diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..59e571c
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,3 @@
+#Ignore modules added by the repo script
+Device
+#Ignore IDE generated files
\ No newline at end of file
diff --git a/CMSIS_END_USER_LICENCE_AGREEMENT.pdf b/CMSIS_END_USER_LICENCE_AGREEMENT.pdf
new file mode 100644
index 0000000..c67c867
--- /dev/null
+++ b/CMSIS_END_USER_LICENCE_AGREEMENT.pdf
Binary files differ
diff --git a/CMSIS_END_USER_LICENCE_AGREEMENT.rtf b/CMSIS_END_USER_LICENCE_AGREEMENT.rtf
new file mode 100644
index 0000000..e18d125
--- /dev/null
+++ b/CMSIS_END_USER_LICENCE_AGREEMENT.rtf
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+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS DELIVERABLES}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  AND YOU MAY NOT INSTALL, USE OR COPY THE }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS DELIVERABLES}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 .
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93Deliverables\'94
+ means (i) the CMSIS Deliverables; (ii) CMSIS-DAP Specification; (iii) CMSIS-DAP Firmware; and (iv) RDDI DLL.
+\par \'93CMSIS-DAP Specification\'94 means any documentation defining the application programming interface, naming and coding conventions of the Cortex Microcontroller Software Interface Standard Debug Access Port (\'93CMSIS-DAP\'94). }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 \hich\f1 Notwithstanding the foregoing, \'93}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 CMSIS-DAP }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 \hich\f1 Specification\'94\loch\f1  shall not include}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 :}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1  (i) the implementation of other published specifications referenced in th}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 e}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 CMSIS-DAP }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 Specific\hich\af1\dbch\af37\loch\f1 ation; }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 and }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 (ii) any enabling technologies that may be necessary to make or use any product or portion}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 s}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1  thereof that complies with the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 CMSIS-DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 Specification, but are not themselves expressly set forth in th}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 e}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+CMSIS-DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 Specification (e.g. compiler front en\hich\af1\dbch\af37\loch\f1 
+ds, code generators, back ends, libraries or other compiler, assembler or linker technologies; validation or debug software or hardware; applications, operating system or driver software; RISC architecture; }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 and }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1 processor microarchitecture)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 . }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid4029239 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid11929640 \hich\af1\dbch\af37\loch\f1 CMSIS-DAP Fi\hich\af1\dbch\af37\loch\f1 
+rmware}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'94
+ means the C programming language source code accompanying this Licence which implements the functionality of the application programming interface as defined in the CMSIS-DAP Specification and any updates, patches and modifications ARM may make ava
+ilable under the terms of this Licence.
+\par \'93CMSIS Deliverables\'94 means the following components: (i) CMSIS-CORE; (ii) CMSIS-DRIVER; (iii) CMSIS-DSP; (iv) CMSIS-PACK; (v) CMSIS-RTOS API; and (vi) CMSIS-SVD . 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\tx0\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93CMSIS-CORE
+\'94 means the specification defining the application programming interface, naming and coding conventions for the Cortex-M processor cores.
+\par \'94}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid488451 \hich\af1\dbch\af37\loch\f1 CMSIS-DRIVER}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'94}{\rtlch\fcs1 \af0 \ltrch\fcs0 
+\insrsid14553496 \hich\af37\dbch\af37\loch\f37  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid488451 \hich\af1\dbch\af37\loch\f1 means the specification defining }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 a generic}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid488451 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 p}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid488451 \hich\af1\dbch\af37\loch\f1 eripheral }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 d}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496\charrsid488451 \hich\af1\dbch\af37\loch\f1 river application programming interface, naming and coding conventions}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14553496 .
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  \'93CMSIS-DSP\'94
+ means the digital signal process (DSP) library specification defining the application programming interface of a DSP library implementation}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15023647 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\tx0\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13240697 \hich\af1\dbch\af37\loch\f1 CMSIS-PACK}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'94}{\rtlch\fcs1 \af0 \ltrch\fcs0 
+\insrsid14553496\charrsid13240697 \hich\af37\dbch\af37\loch\f37  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13240697 \hich\af1\dbch\af37\loch\f1 means the specification defining a software pack file format}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 , verification utility, }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13240697 \hich\af1\dbch\af37\loch\f1 and the associated XML
+\hich\af1\dbch\af37\loch\f1  schema file}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14553496\charrsid13240697 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93CMSIS-RTOS API\'94
+ means the real-time operating system (RTOS) specification defining a generic application programming interface layer for a RTOS system}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15023647 .}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93CMSIS-SVD\'94 }{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid9306407 means }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+the specification defining the System View Description (SVD), verification utility, }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf17\lang1033\langfe2057\langnp1033\langfenp2057\insrsid14553496\charrsid9306407 and associated XML}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf17\lang1033\langfe2057\langnp1033\langfenp2057\insrsid14553496  schema}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf17\lang1033\langfe2057\langnp1033\langfenp2057\insrsid14553496\charrsid9306407  files. }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid9306407 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \'93Firmware\'94 means firmware that complies with the CMSIS-DAP Specification. 
+\par \'93RDDI DLL\'94 means the reference implementation of a device driver }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6236778 accompanying this Licence}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  in object code form and any updates, patch
+es and modifications ARM may agree to make available under the terms of this Licence and is used with targets containing microprocessors manufactured or simulated under licence from ARM.                    
+\par \'93Separate Files\'94 means the components }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid10227990 identified}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  in the Schedule.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid3618484 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  
+\par \'93Target Connection Product\'94 means a target connection product that complies with the CMSIS-DAP Specification and is used on or with a target containing microprocessors manufactured or simulated under licence from ARM.                    
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid5577184 \hich\af1\dbch\af37\loch\f1 
+Notwithstanding the foregoing, the Deliverables shall not include: (i) the implementation of other published specifications referenced in the Deliverables; (ii) any enabling technologies that may be necessary to make or use any product or portion thereof 
+\hich\af1\dbch\af37\loch\f1 
+that complies with the Deliverables, but are not themselves expressly set forth in the Deliverables  (e.g. compiler front ends, code generators, back ends, libraries or other compiler, assembler or linker technologies; validation or debug software or hard
+\hich\af1\dbch\af37\loch\f1 w\hich\af1\dbch\af37\loch\f1 
+are; applications, operating system or driver software; RISC architecture; processor microarchitecture); (iii) maskworks and physical layouts of integrated circuit designs; or (iv) RTL or other high level representations of integrated circuit designs.}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 1. LICENCE GRANTS.
+\par }\pard \ltrpar\qj \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 1.1}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS DELIVERABLES 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 ARM hereby grants to you, subject to the terms and conditions of this Licence, a non-exclusive, non-transferable }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid1317547 licence, to use and copy the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS D}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 eliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 for the purpose of: }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar
+\tx426\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 (i) subject to clause 1.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 5(i)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 , developing, having developed, manufacturing, having manufactured, offering to sell, selling, supplying or otherwise distributing products that comply with the }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS D}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 eliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 ; and 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid1317547 (ii) distributing and having distributed (directly or through your customers and authorised distributors) the CMSIS-D}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 eliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid1317547  unmodified, with the products}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135  you have developed under }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Clause 1.1 (i) }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 provided you preserve any copyright notices which are included with the CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  D}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 eliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 . }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par 1.2 CMSIS-DAP SPECIFICATION
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 ARM hereby grants to you, subject to the terms and conditions of this Licence, a non-exclusive, non-transferable licence, to }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid3605578 use and copy the CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 -DAP }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6386005 Specification}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  for the purposes of:
+\par }\pard \ltrpar\qj \fi-567\li567\ri0\sl276\slmult1\widctlpar\tx567\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 (a)\tab }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11225765 
+developing, having developed, manufacturing, having manufactured, offering to sell, selling, supplying}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+, distributing or having distributed a Target Connection Product}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ;}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496   
+\par }\pard \ltrpar\qj \fi-567\li567\ri0\sl276\slmult1\widctlpar\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 (b)\tab }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11225765 developing, having developed, }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 subject to clause 1.5(ii) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11225765 
+offering to sell, selling, supplying}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11225765 
+distributing}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  or having distributed }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+(directly or through your cus\hich\af1\dbch\af37\loch\f1 tomers and authorised distributors) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Firmware to run on a Target Connection Product; and
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 (c)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \tab subject to clause 1.5(ii), }{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 distributing }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 and }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 having distributed }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+(directly or through your customers and authorised distributors) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 the CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 -}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14559761 Specification unmodified}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ,}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14559761  with}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 either or both the}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827  Target Connection Products and Firmware}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , developed under the licences granted in this Clause 1.2}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar
+\tx426\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par 1.3 CMSIS-DAP FIRMWARE
+\par }\pard \ltrpar\qj \li0\ri0\sl276\slmult1\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 
+\cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ARM hereby grants to you, subject to the terms and conditions of this Licence, a non-exclusive, non-trans\hich\af1\dbch\af37\loch\f1 ferable licence, to: 
+
+\par }\pard \ltrpar\qj \fi-567\li567\ri0\sl276\slmult1\widctlpar
+\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 (a)\tab }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid10356267 \hich\af1\dbch\af37\loch\f1 use, copy}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid2558325 
+\hich\af1\dbch\af37\loch\f1 , and modify the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 CMSIS-DAP Firmware }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+for the purposes of developing and having developed }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid8745136 firmware to run on}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  a Target Connection Product; and
+\par (b)\tab subject to clause 1.5(ii), offer to sell, selling, }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid5058240 supply}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , supplying, }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid8745136 distributing}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  or having distributed }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+(directly or through your customers and authorised distributors)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  CMSIS-DAP Firmware or any modified version created under Clause 1.3 (a) }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid8745136 in}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6192099  object code form only }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 to run on a Target Connection Product. }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid9913780  }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar
+\tx426\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  1.4 RDDI DLL
+\par }\pard \ltrpar\qj \li0\ri0\sl276\slmult1\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 
+\cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ARM hereby grants to you, subject to the terms and conditions of this Licence, a non-exclusive, non-transferable licence, to: 
+\par }\pard \ltrpar\qj \fi-567\li567\ri0\sl276\slmult1\widctlpar
+\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 (a)\tab use and copy the RDDI DLL for the purpose }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid13793259 of connecting }{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 a Target Connection Product }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11805076 
+running CMSIS-DAP compatible firmware }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 (either the Firmware or the firmware created pursuant to Clause 1.3) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11805076 to }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 software debug tools installed on }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11805076 a host }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 computer running a Windows platform}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid11805076 ; and}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  
+\par (b)\tab subject to clause 1.5(ii), offer to sell, selling, supplying, distributing or having distributed }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 (directly or 
+\hich\af1\dbch\af37\loch\f1 through your customers and authorised distributors) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 the RDDI DLL in object code form only.  
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar
+\tx426\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid6756135 
+\par }\pard \ltrpar\qj \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 1.5}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  CONDITIONS ON REDISTRIBUTION}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 
+\cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 (i) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 
+\hich\af1\dbch\af37\loch\f1 If you distribute (directly or through your customers and authorised distributors) the products you have created pursuant \hich\af1\dbch\af37\loch\f1 to Clause 1.1}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 \hich\af1\dbch\af37\loch\f1 (i) you agree: (a) not to use ARM
+\hich\f1 \rquote \loch\f1 s name, logo or trademarks to market any or all of the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid1928237 products created under Clause 1.1 (i); }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 \hich\af1\dbch\af37\loch\f1 (b) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 to }{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 \hich\af1\dbch\af37\loch\f1 pr}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 e}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 \hich\af1\dbch\af37\loch\f1 serve any copyright notices included in the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 CMSIS D}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 eliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 \hich\af1\dbch\af37\loch\f1 ; and (c) to ensure your customers and aut\hich\af1\dbch\af37\loch\f1 horised distributors comply with this Clause 1.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 5(i)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid1928237 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1     
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+(ii) If you are authorised and choose to distribute (directly or through your customers and authorised distributors) the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 CMSIS}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 -}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14559761 Specification}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 Firmware, CMSIS-DAP Firmware or any modified version \hich\af1\dbch\af37\loch\f1 
+thereof, or the RDDI DLL, you agree; (a) to ensure that they are licensed for use with targets containing microprocessors manufactured or simulated under licence from ARM; (b) to preserve any copyright notices which are included with the }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 -}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14559761 Specification}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , CMSIS-DAP Firmware}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 
+, and include valid copyright notices in; (i) any modified version of the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 CMSIS-DAP Firmware}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ; and (ii) the Firmware; (c) not to use ARM\hich\f1 \rquote \loch\f1 s name, logo or trademarks to market -any or all of the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 -}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid4549827 DAP }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14559761 Specification}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 , Firmware,}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1  CMSI\hich\af1\dbch\af37\loch\f1 
+S-DAP Firmware or any modified version therof, the RDDI DLL or the Target Connection Products; and (d) to ensure your customers and authorised distributors comply with this Clause 1.5(ii).    
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 
+\cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 2. RESTRICTIONS ON USE OF THE}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  DELIVERABLES
+}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 .
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 
+\cbpat8 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 PERMITTED USERS: The }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+Deliverables }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 shall be used only by you (either a single individual, or single legal entity) your employees, or by your }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 on-site }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+bona fide sub-contractors for whose acts and omissions you hereby agree to be responsible to ARM}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  for}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  to the same extent as }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 you are for }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 your employees, and provided always that such sub-contractors}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 :}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  (i) are contractually obligated to use the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+Deliverables }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 only for your benefit}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ;}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  and (i}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 i}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 ) agree to assign all their work product and any rights they create therein in the supply of such work to you.
+\par COPYRIGHT AND RESERVATION OF RIGHTS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14488502 : The }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14488502 
+ are owned by ARM or its licensors and are protected by copyright and other intellectual property laws and international treaties. The }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14488502  are licensed not sold. Except as expressly licensed herein, you acquire no right, title or interest in the }{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14488502 
+ or any intellectual property therein. In no event shall the licences granted herein be construed as granting you, expressly or by implication, estoppels or otherwise, a licence to use any ARM technology except the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid14488502 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 3}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . SUPPORT.
+\par ARM is not obligated to support the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables but}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  may do so entirely at ARM's discretion. 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 4}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 NO }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 WARRANT}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Y.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+\par YOU AGREE THAT THE }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 DELIVERABLES ARE}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+ LICENSED "AS IS", AND THAT ARM EXPRESSLY DISCLA
+IMS ALL REPRESENTATIONS, WARRANTIES, CONDITIONS OR OTHER TERMS, EXPRESS, IMPLIED OR STATUTORY, INCLUDING WITHOUT LIMITATION THE IMPLIED WARRANTIES OF NON-INFRINGEMENT, SATISFACTORY QUALITY, AND FITNESS FOR A PARTICULAR PURPOSE.}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  THE DELIVERABLES MAY CONTAIN ERRORS.  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 5}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . LIMITATION OF LIABILITY.
+\par THE MAXIMUM LIABILITY OF ARM TO YOU IN AGGREGATE FOR ALL CLAIMS MADE AGAINST ARM IN CONTRACT}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ,}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  TORT OR OTHERWISE UNDER OR IN CONNECTION WITH THE SUBJECT MATTER OF THIS LICENCE SHALL NOT EXCEED }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 THE GREATER OF (I) }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 THE TO
+TAL OF SUMS PAID BY YOU TO ARM (IF ANY) FOR THIS LICENCE}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  AND (II) US$10.00}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 .}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+  THE LIMITATIONS, EXCLUSIONS AND DISCLAIMERS IN THIS LICENCE SHALL APPLY TO THE MAXIMUM EXTENT ALLOWED BY APPLICABLE LAW.
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 6
+}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid13830602 \hich\af1\dbch\af37\loch\f1 . THIRD PARTY RIGHTS.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13830602 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid13830602 \hich\af1\dbch\af37\loch\f1 The Separate Files are delivered su\hich\af1\dbch\af37\loch\f1 \hich\f1 
+bject to and your use is governed by their own separate licence agreements. This Licence does not apply to such Separate Files and they are not included in the term \'93}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\lang1024\langfe1024\noproof\insrsid14553496 \hich\af1\dbch\af37\loch\f1 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\lang1024\langfe1024\noproof\insrsid14553496\charrsid13830602 \loch\af1\dbch\af37\hich\f1 \'94\loch\f1 
+ under this Licence. You agree to comply with all terms and conditions impose\hich\af1\dbch\af37\loch\f1 \hich\f1 d on you in respect of such Separate Files including those identified in the Schedule (\'93\loch\f1 \hich\f1 Third Party Terms\'94\loch\f1 
+).  
+\par \hich\af1\dbch\af37\loch\f1 ARM HEREBY DISCLAIMS ANY AND ALL WARRANTIES EXPRESS OR IMPLIED FROM ANY THIRD PARTIES REGARDING ANY SEPARATE FILES, ANY THIRD PARTY MATERIALS INC\hich\af1\dbch\af37\loch\f1 \hich\f1 
+LUDED IN THE SOFTWARE, ANY THIRD PARTY MATERIALS FROM WHICH THE SOFTWARE IS DERIVED (COLLECTIVELY \'93\loch\f1 \hich\f1 OTHER CODE\'94\loch\f1 
+), AND THE USE OF ANY OR ALL THE OTHER CODE IN CONNECTION WITH THE SOFTWARE, INCLUDING (WITHOUT LIMITATION) ANY WARRANTIES OF SATISFACTORY QUALIT\hich\af1\dbch\af37\loch\f1 Y\hich\af1\dbch\af37\loch\f1  OR FITNESS FOR A PARTICULAR PURPOSE.
+\par \hich\af1\dbch\af37\loch\f1 NO THIRD PARTY LICENSORS OF OTHER CODE SHALL HAVE ANY LIABILITY FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING WITHOUT LIMITATION LOST PROFITS), HOWEVER CAUSED AND WHETHER
+\hich\af1\dbch\af37\loch\f1 
+ MADE UNDER CONTRACT, TORT OR OTHER LEGAL THEORY, ARISING IN ANY WAY OUT OF THE USE OR DISTRIBUTION OF THE OTHER CODE OR THE EXERCISE OF ANY RIGHTS GRANTED UNDER EITHER OR BOTH THIS LICENCE AND THE LEGAL TERMS APPLICABLE TO ANY SEPARATE FILES, EVEN IF ADV
+\hich\af1\dbch\af37\loch\f1 I\hich\af1\dbch\af37\loch\f1 SED OF THE POSSIBILITY OF SUCH DAMAGES.
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 7}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . U.S. GOVERNMENT END USERS.
+\par US Government Restrictions: Use, duplication, reproduction, release, modification, disclosure or transfer of this commercial product and accompanying documentation is restricted in accordance with the terms of this Licence.
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 8}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . TERM AND TERMINATION.
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 8.1 }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+This Licence shall remain in force until terminated }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 in accordance with the terms of Clause 8.2 or Clause 8.3 below}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par 8.2 }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 Without prejudice to any of its other rights if you are in breach of
+ any of the terms and conditions of this Licence then ARM may terminate this Licence immediately upon giving written notice to you}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid7630822 
+.  You may terminate this Licence at any time. }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7106724 \hich\af1\dbch\af37\loch\f1 
+8.3 This Licence shall immediately terminate and shall be unavailable to you i\hich\af1\dbch\af37\loch\f1 
+f you or any party affiliated to you asserts any patents against ARM, ARM affiliates, third parties who have a valid licence from ARM for the Deliverables, or any customers or distributors of any of them based upon a claim that your (or your affiliate) pa
+\hich\af1\dbch\af37\loch\f1 t\hich\af1\dbch\af37\loch\f1 ent is Necessary to implement the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496\charrsid7106724 \hich\af1\dbch\af37\loch\f1 . In this Licence}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 :}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7106724 
+\hich\af1\dbch\af37\loch\f1  (i) "affiliate" means any entity controlling, controlled by or under common control with a party (in fact or in law, via voting securities, management control or otherwise) and "affiliated" s\hich\af1\dbch\af37\loch\f1 
+hall be construed accordingly; (ii) "assert" means to allege infringement in legal or administrative proceedings, or proceedings before any other competent trade, arbitral or international authority; }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 and }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7106724 \hich\af1\dbch\af37\loch\f1 \hich\f1 (iii) \'93\loch\f1 \hich\f1 Necessary\'94\loch\f1 
+ means with respect to any claims o\hich\af1\dbch\af37\loch\f1 f any patent, those claims which, without the appropriate permission of the patent owner, will be infringed when implementing the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\hich\af1\dbch\af37\loch\f1 Deliverables }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7106724 \hich\af1\dbch\af37\loch\f1 because no alternative, commercially reasonable, non-infringing way of implementing the }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 Deliverables }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7106724 \hich\af1\dbch\af37\loch\f1 is known.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496\charrsid5900444 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 8.4 }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid7630822 Upon termination of this Licence,}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636  you shall stop }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 
+using the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 
+ and destroy all copies of the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396  in your possession. The provisions of clauses 5, 6, 7, 8 and 9 shall survive termination of this Licence.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636   
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 9}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 . GENERAL.
+\par This Licence is governed by English Law. Except where ARM agrees otherwise in a written contract signed by you and ARM, this is the only agreement between you and ARM relating to the }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Deliverables}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15280636 
+ and it may only be modified by written agreement between you and ARM. Except a
+s expressly agreed in writing, this Licence may not be modified by purchase orders, advertising or other representation by any person. If any clause or sentence in this Licence is held by a court of law to be illegal or unenforceable the remaining provisi
+o
+ns of this Licence shall not be affected thereby. The failure by ARM to enforce any of the provisions of this Licence, unless waived in writing, shall not constitute a waiver of ARM's rights to enforce such provision or any other provision of this Licence
+ in the future.}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496   This Licence may not be assigned without the prior written consent of ARM.
+\par }\pard \ltrpar\qc \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 \page SCHEDULE
+\par }\pard \ltrpar\qj \li0\ri0\sa240\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \cbpat8 {
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 Separate Files
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 The }{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 package }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 also }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 includes the components}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496  contained in the following directories}{\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 :}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 
+\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\insrsid14553496 \hich\af1\dbch\af0\loch\f1 (a)\tab}}\pard \ltrpar
+\qj \fi-360\li720\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\ls16\adjustright\rin0\lin720\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ./}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 /}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 
+\hich\af1\dbch\af37\loch\f1 DSP_Lib}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1  -  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496\charrsid15098396 
+DSP Library sources and examples}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ; 
+\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\insrsid14553496 \hich\af1\dbch\af0\loch\f1 (b)\tab}}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ./}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 CMS\hich\af1\dbch\af37\loch\f1 IS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 /}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 Include}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1  - Header files; 
+\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\insrsid14553496 \hich\af1\dbch\af0\loch\f1 (c)\tab}}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ./}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 /}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 
+\hich\af1\dbch\af37\loch\f1 Lib}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1  - }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 
+DSP Library build for various toolchains}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ; 
+\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\insrsid14553496 \hich\af1\dbch\af0\loch\f1 (d)\tab}}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 ./}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 CMSIS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 /}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 
+\hich\af1\dbch\af37\loch\f1 RTOS}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1  - }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid7090778 \hich\af1\dbch\af37\loch\f1 
+Header file template for CMSIS-RTOS implementation}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ; and 
+\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\insrsid14553496 \hich\af1\dbch\af0\loch\f1 (e)\tab}}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\cf1\lang2057\langfe2057\langfenp2057\insrsid14553496 .}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 /Device - T}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid14488502 \hich\af1\dbch\af37\loch\f1 emplate files and implementations for Cortex-M class processors}{
+\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 . 
+\par }\pard \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par \hich\af1\dbch\af37\loch\f1 All of the above com\hich\af1\dbch\af37\loch\f1 ponents (a\hich\f1 \endash \loch\f1  e) are licensed to you under the terms of the BSD licence, which is incorporated within or alongside the above components.  
+\par }\pard \ltrpar\qj \li284\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin284\itap0\pararsid14553496 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1   }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 
+\f1\fs18\insrsid14553496\charrsid13975144 \hich\af1\dbch\af37\loch\f1 (f)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1    }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13975144 
+\hich\af1\dbch\af37\loch\f1 ./CMSIS/Driver \hich\f1 \endash \loch\f1  CMSIS-Driver header files}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid13975144 \hich\af1\dbch\af37\loch\f1   (g)}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1  }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14553496 
+\hich\af37\dbch\af37\loch\f37  }{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 ./CMSIS/Pack \hich\f1 \endash \loch\f1  Example Device Family Pack}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14553496\charrsid13975144 
+
+\par }\pard\plain \ltrpar\s32\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \rtlch\fcs1 \af0\afs21\alang1025 \ltrch\fcs0 \f39\fs21\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch\fcs1 
+\af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496 
+\par The above components (f \endash  g) are licensed to you under the terms of the zlib licence, which is incorporated within or alongside the above components.
+\par 
+\par 
+\par }\pard\plain \ltrpar\qj \li0\ri0\sa200\sl276\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14553496 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 
+\fs22\lang2057\langfe1033\loch\af37\hich\af37\dbch\af37\cgrid\langnp2057\langfenp1033 {\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid2958685 \hich\af1\dbch\af37\loch\f1 ARM contract reference LEC-PRE-00489}{\rtlch\fcs1 \af1\afs18 
+\ltrch\fcs0 \f1\fs18\insrsid14553496 \hich\af1\dbch\af37\loch\f1 - v4.0}{\rtlch\fcs1 \af1\afs18 \ltrch\fcs0 \f1\fs18\insrsid14553496\charrsid2958685 
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\ No newline at end of file
diff --git a/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt
new file mode 100644
index 0000000..14dae71
--- /dev/null
+++ b/DSP_Lib/Examples/arm_class_marks_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_class_marks_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c b/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c
new file mode 100644
index 0000000..d140e26
--- /dev/null
+++ b/DSP_Lib/Examples/arm_class_marks_example/ARM/arm_class_marks_example_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_class_marks_example_f32.c
+*
+* Description:   Example code to calculate Minimum, Maximum
+*                Mean, std and variance of marks obtained in a class
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ClassMarks Class Marks Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance
+ * and Matrix functions to calculate statistical values of marks obtained in a class.
+ *
+ * \note This example also demonstrates the usage of static initialization.
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects
+ * \li \c max_marks     Maximum of all marks
+ * \li \c min_marks     Minimum of all marks
+ * \li \c mean          Mean of all marks
+ * \li \c var           Variance of the marks
+ * \li \c std           Standard deviation of the marks
+ * \li \c numStudents   Total number of students in the class
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_mult_f32()
+ * - arm_max_f32()
+ * - arm_min_f32()
+ * - arm_mean_f32()
+ * - arm_std_f32()
+ * - arm_var_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_class_marks_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_class_marks_example_f32.c
+  */
+#include "arm_math.h"
+
+#define USE_STATIC_INIT
+
+ /* ----------------------------------------------------------------------
+** Global defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES   (20*4)
+
+/* ----------------------------------------------------------------------
+** List of Marks scored by 20 students for 4 subjects
+** ------------------------------------------------------------------- */
+const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] =
+{
+  42.000000,  37.000000,  81.000000,  28.000000,
+  83.000000,  72.000000,  36.000000,  38.000000,
+  32.000000,  51.000000,  63.000000,  64.000000,
+  97.000000,  82.000000,  95.000000,  90.000000,
+  66.000000,  51.000000,  54.000000,  42.000000,
+  67.000000,  56.000000,  45.000000,  57.000000,
+  67.000000,  69.000000,  35.000000,  52.000000,
+  29.000000,  81.000000,  58.000000,  47.000000,
+  38.000000,  76.000000, 100.000000,  29.000000,
+  33.000000,  47.000000,  29.000000,  50.000000,
+  34.000000,  41.000000,  61.000000,  46.000000,
+  52.000000,  50.000000,  48.000000,  36.000000,
+  47.000000,  55.000000,  44.000000,  40.000000,
+ 100.000000,  94.000000,  84.000000,  37.000000,
+  32.000000,  71.000000,  47.000000,  77.000000,
+  31.000000,  50.000000,  49.000000,  35.000000,
+  63.000000,  67.000000,  40.000000,  31.000000,
+  29.000000,  68.000000,  61.000000,  38.000000,
+  31.000000,  28.000000,  28.000000,  76.000000,
+  55.000000,  33.000000,  29.000000,  39.000000
+};
+
+
+/* ----------------------------------------------------------------------
+* Number of subjects X 1
+* ------------------------------------------------------------------- */
+const float32_t testUnity_f32[4] =
+{
+  1.000,  1.000,   1.000,  1.000
+};
+
+
+/* ----------------------------------------------------------------------
+** f32 Output buffer
+** ------------------------------------------------------------------- */
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+
+/* ------------------------------------------------------------------
+* Global defines
+*------------------------------------------------------------------- */
+#define   NUMSTUDENTS  20
+#define     NUMSUBJECTS  4
+
+/* ------------------------------------------------------------------
+* Global variables
+*------------------------------------------------------------------- */
+
+ uint32_t    numStudents = 20;
+ uint32_t    numSubjects = 4;
+float32_t    max_marks, min_marks, mean, std, var;
+ uint32_t    student_num;
+
+/* ----------------------------------------------------------------------------------
+* Main f32 test function.  It returns maximum marks secured and student number
+* ------------------------------------------------------------------------------- */
+
+int32_t main()
+{
+
+#ifndef  USE_STATIC_INIT
+
+  arm_matrix_instance_f32 srcA;
+  arm_matrix_instance_f32 srcB;
+  arm_matrix_instance_f32 dstC;
+
+  /* Input and output matrices initializations */
+  arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32);
+  arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32);
+  arm_mat_init_f32(&dstC, numStudents, 1, testOutput);
+
+#else
+
+  /* Static Initializations of Input and output matrix sizes and array */
+  arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32};
+  arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32};
+  arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput};
+
+#endif
+
+
+  /* ----------------------------------------------------------------------
+  *Call the Matrix multiplication process function
+  * ------------------------------------------------------------------- */
+  arm_mat_mult_f32(&srcA, &srcB, &dstC);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Max function to calculate max marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_max_f32(testOutput, numStudents, &max_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Min function to calculate min marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_min_f32(testOutput, numStudents, &min_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Mean function to calculate mean
+  ** ------------------------------------------------------------------- */
+  arm_mean_f32(testOutput, numStudents, &mean);
+
+  /* ----------------------------------------------------------------------
+  ** Call the std function to calculate standard deviation
+  ** ------------------------------------------------------------------- */
+  arm_std_f32(testOutput, numStudents, &std);
+
+  /* ----------------------------------------------------------------------
+  ** Call the var function to calculate variance
+  ** ------------------------------------------------------------------- */
+  arm_var_f32(testOutput, numStudents, &var);
+
+  while(1);                             /* main function does not return */
+}
diff --git a/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt
new file mode 100644
index 0000000..14dae71
--- /dev/null
+++ b/DSP_Lib/Examples/arm_class_marks_example/GCC/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_class_marks_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c b/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c
new file mode 100644
index 0000000..d140e26
--- /dev/null
+++ b/DSP_Lib/Examples/arm_class_marks_example/GCC/arm_class_marks_example_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_class_marks_example_f32.c
+*
+* Description:   Example code to calculate Minimum, Maximum
+*                Mean, std and variance of marks obtained in a class
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ClassMarks Class Marks Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance
+ * and Matrix functions to calculate statistical values of marks obtained in a class.
+ *
+ * \note This example also demonstrates the usage of static initialization.
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects
+ * \li \c max_marks     Maximum of all marks
+ * \li \c min_marks     Minimum of all marks
+ * \li \c mean          Mean of all marks
+ * \li \c var           Variance of the marks
+ * \li \c std           Standard deviation of the marks
+ * \li \c numStudents   Total number of students in the class
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_mult_f32()
+ * - arm_max_f32()
+ * - arm_min_f32()
+ * - arm_mean_f32()
+ * - arm_std_f32()
+ * - arm_var_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_class_marks_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_class_marks_example_f32.c
+  */
+#include "arm_math.h"
+
+#define USE_STATIC_INIT
+
+ /* ----------------------------------------------------------------------
+** Global defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES   (20*4)
+
+/* ----------------------------------------------------------------------
+** List of Marks scored by 20 students for 4 subjects
+** ------------------------------------------------------------------- */
+const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] =
+{
+  42.000000,  37.000000,  81.000000,  28.000000,
+  83.000000,  72.000000,  36.000000,  38.000000,
+  32.000000,  51.000000,  63.000000,  64.000000,
+  97.000000,  82.000000,  95.000000,  90.000000,
+  66.000000,  51.000000,  54.000000,  42.000000,
+  67.000000,  56.000000,  45.000000,  57.000000,
+  67.000000,  69.000000,  35.000000,  52.000000,
+  29.000000,  81.000000,  58.000000,  47.000000,
+  38.000000,  76.000000, 100.000000,  29.000000,
+  33.000000,  47.000000,  29.000000,  50.000000,
+  34.000000,  41.000000,  61.000000,  46.000000,
+  52.000000,  50.000000,  48.000000,  36.000000,
+  47.000000,  55.000000,  44.000000,  40.000000,
+ 100.000000,  94.000000,  84.000000,  37.000000,
+  32.000000,  71.000000,  47.000000,  77.000000,
+  31.000000,  50.000000,  49.000000,  35.000000,
+  63.000000,  67.000000,  40.000000,  31.000000,
+  29.000000,  68.000000,  61.000000,  38.000000,
+  31.000000,  28.000000,  28.000000,  76.000000,
+  55.000000,  33.000000,  29.000000,  39.000000
+};
+
+
+/* ----------------------------------------------------------------------
+* Number of subjects X 1
+* ------------------------------------------------------------------- */
+const float32_t testUnity_f32[4] =
+{
+  1.000,  1.000,   1.000,  1.000
+};
+
+
+/* ----------------------------------------------------------------------
+** f32 Output buffer
+** ------------------------------------------------------------------- */
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+
+/* ------------------------------------------------------------------
+* Global defines
+*------------------------------------------------------------------- */
+#define   NUMSTUDENTS  20
+#define     NUMSUBJECTS  4
+
+/* ------------------------------------------------------------------
+* Global variables
+*------------------------------------------------------------------- */
+
+ uint32_t    numStudents = 20;
+ uint32_t    numSubjects = 4;
+float32_t    max_marks, min_marks, mean, std, var;
+ uint32_t    student_num;
+
+/* ----------------------------------------------------------------------------------
+* Main f32 test function.  It returns maximum marks secured and student number
+* ------------------------------------------------------------------------------- */
+
+int32_t main()
+{
+
+#ifndef  USE_STATIC_INIT
+
+  arm_matrix_instance_f32 srcA;
+  arm_matrix_instance_f32 srcB;
+  arm_matrix_instance_f32 dstC;
+
+  /* Input and output matrices initializations */
+  arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32);
+  arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32);
+  arm_mat_init_f32(&dstC, numStudents, 1, testOutput);
+
+#else
+
+  /* Static Initializations of Input and output matrix sizes and array */
+  arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32};
+  arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32};
+  arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput};
+
+#endif
+
+
+  /* ----------------------------------------------------------------------
+  *Call the Matrix multiplication process function
+  * ------------------------------------------------------------------- */
+  arm_mat_mult_f32(&srcA, &srcB, &dstC);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Max function to calculate max marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_max_f32(testOutput, numStudents, &max_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Min function to calculate min marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_min_f32(testOutput, numStudents, &min_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Mean function to calculate mean
+  ** ------------------------------------------------------------------- */
+  arm_mean_f32(testOutput, numStudents, &mean);
+
+  /* ----------------------------------------------------------------------
+  ** Call the std function to calculate standard deviation
+  ** ------------------------------------------------------------------- */
+  arm_std_f32(testOutput, numStudents, &std);
+
+  /* ----------------------------------------------------------------------
+  ** Call the var function to calculate variance
+  ** ------------------------------------------------------------------- */
+  arm_var_f32(testOutput, numStudents, &var);
+
+  while(1);                             /* main function does not return */
+}
diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt
new file mode 100644
index 0000000..42dce12
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_convolution_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c b/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c
new file mode 100644
index 0000000..00b0213
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/ARM/arm_convolution_example_f32.c
@@ -0,0 +1,247 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_convolution_example_f32.c
+*
+* Description:   Example code demonstrating Convolution of two input signals using fft.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ConvolutionExample Convolution Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex
+ * Multiplication, and Support Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The convolution theorem states that convolution in the time domain corresponds to
+ * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of
+ * two signals is equal to the product of their individual Fourier transforms.
+ * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT).
+ * \par
+ * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively,
+ * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code>
+ * and is a power of 4 as FFT implementation is radix-4.
+ * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input
+ * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of
+ * the multiplied result.
+ * \par
+ * This is denoted by the following equations:
+ * <pre> A[k] = FFT(a[n],N)
+ * B[k] = FFT(b[n],N)
+ * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre>
+ * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code>
+ * and <code>b[n]</code> respectively.
+ * The length of the convolved signal is <code>(n1+n2-1)</code>.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Convolution.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputA_f32 points to the first input sequence
+ * \li \c srcALen length of the first input sequence
+ * \li \c testInputB_f32 points to the second input sequence
+ * \li \c srcBLen length of the second input sequence
+ * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code>
+ * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ * - arm_cfft_radix4_init_f32()
+ * - arm_cfft_radix4_f32()
+ * - arm_cmplx_mult_cmplx_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_convolution_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_convolution_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   128
+#define DELTA           (0.000001f)
+#define SNR_THRESHOLD   90
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t Ak[MAX_BLOCKSIZE];        /* Input A */
+float32_t Bk[MAX_BLOCKSIZE];        /* Input B */
+float32_t AxB[MAX_BLOCKSIZE * 2];   /* Output */
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Convolution example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+float32_t testInputA_f32[64] =
+{
+  -0.808920,   1.357369,   1.180861,  -0.504544,   1.762637,  -0.703285,
+   1.696966,   0.620571,  -0.151093,  -0.100235,  -0.872382,  -0.403579,
+  -0.860749,  -0.382648,  -1.052338,   0.128113,  -0.646269,   1.093377,
+  -2.209198,   0.471706,   0.408901,   1.266242,   0.598252,   1.176827,
+  -0.203421,   0.213596,  -0.851964,  -0.466958,   0.021841,  -0.698938,
+  -0.604107,   0.461778,  -0.318219,   0.942520,   0.577585,   0.417619,
+   0.614665,   0.563679,  -1.295073,  -0.764437,   0.952194,  -0.859222,
+  -0.618554,  -2.268542,  -1.210592,   1.655853,  -2.627219,  -0.994249,
+  -1.374704,   0.343799,   0.025619,   1.227481,  -0.708031,   0.069355,
+  -1.845228,  -1.570886,   1.010668,  -1.802084,   1.630088,   1.286090,
+  -0.161050,  -0.940794,   0.367961,   0.291907
+
+};
+
+float32_t testInputB_f32[64] =
+{
+   0.933724,   0.046881,   1.316470,   0.438345,   0.332682,   2.094885,
+   0.512081,   0.035546,   0.050894,  -2.320371,   0.168711,  -1.830493,
+  -0.444834,  -1.003242,  -0.531494,  -1.365600,  -0.155420,  -0.757692,
+  -0.431880,  -0.380021,   0.096243,  -0.695835,   0.558850,  -1.648962,
+   0.020369,  -0.363630,   0.887146,   0.845503,  -0.252864,  -0.330397,
+   1.269131,  -1.109295,  -1.027876,   0.135940,   0.116721,  -0.293399,
+  -1.349799,   0.166078,  -0.802201,   0.369367,  -0.964568,  -2.266011,
+   0.465178,   0.651222,  -0.325426,   0.320245,  -0.784178,  -0.579456,
+   0.093374,   0.604778,  -0.048225,   0.376297,  -0.394412,   0.578182,
+  -1.218141,  -1.387326,   0.692462,  -0.631297,   0.153137,  -0.638952,
+  0.635474,   -0.970468,   1.334057,  -0.111370
+};
+
+const float testRefOutput_f32[127] =
+{
+   -0.818943,    1.229484,  -0.533664,    1.016604,   0.341875,  -1.963656,
+    5.171476,    3.478033,   7.616361,    6.648384,   0.479069,   1.792012,
+   -1.295591,   -7.447818,   0.315830,  -10.657445,  -2.483469,  -6.524236,
+   -7.380591,   -3.739005,  -8.388957,    0.184147,  -1.554888,   3.786508,
+   -1.684421,    5.400610,  -1.578126,    7.403361,   8.315999,   2.080267,
+   11.077776,    2.749673,   7.138962,    2.748762,   0.660363,   0.981552,
+    1.442275,    0.552721,  -2.576892,    4.703989,   0.989156,   8.759344,
+   -0.564825,   -3.994680,   0.954710,   -5.014144,   6.592329,   1.599488,
+  -13.979146,   -0.391891,  -4.453369,   -2.311242,  -2.948764,   1.761415,
+   -0.138322,   10.433007,  -2.309103,    4.297153,   8.535523,   3.209462,
+    8.695819,    5.569919,   2.514304,    5.582029,   2.060199,   0.642280,
+    7.024616,    1.686615,  -6.481756,    1.343084,  -3.526451,   1.099073,
+   -2.965764,   -0.173723,  -4.111484,    6.528384,  -6.965658,   1.726291,
+    1.535172,   11.023435,   2.338401,   -4.690188,   1.298210,   3.943885,
+    8.407885,    5.168365,   0.684131,    1.559181,   1.859998,   2.852417,
+    8.574070,   -6.369078,   6.023458,   11.837963,  -6.027632,   4.469678,
+   -6.799093,   -2.674048,   6.250367,   -6.809971,  -3.459360,   9.112410,
+   -2.711621,   -1.336678,   1.564249,   -1.564297,  -1.296760,   8.904013,
+   -3.230109,    6.878013,  -7.819823,    3.369909,  -1.657410,  -2.007358,
+   -4.112825,    1.370685,  -3.420525,   -6.276605,   3.244873,  -3.352638,
+    1.545372,    0.902211,   0.197489,   -1.408732,   0.523390,   0.348440, 0
+};
+
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t srcALen = 64;   /* Length of Input A */
+uint32_t srcBLen = 64;   /* Length of Input B */
+uint32_t outLen;         /* Length of convolution output */
+float32_t snr;           /* output SNR */
+
+int32_t main(void)
+{
+  arm_status status;                           /* Status of the example */
+  arm_cfft_radix4_instance_f32 cfft_instance;  /* CFFT Structure instance */
+
+  /* CFFT Structure instance pointer */
+  arm_cfft_radix4_instance_f32 *cfft_instance_ptr =
+      (arm_cfft_radix4_instance_f32*) &cfft_instance;
+
+  /* output length of convolution */
+  outLen = srcALen + srcBLen - 1;
+
+  /* Initialise the fft input buffers with all zeros */
+  arm_fill_f32(0.0,  Ak, MAX_BLOCKSIZE);
+  arm_fill_f32(0.0,  Bk, MAX_BLOCKSIZE);
+
+  /* Copy the input values to the fft input buffers */
+  arm_copy_f32(testInputA_f32,  Ak, MAX_BLOCKSIZE/2);
+  arm_copy_f32(testInputB_f32,  Bk, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CFFT function to compute 64 point fft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1);
+
+  /* Transform input a[n] from time domain to frequency domain A[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Ak);
+  /* Transform input b[n] from time domain to frequency domain B[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Bk);
+
+  /* Complex Multiplication of the two input buffers in frequency domain */
+  arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CIFFT function to compute 64 point ifft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1);
+
+  /* Transform the multiplication output from frequency domain to time domain,
+     that gives the convolved output  */
+  arm_cfft_radix4_f32(cfft_instance_ptr, AxB);
+
+  /* SNR Calculation */
+  snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1);
+
+  /* Compare the SNR with threshold to test whether the
+     computed output is matched with the reference output values. */
+  if( snr > SNR_THRESHOLD)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt
new file mode 100644
index 0000000..42dce12
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/GCC/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_convolution_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c b/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c
new file mode 100644
index 0000000..00b0213
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/GCC/arm_convolution_example_f32.c
@@ -0,0 +1,247 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_convolution_example_f32.c
+*
+* Description:   Example code demonstrating Convolution of two input signals using fft.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ConvolutionExample Convolution Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex
+ * Multiplication, and Support Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The convolution theorem states that convolution in the time domain corresponds to
+ * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of
+ * two signals is equal to the product of their individual Fourier transforms.
+ * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT).
+ * \par
+ * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively,
+ * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code>
+ * and is a power of 4 as FFT implementation is radix-4.
+ * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input
+ * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of
+ * the multiplied result.
+ * \par
+ * This is denoted by the following equations:
+ * <pre> A[k] = FFT(a[n],N)
+ * B[k] = FFT(b[n],N)
+ * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre>
+ * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code>
+ * and <code>b[n]</code> respectively.
+ * The length of the convolved signal is <code>(n1+n2-1)</code>.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Convolution.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputA_f32 points to the first input sequence
+ * \li \c srcALen length of the first input sequence
+ * \li \c testInputB_f32 points to the second input sequence
+ * \li \c srcBLen length of the second input sequence
+ * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code>
+ * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ * - arm_cfft_radix4_init_f32()
+ * - arm_cfft_radix4_f32()
+ * - arm_cmplx_mult_cmplx_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_convolution_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_convolution_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   128
+#define DELTA           (0.000001f)
+#define SNR_THRESHOLD   90
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t Ak[MAX_BLOCKSIZE];        /* Input A */
+float32_t Bk[MAX_BLOCKSIZE];        /* Input B */
+float32_t AxB[MAX_BLOCKSIZE * 2];   /* Output */
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Convolution example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+float32_t testInputA_f32[64] =
+{
+  -0.808920,   1.357369,   1.180861,  -0.504544,   1.762637,  -0.703285,
+   1.696966,   0.620571,  -0.151093,  -0.100235,  -0.872382,  -0.403579,
+  -0.860749,  -0.382648,  -1.052338,   0.128113,  -0.646269,   1.093377,
+  -2.209198,   0.471706,   0.408901,   1.266242,   0.598252,   1.176827,
+  -0.203421,   0.213596,  -0.851964,  -0.466958,   0.021841,  -0.698938,
+  -0.604107,   0.461778,  -0.318219,   0.942520,   0.577585,   0.417619,
+   0.614665,   0.563679,  -1.295073,  -0.764437,   0.952194,  -0.859222,
+  -0.618554,  -2.268542,  -1.210592,   1.655853,  -2.627219,  -0.994249,
+  -1.374704,   0.343799,   0.025619,   1.227481,  -0.708031,   0.069355,
+  -1.845228,  -1.570886,   1.010668,  -1.802084,   1.630088,   1.286090,
+  -0.161050,  -0.940794,   0.367961,   0.291907
+
+};
+
+float32_t testInputB_f32[64] =
+{
+   0.933724,   0.046881,   1.316470,   0.438345,   0.332682,   2.094885,
+   0.512081,   0.035546,   0.050894,  -2.320371,   0.168711,  -1.830493,
+  -0.444834,  -1.003242,  -0.531494,  -1.365600,  -0.155420,  -0.757692,
+  -0.431880,  -0.380021,   0.096243,  -0.695835,   0.558850,  -1.648962,
+   0.020369,  -0.363630,   0.887146,   0.845503,  -0.252864,  -0.330397,
+   1.269131,  -1.109295,  -1.027876,   0.135940,   0.116721,  -0.293399,
+  -1.349799,   0.166078,  -0.802201,   0.369367,  -0.964568,  -2.266011,
+   0.465178,   0.651222,  -0.325426,   0.320245,  -0.784178,  -0.579456,
+   0.093374,   0.604778,  -0.048225,   0.376297,  -0.394412,   0.578182,
+  -1.218141,  -1.387326,   0.692462,  -0.631297,   0.153137,  -0.638952,
+  0.635474,   -0.970468,   1.334057,  -0.111370
+};
+
+const float testRefOutput_f32[127] =
+{
+   -0.818943,    1.229484,  -0.533664,    1.016604,   0.341875,  -1.963656,
+    5.171476,    3.478033,   7.616361,    6.648384,   0.479069,   1.792012,
+   -1.295591,   -7.447818,   0.315830,  -10.657445,  -2.483469,  -6.524236,
+   -7.380591,   -3.739005,  -8.388957,    0.184147,  -1.554888,   3.786508,
+   -1.684421,    5.400610,  -1.578126,    7.403361,   8.315999,   2.080267,
+   11.077776,    2.749673,   7.138962,    2.748762,   0.660363,   0.981552,
+    1.442275,    0.552721,  -2.576892,    4.703989,   0.989156,   8.759344,
+   -0.564825,   -3.994680,   0.954710,   -5.014144,   6.592329,   1.599488,
+  -13.979146,   -0.391891,  -4.453369,   -2.311242,  -2.948764,   1.761415,
+   -0.138322,   10.433007,  -2.309103,    4.297153,   8.535523,   3.209462,
+    8.695819,    5.569919,   2.514304,    5.582029,   2.060199,   0.642280,
+    7.024616,    1.686615,  -6.481756,    1.343084,  -3.526451,   1.099073,
+   -2.965764,   -0.173723,  -4.111484,    6.528384,  -6.965658,   1.726291,
+    1.535172,   11.023435,   2.338401,   -4.690188,   1.298210,   3.943885,
+    8.407885,    5.168365,   0.684131,    1.559181,   1.859998,   2.852417,
+    8.574070,   -6.369078,   6.023458,   11.837963,  -6.027632,   4.469678,
+   -6.799093,   -2.674048,   6.250367,   -6.809971,  -3.459360,   9.112410,
+   -2.711621,   -1.336678,   1.564249,   -1.564297,  -1.296760,   8.904013,
+   -3.230109,    6.878013,  -7.819823,    3.369909,  -1.657410,  -2.007358,
+   -4.112825,    1.370685,  -3.420525,   -6.276605,   3.244873,  -3.352638,
+    1.545372,    0.902211,   0.197489,   -1.408732,   0.523390,   0.348440, 0
+};
+
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t srcALen = 64;   /* Length of Input A */
+uint32_t srcBLen = 64;   /* Length of Input B */
+uint32_t outLen;         /* Length of convolution output */
+float32_t snr;           /* output SNR */
+
+int32_t main(void)
+{
+  arm_status status;                           /* Status of the example */
+  arm_cfft_radix4_instance_f32 cfft_instance;  /* CFFT Structure instance */
+
+  /* CFFT Structure instance pointer */
+  arm_cfft_radix4_instance_f32 *cfft_instance_ptr =
+      (arm_cfft_radix4_instance_f32*) &cfft_instance;
+
+  /* output length of convolution */
+  outLen = srcALen + srcBLen - 1;
+
+  /* Initialise the fft input buffers with all zeros */
+  arm_fill_f32(0.0,  Ak, MAX_BLOCKSIZE);
+  arm_fill_f32(0.0,  Bk, MAX_BLOCKSIZE);
+
+  /* Copy the input values to the fft input buffers */
+  arm_copy_f32(testInputA_f32,  Ak, MAX_BLOCKSIZE/2);
+  arm_copy_f32(testInputB_f32,  Bk, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CFFT function to compute 64 point fft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1);
+
+  /* Transform input a[n] from time domain to frequency domain A[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Ak);
+  /* Transform input b[n] from time domain to frequency domain B[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Bk);
+
+  /* Complex Multiplication of the two input buffers in frequency domain */
+  arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CIFFT function to compute 64 point ifft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1);
+
+  /* Transform the multiplication output from frequency domain to time domain,
+     that gives the convolved output  */
+  arm_cfft_radix4_f32(cfft_instance_ptr, AxB);
+
+  /* SNR Calculation */
+  snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1);
+
+  /* Compare the SNR with threshold to test whether the
+     computed output is matched with the reference output values. */
+  if( snr > SNR_THRESHOLD)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_convolution_example/GCC/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt
new file mode 100644
index 0000000..0c0fd5d
--- /dev/null
+++ b/DSP_Lib/Examples/arm_dotproduct_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_dotproduct_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c b/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c
new file mode 100644
index 0000000..4bfe357
--- /dev/null
+++ b/DSP_Lib/Examples/arm_dotproduct_example/ARM/arm_dotproduct_example_f32.c
@@ -0,0 +1,178 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_dotproduct_example_f32.c
+*
+* Description:   Example code computing dot product of two vectors.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup DotproductExample Dot Product Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of the Multiply and Add functions to perform the dot product.
+ * The dot product of two vectors is obtained by multiplying corresponding elements
+ * and summing the products.
+
+ * \par Algorithm:
+ * \par
+ * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element
+ * and then added to obtain dot product.
+ * \par
+ * This is denoted by the following equation:
+ *         <pre>  dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html dotProduct.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c srcA_buf_f32 points to first input vector
+ * \li \c srcB_buf_f32 points to second input vector
+ * \li \c testOutput   stores dot product of the two input vectors.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_dotproduct_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_dotproduct_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE     32
+#define DELTA           (0.000001f)
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Dot Product example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+/* ----------------------------------------------------------------------
+** Test input data of srcA for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcA_buf_f32[MAX_BLOCKSIZE] =
+{
+  -0.4325648115282207,  -1.6655843782380970,  0.1253323064748307,
+   0.2876764203585489,  -1.1464713506814637,  1.1909154656429988,
+   1.1891642016521031,  -0.0376332765933176,  0.3272923614086541,
+   0.1746391428209245,  -0.1867085776814394,  0.7257905482933027,
+  -0.5883165430141887,   2.1831858181971011, -0.1363958830865957,
+   0.1139313135208096,   1.0667682113591888,  0.0592814605236053,
+  -0.0956484054836690,  -0.8323494636500225,  0.2944108163926404,
+  -1.3361818579378040,   0.7143245518189522,  1.6235620644462707,
+  -0.6917757017022868,   0.8579966728282626,  1.2540014216025324,
+  -1.5937295764474768,  -1.4409644319010200,  0.5711476236581780,
+  -0.3998855777153632,   0.6899973754643451
+};
+
+/* ----------------------------------------------------------------------
+** Test input data of srcB for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcB_buf_f32[MAX_BLOCKSIZE] =
+{
+   1.7491401329284098,  0.1325982188803279,   0.3252281811989881,
+  -0.7938091410349637,  0.3149236145048914,  -0.5272704888029532,
+   0.9322666565031119,  1.1646643544607362,  -2.0456694357357357,
+  -0.6443728590041911,  1.7410657940825480,   0.4867684246821860,
+   1.0488288293660140,  1.4885752747099299,   1.2705014969484090,
+  -1.8561241921210170,  2.1343209047321410,  1.4358467535865909,
+  -0.9173023332875400, -1.1060770780029008,   0.8105708062681296,
+   0.6985430696369063, -0.4015827425012831,   1.2687512030669628,
+  -0.7836083053674872,  0.2132664971465569,   0.7878984786088954,
+   0.8966819356782295, -0.1869172943544062,   1.0131816724341454,
+   0.2484350696132857,  0.0596083377937976
+};
+
+/* Reference dot product output */
+float32_t  refDotProdOut = 5.9273644806352142;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+float32_t multOutput[MAX_BLOCKSIZE];  /* Intermediate output */
+float32_t testOutput;  /* Final ouput */
+
+arm_status status;   /* Status of the example */
+
+int32_t main(void)
+{
+  uint32_t i;       /* Loop counter */
+  float32_t diff;     /* Difference between reference and test outputs */
+
+  /* Multiplication of two input buffers */
+  arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE);
+
+  /* Accumulate the multiplication output values to
+     get the dot product of the two inputs */
+  for(i=0; i< MAX_BLOCKSIZE; i++)
+  {
+    arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1);
+  }
+
+  /* absolute value of difference between ref and test */
+  diff = fabsf(refDotProdOut - testOutput);
+
+  /* Comparison of dot product value with reference */
+  if(diff > DELTA)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  if( status == ARM_MATH_TEST_FAILURE)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt
new file mode 100644
index 0000000..0c0fd5d
--- /dev/null
+++ b/DSP_Lib/Examples/arm_dotproduct_example/GCC/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_dotproduct_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c b/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c
new file mode 100644
index 0000000..4bfe357
--- /dev/null
+++ b/DSP_Lib/Examples/arm_dotproduct_example/GCC/arm_dotproduct_example_f32.c
@@ -0,0 +1,178 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_dotproduct_example_f32.c
+*
+* Description:   Example code computing dot product of two vectors.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup DotproductExample Dot Product Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of the Multiply and Add functions to perform the dot product.
+ * The dot product of two vectors is obtained by multiplying corresponding elements
+ * and summing the products.
+
+ * \par Algorithm:
+ * \par
+ * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element
+ * and then added to obtain dot product.
+ * \par
+ * This is denoted by the following equation:
+ *         <pre>  dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html dotProduct.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c srcA_buf_f32 points to first input vector
+ * \li \c srcB_buf_f32 points to second input vector
+ * \li \c testOutput   stores dot product of the two input vectors.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_dotproduct_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_dotproduct_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE     32
+#define DELTA           (0.000001f)
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Dot Product example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+/* ----------------------------------------------------------------------
+** Test input data of srcA for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcA_buf_f32[MAX_BLOCKSIZE] =
+{
+  -0.4325648115282207,  -1.6655843782380970,  0.1253323064748307,
+   0.2876764203585489,  -1.1464713506814637,  1.1909154656429988,
+   1.1891642016521031,  -0.0376332765933176,  0.3272923614086541,
+   0.1746391428209245,  -0.1867085776814394,  0.7257905482933027,
+  -0.5883165430141887,   2.1831858181971011, -0.1363958830865957,
+   0.1139313135208096,   1.0667682113591888,  0.0592814605236053,
+  -0.0956484054836690,  -0.8323494636500225,  0.2944108163926404,
+  -1.3361818579378040,   0.7143245518189522,  1.6235620644462707,
+  -0.6917757017022868,   0.8579966728282626,  1.2540014216025324,
+  -1.5937295764474768,  -1.4409644319010200,  0.5711476236581780,
+  -0.3998855777153632,   0.6899973754643451
+};
+
+/* ----------------------------------------------------------------------
+** Test input data of srcB for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcB_buf_f32[MAX_BLOCKSIZE] =
+{
+   1.7491401329284098,  0.1325982188803279,   0.3252281811989881,
+  -0.7938091410349637,  0.3149236145048914,  -0.5272704888029532,
+   0.9322666565031119,  1.1646643544607362,  -2.0456694357357357,
+  -0.6443728590041911,  1.7410657940825480,   0.4867684246821860,
+   1.0488288293660140,  1.4885752747099299,   1.2705014969484090,
+  -1.8561241921210170,  2.1343209047321410,  1.4358467535865909,
+  -0.9173023332875400, -1.1060770780029008,   0.8105708062681296,
+   0.6985430696369063, -0.4015827425012831,   1.2687512030669628,
+  -0.7836083053674872,  0.2132664971465569,   0.7878984786088954,
+   0.8966819356782295, -0.1869172943544062,   1.0131816724341454,
+   0.2484350696132857,  0.0596083377937976
+};
+
+/* Reference dot product output */
+float32_t  refDotProdOut = 5.9273644806352142;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+float32_t multOutput[MAX_BLOCKSIZE];  /* Intermediate output */
+float32_t testOutput;  /* Final ouput */
+
+arm_status status;   /* Status of the example */
+
+int32_t main(void)
+{
+  uint32_t i;       /* Loop counter */
+  float32_t diff;     /* Difference between reference and test outputs */
+
+  /* Multiplication of two input buffers */
+  arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE);
+
+  /* Accumulate the multiplication output values to
+     get the dot product of the two inputs */
+  for(i=0; i< MAX_BLOCKSIZE; i++)
+  {
+    arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1);
+  }
+
+  /* absolute value of difference between ref and test */
+  diff = fabsf(refDotProdOut - testOutput);
+
+  /* Comparison of dot product value with reference */
+  if(diff > DELTA)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  if( status == ARM_MATH_TEST_FAILURE)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt
new file mode 100644
index 0000000..f6a7fba
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_fft_bin_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c
new file mode 100644
index 0000000..b5159e5
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_data.c
@@ -0,0 +1,308 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_fft_bin_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+Test Input signal contains 10KHz signal + Uniformly distributed white noise
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_10khz[2048] = 
+{   
+-0.865129623056441, 	0.000000000000000, 	-2.655020678073846, 	0.000000000000000, 	0.600664612949661, 	0.000000000000000, 	0.080378093886515, 	0.000000000000000, 	
+-2.899160484012034, 	0.000000000000000, 	2.563004262857762, 	0.000000000000000, 	3.078328403304206, 	0.000000000000000, 	0.105906778385130, 	0.000000000000000, 	
+0.048366940168201, 	0.000000000000000, 	-0.145696461188734, 	0.000000000000000, 	-0.023417155362879, 	0.000000000000000, 	2.127729174988954, 	0.000000000000000, 	
+-1.176633086028377, 	0.000000000000000, 	3.690223557991855, 	0.000000000000000, 	-0.622791766173194, 	0.000000000000000, 	0.722837373872203, 	0.000000000000000, 	
+2.739754205367484, 	0.000000000000000, 	-0.062610410524552, 	0.000000000000000, 	-0.891296810967338, 	0.000000000000000, 	-1.845872258871811, 	0.000000000000000, 	
+1.195039415434387, 	0.000000000000000, 	-2.177388969045026, 	0.000000000000000, 	1.078649103637905, 	0.000000000000000, 	2.570976050490193, 	0.000000000000000, 	
+-1.383551403404574, 	0.000000000000000, 	2.392141424058873, 	0.000000000000000, 	2.858002843205065, 	0.000000000000000, 	-3.682433899725536, 	0.000000000000000, 	
+-3.488146646451150, 	0.000000000000000, 	1.323468578888120, 	0.000000000000000, 	-0.099771155430726, 	0.000000000000000, 	1.561168082500454, 	0.000000000000000, 	
+1.025026795103179, 	0.000000000000000, 	0.928841900171200, 	0.000000000000000, 	2.930499509864950, 	0.000000000000000, 	2.013349089766430, 	0.000000000000000, 	
+2.381676148486737, 	0.000000000000000, 	-3.081062307950236, 	0.000000000000000, 	-0.389579115537544, 	0.000000000000000, 	0.181540149166620, 	0.000000000000000, 	
+-2.601953341353208, 	0.000000000000000, 	0.333435137783218, 	0.000000000000000, 	-2.812945856162965, 	0.000000000000000, 	2.649109640172910, 	0.000000000000000, 	
+-1.003963025744654, 	0.000000000000000, 	1.552460768755035, 	0.000000000000000, 	0.088641345335247, 	0.000000000000000, 	-2.519951327113426, 	0.000000000000000, 	
+-4.341348988610527, 	0.000000000000000, 	0.557772429359965, 	0.000000000000000, 	-1.671267412948494, 	0.000000000000000, 	0.733951350960387, 	0.000000000000000, 	
+0.409263788034864, 	0.000000000000000, 	3.566033071952806, 	0.000000000000000, 	1.882565173848352, 	0.000000000000000, 	-1.106017073793287, 	0.000000000000000, 	
+0.154456720778718, 	0.000000000000000, 	-2.513205795512153, 	0.000000000000000, 	0.310978660939421, 	0.000000000000000, 	0.579706500111723, 	0.000000000000000, 	
+0.000086383683251, 	0.000000000000000, 	-1.311866980897721, 	0.000000000000000, 	1.840007477574986, 	0.000000000000000, 	-3.253005768451345, 	0.000000000000000, 	
+1.462584328739432, 	0.000000000000000, 	1.610103610851738, 	0.000000000000000, 	0.761914676858907, 	0.000000000000000, 	0.974541361089834, 	0.000000000000000, 	
+0.686845845885983, 	0.000000000000000, 	1.849153122025191, 	0.000000000000000, 	0.787800410401453, 	0.000000000000000, 	-1.187438909666279, 	0.000000000000000, 	
+-0.754937911044720, 	0.000000000000000, 	0.084373858395232, 	0.000000000000000, 	-2.600269011710521, 	0.000000000000000, 	-0.962982842142644, 	0.000000000000000, 	
+-0.369328108540868, 	0.000000000000000, 	0.810791418361879, 	0.000000000000000, 	3.587016488699641, 	0.000000000000000, 	-0.520776145083723, 	0.000000000000000, 	
+0.640249919627884, 	0.000000000000000, 	1.103122489464969, 	0.000000000000000, 	2.231779881455556, 	0.000000000000000, 	-1.308035392685241, 	0.000000000000000, 	
+0.424070304330106, 	0.000000000000000, 	-0.200383932651189, 	0.000000000000000, 	-2.365526783356541, 	0.000000000000000, 	-0.989114757436628, 	0.000000000000000, 	
+2.770807688959777, 	0.000000000000000, 	-0.444172737462307, 	0.000000000000000, 	0.079760979374078, 	0.000000000000000, 	-0.005199118412183, 	0.000000000000000, 	
+-0.664712668309527, 	0.000000000000000, 	-0.624171857561896, 	0.000000000000000, 	0.537306979007338, 	0.000000000000000, 	-2.575955675497642, 	0.000000000000000, 	
+1.562363235756780, 	0.000000000000000, 	1.814069369848895, 	0.000000000000000, 	-1.293428583392509, 	0.000000000000000, 	-1.026188449495686, 	0.000000000000000, 	
+-2.981771815588717, 	0.000000000000000, 	-4.223468103075124, 	0.000000000000000, 	2.672674782004045, 	0.000000000000000, 	-0.856096801117735, 	0.000000000000000, 	
+0.048517345512563, 	0.000000000000000, 	-0.026860721136222, 	0.000000000000000, 	0.392932277758187, 	0.000000000000000, 	-1.331740855093099, 	0.000000000000000, 	
+-1.894292129477081, 	0.000000000000000, 	-1.425006468460681, 	0.000000000000000, 	-2.721772427617057, 	0.000000000000000, 	-1.616831100216806, 	0.000000000000000, 	
+3.551177651488947, 	0.000000000000000, 	-0.069685667896087, 	0.000000000000000, 	-3.134634907409102, 	0.000000000000000, 	-0.263627598944639, 	0.000000000000000, 	
+-1.650469945991350, 	0.000000000000000, 	-2.203580339374399, 	0.000000000000000, 	-0.872203246123242, 	0.000000000000000, 	1.230782812607287, 	0.000000000000000, 	
+0.257288860093291, 	0.000000000000000, 	1.989083106173137, 	0.000000000000000, 	-1.985638729453261, 	0.000000000000000, 	-1.416185105842892, 	0.000000000000000, 	
+-1.131097688325772, 	0.000000000000000, 	-2.245130805416057, 	0.000000000000000, 	-1.938873996219074, 	0.000000000000000, 	2.043608361562645, 	0.000000000000000, 	
+-0.583727989880841, 	0.000000000000000, 	-1.785266378212929, 	0.000000000000000, 	1.961457586224753, 	0.000000000000000, 	1.139400099963223, 	0.000000000000000, 	
+-1.979519343363991, 	0.000000000000000, 	2.003023322818429, 	0.000000000000000, 	0.229004069076829, 	0.000000000000000, 	3.452808862193135, 	0.000000000000000, 	
+2.882273808365857, 	0.000000000000000, 	-1.549450501844438, 	0.000000000000000, 	-3.283872089931876, 	0.000000000000000, 	-0.327025884099064, 	0.000000000000000, 	
+-0.054979977136430, 	0.000000000000000, 	-1.192280531479012, 	0.000000000000000, 	0.645539328365578, 	0.000000000000000, 	2.300832863404618, 	0.000000000000000, 	
+-1.092951789535240, 	0.000000000000000, 	-1.017368249363773, 	0.000000000000000, 	-0.142673056169787, 	0.000000000000000, 	0.831073544881250, 	0.000000000000000, 	
+-2.314612531587064, 	0.000000000000000, 	-2.221456299106321, 	0.000000000000000, 	0.460261143885226, 	0.000000000000000, 	0.050585301888595, 	0.000000000000000, 	
+0.364373329183988, 	0.000000000000000, 	-1.685956552069538, 	0.000000000000000, 	0.050664512351055, 	0.000000000000000, 	-0.193355783902718, 	0.000000000000000, 	
+-0.158660446046828, 	0.000000000000000, 	2.394156453841953, 	0.000000000000000, 	-1.562965718554525, 	0.000000000000000, 	-2.199750600869900, 	0.000000000000000, 	
+1.544984022381773, 	0.000000000000000, 	-1.988307216807315, 	0.000000000000000, 	-0.628240722541046, 	0.000000000000000, 	-1.436235771505429, 	0.000000000000000, 	
+1.677013691147313, 	0.000000000000000, 	1.600741781678228, 	0.000000000000000, 	-0.757380959134706, 	0.000000000000000, 	-4.784797439515566, 	0.000000000000000, 	
+0.265121462834569, 	0.000000000000000, 	3.862029485934378, 	0.000000000000000, 	2.386823577249430, 	0.000000000000000, 	-3.655779745436893, 	0.000000000000000, 	
+-0.763541621368016, 	0.000000000000000, 	-1.182140388432962, 	0.000000000000000, 	-1.349106114858063, 	0.000000000000000, 	-2.287533624396759, 	0.000000000000000, 	
+-0.028603745188423, 	0.000000000000000, 	-1.353580755934427, 	0.000000000000000, 	0.461602380352937, 	0.000000000000000, 	-0.059599055078928, 	0.000000000000000, 	
+-0.929946734342228, 	0.000000000000000, 	0.065773089295561, 	0.000000000000000, 	1.106565863102982, 	0.000000000000000, 	4.719295086373593, 	0.000000000000000, 	
+-2.108377703544395, 	0.000000000000000, 	-2.226393620240159, 	0.000000000000000, 	1.375668397437521, 	0.000000000000000, 	-0.960772428525443, 	0.000000000000000, 	
+-2.156313465390571, 	0.000000000000000, 	1.126060012375311, 	0.000000000000000, 	2.756485137030720, 	0.000000000000000, 	0.739639690862600, 	0.000000000000000, 	
+3.914769510295006, 	0.000000000000000, 	1.685232785586675, 	0.000000000000000, 	4.079058040970612, 	0.000000000000000, 	-1.174598301660513, 	0.000000000000000, 	
+-2.885776587275580, 	0.000000000000000, 	-0.241073635188767, 	0.000000000000000, 	3.080489872502403, 	0.000000000000000, 	-2.051244183999421, 	0.000000000000000, 	
+0.664330486845139, 	0.000000000000000, 	-1.697798999370016, 	0.000000000000000, 	1.452369423649782, 	0.000000000000000, 	-1.523532831019280, 	0.000000000000000, 	
+0.171981186587481, 	0.000000000000000, 	-4.685274721583927, 	0.000000000000000, 	-1.336175835319380, 	0.000000000000000, 	1.419070770428945, 	0.000000000000000, 	
+-0.035791601713475, 	0.000000000000000, 	2.291937971632081, 	0.000000000000000, 	-1.962559313450293, 	0.000000000000000, 	-4.831595589339301, 	0.000000000000000, 	
+-1.857055284000925, 	0.000000000000000, 	2.606271522635512, 	0.000000000000000, 	-0.576447978738030, 	0.000000000000000, 	0.082299166967720, 	0.000000000000000, 	
+1.888399453494614, 	0.000000000000000, 	-3.564705298046079, 	0.000000000000000, 	-0.939357831083889, 	0.000000000000000, 	-1.903578203697778, 	0.000000000000000, 	
+-2.642492215447250, 	0.000000000000000, 	-0.182990405251017, 	0.000000000000000, 	3.742026478011174, 	0.000000000000000, 	0.104295803798333, 	0.000000000000000, 	
+1.848678195370347, 	0.000000000000000, 	-1.887384346896369, 	0.000000000000000, 	0.365048973046045, 	0.000000000000000, 	-0.889638010354219, 	0.000000000000000, 	
+1.173877118428863, 	0.000000000000000, 	-1.178562827540109, 	0.000000000000000, 	0.610271645685184, 	0.000000000000000, 	1.831284815697871, 	0.000000000000000, 	
+0.449575390102283, 	0.000000000000000, 	1.597171905253443, 	0.000000000000000, 	3.918574971904773, 	0.000000000000000, 	0.868104027970404, 	0.000000000000000, 	
+0.582643134746494, 	0.000000000000000, 	2.321256382353331, 	0.000000000000000, 	-0.238118642223180, 	0.000000000000000, 	-2.890287868054370, 	0.000000000000000, 	
+0.970995414625622, 	0.000000000000000, 	0.666137930891283, 	0.000000000000000, 	-0.202435718709502, 	0.000000000000000, 	2.057930200518194, 	0.000000000000000, 	
+3.120583443719949, 	0.000000000000000, 	-0.863945271701041, 	0.000000000000000, 	0.906848893874630, 	0.000000000000000, 	-1.434124930222570, 	0.000000000000000, 	
+0.754659384848783, 	0.000000000000000, 	-5.224154442713778, 	0.000000000000000, 	2.330229744098967, 	0.000000000000000, 	1.113946320164698, 	0.000000000000000, 	
+0.523324920322840, 	0.000000000000000, 	1.750740911548348, 	0.000000000000000, 	-0.899333972913577, 	0.000000000000000, 	0.228705845203506, 	0.000000000000000, 	
+-1.934782624767648, 	0.000000000000000, 	-3.508386237231303, 	0.000000000000000, 	-2.107108523073510, 	0.000000000000000, 	0.380587645474815, 	0.000000000000000, 	
+-0.476200877183279, 	0.000000000000000, 	-2.172086712642198, 	0.000000000000000, 	1.795372535780299, 	0.000000000000000, 	-2.100318983391055, 	0.000000000000000, 	
+-0.022571122461405, 	0.000000000000000, 	0.674514020010955, 	0.000000000000000, 	-0.148872569390857, 	0.000000000000000, 	0.298175890592737, 	0.000000000000000, 	
+-1.134244492493590, 	0.000000000000000, 	-3.146848422289455, 	0.000000000000000, 	-1.357950199087602, 	0.000000000000000, 	0.667362732020878, 	0.000000000000000, 	
+-3.119397998316724, 	0.000000000000000, 	-1.189341126297637, 	0.000000000000000, 	-1.532744386856668, 	0.000000000000000, 	-1.672972484202534, 	0.000000000000000, 	
+-2.042283373871558, 	0.000000000000000, 	-1.479481547595924, 	0.000000000000000, 	-0.002668662875396, 	0.000000000000000, 	0.262737760129546, 	0.000000000000000, 	
+2.734456080621830, 	0.000000000000000, 	-0.671945925075102, 	0.000000000000000, 	-3.735078262179111, 	0.000000000000000, 	-0.161705013319883, 	0.000000000000000, 	
+0.748963512361001, 	0.000000000000000, 	1.128046374367600, 	0.000000000000000, 	0.649651335592966, 	0.000000000000000, 	1.880020215025867, 	0.000000000000000, 	
+-1.095632293842306, 	0.000000000000000, 	1.197764876160487, 	0.000000000000000, 	0.323646656252985, 	0.000000000000000, 	-1.655502751114502, 	0.000000000000000, 	
+3.666399062961496, 	0.000000000000000, 	-0.334060899735197, 	0.000000000000000, 	-2.119056978738397, 	0.000000000000000, 	3.721375117275012, 	0.000000000000000, 	
+0.044874186872307, 	0.000000000000000, 	-2.733053897593234, 	0.000000000000000, 	1.590700278891042, 	0.000000000000000, 	3.215711772781902, 	0.000000000000000, 	
+-1.792085012843801, 	0.000000000000000, 	-0.405797188885475, 	0.000000000000000, 	-0.628080020080892, 	0.000000000000000, 	-1.831815840843960, 	0.000000000000000, 	
+2.973656862522834, 	0.000000000000000, 	-0.212032655138417, 	0.000000000000000, 	0.372437389437234, 	0.000000000000000, 	-1.614030579023492, 	0.000000000000000, 	
+-0.704900996358698, 	0.000000000000000, 	1.123700273452105, 	0.000000000000000, 	-0.136371848130819, 	0.000000000000000, 	3.020284357635585, 	0.000000000000000, 	
+-0.550211350877649, 	0.000000000000000, 	5.101256236381711, 	0.000000000000000, 	3.367051512192333, 	0.000000000000000, 	-4.385131946669234, 	0.000000000000000, 	
+-3.967303337694391, 	0.000000000000000, 	-0.965894936640022, 	0.000000000000000, 	0.328366945264681, 	0.000000000000000, 	0.199041562924914, 	0.000000000000000, 	
+1.067681999025495, 	0.000000000000000, 	-1.939516091697170, 	0.000000000000000, 	-1.092980954328824, 	0.000000000000000, 	0.273786079368066, 	0.000000000000000, 	
+-0.040928322190265, 	0.000000000000000, 	-0.118368078577437, 	0.000000000000000, 	1.766589628899997, 	0.000000000000000, 	1.738321311635393, 	0.000000000000000, 	
+-2.895012794321649, 	0.000000000000000, 	1.213521771395142, 	0.000000000000000, 	0.922971726633985, 	0.000000000000000, 	1.091516563636489, 	0.000000000000000, 	
+3.226378465469620, 	0.000000000000000, 	1.149169778666974, 	0.000000000000000, 	-1.695986327709386, 	0.000000000000000, 	-0.974803077355813, 	0.000000000000000, 	
+-4.898035507513607, 	0.000000000000000, 	1.622719302889447, 	0.000000000000000, 	0.583891313586579, 	0.000000000000000, 	-1.677182424094957, 	0.000000000000000, 	
+-1.915633132814685, 	0.000000000000000, 	-1.980150370851616, 	0.000000000000000, 	0.604538269404190, 	0.000000000000000, 	0.939862406149365, 	0.000000000000000, 	
+-1.266939874246416, 	0.000000000000000, 	-1.494771249200063, 	0.000000000000000, 	0.278042784093988, 	0.000000000000000, 	0.326627416008916, 	0.000000000000000, 	
+-1.914530157643303, 	0.000000000000000, 	1.908947721862196, 	0.000000000000000, 	0.531819285694044, 	0.000000000000000, 	3.056856632319658, 	0.000000000000000, 	
+-0.389241827774643, 	0.000000000000000, 	-2.418606606780420, 	0.000000000000000, 	0.915299238878703, 	0.000000000000000, 	-0.098774174295283, 	0.000000000000000, 	
+-0.906199428444304, 	0.000000000000000, 	0.316716451217743, 	0.000000000000000, 	-4.367700643578311, 	0.000000000000000, 	1.491687997515293, 	0.000000000000000, 	
+-1.962381126288365, 	0.000000000000000, 	-0.700829196527045, 	0.000000000000000, 	3.028958963615630, 	0.000000000000000, 	-2.313461067462598, 	0.000000000000000, 	
+-1.431933239886712, 	0.000000000000000, 	-0.831153039725342, 	0.000000000000000, 	3.939495598250743, 	0.000000000000000, 	0.342974753984771, 	0.000000000000000, 	
+-2.768330763002974, 	0.000000000000000, 	-2.744010370019008, 	0.000000000000000, 	3.821352685212561, 	0.000000000000000, 	4.551065271455856, 	0.000000000000000, 	
+3.270136437041298, 	0.000000000000000, 	-3.188028411950982, 	0.000000000000000, 	-0.777075012417436, 	0.000000000000000, 	0.097110650265216, 	0.000000000000000, 	
+1.221216137608812, 	0.000000000000000, 	-1.325824244541822, 	0.000000000000000, 	-2.655296734084113, 	0.000000000000000, 	-1.074792144885704, 	0.000000000000000, 	
+2.770401584439407, 	0.000000000000000, 	5.240270645610543, 	0.000000000000000, 	0.108576672208892, 	0.000000000000000, 	-1.209394350650142, 	0.000000000000000, 	
+1.403344353838785, 	0.000000000000000, 	-0.299032904177277, 	0.000000000000000, 	4.074959450638227, 	0.000000000000000, 	1.718727473952107, 	0.000000000000000, 	
+-3.061349227080806, 	0.000000000000000, 	-1.158596888541269, 	0.000000000000000, 	3.381858904662625, 	0.000000000000000, 	0.957339964054052, 	0.000000000000000, 	
+0.179900074904899, 	0.000000000000000, 	-3.909641902506081, 	0.000000000000000, 	0.805717289408649, 	0.000000000000000, 	2.047413793928261, 	0.000000000000000, 	
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+-2.097831202853255, 	0.000000000000000, 	2.711952282071310, 	0.000000000000000, 	1.498539238246888, 	0.000000000000000, 	1.317457282535915, 	0.000000000000000, 	
+-0.302765938349717, 	0.000000000000000, 	-0.044623707947201, 	0.000000000000000, 	2.337405215062395, 	0.000000000000000, 	-3.980689173859100, 	0.000000000000000, 	
+
+
+};
+
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c
new file mode 100644
index 0000000..6214211
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/ARM/arm_fft_bin_example_f32.c
@@ -0,0 +1,158 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:	     arm_fft_bin_example_f32.c
+*
+* Description:   Example code demonstrating calculation of Max energy bin of
+*                frequency domain of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FrequencyBin Frequency Bin Example
+ *
+ * \par Description
+ * \par
+ * Demonstrates the calculation of the maximum energy bin in the frequency
+ * domain of the input signal with the use of Complex FFT, Complex
+ * Magnitude, and Maximum functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The input test signal contains a 10 kHz signal with uniformly distributed white noise.
+ * Calculating the FFT of the input signal will give us the maximum energy of the
+ * bin corresponding to the input frequency of 10 kHz.
+ *
+ * \par Block Diagram:
+ * \image html FFTBin.gif "Block Diagram"
+ * \par
+ * The figure below shows the time domain signal of 10 kHz signal with
+ * uniformly distributed white noise, and the next figure shows the input
+ * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal.
+ * \par
+ * \image html FFTBinInput.gif "Input signal in Time domain"
+ * \image html FFTBinOutput.gif "Input signal in Frequency domain"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_10khz points to the input data
+ * \li \c testOutput points to the output data
+ * \li \c fftSize length of FFT
+ * \li \c ifftFlag flag for the selection of CFFT/CIFFT
+ * \li \c doBitReverse Flag for selection of normal order or bit reversed order
+ * \li \c refIndex reference index value at which maximum energy of bin ocuurs
+ * \li \c testIndex calculated index value at which maximum energy of bin ocuurs
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cfft_f32()
+ * - arm_cmplx_mag_f32()
+ * - arm_max_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_fft_bin_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fft_bin_example_f32.c
+  */
+
+
+#include "arm_math.h"
+#include "arm_const_structs.h"
+
+#define TEST_LENGTH_SAMPLES 2048
+
+/* -------------------------------------------------------------------
+* External Input and Output buffer Declarations for FFT Bin Example
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES];
+static float32_t testOutput[TEST_LENGTH_SAMPLES/2];
+
+/* ------------------------------------------------------------------
+* Global variables for FFT Bin Example
+* ------------------------------------------------------------------- */
+uint32_t fftSize = 1024;
+uint32_t ifftFlag = 0;
+uint32_t doBitReverse = 1;
+
+/* Reference index at which max energy of bin ocuurs */
+uint32_t refIndex = 213, testIndex = 0;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+  arm_status status;
+  float32_t maxValue;
+
+  status = ARM_MATH_SUCCESS;
+
+  /* Process the data through the CFFT/CIFFT module */
+  arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse);
+
+  /* Process the data through the Complex Magnitude Module for
+  calculating the magnitude at each bin */
+  arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize);
+
+  /* Calculates maxValue and returns corresponding BIN value */
+  arm_max_f32(testOutput, fftSize, &maxValue, &testIndex);
+
+  if(testIndex !=  refIndex)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt b/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt
new file mode 100644
index 0000000..f6a7fba
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_fft_bin_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c
new file mode 100644
index 0000000..b5159e5
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_data.c
@@ -0,0 +1,308 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_fft_bin_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+Test Input signal contains 10KHz signal + Uniformly distributed white noise
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_10khz[2048] = 
+{   
+-0.865129623056441, 	0.000000000000000, 	-2.655020678073846, 	0.000000000000000, 	0.600664612949661, 	0.000000000000000, 	0.080378093886515, 	0.000000000000000, 	
+-2.899160484012034, 	0.000000000000000, 	2.563004262857762, 	0.000000000000000, 	3.078328403304206, 	0.000000000000000, 	0.105906778385130, 	0.000000000000000, 	
+0.048366940168201, 	0.000000000000000, 	-0.145696461188734, 	0.000000000000000, 	-0.023417155362879, 	0.000000000000000, 	2.127729174988954, 	0.000000000000000, 	
+-1.176633086028377, 	0.000000000000000, 	3.690223557991855, 	0.000000000000000, 	-0.622791766173194, 	0.000000000000000, 	0.722837373872203, 	0.000000000000000, 	
+2.739754205367484, 	0.000000000000000, 	-0.062610410524552, 	0.000000000000000, 	-0.891296810967338, 	0.000000000000000, 	-1.845872258871811, 	0.000000000000000, 	
+1.195039415434387, 	0.000000000000000, 	-2.177388969045026, 	0.000000000000000, 	1.078649103637905, 	0.000000000000000, 	2.570976050490193, 	0.000000000000000, 	
+-1.383551403404574, 	0.000000000000000, 	2.392141424058873, 	0.000000000000000, 	2.858002843205065, 	0.000000000000000, 	-3.682433899725536, 	0.000000000000000, 	
+-3.488146646451150, 	0.000000000000000, 	1.323468578888120, 	0.000000000000000, 	-0.099771155430726, 	0.000000000000000, 	1.561168082500454, 	0.000000000000000, 	
+1.025026795103179, 	0.000000000000000, 	0.928841900171200, 	0.000000000000000, 	2.930499509864950, 	0.000000000000000, 	2.013349089766430, 	0.000000000000000, 	
+2.381676148486737, 	0.000000000000000, 	-3.081062307950236, 	0.000000000000000, 	-0.389579115537544, 	0.000000000000000, 	0.181540149166620, 	0.000000000000000, 	
+-2.601953341353208, 	0.000000000000000, 	0.333435137783218, 	0.000000000000000, 	-2.812945856162965, 	0.000000000000000, 	2.649109640172910, 	0.000000000000000, 	
+-1.003963025744654, 	0.000000000000000, 	1.552460768755035, 	0.000000000000000, 	0.088641345335247, 	0.000000000000000, 	-2.519951327113426, 	0.000000000000000, 	
+-4.341348988610527, 	0.000000000000000, 	0.557772429359965, 	0.000000000000000, 	-1.671267412948494, 	0.000000000000000, 	0.733951350960387, 	0.000000000000000, 	
+0.409263788034864, 	0.000000000000000, 	3.566033071952806, 	0.000000000000000, 	1.882565173848352, 	0.000000000000000, 	-1.106017073793287, 	0.000000000000000, 	
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+-0.364431989095434, 	0.000000000000000, 	-0.263182496622273, 	0.000000000000000, 	1.843464680631139, 	0.000000000000000, 	-0.419107530229249, 	0.000000000000000, 	
+1.662335873298487, 	0.000000000000000, 	-0.853687563304005, 	0.000000000000000, 	-2.584133404357169, 	0.000000000000000, 	3.466839568922895, 	0.000000000000000, 	
+0.881671345091973, 	0.000000000000000, 	0.454620014206908, 	0.000000000000000, 	-1.737245187402739, 	0.000000000000000, 	2.162713238369243, 	0.000000000000000, 	
+-3.868539002714486, 	0.000000000000000, 	2.014114855933826, 	0.000000000000000, 	-0.703233831811006, 	0.000000000000000, 	-3.410319935997574, 	0.000000000000000, 	
+-1.851235811006584, 	0.000000000000000, 	0.909783907894036, 	0.000000000000000, 	0.091884002136728, 	0.000000000000000, 	-2.688294201131650, 	0.000000000000000, 	
+-0.906134178460955, 	0.000000000000000, 	3.475054609035133, 	0.000000000000000, 	-0.573927964170323, 	0.000000000000000, 	-0.429542937515399, 	0.000000000000000, 	
+0.991348618739939, 	0.000000000000000, 	1.974804904926325, 	0.000000000000000, 	0.975783450796698, 	0.000000000000000, 	-3.057119549071503, 	0.000000000000000, 	
+-3.899429237481194, 	0.000000000000000, 	0.362439009175350, 	0.000000000000000, 	-1.124461670265618, 	0.000000000000000, 	1.806000360163583, 	0.000000000000000, 	
+-2.768333362600288, 	0.000000000000000, 	0.244387897900379, 	0.000000000000000, 	0.908767296720926, 	0.000000000000000, 	1.254669374391882, 	0.000000000000000, 	
+-1.420441929463686, 	0.000000000000000, 	-0.875658895966293, 	0.000000000000000, 	0.183824603376167, 	0.000000000000000, 	-3.361653917011686, 	0.000000000000000, 	
+-0.796615630227952, 	0.000000000000000, 	-1.660226542658673, 	0.000000000000000, 	1.654439358307226, 	0.000000000000000, 	2.782812946709771, 	0.000000000000000, 	
+1.418064412811531, 	0.000000000000000, 	-0.819645647243761, 	0.000000000000000, 	0.807724772592699, 	0.000000000000000, 	-0.941967976379298, 	0.000000000000000, 	
+-2.312768306047469, 	0.000000000000000, 	0.872426936477443, 	0.000000000000000, 	0.919528961530845, 	0.000000000000000, 	-2.084904575264847, 	0.000000000000000, 	
+-1.972464868459322, 	0.000000000000000, 	-1.050687203338466, 	0.000000000000000, 	1.659579707007902, 	0.000000000000000, 	-1.820640014705855, 	0.000000000000000, 	
+-1.195078061671045, 	0.000000000000000, 	-1.639773173762048, 	0.000000000000000, 	1.616744338157063, 	0.000000000000000, 	4.019216096811563, 	0.000000000000000, 	
+3.461021102549681, 	0.000000000000000, 	1.642352734361484, 	0.000000000000000, 	-0.046354693720813, 	0.000000000000000, 	-0.041936252359677, 	0.000000000000000, 	
+-2.393307519480551, 	0.000000000000000, 	-0.341471634615121, 	0.000000000000000, 	-0.392073595257017, 	0.000000000000000, 	-0.219299018372730, 	0.000000000000000, 	
+-2.016391579662071, 	0.000000000000000, 	-0.653096251969787, 	0.000000000000000, 	1.466353155666821, 	0.000000000000000, 	-2.872058864320412, 	0.000000000000000, 	
+-2.157180779503830, 	0.000000000000000, 	0.723257479841560, 	0.000000000000000, 	3.769951308104384, 	0.000000000000000, 	-1.923392042420024, 	0.000000000000000, 	
+0.644899359942840, 	0.000000000000000, 	-2.090226891621437, 	0.000000000000000, 	-0.277043982890403, 	0.000000000000000, 	-0.528271428321112, 	0.000000000000000, 	
+2.518120645960652, 	0.000000000000000, 	1.040820431111488, 	0.000000000000000, 	-4.560583754742486, 	0.000000000000000, 	-0.226899614918836, 	0.000000000000000, 	
+1.713331231108959, 	0.000000000000000, 	-3.293941019163642, 	0.000000000000000, 	-1.113331444648290, 	0.000000000000000, 	-1.032308423149906, 	0.000000000000000, 	
+1.593774272982443, 	0.000000000000000, 	-1.246840475090529, 	0.000000000000000, 	-0.190344684920137, 	0.000000000000000, 	-1.719386356896355, 	0.000000000000000, 	
+-2.827721754659679, 	0.000000000000000, 	-0.092438285279020, 	0.000000000000000, 	-0.565844430675246, 	0.000000000000000, 	-1.077916121691716, 	0.000000000000000, 	
+-1.208665809504693, 	0.000000000000000, 	-2.996014266381254, 	0.000000000000000, 	2.888573323402423, 	0.000000000000000, 	2.829507048720695, 	0.000000000000000, 	
+-0.859177034120755, 	0.000000000000000, 	-1.969302377743254, 	0.000000000000000, 	0.777437674525362, 	0.000000000000000, 	-0.124910190157646, 	0.000000000000000, 	
+0.129875493115290, 	0.000000000000000, 	-4.192139262163992, 	0.000000000000000, 	3.023496047962126, 	0.000000000000000, 	1.149775163736637, 	0.000000000000000, 	
+2.038151304801731, 	0.000000000000000, 	3.016122489841263, 	0.000000000000000, 	-4.829481812137012, 	0.000000000000000, 	-1.668436615909279, 	0.000000000000000, 	
+0.958586784636918, 	0.000000000000000, 	1.550652410058678, 	0.000000000000000, 	-1.456305257976716, 	0.000000000000000, 	-0.079588392344731, 	0.000000000000000, 	
+-2.453213599392345, 	0.000000000000000, 	0.296795909127105, 	0.000000000000000, 	-0.253426616607643, 	0.000000000000000, 	1.418937160028195, 	0.000000000000000, 	
+-1.672949529066915, 	0.000000000000000, 	-1.620990298572947, 	0.000000000000000, 	-1.085103073196045, 	0.000000000000000, 	0.738606361195386, 	0.000000000000000, 	
+-2.097831202853255, 	0.000000000000000, 	2.711952282071310, 	0.000000000000000, 	1.498539238246888, 	0.000000000000000, 	1.317457282535915, 	0.000000000000000, 	
+-0.302765938349717, 	0.000000000000000, 	-0.044623707947201, 	0.000000000000000, 	2.337405215062395, 	0.000000000000000, 	-3.980689173859100, 	0.000000000000000, 	
+
+
+};
+
diff --git a/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c
new file mode 100644
index 0000000..6214211
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fft_bin_example/GCC/arm_fft_bin_example_f32.c
@@ -0,0 +1,158 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:	     arm_fft_bin_example_f32.c
+*
+* Description:   Example code demonstrating calculation of Max energy bin of
+*                frequency domain of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FrequencyBin Frequency Bin Example
+ *
+ * \par Description
+ * \par
+ * Demonstrates the calculation of the maximum energy bin in the frequency
+ * domain of the input signal with the use of Complex FFT, Complex
+ * Magnitude, and Maximum functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The input test signal contains a 10 kHz signal with uniformly distributed white noise.
+ * Calculating the FFT of the input signal will give us the maximum energy of the
+ * bin corresponding to the input frequency of 10 kHz.
+ *
+ * \par Block Diagram:
+ * \image html FFTBin.gif "Block Diagram"
+ * \par
+ * The figure below shows the time domain signal of 10 kHz signal with
+ * uniformly distributed white noise, and the next figure shows the input
+ * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal.
+ * \par
+ * \image html FFTBinInput.gif "Input signal in Time domain"
+ * \image html FFTBinOutput.gif "Input signal in Frequency domain"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_10khz points to the input data
+ * \li \c testOutput points to the output data
+ * \li \c fftSize length of FFT
+ * \li \c ifftFlag flag for the selection of CFFT/CIFFT
+ * \li \c doBitReverse Flag for selection of normal order or bit reversed order
+ * \li \c refIndex reference index value at which maximum energy of bin ocuurs
+ * \li \c testIndex calculated index value at which maximum energy of bin ocuurs
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cfft_f32()
+ * - arm_cmplx_mag_f32()
+ * - arm_max_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_fft_bin_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fft_bin_example_f32.c
+  */
+
+
+#include "arm_math.h"
+#include "arm_const_structs.h"
+
+#define TEST_LENGTH_SAMPLES 2048
+
+/* -------------------------------------------------------------------
+* External Input and Output buffer Declarations for FFT Bin Example
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES];
+static float32_t testOutput[TEST_LENGTH_SAMPLES/2];
+
+/* ------------------------------------------------------------------
+* Global variables for FFT Bin Example
+* ------------------------------------------------------------------- */
+uint32_t fftSize = 1024;
+uint32_t ifftFlag = 0;
+uint32_t doBitReverse = 1;
+
+/* Reference index at which max energy of bin ocuurs */
+uint32_t refIndex = 213, testIndex = 0;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+  arm_status status;
+  float32_t maxValue;
+
+  status = ARM_MATH_SUCCESS;
+
+  /* Process the data through the CFFT/CIFFT module */
+  arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse);
+
+  /* Process the data through the Complex Magnitude Module for
+  calculating the magnitude at each bin */
+  arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize);
+
+  /* Calculates maxValue and returns corresponding BIN value */
+  arm_max_f32(testOutput, fftSize, &maxValue, &testIndex);
+
+  if(testIndex !=  refIndex)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt
new file mode 100644
index 0000000..1fb1bfb
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fir_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_fir_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c
new file mode 100644
index 0000000..283a25e
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_fir_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input signal contains 1000Hz + 15000 Hz
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_1kHz_15kHz[320] =
+{
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+};
+
+float32_t refOutput[320] = 
+{
++0.0000000000f, -0.0010797829f, -0.0007681386f, -0.0001982932f, +0.0000644313f, +0.0020854271f, +0.0036891871f, +0.0015855941f, 
+-0.0026280805f, -0.0075907658f, -0.0119390538f, -0.0086665968f, +0.0088981202f, +0.0430539279f, +0.0974468742f, +0.1740405600f, 
++0.2681416601f, +0.3747720089f, +0.4893362230f, +0.6024154672f, +0.7058740791f, +0.7968348987f, +0.8715901940f, +0.9277881093f, 
++0.9682182661f, +0.9934674267f, +1.0012052245f, +0.9925859371f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, -0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f 
+};
+
diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c
new file mode 100644
index 0000000..58dfb47
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fir_example/ARM/arm_fir_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+ *
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+ * Title:        arm_fir_example_f32.c
+ *
+ * Description:  Example code demonstrating how an FIR filter can be used
+ *               as a low pass filter.
+ *
+ * Target Processor: Cortex-M4/Cortex-M3
+ *
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FIRLPF FIR Lowpass Filter Example
+ *
+ * \par Description:
+ * \par
+ * Removes high frequency signal components from the input using an FIR lowpass filter.
+ * The example demonstrates how to configure an FIR filter and then pass data through
+ * it in a block-by-block fashion.
+ * \image html FIRLPF_signalflow.gif
+ *
+ * \par Algorithm:
+ * \par
+ * The input signal is a sum of two sine waves:  1 kHz and 15 kHz.
+ * This is processed by an FIR lowpass filter with cutoff frequency 6 kHz.
+ * The lowpass filter eliminates the 15 kHz signal leaving only the 1 kHz sine wave at the output.
+ * \par
+ * The lowpass filter was designed using MATLAB with a sample rate of 48 kHz and
+ * a length of 29 points.
+ * The MATLAB code to generate the filter coefficients is shown below:
+ * <pre>
+ *     h = fir1(28, 6/24);
+ * </pre>
+ * The first argument is the "order" of the filter and is always one less than the desired length.
+ * The second argument is the normalized cutoff frequency.  This is in the range 0 (DC) to 1.0 (Nyquist).
+ * A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25.
+ * The CMSIS FIR filter function requires the coefficients to be in time reversed order.
+ * <pre>
+ *     fliplr(h)
+ * </pre>
+ * The resulting filter coefficients and are shown below.
+ * Note that the filter is symmetric (a property of linear phase FIR filters)
+ * and the point of symmetry is sample 14.  Thus the filter will have a delay of
+ * 14 samples for all frequencies.
+ * \par
+ * \image html FIRLPF_coeffs.gif
+ * \par
+ * The frequency response of the filter is shown next.
+ * The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz.
+ * \par
+ * \image html FIRLPF_response.gif
+ * \par
+ * The input signal is shown below.
+ * The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation.
+ * The two sine wave components can be clearly seen.
+ * \par
+ * \image html FIRLPF_input.gif
+ * \par
+ * The output of the filter is shown below.  The 15 kHz component has been eliminated.
+ * \par
+ * \image html FIRLPF_output.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_1kHz_15kHz points to the input data
+ * \li \c refOutput points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c firStateF32 points to state buffer
+ * \li \c firCoeffs32 points to coefficient buffer
+ * \li \c blockSize number of samples processed at a time
+ * \li \c numBlocks number of frames
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_fir_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fir_example_f32.c
+ */
+
+/* ----------------------------------------------------------------------
+** Include Files
+** ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Macro Defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES  320
+#define SNR_THRESHOLD_F32    140.0f
+#define BLOCK_SIZE            32
+#define NUM_TAPS              29
+
+/* -------------------------------------------------------------------
+ * The input signal and reference output (computed with MATLAB)
+ * are defined externally in arm_fir_lpf_data.c.
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32_1kHz_15kHz[TEST_LENGTH_SAMPLES];
+extern float32_t refOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare Test output buffer
+ * ------------------------------------------------------------------- */
+
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare State buffer of size (numTaps + blockSize - 1)
+ * ------------------------------------------------------------------- */
+
+static float32_t firStateF32[BLOCK_SIZE + NUM_TAPS - 1];
+
+/* ----------------------------------------------------------------------
+** FIR Coefficients buffer generated using fir1() MATLAB function.
+** fir1(28, 6/24)
+** ------------------------------------------------------------------- */
+
+const float32_t firCoeffs32[NUM_TAPS] = {
+  -0.0018225230f, -0.0015879294f, +0.0000000000f, +0.0036977508f, +0.0080754303f, +0.0085302217f, -0.0000000000f, -0.0173976984f,
+  -0.0341458607f, -0.0333591565f, +0.0000000000f, +0.0676308395f, +0.1522061835f, +0.2229246956f, +0.2504960933f, +0.2229246956f,
+  +0.1522061835f, +0.0676308395f, +0.0000000000f, -0.0333591565f, -0.0341458607f, -0.0173976984f, -0.0000000000f, +0.0085302217f,
+  +0.0080754303f, +0.0036977508f, +0.0000000000f, -0.0015879294f, -0.0018225230f
+};
+
+/* ------------------------------------------------------------------
+ * Global variables for FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+uint32_t blockSize = BLOCK_SIZE;
+uint32_t numBlocks = TEST_LENGTH_SAMPLES/BLOCK_SIZE;
+
+float32_t  snr;
+
+/* ----------------------------------------------------------------------
+ * FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  uint32_t i;
+  arm_fir_instance_f32 S;
+  arm_status status;
+  float32_t  *inputF32, *outputF32;
+
+  /* Initialize input and output buffer pointers */
+  inputF32 = &testInput_f32_1kHz_15kHz[0];
+  outputF32 = &testOutput[0];
+
+  /* Call FIR init function to initialize the instance structure. */
+  arm_fir_init_f32(&S, NUM_TAPS, (float32_t *)&firCoeffs32[0], &firStateF32[0], blockSize);
+
+  /* ----------------------------------------------------------------------
+  ** Call the FIR process function for every blockSize samples
+  ** ------------------------------------------------------------------- */
+
+  for(i=0; i < numBlocks; i++)
+  {
+    arm_fir_f32(&S, inputF32 + (i * blockSize), outputF32 + (i * blockSize), blockSize);
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Compare the generated output against the reference output computed
+  ** in MATLAB.
+  ** ------------------------------------------------------------------- */
+
+  snr = arm_snr_f32(&refOutput[0], &testOutput[0], TEST_LENGTH_SAMPLES);
+
+  if (snr < SNR_THRESHOLD_F32)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+  else
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signal does not match the reference output.
+  ** ------------------------------------------------------------------- */
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+/** \endlink */
diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_fir_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt
new file mode 100644
index 0000000..a4ece08
--- /dev/null
+++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_graphic_equalizer_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c
new file mode 100644
index 0000000..ffb0ff3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_graphic_equalizer_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+float32_t testRefOutput_f32[320] = {
+
+0.000000000000000000,	0.001898396760225296,	0.004215449094772339,	0.007432077080011368,	0.010948467999696732,	0.015026375651359558,	0.019191544502973557,	0.023574527353048325,	
+0.027919445186853409,	0.032277785241603851,	0.036551639437675476,	0.040732793509960175,	0.044799156486988068,	0.048710610717535019,	0.052476800978183746,	0.056059073656797409,	
+0.059482168406248093,	0.062726479023694992,	0.065821025520563126,	0.068763464689254761,	0.071577839553356171,	0.074270240962505341,	0.076856281608343124,	0.079344697296619415,	
+0.081745062023401260,	0.084067162126302719,	0.086318407207727432,	0.088509257882833481,	0.090647127479314804,	0.092742368578910828,	0.094802625477313995,	0.096837285906076431,	
+0.098853722214698792,	0.100859899073839190,	0.102862443774938580,	0.104867763817310330,	0.106881409883499150,	0.108908228576183320,	0.110952425748109820,	0.113017357885837550,	
+0.115105822682380680,	0.117219865322113040,	0.119361080229282380,	0.121530555188655850,	0.123729091137647630,	0.125957202166318890,	0.128215309232473370,	0.130503740161657330,	
+0.132822841405868530,	0.135173004120588300,	0.137554679065942760,	0.139968376606702800,	0.142414685338735580,	0.144894234836101530,	0.147407654672861100,	0.149955596774816510,	
+0.152538605034351350,	0.155157200992107390,	0.157811731100082400,	0.160502441227436070,	0.163229387253522870,	0.165992442518472670,	0.168791320174932480,	0.171625509858131410,	
+0.174494370818138120,	0.177397061139345170,	0.180332608520984650,	0.183299910277128220,	0.186297744512557980,	0.189324837177991870,	0.192379791289567950,	0.195461250841617580,	
+0.198567759245634080,	0.201697919517755510,	0.204850304871797560,	0.208023533225059510,	0.211216274648904800,	0.214427210390567780,	0.217655111104249950,	0.220898788422346120,	
+0.224157124757766720,	0.227429077029228210,	0.230713658034801480,	0.234009962528944020,	0.237317133694887160,	0.240634419023990630,	0.243961080908775330,	0.247296508401632310,	
+0.250640105456113820,	0.253991369158029560,	0.257349837571382520,	0.260715119540691380,	0.264086868613958360,	0.267464816570281980,	0.270848698914051060,	0.274238351732492450,	
+0.277633611112833020,	0.281034380197525020,	0.284440591931343080,	0.287852220237255100,	0.291269283741712570,	0.294691801071166990,	0.298119872808456420,	0.301553562283515930,	
+0.304993014782667160,	0.308438356965780260,	0.311889752745628360,	0.315347377210855480,	0.318811416625976560,	0.322282072156667710,	0.325759567320346830,	0.329244095832109450,	
+0.332735907286405560,	0.336235217750072480,	0.339742250740528110,	0.343257248401641850,	0.346780419349670410,	0.350311983376741410,	0.353852160274982450,	0.357401121407747270,	
+0.360959105193614960,	0.364526227116584780,	0.368102725595235820,	0.371688675135374070,	0.375284302979707720,	0.378889638930559160,	0.382504884153604510,	0.386130042374134060,	
+0.389765247702598570,	0.393410529941320420,	0.397065933793783190,	0.400731507688760760,	0.404407206922769550,	0.408093083649873730,	0.411789052188396450,	0.415495119988918300,	
+0.419211201369762420,	0.422937240451574330,	0.426673140376806260,	0.430418811738491060,	0.434174135327339170,	0.437938995659351350,	0.441713258624076840,	0.445496778935194020,	
+0.449289388954639430,	0.453090950846672060,	0.456901267170906070,	0.460720170289278030,	0.464547459036111830,	0.468382950872182850,	0.472226426005363460,	0.476077698171138760,	
+0.479936532676219940,	0.483802750706672670,	0.487676106393337250,	0.491556398570537570,	0.495443399995565410,	0.499336875975131990,	0.503236617892980580,	0.507142387330532070,	
+0.511053957045078280,	0.514971107244491580,	0.518893606960773470,	0.522821225225925450,	0.526753749698400500,	0.530690938234329220,	0.534632585942745210,	0.538578454405069350,	
+0.542528338730335240,	0.546481993049383160,	0.550439231097698210,	0.554399792104959490,	0.558363504707813260,	0.562330115586519240,	0.566299438476562500,	0.570271246135234830,	
+0.574245333671569820,	0.578221492469310760,	0.582199502736330030,	0.586179181933403020,	0.590160276740789410,	0.594142623245716090,	0.598125983029603960,	0.602110169827938080,	
+0.606094967573881150,	0.610080175101757050,	0.614065583795309070,	0.618050977587699890,	0.622036151587963100,	0.626020893454551700,	0.630004994571208950,	0.633988231420516970,	
+0.637970402836799620,	0.641951277852058410,	0.645930647850036620,	0.649908289313316350,	0.653883971273899080,	0.657857488840818410,	0.661828581243753430,	0.665797054767608640,	
+0.669762641191482540,	0.673725124448537830,	0.677684243768453600,	0.681639779359102250,	0.685591462999582290,	0.689539063721895220,	0.693482317030429840,	0.697420965880155560,	
+0.701354760676622390,	0.705283410847187040,	0.709206689149141310,	0.713124278932809830,	0.717035952955484390,	0.720941375941038130,	0.724840316921472550,	0.728732451796531680,	
+0.732617516070604320,	0.736495196819305420,	0.740365199744701390,	0.744227230548858640,	0.748080968856811520,	0.751926124095916750,	0.755762357264757160,	0.759589381515979770,	
+0.763406842947006230,	0.767214450985193250,	0.771011855453252790,	0.774798732250928880,	0.778574761003255840,	0.782339565455913540,	0.786092851310968400,	0.789834223687648770,	
+0.793563373386859890,	0.797279909253120420,	0.800983514636754990,	0.804673787206411360,	0.808350402861833570,	0.812012966722249980,	0.815661124885082240,	0.819294504821300510,	
+0.822912722826004030,	0.826515413820743560,	0.830102190375328060,	0.833672653883695600,	0.837226435542106630,	0.840763118118047710,	0.844282336533069610,	0.847783654928207400,	
+0.851266715675592420,	0.854731071740388870,	0.858176350593566890,	0.861602116376161580,	0.865007970482110980,	0.868393491953611370,	0.871758259832859040,	0.875101849436759950,	
+0.878423850983381270,	0.881723806262016300,	0.885001312941312790,	0.888255912810564040,	0.891487173736095430,	0.894694659858942030,	0.897877920418977740,	0.901036512106657030,	
+0.904169965535402300,	0.907277844846248630,	0.910359673202037810,	0.913415014743804930,	0.916443370282649990,	0.919444311410188670,	0.922417331486940380,	0.925361987203359600,	
+0.928277771919965740,	0.931164238601922990,	0.934020876884460450,	0.936847217381000520,	0.939642757177352910,	0.942407000809907910,	0.945139460265636440,	0.947839632630348210,	
+0.950507018715143200,	0.953141096979379650,	0.955741371959447860,	0.958307322114706040,	0.960838429629802700,	0.963334184139966960,	0.965794049203395840,	0.968217510730028150,	
+0.970604017376899720,	0.972953058779239650,	0.975264083594083790,	0.977536566555500030,	0.979769956320524220,	0.981963708996772770,	0.984117280691862110,	0.986230112612247470,	
+0.988301653414964680,	0.990331344306468960,	0.992318630218505860,	0.994262944906950000,	0.996163722127676010,	0.998020399361848830,	0.999832402914762500,	1.001599155366420700,	
+1.003320086747407900,	1.004994612187147100,	1.006622135639190700,	1.008202098309993700,	1.009733878076076500,	1.011216927319765100,	1.012650609016418500,	1.014034371823072400,	
+1.015367589890956900,	1.016649682074785200,	1.017880033701658200,	1.019058048725128200,	1.020183108747005500,	1.021254621446132700,	1.022271949797868700,	1.023234523832798000,	
+
+};
+/* ----------------------------------------------------------------------
+** Test input - logarithmic chirp signal
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[320] =
+  {
+    0.000000000000000061,	0.002622410992047861,	0.005253663973466970,	0.007893770384930297,	0.010542741395035495,	0.013200587895525877,	0.015867320496454066,	0.018542949521290073,	
+0.021227485001971542,	0.023920936673895138,	0.026623313970853074,	0.029334626019908643,	0.032054881636210709,	0.034784089317753723,	0.037522257240071598,	0.040269393250875855,	
+0.043025504864628375,	0.045790599257054837,	0.048564683259595690,	0.051347763353792118,	0.054139845665610427,	0.056940935959702531,	0.059751039633601337,	0.062570161711849828,	
+0.065398306840066575,	0.068235479278943648,	0.071081682898178900,	0.073936921170339814,	0.076801197164660218,	0.079674513540768196,	0.082556872542344922,	0.085448275990715375,	
+0.088348725278367082,	0.091258221362398390,	0.094176764757897533,	0.097104355531246703,	0.100040993293358240,	0.102986677192832010,	0.105941405909045980,	0.108905177645166230,	
+0.111877990121087980,	0.114859840566297130,	0.117850725712659680,	0.120850641787131110,	0.123859584504392860,	0.126877549059407400,	0.129904530119898690,	0.132940521818751430,	
+0.135985517746334080,	0.139039510942737950,	0.142102493889940090,	0.145174458503884160,	0.148255396126476810,	0.151345297517508140,	0.154444152846483080,	0.157551951684374300,	
+0.160668682995289720,	0.163794335128054890,	0.166928895807713030,	0.170072352126936720,	0.173224690537355760,	0.176385896840798810,	0.179555956180445340,	0.182734853031894270,	
+0.185922571194139130,	0.189119093780459800,	0.192324403209221870,	0.195538481194587030,	0.198761308737133020,	0.201992866114384050,	0.205233132871247170,	0.208482087810360570,	
+0.211739708982344370,	0.215005973675965020,	0.218280858408200220,	0.221564338914212730,	0.224856390137231970,	0.228156986218334190,	0.231466100486134670,	0.234783705446379690,	
+0.238109772771442410,	0.241444273289723230,	0.244787176974952890,	0.248138452935395580,	0.251498069402956710,	0.254865993722190930,	0.258242192339209860,	0.261626630790492030,	
+0.265019273691591620,	0.268420084725748410,	0.271829026632395280,	0.275246061195565440,	0.278671149232197430,	0.282104250580339830,	0.285545324087251580,	0.288994327597401960,	
+0.292451217940364990,	0.295915950918612280,	0.299388481295203350,	0.302868762781368150,	0.306356748023990040,	0.309852388592980640,	0.313355634968552230,	0.316866436528383590,	
+0.320384741534681720,	0.323910497121136620,	0.327443649279772870,	0.330984142847692230,	0.334531921493712690,	0.338086927704900790,	0.341649102772995210,	0.345218386780727190,	
+0.348794718588032520,	0.352378035818156910,	0.355968274843654950,	0.359565370772282730,	0.363169257432780890,	0.366779867360555120,	0.370397131783246010,	0.374020980606193880,	
+0.377651342397795690,	0.381288144374756830,	0.384931312387234990,	0.388580770903877330,	0.392236442996751310,	0.395898250326170650,	0.399566113125414350,	0.403239950185338420,	
+0.406919678838884410,	0.410605214945482130,	0.414296472875345100,	0.417993365493664670,	0.421695804144698540,	0.425403698635752780,	0.429116957221065130,	0.432835486585582130,	
+0.436559191828633180,	0.440287976447505720,	0.444021742320914510,	0.447760389692375140,	0.451503817153472210,	0.455251921627031540,	0.459004598350192470,	0.462761740857380200,	
+0.466523240963184150,	0.470288988745136360,	0.474058872526396560,	0.477832778858340690,	0.481610592503056990,	0.485392196415748600,	0.489177471727042850,	0.492966297725213780,	
+0.496758551838309250,	0.500554109616195060,	0.504352844712508190,	0.508154628866524960,	0.511959331884944910,	0.515766821623591440,	0.519576963969030530,	0.523389622820107150,	
+0.527204660069405030,	0.531021935584629400,	0.534841307189911630,	0.538662630647041900,	0.542485759636628150,	0.546310545739186690,	0.550136838416161340,	0.553964484990880020,	
+0.557793330629441700,	0.561623218321546380,	0.565453988861259300,	0.569285480827721570,	0.573117530565801950,	0.576949972166696630,	0.580782637448476910,	0.584615355936589420,	
+0.588447954844309340,	0.592280259053150400,	0.596112091093235260,	0.599943271123626440,	0.603773616912622660,	0.607602943818024150,	0.611431064767369080,	0.615257790238142090,	
+0.619082928237961740,	0.622906284284749700,	0.626727661386881850,	0.630546860023327600,	0.634363678123782030,	0.638177911048790960,	0.641989351569874020,	0.645797789849653410,	
+0.649603013421986450,	0.653404807172108140,	0.657202953316791350,	0.660997231384523490,	0.664787418195706640,	0.668573287842887610,	0.672354611671016960,	0.676131158257749170,	
+0.679902693393781730,	0.683668980063242500,	0.687429778424128110,	0.691184845788802130,	0.694933936604551380,	0.698676802434213370,	0.702413191936877570,	0.706142850848662460,	
+0.709865521963579990,	0.713580945114492330,	0.717288857154159800,	0.720988991936399870,	0.724681080297347790,	0.728364850036839040,	0.732040025899910680,	0.735706329558433620,	
+0.739363479592880620,	0.743011191474238440,	0.746649177546067850,	0.750277147006723990,	0.753894805891742180,	0.757501857056394940,	0.761098000158428880,	0.764682931640995540,	
+0.768256344715771980,	0.771817929346292900,	0.775367372231492210,	0.778904356789468790,	0.782428563141483460,	0.785939668096195860,	0.789437345134148760,	0.792921264392515420,	
+0.796391092650110770,	0.799846493312681210,	0.803287126398485760,	0.806712648524170680,	0.810122712890953390,	0.813516969271127150,	0.816895063994893090,	0.820256639937531280,	
+0.823601336506926020,	0.826928789631450890,	0.830238631748229430,	0.833530491791779850,	0.836803995183058700,	0.840058763818912760,	0.843294416061954100,	0.846510566730867220,	
+0.849706827091166740,	0.852882804846411770,	0.856038104129895340,	0.859172325496819990,	0.862285065916973510,	0.865375918767918860,	0.868444473828712590,	0.871490317274166260,	
+0.874513031669661770,	0.877512195966544280,	0.880487385498096800,	0.883438171976119850,	0.886364123488128100,	0.889264804495180530,	0.892139775830360640,	0.894988594697921020,	
+0.897810814673113080,	0.900605985702712770,	0.903373654106265470,	0.906113362578062300,	0.908824650189867690,	0.911507052394417540,	0.914160101029702910,	0.916783324324059180,	
+0.919376246902079860,	0.921938389791372770,	0.924469270430179120,	0.926968402675872660,	0.929435296814361430,	0.931869459570409790,	0.934270394118903560,	0.936637600097074200,	
+0.938970573617708970,	0.941268807283364040,	0.943531790201601380,	0.945759008001275100,	0.947949942849885320,	0.950104073472023970,	0.952220875168933280,	0.954299819839202090,	
+0.956340376000621160,	0.958342008813221960,	0.960304180103520260,	0.962226348389994210,	0.964107968909812760,	0.965948493646846980,	0.967747371360983650,	0.969504047618768740,	
+0.971217964825405680,	0.972888562258134030,	0.974515276101013520,	0.976097539481141750,	0.977634782506330400,	0.979126432304266880,	0.980571913063189360,	0.981970646074102120,	
+0.983322049774557390,	0.984625539794035220,	0.985880529000944810,	0.987086427551279730,	0.988242642938953360,	0.989348580047844540,	0.990403641205582440,	0.991407226239099710,	
+0.992358732531984260,	0.993257555083659870,	0.994103086570423680,	0.994894717408374870,	0.995631835818261310,	0.996313827892278070,	0.996940077662846650,	0.997509967173408010,	
+
+  };
diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c
new file mode 100644
index 0000000..5cd2a8a
--- /dev/null
+++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/arm_graphic_equalizer_example_q31.c
@@ -0,0 +1,411 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_graphic_equalizer_example_q31.c
+*
+* Description:   Example showing an audio graphic equalizer constructed
+*                out of Biquad filters.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup GEQ5Band Graphic Audio Equalizer Example
+ *
+ * \par Description:
+ * \par
+ * This example demonstrates how a 5-band graphic equalizer can be constructed
+ * using the Biquad cascade functions.
+ * A graphic equalizer is used in audio applications to vary the tonal quality
+ * of the audio.
+ *
+ * \par Block Diagram:
+ * \par
+ * The design is based on a cascade of 5 filter sections.
+ * \image html GEQ_signalflow.gif
+ * Each filter section is 4th order and consists of a cascade of two Biquads.
+ * Each filter has a nominal gain of 0 dB (1.0 in linear units) and
+ * boosts or cuts signals within a specific frequency range.
+ * The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz.
+ * Each band has an adjustable boost or cut in the range of +/- 9 dB.
+ * For example, the band that extends from 500 to 2000 Hz has the response shown below:
+ * \par
+ * \image html GEQ_bandresponse.gif
+ * \par
+ * With 1 dB steps, each filter has a total of 19 different settings.
+ * The filter coefficients for all possible 19 settings were precomputed
+ * in MATLAB and stored in a table.  With 5 different tables, there are
+ * a total of 5 x 19 = 95 different 4th order filters.
+ * All 95 responses are shown below:
+ * \par
+ * \image html GEQ_allbandresponse.gif
+ * \par
+ * Each 4th order filter has 10 coefficents for a grand total of 950 different filter
+ * coefficients that must be tabulated. The input and output data is in Q31 format.
+ * For better noise performance, the two low frequency bands are implemented using the high
+ * precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard
+ * 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp.
+ * \par
+ * \image html GEQ_inputchirp.gif
+ * \par
+ * The array <code>bandGains</code> specifies the gain in dB to apply in each band.
+ * For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be:
+ * \par
+ * \image html GEQ_outputchirp.gif
+ * \par
+ * \note The output chirp signal follows the gain or boost of each band.
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c testRefOutput_f32 points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c inputQ31 temporary input buffer
+ * \li \c outputQ31 temporary output buffer
+ * \li \c biquadStateBand1Q31 points to state buffer for band1
+ * \li \c biquadStateBand2Q31 points to state buffer for band2
+ * \li \c biquadStateBand3Q31 points to state buffer for band3
+ * \li \c biquadStateBand4Q31 points to state buffer for band4
+ * \li \c biquadStateBand5Q31 points to state buffer for band5
+ * \li \c coeffTable points to coefficient buffer for all bands
+ * \li \c gainDB gain buffer which has gains applied for all the bands
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_biquad_cas_df1_32x64_init_q31()
+ * - arm_biquad_cas_df1_32x64_q31()
+ * - arm_biquad_cascade_df1_init_q31()
+ * - arm_biquad_cascade_df1_q31()
+ * - arm_scale_q31()
+ * - arm_scale_f32()
+ * - arm_float_to_q31()
+ * - arm_q31_to_float()
+ *
+ * <b> Refer  </b>
+ * \link arm_graphic_equalizer_example_q31.c \endlink
+ *
+ */
+
+
+/** \example arm_graphic_equalizer_example_q31.c
+ */
+
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* Length of the overall data in the test */
+#define TESTLENGTH 320
+
+/* Block size for the underlying processing */
+#define BLOCKSIZE 32
+
+/* Total number of blocks to run */
+#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE)
+
+/* Number of 2nd order Biquad stages per filter */
+#define NUMSTAGES 2
+
+#define SNR_THRESHOLD_F32  98
+
+/* -------------------------------------------------------------------
+ * External Declarations for Input and Output buffers
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32[TESTLENGTH];
+static float32_t testOutput[TESTLENGTH];
+
+extern float32_t testRefOutput_f32[TESTLENGTH];
+
+/* ----------------------------------------------------------------------
+** Q31 state buffers for Band1, Band2, Band3, Band4, Band5
+** ------------------------------------------------------------------- */
+
+static q63_t biquadStateBand1Q31[4 * 2];
+static q63_t biquadStateBand2Q31[4 * 2];
+static q31_t biquadStateBand3Q31[4 * 2];
+static q31_t biquadStateBand4Q31[4 * 2];
+static q31_t biquadStateBand5Q31[4 * 2];
+
+/* ----------------------------------------------------------------------
+** Q31 input and output buffers
+** ------------------------------------------------------------------- */
+
+q31_t inputQ31[BLOCKSIZE];
+q31_t outputQ31[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+** Entire coefficient table.  There are 10 coefficients per 4th order Biquad
+** cascade filter.  The first 10 coefficients correspond to the -9 dB gain
+** setting of band 1; the next 10 coefficient correspond to the -8 dB gain
+** setting of band 1; and so on.  There are 10*19=190 coefficients in total
+** for band 1 (gains = -9, -8, -7, ..., 9).  After this come the 190 coefficients
+** for band 2.
+**
+** The coefficients are in Q29 format and require a postShift of 2.
+** ------------------------------------------------------------------- */
+
+const q31_t coeffTable[950] = {
+
+  /* Band 1, -9 dB gain */
+  535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981,
+  /* Band 1, -8 dB gain */
+  535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778,
+  535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686,
+  536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972,
+  536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897,
+  536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716,
+  536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676,
+  536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017,
+  536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975,
+  536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777,
+  537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648,
+  537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803,
+  537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454,
+  537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806,
+  537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059,
+  537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409,
+  537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045,
+  538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151,
+  538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907,
+
+  /* Band 2, -9 dB gain */
+  531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367,
+  /* Band 2, -8 dB gain */
+  532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122,
+  532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090,
+  533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573,
+  534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887,
+  534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373,
+  535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399,
+  535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368,
+  536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724,
+  536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953,
+  537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588,
+  537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208,
+  538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437,
+  539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946,
+  539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450,
+  540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700,
+  540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484,
+  541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621,
+  542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956,
+  518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571,
+  520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158,
+  522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225,
+  524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221,
+  526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897,
+  528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319,
+  530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872,
+  532859778, -1027954970, 498129955, 1035779077, -501565907, 532859778, -947363742, 438528571, 937742446, -428279254,
+  534862260, -1031790763, 499874098, 1035707863, -501593525, 534862260, -946969823, 436950987, 942153486, -431817474,
+  536870912, -1035670279, 501655630, 1035670279, -501655630, 536870912, -946413508, 435254839, 946413508, -435254839,
+  538887107, -1039597419, 503477238, 1035665609, -501751354, 538887107, -945691703, 433439146, 950526127, -438591937,
+  540912240, -1043575967, 505341475, 1035692963, -501879659, 540912240, -944801359, 431503152, 954495080, -441829621,
+  542947726, -1047609569, 507250741, 1035751307, -502039364, 542947726, -943739490, 429446349, 958324201, -444968987,
+  544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351,
+  547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226,
+  549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298,
+  551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401,
+  553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495,
+  555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644,
+  494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750,
+  498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942,
+  503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028,
+  508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289,
+  512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811,
+  517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485,
+  522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012,
+  527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882,
+  531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352,
+  536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420,
+  541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786,
+  546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816,
+  551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495,
+  556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389,
+  562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597,
+  567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710,
+  572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767,
+  577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214,
+  583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865,
+  387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270,
+  401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316,
+  416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319,
+  431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540,
+  447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528,
+  464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141,
+  481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559,
+  499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296,
+  517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221,
+  536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566,
+  556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943,
+  577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360,
+  598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230,
+  620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383,
+  643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077,
+  667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004,
+  692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294,
+  717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515,
+  744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673
+
+};
+
+/* ----------------------------------------------------------------------
+** Desired gains, in dB, per band
+** ------------------------------------------------------------------- */
+
+int gainDB[5] = {0, -3, 6, 4, -6};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+ * Graphic equalizer Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  float32_t  *inputF32, *outputF32;
+  arm_biquad_cas_df1_32x64_ins_q31 S1;
+  arm_biquad_cas_df1_32x64_ins_q31 S2;
+  arm_biquad_casd_df1_inst_q31 S3;
+  arm_biquad_casd_df1_inst_q31 S4;
+  arm_biquad_casd_df1_inst_q31 S5;
+  int i;
+  int32_t status;
+
+  inputF32 = &testInput_f32[0];
+  outputF32 = &testOutput[0];
+
+  /* Initialize the state and coefficient buffers for all Biquad sections */
+
+  arm_biquad_cas_df1_32x64_init_q31(&S1, NUMSTAGES,
+            (q31_t *) &coeffTable[190*0 + 10*(gainDB[0] + 9)],
+            &biquadStateBand1Q31[0], 2);
+
+  arm_biquad_cas_df1_32x64_init_q31(&S2, NUMSTAGES,
+            (q31_t *) &coeffTable[190*1 + 10*(gainDB[1] + 9)],
+            &biquadStateBand2Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S3, NUMSTAGES,
+          (q31_t *) &coeffTable[190*2 + 10*(gainDB[2] + 9)],
+          &biquadStateBand3Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S4, NUMSTAGES,
+          (q31_t *) &coeffTable[190*3 + 10*(gainDB[3] + 9)],
+          &biquadStateBand4Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S5, NUMSTAGES,
+          (q31_t *) &coeffTable[190*4 + 10*(gainDB[4] + 9)],
+          &biquadStateBand5Q31[0], 2);
+
+
+  /* Call the process functions and needs to change filter coefficients
+     for varying the gain of each band */
+
+  for(i=0; i < NUMBLOCKS; i++)
+  {
+
+    /* ----------------------------------------------------------------------
+    ** Convert block of input data from float to Q31
+    ** ------------------------------------------------------------------- */
+
+    arm_float_to_q31(inputF32 + (i*BLOCKSIZE), inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale down by 1/8.  This provides additional headroom so that the
+    ** graphic EQ can apply gain.
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_q31(inputQ31, 0x7FFFFFFF, -3, inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cas_df1_32x64_q31(&S1, inputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cas_df1_32x64_q31(&S2, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cascade_df1_q31(&S3, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S4, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S5, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Convert Q31 result back to float
+    ** ------------------------------------------------------------------- */
+
+    arm_q31_to_float(outputQ31, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale back up
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_f32(outputF32 + (i * BLOCKSIZE), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+  };
+
+  snr = arm_snr_f32(testRefOutput_f32, testOutput, TESTLENGTH);
+
+  if (snr < SNR_THRESHOLD_F32)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+  else
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signal does not match the reference output.
+  ** ------------------------------------------------------------------- */
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+/** \endlink */
+
+
+
diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_graphic_equalizer_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt
new file mode 100644
index 0000000..eef467a
--- /dev/null
+++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_linear_interp_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c
new file mode 100644
index 0000000..5a53ec6
--- /dev/null
+++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_data.c
@@ -0,0 +1,23616 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_linear_interp_data.c
+*   
+* Description:	 Data file used for example.  Generation method described
+*               below
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+ 
+/* ---------------------------------------------------------------------- 
+* Table generated from following MATLAB Command
+* x = -pi: 0.00005 : (2*pi - 0.00005);
+* y = sin(x);
+* where pi value is 3.141592653589793
+* --------------------------------------------------------------------*/
+
+float arm_linear_interep_table[188495] =  {
+
+
+-0.000000000000000122,	-0.000049999999979173,	-0.000099999999833667,	-0.000149999999437717,	-0.000199999998666767,	-0.000249999997395817,	-0.000299999995500311,	-0.000349999992854362,	
+-0.000399999989333412,	-0.000449999984812462,	-0.000499999979166956,	-0.000549999972271007,	-0.000599999964000057,	-0.000649999954229107,	-0.000699999942833602,	-0.000749999929687653,	
+-0.000799999914666704,	-0.000849999897645755,	-0.000899999878500250,	-0.000949999857104302,	-0.000999999833333354,	-0.001049999807062851,	-0.001099999778166904,	-0.001149999746520957,	
+-0.001199999712000011,	-0.001249999674479510,	-0.001299999633833566,	-0.001349999589937622,	-0.001399999542666680,	-0.001449999491896183,	-0.001499999437500243,	-0.001549999379354304,	
+-0.001599999317333367,	-0.001649999251312876,	-0.001699999181166942,	-0.001749999106771011,	-0.001799999028000082,	-0.001849998944729599,	-0.001899998856833675,	-0.001949998764187754,	
+-0.001999998666666836,	-0.002049998564146365,	-0.002099998456500453,	-0.002149998343604546,	-0.002199998225334087,	-0.002249998101563188,	-0.002299997972167294,	-0.002349997837021405,	
+-0.002399997696000966,	-0.002449997548980088,	-0.002499997395834216,	-0.002549997236438351,	-0.002599997070667937,	-0.002649996898397086,	-0.002699996719501243,	-0.002749996533855408,	
+-0.002799996341335026,	-0.002849996141814208,	-0.002899995935168401,	-0.002949995721272604,	-0.002999995500002261,	-0.003049995271231486,	-0.003099995034835722,	-0.003149994790690415,	
+-0.003199994538669677,	-0.003249994278648952,	-0.003299994010503243,	-0.003349993734107991,	-0.003399993449337312,	-0.003449993156066649,	-0.003499992854171003,	-0.003549992543525819,	
+-0.003599992224005209,	-0.003649991895484619,	-0.003699991557839049,	-0.003749991210943944,	-0.003799990854673418,	-0.003849990488902914,	-0.003899990113507434,	-0.003949989728362423,	
+-0.003999989333341993,	-0.004049988928321590,	-0.004099988513176658,	-0.004149988087781312,	-0.004199987652010995,	-0.004249987205740709,	-0.004299986748845899,	-0.004349986281200678,	
+-0.004399985802680492,	-0.004449985313160341,	-0.004499984812515671,	-0.004549984300620594,	-0.004599983777350557,	-0.004649983242580561,	-0.004699982696186050,	-0.004749982138041138,	
+-0.004799981568021272,	-0.004849980986001451,	-0.004899980391857122,	-0.004949979785462398,	-0.004999979166692725,	-0.005049978535423547,	-0.005099977891528979,	-0.005149977234884466,	
+-0.005199976565365011,	-0.005249975882846058,	-0.005299975187201721,	-0.005349974478307446,	-0.005399973756038235,	-0.005449973020269535,	-0.005499972270875456,	-0.005549971507731448,	
+-0.005599970730712511,	-0.005649969939694091,	-0.005699969134550302,	-0.005749968315156590,	-0.005799967481387958,	-0.005849966633119851,	-0.005899965770226383,	-0.005949964892583000,	
+-0.005999964000064706,	-0.006049963092546945,	-0.006099962169903833,	-0.006149961232010816,	-0.006199960278743339,	-0.006249959309975518,	-0.006299958325582797,	-0.006349957325440182,	
+-0.006399956309423117,	-0.006449955277405718,	-0.006499954229263430,	-0.006549953164871257,	-0.006599952084104644,	-0.006649950986837708,	-0.006699949872945895,	-0.006749948742304206,	
+-0.006799947594788089,	-0.006849946430271660,	-0.006899945248630365,	-0.006949944049739206,	-0.006999942833473632,	-0.007049941599707755,	-0.007099940348317025,	-0.007149939079176889,	
+-0.007199937792161461,	-0.007249936487146187,	-0.007299935164006074,	-0.007349933822616566,	-0.007399932462851779,	-0.007449931084587162,	-0.007499929687697716,	-0.007549928272058891,	
+-0.007599926837544801,	-0.007649925384030893,	-0.007699923911392173,	-0.007749922419504085,	-0.007799920908240749,	-0.007849919377477610,	-0.007899917827089672,	-0.007949916256952384,	
+-0.007999914666939863,	-0.008049913056927554,	-0.008099911426790906,	-0.008149909776404035,	-0.008199908105642390,	-0.008249906414380975,	-0.008299904702495238,	-0.008349902969859295,	
+-0.008399901216348595,	-0.008449899441838141,	-0.008499897646203384,	-0.008549895829318437,	-0.008599893991058752,	-0.008649892131299332,	-0.008699890249915625,	-0.008749888346781748,	
+-0.008799886421773151,	-0.008849884474764837,	-0.008899882505632256,	-0.008949880514249525,	-0.008999878500492093,	-0.009049876464234965,	-0.009099874405353590,	-0.009149872323722084,	
+-0.009199870219215898,	-0.009249868091710479,	-0.009299865941079948,	-0.009349863767199750,	-0.009399861569944894,	-0.009449859349190827,	-0.009499857104811669,	-0.009549854836682867,	
+-0.009599852544679429,	-0.009649850228676803,	-0.009699847888549109,	-0.009749845524171793,	-0.009799843135419864,	-0.009849840722168771,	-0.009899838284292632,	-0.009949835821666898,	
+-0.009999833334166574,	-0.010049830821667110,	-0.010099828284042626,	-0.010149825721168572,	-0.010199823132920397,	-0.010249820519172219,	-0.010299817879799491,	-0.010349815214677217,	
+-0.010399812523680850,	-0.010449809806684508,	-0.010499807063563642,	-0.010549804294193258,	-0.010599801498448806,	-0.010649798676204407,	-0.010699795827335511,	-0.010749792951717126,	
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+-0.005977925164693903,	-0.005927926050640159,	-0.005877926921766601,	-0.005827927778198225,	-0.005777928620060029,	-0.005727929447477013,	-0.005677930260574172,	-0.005627931059476505,	
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+-0.005177937631453262,	-0.005127938295282235,	-0.005077938946291362,	-0.005027939584605642,	-0.004977940210350073,	-0.004927940823649654,	-0.004877941424629382,	-0.004827942013413369,	
+-0.004777942590128389,	-0.004727943154898552,	-0.004677943707848858,	-0.004627944249104304,	-0.004577944778789890,	-0.004527945297030614,	-0.004477945803951475,	-0.004427946299676583,	
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+-0.003977950278065560,	-0.003927950668717847,	-0.003877951049550258,	-0.003827951420687791,	-0.003777951782255445,	-0.003727952134378220,	-0.003677952477180227,	-0.003627952810788240,	
+-0.003577953135326371,	-0.003527953450919620,	-0.003477953757692985,	-0.003427954055771466,	-0.003377954345280061,	-0.003327954626343770,	-0.003277954899086705,	-0.003227955163635641,	
+-0.003177955420114689,	-0.003127955668648848,	-0.003077955909363118,	-0.003027956142382499,	-0.002977956367831988,	-0.002927956585835699,	-0.002877956796520407,	-0.002827957000010223,	
+-0.002777957196430146,	-0.002727957385905176,	-0.002677957568560313,	-0.002627957744520555,	-0.002577957913910904,	-0.002527958076855469,	-0.002477958233481027,	-0.002427958383911690,	
+-0.002377958528272457,	-0.002327958666688328,	-0.002277958799284302,	-0.002227958926185378,	-0.002177959047516558,	-0.002127959163401952,	-0.002077959273968336,	-0.002027959379339822,	
+-0.001977959479641409,	-0.001927959574998098,	-0.001877959665534888,	-0.001827959751376778,	-0.001777959832647881,	-0.001727959909474973,	-0.001677959981982165,	-0.001627960050294457,	
+-0.001577960114536849,	-0.001527960174834340,	-0.001477960231311931,	-0.001427960284094622,	-0.001377960333306523,	-0.001327960379074412,	-0.001277960421522400,	-0.001227960460775487,	
+-0.001177960496958673,	-0.001127960530196958,	-0.001077960560615341,	-0.001027960588337934,	-0.000977960613491515,	-0.000927960636200194,	-0.000877960656588971,	-0.000827960674782847,	
+-0.000777960690906820,	-0.000727960705085893,	-0.000677960717445063,	-0.000627960728108444,	-0.000577960737202810,	-0.000527960744852275,	-0.000477960751181838,	-0.000427960756316500,	
+-0.000377960760381259,	-0.000327960763501117,	-0.000277960765801072,	-0.000227960767405237,	-0.000177960768440389,	-0.000127960769030639,	-0.000077960769300987
+};
+
+
diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_example_f32.c b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_example_f32.c
new file mode 100644
index 0000000..c54564a
--- /dev/null
+++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/arm_linear_interp_example_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_linear_interp_example_f32.c
+*
+* Description:   Example code demonstrating usage of sin function
+*                and uses linear interpolation to get higher precision
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup LinearInterpExample Linear Interpolate Example
+ *
+ * <b> CMSIS DSP Software Library -- Linear Interpolate Example  </b>
+ *
+ * <b> Description </b>
+ * This example demonstrates usage of linear interpolate modules and fast math modules.
+ * Method 1 uses fast math sine function to calculate sine values using cubic interpolation and method 2 uses
+ * linear interpolation function and results are compared to reference output.
+ * Example shows linear interpolation function can be used to get higher precision compared to fast math sin calculation.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html linearInterpExampleMethod1.gif "Method 1: Sine caluclation using fast math"
+ * \par
+ * \image html linearInterpExampleMethod2.gif "Method 2: Sine caluclation using interpolation function"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputSin_f32         points to the input values for sine calculation
+ * \li \c testRefSinOutput32_f32   points to the reference values caculated from sin() matlab function
+ * \li \c testOutput               points to output buffer calculation from cubic interpolation
+ * \li \c testLinIntOutput         points to output buffer calculation from linear interpolation
+ * \li \c snr1                     Signal to noise ratio for reference and cubic interpolation output
+ * \li \c snr2                     Signal to noise ratio for reference and linear interpolation output
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_sin_f32()
+ * - arm_linear_interp_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_linear_interp_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_linear_interp_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD           90
+#define TEST_LENGTH_SAMPLES     10
+#define XSPACING               (0.00005f)
+
+/* ----------------------------------------------------------------------
+* Test input data for F32 SIN function
+* Generated by the MATLAB rand() function
+* randn('state', 0)
+* xi = (((1/4.18318581819710)* randn(blockSize, 1) * 2* pi));
+* --------------------------------------------------------------------*/
+float32_t testInputSin_f32[TEST_LENGTH_SAMPLES] =
+{
+   -0.649716504673081170, -2.501723745497831200,
+    0.188250329003310100,  0.432092748487532540,
+   -1.722010988459680800,  1.788766476323060600,
+    1.786136060975809500, -0.056525543169408797,
+    0.491596272728153760,  0.262309671126153390
+};
+
+/*------------------------------------------------------------------------------
+*  Reference out of SIN F32 function for Block Size = 10
+*  Calculated from sin(testInputSin_f32)
+*------------------------------------------------------------------------------*/
+float32_t testRefSinOutput32_f32[TEST_LENGTH_SAMPLES] =
+{
+   -0.604960695383043530, -0.597090287967934840,
+    0.187140422442966500,  0.418772124875992690,
+   -0.988588831792106880,  0.976338412038794010,
+    0.976903856413481100, -0.056495446835214236,
+    0.472033731854734240,  0.259311907228582830
+};
+
+/*------------------------------------------------------------------------------
+*  Method 1: Test out Buffer Calculated from Cubic Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+*  Method 2: Test out buffer Calculated from Linear Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testLinIntOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+*  External table used for linear interpolation
+*------------------------------------------------------------------------------*/
+extern float arm_linear_interep_table[188495];
+
+/* ----------------------------------------------------------------------
+* Global Variables for caluclating SNR's for Method1 & Method 2
+* ------------------------------------------------------------------- */
+float32_t snr1;
+float32_t snr2;
+
+/* ----------------------------------------------------------------------------
+* Calculation of Sine values from Cubic Interpolation and Linear interpolation
+* ---------------------------------------------------------------------------- */
+int32_t main(void)
+{
+  uint32_t i;
+  arm_status status;
+
+  arm_linear_interp_instance_f32 S = {188495, -3.141592653589793238, XSPACING, &arm_linear_interep_table[0]};
+
+  /*------------------------------------------------------------------------------
+  *  Method 1: Test out Calculated from Cubic Interpolation
+  *------------------------------------------------------------------------------*/
+  for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+  {
+    testOutput[i] = arm_sin_f32(testInputSin_f32[i]);
+  }
+
+  /*------------------------------------------------------------------------------
+  *  Method 2: Test out Calculated from Cubic Interpolation and Linear interpolation
+  *------------------------------------------------------------------------------*/
+
+  for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+  {
+      testLinIntOutput[i] = arm_linear_interp_f32(&S, testInputSin_f32[i]);
+  }
+
+  /*------------------------------------------------------------------------------
+  *            SNR calculation for method 1
+  *------------------------------------------------------------------------------*/
+  snr1 = arm_snr_f32(testRefSinOutput32_f32, testOutput, 2);
+
+  /*------------------------------------------------------------------------------
+  *            SNR calculation for method 2
+  *------------------------------------------------------------------------------*/
+  snr2 = arm_snr_f32(testRefSinOutput32_f32, testLinIntOutput, 2);
+
+  /*------------------------------------------------------------------------------
+  *            Initialise status depending on SNR calculations
+  *------------------------------------------------------------------------------*/
+  if( snr2 > snr1)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+  else
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_linear_interp_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt
new file mode 100644
index 0000000..36357bf
--- /dev/null
+++ b/DSP_Lib/Examples/arm_matrix_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_matrix_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c b/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c
new file mode 100644
index 0000000..7696b41
--- /dev/null
+++ b/DSP_Lib/Examples/arm_matrix_example/ARM/arm_matrix_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_matrix_example_f32.c
+*
+* Description:   Example code demonstrating least square fit to data
+*                using matrix functions
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup MatrixExample Matrix Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse
+ * functions to apply least squares fitting to input data. Least squares fitting is
+ * the procedure for finding the best-fitting curve that minimizes the sum of the
+ * squares of the offsets (least square error) from a given set of data.
+ *
+ * \par Algorithm:
+ * \par
+ * The linear combination of parameters considered is as follows:
+ * \par
+ * <code>A * X = B</code>, where \c X is the unknown value and can be estimated
+ * from \c A & \c B.
+ * \par
+ * The least squares estimate \c X is given by the following equation:
+ * \par
+ * <code>X = Inverse(A<sup>T</sup> * A) *  A<sup>T</sup> * B</code>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html matrixExample.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c A_f32 input matrix in the linear combination equation
+ * \li \c B_f32 output matrix in the linear combination equation
+ * \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_trans_f32()
+ * - arm_mat_mult_f32()
+ * - arm_mat_inverse_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_matrix_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_matrix_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD   90
+
+/* --------------------------------------------------------------------------------
+* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize
+* and tapSize
+* --------------------------------------------------------------------------------- */
+
+const float32_t B_f32[4] =
+{
+  782.0, 7577.0, 470.0, 4505.0
+};
+
+/* --------------------------------------------------------------------------------
+* Formula to fit is  C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize
+* -------------------------------------------------------------------------------- */
+
+const float32_t A_f32[16] =
+{
+  /* Const,   numTaps,   blockSize,   numTaps*blockSize */
+  1.0,     32.0,      4.0,     128.0,
+  1.0,     32.0,     64.0,    2048.0,
+  1.0,     16.0,      4.0,      64.0,
+  1.0,     16.0,     64.0,    1024.0,
+};
+
+
+/* ----------------------------------------------------------------------
+* Temporary buffers  for storing intermediate values
+* ------------------------------------------------------------------- */
+/* Transpose of A Buffer */
+float32_t AT_f32[16];
+/* (Transpose of A * A) Buffer */
+float32_t ATMA_f32[16];
+/* Inverse(Transpose of A * A)  Buffer */
+float32_t ATMAI_f32[16];
+/* Test Output Buffer */
+float32_t X_f32[4];
+
+/* ----------------------------------------------------------------------
+* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB
+* ------------------------------------------------------------------- */
+const float32_t xRef_f32[4] = {73.0, 8.0, 21.25, 2.875};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+  arm_matrix_instance_f32 A;      /* Matrix A Instance */
+  arm_matrix_instance_f32 AT;     /* Matrix AT(A transpose) instance */
+  arm_matrix_instance_f32 ATMA;   /* Matrix ATMA( AT multiply with A) instance */
+  arm_matrix_instance_f32 ATMAI;  /* Matrix ATMAI(Inverse of ATMA) instance */
+  arm_matrix_instance_f32 B;      /* Matrix B instance */
+  arm_matrix_instance_f32 X;      /* Matrix X(Unknown Matrix) instance */
+
+  uint32_t srcRows, srcColumns;  /* Temporary variables */
+  arm_status status;
+
+  /* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&A, srcRows, srcColumns, (float32_t *)A_f32);
+
+  /* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&AT, srcRows, srcColumns, AT_f32);
+
+  /* calculation of A transpose */
+  status = arm_mat_trans_f32(&A, &AT);
+
+
+  /* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&ATMA, srcRows, srcColumns, ATMA_f32);
+
+  /* calculation of AT Multiply with A */
+  status = arm_mat_mult_f32(&AT, &A, &ATMA);
+
+  /* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&ATMAI, srcRows, srcColumns, ATMAI_f32);
+
+  /* calculation of Inverse((Transpose(A) * A) */
+  status = arm_mat_inverse_f32(&ATMA, &ATMAI);
+
+  /* calculation of (Inverse((Transpose(A) * A)) *  Transpose(A)) */
+  status = arm_mat_mult_f32(&ATMAI, &AT, &ATMA);
+
+  /* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */
+  srcRows = 4;
+  srcColumns = 1;
+  arm_mat_init_f32(&B, srcRows, srcColumns, (float32_t *)B_f32);
+
+  /* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */
+  srcRows = 4;
+  srcColumns = 1;
+  arm_mat_init_f32(&X, srcRows, srcColumns, X_f32);
+
+  /* calculation ((Inverse((Transpose(A) * A)) *  Transpose(A)) * B) */
+  status = arm_mat_mult_f32(&ATMA, &B, &X);
+
+  /* Comparison of reference with test output */
+  snr = arm_snr_f32((float32_t *)xRef_f32, X_f32, 4);
+
+  /*------------------------------------------------------------------------------
+  *            Initialise status depending on SNR calculations
+  *------------------------------------------------------------------------------*/
+  if( snr > SNR_THRESHOLD)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+  else
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_matrix_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt
new file mode 100644
index 0000000..d246eb8
--- /dev/null
+++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_signal_converge_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c
new file mode 100644
index 0000000..ddb1278
--- /dev/null
+++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_data.c
@@ -0,0 +1,269 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_signal_converge_data.c
+*   
+* Description:	 Test input data for Floating point LMS Norm FIR filter
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input data for Floating point LMS Norm FIR filter
+** Generated by the MATLAB randn() function
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[1536] = 
+{   
+-0.432565,	-1.665584,	0.125332,	0.287676,	-1.146471,	1.190915,	1.189164,	-0.037633,	
+0.327292,	0.174639,	-0.186709,	0.725791,	-0.588317,	2.183186,	-0.136396,	0.113931,	
+1.066768,	0.059281,	-0.095648,	-0.832349,	0.294411,	-1.336182,	0.714325,	1.623562,	
+-0.691776,	0.857997,	1.254001,	-1.593730,	-1.440964,	0.571148,	-0.399886,	0.689997,	
+0.815622,	0.711908,	1.290250,	0.668601,	1.190838,	-1.202457,	-0.019790,	-0.156717,	
+-1.604086,	0.257304,	-1.056473,	1.415141,	-0.805090,	0.528743,	0.219321,	-0.921902,	
+-2.170674,	-0.059188,	-1.010634,	0.614463,	0.507741,	1.692430,	0.591283,	-0.643595,	
+0.380337,	-1.009116,	-0.019511,	-0.048221,	0.000043,	-0.317859,	1.095004,	-1.873990,	
+0.428183,	0.895638,	0.730957,	0.577857,	0.040314,	0.677089,	0.568900,	-0.255645,	
+-0.377469,	-0.295887,	-1.475135,	-0.234004,	0.118445,	0.314809,	1.443508,	-0.350975,	
+0.623234,	0.799049,	0.940890,	-0.992092,	0.212035,	0.237882,	-1.007763,	-0.742045,	
+1.082295,	-0.131500,	0.389880,	0.087987,	-0.635465,	-0.559573,	0.443653,	-0.949904,	
+0.781182,	0.568961,	-0.821714,	-0.265607,	-1.187777,	-2.202321,	0.986337,	-0.518635,	
+0.327368,	0.234057,	0.021466,	-1.003944,	-0.947146,	-0.374429,	-1.185886,	-1.055903,	
+1.472480,	0.055744,	-1.217317,	-0.041227,	-1.128344,	-1.349278,	-0.261102,	0.953465,	
+0.128644,	0.656468,	-1.167819,	-0.460605,	-0.262440,	-1.213152,	-1.319437,	0.931218,	
+0.011245,	-0.645146,	0.805729,	0.231626,	-0.989760,	1.339586,	0.289502,	1.478917,	
+1.138028,	-0.684139,	-1.291936,	-0.072926,	-0.330599,	-0.843628,	0.497770,	1.488490,	
+-0.546476,	-0.846758,	-0.246337,	0.663024,	-0.854197,	-1.201315,	-0.119869,	-0.065294,	
+0.485296,	-0.595491,	-0.149668,	-0.434752,	-0.079330,	1.535152,	-0.606483,	-1.347363,	
+0.469383,	-0.903567,	0.035880,	-0.627531,	0.535398,	0.552884,	-0.203690,	-2.054325,	
+0.132561,	1.592941,	1.018412,	-1.580402,	-0.078662,	-0.681657,	-1.024553,	-1.234353,	
+0.288807,	-0.429303,	0.055801,	-0.367874,	-0.464973,	0.370961,	0.728283,	2.112160,	
+-1.357298,	-1.022610,	1.037834,	-0.389800,	-1.381266,	0.315543,	1.553243,	0.707894,	
+1.957385,	0.504542,	1.864529,	-0.339812,	-1.139779,	-0.211123,	1.190245,	-1.116209,	
+0.635274,	-0.601412,	0.551185,	-1.099840,	0.085991,	-2.004563,	-0.493088,	0.462048,	
+-0.321005,	1.236556,	-0.631280,	-2.325211,	-1.231637,	1.055648,	-0.113224,	0.379224,	
+0.944200,	-2.120427,	-0.644679,	-0.704302,	-1.018137,	-0.182082,	1.521013,	-0.038439,	
+1.227448,	-0.696205,	0.007524,	-0.782893,	0.586939,	-0.251207,	0.480136,	0.668155,	
+-0.078321,	0.889173,	2.309287,	0.524639,	-0.011787,	0.913141,	0.055941,	-1.107070,	
+0.485498,	-0.005005,	-0.276218,	1.276452,	1.863401,	-0.522559,	0.103424,	-0.807649,	
+0.680439,	-2.364590,	0.990115,	0.218899,	0.261662,	1.213444,	-0.274667,	-0.133134,	
+-1.270500,	-1.663606,	-0.703554,	0.280880,	-0.541209,	-1.333531,	1.072686,	-0.712085,	
+-0.011286,	-0.000817,	-0.249436,	0.396575,	-0.264013,	-1.664011,	-1.028975,	0.243095,	
+-1.256590,	-0.347183,	-0.941372,	-1.174560,	-1.021142,	-0.401667,	0.173666,	-0.116118,	
+1.064119,	-0.245386,	-1.517539,	0.009734,	0.071373,	0.316536,	0.499826,	1.278084,	
+-0.547816,	0.260808,	-0.013177,	-0.580264,	2.136308,	-0.257617,	-1.409528,	1.770101,	
+0.325546,	-1.119040,	0.620350,	1.269782,	-0.896043,	0.135175,	-0.139040,	-1.163395,	
+1.183720,	-0.015430,	0.536219,	-0.716429,	-0.655559,	0.314363,	0.106814,	1.848216,	
+-0.275106,	2.212554,	1.508526,	-1.945079,	-1.680543,	-0.573534,	-0.185817,	0.008934,	
+0.836950,	-0.722271,	-0.721490,	-0.201181,	-0.020464,	0.278890,	1.058295,	0.621673,	
+-1.750615,	0.697348,	0.811486,	0.636345,	1.310080,	0.327098,	-0.672993,	-0.149327,	
+-2.449018,	0.473286,	0.116946,	-0.591104,	-0.654708,	-1.080662,	-0.047731,	0.379345,	
+-0.330361,	-0.499898,	-0.035979,	-0.174760,	-0.957265,	1.292548,	0.440910,	1.280941,	
+-0.497730,	-1.118717,	0.807650,	0.041200,	-0.756209,	-0.089129,	-2.008850,	1.083918,	
+-0.981191,	-0.688489,	1.339479,	-0.909243,	-0.412858,	-0.506163,	1.619748,	0.080901,	
+-1.081056,	-1.124518,	1.735676,	1.937459,	1.635068,	-1.255940,	-0.213538,	-0.198932,	
+0.307499,	-0.572325,	-0.977648,	-0.446809,	1.082092,	2.372648,	0.229288,	-0.266623,	
+0.701672,	-0.487590,	1.862480,	1.106851,	-1.227566,	-0.669885,	1.340929,	0.388083,	
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+0.733039,	0.059580,	0.149144,	1.595857,	-0.777250,	1.550277,	1.055002,	-0.166654,	
+0.314484,	1.419571,	0.327348,	0.475653,	0.398754,	-0.072770,	1.314784,	0.978279,	
+1.722114,	-0.412302,	0.565133,	0.739851,	0.220138,	1.312807,	0.629152,	-1.107987,	
+-0.447001,	-0.725993,	0.354045,	-0.506772,	-2.103747,	-0.664684,	1.450110,	-0.329805,	
+2.701872,	-1.634939,	-0.536325,	0.547223,	1.492603,	-0.455243,	-0.496416,	1.235260,	
+0.040926,	0.748467,	1.230764,	0.304903,	1.077771,	0.765151,	-1.319580,	-0.509191,	
+0.555116,	-1.957625,	-0.760453,	-2.443886,	-0.659366,	-0.114779,	0.300079,	-0.583996,	
+-3.073745,	1.551042,	-0.407369,	1.428095,	-1.353242,	0.903970,	0.541671,	-0.465020
+};
+
+
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point LMS FIR filter
+*  FIR high pass filter with cutoff freq 9.6kHz (transition 9.6KHz to 11.52KHz) 
+** ------------------------------------------------------------------- */  
+float32_t lmsNormCoeff_f32[32] = {
+-0.004240,	0.002301,	0.008860,	-0.000000,	-0.019782,	-0.010543,	0.032881,	0.034736,	
+-0.037374,	-0.069586,	0.022397,	0.102169,	0.014185,	-0.115908,	-0.061648,	0.101018,	
+0.101018,	-0.061648,	-0.115908,	0.014185,	0.102169,	0.022397,	-0.069586,	-0.037374,	
+0.034736,	0.032881,	-0.010543,	-0.019782,	-0.000000,	0.008860,	0.002301,	-0.004240	
+
+};
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point FIR filter
+*  FIR low pass filter with cutoff freq 24Hz (transition 24Hz to 240Hz) 
+** ------------------------------------------------------------------- */  
+const float32_t FIRCoeff_f32[32] = {
+0.004502,	0.005074,	0.006707,	0.009356,	0.012933,	0.017303,	0.022298,	0.027717,	
+0.033338,	0.038930,	0.044258,	0.049098,	0.053243,	0.056519,	0.058784,	0.059941,	
+0.059941,	0.058784,	0.056519,	0.053243,	0.049098,	0.044258,	0.038930,	0.033338,	
+0.027717,	0.022298,	0.017303,	0.012933,	0.009356,	0.006707,	0.005074,	0.004502
+
+};
+
diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c
new file mode 100644
index 0000000..983b6bf
--- /dev/null
+++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/arm_signal_converge_example_f32.c
@@ -0,0 +1,259 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_signal_converge_example_f32.c
+*
+* Description:   Example code demonstrating convergence of an adaptive
+*                filter.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SignalConvergence Signal Convergence Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the ability of an adaptive filter to "learn" the transfer function of
+ * a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse
+ * Response (FIR) Filter, and Basic Math Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The figure below illustrates the signal flow in this example. Uniformly distributed white
+ * noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the
+ * reference input of the adaptive filter (normalized LMS filter). The white noise is input
+ * to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter.
+ * The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and
+ * (2) the error signal which is the difference between the adaptive filter and the reference
+ * output of the FIR filter. Over time as the adaptive filter learns the transfer function
+ * of the FIR filter, the first output approaches the reference output of the FIR filter,
+ * and the error signal approaches zero.
+ * \par
+ * The adaptive filter converges properly even if the input signal has a large dynamic
+ * range (i.e., varies from small to large values). The coefficients of the adaptive filter
+ * are initially zero, and then converge over 1536 samples. The internal function test_signal_converge()
+ * implements the stopping condition. The function checks if all of the values of the error signal have a
+ * magnitude below a threshold DELTA.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html SignalFlow.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c firStateF32 points to FIR state buffer
+ * \li \c lmsStateF32 points to Normalised Least mean square FIR filter state buffer
+ * \li \c FIRCoeff_f32 points to coefficient buffer
+ * \li \c lmsNormCoeff_f32 points to Normalised Least mean square FIR filter coefficient buffer
+ * \li \c wire1, wir2, wire3 temporary buffers
+ * \li \c errOutput, err_signal temporary error buffers
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_lms_norm_init_f32()
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ * - arm_lms_norm_f32()
+ * - arm_scale_f32()
+ * - arm_abs_f32()
+ * - arm_sub_f32()
+ * - arm_min_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_signal_converge_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_signal_converge_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Global defines for the simulation
+* ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES 1536
+#define NUMTAPS               32
+#define BLOCKSIZE             32
+#define DELTA_ERROR         0.000001f
+#define DELTA_COEFF         0.0001f
+#define MU                  0.5f
+
+#define NUMFRAMES (TEST_LENGTH_SAMPLES / BLOCKSIZE)
+
+/* ----------------------------------------------------------------------
+* Declare FIR state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t firStateF32[NUMTAPS + BLOCKSIZE];
+arm_fir_instance_f32 LPF_instance;
+
+/* ----------------------------------------------------------------------
+* Declare LMSNorm state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t lmsStateF32[NUMTAPS + BLOCKSIZE];
+float32_t errOutput[TEST_LENGTH_SAMPLES];
+arm_lms_norm_instance_f32 lmsNorm_instance;
+
+
+/* ----------------------------------------------------------------------
+* Function Declarations for Signal Convergence Example
+* ------------------------------------------------------------------- */
+
+arm_status test_signal_converge_example( void );
+
+
+/* ----------------------------------------------------------------------
+* Internal functions
+* ------------------------------------------------------------------- */
+arm_status test_signal_converge(float32_t* err_signal,
+                        uint32_t blockSize);
+
+void getinput(float32_t* input,
+     uint32_t fr_cnt,
+          uint32_t blockSize);
+
+/* ----------------------------------------------------------------------
+* External Declarations for FIR F32 module Test
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32[TEST_LENGTH_SAMPLES];
+extern float32_t lmsNormCoeff_f32[32];
+extern const float32_t FIRCoeff_f32[32];
+extern arm_lms_norm_instance_f32 lmsNorm_instance;
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+
+float32_t wire1[BLOCKSIZE];
+float32_t wire2[BLOCKSIZE];
+float32_t wire3[BLOCKSIZE];
+float32_t err_signal[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Signal converge test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  uint32_t i;
+  arm_status status;
+  uint32_t index;
+  float32_t minValue;
+
+  /* Initialize the LMSNorm data structure */
+  arm_lms_norm_init_f32(&lmsNorm_instance, NUMTAPS, lmsNormCoeff_f32, lmsStateF32, MU, BLOCKSIZE);
+
+  /* Initialize the FIR data structure */
+  arm_fir_init_f32(&LPF_instance, NUMTAPS, (float32_t *)FIRCoeff_f32, firStateF32, BLOCKSIZE);
+
+  /* ----------------------------------------------------------------------
+  * Loop over the frames of data and execute each of the processing
+  * functions in the system.
+  * ------------------------------------------------------------------- */
+
+  for(i=0; i < NUMFRAMES; i++)
+  {
+    /* Read the input data - uniformly distributed random noise - into wire1 */
+    arm_copy_f32(testInput_f32 + (i * BLOCKSIZE), wire1, BLOCKSIZE);
+
+    /* Execute the FIR processing function.  Input wire1 and output wire2 */
+    arm_fir_f32(&LPF_instance, wire1, wire2, BLOCKSIZE);
+
+    /* Execute the LMS Norm processing function*/
+
+    arm_lms_norm_f32(&lmsNorm_instance, /* LMSNorm instance */
+         wire1,                         /* Input signal */
+         wire2,                         /* Reference Signal */
+         wire3,                         /* Converged Signal */
+         err_signal,                    /* Error Signal, this will become small as the signal converges */
+         BLOCKSIZE);                    /* BlockSize */
+
+    /* apply overall gain */
+    arm_scale_f32(wire3, 5, wire3, BLOCKSIZE);   /* in-place buffer */
+  }
+
+  status = ARM_MATH_SUCCESS;
+
+  /* -------------------------------------------------------------------------------
+  * Test whether the error signal has reached towards 0.
+  * ----------------------------------------------------------------------------- */
+
+  arm_abs_f32(err_signal, err_signal, BLOCKSIZE);
+  arm_min_f32(err_signal, BLOCKSIZE, &minValue, &index);
+
+  if (minValue > DELTA_ERROR)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  * Test whether the filter coefficients have converged.
+  * ------------------------------------------------------------------- */
+
+  arm_sub_f32((float32_t *)FIRCoeff_f32, lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+
+  arm_abs_f32(lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+  arm_min_f32(lmsNormCoeff_f32, NUMTAPS, &minValue, &index);
+
+  if (minValue > DELTA_COEFF)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  * Loop here if the signals did not pass the convergence check.
+  * This denotes a test failure
+  * ------------------------------------------------------------------- */
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c
new file mode 100644
index 0000000..dbf2cfe
--- /dev/null
+++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0    
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files  
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files  
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/** 
+ * @brief  Caluclation of SNR
+ * @param  float* 	Pointer to the reference buffer
+ * @param  float*	Pointer to the test buffer
+ * @param  uint32_t	total number of samples
+ * @return float	SNR
+ * The function Caluclates signal to noise ratio for the reference output 
+ * and test output 
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if(temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); 
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if(temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+	
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t* 	    Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values 
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t* 	Pointer to Ref buffer
+ * @param  q15_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}	
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t* 	Pointer to Ref buffer
+ * @param  q31_t* 	Pointer to Test buffer
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none 
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i; 
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if(diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf, 
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/** 
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t* 	Pointer to input buffer
+ * @param  uint32_t 	blockSize
+ * @param  uint32_t 	guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer 
+ * to avoid overflow 
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf, 
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/** 
+ * @brief  Caluclates number of guard bits 
+ * @param  uint32_t 	number of additions
+ * @return none
+ * The function Caluclates the number of guard bits  
+ * depending on the numtaps 
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/** 
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn, 
+						   uint32_t numSamples, 
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/** 
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }	
+
+  return(val);
+}
+
+
+
+/** 
+ * @brief  Converts float to fixed q14 
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+ 
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut, 
+					   uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/** 
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut, 
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/** 
+ * @brief  Clip the float values to +/- 1 
+ * @param  pIn 	input buffer
+ * @param  numSamples 	number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values 
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if(pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+	       
+    }
+}
+
+
+
+
diff --git a/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h
new file mode 100644
index 0000000..46b0af3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_signal_converge_example/ARM/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt
new file mode 100644
index 0000000..d698b43
--- /dev/null
+++ b/DSP_Lib/Examples/arm_sin_cos_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_sin_cos_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c b/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c
new file mode 100644
index 0000000..dc89a39
--- /dev/null
+++ b/DSP_Lib/Examples/arm_sin_cos_example/ARM/arm_sin_cos_example_f32.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         12. March 2014
+* $Revision:     V1.4.3
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_sin_cos_example_f32.c
+*
+* Description:   Example code demonstrating sin and cos calculation of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SinCosExample SineCosine Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector
+ * Multiplication, and Vector Addition functions.
+ *
+ * \par Algorithm:
+ * \par
+ * Mathematically, the Pythagorean trignometric identity is defined by the following equation:
+ *  <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre>
+ * where \c x is the angle in radians.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html sinCos.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 array of input angle in radians
+ * \li \c testOutput stores sum of the squares of sine and cosine values of input angle
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cos_f32()
+ * - arm_sin_f32()
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_sin_cos_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_sin_cos_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   32
+#define DELTA           (0.0001f)
+
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point sin_cos example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+const float32_t testInput_f32[MAX_BLOCKSIZE] =
+{
+  -1.244916875853235400,  -4.793533929171324800,   0.360705030233248850,   0.827929644170887320,  -3.299532218312426900,   3.427441903227623800,   3.422401784294607700,  -0.108308165334010680,
+   0.941943896490312180,   0.502609575000365850,  -0.537345278736373500,   2.088817392965764500,  -1.693168684143455700,   6.283185307179590700,  -0.392545884746175080,   0.327893095115825040,
+   3.070147440456292300,   0.170611405884662230,  -0.275275082396073010,  -2.395492805446796300,   0.847311163536506600,  -3.845517018083148800,   2.055818378415868300,   4.672594161978930800,
+  -1.990923030266425800,   2.469305197656249500,   3.609002606064021000,  -4.586736582331667500,  -4.147080139136136300,   1.643756718868359500,  -1.150866392366494800,   1.985805026477433800
+
+
+};
+
+const float32_t testRefOutput_f32 = 1.000000000;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t  testOutput;
+float32_t  cosOutput;
+float32_t  sinOutput;
+float32_t  cosSquareOutput;
+float32_t  sinSquareOutput;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+arm_status status;
+
+int32_t main(void)
+{
+  float32_t diff;
+  uint32_t i;
+
+  for(i=0; i< blockSize; i++)
+  {
+    cosOutput = arm_cos_f32(testInput_f32[i]);
+    sinOutput = arm_sin_f32(testInput_f32[i]);
+
+    arm_mult_f32(&cosOutput, &cosOutput, &cosSquareOutput, 1);
+    arm_mult_f32(&sinOutput, &sinOutput, &sinSquareOutput, 1);
+
+    arm_add_f32(&cosSquareOutput, &sinSquareOutput, &testOutput, 1);
+
+    /* absolute value of difference between ref and test */
+    diff = fabsf(testRefOutput_f32 - testOutput);
+
+    /* Comparison of sin_cos value with reference */
+    if(diff > DELTA)
+    {
+       status = ARM_MATH_TEST_FAILURE;
+    }
+
+    if( status == ARM_MATH_TEST_FAILURE)
+    {
+       while(1);
+    }
+
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt b/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt
new file mode 100644
index 0000000..931d02d
--- /dev/null
+++ b/DSP_Lib/Examples/arm_variance_example/ARM/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_variance_example for
+  Cortex-M0, Cortex-M3 and Cortex-M4 with FPU
+
+The example is configured for uVision Simulator
diff --git a/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c b/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c
new file mode 100644
index 0000000..f2188e3
--- /dev/null
+++ b/DSP_Lib/Examples/arm_variance_example/ARM/arm_variance_example_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_variance_example_f32.c
+*
+* Description:   Example code demonstrating variance calculation of input sequence.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup VarianceExample Variance Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Basic Math and Support Functions to calculate the variance of an
+ * input sequence with N samples. Uniformly distributed white noise is taken as input.
+ *
+ * \par Algorithm:
+ * \par
+ * The variance of a sequence is the mean of the squared deviation of the sequence from its mean.
+ * \par
+ * This is denoted by the following equation:
+ * <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre>
+ * where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and
+ * <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>.
+ * \par
+ * The mean value <code>x'</code> is defined as:
+ * <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Variance.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c wire1, \c wir2, \c wire3 temporary buffers
+ * \li \c blockSize number of samples processed at a time
+ * \li \c refVarianceOut reference variance value
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_dot_prod_f32()
+ * - arm_mult_f32()
+ * - arm_sub_f32()
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_variance_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_variance_example_f32.c
+  */
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   32
+#define DELTA           (0.000001f)
+
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t wire1[MAX_BLOCKSIZE];
+float32_t wire2[MAX_BLOCKSIZE];
+float32_t wire3[MAX_BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Variance example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+float32_t testInput_f32[32] =
+{
+  -0.432564811528221,  -1.665584378238097,   0.125332306474831,   0.287676420358549,
+  -1.146471350681464,   1.190915465642999,   1.189164201652103,  -0.037633276593318,
+   0.327292361408654,   0.174639142820925,  -0.186708577681439,   0.725790548293303,
+  -0.588316543014189,   2.183185818197101,  -0.136395883086596,   0.113931313520810,
+   1.066768211359189,   0.059281460523605,  -0.095648405483669,  -0.832349463650022,
+   0.294410816392640,  -1.336181857937804,   0.714324551818952,   1.623562064446271,
+  -0.691775701702287,   0.857996672828263,   1.254001421602532,  -1.593729576447477,
+  -1.440964431901020,   0.571147623658178,  -0.399885577715363,   0.689997375464345
+
+};
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t  refVarianceOut = 0.903941793931839;
+
+/* ----------------------------------------------------------------------
+* Variance calculation test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  arm_status status;
+  float32_t mean, oneByBlockSize;
+  float32_t variance;
+  float32_t diff;
+
+  status = ARM_MATH_SUCCESS;
+
+  /* Calculation of mean value of input */
+
+  /* x' = 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */
+
+  /* Fill wire1 buffer with 1.0 value */
+  arm_fill_f32(1.0,  wire1, blockSize);
+
+  /* Calculate the dot product of wire1 and wire2 */
+  /* (x(0)* 1 + x(1) * 1 + ...+ x(n-1) * 1) */
+  arm_dot_prod_f32(testInput_f32, wire1, blockSize, &mean);
+
+  /* Calculation of 1/blockSize */
+  oneByBlockSize = 1.0 / (blockSize);
+
+  /* 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1)  */
+  arm_mult_f32(&mean, &oneByBlockSize, &mean, 1);
+
+
+  /* Calculation of variance value of input */
+
+  /* (1/blockSize) * (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+
+  /* Fill wire2 with mean value x' */
+  arm_fill_f32(mean,  wire2, blockSize);
+
+  /* wire3 contains (x-x') */
+  arm_sub_f32(testInput_f32, wire2, wire3, blockSize);
+
+  /* wire2 contains (x-x') */
+  arm_copy_f32(wire3, wire2, blockSize);
+
+  /* (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+  arm_dot_prod_f32(wire2, wire3, blockSize, &variance);
+
+    /* Calculation of 1/blockSize */
+  oneByBlockSize = 1.0 / (blockSize - 1);
+
+  /* Calculation of variance */
+  arm_mult_f32(&variance, &oneByBlockSize, &variance, 1);
+
+  /* absolute value of difference between ref and test */
+  diff = fabsf(refVarianceOut - variance);
+
+  /* Comparison of variance value with reference */
+  if(diff > DELTA)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  if( status != ARM_MATH_SUCCESS)
+  {
+    while(1);
+  }
+
+  while(1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c
new file mode 100644
index 0000000..66b10df
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_abs_f32.c
@@ -0,0 +1,165 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_abs_f32.c    
+*    
+* Description:	Vector absolute value.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include <math.h>
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup BasicAbs Vector Absolute Value        
+ *        
+ * Computes the absolute value of a vector on an element-by-element basis.        
+ *        
+ * <pre>        
+ *     pDst[n] = abs(pSrc[n]),   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * The functions support in-place computation allowing the source and
+ * destination pointers to reference the same memory buffer.
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**        
+ * @addtogroup BasicAbs        
+ * @{        
+ */
+
+/**        
+ * @brief Floating-point vector absolute value.        
+ * @param[in]       *pSrc points to the input buffer        
+ * @param[out]      *pDst points to the output buffer        
+ * @param[in]       blockSize number of samples in each vector        
+ * @return none.        
+ */
+
+void arm_abs_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;                  /* temporary variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Calculate absolute and then store the results in the destination buffer. */
+    /* read sample from source */
+    in1 = *pSrc;
+    in2 = *(pSrc + 1);
+    in3 = *(pSrc + 2);
+
+    /* find absolute value */
+    in1 = fabsf(in1);
+
+    /* read sample from source */
+    in4 = *(pSrc + 3);
+
+    /* find absolute value */
+    in2 = fabsf(in2);
+
+    /* read sample from source */
+    *pDst = in1;
+
+    /* find absolute value */
+    in3 = fabsf(in3);
+
+    /* find absolute value */
+    in4 = fabsf(in4);
+
+    /* store result to destination */
+    *(pDst + 1) = in2;
+
+    /* store result to destination */
+    *(pDst + 2) = in3;
+
+    /* store result to destination */
+    *(pDst + 3) = in4;
+
+
+    /* Update source pointer to process next sampels */
+    pSrc += 4u;
+
+    /* Update destination pointer to process next sampels */
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY   */
+
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Calculate absolute and then store the results in the destination buffer. */
+    *pDst++ = fabsf(*pSrc++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of BasicAbs group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c
new file mode 100644
index 0000000..f0af091
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q15.c
@@ -0,0 +1,179 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_abs_q15.c    
+*    
+* Description:	Q15 vector absolute value.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicAbs    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 vector absolute value.    
+ * @param[in]       *pSrc points to the input buffer    
+ * @param[out]      *pDst points to the output buffer    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.    
+ */
+
+void arm_abs_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  __SIMD32_TYPE *simd;
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t in1;                                     /* Input value1 */
+  q15_t in2;                                     /* Input value2 */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  simd = __SIMD32_CONST(pDst);
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Read two inputs */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+
+
+    /* Store the Absolute result in the destination buffer by packing the two values, in a single cycle */
+#ifndef  ARM_MATH_BIG_ENDIAN
+    *simd++ =
+      __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)),
+              ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16);
+
+#else
+
+
+    *simd++ =
+      __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)),
+              ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+    *simd++ =
+      __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)),
+              ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16);
+
+#else
+
+
+    *simd++ =
+      __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)),
+              ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+  pDst = (q15_t *)simd;
+	
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Read the input */
+    in1 = *pSrc++;
+
+    /* Calculate absolute value of input and then store the result in the destination buffer. */
+    *pDst++ = (in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t in;                                      /* Temporary input variable */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Read the input */
+    in = *pSrc++;
+
+    /* Calculate absolute value of input and then store the result in the destination buffer. */
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of BasicAbs group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c
new file mode 100644
index 0000000..294ba75
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q31.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_abs_q31.c    
+*    
+* Description:	Q31 vector absolute value.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicAbs    
+ * @{    
+ */
+
+
+/**    
+ * @brief Q31 vector absolute value.    
+ * @param[in]       *pSrc points to the input buffer    
+ * @param[out]      *pDst points to the output buffer    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.    
+ */
+
+void arm_abs_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in;                                      /* Input value */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    *pDst++ = (in1 > 0) ? in1 : (q31_t)__QSUB(0, in1);
+    *pDst++ = (in2 > 0) ? in2 : (q31_t)__QSUB(0, in2);
+    *pDst++ = (in3 > 0) ? in3 : (q31_t)__QSUB(0, in3);
+    *pDst++ = (in4 > 0) ? in4 : (q31_t)__QSUB(0, in4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY   */
+
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Calculate absolute value of the input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */
+    in = *pSrc++;
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of BasicAbs group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c
new file mode 100644
index 0000000..54c6f71
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_abs_q7.c
@@ -0,0 +1,157 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_abs_q7.c    
+*    
+* Description:	Q7 vector absolute value.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @addtogroup BasicAbs        
+ * @{        
+ */
+
+/**        
+ * @brief Q7 vector absolute value.        
+ * @param[in]       *pSrc points to the input buffer        
+ * @param[out]      *pDst points to the output buffer        
+ * @param[in]       blockSize number of samples in each vector        
+ * @return none.        
+ *    
+ * \par Conditions for optimum performance    
+ *  Input and output buffers should be aligned by 32-bit    
+ *    
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F.        
+ */
+
+void arm_abs_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q7_t in;                                       /* Input value1 */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;                      /* temporary input variables */
+  q31_t out1, out2, out3, out4;                  /* temporary output variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Read inputs */
+    in1 = (q31_t) * pSrc;
+    in2 = (q31_t) * (pSrc + 1);
+    in3 = (q31_t) * (pSrc + 2);
+
+    /* find absolute value */
+    out1 = (in1 > 0) ? in1 : (q31_t)__QSUB8(0, in1);
+
+    /* read input */
+    in4 = (q31_t) * (pSrc + 3);
+
+    /* find absolute value */
+    out2 = (in2 > 0) ? in2 : (q31_t)__QSUB8(0, in2);
+
+    /* store result to destination */
+    *pDst = (q7_t) out1;
+
+    /* find absolute value */
+    out3 = (in3 > 0) ? in3 : (q31_t)__QSUB8(0, in3);
+
+    /* find absolute value */
+    out4 = (in4 > 0) ? in4 : (q31_t)__QSUB8(0, in4);
+
+    /* store result to destination */
+    *(pDst + 1) = (q7_t) out2;
+
+    /* store result to destination */
+    *(pDst + 2) = (q7_t) out3;
+
+    /* store result to destination */
+    *(pDst + 3) = (q7_t) out4;
+
+    /* update pointers to process next samples */
+    pSrc += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = blockSize;
+
+#endif /* #define ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = |A| */
+    /* Read the input */
+    in = *pSrc++;
+
+    /* Store the Absolute result in the destination buffer */
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? 0x7f : -in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of BasicAbs group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c
new file mode 100644
index 0000000..3430e83
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_add_f32.c
@@ -0,0 +1,150 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_add_f32.c    
+*    
+* Description:	Floating-point vector addition.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup BasicAdd Vector Addition        
+ *        
+ * Element-by-element addition of two vectors.        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup BasicAdd        
+ * @{        
+ */
+
+/**        
+ * @brief Floating-point vector addition.        
+ * @param[in]       *pSrcA points to the first input vector        
+ * @param[in]       *pSrcB points to the second input vector        
+ * @param[out]      *pDst points to the output vector        
+ * @param[in]       blockSize number of samples in each vector        
+ * @return none.        
+ */
+
+void arm_add_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inA1, inA2, inA3, inA4;              /* temporary input variabels */
+  float32_t inB1, inB2, inB3, inB4;              /* temporary input variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+
+    /* read four inputs from sourceA and four inputs from sourceB */
+    inA1 = *pSrcA;
+    inB1 = *pSrcB;
+    inA2 = *(pSrcA + 1);
+    inB2 = *(pSrcB + 1);
+    inA3 = *(pSrcA + 2);
+    inB3 = *(pSrcB + 2);
+    inA4 = *(pSrcA + 3);
+    inB4 = *(pSrcB + 3);
+
+    /* C = A + B */
+    /* add and store result to destination */
+    *pDst = inA1 + inB1;
+    *(pDst + 1) = inA2 + inB2;
+    *(pDst + 2) = inA3 + inB3;
+    *(pDst + 3) = inA4 + inB4;
+
+    /* update pointers to process next samples */
+    pSrcA += 4u;
+    pSrcB += 4u;
+    pDst += 4u;
+
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of BasicAdd group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c
new file mode 100644
index 0000000..570aa4c
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_add_q15.c
@@ -0,0 +1,140 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_add_q15.c    
+*    
+* Description:	Q15 vector addition    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicAdd    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 vector addition.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+void arm_add_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inB1, inB2;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    inA1 = *__SIMD32(pSrcA)++;
+    inA2 = *__SIMD32(pSrcA)++;
+    inB1 = *__SIMD32(pSrcB)++;
+    inB2 = *__SIMD32(pSrcB)++;
+
+    *__SIMD32(pDst)++ = __QADD16(inA1, inB1);
+    *__SIMD32(pDst)++ = __QADD16(inA2, inB2);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ + *pSrcB++), 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+}
+
+/**    
+ * @} end of BasicAdd group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c
new file mode 100644
index 0000000..63d83a8
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_add_q31.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_add_q31.c    
+*    
+* Description:	Q31 vector addition.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicAdd    
+ * @{    
+ */
+
+
+/**    
+ * @brief Q31 vector addition.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
+ */
+
+void arm_add_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inA3, inA4;
+  q31_t inB1, inB2, inB3, inB4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    inA1 = *pSrcA++;
+    inA2 = *pSrcA++;
+    inB1 = *pSrcB++;
+    inB2 = *pSrcB++;
+
+    inA3 = *pSrcA++;
+    inA4 = *pSrcA++;
+    inB3 = *pSrcB++;
+    inB4 = *pSrcB++;
+
+    *pDst++ = __QADD(inA1, inB1);
+    *pDst++ = __QADD(inA2, inB2);
+    *pDst++ = __QADD(inA3, inB3);
+    *pDst++ = __QADD(inA4, inB4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ + *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of BasicAdd group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c
new file mode 100644
index 0000000..66e1e23
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_add_q7.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_add_q7.c    
+*    
+* Description:	Q7 vector addition.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicAdd    
+ * @{    
+ */
+
+/**    
+ * @brief Q7 vector addition.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
+ */
+
+void arm_add_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (q7_t) __SSAT(*pSrcA++ + *pSrcB++, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + B */
+    /* Add and then store the results in the destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ + *pSrcB++, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+}
+
+/**    
+ * @} end of BasicAdd group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c
new file mode 100644
index 0000000..d7f7bdc
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_f32.c
@@ -0,0 +1,135 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_dot_prod_f32.c    
+*    
+* Description:	Floating-point dot product.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath
+ */
+
+/**
+ * @defgroup dot_prod Vector Dot Product
+ *
+ * Computes the dot product of two vectors.
+ * The vectors are multiplied element-by-element and then summed.
+ *
+ * <pre>
+ *     sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
+ * </pre>     
+ *
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.    
+ */
+
+/**    
+ * @addtogroup dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief Dot product of floating-point vectors.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @param[out]      *result output result returned here    
+ * @return none.    
+ */
+
+
+void arm_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t blockSize,
+  float32_t * result)
+{
+  float32_t sum = 0.0f;                          /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the result in a temporary buffer */
+    sum += (*pSrcA++) * (*pSrcB++);
+    sum += (*pSrcA++) * (*pSrcB++);
+    sum += (*pSrcA++) * (*pSrcB++);
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the result in a temporary buffer. */
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+  /* Store the result back in the destination buffer */
+  *result = sum;
+}
+
+/**    
+ * @} end of dot_prod group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c
new file mode 100644
index 0000000..6f04ed1
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q15.c
@@ -0,0 +1,140 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_dot_prod_q15.c    
+*    
+* Description:	Q15 dot product.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief Dot product of Q15 vectors.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @param[out]      *result output result returned here    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these    
+ * results are added to a 64-bit accumulator in 34.30 format.    
+ * Nonsaturating additions are used and given that there are 33 guard bits in the accumulator    
+ * there is no risk of overflow.    
+ * The return result is in 34.30 format.    
+ */
+
+void arm_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result)
+{
+  q63_t sum = 0;                                 /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the result in a temporary buffer. */
+    sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum);
+    sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the results in a temporary buffer. */
+    sum = __SMLALD(*pSrcA++, *pSrcB++, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the results in a temporary buffer. */
+    sum += (q63_t) ((q31_t) * pSrcA++ * *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Store the result in the destination buffer in 34.30 format */
+  *result = sum;
+
+}
+
+/**    
+ * @} end of dot_prod group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c
new file mode 100644
index 0000000..b199f8b
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q31.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_dot_prod_q31.c    
+*    
+* Description:	Q31 dot product.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief Dot product of Q31 vectors.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @param[out]      *result output result returned here    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these    
+ * are truncated to 2.48 format by discarding the lower 14 bits.    
+ * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.    
+ * There are 15 guard bits in the accumulator and there is no risk of overflow as long as    
+ * the length of the vectors is less than 2^16 elements.    
+ * The return result is in 16.48 format.    
+ */
+
+void arm_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result)
+{
+  q63_t sum = 0;                                 /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inA3, inA4;
+  q31_t inB1, inB2, inB3, inB4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the result in a temporary buffer. */
+    inA1 = *pSrcA++;
+    inA2 = *pSrcA++;
+    inA3 = *pSrcA++;
+    inA4 = *pSrcA++;
+    inB1 = *pSrcB++;
+    inB2 = *pSrcB++;
+    inB3 = *pSrcB++;
+    inB4 = *pSrcB++;
+
+    sum += ((q63_t) inA1 * inB1) >> 14u;
+    sum += ((q63_t) inA2 * inB2) >> 14u;
+    sum += ((q63_t) inA3 * inB3) >> 14u;
+    sum += ((q63_t) inA4 * inB4) >> 14u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Calculate dot product and then store the result in a temporary buffer. */
+    sum += ((q63_t) * pSrcA++ * *pSrcB++) >> 14u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Store the result in the destination buffer in 16.48 format */
+  *result = sum;
+}
+
+/**    
+ * @} end of dot_prod group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c
new file mode 100644
index 0000000..0ad6ae4
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_dot_prod_q7.c
@@ -0,0 +1,159 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_dot_prod_q7.c    
+*    
+* Description:	Q7 dot product.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief Dot product of Q7 vectors.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @param[out]      *result output result returned here    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these    
+ * results are added to an accumulator in 18.14 format.    
+ * Nonsaturating additions are used and there is no danger of wrap around as long as    
+ * the vectors are less than 2^18 elements long.    
+ * The return result is in 18.14 format.    
+ */
+
+void arm_dot_prod_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  uint32_t blockSize,
+  q31_t * result)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+  q31_t sum = 0;                                 /* Temporary variables to store output */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t input1, input2;                          /* Temporary variables to store input */
+  q31_t inA1, inA2, inB1, inB2;                  /* Temporary variables to store input */
+
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* read 4 samples at a time from sourceA */
+    input1 = *__SIMD32(pSrcA)++;
+    /* read 4 samples at a time from sourceB */
+    input2 = *__SIMD32(pSrcB)++;
+
+    /* extract two q7_t samples to q15_t samples */
+    inA1 = __SXTB16(__ROR(input1, 8));
+    /* extract reminaing two samples */
+    inA2 = __SXTB16(input1);
+    /* extract two q7_t samples to q15_t samples */
+    inB1 = __SXTB16(__ROR(input2, 8));
+    /* extract reminaing two samples */
+    inB2 = __SXTB16(input2);
+
+    /* multiply and accumulate two samples at a time */
+    sum = __SMLAD(inA1, inB1, sum);
+    sum = __SMLAD(inA2, inB2, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Dot product and then store the results in a temporary buffer. */
+    sum = __SMLAD(*pSrcA++, *pSrcB++, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+    /* Dot product and then store the results in a temporary buffer. */
+    sum += (q31_t) ((q15_t) * pSrcA++ * *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  /* Store the result in the destination buffer in 18.14 format */
+  *result = sum;
+}
+
+/**    
+ * @} end of dot_prod group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c
new file mode 100644
index 0000000..27eca68
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_mult_f32.c
@@ -0,0 +1,174 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mult_f32.c    
+*    
+* Description:	Floating-point vector multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup BasicMult Vector Multiplication        
+ *        
+ * Element-by-element multiplication of two vectors.        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup BasicMult        
+ * @{        
+ */
+
+/**        
+ * @brief Floating-point vector multiplication.        
+ * @param[in]       *pSrcA points to the first input vector        
+ * @param[in]       *pSrcB points to the second input vector        
+ * @param[out]      *pDst points to the output vector        
+ * @param[in]       blockSize number of samples in each vector        
+ * @return none.        
+ */
+
+void arm_mult_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counters */
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inA1, inA2, inA3, inA4;              /* temporary input variables */
+  float32_t inB1, inB2, inB3, inB4;              /* temporary input variables */
+  float32_t out1, out2, out3, out4;              /* temporary output variables */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and store the results in output buffer */
+    /* read sample from sourceA */
+    inA1 = *pSrcA;
+    /* read sample from sourceB */
+    inB1 = *pSrcB;
+    /* read sample from sourceA */
+    inA2 = *(pSrcA + 1);
+    /* read sample from sourceB */
+    inB2 = *(pSrcB + 1);
+
+    /* out = sourceA * sourceB */
+    out1 = inA1 * inB1;
+
+    /* read sample from sourceA */
+    inA3 = *(pSrcA + 2);
+    /* read sample from sourceB */
+    inB3 = *(pSrcB + 2);
+
+    /* out = sourceA * sourceB */
+    out2 = inA2 * inB2;
+
+    /* read sample from sourceA */
+    inA4 = *(pSrcA + 3);
+
+    /* store result to destination buffer */
+    *pDst = out1;
+
+    /* read sample from sourceB */
+    inB4 = *(pSrcB + 3);
+
+    /* out = sourceA * sourceB */
+    out3 = inA3 * inB3;
+
+    /* store result to destination buffer */
+    *(pDst + 1) = out2;
+
+    /* out = sourceA * sourceB */
+    out4 = inA4 * inB4;
+    /* store result to destination buffer */
+    *(pDst + 2) = out3;
+    /* store result to destination buffer */
+    *(pDst + 3) = out4;
+
+
+    /* update pointers to process next samples */
+    pSrcA += 4u;
+    pSrcB += 4u;
+    pDst += 4u;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and store the results in output buffer */
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of BasicMult group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c
new file mode 100644
index 0000000..99e36bb
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q15.c
@@ -0,0 +1,154 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mult_q15.c    
+*    
+* Description:	Q15 vector multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief           Q15 vector multiplication    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+void arm_mult_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inB1, inB2;                  /* temporary input variables */
+  q15_t out1, out2, out3, out4;                  /* temporary output variables */
+  q31_t mul1, mul2, mul3, mul4;                  /* temporary variables */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* read two samples at a time from sourceA */
+    inA1 = *__SIMD32(pSrcA)++;
+    /* read two samples at a time from sourceB */
+    inB1 = *__SIMD32(pSrcB)++;
+    /* read two samples at a time from sourceA */
+    inA2 = *__SIMD32(pSrcA)++;
+    /* read two samples at a time from sourceB */
+    inB2 = *__SIMD32(pSrcB)++;
+
+    /* multiply mul = sourceA * sourceB */
+    mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul2 = (q31_t) ((q15_t) inA1 * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16));
+    mul4 = (q31_t) ((q15_t) inA2 * (q15_t) inB2);
+
+    /* saturate result to 16 bit */
+    out1 = (q15_t) __SSAT(mul1 >> 15, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15, 16);
+
+    /* store the result */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16);
+    *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16);
+
+#else
+
+    *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16);
+    *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and store the result in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicMult group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c
new file mode 100644
index 0000000..ca8b07b
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q31.c
@@ -0,0 +1,160 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mult_q31.c    
+*    
+* Description:	Q31 vector multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicMult    
+ * @{    
+ */
+
+/**    
+ * @brief Q31 vector multiplication.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
+ */
+
+void arm_mult_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inA3, inA4;                  /* temporary input variables */
+  q31_t inB1, inB2, inB3, inB4;                  /* temporary input variables */
+  q31_t out1, out2, out3, out4;                  /* temporary output variables */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and then store the results in the destination buffer. */
+    inA1 = *pSrcA++;
+    inA2 = *pSrcA++;
+    inA3 = *pSrcA++;
+    inA4 = *pSrcA++;
+    inB1 = *pSrcB++;
+    inB2 = *pSrcB++;
+    inB3 = *pSrcB++;
+    inB4 = *pSrcB++;
+
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB2) >> 32;
+    out3 = ((q63_t) inA3 * inB3) >> 32;
+    out4 = ((q63_t) inA4 * inB4) >> 32;
+
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+    out3 = __SSAT(out3, 31);
+    out4 = __SSAT(out4, 31);
+
+    *pDst++ = out1 << 1u;
+    *pDst++ = out2 << 1u;
+    *pDst++ = out3 << 1u;
+    *pDst++ = out4 << 1u;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+  
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and then store the results in the destination buffer. */
+    inA1 = *pSrcA++;
+    inB1 = *pSrcB++;
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out1 = __SSAT(out1, 31);
+    *pDst++ = out1 << 1u;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and then store the results in the destination buffer. */
+    *pDst++ =
+      (q31_t) clip_q63_to_q31(((q63_t) (*pSrcA++) * (*pSrcB++)) >> 31);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+  
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+}
+
+/**    
+ * @} end of BasicMult group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c
new file mode 100644
index 0000000..c2b50b6
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_mult_q7.c
@@ -0,0 +1,127 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mult_q7.c    
+*    
+* Description:	Q7 vector multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicMult    
+ * @{    
+ */
+
+/**    
+ * @brief           Q7 vector multiplication    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
+ */
+
+void arm_mult_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q7_t out1, out2, out3, out4;                   /* Temporary variables to store the product */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and store the results in temporary variables */
+    out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+
+    /* Store the results of 4 inputs in the destination buffer in single cycle by packing */
+    *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * B */
+    /* Multiply the inputs and store the result in the destination buffer */
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicMult group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c
new file mode 100644
index 0000000..4a260b0
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_negate_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_negate_f32.c    
+*    
+* Description:	Negates floating-point vectors.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup negate Vector Negate        
+ *        
+ * Negates the elements of a vector.        
+ *        
+ * <pre>        
+ *     pDst[n] = -pSrc[n],   0 <= n < blockSize.        
+ * </pre>        
+ *
+ * The functions support in-place computation allowing the source and
+ * destination pointers to reference the same memory buffer.
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**        
+ * @addtogroup negate        
+ * @{        
+ */
+
+/**        
+ * @brief  Negates the elements of a floating-point vector.        
+ * @param[in]  *pSrc points to the input vector        
+ * @param[out]  *pDst points to the output vector        
+ * @param[in]  blockSize number of samples in the vector        
+ * @return none.        
+ */
+
+void arm_negate_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;                  /* temporary variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* read inputs from source */
+    in1 = *pSrc;
+    in2 = *(pSrc + 1);
+    in3 = *(pSrc + 2);
+    in4 = *(pSrc + 3);
+
+    /* negate the input */
+    in1 = -in1;
+    in2 = -in2;
+    in3 = -in3;
+    in4 = -in4;
+
+    /* store the result to destination */
+    *pDst = in1;
+    *(pDst + 1) = in2;
+    *(pDst + 2) = in3;
+    *(pDst + 3) = in4;
+
+    /* update pointers to process next samples */
+    pSrc += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Negate and then store the results in the destination buffer. */
+    *pDst++ = -*pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of negate group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c
new file mode 100644
index 0000000..b130e7b
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q15.c
@@ -0,0 +1,142 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_negate_q15.c    
+*    
+* Description:	Negates Q15 vectors.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @addtogroup negate        
+ * @{        
+ */
+
+/**        
+ * @brief  Negates the elements of a Q15 vector.        
+ * @param[in]  *pSrc points to the input vector        
+ * @param[out]  *pDst points to the output vector        
+ * @param[in]  blockSize number of samples in the vector        
+ * @return none.        
+ *    
+ * \par Conditions for optimum performance    
+ *  Input and output buffers should be aligned by 32-bit    
+ *    
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.        
+ */
+
+void arm_negate_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q15_t in;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in1, in2;                                /* Temporary variables */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Read two inputs at a time */
+    in1 = _SIMD32_OFFSET(pSrc);
+    in2 = _SIMD32_OFFSET(pSrc + 2);
+
+    /* negate two samples at a time */
+    in1 = __QSUB16(0, in1);
+
+    /* negate two samples at a time */
+    in2 = __QSUB16(0, in2);
+
+    /* store the result to destination 2 samples at a time */
+    _SIMD32_OFFSET(pDst) = in1;
+    /* store the result to destination 2 samples at a time */
+    _SIMD32_OFFSET(pDst + 2) = in2;
+
+
+    /* update pointers to process next samples */
+    pSrc += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Negate and then store the result in the destination buffer. */
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of negate group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c
new file mode 100644
index 0000000..470e151
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q31.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_negate_q31.c    
+*    
+* Description:	Negates Q31 vectors.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup negate    
+ * @{    
+ */
+
+/**    
+ * @brief  Negates the elements of a Q31 vector.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.    
+ */
+
+void arm_negate_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t in;                                      /* Temporary variable */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Negate and then store the results in the destination buffer. */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    *pDst++ = __QSUB(0, in1);
+    *pDst++ = __QSUB(0, in2);
+    *pDst++ = __QSUB(0, in3);
+    *pDst++ = __QSUB(0, in4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Negate and then store the result in the destination buffer. */
+    in = *pSrc++;
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of negate group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c
new file mode 100644
index 0000000..e1ba06d
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_negate_q7.c
@@ -0,0 +1,125 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_negate_q7.c    
+*    
+* Description:	Negates Q7 vectors.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup negate    
+ * @{    
+ */
+
+/**    
+ * @brief  Negates the elements of a Q7 vector.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F.    
+ */
+
+void arm_negate_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q7_t in;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t input;                                   /* Input values1-4 */
+  q31_t zero = 0x00000000;
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Read four inputs */
+    input = *__SIMD32(pSrc)++;
+
+    /* Store the Negated results in the destination buffer in a single cycle by packing the results */
+    *__SIMD32(pDst)++ = __QSUB8(zero, input);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = -A */
+    /* Negate and then store the results in the destination buffer. */ \
+      in = *pSrc++;
+    *pDst++ = (in == (q7_t) 0x80) ? 0x7f : -in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of negate group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c
new file mode 100644
index 0000000..4f3f593
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_offset_f32.c
@@ -0,0 +1,165 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_offset_f32.c    
+*    
+* Description:	Floating-point vector offset.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup offset Vector Offset        
+ *        
+ * Adds a constant offset to each element of a vector.        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * The functions support in-place computation allowing the source and
+ * destination pointers to reference the same memory buffer.
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**        
+ * @addtogroup offset        
+ * @{        
+ */
+
+/**        
+ * @brief  Adds a constant offset to a floating-point vector.        
+ * @param[in]  *pSrc points to the input vector        
+ * @param[in]  offset is the offset to be added        
+ * @param[out]  *pDst points to the output vector        
+ * @param[in]  blockSize number of samples in the vector        
+ * @return none.        
+ */
+
+
+void arm_offset_f32(
+  float32_t * pSrc,
+  float32_t offset,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination buffer. */
+    /* read samples from source */
+    in1 = *pSrc;
+    in2 = *(pSrc + 1);
+
+    /* add offset to input */
+    in1 = in1 + offset;
+
+    /* read samples from source */
+    in3 = *(pSrc + 2);
+
+    /* add offset to input */
+    in2 = in2 + offset;
+
+    /* read samples from source */
+    in4 = *(pSrc + 3);
+
+    /* add offset to input */
+    in3 = in3 + offset;
+
+    /* store result to destination */
+    *pDst = in1;
+
+    /* add offset to input */
+    in4 = in4 + offset;
+
+    /* store result to destination */
+    *(pDst + 1) = in2;
+
+    /* store result to destination */
+    *(pDst + 2) = in3;
+
+    /* store result to destination */
+    *(pDst + 3) = in4;
+
+    /* update pointers to process next samples */
+    pSrc += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the result in the destination buffer. */
+    *pDst++ = (*pSrc++) + offset;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of offset group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c
new file mode 100644
index 0000000..8124753
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q15.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_offset_q15.c    
+*    
+* Description:	Q15 vector offset.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup offset    
+ * @{    
+ */
+
+/**    
+ * @brief  Adds a constant offset to a Q15 vector.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[in]  offset is the offset to be added    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.    
+ */
+
+void arm_offset_q15(
+  q15_t * pSrc,
+  q15_t offset,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t offset_packed;                           /* Offset packed to 32 bit */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Offset is packed to 32 bit in order to use SIMD32 for addition */
+  offset_packed = __PKHBT(offset, offset, 16);
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination buffer, 2 samples at a time. */
+    *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed);
+    *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination buffer. */
+    *pDst++ = (q15_t) __QADD16(*pSrc++, offset);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination buffer. */
+    *pDst++ = (q15_t) __SSAT(((q31_t) * pSrc++ + offset), 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of offset group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c
new file mode 100644
index 0000000..49516ef
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q31.c
@@ -0,0 +1,140 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_offset_q31.c    
+*    
+* Description:	Q31 vector offset.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup offset    
+ * @{    
+ */
+
+/**    
+ * @brief  Adds a constant offset to a Q31 vector.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[in]  offset is the offset to be added    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.    
+ */
+
+void arm_offset_q31(
+  q31_t * pSrc,
+  q31_t offset,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination buffer. */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    *pDst++ = __QADD(in1, offset);
+    *pDst++ = __QADD(in2, offset);
+    *pDst++ = __QADD(in3, offset);
+    *pDst++ = __QADD(in4, offset);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the result in the destination buffer. */
+    *pDst++ = __QADD(*pSrc++, offset);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the result in the destination buffer. */
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of offset group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c
new file mode 100644
index 0000000..111b9b4
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_offset_q7.c
@@ -0,0 +1,135 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_offset_q7.c    
+*    
+* Description:	Q7 vector offset.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup offset    
+ * @{    
+ */
+
+/**    
+ * @brief  Adds a constant offset to a Q7 vector.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[in]  offset is the offset to be added    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q7 range [0x80 0x7F] are saturated.    
+ */
+
+void arm_offset_q7(
+  q7_t * pSrc,
+  q7_t offset,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t offset_packed;                           /* Offset packed to 32 bit */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Offset is packed to 32 bit in order to use SIMD32 for addition */
+  offset_packed = __PACKq7(offset, offset, offset, offset);
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the results in the destination bufferfor 4 samples at a time. */
+    *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrc)++, offset_packed);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the result in the destination buffer. */
+    *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A + offset */
+    /* Add offset and then store the result in the destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) * pSrc++ + offset, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of offset group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c
new file mode 100644
index 0000000..2c4febc
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_scale_f32.c
@@ -0,0 +1,169 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_scale_f32.c    
+*    
+* Description:	Multiplies a floating-point vector by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup scale Vector Scale        
+ *        
+ * Multiply a vector by a scalar value.  For floating-point data, the algorithm used is:        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * In the fixed-point Q7, Q15, and Q31 functions, <code>scale</code> is represented by        
+ * a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>.        
+ * The shift allows the gain of the scaling operation to exceed 1.0.        
+ * The algorithm used with fixed-point data is:        
+ *        
+ * <pre>        
+ *     pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * The overall scale factor applied to the fixed-point data is        
+ * <pre>        
+ *     scale = scaleFract * 2^shift.        
+ * </pre>        
+ *
+ * The functions support in-place computation allowing the source and destination
+ * pointers to reference the same memory buffer.
+ */
+
+/**        
+ * @addtogroup scale        
+ * @{        
+ */
+
+/**        
+ * @brief Multiplies a floating-point vector by a scalar.        
+ * @param[in]       *pSrc points to the input vector        
+ * @param[in]       scale scale factor to be applied        
+ * @param[out]      *pDst points to the output vector        
+ * @param[in]       blockSize number of samples in the vector        
+ * @return none.        
+ */
+
+
+void arm_scale_f32(
+  float32_t * pSrc,
+  float32_t scale,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;                  /* temporary variabels */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the results in the destination buffer. */
+    /* read input samples from source */
+    in1 = *pSrc;
+    in2 = *(pSrc + 1);
+
+    /* multiply with scaling factor */
+    in1 = in1 * scale;
+
+    /* read input sample from source */
+    in3 = *(pSrc + 2);
+
+    /* multiply with scaling factor */
+    in2 = in2 * scale;
+
+    /* read input sample from source */
+    in4 = *(pSrc + 3);
+
+    /* multiply with scaling factor */
+    in3 = in3 * scale;
+    in4 = in4 * scale;
+    /* store the result to destination */
+    *pDst = in1;
+    *(pDst + 1) = in2;
+    *(pDst + 2) = in3;
+    *(pDst + 3) = in4;
+
+    /* update pointers to process next samples */
+    pSrc += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the result in the destination buffer. */
+    *pDst++ = (*pSrc++) * scale;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of scale group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c
new file mode 100644
index 0000000..4587cce
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q15.c
@@ -0,0 +1,162 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_scale_q15.c    
+*    
+* Description:	Multiplies a Q15 vector by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup scale    
+ * @{    
+ */
+
+/**    
+ * @brief Multiplies a Q15 vector by a scalar.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       scaleFract fractional portion of the scale value    
+ * @param[in]       shift number of bits to shift the result by    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format.    
+ * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.    
+ */
+
+
+void arm_scale_q15(
+  q15_t * pSrc,
+  q15_t scaleFract,
+  int8_t shift,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  int8_t kShift = 15 - shift;                    /* shift to apply after scaling */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q15_t in1, in2, in3, in4;
+  q31_t inA1, inA2;                              /* Temporary variables */
+  q31_t out1, out2, out3, out4;
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Reading 2 inputs from memory */
+    inA1 = *__SIMD32(pSrc)++;
+    inA2 = *__SIMD32(pSrc)++;
+
+    /* C = A * scale */
+    /* Scale the inputs and then store the 2 results in the destination buffer        
+     * in single cycle by packing the outputs */
+    out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+    out2 = (q31_t) ((q15_t) inA1 * scaleFract);
+    out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+    out4 = (q31_t) ((q15_t) inA2 * scaleFract);
+
+    /* apply shifting */
+    out1 = out1 >> kShift;
+    out2 = out2 >> kShift;
+    out3 = out3 >> kShift;
+    out4 = out4 >> kShift;
+
+    /* saturate the output */
+    in1 = (q15_t) (__SSAT(out1, 16));
+    in2 = (q15_t) (__SSAT(out2, 16));
+    in3 = (q15_t) (__SSAT(out3, 16));
+    in4 = (q15_t) (__SSAT(out4, 16));
+
+    /* store the result to destination */
+    *__SIMD32(pDst)++ = __PKHBT(in2, in1, 16);
+    *__SIMD32(pDst)++ = __PKHBT(in4, in3, 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the result in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the result in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT(((q31_t) * pSrc++ * scaleFract) >> kShift, 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of scale group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c
new file mode 100644
index 0000000..2dba5bd
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q31.c
@@ -0,0 +1,239 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_scale_q31.c    
+*    
+* Description:	Multiplies a Q31 vector by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+ * @ingroup groupMath       
+ */
+
+/**       
+ * @addtogroup scale       
+ * @{       
+ */
+
+/**       
+ * @brief Multiplies a Q31 vector by a scalar.       
+ * @param[in]       *pSrc points to the input vector       
+ * @param[in]       scaleFract fractional portion of the scale value       
+ * @param[in]       shift number of bits to shift the result by       
+ * @param[out]      *pDst points to the output vector       
+ * @param[in]       blockSize number of samples in the vector       
+ * @return none.       
+ *       
+ * <b>Scaling and Overflow Behavior:</b>       
+ * \par       
+ * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format.       
+ * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.       
+ */
+
+void arm_scale_q31(
+  q31_t * pSrc,
+  q31_t scaleFract,
+  int8_t shift,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  int8_t kShift = shift + 1;                     /* Shift to apply after scaling */
+  int8_t sign = (kShift & 0x80);
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in, out;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in1, in2, in3, in4;                      /* temporary input variables */
+  q31_t out1, out2, out3, out4;                  /* temporary output variabels */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  if(sign == 0u)
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* read four inputs from source */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      in3 = *(pSrc + 2);
+      in4 = *(pSrc + 3);
+
+      /* multiply input with scaler value */
+      in1 = ((q63_t) in1 * scaleFract) >> 32;
+      in2 = ((q63_t) in2 * scaleFract) >> 32;
+      in3 = ((q63_t) in3 * scaleFract) >> 32;
+      in4 = ((q63_t) in4 * scaleFract) >> 32;
+
+      /* apply shifting */
+      out1 = in1 << kShift;
+      out2 = in2 << kShift;
+
+      /* saturate the results. */
+      if(in1 != (out1 >> kShift))
+        out1 = 0x7FFFFFFF ^ (in1 >> 31);
+
+      if(in2 != (out2 >> kShift))
+        out2 = 0x7FFFFFFF ^ (in2 >> 31);
+
+      out3 = in3 << kShift;
+      out4 = in4 << kShift;
+
+      *pDst = out1;
+      *(pDst + 1) = out2;
+
+      if(in3 != (out3 >> kShift))
+        out3 = 0x7FFFFFFF ^ (in3 >> 31);
+
+      if(in4 != (out4 >> kShift))
+        out4 = 0x7FFFFFFF ^ (in4 >> 31);
+
+      /* Store result destination */
+      *(pDst + 2) = out3;
+      *(pDst + 3) = out4;
+
+      /* Update pointers to process next sampels */
+      pSrc += 4u;
+      pDst += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+  }
+  else
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* read four inputs from source */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      in3 = *(pSrc + 2);
+      in4 = *(pSrc + 3);
+
+      /* multiply input with scaler value */
+      in1 = ((q63_t) in1 * scaleFract) >> 32;
+      in2 = ((q63_t) in2 * scaleFract) >> 32;
+      in3 = ((q63_t) in3 * scaleFract) >> 32;
+      in4 = ((q63_t) in4 * scaleFract) >> 32;
+
+      /* apply shifting */
+      out1 = in1 >> -kShift;
+      out2 = in2 >> -kShift;
+
+      out3 = in3 >> -kShift;
+      out4 = in4 >> -kShift;
+
+      /* Store result destination */
+      *pDst = out1;
+      *(pDst + 1) = out2;
+
+      *(pDst + 2) = out3;
+      *(pDst + 3) = out4;
+
+      /* Update pointers to process next sampels */
+      pSrc += 4u;
+      pDst += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  if(sign == 0)
+  {
+	  while(blkCnt > 0u)
+	  {
+		/* C = A * scale */
+		/* Scale the input and then store the result in the destination buffer. */
+		in = *pSrc++;
+		in = ((q63_t) in * scaleFract) >> 32;
+
+		out = in << kShift;
+		
+		if(in != (out >> kShift))
+			out = 0x7FFFFFFF ^ (in >> 31);
+
+		*pDst++ = out;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	  }
+  }
+  else
+  {
+	  while(blkCnt > 0u)
+	  {
+		/* C = A * scale */
+		/* Scale the input and then store the result in the destination buffer. */
+		in = *pSrc++;
+		in = ((q63_t) in * scaleFract) >> 32;
+
+		out = in >> -kShift;
+
+		*pDst++ = out;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	  }
+  
+  }
+}
+
+/**       
+ * @} end of scale group       
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c
new file mode 100644
index 0000000..330c739
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_scale_q7.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_scale_q7.c    
+*    
+* Description:	Multiplies a Q7 vector by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup scale    
+ * @{    
+ */
+
+/**    
+ * @brief Multiplies a Q7 vector by a scalar.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       scaleFract fractional portion of the scale value    
+ * @param[in]       shift number of bits to shift the result by    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.7 format.    
+ * These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format.    
+ */
+
+void arm_scale_q7(
+  q7_t * pSrc,
+  q7_t scaleFract,
+  int8_t shift,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  int8_t kShift = 7 - shift;                     /* shift to apply after scaling */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q7_t in1, in2, in3, in4, out1, out2, out3, out4;      /* Temporary variables to store input & output */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Reading 4 inputs from memory */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    /* C = A * scale */
+    /* Scale the inputs and then store the results in the temporary variables. */
+    out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8));
+    out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8));
+    out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8));
+    out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8));
+
+    /* Packing the individual outputs into 32bit and storing in    
+     * destination buffer in single write */
+    *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the result in the destination buffer. */
+    *pDst++ = (q7_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 8));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A * scale */
+    /* Scale the input and then store the result in the destination buffer. */
+    *pDst++ = (q7_t) (__SSAT((((q15_t) * pSrc++ * scaleFract) >> kShift), 8));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of scale group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c
new file mode 100644
index 0000000..b2d27e6
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q15.c
@@ -0,0 +1,248 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_shift_q15.c    
+*    
+* Description:	Shifts the elements of a Q15 vector by a specified number of bits.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup shift    
+ * @{    
+ */
+
+/**    
+ * @brief  Shifts the elements of a Q15 vector a specified number of bits.    
+ * @param[in]  *pSrc points to the input vector    
+ * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.    
+ * @param[out]  *pDst points to the output vector    
+ * @param[in]  blockSize number of samples in the vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+void arm_shift_q15(
+  q15_t * pSrc,
+  int8_t shiftBits,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  uint8_t sign;                                  /* Sign of shiftBits */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t in1, in2;                                /* Temporary variables */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Getting the sign of shiftBits */
+  sign = (shiftBits & 0x80);
+
+  /* If the shift value is positive then do right shift else left shift */
+  if(sign == 0u)
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* Read 2 inputs */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+      /* C = A << shiftBits */
+      /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16),
+                                  __SSAT((in2 << shiftBits), 16), 16);
+
+#else
+
+      *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16),
+                                  __SSAT((in1 << shiftBits), 16), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16),
+                                  __SSAT((in2 << shiftBits), 16), 16);
+
+#else
+
+      *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16),
+                                  __SSAT((in1 << shiftBits), 16), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A << shiftBits */
+      /* Shift and then store the results in the destination buffer. */
+      *pDst++ = __SSAT((*pSrc++ << shiftBits), 16);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* Read 2 inputs */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+      /* C = A >> shiftBits */
+      /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits),
+                                  (in2 >> -shiftBits), 16);
+
+#else
+
+      *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits),
+                                  (in1 >> -shiftBits), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits),
+                                  (in2 >> -shiftBits), 16);
+
+#else
+
+      *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits),
+                                  (in1 >> -shiftBits), 16);
+
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A >> shiftBits */
+      /* Shift the inputs and then store the results in the destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Getting the sign of shiftBits */
+  sign = (shiftBits & 0x80);
+
+  /* If the shift value is positive then do right shift else left shift */
+  if(sign == 0u)
+  {
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A << shiftBits */
+      /* Shift and then store the results in the destination buffer. */
+      *pDst++ = __SSAT(((q31_t) * pSrc++ << shiftBits), 16);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A >> shiftBits */
+      /* Shift the inputs and then store the results in the destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of shift group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c
new file mode 100644
index 0000000..5990491
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q31.c
@@ -0,0 +1,203 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_shift_q31.c    
+*    
+* Description:	Shifts the elements of a Q31 vector by a specified number of bits.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+/**        
+ * @defgroup shift Vector Shift        
+ *        
+ * Shifts the elements of a fixed-point vector by a specified number of bits.        
+ * There are separate functions for Q7, Q15, and Q31 data types.        
+ * The underlying algorithm used is:        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * If <code>shift</code> is positive then the elements of the vector are shifted to the left.        
+ * If <code>shift</code> is negative then the elements of the vector are shifted to the right.        
+ *
+ * The functions support in-place computation allowing the source and destination
+ * pointers to reference the same memory buffer.
+ */
+
+/**        
+ * @addtogroup shift        
+ * @{        
+ */
+
+/**        
+ * @brief  Shifts the elements of a Q31 vector a specified number of bits.        
+ * @param[in]  *pSrc points to the input vector        
+ * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.        
+ * @param[out]  *pDst points to the output vector        
+ * @param[in]  blockSize number of samples in the vector        
+ * @return none.        
+ *        
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.        
+ */
+
+void arm_shift_q31(
+  q31_t * pSrc,
+  int8_t shiftBits,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  uint8_t sign = (shiftBits & 0x80);             /* Sign of shiftBits */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
+  q31_t out1, out2, out3, out4;                  /* Temporary output variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+
+  if(sign == 0u)
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C = A  << shiftBits */
+      /* Shift the input and then store the results in the destination buffer. */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      out1 = in1 << shiftBits;
+      in3 = *(pSrc + 2);
+      out2 = in2 << shiftBits;
+      in4 = *(pSrc + 3);
+      if(in1 != (out1 >> shiftBits))
+        out1 = 0x7FFFFFFF ^ (in1 >> 31);
+
+      if(in2 != (out2 >> shiftBits))
+        out2 = 0x7FFFFFFF ^ (in2 >> 31);
+
+      *pDst = out1;
+      out3 = in3 << shiftBits;
+      *(pDst + 1) = out2;
+      out4 = in4 << shiftBits;
+
+      if(in3 != (out3 >> shiftBits))
+        out3 = 0x7FFFFFFF ^ (in3 >> 31);
+
+      if(in4 != (out4 >> shiftBits))
+        out4 = 0x7FFFFFFF ^ (in4 >> 31);
+
+      *(pDst + 2) = out3;
+      *(pDst + 3) = out4;
+
+      /* Update destination pointer to process next sampels */
+      pSrc += 4u;
+      pDst += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C = A >>  shiftBits */
+      /* Shift the input and then store the results in the destination buffer. */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      in3 = *(pSrc + 2);
+      in4 = *(pSrc + 3);
+
+      *pDst = (in1 >> -shiftBits);
+      *(pDst + 1) = (in2 >> -shiftBits);
+      *(pDst + 2) = (in3 >> -shiftBits);
+      *(pDst + 3) = (in4 >> -shiftBits);
+
+
+      pSrc += 4u;
+      pDst += 4u;
+
+      blkCnt--;
+    }
+
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A (>> or <<) shiftBits */
+    /* Shift the input and then store the result in the destination buffer. */
+    *pDst++ = (sign == 0u) ? clip_q63_to_q31((q63_t) * pSrc++ << shiftBits) :
+      (*pSrc++ >> -shiftBits);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+}
+
+/**        
+ * @} end of shift group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c
new file mode 100644
index 0000000..f925054
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_shift_q7.c
@@ -0,0 +1,220 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_shift_q7.c    
+*    
+* Description:	Processing function for the Q7 Shifting    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @addtogroup shift        
+ * @{        
+ */
+
+
+/**        
+ * @brief  Shifts the elements of a Q7 vector a specified number of bits.        
+ * @param[in]  *pSrc points to the input vector        
+ * @param[in]  shiftBits number of bits to shift.  A positive value shifts left; a negative value shifts right.        
+ * @param[out]  *pDst points to the output vector        
+ * @param[in]  blockSize number of samples in the vector        
+ * @return none.        
+ *    
+ * \par Conditions for optimum performance    
+ *  Input and output buffers should be aligned by 32-bit    
+ *    
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * Results outside of the allowable Q7 range [0x8 0x7F] will be saturated.        
+ */
+
+void arm_shift_q7(
+  q7_t * pSrc,
+  int8_t shiftBits,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  uint8_t sign;                                  /* Sign of shiftBits */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q7_t in1;                                      /* Input value1 */
+  q7_t in2;                                      /* Input value2 */
+  q7_t in3;                                      /* Input value3 */
+  q7_t in4;                                      /* Input value4 */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Getting the sign of shiftBits */
+  sign = (shiftBits & 0x80);
+
+  /* If the shift value is positive then do right shift else left shift */
+  if(sign == 0u)
+  {
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C = A << shiftBits */
+      /* Read 4 inputs */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      in3 = *(pSrc + 2);
+      in4 = *(pSrc + 3);
+
+      /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */
+      *__SIMD32(pDst)++ = __PACKq7(__SSAT((in1 << shiftBits), 8),
+                                   __SSAT((in2 << shiftBits), 8),
+                                   __SSAT((in3 << shiftBits), 8),
+                                   __SSAT((in4 << shiftBits), 8));
+      /* Update source pointer to process next sampels */
+      pSrc += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+     ** No loop unrolling is used. */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A << shiftBits */
+      /* Shift the input and then store the result in the destination buffer. */
+      *pDst++ = (q7_t) __SSAT((*pSrc++ << shiftBits), 8);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    shiftBits = -shiftBits;
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C = A >> shiftBits */
+      /* Read 4 inputs */
+      in1 = *pSrc;
+      in2 = *(pSrc + 1);
+      in3 = *(pSrc + 2);
+      in4 = *(pSrc + 3);
+
+      /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */
+      *__SIMD32(pDst)++ = __PACKq7((in1 >> shiftBits), (in2 >> shiftBits),
+                                   (in3 >> shiftBits), (in4 >> shiftBits));
+
+
+      pSrc += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A >> shiftBits */
+      /* Shift the input and then store the result in the destination buffer. */
+      in1 = *pSrc++;
+      *pDst++ = (in1 >> shiftBits);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Getting the sign of shiftBits */
+  sign = (shiftBits & 0x80);
+
+  /* If the shift value is positive then do right shift else left shift */
+  if(sign == 0u)
+  {
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A << shiftBits */
+      /* Shift the input and then store the result in the destination buffer. */
+      *pDst++ = (q7_t) __SSAT(((q15_t) * pSrc++ << shiftBits), 8);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* C = A >> shiftBits */
+      /* Shift the input and then store the result in the destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+}
+
+/**        
+ * @} end of shift group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c b/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c
new file mode 100644
index 0000000..e7ff234
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_sub_f32.c
@@ -0,0 +1,150 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sub_f32.c    
+*    
+* Description:	Floating-point vector subtraction.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMath        
+ */
+
+/**        
+ * @defgroup BasicSub Vector Subtraction        
+ *        
+ * Element-by-element subtraction of two vectors.        
+ *        
+ * <pre>        
+ *     pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q7, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup BasicSub        
+ * @{        
+ */
+
+
+/**        
+ * @brief Floating-point vector subtraction.        
+ * @param[in]       *pSrcA points to the first input vector        
+ * @param[in]       *pSrcB points to the second input vector        
+ * @param[out]      *pDst points to the output vector        
+ * @param[in]       blockSize number of samples in each vector        
+ * @return none.        
+ */
+
+void arm_sub_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inA1, inA2, inA3, inA4;              /* temporary variables */
+  float32_t inB1, inB2, inB3, inB4;              /* temporary variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the results in the destination buffer. */
+    /* Read 4 input samples from sourceA and sourceB */
+    inA1 = *pSrcA;
+    inB1 = *pSrcB;
+    inA2 = *(pSrcA + 1);
+    inB2 = *(pSrcB + 1);
+    inA3 = *(pSrcA + 2);
+    inB3 = *(pSrcB + 2);
+    inA4 = *(pSrcA + 3);
+    inB4 = *(pSrcB + 3);
+
+    /* dst = srcA - srcB */
+    /* subtract and store the result */
+    *pDst = inA1 - inB1;
+    *(pDst + 1) = inA2 - inB2;
+    *(pDst + 2) = inA3 - inB3;
+    *(pDst + 3) = inA4 - inB4;
+
+
+    /* Update pointers to process next sampels */
+    pSrcA += 4u;
+    pSrcB += 4u;
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the results in the destination buffer. */
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of BasicSub group        
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c
new file mode 100644
index 0000000..420db7f
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q15.c
@@ -0,0 +1,140 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sub_q15.c    
+*    
+* Description:	Q15 vector subtraction.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicSub    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 vector subtraction.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+void arm_sub_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2;
+  q31_t inB1, inB2;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the results in the destination buffer two samples at a time. */
+    inA1 = *__SIMD32(pSrcA)++;
+    inA2 = *__SIMD32(pSrcA)++;
+    inB1 = *__SIMD32(pSrcB)++;
+    inB2 = *__SIMD32(pSrcB)++;
+
+    *__SIMD32(pDst)++ = __QSUB16(inA1, inB1);
+    *__SIMD32(pDst)++ = __QSUB16(inA2, inB2);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ - *pSrcB++), 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+}
+
+/**    
+ * @} end of BasicSub group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c
new file mode 100644
index 0000000..40ee7e1
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q31.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sub_q31.c    
+*    
+* Description:	Q31 vector subtraction.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicSub    
+ * @{    
+ */
+
+/**    
+ * @brief Q31 vector subtraction.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.    
+ */
+
+void arm_sub_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inA1, inA2, inA3, inA4;
+  q31_t inB1, inB2, inB3, inB4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the results in the destination buffer. */
+    inA1 = *pSrcA++;
+    inA2 = *pSrcA++;
+    inB1 = *pSrcB++;
+    inB2 = *pSrcB++;
+
+    inA3 = *pSrcA++;
+    inA4 = *pSrcA++;
+    inB3 = *pSrcB++;
+    inB4 = *pSrcB++;
+
+    *pDst++ = __QSUB(inA1, inB1);
+    *pDst++ = __QSUB(inA2, inB2);
+    *pDst++ = __QSUB(inA3, inB3);
+    *pDst++ = __QSUB(inA4, inB4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ - *pSrcB++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of BasicSub group    
+ */
diff --git a/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c
new file mode 100644
index 0000000..2a2cb5e
--- /dev/null
+++ b/DSP_Lib/Source/BasicMathFunctions/arm_sub_q7.c
@@ -0,0 +1,131 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sub_q7.c    
+*    
+* Description:	Q7 vector subtraction.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMath    
+ */
+
+/**    
+ * @addtogroup BasicSub    
+ * @{    
+ */
+
+/**    
+ * @brief Q7 vector subtraction.    
+ * @param[in]       *pSrcA points to the first input vector    
+ * @param[in]       *pSrcB points to the second input vector    
+ * @param[out]      *pDst points to the output vector    
+ * @param[in]       blockSize number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
+ */
+
+void arm_sub_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the results in the destination buffer 4 samples at a time. */
+    *__SIMD32(pDst)++ = __QSUB8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = __SSAT(*pSrcA++ - *pSrcB++, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A - B */
+    /* Subtract and then store the result in the destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ - *pSrcB++, 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+}
+
+/**    
+ * @} end of BasicSub group    
+ */
diff --git a/DSP_Lib/Source/CommonTables/arm_common_tables.c b/DSP_Lib/Source/CommonTables/arm_common_tables.c
new file mode 100644
index 0000000..79fe976
--- /dev/null
+++ b/DSP_Lib/Source/CommonTables/arm_common_tables.c
@@ -0,0 +1,27251 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_common_tables.c    
+*    
+* Description:	This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup CFFT_CIFFT Complex FFT Tables  
+ * @{    
+ */
+
+/**    
+* \par    
+* Pseudo code for Generation of Bit reversal Table is    
+* \par    
+* <pre>for(l=1;l <= N/4;l++)    
+* {    
+*   for(i=0;i<logN2;i++)    
+*   {     
+*     a[i]=l&(1<<i);    
+*   }    
+*   for(j=0; j<logN2; j++)    
+*   {    
+*     if (a[j]!=0)    
+*     y[l]+=(1<<((logN2-1)-j));    
+*   }    
+*   y[l] = y[l] >> 1;    
+*  } </pre>    
+* \par    
+* where N = 4096	logN2 = 12   
+* \par    
+* N is the maximum FFT Size supported    
+*/
+
+/*    
+* @brief  Table for bit reversal process    
+*/
+const uint16_t armBitRevTable[1024] = {
+   0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, 
+   0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 
+   0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, 
+   0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, 
+   0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, 
+   0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, 
+   0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, 
+   0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, 
+   0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 
+   0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, 
+   0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 
+   0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, 
+   0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, 
+   0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, 
+   0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, 
+   0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 
+   0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, 
+   0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, 
+   0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, 
+   0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, 
+   0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, 
+   0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, 
+   0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 
+   0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, 
+   0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 
+   0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, 
+   0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, 
+   0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, 
+   0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, 
+   0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 
+   0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, 
+   0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 
+   0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, 
+   0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, 
+   0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, 
+   0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, 
+   0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 
+   0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, 
+   0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 
+   0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, 
+   0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, 
+   0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, 
+   0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, 
+   0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 
+   0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, 
+   0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 
+   0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, 
+   0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, 
+   0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, 
+   0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, 
+   0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 
+   0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, 
+   0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, 
+   0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, 
+   0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, 
+   0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, 
+   0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, 
+   0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 
+   0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, 
+   0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, 
+   0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, 
+   0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, 
+   0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, 
+   0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, 
+   0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 
+   0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, 
+   0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 
+   0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, 
+   0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, 
+   0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, 
+   0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, 
+   0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 
+   0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, 
+   0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 
+   0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, 
+   0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, 
+   0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, 
+   0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, 
+   0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 
+   0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, 
+   0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 
+   0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, 
+   0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, 
+   0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, 
+   0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, 
+   0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 
+   0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, 
+   0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 
+   0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, 
+   0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, 
+   0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, 
+   0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, 
+   0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 
+   0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, 
+   0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 
+   0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, 
+   0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, 
+   0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, 
+   0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, 
+   0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 
+   0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, 
+   0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 
+   0x5fe, 0x3fe, 0x7fe, 0x1 
+};
+
+
+/*    
+* @brief  Floating-point Twiddle factors Table Generation    
+*/
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 16	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_16[32] = {
+    1.000000000f,  0.000000000f,
+    0.923879533f,  0.382683432f,
+    0.707106781f,  0.707106781f,
+    0.382683432f,  0.923879533f,
+    0.000000000f,  1.000000000f,
+   -0.382683432f,  0.923879533f,
+   -0.707106781f,  0.707106781f,
+   -0.923879533f,  0.382683432f,
+   -1.000000000f,  0.000000000f,
+   -0.923879533f, -0.382683432f,
+   -0.707106781f, -0.707106781f,
+   -0.382683432f, -0.923879533f,
+   -0.000000000f, -1.000000000f,
+    0.382683432f, -0.923879533f,
+    0.707106781f, -0.707106781f,
+    0.923879533f, -0.382683432f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 32	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_32[64] = {
+    1.000000000f,  0.000000000f,
+    0.980785280f,  0.195090322f,
+    0.923879533f,  0.382683432f,
+    0.831469612f,  0.555570233f,
+    0.707106781f,  0.707106781f,
+    0.555570233f,  0.831469612f,
+    0.382683432f,  0.923879533f,
+    0.195090322f,  0.980785280f,
+    0.000000000f,  1.000000000f,
+   -0.195090322f,  0.980785280f,
+   -0.382683432f,  0.923879533f,
+   -0.555570233f,  0.831469612f,
+   -0.707106781f,  0.707106781f,
+   -0.831469612f,  0.555570233f,
+   -0.923879533f,  0.382683432f,
+   -0.980785280f,  0.195090322f,
+   -1.000000000f,  0.000000000f,
+   -0.980785280f, -0.195090322f,
+   -0.923879533f, -0.382683432f,
+   -0.831469612f, -0.555570233f,
+   -0.707106781f, -0.707106781f,
+   -0.555570233f, -0.831469612f,
+   -0.382683432f, -0.923879533f,
+   -0.195090322f, -0.980785280f,
+   -0.000000000f, -1.000000000f,
+    0.195090322f, -0.980785280f,
+    0.382683432f, -0.923879533f,
+    0.555570233f, -0.831469612f,
+    0.707106781f, -0.707106781f,
+    0.831469612f, -0.555570233f,
+    0.923879533f, -0.382683432f,
+    0.980785280f, -0.195090322f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 64	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_64[128] = {
+    1.000000000f,  0.000000000f,
+    0.995184727f,  0.098017140f,
+    0.980785280f,  0.195090322f,
+    0.956940336f,  0.290284677f,
+    0.923879533f,  0.382683432f,
+    0.881921264f,  0.471396737f,
+    0.831469612f,  0.555570233f,
+    0.773010453f,  0.634393284f,
+    0.707106781f,  0.707106781f,
+    0.634393284f,  0.773010453f,
+    0.555570233f,  0.831469612f,
+    0.471396737f,  0.881921264f,
+    0.382683432f,  0.923879533f,
+    0.290284677f,  0.956940336f,
+    0.195090322f,  0.980785280f,
+    0.098017140f,  0.995184727f,
+    0.000000000f,  1.000000000f,
+   -0.098017140f,  0.995184727f,
+   -0.195090322f,  0.980785280f,
+   -0.290284677f,  0.956940336f,
+   -0.382683432f,  0.923879533f,
+   -0.471396737f,  0.881921264f,
+   -0.555570233f,  0.831469612f,
+   -0.634393284f,  0.773010453f,
+   -0.707106781f,  0.707106781f,
+   -0.773010453f,  0.634393284f,
+   -0.831469612f,  0.555570233f,
+   -0.881921264f,  0.471396737f,
+   -0.923879533f,  0.382683432f,
+   -0.956940336f,  0.290284677f,
+   -0.980785280f,  0.195090322f,
+   -0.995184727f,  0.098017140f,
+   -1.000000000f,  0.000000000f,
+   -0.995184727f, -0.098017140f,
+   -0.980785280f, -0.195090322f,
+   -0.956940336f, -0.290284677f,
+   -0.923879533f, -0.382683432f,
+   -0.881921264f, -0.471396737f,
+   -0.831469612f, -0.555570233f,
+   -0.773010453f, -0.634393284f,
+   -0.707106781f, -0.707106781f,
+   -0.634393284f, -0.773010453f,
+   -0.555570233f, -0.831469612f,
+   -0.471396737f, -0.881921264f,
+   -0.382683432f, -0.923879533f,
+   -0.290284677f, -0.956940336f,
+   -0.195090322f, -0.980785280f,
+   -0.098017140f, -0.995184727f,
+   -0.000000000f, -1.000000000f,
+    0.098017140f, -0.995184727f,
+    0.195090322f, -0.980785280f,
+    0.290284677f, -0.956940336f,
+    0.382683432f, -0.923879533f,
+    0.471396737f, -0.881921264f,
+    0.555570233f, -0.831469612f,
+    0.634393284f, -0.773010453f,
+    0.707106781f, -0.707106781f,
+    0.773010453f, -0.634393284f,
+    0.831469612f, -0.555570233f,
+    0.881921264f, -0.471396737f,
+    0.923879533f, -0.382683432f,
+    0.956940336f, -0.290284677f,
+    0.980785280f, -0.195090322f,
+    0.995184727f, -0.098017140f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 128	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+
+const float32_t twiddleCoef_128[256] = {
+    1.000000000f	,	0.000000000f	,
+    0.998795456f	,	0.049067674f	,
+    0.995184727f	,	0.098017140f	,
+    0.989176510f	,	0.146730474f	,
+    0.980785280f	,	0.195090322f	,
+    0.970031253f	,	0.242980180f	,
+    0.956940336f	,	0.290284677f	,
+    0.941544065f	,	0.336889853f	,
+    0.923879533f	,	0.382683432f	,
+    0.903989293f	,	0.427555093f	,
+    0.881921264f	,	0.471396737f	,
+    0.857728610f	,	0.514102744f	,
+    0.831469612f	,	0.555570233f	,
+    0.803207531f	,	0.595699304f	,
+    0.773010453f	,	0.634393284f	,
+    0.740951125f	,	0.671558955f	,
+    0.707106781f	,	0.707106781f	,
+    0.671558955f	,	0.740951125f	,
+    0.634393284f	,	0.773010453f	,
+    0.595699304f	,	0.803207531f	,
+    0.555570233f	,	0.831469612f	,
+    0.514102744f	,	0.857728610f	,
+    0.471396737f	,	0.881921264f	,
+    0.427555093f	,	0.903989293f	,
+    0.382683432f	,	0.923879533f	,
+    0.336889853f	,	0.941544065f	,
+    0.290284677f	,	0.956940336f	,
+    0.242980180f	,	0.970031253f	,
+    0.195090322f	,	0.980785280f	,
+    0.146730474f	,	0.989176510f	,
+    0.098017140f	,	0.995184727f	,
+    0.049067674f	,	0.998795456f	,
+    0.000000000f	,	1.000000000f	,
+    -0.049067674f	,	0.998795456f	,
+    -0.098017140f	,	0.995184727f	,
+    -0.146730474f	,	0.989176510f	,
+    -0.195090322f	,	0.980785280f	,
+    -0.242980180f	,	0.970031253f	,
+    -0.290284677f	,	0.956940336f	,
+    -0.336889853f	,	0.941544065f	,
+    -0.382683432f	,	0.923879533f	,
+    -0.427555093f	,	0.903989293f	,
+    -0.471396737f	,	0.881921264f	,
+    -0.514102744f	,	0.857728610f	,
+    -0.555570233f	,	0.831469612f	,
+    -0.595699304f	,	0.803207531f	,
+    -0.634393284f	,	0.773010453f	,
+    -0.671558955f	,	0.740951125f	,
+    -0.707106781f	,	0.707106781f	,
+    -0.740951125f	,	0.671558955f	,
+    -0.773010453f	,	0.634393284f	,
+    -0.803207531f	,	0.595699304f	,
+    -0.831469612f	,	0.555570233f	,
+    -0.857728610f	,	0.514102744f	,
+    -0.881921264f	,	0.471396737f	,
+    -0.903989293f	,	0.427555093f	,
+    -0.923879533f	,	0.382683432f	,
+    -0.941544065f	,	0.336889853f	,
+    -0.956940336f	,	0.290284677f	,
+    -0.970031253f	,	0.242980180f	,
+    -0.980785280f	,	0.195090322f	,
+    -0.989176510f	,	0.146730474f	,
+    -0.995184727f	,	0.098017140f	,
+    -0.998795456f	,	0.049067674f	,
+    -1.000000000f	,	0.000000000f	,
+    -0.998795456f	,	-0.049067674f	,
+    -0.995184727f	,	-0.098017140f	,
+    -0.989176510f	,	-0.146730474f	,
+    -0.980785280f	,	-0.195090322f	,
+    -0.970031253f	,	-0.242980180f	,
+    -0.956940336f	,	-0.290284677f	,
+    -0.941544065f	,	-0.336889853f	,
+    -0.923879533f	,	-0.382683432f	,
+    -0.903989293f	,	-0.427555093f	,
+    -0.881921264f	,	-0.471396737f	,
+    -0.857728610f	,	-0.514102744f	,
+    -0.831469612f	,	-0.555570233f	,
+    -0.803207531f	,	-0.595699304f	,
+    -0.773010453f	,	-0.634393284f	,
+    -0.740951125f	,	-0.671558955f	,
+    -0.707106781f	,	-0.707106781f	,
+    -0.671558955f	,	-0.740951125f	,
+    -0.634393284f	,	-0.773010453f	,
+    -0.595699304f	,	-0.803207531f	,
+    -0.555570233f	,	-0.831469612f	,
+    -0.514102744f	,	-0.857728610f	,
+    -0.471396737f	,	-0.881921264f	,
+    -0.427555093f	,	-0.903989293f	,
+    -0.382683432f	,	-0.923879533f	,
+    -0.336889853f	,	-0.941544065f	,
+    -0.290284677f	,	-0.956940336f	,
+    -0.242980180f	,	-0.970031253f	,
+    -0.195090322f	,	-0.980785280f	,
+    -0.146730474f	,	-0.989176510f	,
+    -0.098017140f	,	-0.995184727f	,
+    -0.049067674f	,	-0.998795456f	,
+    -0.000000000f	,	-1.000000000f	,
+    0.049067674f	,	-0.998795456f	,
+    0.098017140f	,	-0.995184727f	,
+    0.146730474f	,	-0.989176510f	,
+    0.195090322f	,	-0.980785280f	,
+    0.242980180f	,	-0.970031253f	,
+    0.290284677f	,	-0.956940336f	,
+    0.336889853f	,	-0.941544065f	,
+    0.382683432f	,	-0.923879533f	,
+    0.427555093f	,	-0.903989293f	,
+    0.471396737f	,	-0.881921264f	,
+    0.514102744f	,	-0.857728610f	,
+    0.555570233f	,	-0.831469612f	,
+    0.595699304f	,	-0.803207531f	,
+    0.634393284f	,	-0.773010453f	,
+    0.671558955f	,	-0.740951125f	,
+    0.707106781f	,	-0.707106781f	,
+    0.740951125f	,	-0.671558955f	,
+    0.773010453f	,	-0.634393284f	,
+    0.803207531f	,	-0.595699304f	,
+    0.831469612f	,	-0.555570233f	,
+    0.857728610f	,	-0.514102744f	,
+    0.881921264f	,	-0.471396737f	,
+    0.903989293f	,	-0.427555093f	,
+    0.923879533f	,	-0.382683432f	,
+    0.941544065f	,	-0.336889853f	,
+    0.956940336f	,	-0.290284677f	,
+    0.970031253f	,	-0.242980180f	,
+    0.980785280f	,	-0.195090322f	,
+    0.989176510f	,	-0.146730474f	,
+    0.995184727f	,	-0.098017140f	,
+    0.998795456f	,	-0.049067674f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 256	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_256[512] = {
+    1.000000000f,  0.000000000f,
+    0.999698819f,  0.024541229f,
+    0.998795456f,  0.049067674f,
+    0.997290457f,  0.073564564f,
+    0.995184727f,  0.098017140f,
+    0.992479535f,  0.122410675f,
+    0.989176510f,  0.146730474f,
+    0.985277642f,  0.170961889f,
+    0.980785280f,  0.195090322f,
+    0.975702130f,  0.219101240f,
+    0.970031253f,  0.242980180f,
+    0.963776066f,  0.266712757f,
+    0.956940336f,  0.290284677f,
+    0.949528181f,  0.313681740f,
+    0.941544065f,  0.336889853f,
+    0.932992799f,  0.359895037f,
+    0.923879533f,  0.382683432f,
+    0.914209756f,  0.405241314f,
+    0.903989293f,  0.427555093f,
+    0.893224301f,  0.449611330f,
+    0.881921264f,  0.471396737f,
+    0.870086991f,  0.492898192f,
+    0.857728610f,  0.514102744f,
+    0.844853565f,  0.534997620f,
+    0.831469612f,  0.555570233f,
+    0.817584813f,  0.575808191f,
+    0.803207531f,  0.595699304f,
+    0.788346428f,  0.615231591f,
+    0.773010453f,  0.634393284f,
+    0.757208847f,  0.653172843f,
+    0.740951125f,  0.671558955f,
+    0.724247083f,  0.689540545f,
+    0.707106781f,  0.707106781f,
+    0.689540545f,  0.724247083f,
+    0.671558955f,  0.740951125f,
+    0.653172843f,  0.757208847f,
+    0.634393284f,  0.773010453f,
+    0.615231591f,  0.788346428f,
+    0.595699304f,  0.803207531f,
+    0.575808191f,  0.817584813f,
+    0.555570233f,  0.831469612f,
+    0.534997620f,  0.844853565f,
+    0.514102744f,  0.857728610f,
+    0.492898192f,  0.870086991f,
+    0.471396737f,  0.881921264f,
+    0.449611330f,  0.893224301f,
+    0.427555093f,  0.903989293f,
+    0.405241314f,  0.914209756f,
+    0.382683432f,  0.923879533f,
+    0.359895037f,  0.932992799f,
+    0.336889853f,  0.941544065f,
+    0.313681740f,  0.949528181f,
+    0.290284677f,  0.956940336f,
+    0.266712757f,  0.963776066f,
+    0.242980180f,  0.970031253f,
+    0.219101240f,  0.975702130f,
+    0.195090322f,  0.980785280f,
+    0.170961889f,  0.985277642f,
+    0.146730474f,  0.989176510f,
+    0.122410675f,  0.992479535f,
+    0.098017140f,  0.995184727f,
+    0.073564564f,  0.997290457f,
+    0.049067674f,  0.998795456f,
+    0.024541229f,  0.999698819f,
+    0.000000000f,  1.000000000f,
+   -0.024541229f,  0.999698819f,
+   -0.049067674f,  0.998795456f,
+   -0.073564564f,  0.997290457f,
+   -0.098017140f,  0.995184727f,
+   -0.122410675f,  0.992479535f,
+   -0.146730474f,  0.989176510f,
+   -0.170961889f,  0.985277642f,
+   -0.195090322f,  0.980785280f,
+   -0.219101240f,  0.975702130f,
+   -0.242980180f,  0.970031253f,
+   -0.266712757f,  0.963776066f,
+   -0.290284677f,  0.956940336f,
+   -0.313681740f,  0.949528181f,
+   -0.336889853f,  0.941544065f,
+   -0.359895037f,  0.932992799f,
+   -0.382683432f,  0.923879533f,
+   -0.405241314f,  0.914209756f,
+   -0.427555093f,  0.903989293f,
+   -0.449611330f,  0.893224301f,
+   -0.471396737f,  0.881921264f,
+   -0.492898192f,  0.870086991f,
+   -0.514102744f,  0.857728610f,
+   -0.534997620f,  0.844853565f,
+   -0.555570233f,  0.831469612f,
+   -0.575808191f,  0.817584813f,
+   -0.595699304f,  0.803207531f,
+   -0.615231591f,  0.788346428f,
+   -0.634393284f,  0.773010453f,
+   -0.653172843f,  0.757208847f,
+   -0.671558955f,  0.740951125f,
+   -0.689540545f,  0.724247083f,
+   -0.707106781f,  0.707106781f,
+   -0.724247083f,  0.689540545f,
+   -0.740951125f,  0.671558955f,
+   -0.757208847f,  0.653172843f,
+   -0.773010453f,  0.634393284f,
+   -0.788346428f,  0.615231591f,
+   -0.803207531f,  0.595699304f,
+   -0.817584813f,  0.575808191f,
+   -0.831469612f,  0.555570233f,
+   -0.844853565f,  0.534997620f,
+   -0.857728610f,  0.514102744f,
+   -0.870086991f,  0.492898192f,
+   -0.881921264f,  0.471396737f,
+   -0.893224301f,  0.449611330f,
+   -0.903989293f,  0.427555093f,
+   -0.914209756f,  0.405241314f,
+   -0.923879533f,  0.382683432f,
+   -0.932992799f,  0.359895037f,
+   -0.941544065f,  0.336889853f,
+   -0.949528181f,  0.313681740f,
+   -0.956940336f,  0.290284677f,
+   -0.963776066f,  0.266712757f,
+   -0.970031253f,  0.242980180f,
+   -0.975702130f,  0.219101240f,
+   -0.980785280f,  0.195090322f,
+   -0.985277642f,  0.170961889f,
+   -0.989176510f,  0.146730474f,
+   -0.992479535f,  0.122410675f,
+   -0.995184727f,  0.098017140f,
+   -0.997290457f,  0.073564564f,
+   -0.998795456f,  0.049067674f,
+   -0.999698819f,  0.024541229f,
+   -1.000000000f,  0.000000000f,
+   -0.999698819f, -0.024541229f,
+   -0.998795456f, -0.049067674f,
+   -0.997290457f, -0.073564564f,
+   -0.995184727f, -0.098017140f,
+   -0.992479535f, -0.122410675f,
+   -0.989176510f, -0.146730474f,
+   -0.985277642f, -0.170961889f,
+   -0.980785280f, -0.195090322f,
+   -0.975702130f, -0.219101240f,
+   -0.970031253f, -0.242980180f,
+   -0.963776066f, -0.266712757f,
+   -0.956940336f, -0.290284677f,
+   -0.949528181f, -0.313681740f,
+   -0.941544065f, -0.336889853f,
+   -0.932992799f, -0.359895037f,
+   -0.923879533f, -0.382683432f,
+   -0.914209756f, -0.405241314f,
+   -0.903989293f, -0.427555093f,
+   -0.893224301f, -0.449611330f,
+   -0.881921264f, -0.471396737f,
+   -0.870086991f, -0.492898192f,
+   -0.857728610f, -0.514102744f,
+   -0.844853565f, -0.534997620f,
+   -0.831469612f, -0.555570233f,
+   -0.817584813f, -0.575808191f,
+   -0.803207531f, -0.595699304f,
+   -0.788346428f, -0.615231591f,
+   -0.773010453f, -0.634393284f,
+   -0.757208847f, -0.653172843f,
+   -0.740951125f, -0.671558955f,
+   -0.724247083f, -0.689540545f,
+   -0.707106781f, -0.707106781f,
+   -0.689540545f, -0.724247083f,
+   -0.671558955f, -0.740951125f,
+   -0.653172843f, -0.757208847f,
+   -0.634393284f, -0.773010453f,
+   -0.615231591f, -0.788346428f,
+   -0.595699304f, -0.803207531f,
+   -0.575808191f, -0.817584813f,
+   -0.555570233f, -0.831469612f,
+   -0.534997620f, -0.844853565f,
+   -0.514102744f, -0.857728610f,
+   -0.492898192f, -0.870086991f,
+   -0.471396737f, -0.881921264f,
+   -0.449611330f, -0.893224301f,
+   -0.427555093f, -0.903989293f,
+   -0.405241314f, -0.914209756f,
+   -0.382683432f, -0.923879533f,
+   -0.359895037f, -0.932992799f,
+   -0.336889853f, -0.941544065f,
+   -0.313681740f, -0.949528181f,
+   -0.290284677f, -0.956940336f,
+   -0.266712757f, -0.963776066f,
+   -0.242980180f, -0.970031253f,
+   -0.219101240f, -0.975702130f,
+   -0.195090322f, -0.980785280f,
+   -0.170961889f, -0.985277642f,
+   -0.146730474f, -0.989176510f,
+   -0.122410675f, -0.992479535f,
+   -0.098017140f, -0.995184727f,
+   -0.073564564f, -0.997290457f,
+   -0.049067674f, -0.998795456f,
+   -0.024541229f, -0.999698819f,
+   -0.000000000f, -1.000000000f,
+    0.024541229f, -0.999698819f,
+    0.049067674f, -0.998795456f,
+    0.073564564f, -0.997290457f,
+    0.098017140f, -0.995184727f,
+    0.122410675f, -0.992479535f,
+    0.146730474f, -0.989176510f,
+    0.170961889f, -0.985277642f,
+    0.195090322f, -0.980785280f,
+    0.219101240f, -0.975702130f,
+    0.242980180f, -0.970031253f,
+    0.266712757f, -0.963776066f,
+    0.290284677f, -0.956940336f,
+    0.313681740f, -0.949528181f,
+    0.336889853f, -0.941544065f,
+    0.359895037f, -0.932992799f,
+    0.382683432f, -0.923879533f,
+    0.405241314f, -0.914209756f,
+    0.427555093f, -0.903989293f,
+    0.449611330f, -0.893224301f,
+    0.471396737f, -0.881921264f,
+    0.492898192f, -0.870086991f,
+    0.514102744f, -0.857728610f,
+    0.534997620f, -0.844853565f,
+    0.555570233f, -0.831469612f,
+    0.575808191f, -0.817584813f,
+    0.595699304f, -0.803207531f,
+    0.615231591f, -0.788346428f,
+    0.634393284f, -0.773010453f,
+    0.653172843f, -0.757208847f,
+    0.671558955f, -0.740951125f,
+    0.689540545f, -0.724247083f,
+    0.707106781f, -0.707106781f,
+    0.724247083f, -0.689540545f,
+    0.740951125f, -0.671558955f,
+    0.757208847f, -0.653172843f,
+    0.773010453f, -0.634393284f,
+    0.788346428f, -0.615231591f,
+    0.803207531f, -0.595699304f,
+    0.817584813f, -0.575808191f,
+    0.831469612f, -0.555570233f,
+    0.844853565f, -0.534997620f,
+    0.857728610f, -0.514102744f,
+    0.870086991f, -0.492898192f,
+    0.881921264f, -0.471396737f,
+    0.893224301f, -0.449611330f,
+    0.903989293f, -0.427555093f,
+    0.914209756f, -0.405241314f,
+    0.923879533f, -0.382683432f,
+    0.932992799f, -0.359895037f,
+    0.941544065f, -0.336889853f,
+    0.949528181f, -0.313681740f,
+    0.956940336f, -0.290284677f,
+    0.963776066f, -0.266712757f,
+    0.970031253f, -0.242980180f,
+    0.975702130f, -0.219101240f,
+    0.980785280f, -0.195090322f,
+    0.985277642f, -0.170961889f,
+    0.989176510f, -0.146730474f,
+    0.992479535f, -0.122410675f,
+    0.995184727f, -0.098017140f,
+    0.997290457f, -0.073564564f,
+    0.998795456f, -0.049067674f,
+    0.999698819f, -0.024541229f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 512	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_512[1024] = {
+    1.000000000f,  0.000000000f,
+    0.999924702f,  0.012271538f,
+    0.999698819f,  0.024541229f,
+    0.999322385f,  0.036807223f,
+    0.998795456f,  0.049067674f,
+    0.998118113f,  0.061320736f,
+    0.997290457f,  0.073564564f,
+    0.996312612f,  0.085797312f,
+    0.995184727f,  0.098017140f,
+    0.993906970f,  0.110222207f,
+    0.992479535f,  0.122410675f,
+    0.990902635f,  0.134580709f,
+    0.989176510f,  0.146730474f,
+    0.987301418f,  0.158858143f,
+    0.985277642f,  0.170961889f,
+    0.983105487f,  0.183039888f,
+    0.980785280f,  0.195090322f,
+    0.978317371f,  0.207111376f,
+    0.975702130f,  0.219101240f,
+    0.972939952f,  0.231058108f,
+    0.970031253f,  0.242980180f,
+    0.966976471f,  0.254865660f,
+    0.963776066f,  0.266712757f,
+    0.960430519f,  0.278519689f,
+    0.956940336f,  0.290284677f,
+    0.953306040f,  0.302005949f,
+    0.949528181f,  0.313681740f,
+    0.945607325f,  0.325310292f,
+    0.941544065f,  0.336889853f,
+    0.937339012f,  0.348418680f,
+    0.932992799f,  0.359895037f,
+    0.928506080f,  0.371317194f,
+    0.923879533f,  0.382683432f,
+    0.919113852f,  0.393992040f,
+    0.914209756f,  0.405241314f,
+    0.909167983f,  0.416429560f,
+    0.903989293f,  0.427555093f,
+    0.898674466f,  0.438616239f,
+    0.893224301f,  0.449611330f,
+    0.887639620f,  0.460538711f,
+    0.881921264f,  0.471396737f,
+    0.876070094f,  0.482183772f,
+    0.870086991f,  0.492898192f,
+    0.863972856f,  0.503538384f,
+    0.857728610f,  0.514102744f,
+    0.851355193f,  0.524589683f,
+    0.844853565f,  0.534997620f,
+    0.838224706f,  0.545324988f,
+    0.831469612f,  0.555570233f,
+    0.824589303f,  0.565731811f,
+    0.817584813f,  0.575808191f,
+    0.810457198f,  0.585797857f,
+    0.803207531f,  0.595699304f,
+    0.795836905f,  0.605511041f,
+    0.788346428f,  0.615231591f,
+    0.780737229f,  0.624859488f,
+    0.773010453f,  0.634393284f,
+    0.765167266f,  0.643831543f,
+    0.757208847f,  0.653172843f,
+    0.749136395f,  0.662415778f,
+    0.740951125f,  0.671558955f,
+    0.732654272f,  0.680600998f,
+    0.724247083f,  0.689540545f,
+    0.715730825f,  0.698376249f,
+    0.707106781f,  0.707106781f,
+    0.698376249f,  0.715730825f,
+    0.689540545f,  0.724247083f,
+    0.680600998f,  0.732654272f,
+    0.671558955f,  0.740951125f,
+    0.662415778f,  0.749136395f,
+    0.653172843f,  0.757208847f,
+    0.643831543f,  0.765167266f,
+    0.634393284f,  0.773010453f,
+    0.624859488f,  0.780737229f,
+    0.615231591f,  0.788346428f,
+    0.605511041f,  0.795836905f,
+    0.595699304f,  0.803207531f,
+    0.585797857f,  0.810457198f,
+    0.575808191f,  0.817584813f,
+    0.565731811f,  0.824589303f,
+    0.555570233f,  0.831469612f,
+    0.545324988f,  0.838224706f,
+    0.534997620f,  0.844853565f,
+    0.524589683f,  0.851355193f,
+    0.514102744f,  0.857728610f,
+    0.503538384f,  0.863972856f,
+    0.492898192f,  0.870086991f,
+    0.482183772f,  0.876070094f,
+    0.471396737f,  0.881921264f,
+    0.460538711f,  0.887639620f,
+    0.449611330f,  0.893224301f,
+    0.438616239f,  0.898674466f,
+    0.427555093f,  0.903989293f,
+    0.416429560f,  0.909167983f,
+    0.405241314f,  0.914209756f,
+    0.393992040f,  0.919113852f,
+    0.382683432f,  0.923879533f,
+    0.371317194f,  0.928506080f,
+    0.359895037f,  0.932992799f,
+    0.348418680f,  0.937339012f,
+    0.336889853f,  0.941544065f,
+    0.325310292f,  0.945607325f,
+    0.313681740f,  0.949528181f,
+    0.302005949f,  0.953306040f,
+    0.290284677f,  0.956940336f,
+    0.278519689f,  0.960430519f,
+    0.266712757f,  0.963776066f,
+    0.254865660f,  0.966976471f,
+    0.242980180f,  0.970031253f,
+    0.231058108f,  0.972939952f,
+    0.219101240f,  0.975702130f,
+    0.207111376f,  0.978317371f,
+    0.195090322f,  0.980785280f,
+    0.183039888f,  0.983105487f,
+    0.170961889f,  0.985277642f,
+    0.158858143f,  0.987301418f,
+    0.146730474f,  0.989176510f,
+    0.134580709f,  0.990902635f,
+    0.122410675f,  0.992479535f,
+    0.110222207f,  0.993906970f,
+    0.098017140f,  0.995184727f,
+    0.085797312f,  0.996312612f,
+    0.073564564f,  0.997290457f,
+    0.061320736f,  0.998118113f,
+    0.049067674f,  0.998795456f,
+    0.036807223f,  0.999322385f,
+    0.024541229f,  0.999698819f,
+    0.012271538f,  0.999924702f,
+    0.000000000f,  1.000000000f,
+   -0.012271538f,  0.999924702f,
+   -0.024541229f,  0.999698819f,
+   -0.036807223f,  0.999322385f,
+   -0.049067674f,  0.998795456f,
+   -0.061320736f,  0.998118113f,
+   -0.073564564f,  0.997290457f,
+   -0.085797312f,  0.996312612f,
+   -0.098017140f,  0.995184727f,
+   -0.110222207f,  0.993906970f,
+   -0.122410675f,  0.992479535f,
+   -0.134580709f,  0.990902635f,
+   -0.146730474f,  0.989176510f,
+   -0.158858143f,  0.987301418f,
+   -0.170961889f,  0.985277642f,
+   -0.183039888f,  0.983105487f,
+   -0.195090322f,  0.980785280f,
+   -0.207111376f,  0.978317371f,
+   -0.219101240f,  0.975702130f,
+   -0.231058108f,  0.972939952f,
+   -0.242980180f,  0.970031253f,
+   -0.254865660f,  0.966976471f,
+   -0.266712757f,  0.963776066f,
+   -0.278519689f,  0.960430519f,
+   -0.290284677f,  0.956940336f,
+   -0.302005949f,  0.953306040f,
+   -0.313681740f,  0.949528181f,
+   -0.325310292f,  0.945607325f,
+   -0.336889853f,  0.941544065f,
+   -0.348418680f,  0.937339012f,
+   -0.359895037f,  0.932992799f,
+   -0.371317194f,  0.928506080f,
+   -0.382683432f,  0.923879533f,
+   -0.393992040f,  0.919113852f,
+   -0.405241314f,  0.914209756f,
+   -0.416429560f,  0.909167983f,
+   -0.427555093f,  0.903989293f,
+   -0.438616239f,  0.898674466f,
+   -0.449611330f,  0.893224301f,
+   -0.460538711f,  0.887639620f,
+   -0.471396737f,  0.881921264f,
+   -0.482183772f,  0.876070094f,
+   -0.492898192f,  0.870086991f,
+   -0.503538384f,  0.863972856f,
+   -0.514102744f,  0.857728610f,
+   -0.524589683f,  0.851355193f,
+   -0.534997620f,  0.844853565f,
+   -0.545324988f,  0.838224706f,
+   -0.555570233f,  0.831469612f,
+   -0.565731811f,  0.824589303f,
+   -0.575808191f,  0.817584813f,
+   -0.585797857f,  0.810457198f,
+   -0.595699304f,  0.803207531f,
+   -0.605511041f,  0.795836905f,
+   -0.615231591f,  0.788346428f,
+   -0.624859488f,  0.780737229f,
+   -0.634393284f,  0.773010453f,
+   -0.643831543f,  0.765167266f,
+   -0.653172843f,  0.757208847f,
+   -0.662415778f,  0.749136395f,
+   -0.671558955f,  0.740951125f,
+   -0.680600998f,  0.732654272f,
+   -0.689540545f,  0.724247083f,
+   -0.698376249f,  0.715730825f,
+   -0.707106781f,  0.707106781f,
+   -0.715730825f,  0.698376249f,
+   -0.724247083f,  0.689540545f,
+   -0.732654272f,  0.680600998f,
+   -0.740951125f,  0.671558955f,
+   -0.749136395f,  0.662415778f,
+   -0.757208847f,  0.653172843f,
+   -0.765167266f,  0.643831543f,
+   -0.773010453f,  0.634393284f,
+   -0.780737229f,  0.624859488f,
+   -0.788346428f,  0.615231591f,
+   -0.795836905f,  0.605511041f,
+   -0.803207531f,  0.595699304f,
+   -0.810457198f,  0.585797857f,
+   -0.817584813f,  0.575808191f,
+   -0.824589303f,  0.565731811f,
+   -0.831469612f,  0.555570233f,
+   -0.838224706f,  0.545324988f,
+   -0.844853565f,  0.534997620f,
+   -0.851355193f,  0.524589683f,
+   -0.857728610f,  0.514102744f,
+   -0.863972856f,  0.503538384f,
+   -0.870086991f,  0.492898192f,
+   -0.876070094f,  0.482183772f,
+   -0.881921264f,  0.471396737f,
+   -0.887639620f,  0.460538711f,
+   -0.893224301f,  0.449611330f,
+   -0.898674466f,  0.438616239f,
+   -0.903989293f,  0.427555093f,
+   -0.909167983f,  0.416429560f,
+   -0.914209756f,  0.405241314f,
+   -0.919113852f,  0.393992040f,
+   -0.923879533f,  0.382683432f,
+   -0.928506080f,  0.371317194f,
+   -0.932992799f,  0.359895037f,
+   -0.937339012f,  0.348418680f,
+   -0.941544065f,  0.336889853f,
+   -0.945607325f,  0.325310292f,
+   -0.949528181f,  0.313681740f,
+   -0.953306040f,  0.302005949f,
+   -0.956940336f,  0.290284677f,
+   -0.960430519f,  0.278519689f,
+   -0.963776066f,  0.266712757f,
+   -0.966976471f,  0.254865660f,
+   -0.970031253f,  0.242980180f,
+   -0.972939952f,  0.231058108f,
+   -0.975702130f,  0.219101240f,
+   -0.978317371f,  0.207111376f,
+   -0.980785280f,  0.195090322f,
+   -0.983105487f,  0.183039888f,
+   -0.985277642f,  0.170961889f,
+   -0.987301418f,  0.158858143f,
+   -0.989176510f,  0.146730474f,
+   -0.990902635f,  0.134580709f,
+   -0.992479535f,  0.122410675f,
+   -0.993906970f,  0.110222207f,
+   -0.995184727f,  0.098017140f,
+   -0.996312612f,  0.085797312f,
+   -0.997290457f,  0.073564564f,
+   -0.998118113f,  0.061320736f,
+   -0.998795456f,  0.049067674f,
+   -0.999322385f,  0.036807223f,
+   -0.999698819f,  0.024541229f,
+   -0.999924702f,  0.012271538f,
+   -1.000000000f,  0.000000000f,
+   -0.999924702f, -0.012271538f,
+   -0.999698819f, -0.024541229f,
+   -0.999322385f, -0.036807223f,
+   -0.998795456f, -0.049067674f,
+   -0.998118113f, -0.061320736f,
+   -0.997290457f, -0.073564564f,
+   -0.996312612f, -0.085797312f,
+   -0.995184727f, -0.098017140f,
+   -0.993906970f, -0.110222207f,
+   -0.992479535f, -0.122410675f,
+   -0.990902635f, -0.134580709f,
+   -0.989176510f, -0.146730474f,
+   -0.987301418f, -0.158858143f,
+   -0.985277642f, -0.170961889f,
+   -0.983105487f, -0.183039888f,
+   -0.980785280f, -0.195090322f,
+   -0.978317371f, -0.207111376f,
+   -0.975702130f, -0.219101240f,
+   -0.972939952f, -0.231058108f,
+   -0.970031253f, -0.242980180f,
+   -0.966976471f, -0.254865660f,
+   -0.963776066f, -0.266712757f,
+   -0.960430519f, -0.278519689f,
+   -0.956940336f, -0.290284677f,
+   -0.953306040f, -0.302005949f,
+   -0.949528181f, -0.313681740f,
+   -0.945607325f, -0.325310292f,
+   -0.941544065f, -0.336889853f,
+   -0.937339012f, -0.348418680f,
+   -0.932992799f, -0.359895037f,
+   -0.928506080f, -0.371317194f,
+   -0.923879533f, -0.382683432f,
+   -0.919113852f, -0.393992040f,
+   -0.914209756f, -0.405241314f,
+   -0.909167983f, -0.416429560f,
+   -0.903989293f, -0.427555093f,
+   -0.898674466f, -0.438616239f,
+   -0.893224301f, -0.449611330f,
+   -0.887639620f, -0.460538711f,
+   -0.881921264f, -0.471396737f,
+   -0.876070094f, -0.482183772f,
+   -0.870086991f, -0.492898192f,
+   -0.863972856f, -0.503538384f,
+   -0.857728610f, -0.514102744f,
+   -0.851355193f, -0.524589683f,
+   -0.844853565f, -0.534997620f,
+   -0.838224706f, -0.545324988f,
+   -0.831469612f, -0.555570233f,
+   -0.824589303f, -0.565731811f,
+   -0.817584813f, -0.575808191f,
+   -0.810457198f, -0.585797857f,
+   -0.803207531f, -0.595699304f,
+   -0.795836905f, -0.605511041f,
+   -0.788346428f, -0.615231591f,
+   -0.780737229f, -0.624859488f,
+   -0.773010453f, -0.634393284f,
+   -0.765167266f, -0.643831543f,
+   -0.757208847f, -0.653172843f,
+   -0.749136395f, -0.662415778f,
+   -0.740951125f, -0.671558955f,
+   -0.732654272f, -0.680600998f,
+   -0.724247083f, -0.689540545f,
+   -0.715730825f, -0.698376249f,
+   -0.707106781f, -0.707106781f,
+   -0.698376249f, -0.715730825f,
+   -0.689540545f, -0.724247083f,
+   -0.680600998f, -0.732654272f,
+   -0.671558955f, -0.740951125f,
+   -0.662415778f, -0.749136395f,
+   -0.653172843f, -0.757208847f,
+   -0.643831543f, -0.765167266f,
+   -0.634393284f, -0.773010453f,
+   -0.624859488f, -0.780737229f,
+   -0.615231591f, -0.788346428f,
+   -0.605511041f, -0.795836905f,
+   -0.595699304f, -0.803207531f,
+   -0.585797857f, -0.810457198f,
+   -0.575808191f, -0.817584813f,
+   -0.565731811f, -0.824589303f,
+   -0.555570233f, -0.831469612f,
+   -0.545324988f, -0.838224706f,
+   -0.534997620f, -0.844853565f,
+   -0.524589683f, -0.851355193f,
+   -0.514102744f, -0.857728610f,
+   -0.503538384f, -0.863972856f,
+   -0.492898192f, -0.870086991f,
+   -0.482183772f, -0.876070094f,
+   -0.471396737f, -0.881921264f,
+   -0.460538711f, -0.887639620f,
+   -0.449611330f, -0.893224301f,
+   -0.438616239f, -0.898674466f,
+   -0.427555093f, -0.903989293f,
+   -0.416429560f, -0.909167983f,
+   -0.405241314f, -0.914209756f,
+   -0.393992040f, -0.919113852f,
+   -0.382683432f, -0.923879533f,
+   -0.371317194f, -0.928506080f,
+   -0.359895037f, -0.932992799f,
+   -0.348418680f, -0.937339012f,
+   -0.336889853f, -0.941544065f,
+   -0.325310292f, -0.945607325f,
+   -0.313681740f, -0.949528181f,
+   -0.302005949f, -0.953306040f,
+   -0.290284677f, -0.956940336f,
+   -0.278519689f, -0.960430519f,
+   -0.266712757f, -0.963776066f,
+   -0.254865660f, -0.966976471f,
+   -0.242980180f, -0.970031253f,
+   -0.231058108f, -0.972939952f,
+   -0.219101240f, -0.975702130f,
+   -0.207111376f, -0.978317371f,
+   -0.195090322f, -0.980785280f,
+   -0.183039888f, -0.983105487f,
+   -0.170961889f, -0.985277642f,
+   -0.158858143f, -0.987301418f,
+   -0.146730474f, -0.989176510f,
+   -0.134580709f, -0.990902635f,
+   -0.122410675f, -0.992479535f,
+   -0.110222207f, -0.993906970f,
+   -0.098017140f, -0.995184727f,
+   -0.085797312f, -0.996312612f,
+   -0.073564564f, -0.997290457f,
+   -0.061320736f, -0.998118113f,
+   -0.049067674f, -0.998795456f,
+   -0.036807223f, -0.999322385f,
+   -0.024541229f, -0.999698819f,
+   -0.012271538f, -0.999924702f,
+   -0.000000000f, -1.000000000f,
+    0.012271538f, -0.999924702f,
+    0.024541229f, -0.999698819f,
+    0.036807223f, -0.999322385f,
+    0.049067674f, -0.998795456f,
+    0.061320736f, -0.998118113f,
+    0.073564564f, -0.997290457f,
+    0.085797312f, -0.996312612f,
+    0.098017140f, -0.995184727f,
+    0.110222207f, -0.993906970f,
+    0.122410675f, -0.992479535f,
+    0.134580709f, -0.990902635f,
+    0.146730474f, -0.989176510f,
+    0.158858143f, -0.987301418f,
+    0.170961889f, -0.985277642f,
+    0.183039888f, -0.983105487f,
+    0.195090322f, -0.980785280f,
+    0.207111376f, -0.978317371f,
+    0.219101240f, -0.975702130f,
+    0.231058108f, -0.972939952f,
+    0.242980180f, -0.970031253f,
+    0.254865660f, -0.966976471f,
+    0.266712757f, -0.963776066f,
+    0.278519689f, -0.960430519f,
+    0.290284677f, -0.956940336f,
+    0.302005949f, -0.953306040f,
+    0.313681740f, -0.949528181f,
+    0.325310292f, -0.945607325f,
+    0.336889853f, -0.941544065f,
+    0.348418680f, -0.937339012f,
+    0.359895037f, -0.932992799f,
+    0.371317194f, -0.928506080f,
+    0.382683432f, -0.923879533f,
+    0.393992040f, -0.919113852f,
+    0.405241314f, -0.914209756f,
+    0.416429560f, -0.909167983f,
+    0.427555093f, -0.903989293f,
+    0.438616239f, -0.898674466f,
+    0.449611330f, -0.893224301f,
+    0.460538711f, -0.887639620f,
+    0.471396737f, -0.881921264f,
+    0.482183772f, -0.876070094f,
+    0.492898192f, -0.870086991f,
+    0.503538384f, -0.863972856f,
+    0.514102744f, -0.857728610f,
+    0.524589683f, -0.851355193f,
+    0.534997620f, -0.844853565f,
+    0.545324988f, -0.838224706f,
+    0.555570233f, -0.831469612f,
+    0.565731811f, -0.824589303f,
+    0.575808191f, -0.817584813f,
+    0.585797857f, -0.810457198f,
+    0.595699304f, -0.803207531f,
+    0.605511041f, -0.795836905f,
+    0.615231591f, -0.788346428f,
+    0.624859488f, -0.780737229f,
+    0.634393284f, -0.773010453f,
+    0.643831543f, -0.765167266f,
+    0.653172843f, -0.757208847f,
+    0.662415778f, -0.749136395f,
+    0.671558955f, -0.740951125f,
+    0.680600998f, -0.732654272f,
+    0.689540545f, -0.724247083f,
+    0.698376249f, -0.715730825f,
+    0.707106781f, -0.707106781f,
+    0.715730825f, -0.698376249f,
+    0.724247083f, -0.689540545f,
+    0.732654272f, -0.680600998f,
+    0.740951125f, -0.671558955f,
+    0.749136395f, -0.662415778f,
+    0.757208847f, -0.653172843f,
+    0.765167266f, -0.643831543f,
+    0.773010453f, -0.634393284f,
+    0.780737229f, -0.624859488f,
+    0.788346428f, -0.615231591f,
+    0.795836905f, -0.605511041f,
+    0.803207531f, -0.595699304f,
+    0.810457198f, -0.585797857f,
+    0.817584813f, -0.575808191f,
+    0.824589303f, -0.565731811f,
+    0.831469612f, -0.555570233f,
+    0.838224706f, -0.545324988f,
+    0.844853565f, -0.534997620f,
+    0.851355193f, -0.524589683f,
+    0.857728610f, -0.514102744f,
+    0.863972856f, -0.503538384f,
+    0.870086991f, -0.492898192f,
+    0.876070094f, -0.482183772f,
+    0.881921264f, -0.471396737f,
+    0.887639620f, -0.460538711f,
+    0.893224301f, -0.449611330f,
+    0.898674466f, -0.438616239f,
+    0.903989293f, -0.427555093f,
+    0.909167983f, -0.416429560f,
+    0.914209756f, -0.405241314f,
+    0.919113852f, -0.393992040f,
+    0.923879533f, -0.382683432f,
+    0.928506080f, -0.371317194f,
+    0.932992799f, -0.359895037f,
+    0.937339012f, -0.348418680f,
+    0.941544065f, -0.336889853f,
+    0.945607325f, -0.325310292f,
+    0.949528181f, -0.313681740f,
+    0.953306040f, -0.302005949f,
+    0.956940336f, -0.290284677f,
+    0.960430519f, -0.278519689f,
+    0.963776066f, -0.266712757f,
+    0.966976471f, -0.254865660f,
+    0.970031253f, -0.242980180f,
+    0.972939952f, -0.231058108f,
+    0.975702130f, -0.219101240f,
+    0.978317371f, -0.207111376f,
+    0.980785280f, -0.195090322f,
+    0.983105487f, -0.183039888f,
+    0.985277642f, -0.170961889f,
+    0.987301418f, -0.158858143f,
+    0.989176510f, -0.146730474f,
+    0.990902635f, -0.134580709f,
+    0.992479535f, -0.122410675f,
+    0.993906970f, -0.110222207f,
+    0.995184727f, -0.098017140f,
+    0.996312612f, -0.085797312f,
+    0.997290457f, -0.073564564f,
+    0.998118113f, -0.061320736f,
+    0.998795456f, -0.049067674f,
+    0.999322385f, -0.036807223f,
+    0.999698819f, -0.024541229f,
+    0.999924702f, -0.012271538f
+};
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 1024	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_1024[2048] = {
+1.000000000f	,	0.000000000f	,
+0.999981175f	,	0.006135885f	,
+0.999924702f	,	0.012271538f	,
+0.999830582f	,	0.018406730f	,
+0.999698819f	,	0.024541229f	,
+0.999529418f	,	0.030674803f	,
+0.999322385f	,	0.036807223f	,
+0.999077728f	,	0.042938257f	,
+0.998795456f	,	0.049067674f	,
+0.998475581f	,	0.055195244f	,
+0.998118113f	,	0.061320736f	,
+0.997723067f	,	0.067443920f	,
+0.997290457f	,	0.073564564f	,
+0.996820299f	,	0.079682438f	,
+0.996312612f	,	0.085797312f	,
+0.995767414f	,	0.091908956f	,
+0.995184727f	,	0.098017140f	,
+0.994564571f	,	0.104121634f	,
+0.993906970f	,	0.110222207f	,
+0.993211949f	,	0.116318631f	,
+0.992479535f	,	0.122410675f	,
+0.991709754f	,	0.128498111f	,
+0.990902635f	,	0.134580709f	,
+0.990058210f	,	0.140658239f	,
+0.989176510f	,	0.146730474f	,
+0.988257568f	,	0.152797185f	,
+0.987301418f	,	0.158858143f	,
+0.986308097f	,	0.164913120f	,
+0.985277642f	,	0.170961889f	,
+0.984210092f	,	0.177004220f	,
+0.983105487f	,	0.183039888f	,
+0.981963869f	,	0.189068664f	,
+0.980785280f	,	0.195090322f	,
+0.979569766f	,	0.201104635f	,
+0.978317371f	,	0.207111376f	,
+0.977028143f	,	0.213110320f	,
+0.975702130f	,	0.219101240f	,
+0.974339383f	,	0.225083911f	,
+0.972939952f	,	0.231058108f	,
+0.971503891f	,	0.237023606f	,
+0.970031253f	,	0.242980180f	,
+0.968522094f	,	0.248927606f	,
+0.966976471f	,	0.254865660f	,
+0.965394442f	,	0.260794118f	,
+0.963776066f	,	0.266712757f	,
+0.962121404f	,	0.272621355f	,
+0.960430519f	,	0.278519689f	,
+0.958703475f	,	0.284407537f	,
+0.956940336f	,	0.290284677f	,
+0.955141168f	,	0.296150888f	,
+0.953306040f	,	0.302005949f	,
+0.951435021f	,	0.307849640f	,
+0.949528181f	,	0.313681740f	,
+0.947585591f	,	0.319502031f	,
+0.945607325f	,	0.325310292f	,
+0.943593458f	,	0.331106306f	,
+0.941544065f	,	0.336889853f	,
+0.939459224f	,	0.342660717f	,
+0.937339012f	,	0.348418680f	,
+0.935183510f	,	0.354163525f	,
+0.932992799f	,	0.359895037f	,
+0.930766961f	,	0.365612998f	,
+0.928506080f	,	0.371317194f	,
+0.926210242f	,	0.377007410f	,
+0.923879533f	,	0.382683432f	,
+0.921514039f	,	0.388345047f	,
+0.919113852f	,	0.393992040f	,
+0.916679060f	,	0.399624200f	,
+0.914209756f	,	0.405241314f	,
+0.911706032f	,	0.410843171f	,
+0.909167983f	,	0.416429560f	,
+0.906595705f	,	0.422000271f	,
+0.903989293f	,	0.427555093f	,
+0.901348847f	,	0.433093819f	,
+0.898674466f	,	0.438616239f	,
+0.895966250f	,	0.444122145f	,
+0.893224301f	,	0.449611330f	,
+0.890448723f	,	0.455083587f	,
+0.887639620f	,	0.460538711f	,
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+0.410843171f	,	-0.911706032f	,
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+0.422000271f	,	-0.906595705f	,
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+0.433093819f	,	-0.901348847f	,
+0.438616239f	,	-0.898674466f	,
+0.444122145f	,	-0.895966250f	,
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+0.555570233f	,	-0.831469612f	,
+0.560661576f	,	-0.828045045f	,
+0.565731811f	,	-0.824589303f	,
+0.570780746f	,	-0.821102515f	,
+0.575808191f	,	-0.817584813f	,
+0.580813958f	,	-0.814036330f	,
+0.585797857f	,	-0.810457198f	,
+0.590759702f	,	-0.806847554f	,
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+0.610382806f	,	-0.792106577f	,
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+0.620057212f	,	-0.784556597f	,
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+0.666999922f	,	-0.745057785f	,
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+0.680600998f	,	-0.732654272f	,
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+0.693971461f	,	-0.720002508f	,
+0.698376249f	,	-0.715730825f	,
+0.702754744f	,	-0.711432196f	,
+0.707106781f	,	-0.707106781f	,
+0.711432196f	,	-0.702754744f	,
+0.715730825f	,	-0.698376249f	,
+0.720002508f	,	-0.693971461f	,
+0.724247083f	,	-0.689540545f	,
+0.728464390f	,	-0.685083668f	,
+0.732654272f	,	-0.680600998f	,
+0.736816569f	,	-0.676092704f	,
+0.740951125f	,	-0.671558955f	,
+0.745057785f	,	-0.666999922f	,
+0.749136395f	,	-0.662415778f	,
+0.753186799f	,	-0.657806693f	,
+0.757208847f	,	-0.653172843f	,
+0.761202385f	,	-0.648514401f	,
+0.765167266f	,	-0.643831543f	,
+0.769103338f	,	-0.639124445f	,
+0.773010453f	,	-0.634393284f	,
+0.776888466f	,	-0.629638239f	,
+0.780737229f	,	-0.624859488f	,
+0.784556597f	,	-0.620057212f	,
+0.788346428f	,	-0.615231591f	,
+0.792106577f	,	-0.610382806f	,
+0.795836905f	,	-0.605511041f	,
+0.799537269f	,	-0.600616479f	,
+0.803207531f	,	-0.595699304f	,
+0.806847554f	,	-0.590759702f	,
+0.810457198f	,	-0.585797857f	,
+0.814036330f	,	-0.580813958f	,
+0.817584813f	,	-0.575808191f	,
+0.821102515f	,	-0.570780746f	,
+0.824589303f	,	-0.565731811f	,
+0.828045045f	,	-0.560661576f	,
+0.831469612f	,	-0.555570233f	,
+0.834862875f	,	-0.550457973f	,
+0.838224706f	,	-0.545324988f	,
+0.841554977f	,	-0.540171473f	,
+0.844853565f	,	-0.534997620f	,
+0.848120345f	,	-0.529803625f	,
+0.851355193f	,	-0.524589683f	,
+0.854557988f	,	-0.519355990f	,
+0.857728610f	,	-0.514102744f	,
+0.860866939f	,	-0.508830143f	,
+0.863972856f	,	-0.503538384f	,
+0.867046246f	,	-0.498227667f	,
+0.870086991f	,	-0.492898192f	,
+0.873094978f	,	-0.487550160f	,
+0.876070094f	,	-0.482183772f	,
+0.879012226f	,	-0.476799230f	,
+0.881921264f	,	-0.471396737f	,
+0.884797098f	,	-0.465976496f	,
+0.887639620f	,	-0.460538711f	,
+0.890448723f	,	-0.455083587f	,
+0.893224301f	,	-0.449611330f	,
+0.895966250f	,	-0.444122145f	,
+0.898674466f	,	-0.438616239f	,
+0.901348847f	,	-0.433093819f	,
+0.903989293f	,	-0.427555093f	,
+0.906595705f	,	-0.422000271f	,
+0.909167983f	,	-0.416429560f	,
+0.911706032f	,	-0.410843171f	,
+0.914209756f	,	-0.405241314f	,
+0.916679060f	,	-0.399624200f	,
+0.919113852f	,	-0.393992040f	,
+0.921514039f	,	-0.388345047f	,
+0.923879533f	,	-0.382683432f	,
+0.926210242f	,	-0.377007410f	,
+0.928506080f	,	-0.371317194f	,
+0.930766961f	,	-0.365612998f	,
+0.932992799f	,	-0.359895037f	,
+0.935183510f	,	-0.354163525f	,
+0.937339012f	,	-0.348418680f	,
+0.939459224f	,	-0.342660717f	,
+0.941544065f	,	-0.336889853f	,
+0.943593458f	,	-0.331106306f	,
+0.945607325f	,	-0.325310292f	,
+0.947585591f	,	-0.319502031f	,
+0.949528181f	,	-0.313681740f	,
+0.951435021f	,	-0.307849640f	,
+0.953306040f	,	-0.302005949f	,
+0.955141168f	,	-0.296150888f	,
+0.956940336f	,	-0.290284677f	,
+0.958703475f	,	-0.284407537f	,
+0.960430519f	,	-0.278519689f	,
+0.962121404f	,	-0.272621355f	,
+0.963776066f	,	-0.266712757f	,
+0.965394442f	,	-0.260794118f	,
+0.966976471f	,	-0.254865660f	,
+0.968522094f	,	-0.248927606f	,
+0.970031253f	,	-0.242980180f	,
+0.971503891f	,	-0.237023606f	,
+0.972939952f	,	-0.231058108f	,
+0.974339383f	,	-0.225083911f	,
+0.975702130f	,	-0.219101240f	,
+0.977028143f	,	-0.213110320f	,
+0.978317371f	,	-0.207111376f	,
+0.979569766f	,	-0.201104635f	,
+0.980785280f	,	-0.195090322f	,
+0.981963869f	,	-0.189068664f	,
+0.983105487f	,	-0.183039888f	,
+0.984210092f	,	-0.177004220f	,
+0.985277642f	,	-0.170961889f	,
+0.986308097f	,	-0.164913120f	,
+0.987301418f	,	-0.158858143f	,
+0.988257568f	,	-0.152797185f	,
+0.989176510f	,	-0.146730474f	,
+0.990058210f	,	-0.140658239f	,
+0.990902635f	,	-0.134580709f	,
+0.991709754f	,	-0.128498111f	,
+0.992479535f	,	-0.122410675f	,
+0.993211949f	,	-0.116318631f	,
+0.993906970f	,	-0.110222207f	,
+0.994564571f	,	-0.104121634f	,
+0.995184727f	,	-0.098017140f	,
+0.995767414f	,	-0.091908956f	,
+0.996312612f	,	-0.085797312f	,
+0.996820299f	,	-0.079682438f	,
+0.997290457f	,	-0.073564564f	,
+0.997723067f	,	-0.067443920f	,
+0.998118113f	,	-0.061320736f	,
+0.998475581f	,	-0.055195244f	,
+0.998795456f	,	-0.049067674f	,
+0.999077728f	,	-0.042938257f	,
+0.999322385f	,	-0.036807223f	,
+0.999529418f	,	-0.030674803f	,
+0.999698819f	,	-0.024541229f	,
+0.999830582f	,	-0.018406730f	,
+0.999924702f	,	-0.012271538f	,
+0.999981175f	,	-0.006135885f
+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 2048	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_2048[4096] = {
+    1.000000000f,  0.000000000f,
+    0.999995294f,  0.003067957f,
+    0.999981175f,  0.006135885f,
+    0.999957645f,  0.009203755f,
+    0.999924702f,  0.012271538f,
+    0.999882347f,  0.015339206f,
+    0.999830582f,  0.018406730f,
+    0.999769405f,  0.021474080f,
+    0.999698819f,  0.024541229f,
+    0.999618822f,  0.027608146f,
+    0.999529418f,  0.030674803f,
+    0.999430605f,  0.033741172f,
+    0.999322385f,  0.036807223f,
+    0.999204759f,  0.039872928f,
+    0.999077728f,  0.042938257f,
+    0.998941293f,  0.046003182f,
+    0.998795456f,  0.049067674f,
+    0.998640218f,  0.052131705f,
+    0.998475581f,  0.055195244f,
+    0.998301545f,  0.058258265f,
+    0.998118113f,  0.061320736f,
+    0.997925286f,  0.064382631f,
+    0.997723067f,  0.067443920f,
+    0.997511456f,  0.070504573f,
+    0.997290457f,  0.073564564f,
+    0.997060070f,  0.076623861f,
+    0.996820299f,  0.079682438f,
+    0.996571146f,  0.082740265f,
+    0.996312612f,  0.085797312f,
+    0.996044701f,  0.088853553f,
+    0.995767414f,  0.091908956f,
+    0.995480755f,  0.094963495f,
+    0.995184727f,  0.098017140f,
+    0.994879331f,  0.101069863f,
+    0.994564571f,  0.104121634f,
+    0.994240449f,  0.107172425f,
+    0.993906970f,  0.110222207f,
+    0.993564136f,  0.113270952f,
+    0.993211949f,  0.116318631f,
+    0.992850414f,  0.119365215f,
+    0.992479535f,  0.122410675f,
+    0.992099313f,  0.125454983f,
+    0.991709754f,  0.128498111f,
+    0.991310860f,  0.131540029f,
+    0.990902635f,  0.134580709f,
+    0.990485084f,  0.137620122f,
+    0.990058210f,  0.140658239f,
+    0.989622017f,  0.143695033f,
+    0.989176510f,  0.146730474f,
+    0.988721692f,  0.149764535f,
+    0.988257568f,  0.152797185f,
+    0.987784142f,  0.155828398f,
+    0.987301418f,  0.158858143f,
+    0.986809402f,  0.161886394f,
+    0.986308097f,  0.164913120f,
+    0.985797509f,  0.167938295f,
+    0.985277642f,  0.170961889f,
+    0.984748502f,  0.173983873f,
+    0.984210092f,  0.177004220f,
+    0.983662419f,  0.180022901f,
+    0.983105487f,  0.183039888f,
+    0.982539302f,  0.186055152f,
+    0.981963869f,  0.189068664f,
+    0.981379193f,  0.192080397f,
+    0.980785280f,  0.195090322f,
+    0.980182136f,  0.198098411f,
+    0.979569766f,  0.201104635f,
+    0.978948175f,  0.204108966f,
+    0.978317371f,  0.207111376f,
+    0.977677358f,  0.210111837f,
+    0.977028143f,  0.213110320f,
+    0.976369731f,  0.216106797f,
+    0.975702130f,  0.219101240f,
+    0.975025345f,  0.222093621f,
+    0.974339383f,  0.225083911f,
+    0.973644250f,  0.228072083f,
+    0.972939952f,  0.231058108f,
+    0.972226497f,  0.234041959f,
+    0.971503891f,  0.237023606f,
+    0.970772141f,  0.240003022f,
+    0.970031253f,  0.242980180f,
+    0.969281235f,  0.245955050f,
+    0.968522094f,  0.248927606f,
+    0.967753837f,  0.251897818f,
+    0.966976471f,  0.254865660f,
+    0.966190003f,  0.257831102f,
+    0.965394442f,  0.260794118f,
+    0.964589793f,  0.263754679f,
+    0.963776066f,  0.266712757f,
+    0.962953267f,  0.269668326f,
+    0.962121404f,  0.272621355f,
+    0.961280486f,  0.275571819f,
+    0.960430519f,  0.278519689f,
+    0.959571513f,  0.281464938f,
+    0.958703475f,  0.284407537f,
+    0.957826413f,  0.287347460f,
+    0.956940336f,  0.290284677f,
+    0.956045251f,  0.293219163f,
+    0.955141168f,  0.296150888f,
+    0.954228095f,  0.299079826f,
+    0.953306040f,  0.302005949f,
+    0.952375013f,  0.304929230f,
+    0.951435021f,  0.307849640f,
+    0.950486074f,  0.310767153f,
+    0.949528181f,  0.313681740f,
+    0.948561350f,  0.316593376f,
+    0.947585591f,  0.319502031f,
+    0.946600913f,  0.322407679f,
+    0.945607325f,  0.325310292f,
+    0.944604837f,  0.328209844f,
+    0.943593458f,  0.331106306f,
+    0.942573198f,  0.333999651f,
+    0.941544065f,  0.336889853f,
+    0.940506071f,  0.339776884f,
+    0.939459224f,  0.342660717f,
+    0.938403534f,  0.345541325f,
+    0.937339012f,  0.348418680f,
+    0.936265667f,  0.351292756f,
+    0.935183510f,  0.354163525f,
+    0.934092550f,  0.357030961f,
+    0.932992799f,  0.359895037f,
+    0.931884266f,  0.362755724f,
+    0.930766961f,  0.365612998f,
+    0.929640896f,  0.368466830f,
+    0.928506080f,  0.371317194f,
+    0.927362526f,  0.374164063f,
+    0.926210242f,  0.377007410f,
+    0.925049241f,  0.379847209f,
+    0.923879533f,  0.382683432f,
+    0.922701128f,  0.385516054f,
+    0.921514039f,  0.388345047f,
+    0.920318277f,  0.391170384f,
+    0.919113852f,  0.393992040f,
+    0.917900776f,  0.396809987f,
+    0.916679060f,  0.399624200f,
+    0.915448716f,  0.402434651f,
+    0.914209756f,  0.405241314f,
+    0.912962190f,  0.408044163f,
+    0.911706032f,  0.410843171f,
+    0.910441292f,  0.413638312f,
+    0.909167983f,  0.416429560f,
+    0.907886116f,  0.419216888f,
+    0.906595705f,  0.422000271f,
+    0.905296759f,  0.424779681f,
+    0.903989293f,  0.427555093f,
+    0.902673318f,  0.430326481f,
+    0.901348847f,  0.433093819f,
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+};
+
+/**    
+* \par    
+* Example code for Floating-point Twiddle factors Generation:    
+* \par    
+* <pre>for(i = 0; i< N/; i++)    
+* {    
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 4096	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are in interleaved fashion    
+*     
+*/
+const float32_t twiddleCoef_4096[8192] = {
+    1.000000000f,  0.000000000f,
+    0.999998823f,  0.001533980f,
+    0.999995294f,  0.003067957f,
+    0.999989411f,  0.004601926f,
+    0.999981175f,  0.006135885f,
+    0.999970586f,  0.007669829f,
+    0.999957645f,  0.009203755f,
+    0.999942350f,  0.010737659f,
+    0.999924702f,  0.012271538f,
+    0.999904701f,  0.013805389f,
+    0.999882347f,  0.015339206f,
+    0.999857641f,  0.016872988f,
+    0.999830582f,  0.018406730f,
+    0.999801170f,  0.019940429f,
+    0.999769405f,  0.021474080f,
+    0.999735288f,  0.023007681f,
+    0.999698819f,  0.024541229f,
+    0.999659997f,  0.026074718f,
+    0.999618822f,  0.027608146f,
+    0.999575296f,  0.029141509f,
+    0.999529418f,  0.030674803f,
+    0.999481187f,  0.032208025f,
+    0.999430605f,  0.033741172f,
+    0.999377670f,  0.035274239f,
+    0.999322385f,  0.036807223f,
+    0.999264747f,  0.038340120f,
+    0.999204759f,  0.039872928f,
+    0.999142419f,  0.041405641f,
+    0.999077728f,  0.042938257f,
+    0.999010686f,  0.044470772f,
+    0.998941293f,  0.046003182f,
+    0.998869550f,  0.047535484f,
+    0.998795456f,  0.049067674f,
+    0.998719012f,  0.050599749f,
+    0.998640218f,  0.052131705f,
+    0.998559074f,  0.053663538f,
+    0.998475581f,  0.055195244f,
+    0.998389737f,  0.056726821f,
+    0.998301545f,  0.058258265f,
+    0.998211003f,  0.059789571f,
+    0.998118113f,  0.061320736f,
+    0.998022874f,  0.062851758f,
+    0.997925286f,  0.064382631f,
+    0.997825350f,  0.065913353f,
+    0.997723067f,  0.067443920f,
+    0.997618435f,  0.068974328f,
+    0.997511456f,  0.070504573f,
+    0.997402130f,  0.072034653f,
+    0.997290457f,  0.073564564f,
+    0.997176437f,  0.075094301f,
+    0.997060070f,  0.076623861f,
+    0.996941358f,  0.078153242f,
+    0.996820299f,  0.079682438f,
+    0.996696895f,  0.081211447f,
+    0.996571146f,  0.082740265f,
+    0.996443051f,  0.084268888f,
+    0.996312612f,  0.085797312f,
+    0.996179829f,  0.087325535f,
+    0.996044701f,  0.088853553f,
+    0.995907229f,  0.090381361f,
+    0.995767414f,  0.091908956f,
+    0.995625256f,  0.093436336f,
+    0.995480755f,  0.094963495f,
+    0.995333912f,  0.096490431f,
+    0.995184727f,  0.098017140f,
+    0.995033199f,  0.099543619f,
+    0.994879331f,  0.101069863f,
+    0.994723121f,  0.102595869f,
+    0.994564571f,  0.104121634f,
+    0.994403680f,  0.105647154f,
+    0.994240449f,  0.107172425f,
+    0.994074879f,  0.108697444f,
+    0.993906970f,  0.110222207f,
+    0.993736722f,  0.111746711f,
+    0.993564136f,  0.113270952f,
+    0.993389211f,  0.114794927f,
+    0.993211949f,  0.116318631f,
+    0.993032350f,  0.117842062f,
+    0.992850414f,  0.119365215f,
+    0.992666142f,  0.120888087f,
+    0.992479535f,  0.122410675f,
+    0.992290591f,  0.123932975f,
+    0.992099313f,  0.125454983f,
+    0.991905700f,  0.126976696f,
+    0.991709754f,  0.128498111f,
+    0.991511473f,  0.130019223f,
+    0.991310860f,  0.131540029f,
+    0.991107914f,  0.133060525f,
+    0.990902635f,  0.134580709f,
+    0.990695025f,  0.136100575f,
+    0.990485084f,  0.137620122f,
+    0.990272812f,  0.139139344f,
+    0.990058210f,  0.140658239f,
+    0.989841278f,  0.142176804f,
+    0.989622017f,  0.143695033f,
+    0.989400428f,  0.145212925f,
+    0.989176510f,  0.146730474f,
+    0.988950265f,  0.148247679f,
+    0.988721692f,  0.149764535f,
+    0.988490793f,  0.151281038f,
+    0.988257568f,  0.152797185f,
+    0.988022017f,  0.154312973f,
+    0.987784142f,  0.155828398f,
+    0.987543942f,  0.157343456f,
+    0.987301418f,  0.158858143f,
+    0.987056571f,  0.160372457f,
+    0.986809402f,  0.161886394f,
+    0.986559910f,  0.163399949f,
+    0.986308097f,  0.164913120f,
+    0.986053963f,  0.166425904f,
+    0.985797509f,  0.167938295f,
+    0.985538735f,  0.169450291f,
+    0.985277642f,  0.170961889f,
+    0.985014231f,  0.172473084f,
+    0.984748502f,  0.173983873f,
+    0.984480455f,  0.175494253f,
+    0.984210092f,  0.177004220f,
+    0.983937413f,  0.178513771f,
+    0.983662419f,  0.180022901f,
+    0.983385110f,  0.181531608f,
+    0.983105487f,  0.183039888f,
+    0.982823551f,  0.184547737f,
+    0.982539302f,  0.186055152f,
+    0.982252741f,  0.187562129f,
+    0.981963869f,  0.189068664f,
+    0.981672686f,  0.190574755f,
+    0.981379193f,  0.192080397f,
+    0.981083391f,  0.193585587f,
+    0.980785280f,  0.195090322f,
+    0.980484862f,  0.196594598f,
+    0.980182136f,  0.198098411f,
+    0.979877104f,  0.199601758f,
+    0.979569766f,  0.201104635f,
+    0.979260123f,  0.202607039f,
+    0.978948175f,  0.204108966f,
+    0.978633924f,  0.205610413f,
+    0.978317371f,  0.207111376f,
+    0.977998515f,  0.208611852f,
+    0.977677358f,  0.210111837f,
+    0.977353900f,  0.211611327f,
+    0.977028143f,  0.213110320f,
+    0.976700086f,  0.214608811f,
+    0.976369731f,  0.216106797f,
+    0.976037079f,  0.217604275f,
+    0.975702130f,  0.219101240f,
+    0.975364885f,  0.220597690f,
+    0.975025345f,  0.222093621f,
+    0.974683511f,  0.223589029f,
+    0.974339383f,  0.225083911f,
+    0.973992962f,  0.226578264f,
+    0.973644250f,  0.228072083f,
+    0.973293246f,  0.229565366f,
+    0.972939952f,  0.231058108f,
+    0.972584369f,  0.232550307f,
+    0.972226497f,  0.234041959f,
+    0.971866337f,  0.235533059f,
+    0.971503891f,  0.237023606f,
+    0.971139158f,  0.238513595f,
+    0.970772141f,  0.240003022f,
+    0.970402839f,  0.241491885f,
+    0.970031253f,  0.242980180f,
+    0.969657385f,  0.244467903f,
+    0.969281235f,  0.245955050f,
+    0.968902805f,  0.247441619f,
+    0.968522094f,  0.248927606f,
+    0.968139105f,  0.250413007f,
+    0.967753837f,  0.251897818f,
+    0.967366292f,  0.253382037f,
+    0.966976471f,  0.254865660f,
+    0.966584374f,  0.256348682f,
+    0.966190003f,  0.257831102f,
+    0.965793359f,  0.259312915f,
+    0.965394442f,  0.260794118f,
+    0.964993253f,  0.262274707f,
+    0.964589793f,  0.263754679f,
+    0.964184064f,  0.265234030f,
+    0.963776066f,  0.266712757f,
+    0.963365800f,  0.268190857f,
+    0.962953267f,  0.269668326f,
+    0.962538468f,  0.271145160f,
+    0.962121404f,  0.272621355f,
+    0.961702077f,  0.274096910f,
+    0.961280486f,  0.275571819f,
+    0.960856633f,  0.277046080f,
+    0.960430519f,  0.278519689f,
+    0.960002146f,  0.279992643f,
+    0.959571513f,  0.281464938f,
+    0.959138622f,  0.282936570f,
+    0.958703475f,  0.284407537f,
+    0.958266071f,  0.285877835f,
+    0.957826413f,  0.287347460f,
+    0.957384501f,  0.288816408f,
+    0.956940336f,  0.290284677f,
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+    0.955594334f,  0.294685372f,
+    0.955141168f,  0.296150888f,
+    0.954685755f,  0.297615707f,
+    0.954228095f,  0.299079826f,
+    0.953768190f,  0.300543241f,
+    0.953306040f,  0.302005949f,
+    0.952841648f,  0.303467947f,
+    0.952375013f,  0.304929230f,
+    0.951906137f,  0.306389795f,
+    0.951435021f,  0.307849640f,
+    0.950961666f,  0.309308760f,
+    0.950486074f,  0.310767153f,
+    0.950008245f,  0.312224814f,
+    0.949528181f,  0.313681740f,
+    0.949045882f,  0.315137929f,
+    0.948561350f,  0.316593376f,
+    0.948074586f,  0.318048077f,
+    0.947585591f,  0.319502031f,
+    0.947094366f,  0.320955232f,
+    0.946600913f,  0.322407679f,
+    0.946105232f,  0.323859367f,
+    0.945607325f,  0.325310292f,
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+    0.911074734f, -0.412241227f,
+    0.911706032f, -0.410843171f,
+    0.912335185f, -0.409444149f,
+    0.912962190f, -0.408044163f,
+    0.913587048f, -0.406643217f,
+    0.914209756f, -0.405241314f,
+    0.914830312f, -0.403838458f,
+    0.915448716f, -0.402434651f,
+    0.916064966f, -0.401029897f,
+    0.916679060f, -0.399624200f,
+    0.917290997f, -0.398217562f,
+    0.917900776f, -0.396809987f,
+    0.918508394f, -0.395401479f,
+    0.919113852f, -0.393992040f,
+    0.919717146f, -0.392581674f,
+    0.920318277f, -0.391170384f,
+    0.920917242f, -0.389758174f,
+    0.921514039f, -0.388345047f,
+    0.922108669f, -0.386931006f,
+    0.922701128f, -0.385516054f,
+    0.923291417f, -0.384100195f,
+    0.923879533f, -0.382683432f,
+    0.924465474f, -0.381265769f,
+    0.925049241f, -0.379847209f,
+    0.925630831f, -0.378427755f,
+    0.926210242f, -0.377007410f,
+    0.926787474f, -0.375586178f,
+    0.927362526f, -0.374164063f,
+    0.927935395f, -0.372741067f,
+    0.928506080f, -0.371317194f,
+    0.929074581f, -0.369892447f,
+    0.929640896f, -0.368466830f,
+    0.930205023f, -0.367040346f,
+    0.930766961f, -0.365612998f,
+    0.931326709f, -0.364184790f,
+    0.931884266f, -0.362755724f,
+    0.932439629f, -0.361325806f,
+    0.932992799f, -0.359895037f,
+    0.933543773f, -0.358463421f,
+    0.934092550f, -0.357030961f,
+    0.934639130f, -0.355597662f,
+    0.935183510f, -0.354163525f,
+    0.935725689f, -0.352728556f,
+    0.936265667f, -0.351292756f,
+    0.936803442f, -0.349856130f,
+    0.937339012f, -0.348418680f,
+    0.937872376f, -0.346980411f,
+    0.938403534f, -0.345541325f,
+    0.938932484f, -0.344101426f,
+    0.939459224f, -0.342660717f,
+    0.939983753f, -0.341219202f,
+    0.940506071f, -0.339776884f,
+    0.941026175f, -0.338333767f,
+    0.941544065f, -0.336889853f,
+    0.942059740f, -0.335445147f,
+    0.942573198f, -0.333999651f,
+    0.943084437f, -0.332553370f,
+    0.943593458f, -0.331106306f,
+    0.944100258f, -0.329658463f,
+    0.944604837f, -0.328209844f,
+    0.945107193f, -0.326760452f,
+    0.945607325f, -0.325310292f,
+    0.946105232f, -0.323859367f,
+    0.946600913f, -0.322407679f,
+    0.947094366f, -0.320955232f,
+    0.947585591f, -0.319502031f,
+    0.948074586f, -0.318048077f,
+    0.948561350f, -0.316593376f,
+    0.949045882f, -0.315137929f,
+    0.949528181f, -0.313681740f,
+    0.950008245f, -0.312224814f,
+    0.950486074f, -0.310767153f,
+    0.950961666f, -0.309308760f,
+    0.951435021f, -0.307849640f,
+    0.951906137f, -0.306389795f,
+    0.952375013f, -0.304929230f,
+    0.952841648f, -0.303467947f,
+    0.953306040f, -0.302005949f,
+    0.953768190f, -0.300543241f,
+    0.954228095f, -0.299079826f,
+    0.954685755f, -0.297615707f,
+    0.955141168f, -0.296150888f,
+    0.955594334f, -0.294685372f,
+    0.956045251f, -0.293219163f,
+    0.956493919f, -0.291752263f,
+    0.956940336f, -0.290284677f,
+    0.957384501f, -0.288816408f,
+    0.957826413f, -0.287347460f,
+    0.958266071f, -0.285877835f,
+    0.958703475f, -0.284407537f,
+    0.959138622f, -0.282936570f,
+    0.959571513f, -0.281464938f,
+    0.960002146f, -0.279992643f,
+    0.960430519f, -0.278519689f,
+    0.960856633f, -0.277046080f,
+    0.961280486f, -0.275571819f,
+    0.961702077f, -0.274096910f,
+    0.962121404f, -0.272621355f,
+    0.962538468f, -0.271145160f,
+    0.962953267f, -0.269668326f,
+    0.963365800f, -0.268190857f,
+    0.963776066f, -0.266712757f,
+    0.964184064f, -0.265234030f,
+    0.964589793f, -0.263754679f,
+    0.964993253f, -0.262274707f,
+    0.965394442f, -0.260794118f,
+    0.965793359f, -0.259312915f,
+    0.966190003f, -0.257831102f,
+    0.966584374f, -0.256348682f,
+    0.966976471f, -0.254865660f,
+    0.967366292f, -0.253382037f,
+    0.967753837f, -0.251897818f,
+    0.968139105f, -0.250413007f,
+    0.968522094f, -0.248927606f,
+    0.968902805f, -0.247441619f,
+    0.969281235f, -0.245955050f,
+    0.969657385f, -0.244467903f,
+    0.970031253f, -0.242980180f,
+    0.970402839f, -0.241491885f,
+    0.970772141f, -0.240003022f,
+    0.971139158f, -0.238513595f,
+    0.971503891f, -0.237023606f,
+    0.971866337f, -0.235533059f,
+    0.972226497f, -0.234041959f,
+    0.972584369f, -0.232550307f,
+    0.972939952f, -0.231058108f,
+    0.973293246f, -0.229565366f,
+    0.973644250f, -0.228072083f,
+    0.973992962f, -0.226578264f,
+    0.974339383f, -0.225083911f,
+    0.974683511f, -0.223589029f,
+    0.975025345f, -0.222093621f,
+    0.975364885f, -0.220597690f,
+    0.975702130f, -0.219101240f,
+    0.976037079f, -0.217604275f,
+    0.976369731f, -0.216106797f,
+    0.976700086f, -0.214608811f,
+    0.977028143f, -0.213110320f,
+    0.977353900f, -0.211611327f,
+    0.977677358f, -0.210111837f,
+    0.977998515f, -0.208611852f,
+    0.978317371f, -0.207111376f,
+    0.978633924f, -0.205610413f,
+    0.978948175f, -0.204108966f,
+    0.979260123f, -0.202607039f,
+    0.979569766f, -0.201104635f,
+    0.979877104f, -0.199601758f,
+    0.980182136f, -0.198098411f,
+    0.980484862f, -0.196594598f,
+    0.980785280f, -0.195090322f,
+    0.981083391f, -0.193585587f,
+    0.981379193f, -0.192080397f,
+    0.981672686f, -0.190574755f,
+    0.981963869f, -0.189068664f,
+    0.982252741f, -0.187562129f,
+    0.982539302f, -0.186055152f,
+    0.982823551f, -0.184547737f,
+    0.983105487f, -0.183039888f,
+    0.983385110f, -0.181531608f,
+    0.983662419f, -0.180022901f,
+    0.983937413f, -0.178513771f,
+    0.984210092f, -0.177004220f,
+    0.984480455f, -0.175494253f,
+    0.984748502f, -0.173983873f,
+    0.985014231f, -0.172473084f,
+    0.985277642f, -0.170961889f,
+    0.985538735f, -0.169450291f,
+    0.985797509f, -0.167938295f,
+    0.986053963f, -0.166425904f,
+    0.986308097f, -0.164913120f,
+    0.986559910f, -0.163399949f,
+    0.986809402f, -0.161886394f,
+    0.987056571f, -0.160372457f,
+    0.987301418f, -0.158858143f,
+    0.987543942f, -0.157343456f,
+    0.987784142f, -0.155828398f,
+    0.988022017f, -0.154312973f,
+    0.988257568f, -0.152797185f,
+    0.988490793f, -0.151281038f,
+    0.988721692f, -0.149764535f,
+    0.988950265f, -0.148247679f,
+    0.989176510f, -0.146730474f,
+    0.989400428f, -0.145212925f,
+    0.989622017f, -0.143695033f,
+    0.989841278f, -0.142176804f,
+    0.990058210f, -0.140658239f,
+    0.990272812f, -0.139139344f,
+    0.990485084f, -0.137620122f,
+    0.990695025f, -0.136100575f,
+    0.990902635f, -0.134580709f,
+    0.991107914f, -0.133060525f,
+    0.991310860f, -0.131540029f,
+    0.991511473f, -0.130019223f,
+    0.991709754f, -0.128498111f,
+    0.991905700f, -0.126976696f,
+    0.992099313f, -0.125454983f,
+    0.992290591f, -0.123932975f,
+    0.992479535f, -0.122410675f,
+    0.992666142f, -0.120888087f,
+    0.992850414f, -0.119365215f,
+    0.993032350f, -0.117842062f,
+    0.993211949f, -0.116318631f,
+    0.993389211f, -0.114794927f,
+    0.993564136f, -0.113270952f,
+    0.993736722f, -0.111746711f,
+    0.993906970f, -0.110222207f,
+    0.994074879f, -0.108697444f,
+    0.994240449f, -0.107172425f,
+    0.994403680f, -0.105647154f,
+    0.994564571f, -0.104121634f,
+    0.994723121f, -0.102595869f,
+    0.994879331f, -0.101069863f,
+    0.995033199f, -0.099543619f,
+    0.995184727f, -0.098017140f,
+    0.995333912f, -0.096490431f,
+    0.995480755f, -0.094963495f,
+    0.995625256f, -0.093436336f,
+    0.995767414f, -0.091908956f,
+    0.995907229f, -0.090381361f,
+    0.996044701f, -0.088853553f,
+    0.996179829f, -0.087325535f,
+    0.996312612f, -0.085797312f,
+    0.996443051f, -0.084268888f,
+    0.996571146f, -0.082740265f,
+    0.996696895f, -0.081211447f,
+    0.996820299f, -0.079682438f,
+    0.996941358f, -0.078153242f,
+    0.997060070f, -0.076623861f,
+    0.997176437f, -0.075094301f,
+    0.997290457f, -0.073564564f,
+    0.997402130f, -0.072034653f,
+    0.997511456f, -0.070504573f,
+    0.997618435f, -0.068974328f,
+    0.997723067f, -0.067443920f,
+    0.997825350f, -0.065913353f,
+    0.997925286f, -0.064382631f,
+    0.998022874f, -0.062851758f,
+    0.998118113f, -0.061320736f,
+    0.998211003f, -0.059789571f,
+    0.998301545f, -0.058258265f,
+    0.998389737f, -0.056726821f,
+    0.998475581f, -0.055195244f,
+    0.998559074f, -0.053663538f,
+    0.998640218f, -0.052131705f,
+    0.998719012f, -0.050599749f,
+    0.998795456f, -0.049067674f,
+    0.998869550f, -0.047535484f,
+    0.998941293f, -0.046003182f,
+    0.999010686f, -0.044470772f,
+    0.999077728f, -0.042938257f,
+    0.999142419f, -0.041405641f,
+    0.999204759f, -0.039872928f,
+    0.999264747f, -0.038340120f,
+    0.999322385f, -0.036807223f,
+    0.999377670f, -0.035274239f,
+    0.999430605f, -0.033741172f,
+    0.999481187f, -0.032208025f,
+    0.999529418f, -0.030674803f,
+    0.999575296f, -0.029141509f,
+    0.999618822f, -0.027608146f,
+    0.999659997f, -0.026074718f,
+    0.999698819f, -0.024541229f,
+    0.999735288f, -0.023007681f,
+    0.999769405f, -0.021474080f,
+    0.999801170f, -0.019940429f,
+    0.999830582f, -0.018406730f,
+    0.999857641f, -0.016872988f,
+    0.999882347f, -0.015339206f,
+    0.999904701f, -0.013805389f,
+    0.999924702f, -0.012271538f,
+    0.999942350f, -0.010737659f,
+    0.999957645f, -0.009203755f,
+    0.999970586f, -0.007669829f,
+    0.999981175f, -0.006135885f,
+    0.999989411f, -0.004601926f,
+    0.999995294f, -0.003067957f,
+    0.999998823f, -0.001533980f
+};
+
+/*    
+* @brief  Q31 Twiddle factors Table    
+*/
+
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 16	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_16_q31[24] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7641AF3C, 0x30FBC54D,
+    0x5A82799A, 0x5A82799A,
+    0x30FBC54D, 0x7641AF3C,
+    0x00000000, 0x7FFFFFFF,
+    0xCF043AB2, 0x7641AF3C,
+    0xA57D8666, 0x5A82799A,
+    0x89BE50C3, 0x30FBC54D,
+    0x80000000, 0x00000000,
+    0x89BE50C3, 0xCF043AB2,
+    0xA57D8666, 0xA57D8666,
+    0xCF043AB2, 0x89BE50C3
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 32	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_32_q31[48] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7641AF3C, 0x30FBC54D,
+    0x6A6D98A4, 0x471CECE6,
+    0x5A82799A, 0x5A82799A,
+    0x471CECE6, 0x6A6D98A4,
+    0x30FBC54D, 0x7641AF3C,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x00000000, 0x7FFFFFFF,
+    0xE70747C3, 0x7D8A5F3F,
+    0xCF043AB2, 0x7641AF3C,
+    0xB8E31319, 0x6A6D98A4,
+    0xA57D8666, 0x5A82799A,
+    0x9592675B, 0x471CECE6,
+    0x89BE50C3, 0x30FBC54D,
+    0x8275A0C0, 0x18F8B83C,
+    0x80000000, 0x00000000,
+    0x8275A0C0, 0xE70747C3,
+    0x89BE50C3, 0xCF043AB2,
+    0x9592675B, 0xB8E31319,
+    0xA57D8666, 0xA57D8666,
+    0xB8E31319, 0x9592675B,
+    0xCF043AB2, 0x89BE50C3,
+    0xE70747C3, 0x8275A0C0
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 64	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_64_q31[96] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7F62368F, 0x0C8BD35E,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7A7D055B, 0x25280C5D,
+    0x7641AF3C, 0x30FBC54D,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6A6D98A4, 0x471CECE6,
+    0x62F201AC, 0x5133CC94,
+    0x5A82799A, 0x5A82799A,
+    0x5133CC94, 0x62F201AC,
+    0x471CECE6, 0x6A6D98A4,
+    0x3C56BA70, 0x70E2CBC6,
+    0x30FBC54D, 0x7641AF3C,
+    0x25280C5D, 0x7A7D055B,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x0C8BD35E, 0x7F62368F,
+    0x00000000, 0x7FFFFFFF,
+    0xF3742CA1, 0x7F62368F,
+    0xE70747C3, 0x7D8A5F3F,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xCF043AB2, 0x7641AF3C,
+    0xC3A9458F, 0x70E2CBC6,
+    0xB8E31319, 0x6A6D98A4,
+    0xAECC336B, 0x62F201AC,
+    0xA57D8666, 0x5A82799A,
+    0x9D0DFE53, 0x5133CC94,
+    0x9592675B, 0x471CECE6,
+    0x8F1D343A, 0x3C56BA70,
+    0x89BE50C3, 0x30FBC54D,
+    0x8582FAA4, 0x25280C5D,
+    0x8275A0C0, 0x18F8B83C,
+    0x809DC970, 0x0C8BD35E,
+    0x80000000, 0x00000000,
+    0x809DC970, 0xF3742CA1,
+    0x8275A0C0, 0xE70747C3,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x89BE50C3, 0xCF043AB2,
+    0x8F1D343A, 0xC3A9458F,
+    0x9592675B, 0xB8E31319,
+    0x9D0DFE53, 0xAECC336B,
+    0xA57D8666, 0xA57D8666,
+    0xAECC336B, 0x9D0DFE53,
+    0xB8E31319, 0x9592675B,
+    0xC3A9458F, 0x8F1D343A,
+    0xCF043AB2, 0x89BE50C3,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xE70747C3, 0x8275A0C0,
+    0xF3742CA1, 0x809DC970
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 128	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_128_q31[192] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FD8878D, 0x0647D97C,
+    0x7F62368F, 0x0C8BD35E,
+    0x7E9D55FC, 0x12C8106E,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7A7D055B, 0x25280C5D,
+    0x78848413, 0x2B1F34EB,
+    0x7641AF3C, 0x30FBC54D,
+    0x73B5EBD0, 0x36BA2013,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6A6D98A4, 0x471CECE6,
+    0x66CF811F, 0x4C3FDFF3,
+    0x62F201AC, 0x5133CC94,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5A82799A, 0x5A82799A,
+    0x55F5A4D2, 0x5ED77C89,
+    0x5133CC94, 0x62F201AC,
+    0x4C3FDFF3, 0x66CF811F,
+    0x471CECE6, 0x6A6D98A4,
+    0x41CE1E64, 0x6DCA0D14,
+    0x3C56BA70, 0x70E2CBC6,
+    0x36BA2013, 0x73B5EBD0,
+    0x30FBC54D, 0x7641AF3C,
+    0x2B1F34EB, 0x78848413,
+    0x25280C5D, 0x7A7D055B,
+    0x1F19F97B, 0x7C29FBEE,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x12C8106E, 0x7E9D55FC,
+    0x0C8BD35E, 0x7F62368F,
+    0x0647D97C, 0x7FD8878D,
+    0x00000000, 0x7FFFFFFF,
+    0xF9B82683, 0x7FD8878D,
+    0xF3742CA1, 0x7F62368F,
+    0xED37EF91, 0x7E9D55FC,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE0E60684, 0x7C29FBEE,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD4E0CB14, 0x78848413,
+    0xCF043AB2, 0x7641AF3C,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC3A9458F, 0x70E2CBC6,
+    0xBE31E19B, 0x6DCA0D14,
+    0xB8E31319, 0x6A6D98A4,
+    0xB3C0200C, 0x66CF811F,
+    0xAECC336B, 0x62F201AC,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA57D8666, 0x5A82799A,
+    0xA1288376, 0x55F5A4D2,
+    0x9D0DFE53, 0x5133CC94,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9592675B, 0x471CECE6,
+    0x9235F2EB, 0x41CE1E64,
+    0x8F1D343A, 0x3C56BA70,
+    0x8C4A142F, 0x36BA2013,
+    0x89BE50C3, 0x30FBC54D,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8582FAA4, 0x25280C5D,
+    0x83D60411, 0x1F19F97B,
+    0x8275A0C0, 0x18F8B83C,
+    0x8162AA03, 0x12C8106E,
+    0x809DC970, 0x0C8BD35E,
+    0x80277872, 0x0647D97C,
+    0x80000000, 0x00000000,
+    0x80277872, 0xF9B82683,
+    0x809DC970, 0xF3742CA1,
+    0x8162AA03, 0xED37EF91,
+    0x8275A0C0, 0xE70747C3,
+    0x83D60411, 0xE0E60684,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x877B7BEC, 0xD4E0CB14,
+    0x89BE50C3, 0xCF043AB2,
+    0x8C4A142F, 0xC945DFEC,
+    0x8F1D343A, 0xC3A9458F,
+    0x9235F2EB, 0xBE31E19B,
+    0x9592675B, 0xB8E31319,
+    0x99307EE0, 0xB3C0200C,
+    0x9D0DFE53, 0xAECC336B,
+    0xA1288376, 0xAA0A5B2D,
+    0xA57D8666, 0xA57D8666,
+    0xAA0A5B2D, 0xA1288376,
+    0xAECC336B, 0x9D0DFE53,
+    0xB3C0200C, 0x99307EE0,
+    0xB8E31319, 0x9592675B,
+    0xBE31E19B, 0x9235F2EB,
+    0xC3A9458F, 0x8F1D343A,
+    0xC945DFEC, 0x8C4A142F,
+    0xCF043AB2, 0x89BE50C3,
+    0xD4E0CB14, 0x877B7BEC,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xE0E60684, 0x83D60411,
+    0xE70747C3, 0x8275A0C0,
+    0xED37EF91, 0x8162AA03,
+    0xF3742CA1, 0x809DC970,
+    0xF9B82683, 0x80277872
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 256	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_256_q31[384] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FF62182, 0x03242ABF,
+    0x7FD8878D, 0x0647D97C,
+    0x7FA736B4, 0x096A9049,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F0991C3, 0x0FAB272B,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E1D93E9, 0x15E21444,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7B5D039D, 0x2223A4C5,
+    0x7A7D055B, 0x25280C5D,
+    0x798A23B1, 0x2826B928,
+    0x78848413, 0x2B1F34EB,
+    0x776C4EDB, 0x2E110A62,
+    0x7641AF3C, 0x30FBC54D,
+    0x7504D345, 0x33DEF287,
+    0x73B5EBD0, 0x36BA2013,
+    0x72552C84, 0x398CDD32,
+    0x70E2CBC6, 0x3C56BA70,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6C242960, 0x447ACD50,
+    0x6A6D98A4, 0x471CECE6,
+    0x68A69E81, 0x49B41533,
+    0x66CF811F, 0x4C3FDFF3,
+    0x64E88926, 0x4EBFE8A4,
+    0x62F201AC, 0x5133CC94,
+    0x60EC3830, 0x539B2AEF,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5CB420DF, 0x5842DD54,
+    0x5A82799A, 0x5A82799A,
+    0x5842DD54, 0x5CB420DF,
+    0x55F5A4D2, 0x5ED77C89,
+    0x539B2AEF, 0x60EC3830,
+    0x5133CC94, 0x62F201AC,
+    0x4EBFE8A4, 0x64E88926,
+    0x4C3FDFF3, 0x66CF811F,
+    0x49B41533, 0x68A69E81,
+    0x471CECE6, 0x6A6D98A4,
+    0x447ACD50, 0x6C242960,
+    0x41CE1E64, 0x6DCA0D14,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3C56BA70, 0x70E2CBC6,
+    0x398CDD32, 0x72552C84,
+    0x36BA2013, 0x73B5EBD0,
+    0x33DEF287, 0x7504D345,
+    0x30FBC54D, 0x7641AF3C,
+    0x2E110A62, 0x776C4EDB,
+    0x2B1F34EB, 0x78848413,
+    0x2826B928, 0x798A23B1,
+    0x25280C5D, 0x7A7D055B,
+    0x2223A4C5, 0x7B5D039D,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x15E21444, 0x7E1D93E9,
+    0x12C8106E, 0x7E9D55FC,
+    0x0FAB272B, 0x7F0991C3,
+    0x0C8BD35E, 0x7F62368F,
+    0x096A9049, 0x7FA736B4,
+    0x0647D97C, 0x7FD8878D,
+    0x03242ABF, 0x7FF62182,
+    0x00000000, 0x7FFFFFFF,
+    0xFCDBD541, 0x7FF62182,
+    0xF9B82683, 0x7FD8878D,
+    0xF6956FB6, 0x7FA736B4,
+    0xF3742CA1, 0x7F62368F,
+    0xF054D8D4, 0x7F0991C3,
+    0xED37EF91, 0x7E9D55FC,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE0E60684, 0x7C29FBEE,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD7D946D7, 0x798A23B1,
+    0xD4E0CB14, 0x78848413,
+    0xD1EEF59E, 0x776C4EDB,
+    0xCF043AB2, 0x7641AF3C,
+    0xCC210D78, 0x7504D345,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC67322CD, 0x72552C84,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC0E8B648, 0x6F5F02B1,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBB8532AF, 0x6C242960,
+    0xB8E31319, 0x6A6D98A4,
+    0xB64BEACC, 0x68A69E81,
+    0xB3C0200C, 0x66CF811F,
+    0xB140175B, 0x64E88926,
+    0xAECC336B, 0x62F201AC,
+    0xAC64D510, 0x60EC3830,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA57D8666, 0x5A82799A,
+    0xA34BDF20, 0x5842DD54,
+    0xA1288376, 0x55F5A4D2,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9D0DFE53, 0x5133CC94,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9759617E, 0x49B41533,
+    0x9592675B, 0x471CECE6,
+    0x93DBD69F, 0x447ACD50,
+    0x9235F2EB, 0x41CE1E64,
+    0x90A0FD4E, 0x3F1749B7,
+    0x8F1D343A, 0x3C56BA70,
+    0x8DAAD37B, 0x398CDD32,
+    0x8C4A142F, 0x36BA2013,
+    0x8AFB2CBA, 0x33DEF287,
+    0x89BE50C3, 0x30FBC54D,
+    0x8893B124, 0x2E110A62,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8675DC4E, 0x2826B928,
+    0x8582FAA4, 0x25280C5D,
+    0x84A2FC62, 0x2223A4C5,
+    0x83D60411, 0x1F19F97B,
+    0x831C314E, 0x1C0B826A,
+    0x8275A0C0, 0x18F8B83C,
+    0x81E26C16, 0x15E21444,
+    0x8162AA03, 0x12C8106E,
+    0x80F66E3C, 0x0FAB272B,
+    0x809DC970, 0x0C8BD35E,
+    0x8058C94C, 0x096A9049,
+    0x80277872, 0x0647D97C,
+    0x8009DE7D, 0x03242ABF,
+    0x80000000, 0x00000000,
+    0x8009DE7D, 0xFCDBD541,
+    0x80277872, 0xF9B82683,
+    0x8058C94C, 0xF6956FB6,
+    0x809DC970, 0xF3742CA1,
+    0x80F66E3C, 0xF054D8D4,
+    0x8162AA03, 0xED37EF91,
+    0x81E26C16, 0xEA1DEBBB,
+    0x8275A0C0, 0xE70747C3,
+    0x831C314E, 0xE3F47D95,
+    0x83D60411, 0xE0E60684,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x8675DC4E, 0xD7D946D7,
+    0x877B7BEC, 0xD4E0CB14,
+    0x8893B124, 0xD1EEF59E,
+    0x89BE50C3, 0xCF043AB2,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8C4A142F, 0xC945DFEC,
+    0x8DAAD37B, 0xC67322CD,
+    0x8F1D343A, 0xC3A9458F,
+    0x90A0FD4E, 0xC0E8B648,
+    0x9235F2EB, 0xBE31E19B,
+    0x93DBD69F, 0xBB8532AF,
+    0x9592675B, 0xB8E31319,
+    0x9759617E, 0xB64BEACC,
+    0x99307EE0, 0xB3C0200C,
+    0x9B1776D9, 0xB140175B,
+    0x9D0DFE53, 0xAECC336B,
+    0x9F13C7D0, 0xAC64D510,
+    0xA1288376, 0xAA0A5B2D,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA57D8666, 0xA57D8666,
+    0xA7BD22AB, 0xA34BDF20,
+    0xAA0A5B2D, 0xA1288376,
+    0xAC64D510, 0x9F13C7D0,
+    0xAECC336B, 0x9D0DFE53,
+    0xB140175B, 0x9B1776D9,
+    0xB3C0200C, 0x99307EE0,
+    0xB64BEACC, 0x9759617E,
+    0xB8E31319, 0x9592675B,
+    0xBB8532AF, 0x93DBD69F,
+    0xBE31E19B, 0x9235F2EB,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC3A9458F, 0x8F1D343A,
+    0xC67322CD, 0x8DAAD37B,
+    0xC945DFEC, 0x8C4A142F,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCF043AB2, 0x89BE50C3,
+    0xD1EEF59E, 0x8893B124,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD7D946D7, 0x8675DC4E,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xE0E60684, 0x83D60411,
+    0xE3F47D95, 0x831C314E,
+    0xE70747C3, 0x8275A0C0,
+    0xEA1DEBBB, 0x81E26C16,
+    0xED37EF91, 0x8162AA03,
+    0xF054D8D4, 0x80F66E3C,
+    0xF3742CA1, 0x809DC970,
+    0xF6956FB6, 0x8058C94C,
+    0xF9B82683, 0x80277872,
+    0xFCDBD541, 0x8009DE7D
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 512	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_512_q31[768] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFD885A, 0x01921D1F,
+    0x7FF62182, 0x03242ABF,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FD8878D, 0x0647D97C,
+    0x7FC25596, 0x07D95B9E,
+    0x7FA736B4, 0x096A9049,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F0991C3, 0x0FAB272B,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E5FE493, 0x145576B1,
+    0x7E1D93E9, 0x15E21444,
+    0x7DD6668E, 0x176DD9DE,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D3980EC, 0x1A82A025,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7BC5E28F, 0x209F701C,
+    0x7B5D039D, 0x2223A4C5,
+    0x7AEF6323, 0x23A6887E,
+    0x7A7D055B, 0x25280C5D,
+    0x7A05EEAD, 0x26A82185,
+    0x798A23B1, 0x2826B928,
+    0x7909A92C, 0x29A3C484,
+    0x78848413, 0x2B1F34EB,
+    0x77FAB988, 0x2C98FBBA,
+    0x776C4EDB, 0x2E110A62,
+    0x76D94988, 0x2F875262,
+    0x7641AF3C, 0x30FBC54D,
+    0x75A585CF, 0x326E54C7,
+    0x7504D345, 0x33DEF287,
+    0x745F9DD1, 0x354D9056,
+    0x73B5EBD0, 0x36BA2013,
+    0x7307C3D0, 0x382493B0,
+    0x72552C84, 0x398CDD32,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x70E2CBC6, 0x3C56BA70,
+    0x70231099, 0x3DB832A5,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6E96A99C, 0x4073F21D,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6CF934FB, 0x4325C135,
+    0x6C242960, 0x447ACD50,
+    0x6B4AF278, 0x45CD358F,
+    0x6A6D98A4, 0x471CECE6,
+    0x698C246C, 0x4869E664,
+    0x68A69E81, 0x49B41533,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x66CF811F, 0x4C3FDFF3,
+    0x65DDFBD3, 0x4D8162C4,
+    0x64E88926, 0x4EBFE8A4,
+    0x63EF328F, 0x4FFB654D,
+    0x62F201AC, 0x5133CC94,
+    0x61F1003E, 0x5269126E,
+    0x60EC3830, 0x539B2AEF,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5CB420DF, 0x5842DD54,
+    0x5B9D1153, 0x59646497,
+    0x5A82799A, 0x5A82799A,
+    0x59646497, 0x5B9D1153,
+    0x5842DD54, 0x5CB420DF,
+    0x571DEEF9, 0x5DC79D7C,
+    0x55F5A4D2, 0x5ED77C89,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x539B2AEF, 0x60EC3830,
+    0x5269126E, 0x61F1003E,
+    0x5133CC94, 0x62F201AC,
+    0x4FFB654D, 0x63EF328F,
+    0x4EBFE8A4, 0x64E88926,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x49B41533, 0x68A69E81,
+    0x4869E664, 0x698C246C,
+    0x471CECE6, 0x6A6D98A4,
+    0x45CD358F, 0x6B4AF278,
+    0x447ACD50, 0x6C242960,
+    0x4325C135, 0x6CF934FB,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4073F21D, 0x6E96A99C,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3DB832A5, 0x70231099,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x398CDD32, 0x72552C84,
+    0x382493B0, 0x7307C3D0,
+    0x36BA2013, 0x73B5EBD0,
+    0x354D9056, 0x745F9DD1,
+    0x33DEF287, 0x7504D345,
+    0x326E54C7, 0x75A585CF,
+    0x30FBC54D, 0x7641AF3C,
+    0x2F875262, 0x76D94988,
+    0x2E110A62, 0x776C4EDB,
+    0x2C98FBBA, 0x77FAB988,
+    0x2B1F34EB, 0x78848413,
+    0x29A3C484, 0x7909A92C,
+    0x2826B928, 0x798A23B1,
+    0x26A82185, 0x7A05EEAD,
+    0x25280C5D, 0x7A7D055B,
+    0x23A6887E, 0x7AEF6323,
+    0x2223A4C5, 0x7B5D039D,
+    0x209F701C, 0x7BC5E28F,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1D934FE5, 0x7C894BDD,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1A82A025, 0x7D3980EC,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x176DD9DE, 0x7DD6668E,
+    0x15E21444, 0x7E1D93E9,
+    0x145576B1, 0x7E5FE493,
+    0x12C8106E, 0x7E9D55FC,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x0FAB272B, 0x7F0991C3,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0C8BD35E, 0x7F62368F,
+    0x0AFB6805, 0x7F872BF3,
+    0x096A9049, 0x7FA736B4,
+    0x07D95B9E, 0x7FC25596,
+    0x0647D97C, 0x7FD8878D,
+    0x04B6195D, 0x7FE9CBC0,
+    0x03242ABF, 0x7FF62182,
+    0x01921D1F, 0x7FFD885A,
+    0x00000000, 0x7FFFFFFF,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFCDBD541, 0x7FF62182,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xF9B82683, 0x7FD8878D,
+    0xF826A461, 0x7FC25596,
+    0xF6956FB6, 0x7FA736B4,
+    0xF50497FA, 0x7F872BF3,
+    0xF3742CA1, 0x7F62368F,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF054D8D4, 0x7F0991C3,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xED37EF91, 0x7E9D55FC,
+    0xEBAA894E, 0x7E5FE493,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE8922621, 0x7DD6668E,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE26CB01A, 0x7C894BDD,
+    0xE0E60684, 0x7C29FBEE,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDC597781, 0x7AEF6323,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD7D946D7, 0x798A23B1,
+    0xD65C3B7B, 0x7909A92C,
+    0xD4E0CB14, 0x78848413,
+    0xD3670445, 0x77FAB988,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD078AD9D, 0x76D94988,
+    0xCF043AB2, 0x7641AF3C,
+    0xCD91AB38, 0x75A585CF,
+    0xCC210D78, 0x7504D345,
+    0xCAB26FA9, 0x745F9DD1,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC67322CD, 0x72552C84,
+    0xC50D1148, 0x719E2CD2,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC247CD5A, 0x70231099,
+    0xC0E8B648, 0x6F5F02B1,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBB8532AF, 0x6C242960,
+    0xBA32CA70, 0x6B4AF278,
+    0xB8E31319, 0x6A6D98A4,
+    0xB796199B, 0x698C246C,
+    0xB64BEACC, 0x68A69E81,
+    0xB5049368, 0x67BD0FBC,
+    0xB3C0200C, 0x66CF811F,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB140175B, 0x64E88926,
+    0xB0049AB2, 0x63EF328F,
+    0xAECC336B, 0x62F201AC,
+    0xAD96ED91, 0x61F1003E,
+    0xAC64D510, 0x60EC3830,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA8E21106, 0x5DC79D7C,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA69B9B68, 0x5B9D1153,
+    0xA57D8666, 0x5A82799A,
+    0xA462EEAC, 0x59646497,
+    0xA34BDF20, 0x5842DD54,
+    0xA2386283, 0x571DEEF9,
+    0xA1288376, 0x55F5A4D2,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9E0EFFC1, 0x5269126E,
+    0x9D0DFE53, 0x5133CC94,
+    0x9C10CD70, 0x4FFB654D,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9A22042C, 0x4D8162C4,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9842F043, 0x4AFB6C97,
+    0x9759617E, 0x49B41533,
+    0x9673DB94, 0x4869E664,
+    0x9592675B, 0x471CECE6,
+    0x94B50D87, 0x45CD358F,
+    0x93DBD69F, 0x447ACD50,
+    0x9306CB04, 0x4325C135,
+    0x9235F2EB, 0x41CE1E64,
+    0x91695663, 0x4073F21D,
+    0x90A0FD4E, 0x3F1749B7,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8F1D343A, 0x3C56BA70,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8DAAD37B, 0x398CDD32,
+    0x8CF83C30, 0x382493B0,
+    0x8C4A142F, 0x36BA2013,
+    0x8BA0622F, 0x354D9056,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8A5A7A30, 0x326E54C7,
+    0x89BE50C3, 0x30FBC54D,
+    0x8926B677, 0x2F875262,
+    0x8893B124, 0x2E110A62,
+    0x88054677, 0x2C98FBBA,
+    0x877B7BEC, 0x2B1F34EB,
+    0x86F656D3, 0x29A3C484,
+    0x8675DC4E, 0x2826B928,
+    0x85FA1152, 0x26A82185,
+    0x8582FAA4, 0x25280C5D,
+    0x85109CDC, 0x23A6887E,
+    0x84A2FC62, 0x2223A4C5,
+    0x843A1D70, 0x209F701C,
+    0x83D60411, 0x1F19F97B,
+    0x8376B422, 0x1D934FE5,
+    0x831C314E, 0x1C0B826A,
+    0x82C67F13, 0x1A82A025,
+    0x8275A0C0, 0x18F8B83C,
+    0x82299971, 0x176DD9DE,
+    0x81E26C16, 0x15E21444,
+    0x81A01B6C, 0x145576B1,
+    0x8162AA03, 0x12C8106E,
+    0x812A1A39, 0x1139F0CE,
+    0x80F66E3C, 0x0FAB272B,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x809DC970, 0x0C8BD35E,
+    0x8078D40D, 0x0AFB6805,
+    0x8058C94C, 0x096A9049,
+    0x803DAA69, 0x07D95B9E,
+    0x80277872, 0x0647D97C,
+    0x80163440, 0x04B6195D,
+    0x8009DE7D, 0x03242ABF,
+    0x800277A5, 0x01921D1F,
+    0x80000000, 0x00000000,
+    0x800277A5, 0xFE6DE2E0,
+    0x8009DE7D, 0xFCDBD541,
+    0x80163440, 0xFB49E6A2,
+    0x80277872, 0xF9B82683,
+    0x803DAA69, 0xF826A461,
+    0x8058C94C, 0xF6956FB6,
+    0x8078D40D, 0xF50497FA,
+    0x809DC970, 0xF3742CA1,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80F66E3C, 0xF054D8D4,
+    0x812A1A39, 0xEEC60F31,
+    0x8162AA03, 0xED37EF91,
+    0x81A01B6C, 0xEBAA894E,
+    0x81E26C16, 0xEA1DEBBB,
+    0x82299971, 0xE8922621,
+    0x8275A0C0, 0xE70747C3,
+    0x82C67F13, 0xE57D5FDA,
+    0x831C314E, 0xE3F47D95,
+    0x8376B422, 0xE26CB01A,
+    0x83D60411, 0xE0E60684,
+    0x843A1D70, 0xDF608FE3,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x85109CDC, 0xDC597781,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85FA1152, 0xD957DE7A,
+    0x8675DC4E, 0xD7D946D7,
+    0x86F656D3, 0xD65C3B7B,
+    0x877B7BEC, 0xD4E0CB14,
+    0x88054677, 0xD3670445,
+    0x8893B124, 0xD1EEF59E,
+    0x8926B677, 0xD078AD9D,
+    0x89BE50C3, 0xCF043AB2,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8C4A142F, 0xC945DFEC,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8DAAD37B, 0xC67322CD,
+    0x8E61D32D, 0xC50D1148,
+    0x8F1D343A, 0xC3A9458F,
+    0x8FDCEF66, 0xC247CD5A,
+    0x90A0FD4E, 0xC0E8B648,
+    0x91695663, 0xBF8C0DE2,
+    0x9235F2EB, 0xBE31E19B,
+    0x9306CB04, 0xBCDA3ECA,
+    0x93DBD69F, 0xBB8532AF,
+    0x94B50D87, 0xBA32CA70,
+    0x9592675B, 0xB8E31319,
+    0x9673DB94, 0xB796199B,
+    0x9759617E, 0xB64BEACC,
+    0x9842F043, 0xB5049368,
+    0x99307EE0, 0xB3C0200C,
+    0x9A22042C, 0xB27E9D3B,
+    0x9B1776D9, 0xB140175B,
+    0x9C10CD70, 0xB0049AB2,
+    0x9D0DFE53, 0xAECC336B,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9F13C7D0, 0xAC64D510,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA1288376, 0xAA0A5B2D,
+    0xA2386283, 0xA8E21106,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA462EEAC, 0xA69B9B68,
+    0xA57D8666, 0xA57D8666,
+    0xA69B9B68, 0xA462EEAC,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA8E21106, 0xA2386283,
+    0xAA0A5B2D, 0xA1288376,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAC64D510, 0x9F13C7D0,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xAECC336B, 0x9D0DFE53,
+    0xB0049AB2, 0x9C10CD70,
+    0xB140175B, 0x9B1776D9,
+    0xB27E9D3B, 0x9A22042C,
+    0xB3C0200C, 0x99307EE0,
+    0xB5049368, 0x9842F043,
+    0xB64BEACC, 0x9759617E,
+    0xB796199B, 0x9673DB94,
+    0xB8E31319, 0x9592675B,
+    0xBA32CA70, 0x94B50D87,
+    0xBB8532AF, 0x93DBD69F,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBE31E19B, 0x9235F2EB,
+    0xBF8C0DE2, 0x91695663,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC3A9458F, 0x8F1D343A,
+    0xC50D1148, 0x8E61D32D,
+    0xC67322CD, 0x8DAAD37B,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC945DFEC, 0x8C4A142F,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCF043AB2, 0x89BE50C3,
+    0xD078AD9D, 0x8926B677,
+    0xD1EEF59E, 0x8893B124,
+    0xD3670445, 0x88054677,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD65C3B7B, 0x86F656D3,
+    0xD7D946D7, 0x8675DC4E,
+    0xD957DE7A, 0x85FA1152,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDC597781, 0x85109CDC,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDF608FE3, 0x843A1D70,
+    0xE0E60684, 0x83D60411,
+    0xE26CB01A, 0x8376B422,
+    0xE3F47D95, 0x831C314E,
+    0xE57D5FDA, 0x82C67F13,
+    0xE70747C3, 0x8275A0C0,
+    0xE8922621, 0x82299971,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEBAA894E, 0x81A01B6C,
+    0xED37EF91, 0x8162AA03,
+    0xEEC60F31, 0x812A1A39,
+    0xF054D8D4, 0x80F66E3C,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF3742CA1, 0x809DC970,
+    0xF50497FA, 0x8078D40D,
+    0xF6956FB6, 0x8058C94C,
+    0xF826A461, 0x803DAA69,
+    0xF9B82683, 0x80277872,
+    0xFB49E6A2, 0x80163440,
+    0xFCDBD541, 0x8009DE7D,
+    0xFE6DE2E0, 0x800277A5
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 1024	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_1024_q31[1536] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF62182, 0x03242ABF,
+    0x7FF09477, 0x03ED26E6,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE1C76B, 0x057F0034,
+    0x7FD8878D, 0x0647D97C,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FC25596, 0x07D95B9E,
+    0x7FB563B2, 0x08A2009A,
+    0x7FA736B4, 0x096A9049,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F2191B4, 0x0EE38765,
+    0x7F0991C3, 0x0FAB272B,
+    0x7EF0585F, 0x1072A047,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7EBA3A39, 0x120116D4,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E5FE493, 0x145576B1,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E1D93E9, 0x15E21444,
+    0x7DFA98A7, 0x16A81305,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DB0FDF7, 0x183366E8,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D3980EC, 0x1A82A025,
+    0x7D0F4218, 0x1B4732EF,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BC5E28F, 0x209F701C,
+    0x7B920B89, 0x2161B39F,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B26CB4F, 0x22E541AE,
+    0x7AEF6323, 0x23A6887E,
+    0x7AB6CBA3, 0x24677757,
+    0x7A7D055B, 0x25280C5D,
+    0x7A4210D8, 0x25E845B5,
+    0x7A05EEAD, 0x26A82185,
+    0x79C89F6D, 0x27679DF4,
+    0x798A23B1, 0x2826B928,
+    0x794A7C11, 0x28E5714A,
+    0x7909A92C, 0x29A3C484,
+    0x78C7ABA1, 0x2A61B101,
+    0x78848413, 0x2B1F34EB,
+    0x78403328, 0x2BDC4E6F,
+    0x77FAB988, 0x2C98FBBA,
+    0x77B417DF, 0x2D553AFB,
+    0x776C4EDB, 0x2E110A62,
+    0x77235F2D, 0x2ECC681E,
+    0x76D94988, 0x2F875262,
+    0x768E0EA5, 0x3041C760,
+    0x7641AF3C, 0x30FBC54D,
+    0x75F42C0A, 0x31B54A5D,
+    0x75A585CF, 0x326E54C7,
+    0x7555BD4B, 0x3326E2C2,
+    0x7504D345, 0x33DEF287,
+    0x74B2C883, 0x3496824F,
+    0x745F9DD1, 0x354D9056,
+    0x740B53FA, 0x36041AD9,
+    0x73B5EBD0, 0x36BA2013,
+    0x735F6626, 0x376F9E46,
+    0x7307C3D0, 0x382493B0,
+    0x72AF05A6, 0x38D8FE93,
+    0x72552C84, 0x398CDD32,
+    0x71FA3948, 0x3A402DD1,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x71410804, 0x3BA51E29,
+    0x70E2CBC6, 0x3C56BA70,
+    0x708378FE, 0x3D07C1D5,
+    0x70231099, 0x3DB832A5,
+    0x6FC19385, 0x3E680B2C,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6EFB5F12, 0x3FC5EC97,
+    0x6E96A99C, 0x4073F21D,
+    0x6E30E349, 0x4121589A,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6D6227FA, 0x427A41D0,
+    0x6CF934FB, 0x4325C135,
+    0x6C8F351C, 0x43D09AEC,
+    0x6C242960, 0x447ACD50,
+    0x6BB812D0, 0x452456BC,
+    0x6B4AF278, 0x45CD358F,
+    0x6ADCC964, 0x46756827,
+    0x6A6D98A4, 0x471CECE6,
+    0x69FD614A, 0x47C3C22E,
+    0x698C246C, 0x4869E664,
+    0x6919E320, 0x490F57EE,
+    0x68A69E81, 0x49B41533,
+    0x683257AA, 0x4A581C9D,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x6746C7D7, 0x4B9E038F,
+    0x66CF811F, 0x4C3FDFF3,
+    0x66573CBB, 0x4CE10034,
+    0x65DDFBD3, 0x4D8162C4,
+    0x6563BF92, 0x4E210617,
+    0x64E88926, 0x4EBFE8A4,
+    0x646C59BF, 0x4F5E08E3,
+    0x63EF328F, 0x4FFB654D,
+    0x637114CC, 0x5097FC5E,
+    0x62F201AC, 0x5133CC94,
+    0x6271FA69, 0x51CED46E,
+    0x61F1003E, 0x5269126E,
+    0x616F146B, 0x53028517,
+    0x60EC3830, 0x539B2AEF,
+    0x60686CCE, 0x5433027D,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5F5E0DB3, 0x556040E2,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5E50015D, 0x568A34A9,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5D3E5236, 0x57B0D256,
+    0x5CB420DF, 0x5842DD54,
+    0x5C290ACC, 0x58D40E8C,
+    0x5B9D1153, 0x59646497,
+    0x5B1035CF, 0x59F3DE12,
+    0x5A82799A, 0x5A82799A,
+    0x59F3DE12, 0x5B1035CF,
+    0x59646497, 0x5B9D1153,
+    0x58D40E8C, 0x5C290ACC,
+    0x5842DD54, 0x5CB420DF,
+    0x57B0D256, 0x5D3E5236,
+    0x571DEEF9, 0x5DC79D7C,
+    0x568A34A9, 0x5E50015D,
+    0x55F5A4D2, 0x5ED77C89,
+    0x556040E2, 0x5F5E0DB3,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x5433027D, 0x60686CCE,
+    0x539B2AEF, 0x60EC3830,
+    0x53028517, 0x616F146B,
+    0x5269126E, 0x61F1003E,
+    0x51CED46E, 0x6271FA69,
+    0x5133CC94, 0x62F201AC,
+    0x5097FC5E, 0x637114CC,
+    0x4FFB654D, 0x63EF328F,
+    0x4F5E08E3, 0x646C59BF,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E210617, 0x6563BF92,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4CE10034, 0x66573CBB,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4B9E038F, 0x6746C7D7,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4A581C9D, 0x683257AA,
+    0x49B41533, 0x68A69E81,
+    0x490F57EE, 0x6919E320,
+    0x4869E664, 0x698C246C,
+    0x47C3C22E, 0x69FD614A,
+    0x471CECE6, 0x6A6D98A4,
+    0x46756827, 0x6ADCC964,
+    0x45CD358F, 0x6B4AF278,
+    0x452456BC, 0x6BB812D0,
+    0x447ACD50, 0x6C242960,
+    0x43D09AEC, 0x6C8F351C,
+    0x4325C135, 0x6CF934FB,
+    0x427A41D0, 0x6D6227FA,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4121589A, 0x6E30E349,
+    0x4073F21D, 0x6E96A99C,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3E680B2C, 0x6FC19385,
+    0x3DB832A5, 0x70231099,
+    0x3D07C1D5, 0x708378FE,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3BA51E29, 0x71410804,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3A402DD1, 0x71FA3948,
+    0x398CDD32, 0x72552C84,
+    0x38D8FE93, 0x72AF05A6,
+    0x382493B0, 0x7307C3D0,
+    0x376F9E46, 0x735F6626,
+    0x36BA2013, 0x73B5EBD0,
+    0x36041AD9, 0x740B53FA,
+    0x354D9056, 0x745F9DD1,
+    0x3496824F, 0x74B2C883,
+    0x33DEF287, 0x7504D345,
+    0x3326E2C2, 0x7555BD4B,
+    0x326E54C7, 0x75A585CF,
+    0x31B54A5D, 0x75F42C0A,
+    0x30FBC54D, 0x7641AF3C,
+    0x3041C760, 0x768E0EA5,
+    0x2F875262, 0x76D94988,
+    0x2ECC681E, 0x77235F2D,
+    0x2E110A62, 0x776C4EDB,
+    0x2D553AFB, 0x77B417DF,
+    0x2C98FBBA, 0x77FAB988,
+    0x2BDC4E6F, 0x78403328,
+    0x2B1F34EB, 0x78848413,
+    0x2A61B101, 0x78C7ABA1,
+    0x29A3C484, 0x7909A92C,
+    0x28E5714A, 0x794A7C11,
+    0x2826B928, 0x798A23B1,
+    0x27679DF4, 0x79C89F6D,
+    0x26A82185, 0x7A05EEAD,
+    0x25E845B5, 0x7A4210D8,
+    0x25280C5D, 0x7A7D055B,
+    0x24677757, 0x7AB6CBA3,
+    0x23A6887E, 0x7AEF6323,
+    0x22E541AE, 0x7B26CB4F,
+    0x2223A4C5, 0x7B5D039D,
+    0x2161B39F, 0x7B920B89,
+    0x209F701C, 0x7BC5E28F,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1D934FE5, 0x7C894BDD,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1B4732EF, 0x7D0F4218,
+    0x1A82A025, 0x7D3980EC,
+    0x19BDCBF2, 0x7D628AC5,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x183366E8, 0x7DB0FDF7,
+    0x176DD9DE, 0x7DD6668E,
+    0x16A81305, 0x7DFA98A7,
+    0x15E21444, 0x7E1D93E9,
+    0x151BDF85, 0x7E3F57FE,
+    0x145576B1, 0x7E5FE493,
+    0x138EDBB0, 0x7E7F3956,
+    0x12C8106E, 0x7E9D55FC,
+    0x120116D4, 0x7EBA3A39,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x1072A047, 0x7EF0585F,
+    0x0FAB272B, 0x7F0991C3,
+    0x0EE38765, 0x7F2191B4,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0D53DB92, 0x7F4DE450,
+    0x0C8BD35E, 0x7F62368F,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0AFB6805, 0x7F872BF3,
+    0x0A3308BC, 0x7F97CEBC,
+    0x096A9049, 0x7FA736B4,
+    0x08A2009A, 0x7FB563B2,
+    0x07D95B9E, 0x7FC25596,
+    0x0710A344, 0x7FCE0C3E,
+    0x0647D97C, 0x7FD8878D,
+    0x057F0034, 0x7FE1C76B,
+    0x04B6195D, 0x7FE9CBC0,
+    0x03ED26E6, 0x7FF09477,
+    0x03242ABF, 0x7FF62182,
+    0x025B26D7, 0x7FFA72D1,
+    0x01921D1F, 0x7FFD885A,
+    0x00C90F88, 0x7FFF6216,
+    0x00000000, 0x7FFFFFFF,
+    0xFF36F078, 0x7FFF6216,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFCDBD541, 0x7FF62182,
+    0xFC12D919, 0x7FF09477,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xF9B82683, 0x7FD8878D,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF826A461, 0x7FC25596,
+    0xF75DFF65, 0x7FB563B2,
+    0xF6956FB6, 0x7FA736B4,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF50497FA, 0x7F872BF3,
+    0xF43C53CA, 0x7F754E7F,
+    0xF3742CA1, 0x7F62368F,
+    0xF2AC246D, 0x7F4DE450,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF11C789A, 0x7F2191B4,
+    0xF054D8D4, 0x7F0991C3,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xED37EF91, 0x7E9D55FC,
+    0xEC71244F, 0x7E7F3956,
+    0xEBAA894E, 0x7E5FE493,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE8922621, 0x7DD6668E,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE642340D, 0x7D628AC5,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE330734C, 0x7CB72724,
+    0xE26CB01A, 0x7C894BDD,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE0E60684, 0x7C29FBEE,
+    0xE02323E5, 0x7BF88830,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDE9E4C60, 0x7B920B89,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDC597781, 0x7AEF6323,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD898620C, 0x79C89F6D,
+    0xD7D946D7, 0x798A23B1,
+    0xD71A8EB5, 0x794A7C11,
+    0xD65C3B7B, 0x7909A92C,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD4E0CB14, 0x78848413,
+    0xD423B190, 0x78403328,
+    0xD3670445, 0x77FAB988,
+    0xD2AAC504, 0x77B417DF,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD13397E1, 0x77235F2D,
+    0xD078AD9D, 0x76D94988,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF043AB2, 0x7641AF3C,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCD91AB38, 0x75A585CF,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCC210D78, 0x7504D345,
+    0xCB697DB0, 0x74B2C883,
+    0xCAB26FA9, 0x745F9DD1,
+    0xC9FBE527, 0x740B53FA,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC89061BA, 0x735F6626,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC727016C, 0x72AF05A6,
+    0xC67322CD, 0x72552C84,
+    0xC5BFD22E, 0x71FA3948,
+    0xC50D1148, 0x719E2CD2,
+    0xC45AE1D7, 0x71410804,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC2F83E2A, 0x708378FE,
+    0xC247CD5A, 0x70231099,
+    0xC197F4D3, 0x6FC19385,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC03A1368, 0x6EFB5F12,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBEDEA765, 0x6E30E349,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBC2F6513, 0x6C8F351C,
+    0xBB8532AF, 0x6C242960,
+    0xBADBA943, 0x6BB812D0,
+    0xBA32CA70, 0x6B4AF278,
+    0xB98A97D8, 0x6ADCC964,
+    0xB8E31319, 0x6A6D98A4,
+    0xB83C3DD1, 0x69FD614A,
+    0xB796199B, 0x698C246C,
+    0xB6F0A811, 0x6919E320,
+    0xB64BEACC, 0x68A69E81,
+    0xB5A7E362, 0x683257AA,
+    0xB5049368, 0x67BD0FBC,
+    0xB461FC70, 0x6746C7D7,
+    0xB3C0200C, 0x66CF811F,
+    0xB31EFFCB, 0x66573CBB,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB140175B, 0x64E88926,
+    0xB0A1F71C, 0x646C59BF,
+    0xB0049AB2, 0x63EF328F,
+    0xAF6803A1, 0x637114CC,
+    0xAECC336B, 0x62F201AC,
+    0xAE312B91, 0x6271FA69,
+    0xAD96ED91, 0x61F1003E,
+    0xACFD7AE8, 0x616F146B,
+    0xAC64D510, 0x60EC3830,
+    0xABCCFD82, 0x60686CCE,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA975CB56, 0x5E50015D,
+    0xA8E21106, 0x5DC79D7C,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA72BF173, 0x5C290ACC,
+    0xA69B9B68, 0x5B9D1153,
+    0xA60C21ED, 0x5B1035CF,
+    0xA57D8666, 0x5A82799A,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA462EEAC, 0x59646497,
+    0xA3D6F533, 0x58D40E8C,
+    0xA34BDF20, 0x5842DD54,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA2386283, 0x571DEEF9,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA1288376, 0x55F5A4D2,
+    0xA0A1F24C, 0x556040E2,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9F979331, 0x5433027D,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9E90EB94, 0x53028517,
+    0x9E0EFFC1, 0x5269126E,
+    0x9D8E0596, 0x51CED46E,
+    0x9D0DFE53, 0x5133CC94,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C10CD70, 0x4FFB654D,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9A9C406D, 0x4E210617,
+    0x9A22042C, 0x4D8162C4,
+    0x99A8C344, 0x4CE10034,
+    0x99307EE0, 0x4C3FDFF3,
+    0x98B93828, 0x4B9E038F,
+    0x9842F043, 0x4AFB6C97,
+    0x97CDA855, 0x4A581C9D,
+    0x9759617E, 0x49B41533,
+    0x96E61CDF, 0x490F57EE,
+    0x9673DB94, 0x4869E664,
+    0x96029EB5, 0x47C3C22E,
+    0x9592675B, 0x471CECE6,
+    0x9523369B, 0x46756827,
+    0x94B50D87, 0x45CD358F,
+    0x9447ED2F, 0x452456BC,
+    0x93DBD69F, 0x447ACD50,
+    0x9370CAE4, 0x43D09AEC,
+    0x9306CB04, 0x4325C135,
+    0x929DD805, 0x427A41D0,
+    0x9235F2EB, 0x41CE1E64,
+    0x91CF1CB6, 0x4121589A,
+    0x91695663, 0x4073F21D,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90A0FD4E, 0x3F1749B7,
+    0x903E6C7A, 0x3E680B2C,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F1D343A, 0x3C56BA70,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D50FA59, 0x38D8FE93,
+    0x8CF83C30, 0x382493B0,
+    0x8CA099D9, 0x376F9E46,
+    0x8C4A142F, 0x36BA2013,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BA0622F, 0x354D9056,
+    0x8B4D377C, 0x3496824F,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89BE50C3, 0x30FBC54D,
+    0x8971F15A, 0x3041C760,
+    0x8926B677, 0x2F875262,
+    0x88DCA0D3, 0x2ECC681E,
+    0x8893B124, 0x2E110A62,
+    0x884BE820, 0x2D553AFB,
+    0x88054677, 0x2C98FBBA,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8738545E, 0x2A61B101,
+    0x86F656D3, 0x29A3C484,
+    0x86B583EE, 0x28E5714A,
+    0x8675DC4E, 0x2826B928,
+    0x86376092, 0x27679DF4,
+    0x85FA1152, 0x26A82185,
+    0x85BDEF27, 0x25E845B5,
+    0x8582FAA4, 0x25280C5D,
+    0x8549345C, 0x24677757,
+    0x85109CDC, 0x23A6887E,
+    0x84D934B0, 0x22E541AE,
+    0x84A2FC62, 0x2223A4C5,
+    0x846DF476, 0x2161B39F,
+    0x843A1D70, 0x209F701C,
+    0x840777CF, 0x1FDCDC1A,
+    0x83D60411, 0x1F19F97B,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x8376B422, 0x1D934FE5,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x831C314E, 0x1C0B826A,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82C67F13, 0x1A82A025,
+    0x829D753A, 0x19BDCBF2,
+    0x8275A0C0, 0x18F8B83C,
+    0x824F0208, 0x183366E8,
+    0x82299971, 0x176DD9DE,
+    0x82056758, 0x16A81305,
+    0x81E26C16, 0x15E21444,
+    0x81C0A801, 0x151BDF85,
+    0x81A01B6C, 0x145576B1,
+    0x8180C6A9, 0x138EDBB0,
+    0x8162AA03, 0x12C8106E,
+    0x8145C5C6, 0x120116D4,
+    0x812A1A39, 0x1139F0CE,
+    0x810FA7A0, 0x1072A047,
+    0x80F66E3C, 0x0FAB272B,
+    0x80DE6E4C, 0x0EE38765,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80B21BAF, 0x0D53DB92,
+    0x809DC970, 0x0C8BD35E,
+    0x808AB180, 0x0BC3AC35,
+    0x8078D40D, 0x0AFB6805,
+    0x80683143, 0x0A3308BC,
+    0x8058C94C, 0x096A9049,
+    0x804A9C4D, 0x08A2009A,
+    0x803DAA69, 0x07D95B9E,
+    0x8031F3C1, 0x0710A344,
+    0x80277872, 0x0647D97C,
+    0x801E3894, 0x057F0034,
+    0x80163440, 0x04B6195D,
+    0x800F6B88, 0x03ED26E6,
+    0x8009DE7D, 0x03242ABF,
+    0x80058D2E, 0x025B26D7,
+    0x800277A5, 0x01921D1F,
+    0x80009DE9, 0x00C90F88,
+    0x80000000, 0x00000000,
+    0x80009DE9, 0xFF36F078,
+    0x800277A5, 0xFE6DE2E0,
+    0x80058D2E, 0xFDA4D928,
+    0x8009DE7D, 0xFCDBD541,
+    0x800F6B88, 0xFC12D919,
+    0x80163440, 0xFB49E6A2,
+    0x801E3894, 0xFA80FFCB,
+    0x80277872, 0xF9B82683,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x803DAA69, 0xF826A461,
+    0x804A9C4D, 0xF75DFF65,
+    0x8058C94C, 0xF6956FB6,
+    0x80683143, 0xF5CCF743,
+    0x8078D40D, 0xF50497FA,
+    0x808AB180, 0xF43C53CA,
+    0x809DC970, 0xF3742CA1,
+    0x80B21BAF, 0xF2AC246D,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80DE6E4C, 0xF11C789A,
+    0x80F66E3C, 0xF054D8D4,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x812A1A39, 0xEEC60F31,
+    0x8145C5C6, 0xEDFEE92B,
+    0x8162AA03, 0xED37EF91,
+    0x8180C6A9, 0xEC71244F,
+    0x81A01B6C, 0xEBAA894E,
+    0x81C0A801, 0xEAE4207A,
+    0x81E26C16, 0xEA1DEBBB,
+    0x82056758, 0xE957ECFB,
+    0x82299971, 0xE8922621,
+    0x824F0208, 0xE7CC9917,
+    0x8275A0C0, 0xE70747C3,
+    0x829D753A, 0xE642340D,
+    0x82C67F13, 0xE57D5FDA,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x831C314E, 0xE3F47D95,
+    0x8348D8DB, 0xE330734C,
+    0x8376B422, 0xE26CB01A,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83D60411, 0xE0E60684,
+    0x840777CF, 0xE02323E5,
+    0x843A1D70, 0xDF608FE3,
+    0x846DF476, 0xDE9E4C60,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84D934B0, 0xDD1ABE51,
+    0x85109CDC, 0xDC597781,
+    0x8549345C, 0xDB9888A8,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85FA1152, 0xD957DE7A,
+    0x86376092, 0xD898620C,
+    0x8675DC4E, 0xD7D946D7,
+    0x86B583EE, 0xD71A8EB5,
+    0x86F656D3, 0xD65C3B7B,
+    0x8738545E, 0xD59E4EFE,
+    0x877B7BEC, 0xD4E0CB14,
+    0x87BFCCD7, 0xD423B190,
+    0x88054677, 0xD3670445,
+    0x884BE820, 0xD2AAC504,
+    0x8893B124, 0xD1EEF59E,
+    0x88DCA0D3, 0xD13397E1,
+    0x8926B677, 0xD078AD9D,
+    0x8971F15A, 0xCFBE389F,
+    0x89BE50C3, 0xCF043AB2,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B4D377C, 0xCB697DB0,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C4A142F, 0xC945DFEC,
+    0x8CA099D9, 0xC89061BA,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D50FA59, 0xC727016C,
+    0x8DAAD37B, 0xC67322CD,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E61D32D, 0xC50D1148,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8FDCEF66, 0xC247CD5A,
+    0x903E6C7A, 0xC197F4D3,
+    0x90A0FD4E, 0xC0E8B648,
+    0x9104A0ED, 0xC03A1368,
+    0x91695663, 0xBF8C0DE2,
+    0x91CF1CB6, 0xBEDEA765,
+    0x9235F2EB, 0xBE31E19B,
+    0x929DD805, 0xBD85BE2F,
+    0x9306CB04, 0xBCDA3ECA,
+    0x9370CAE4, 0xBC2F6513,
+    0x93DBD69F, 0xBB8532AF,
+    0x9447ED2F, 0xBADBA943,
+    0x94B50D87, 0xBA32CA70,
+    0x9523369B, 0xB98A97D8,
+    0x9592675B, 0xB8E31319,
+    0x96029EB5, 0xB83C3DD1,
+    0x9673DB94, 0xB796199B,
+    0x96E61CDF, 0xB6F0A811,
+    0x9759617E, 0xB64BEACC,
+    0x97CDA855, 0xB5A7E362,
+    0x9842F043, 0xB5049368,
+    0x98B93828, 0xB461FC70,
+    0x99307EE0, 0xB3C0200C,
+    0x99A8C344, 0xB31EFFCB,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9B1776D9, 0xB140175B,
+    0x9B93A640, 0xB0A1F71C,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D8E0596, 0xAE312B91,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F979331, 0xABCCFD82,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA1288376, 0xAA0A5B2D,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA2386283, 0xA8E21106,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA3D6F533, 0xA72BF173,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA57D8666, 0xA57D8666,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA69B9B68, 0xA462EEAC,
+    0xA72BF173, 0xA3D6F533,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA8E21106, 0xA2386283,
+    0xA975CB56, 0xA1AFFEA2,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAB35F5B5, 0xA01C4C72,
+    0xABCCFD82, 0x9F979331,
+    0xAC64D510, 0x9F13C7D0,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xAE312B91, 0x9D8E0596,
+    0xAECC336B, 0x9D0DFE53,
+    0xAF6803A1, 0x9C8EEB33,
+    0xB0049AB2, 0x9C10CD70,
+    0xB0A1F71C, 0x9B93A640,
+    0xB140175B, 0x9B1776D9,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB27E9D3B, 0x9A22042C,
+    0xB31EFFCB, 0x99A8C344,
+    0xB3C0200C, 0x99307EE0,
+    0xB461FC70, 0x98B93828,
+    0xB5049368, 0x9842F043,
+    0xB5A7E362, 0x97CDA855,
+    0xB64BEACC, 0x9759617E,
+    0xB6F0A811, 0x96E61CDF,
+    0xB796199B, 0x9673DB94,
+    0xB83C3DD1, 0x96029EB5,
+    0xB8E31319, 0x9592675B,
+    0xB98A97D8, 0x9523369B,
+    0xBA32CA70, 0x94B50D87,
+    0xBADBA943, 0x9447ED2F,
+    0xBB8532AF, 0x93DBD69F,
+    0xBC2F6513, 0x9370CAE4,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD85BE2F, 0x929DD805,
+    0xBE31E19B, 0x9235F2EB,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF8C0DE2, 0x91695663,
+    0xC03A1368, 0x9104A0ED,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC197F4D3, 0x903E6C7A,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC3A9458F, 0x8F1D343A,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC50D1148, 0x8E61D32D,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC67322CD, 0x8DAAD37B,
+    0xC727016C, 0x8D50FA59,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC89061BA, 0x8CA099D9,
+    0xC945DFEC, 0x8C4A142F,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCB697DB0, 0x8B4D377C,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCF043AB2, 0x89BE50C3,
+    0xCFBE389F, 0x8971F15A,
+    0xD078AD9D, 0x8926B677,
+    0xD13397E1, 0x88DCA0D3,
+    0xD1EEF59E, 0x8893B124,
+    0xD2AAC504, 0x884BE820,
+    0xD3670445, 0x88054677,
+    0xD423B190, 0x87BFCCD7,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD59E4EFE, 0x8738545E,
+    0xD65C3B7B, 0x86F656D3,
+    0xD71A8EB5, 0x86B583EE,
+    0xD7D946D7, 0x8675DC4E,
+    0xD898620C, 0x86376092,
+    0xD957DE7A, 0x85FA1152,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB9888A8, 0x8549345C,
+    0xDC597781, 0x85109CDC,
+    0xDD1ABE51, 0x84D934B0,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE9E4C60, 0x846DF476,
+    0xDF608FE3, 0x843A1D70,
+    0xE02323E5, 0x840777CF,
+    0xE0E60684, 0x83D60411,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE26CB01A, 0x8376B422,
+    0xE330734C, 0x8348D8DB,
+    0xE3F47D95, 0x831C314E,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE57D5FDA, 0x82C67F13,
+    0xE642340D, 0x829D753A,
+    0xE70747C3, 0x8275A0C0,
+    0xE7CC9917, 0x824F0208,
+    0xE8922621, 0x82299971,
+    0xE957ECFB, 0x82056758,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEAE4207A, 0x81C0A801,
+    0xEBAA894E, 0x81A01B6C,
+    0xEC71244F, 0x8180C6A9,
+    0xED37EF91, 0x8162AA03,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEEC60F31, 0x812A1A39,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xF054D8D4, 0x80F66E3C,
+    0xF11C789A, 0x80DE6E4C,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF2AC246D, 0x80B21BAF,
+    0xF3742CA1, 0x809DC970,
+    0xF43C53CA, 0x808AB180,
+    0xF50497FA, 0x8078D40D,
+    0xF5CCF743, 0x80683143,
+    0xF6956FB6, 0x8058C94C,
+    0xF75DFF65, 0x804A9C4D,
+    0xF826A461, 0x803DAA69,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF9B82683, 0x80277872,
+    0xFA80FFCB, 0x801E3894,
+    0xFB49E6A2, 0x80163440,
+    0xFC12D919, 0x800F6B88,
+    0xFCDBD541, 0x8009DE7D,
+    0xFDA4D928, 0x80058D2E,
+    0xFE6DE2E0, 0x800277A5,
+    0xFF36F078, 0x80009DE9
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 2048	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_2048_q31[3072] = {
+    0x7FFFFFFF, 0x00000000,
+    0x7FFFD885, 0x006487E3,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFE9CB2, 0x012D96B0,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFC250F, 0x01F6A296,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF871A1, 0x02BFA9A4,
+    0x7FF62182, 0x03242ABF,
+    0x7FF38273, 0x0388A9E9,
+    0x7FF09477, 0x03ED26E6,
+    0x7FED5790, 0x0451A176,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE5F108, 0x051A8E5C,
+    0x7FE1C76B, 0x057F0034,
+    0x7FDD4EEC, 0x05E36EA9,
+    0x7FD8878D, 0x0647D97C,
+    0x7FD37152, 0x06AC406F,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FC85853, 0x077501BE,
+    0x7FC25596, 0x07D95B9E,
+    0x7FBC040A, 0x083DB0A7,
+    0x7FB563B2, 0x08A2009A,
+    0x7FAE7494, 0x09064B3A,
+    0x7FA736B4, 0x096A9049,
+    0x7F9FAA15, 0x09CECF89,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F8FA4AF, 0x0A973BA5,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F7E648B, 0x0B5F8D9F,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F6BE9D4, 0x0C27C389,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F5834B6, 0x0CEFDB75,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F434563, 0x0DB7D376,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F2D1C0E, 0x0E7FA99D,
+    0x7F2191B4, 0x0EE38765,
+    0x7F15B8EE, 0x0F475BFE,
+    0x7F0991C3, 0x0FAB272B,
+    0x7EFD1C3C, 0x100EE8AD,
+    0x7EF0585F, 0x1072A047,
+    0x7EE34635, 0x10D64DBC,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7EC8371A, 0x119D8940,
+    0x7EBA3A39, 0x120116D4,
+    0x7EABEF2C, 0x1264994E,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E8E6EB1, 0x132B7BF9,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E6FB5F3, 0x13F22F57,
+    0x7E5FE493, 0x145576B1,
+    0x7E4FC53E, 0x14B8B17F,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E2E9CDF, 0x157F0086,
+    0x7E1D93E9, 0x15E21444,
+    0x7E0C3D29, 0x16451A83,
+    0x7DFA98A7, 0x16A81305,
+    0x7DE8A670, 0x170AFD8D,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DC3D90D, 0x17D0A7BB,
+    0x7DB0FDF7, 0x183366E8,
+    0x7D9DD55A, 0x18961727,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D769BB5, 0x195B49E9,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D4E2C7E, 0x1A203E1B,
+    0x7D3980EC, 0x1A82A025,
+    0x7D24881A, 0x1AE4F1D6,
+    0x7D0F4218, 0x1B4732EF,
+    0x7CF9AEF0, 0x1BA96334,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CCDA168, 0x1C6D9053,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7CA05FF1, 0x1D31774D,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C71EAF8, 0x1DF5163F,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C4242F2, 0x1EB86B46,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7C116853, 0x1F7B7480,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BDF5B94, 0x203E300D,
+    0x7BC5E28F, 0x209F701C,
+    0x7BAC1D31, 0x21009C0B,
+    0x7B920B89, 0x2161B39F,
+    0x7B77ADA8, 0x21C2B69C,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B420D7A, 0x22847DDF,
+    0x7B26CB4F, 0x22E541AE,
+    0x7B0B3D2C, 0x2345EFF7,
+    0x7AEF6323, 0x23A6887E,
+    0x7AD33D45, 0x24070B07,
+    0x7AB6CBA3, 0x24677757,
+    0x7A9A0E4F, 0x24C7CD32,
+    0x7A7D055B, 0x25280C5D,
+    0x7A5FB0D8, 0x2588349D,
+    0x7A4210D8, 0x25E845B5,
+    0x7A24256E, 0x26483F6C,
+    0x7A05EEAD, 0x26A82185,
+    0x79E76CA6, 0x2707EBC6,
+    0x79C89F6D, 0x27679DF4,
+    0x79A98715, 0x27C737D2,
+    0x798A23B1, 0x2826B928,
+    0x796A7554, 0x288621B9,
+    0x794A7C11, 0x28E5714A,
+    0x792A37FE, 0x2944A7A2,
+    0x7909A92C, 0x29A3C484,
+    0x78E8CFB1, 0x2A02C7B8,
+    0x78C7ABA1, 0x2A61B101,
+    0x78A63D10, 0x2AC08025,
+    0x78848413, 0x2B1F34EB,
+    0x786280BF, 0x2B7DCF17,
+    0x78403328, 0x2BDC4E6F,
+    0x781D9B64, 0x2C3AB2B9,
+    0x77FAB988, 0x2C98FBBA,
+    0x77D78DAA, 0x2CF72939,
+    0x77B417DF, 0x2D553AFB,
+    0x7790583D, 0x2DB330C7,
+    0x776C4EDB, 0x2E110A62,
+    0x7747FBCE, 0x2E6EC792,
+    0x77235F2D, 0x2ECC681E,
+    0x76FE790E, 0x2F29EBCC,
+    0x76D94988, 0x2F875262,
+    0x76B3D0B3, 0x2FE49BA6,
+    0x768E0EA5, 0x3041C760,
+    0x76680376, 0x309ED555,
+    0x7641AF3C, 0x30FBC54D,
+    0x761B1211, 0x3158970D,
+    0x75F42C0A, 0x31B54A5D,
+    0x75CCFD42, 0x3211DF03,
+    0x75A585CF, 0x326E54C7,
+    0x757DC5CA, 0x32CAAB6F,
+    0x7555BD4B, 0x3326E2C2,
+    0x752D6C6C, 0x3382FA88,
+    0x7504D345, 0x33DEF287,
+    0x74DBF1EF, 0x343ACA87,
+    0x74B2C883, 0x3496824F,
+    0x7489571B, 0x34F219A7,
+    0x745F9DD1, 0x354D9056,
+    0x74359CBD, 0x35A8E624,
+    0x740B53FA, 0x36041AD9,
+    0x73E0C3A3, 0x365F2E3B,
+    0x73B5EBD0, 0x36BA2013,
+    0x738ACC9E, 0x3714F02A,
+    0x735F6626, 0x376F9E46,
+    0x7333B883, 0x37CA2A30,
+    0x7307C3D0, 0x382493B0,
+    0x72DB8828, 0x387EDA8E,
+    0x72AF05A6, 0x38D8FE93,
+    0x72823C66, 0x3932FF87,
+    0x72552C84, 0x398CDD32,
+    0x7227D61C, 0x39E6975D,
+    0x71FA3948, 0x3A402DD1,
+    0x71CC5626, 0x3A99A057,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x716FBD68, 0x3B4C18BA,
+    0x71410804, 0x3BA51E29,
+    0x71120CC5, 0x3BFDFECD,
+    0x70E2CBC6, 0x3C56BA70,
+    0x70B34524, 0x3CAF50DA,
+    0x708378FE, 0x3D07C1D5,
+    0x70536771, 0x3D600D2B,
+    0x70231099, 0x3DB832A5,
+    0x6FF27496, 0x3E10320D,
+    0x6FC19385, 0x3E680B2C,
+    0x6F906D84, 0x3EBFBDCC,
+    0x6F5F02B1, 0x3F1749B7,
+    0x6F2D532C, 0x3F6EAEB8,
+    0x6EFB5F12, 0x3FC5EC97,
+    0x6EC92682, 0x401D0320,
+    0x6E96A99C, 0x4073F21D,
+    0x6E63E87F, 0x40CAB957,
+    0x6E30E349, 0x4121589A,
+    0x6DFD9A1B, 0x4177CFB0,
+    0x6DCA0D14, 0x41CE1E64,
+    0x6D963C54, 0x42244480,
+    0x6D6227FA, 0x427A41D0,
+    0x6D2DD027, 0x42D0161E,
+    0x6CF934FB, 0x4325C135,
+    0x6CC45697, 0x437B42E1,
+    0x6C8F351C, 0x43D09AEC,
+    0x6C59D0A9, 0x4425C923,
+    0x6C242960, 0x447ACD50,
+    0x6BEE3F62, 0x44CFA73F,
+    0x6BB812D0, 0x452456BC,
+    0x6B81A3CD, 0x4578DB93,
+    0x6B4AF278, 0x45CD358F,
+    0x6B13FEF5, 0x4621647C,
+    0x6ADCC964, 0x46756827,
+    0x6AA551E8, 0x46C9405C,
+    0x6A6D98A4, 0x471CECE6,
+    0x6A359DB9, 0x47706D93,
+    0x69FD614A, 0x47C3C22E,
+    0x69C4E37A, 0x4816EA85,
+    0x698C246C, 0x4869E664,
+    0x69532442, 0x48BCB598,
+    0x6919E320, 0x490F57EE,
+    0x68E06129, 0x4961CD32,
+    0x68A69E81, 0x49B41533,
+    0x686C9B4B, 0x4A062FBD,
+    0x683257AA, 0x4A581C9D,
+    0x67F7D3C4, 0x4AA9DBA1,
+    0x67BD0FBC, 0x4AFB6C97,
+    0x67820BB6, 0x4B4CCF4D,
+    0x6746C7D7, 0x4B9E038F,
+    0x670B4443, 0x4BEF092D,
+    0x66CF811F, 0x4C3FDFF3,
+    0x66937E90, 0x4C9087B1,
+    0x66573CBB, 0x4CE10034,
+    0x661ABBC5, 0x4D31494B,
+    0x65DDFBD3, 0x4D8162C4,
+    0x65A0FD0B, 0x4DD14C6E,
+    0x6563BF92, 0x4E210617,
+    0x6526438E, 0x4E708F8F,
+    0x64E88926, 0x4EBFE8A4,
+    0x64AA907F, 0x4F0F1126,
+    0x646C59BF, 0x4F5E08E3,
+    0x642DE50D, 0x4FACCFAB,
+    0x63EF328F, 0x4FFB654D,
+    0x63B0426D, 0x5049C999,
+    0x637114CC, 0x5097FC5E,
+    0x6331A9D4, 0x50E5FD6C,
+    0x62F201AC, 0x5133CC94,
+    0x62B21C7B, 0x518169A4,
+    0x6271FA69, 0x51CED46E,
+    0x62319B9D, 0x521C0CC1,
+    0x61F1003E, 0x5269126E,
+    0x61B02876, 0x52B5E545,
+    0x616F146B, 0x53028517,
+    0x612DC446, 0x534EF1B5,
+    0x60EC3830, 0x539B2AEF,
+    0x60AA704F, 0x53E73097,
+    0x60686CCE, 0x5433027D,
+    0x60262DD5, 0x547EA073,
+    0x5FE3B38D, 0x54CA0A4A,
+    0x5FA0FE1E, 0x55153FD4,
+    0x5F5E0DB3, 0x556040E2,
+    0x5F1AE273, 0x55AB0D46,
+    0x5ED77C89, 0x55F5A4D2,
+    0x5E93DC1F, 0x56400757,
+    0x5E50015D, 0x568A34A9,
+    0x5E0BEC6E, 0x56D42C99,
+    0x5DC79D7C, 0x571DEEF9,
+    0x5D8314B0, 0x57677B9D,
+    0x5D3E5236, 0x57B0D256,
+    0x5CF95638, 0x57F9F2F7,
+    0x5CB420DF, 0x5842DD54,
+    0x5C6EB258, 0x588B913F,
+    0x5C290ACC, 0x58D40E8C,
+    0x5BE32A67, 0x591C550E,
+    0x5B9D1153, 0x59646497,
+    0x5B56BFBD, 0x59AC3CFD,
+    0x5B1035CF, 0x59F3DE12,
+    0x5AC973B4, 0x5A3B47AA,
+    0x5A82799A, 0x5A82799A,
+    0x5A3B47AA, 0x5AC973B4,
+    0x59F3DE12, 0x5B1035CF,
+    0x59AC3CFD, 0x5B56BFBD,
+    0x59646497, 0x5B9D1153,
+    0x591C550E, 0x5BE32A67,
+    0x58D40E8C, 0x5C290ACC,
+    0x588B913F, 0x5C6EB258,
+    0x5842DD54, 0x5CB420DF,
+    0x57F9F2F7, 0x5CF95638,
+    0x57B0D256, 0x5D3E5236,
+    0x57677B9D, 0x5D8314B0,
+    0x571DEEF9, 0x5DC79D7C,
+    0x56D42C99, 0x5E0BEC6E,
+    0x568A34A9, 0x5E50015D,
+    0x56400757, 0x5E93DC1F,
+    0x55F5A4D2, 0x5ED77C89,
+    0x55AB0D46, 0x5F1AE273,
+    0x556040E2, 0x5F5E0DB3,
+    0x55153FD4, 0x5FA0FE1E,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x547EA073, 0x60262DD5,
+    0x5433027D, 0x60686CCE,
+    0x53E73097, 0x60AA704F,
+    0x539B2AEF, 0x60EC3830,
+    0x534EF1B5, 0x612DC446,
+    0x53028517, 0x616F146B,
+    0x52B5E545, 0x61B02876,
+    0x5269126E, 0x61F1003E,
+    0x521C0CC1, 0x62319B9D,
+    0x51CED46E, 0x6271FA69,
+    0x518169A4, 0x62B21C7B,
+    0x5133CC94, 0x62F201AC,
+    0x50E5FD6C, 0x6331A9D4,
+    0x5097FC5E, 0x637114CC,
+    0x5049C999, 0x63B0426D,
+    0x4FFB654D, 0x63EF328F,
+    0x4FACCFAB, 0x642DE50D,
+    0x4F5E08E3, 0x646C59BF,
+    0x4F0F1126, 0x64AA907F,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E708F8F, 0x6526438E,
+    0x4E210617, 0x6563BF92,
+    0x4DD14C6E, 0x65A0FD0B,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4D31494B, 0x661ABBC5,
+    0x4CE10034, 0x66573CBB,
+    0x4C9087B1, 0x66937E90,
+    0x4C3FDFF3, 0x66CF811F,
+    0x4BEF092D, 0x670B4443,
+    0x4B9E038F, 0x6746C7D7,
+    0x4B4CCF4D, 0x67820BB6,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4AA9DBA1, 0x67F7D3C4,
+    0x4A581C9D, 0x683257AA,
+    0x4A062FBD, 0x686C9B4B,
+    0x49B41533, 0x68A69E81,
+    0x4961CD32, 0x68E06129,
+    0x490F57EE, 0x6919E320,
+    0x48BCB598, 0x69532442,
+    0x4869E664, 0x698C246C,
+    0x4816EA85, 0x69C4E37A,
+    0x47C3C22E, 0x69FD614A,
+    0x47706D93, 0x6A359DB9,
+    0x471CECE6, 0x6A6D98A4,
+    0x46C9405C, 0x6AA551E8,
+    0x46756827, 0x6ADCC964,
+    0x4621647C, 0x6B13FEF5,
+    0x45CD358F, 0x6B4AF278,
+    0x4578DB93, 0x6B81A3CD,
+    0x452456BC, 0x6BB812D0,
+    0x44CFA73F, 0x6BEE3F62,
+    0x447ACD50, 0x6C242960,
+    0x4425C923, 0x6C59D0A9,
+    0x43D09AEC, 0x6C8F351C,
+    0x437B42E1, 0x6CC45697,
+    0x4325C135, 0x6CF934FB,
+    0x42D0161E, 0x6D2DD027,
+    0x427A41D0, 0x6D6227FA,
+    0x42244480, 0x6D963C54,
+    0x41CE1E64, 0x6DCA0D14,
+    0x4177CFB0, 0x6DFD9A1B,
+    0x4121589A, 0x6E30E349,
+    0x40CAB957, 0x6E63E87F,
+    0x4073F21D, 0x6E96A99C,
+    0x401D0320, 0x6EC92682,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F6EAEB8, 0x6F2D532C,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3EBFBDCC, 0x6F906D84,
+    0x3E680B2C, 0x6FC19385,
+    0x3E10320D, 0x6FF27496,
+    0x3DB832A5, 0x70231099,
+    0x3D600D2B, 0x70536771,
+    0x3D07C1D5, 0x708378FE,
+    0x3CAF50DA, 0x70B34524,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3BFDFECD, 0x71120CC5,
+    0x3BA51E29, 0x71410804,
+    0x3B4C18BA, 0x716FBD68,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3A99A057, 0x71CC5626,
+    0x3A402DD1, 0x71FA3948,
+    0x39E6975D, 0x7227D61C,
+    0x398CDD32, 0x72552C84,
+    0x3932FF87, 0x72823C66,
+    0x38D8FE93, 0x72AF05A6,
+    0x387EDA8E, 0x72DB8828,
+    0x382493B0, 0x7307C3D0,
+    0x37CA2A30, 0x7333B883,
+    0x376F9E46, 0x735F6626,
+    0x3714F02A, 0x738ACC9E,
+    0x36BA2013, 0x73B5EBD0,
+    0x365F2E3B, 0x73E0C3A3,
+    0x36041AD9, 0x740B53FA,
+    0x35A8E624, 0x74359CBD,
+    0x354D9056, 0x745F9DD1,
+    0x34F219A7, 0x7489571B,
+    0x3496824F, 0x74B2C883,
+    0x343ACA87, 0x74DBF1EF,
+    0x33DEF287, 0x7504D345,
+    0x3382FA88, 0x752D6C6C,
+    0x3326E2C2, 0x7555BD4B,
+    0x32CAAB6F, 0x757DC5CA,
+    0x326E54C7, 0x75A585CF,
+    0x3211DF03, 0x75CCFD42,
+    0x31B54A5D, 0x75F42C0A,
+    0x3158970D, 0x761B1211,
+    0x30FBC54D, 0x7641AF3C,
+    0x309ED555, 0x76680376,
+    0x3041C760, 0x768E0EA5,
+    0x2FE49BA6, 0x76B3D0B3,
+    0x2F875262, 0x76D94988,
+    0x2F29EBCC, 0x76FE790E,
+    0x2ECC681E, 0x77235F2D,
+    0x2E6EC792, 0x7747FBCE,
+    0x2E110A62, 0x776C4EDB,
+    0x2DB330C7, 0x7790583D,
+    0x2D553AFB, 0x77B417DF,
+    0x2CF72939, 0x77D78DAA,
+    0x2C98FBBA, 0x77FAB988,
+    0x2C3AB2B9, 0x781D9B64,
+    0x2BDC4E6F, 0x78403328,
+    0x2B7DCF17, 0x786280BF,
+    0x2B1F34EB, 0x78848413,
+    0x2AC08025, 0x78A63D10,
+    0x2A61B101, 0x78C7ABA1,
+    0x2A02C7B8, 0x78E8CFB1,
+    0x29A3C484, 0x7909A92C,
+    0x2944A7A2, 0x792A37FE,
+    0x28E5714A, 0x794A7C11,
+    0x288621B9, 0x796A7554,
+    0x2826B928, 0x798A23B1,
+    0x27C737D2, 0x79A98715,
+    0x27679DF4, 0x79C89F6D,
+    0x2707EBC6, 0x79E76CA6,
+    0x26A82185, 0x7A05EEAD,
+    0x26483F6C, 0x7A24256E,
+    0x25E845B5, 0x7A4210D8,
+    0x2588349D, 0x7A5FB0D8,
+    0x25280C5D, 0x7A7D055B,
+    0x24C7CD32, 0x7A9A0E4F,
+    0x24677757, 0x7AB6CBA3,
+    0x24070B07, 0x7AD33D45,
+    0x23A6887E, 0x7AEF6323,
+    0x2345EFF7, 0x7B0B3D2C,
+    0x22E541AE, 0x7B26CB4F,
+    0x22847DDF, 0x7B420D7A,
+    0x2223A4C5, 0x7B5D039D,
+    0x21C2B69C, 0x7B77ADA8,
+    0x2161B39F, 0x7B920B89,
+    0x21009C0B, 0x7BAC1D31,
+    0x209F701C, 0x7BC5E28F,
+    0x203E300D, 0x7BDF5B94,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1F7B7480, 0x7C116853,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1EB86B46, 0x7C4242F2,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1DF5163F, 0x7C71EAF8,
+    0x1D934FE5, 0x7C894BDD,
+    0x1D31774D, 0x7CA05FF1,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C6D9053, 0x7CCDA168,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1BA96334, 0x7CF9AEF0,
+    0x1B4732EF, 0x7D0F4218,
+    0x1AE4F1D6, 0x7D24881A,
+    0x1A82A025, 0x7D3980EC,
+    0x1A203E1B, 0x7D4E2C7E,
+    0x19BDCBF2, 0x7D628AC5,
+    0x195B49E9, 0x7D769BB5,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x18961727, 0x7D9DD55A,
+    0x183366E8, 0x7DB0FDF7,
+    0x17D0A7BB, 0x7DC3D90D,
+    0x176DD9DE, 0x7DD6668E,
+    0x170AFD8D, 0x7DE8A670,
+    0x16A81305, 0x7DFA98A7,
+    0x16451A83, 0x7E0C3D29,
+    0x15E21444, 0x7E1D93E9,
+    0x157F0086, 0x7E2E9CDF,
+    0x151BDF85, 0x7E3F57FE,
+    0x14B8B17F, 0x7E4FC53E,
+    0x145576B1, 0x7E5FE493,
+    0x13F22F57, 0x7E6FB5F3,
+    0x138EDBB0, 0x7E7F3956,
+    0x132B7BF9, 0x7E8E6EB1,
+    0x12C8106E, 0x7E9D55FC,
+    0x1264994E, 0x7EABEF2C,
+    0x120116D4, 0x7EBA3A39,
+    0x119D8940, 0x7EC8371A,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x10D64DBC, 0x7EE34635,
+    0x1072A047, 0x7EF0585F,
+    0x100EE8AD, 0x7EFD1C3C,
+    0x0FAB272B, 0x7F0991C3,
+    0x0F475BFE, 0x7F15B8EE,
+    0x0EE38765, 0x7F2191B4,
+    0x0E7FA99D, 0x7F2D1C0E,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0DB7D376, 0x7F434563,
+    0x0D53DB92, 0x7F4DE450,
+    0x0CEFDB75, 0x7F5834B6,
+    0x0C8BD35E, 0x7F62368F,
+    0x0C27C389, 0x7F6BE9D4,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0B5F8D9F, 0x7F7E648B,
+    0x0AFB6805, 0x7F872BF3,
+    0x0A973BA5, 0x7F8FA4AF,
+    0x0A3308BC, 0x7F97CEBC,
+    0x09CECF89, 0x7F9FAA15,
+    0x096A9049, 0x7FA736B4,
+    0x09064B3A, 0x7FAE7494,
+    0x08A2009A, 0x7FB563B2,
+    0x083DB0A7, 0x7FBC040A,
+    0x07D95B9E, 0x7FC25596,
+    0x077501BE, 0x7FC85853,
+    0x0710A344, 0x7FCE0C3E,
+    0x06AC406F, 0x7FD37152,
+    0x0647D97C, 0x7FD8878D,
+    0x05E36EA9, 0x7FDD4EEC,
+    0x057F0034, 0x7FE1C76B,
+    0x051A8E5C, 0x7FE5F108,
+    0x04B6195D, 0x7FE9CBC0,
+    0x0451A176, 0x7FED5790,
+    0x03ED26E6, 0x7FF09477,
+    0x0388A9E9, 0x7FF38273,
+    0x03242ABF, 0x7FF62182,
+    0x02BFA9A4, 0x7FF871A1,
+    0x025B26D7, 0x7FFA72D1,
+    0x01F6A296, 0x7FFC250F,
+    0x01921D1F, 0x7FFD885A,
+    0x012D96B0, 0x7FFE9CB2,
+    0x00C90F88, 0x7FFF6216,
+    0x006487E3, 0x7FFFD885,
+    0x00000000, 0x7FFFFFFF,
+    0xFF9B781D, 0x7FFFD885,
+    0xFF36F078, 0x7FFF6216,
+    0xFED2694F, 0x7FFE9CB2,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFE095D69, 0x7FFC250F,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFD40565B, 0x7FF871A1,
+    0xFCDBD541, 0x7FF62182,
+    0xFC775616, 0x7FF38273,
+    0xFC12D919, 0x7FF09477,
+    0xFBAE5E89, 0x7FED5790,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFAE571A4, 0x7FE5F108,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xFA1C9156, 0x7FDD4EEC,
+    0xF9B82683, 0x7FD8878D,
+    0xF953BF90, 0x7FD37152,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF88AFE41, 0x7FC85853,
+    0xF826A461, 0x7FC25596,
+    0xF7C24F58, 0x7FBC040A,
+    0xF75DFF65, 0x7FB563B2,
+    0xF6F9B4C5, 0x7FAE7494,
+    0xF6956FB6, 0x7FA736B4,
+    0xF6313076, 0x7F9FAA15,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF568C45A, 0x7F8FA4AF,
+    0xF50497FA, 0x7F872BF3,
+    0xF4A07260, 0x7F7E648B,
+    0xF43C53CA, 0x7F754E7F,
+    0xF3D83C76, 0x7F6BE9D4,
+    0xF3742CA1, 0x7F62368F,
+    0xF310248A, 0x7F5834B6,
+    0xF2AC246D, 0x7F4DE450,
+    0xF2482C89, 0x7F434563,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF1805662, 0x7F2D1C0E,
+    0xF11C789A, 0x7F2191B4,
+    0xF0B8A401, 0x7F15B8EE,
+    0xF054D8D4, 0x7F0991C3,
+    0xEFF11752, 0x7EFD1C3C,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEF29B243, 0x7EE34635,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEE6276BF, 0x7EC8371A,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xED9B66B2, 0x7EABEF2C,
+    0xED37EF91, 0x7E9D55FC,
+    0xECD48406, 0x7E8E6EB1,
+    0xEC71244F, 0x7E7F3956,
+    0xEC0DD0A8, 0x7E6FB5F3,
+    0xEBAA894E, 0x7E5FE493,
+    0xEB474E80, 0x7E4FC53E,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEA80FF79, 0x7E2E9CDF,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE9BAE57C, 0x7E0C3D29,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE8F50273, 0x7DE8A670,
+    0xE8922621, 0x7DD6668E,
+    0xE82F5844, 0x7DC3D90D,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE769E8D8, 0x7D9DD55A,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE6A4B616, 0x7D769BB5,
+    0xE642340D, 0x7D628AC5,
+    0xE5DFC1E4, 0x7D4E2C7E,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE51B0E2A, 0x7D24881A,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE4569CCB, 0x7CF9AEF0,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE3926FAC, 0x7CCDA168,
+    0xE330734C, 0x7CB72724,
+    0xE2CE88B2, 0x7CA05FF1,
+    0xE26CB01A, 0x7C894BDD,
+    0xE20AE9C1, 0x7C71EAF8,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE14794B9, 0x7C4242F2,
+    0xE0E60684, 0x7C29FBEE,
+    0xE0848B7F, 0x7C116853,
+    0xE02323E5, 0x7BF88830,
+    0xDFC1CFF2, 0x7BDF5B94,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDEFF63F4, 0x7BAC1D31,
+    0xDE9E4C60, 0x7B920B89,
+    0xDE3D4963, 0x7B77ADA8,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDD7B8220, 0x7B420D7A,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDCBA1008, 0x7B0B3D2C,
+    0xDC597781, 0x7AEF6323,
+    0xDBF8F4F8, 0x7AD33D45,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDB3832CD, 0x7A9A0E4F,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDA77CB62, 0x7A5FB0D8,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD9B7C093, 0x7A24256E,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD8F81439, 0x79E76CA6,
+    0xD898620C, 0x79C89F6D,
+    0xD838C82D, 0x79A98715,
+    0xD7D946D7, 0x798A23B1,
+    0xD779DE46, 0x796A7554,
+    0xD71A8EB5, 0x794A7C11,
+    0xD6BB585D, 0x792A37FE,
+    0xD65C3B7B, 0x7909A92C,
+    0xD5FD3847, 0x78E8CFB1,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD53F7FDA, 0x78A63D10,
+    0xD4E0CB14, 0x78848413,
+    0xD48230E8, 0x786280BF,
+    0xD423B190, 0x78403328,
+    0xD3C54D46, 0x781D9B64,
+    0xD3670445, 0x77FAB988,
+    0xD308D6C6, 0x77D78DAA,
+    0xD2AAC504, 0x77B417DF,
+    0xD24CCF38, 0x7790583D,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD191386D, 0x7747FBCE,
+    0xD13397E1, 0x77235F2D,
+    0xD0D61433, 0x76FE790E,
+    0xD078AD9D, 0x76D94988,
+    0xD01B6459, 0x76B3D0B3,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF612AAA, 0x76680376,
+    0xCF043AB2, 0x7641AF3C,
+    0xCEA768F2, 0x761B1211,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCDEE20FC, 0x75CCFD42,
+    0xCD91AB38, 0x75A585CF,
+    0xCD355490, 0x757DC5CA,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCC7D0577, 0x752D6C6C,
+    0xCC210D78, 0x7504D345,
+    0xCBC53578, 0x74DBF1EF,
+    0xCB697DB0, 0x74B2C883,
+    0xCB0DE658, 0x7489571B,
+    0xCAB26FA9, 0x745F9DD1,
+    0xCA5719DB, 0x74359CBD,
+    0xC9FBE527, 0x740B53FA,
+    0xC9A0D1C4, 0x73E0C3A3,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC8EB0FD6, 0x738ACC9E,
+    0xC89061BA, 0x735F6626,
+    0xC835D5D0, 0x7333B883,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC7812571, 0x72DB8828,
+    0xC727016C, 0x72AF05A6,
+    0xC6CD0079, 0x72823C66,
+    0xC67322CD, 0x72552C84,
+    0xC61968A2, 0x7227D61C,
+    0xC5BFD22E, 0x71FA3948,
+    0xC5665FA8, 0x71CC5626,
+    0xC50D1148, 0x719E2CD2,
+    0xC4B3E746, 0x716FBD68,
+    0xC45AE1D7, 0x71410804,
+    0xC4020132, 0x71120CC5,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC350AF25, 0x70B34524,
+    0xC2F83E2A, 0x708378FE,
+    0xC29FF2D4, 0x70536771,
+    0xC247CD5A, 0x70231099,
+    0xC1EFCDF2, 0x6FF27496,
+    0xC197F4D3, 0x6FC19385,
+    0xC1404233, 0x6F906D84,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC0915147, 0x6F2D532C,
+    0xC03A1368, 0x6EFB5F12,
+    0xBFE2FCDF, 0x6EC92682,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBF3546A8, 0x6E63E87F,
+    0xBEDEA765, 0x6E30E349,
+    0xBE88304F, 0x6DFD9A1B,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBDDBBB7F, 0x6D963C54,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBD2FE9E1, 0x6D2DD027,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBC84BD1E, 0x6CC45697,
+    0xBC2F6513, 0x6C8F351C,
+    0xBBDA36DC, 0x6C59D0A9,
+    0xBB8532AF, 0x6C242960,
+    0xBB3058C0, 0x6BEE3F62,
+    0xBADBA943, 0x6BB812D0,
+    0xBA87246C, 0x6B81A3CD,
+    0xBA32CA70, 0x6B4AF278,
+    0xB9DE9B83, 0x6B13FEF5,
+    0xB98A97D8, 0x6ADCC964,
+    0xB936BFA3, 0x6AA551E8,
+    0xB8E31319, 0x6A6D98A4,
+    0xB88F926C, 0x6A359DB9,
+    0xB83C3DD1, 0x69FD614A,
+    0xB7E9157A, 0x69C4E37A,
+    0xB796199B, 0x698C246C,
+    0xB7434A67, 0x69532442,
+    0xB6F0A811, 0x6919E320,
+    0xB69E32CD, 0x68E06129,
+    0xB64BEACC, 0x68A69E81,
+    0xB5F9D042, 0x686C9B4B,
+    0xB5A7E362, 0x683257AA,
+    0xB556245E, 0x67F7D3C4,
+    0xB5049368, 0x67BD0FBC,
+    0xB4B330B2, 0x67820BB6,
+    0xB461FC70, 0x6746C7D7,
+    0xB410F6D2, 0x670B4443,
+    0xB3C0200C, 0x66CF811F,
+    0xB36F784E, 0x66937E90,
+    0xB31EFFCB, 0x66573CBB,
+    0xB2CEB6B5, 0x661ABBC5,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB22EB392, 0x65A0FD0B,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB18F7070, 0x6526438E,
+    0xB140175B, 0x64E88926,
+    0xB0F0EEDA, 0x64AA907F,
+    0xB0A1F71C, 0x646C59BF,
+    0xB0533055, 0x642DE50D,
+    0xB0049AB2, 0x63EF328F,
+    0xAFB63667, 0x63B0426D,
+    0xAF6803A1, 0x637114CC,
+    0xAF1A0293, 0x6331A9D4,
+    0xAECC336B, 0x62F201AC,
+    0xAE7E965B, 0x62B21C7B,
+    0xAE312B91, 0x6271FA69,
+    0xADE3F33E, 0x62319B9D,
+    0xAD96ED91, 0x61F1003E,
+    0xAD4A1ABA, 0x61B02876,
+    0xACFD7AE8, 0x616F146B,
+    0xACB10E4A, 0x612DC446,
+    0xAC64D510, 0x60EC3830,
+    0xAC18CF68, 0x60AA704F,
+    0xABCCFD82, 0x60686CCE,
+    0xAB815F8C, 0x60262DD5,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAAEAC02B, 0x5FA0FE1E,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA54F2B9, 0x5F1AE273,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA9BFF8A8, 0x5E93DC1F,
+    0xA975CB56, 0x5E50015D,
+    0xA92BD366, 0x5E0BEC6E,
+    0xA8E21106, 0x5DC79D7C,
+    0xA8988463, 0x5D8314B0,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA8060D08, 0x5CF95638,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA7746EC0, 0x5C6EB258,
+    0xA72BF173, 0x5C290ACC,
+    0xA6E3AAF2, 0x5BE32A67,
+    0xA69B9B68, 0x5B9D1153,
+    0xA653C302, 0x5B56BFBD,
+    0xA60C21ED, 0x5B1035CF,
+    0xA5C4B855, 0x5AC973B4,
+    0xA57D8666, 0x5A82799A,
+    0xA5368C4B, 0x5A3B47AA,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA4A94042, 0x59AC3CFD,
+    0xA462EEAC, 0x59646497,
+    0xA41CD598, 0x591C550E,
+    0xA3D6F533, 0x58D40E8C,
+    0xA3914DA7, 0x588B913F,
+    0xA34BDF20, 0x5842DD54,
+    0xA306A9C7, 0x57F9F2F7,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA27CEB4F, 0x57677B9D,
+    0xA2386283, 0x571DEEF9,
+    0xA1F41391, 0x56D42C99,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA16C23E1, 0x56400757,
+    0xA1288376, 0x55F5A4D2,
+    0xA0E51D8C, 0x55AB0D46,
+    0xA0A1F24C, 0x556040E2,
+    0xA05F01E1, 0x55153FD4,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9FD9D22A, 0x547EA073,
+    0x9F979331, 0x5433027D,
+    0x9F558FB0, 0x53E73097,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9ED23BB9, 0x534EF1B5,
+    0x9E90EB94, 0x53028517,
+    0x9E4FD789, 0x52B5E545,
+    0x9E0EFFC1, 0x5269126E,
+    0x9DCE6462, 0x521C0CC1,
+    0x9D8E0596, 0x51CED46E,
+    0x9D4DE384, 0x518169A4,
+    0x9D0DFE53, 0x5133CC94,
+    0x9CCE562B, 0x50E5FD6C,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C4FBD92, 0x5049C999,
+    0x9C10CD70, 0x4FFB654D,
+    0x9BD21AF2, 0x4FACCFAB,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B556F80, 0x4F0F1126,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9AD9BC71, 0x4E708F8F,
+    0x9A9C406D, 0x4E210617,
+    0x9A5F02F5, 0x4DD14C6E,
+    0x9A22042C, 0x4D8162C4,
+    0x99E5443A, 0x4D31494B,
+    0x99A8C344, 0x4CE10034,
+    0x996C816F, 0x4C9087B1,
+    0x99307EE0, 0x4C3FDFF3,
+    0x98F4BBBC, 0x4BEF092D,
+    0x98B93828, 0x4B9E038F,
+    0x987DF449, 0x4B4CCF4D,
+    0x9842F043, 0x4AFB6C97,
+    0x98082C3B, 0x4AA9DBA1,
+    0x97CDA855, 0x4A581C9D,
+    0x979364B5, 0x4A062FBD,
+    0x9759617E, 0x49B41533,
+    0x971F9ED6, 0x4961CD32,
+    0x96E61CDF, 0x490F57EE,
+    0x96ACDBBD, 0x48BCB598,
+    0x9673DB94, 0x4869E664,
+    0x963B1C85, 0x4816EA85,
+    0x96029EB5, 0x47C3C22E,
+    0x95CA6246, 0x47706D93,
+    0x9592675B, 0x471CECE6,
+    0x955AAE17, 0x46C9405C,
+    0x9523369B, 0x46756827,
+    0x94EC010B, 0x4621647C,
+    0x94B50D87, 0x45CD358F,
+    0x947E5C32, 0x4578DB93,
+    0x9447ED2F, 0x452456BC,
+    0x9411C09D, 0x44CFA73F,
+    0x93DBD69F, 0x447ACD50,
+    0x93A62F56, 0x4425C923,
+    0x9370CAE4, 0x43D09AEC,
+    0x933BA968, 0x437B42E1,
+    0x9306CB04, 0x4325C135,
+    0x92D22FD8, 0x42D0161E,
+    0x929DD805, 0x427A41D0,
+    0x9269C3AC, 0x42244480,
+    0x9235F2EB, 0x41CE1E64,
+    0x920265E4, 0x4177CFB0,
+    0x91CF1CB6, 0x4121589A,
+    0x919C1780, 0x40CAB957,
+    0x91695663, 0x4073F21D,
+    0x9136D97D, 0x401D0320,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90D2ACD3, 0x3F6EAEB8,
+    0x90A0FD4E, 0x3F1749B7,
+    0x906F927B, 0x3EBFBDCC,
+    0x903E6C7A, 0x3E680B2C,
+    0x900D8B69, 0x3E10320D,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8FAC988E, 0x3D600D2B,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F4CBADB, 0x3CAF50DA,
+    0x8F1D343A, 0x3C56BA70,
+    0x8EEDF33B, 0x3BFDFECD,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8E904298, 0x3B4C18BA,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E33A9D9, 0x3A99A057,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DD829E4, 0x39E6975D,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D7DC399, 0x3932FF87,
+    0x8D50FA59, 0x38D8FE93,
+    0x8D2477D8, 0x387EDA8E,
+    0x8CF83C30, 0x382493B0,
+    0x8CCC477D, 0x37CA2A30,
+    0x8CA099D9, 0x376F9E46,
+    0x8C753361, 0x3714F02A,
+    0x8C4A142F, 0x36BA2013,
+    0x8C1F3C5C, 0x365F2E3B,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BCA6342, 0x35A8E624,
+    0x8BA0622F, 0x354D9056,
+    0x8B76A8E4, 0x34F219A7,
+    0x8B4D377C, 0x3496824F,
+    0x8B240E10, 0x343ACA87,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AD29393, 0x3382FA88,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A823A35, 0x32CAAB6F,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A3302BD, 0x3211DF03,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89E4EDEE, 0x3158970D,
+    0x89BE50C3, 0x30FBC54D,
+    0x8997FC89, 0x309ED555,
+    0x8971F15A, 0x3041C760,
+    0x894C2F4C, 0x2FE49BA6,
+    0x8926B677, 0x2F875262,
+    0x890186F1, 0x2F29EBCC,
+    0x88DCA0D3, 0x2ECC681E,
+    0x88B80431, 0x2E6EC792,
+    0x8893B124, 0x2E110A62,
+    0x886FA7C2, 0x2DB330C7,
+    0x884BE820, 0x2D553AFB,
+    0x88287255, 0x2CF72939,
+    0x88054677, 0x2C98FBBA,
+    0x87E2649B, 0x2C3AB2B9,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x879D7F40, 0x2B7DCF17,
+    0x877B7BEC, 0x2B1F34EB,
+    0x8759C2EF, 0x2AC08025,
+    0x8738545E, 0x2A61B101,
+    0x8717304E, 0x2A02C7B8,
+    0x86F656D3, 0x29A3C484,
+    0x86D5C802, 0x2944A7A2,
+    0x86B583EE, 0x28E5714A,
+    0x86958AAB, 0x288621B9,
+    0x8675DC4E, 0x2826B928,
+    0x865678EA, 0x27C737D2,
+    0x86376092, 0x27679DF4,
+    0x86189359, 0x2707EBC6,
+    0x85FA1152, 0x26A82185,
+    0x85DBDA91, 0x26483F6C,
+    0x85BDEF27, 0x25E845B5,
+    0x85A04F28, 0x2588349D,
+    0x8582FAA4, 0x25280C5D,
+    0x8565F1B0, 0x24C7CD32,
+    0x8549345C, 0x24677757,
+    0x852CC2BA, 0x24070B07,
+    0x85109CDC, 0x23A6887E,
+    0x84F4C2D3, 0x2345EFF7,
+    0x84D934B0, 0x22E541AE,
+    0x84BDF285, 0x22847DDF,
+    0x84A2FC62, 0x2223A4C5,
+    0x84885257, 0x21C2B69C,
+    0x846DF476, 0x2161B39F,
+    0x8453E2CE, 0x21009C0B,
+    0x843A1D70, 0x209F701C,
+    0x8420A46B, 0x203E300D,
+    0x840777CF, 0x1FDCDC1A,
+    0x83EE97AC, 0x1F7B7480,
+    0x83D60411, 0x1F19F97B,
+    0x83BDBD0D, 0x1EB86B46,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x838E1507, 0x1DF5163F,
+    0x8376B422, 0x1D934FE5,
+    0x835FA00E, 0x1D31774D,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x83325E97, 0x1C6D9053,
+    0x831C314E, 0x1C0B826A,
+    0x8306510F, 0x1BA96334,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82DB77E5, 0x1AE4F1D6,
+    0x82C67F13, 0x1A82A025,
+    0x82B1D381, 0x1A203E1B,
+    0x829D753A, 0x19BDCBF2,
+    0x8289644A, 0x195B49E9,
+    0x8275A0C0, 0x18F8B83C,
+    0x82622AA5, 0x18961727,
+    0x824F0208, 0x183366E8,
+    0x823C26F2, 0x17D0A7BB,
+    0x82299971, 0x176DD9DE,
+    0x8217598F, 0x170AFD8D,
+    0x82056758, 0x16A81305,
+    0x81F3C2D7, 0x16451A83,
+    0x81E26C16, 0x15E21444,
+    0x81D16320, 0x157F0086,
+    0x81C0A801, 0x151BDF85,
+    0x81B03AC1, 0x14B8B17F,
+    0x81A01B6C, 0x145576B1,
+    0x81904A0C, 0x13F22F57,
+    0x8180C6A9, 0x138EDBB0,
+    0x8171914E, 0x132B7BF9,
+    0x8162AA03, 0x12C8106E,
+    0x815410D3, 0x1264994E,
+    0x8145C5C6, 0x120116D4,
+    0x8137C8E6, 0x119D8940,
+    0x812A1A39, 0x1139F0CE,
+    0x811CB9CA, 0x10D64DBC,
+    0x810FA7A0, 0x1072A047,
+    0x8102E3C3, 0x100EE8AD,
+    0x80F66E3C, 0x0FAB272B,
+    0x80EA4712, 0x0F475BFE,
+    0x80DE6E4C, 0x0EE38765,
+    0x80D2E3F1, 0x0E7FA99D,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80BCBA9C, 0x0DB7D376,
+    0x80B21BAF, 0x0D53DB92,
+    0x80A7CB49, 0x0CEFDB75,
+    0x809DC970, 0x0C8BD35E,
+    0x8094162B, 0x0C27C389,
+    0x808AB180, 0x0BC3AC35,
+    0x80819B74, 0x0B5F8D9F,
+    0x8078D40D, 0x0AFB6805,
+    0x80705B50, 0x0A973BA5,
+    0x80683143, 0x0A3308BC,
+    0x806055EA, 0x09CECF89,
+    0x8058C94C, 0x096A9049,
+    0x80518B6B, 0x09064B3A,
+    0x804A9C4D, 0x08A2009A,
+    0x8043FBF6, 0x083DB0A7,
+    0x803DAA69, 0x07D95B9E,
+    0x8037A7AC, 0x077501BE,
+    0x8031F3C1, 0x0710A344,
+    0x802C8EAD, 0x06AC406F,
+    0x80277872, 0x0647D97C,
+    0x8022B113, 0x05E36EA9,
+    0x801E3894, 0x057F0034,
+    0x801A0EF7, 0x051A8E5C,
+    0x80163440, 0x04B6195D,
+    0x8012A86F, 0x0451A176,
+    0x800F6B88, 0x03ED26E6,
+    0x800C7D8C, 0x0388A9E9,
+    0x8009DE7D, 0x03242ABF,
+    0x80078E5E, 0x02BFA9A4,
+    0x80058D2E, 0x025B26D7,
+    0x8003DAF0, 0x01F6A296,
+    0x800277A5, 0x01921D1F,
+    0x8001634D, 0x012D96B0,
+    0x80009DE9, 0x00C90F88,
+    0x8000277A, 0x006487E3,
+    0x80000000, 0x00000000,
+    0x8000277A, 0xFF9B781D,
+    0x80009DE9, 0xFF36F078,
+    0x8001634D, 0xFED2694F,
+    0x800277A5, 0xFE6DE2E0,
+    0x8003DAF0, 0xFE095D69,
+    0x80058D2E, 0xFDA4D928,
+    0x80078E5E, 0xFD40565B,
+    0x8009DE7D, 0xFCDBD541,
+    0x800C7D8C, 0xFC775616,
+    0x800F6B88, 0xFC12D919,
+    0x8012A86F, 0xFBAE5E89,
+    0x80163440, 0xFB49E6A2,
+    0x801A0EF7, 0xFAE571A4,
+    0x801E3894, 0xFA80FFCB,
+    0x8022B113, 0xFA1C9156,
+    0x80277872, 0xF9B82683,
+    0x802C8EAD, 0xF953BF90,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x8037A7AC, 0xF88AFE41,
+    0x803DAA69, 0xF826A461,
+    0x8043FBF6, 0xF7C24F58,
+    0x804A9C4D, 0xF75DFF65,
+    0x80518B6B, 0xF6F9B4C5,
+    0x8058C94C, 0xF6956FB6,
+    0x806055EA, 0xF6313076,
+    0x80683143, 0xF5CCF743,
+    0x80705B50, 0xF568C45A,
+    0x8078D40D, 0xF50497FA,
+    0x80819B74, 0xF4A07260,
+    0x808AB180, 0xF43C53CA,
+    0x8094162B, 0xF3D83C76,
+    0x809DC970, 0xF3742CA1,
+    0x80A7CB49, 0xF310248A,
+    0x80B21BAF, 0xF2AC246D,
+    0x80BCBA9C, 0xF2482C89,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80D2E3F1, 0xF1805662,
+    0x80DE6E4C, 0xF11C789A,
+    0x80EA4712, 0xF0B8A401,
+    0x80F66E3C, 0xF054D8D4,
+    0x8102E3C3, 0xEFF11752,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x811CB9CA, 0xEF29B243,
+    0x812A1A39, 0xEEC60F31,
+    0x8137C8E6, 0xEE6276BF,
+    0x8145C5C6, 0xEDFEE92B,
+    0x815410D3, 0xED9B66B2,
+    0x8162AA03, 0xED37EF91,
+    0x8171914E, 0xECD48406,
+    0x8180C6A9, 0xEC71244F,
+    0x81904A0C, 0xEC0DD0A8,
+    0x81A01B6C, 0xEBAA894E,
+    0x81B03AC1, 0xEB474E80,
+    0x81C0A801, 0xEAE4207A,
+    0x81D16320, 0xEA80FF79,
+    0x81E26C16, 0xEA1DEBBB,
+    0x81F3C2D7, 0xE9BAE57C,
+    0x82056758, 0xE957ECFB,
+    0x8217598F, 0xE8F50273,
+    0x82299971, 0xE8922621,
+    0x823C26F2, 0xE82F5844,
+    0x824F0208, 0xE7CC9917,
+    0x82622AA5, 0xE769E8D8,
+    0x8275A0C0, 0xE70747C3,
+    0x8289644A, 0xE6A4B616,
+    0x829D753A, 0xE642340D,
+    0x82B1D381, 0xE5DFC1E4,
+    0x82C67F13, 0xE57D5FDA,
+    0x82DB77E5, 0xE51B0E2A,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x8306510F, 0xE4569CCB,
+    0x831C314E, 0xE3F47D95,
+    0x83325E97, 0xE3926FAC,
+    0x8348D8DB, 0xE330734C,
+    0x835FA00E, 0xE2CE88B2,
+    0x8376B422, 0xE26CB01A,
+    0x838E1507, 0xE20AE9C1,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83BDBD0D, 0xE14794B9,
+    0x83D60411, 0xE0E60684,
+    0x83EE97AC, 0xE0848B7F,
+    0x840777CF, 0xE02323E5,
+    0x8420A46B, 0xDFC1CFF2,
+    0x843A1D70, 0xDF608FE3,
+    0x8453E2CE, 0xDEFF63F4,
+    0x846DF476, 0xDE9E4C60,
+    0x84885257, 0xDE3D4963,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84BDF285, 0xDD7B8220,
+    0x84D934B0, 0xDD1ABE51,
+    0x84F4C2D3, 0xDCBA1008,
+    0x85109CDC, 0xDC597781,
+    0x852CC2BA, 0xDBF8F4F8,
+    0x8549345C, 0xDB9888A8,
+    0x8565F1B0, 0xDB3832CD,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85A04F28, 0xDA77CB62,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85DBDA91, 0xD9B7C093,
+    0x85FA1152, 0xD957DE7A,
+    0x86189359, 0xD8F81439,
+    0x86376092, 0xD898620C,
+    0x865678EA, 0xD838C82D,
+    0x8675DC4E, 0xD7D946D7,
+    0x86958AAB, 0xD779DE46,
+    0x86B583EE, 0xD71A8EB5,
+    0x86D5C802, 0xD6BB585D,
+    0x86F656D3, 0xD65C3B7B,
+    0x8717304E, 0xD5FD3847,
+    0x8738545E, 0xD59E4EFE,
+    0x8759C2EF, 0xD53F7FDA,
+    0x877B7BEC, 0xD4E0CB14,
+    0x879D7F40, 0xD48230E8,
+    0x87BFCCD7, 0xD423B190,
+    0x87E2649B, 0xD3C54D46,
+    0x88054677, 0xD3670445,
+    0x88287255, 0xD308D6C6,
+    0x884BE820, 0xD2AAC504,
+    0x886FA7C2, 0xD24CCF38,
+    0x8893B124, 0xD1EEF59E,
+    0x88B80431, 0xD191386D,
+    0x88DCA0D3, 0xD13397E1,
+    0x890186F1, 0xD0D61433,
+    0x8926B677, 0xD078AD9D,
+    0x894C2F4C, 0xD01B6459,
+    0x8971F15A, 0xCFBE389F,
+    0x8997FC89, 0xCF612AAA,
+    0x89BE50C3, 0xCF043AB2,
+    0x89E4EDEE, 0xCEA768F2,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A3302BD, 0xCDEE20FC,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8A823A35, 0xCD355490,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8AD29393, 0xCC7D0577,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B240E10, 0xCBC53578,
+    0x8B4D377C, 0xCB697DB0,
+    0x8B76A8E4, 0xCB0DE658,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BCA6342, 0xCA5719DB,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C1F3C5C, 0xC9A0D1C4,
+    0x8C4A142F, 0xC945DFEC,
+    0x8C753361, 0xC8EB0FD6,
+    0x8CA099D9, 0xC89061BA,
+    0x8CCC477D, 0xC835D5D0,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D2477D8, 0xC7812571,
+    0x8D50FA59, 0xC727016C,
+    0x8D7DC399, 0xC6CD0079,
+    0x8DAAD37B, 0xC67322CD,
+    0x8DD829E4, 0xC61968A2,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E33A9D9, 0xC5665FA8,
+    0x8E61D32D, 0xC50D1148,
+    0x8E904298, 0xC4B3E746,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8EEDF33B, 0xC4020132,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F4CBADB, 0xC350AF25,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8FAC988E, 0xC29FF2D4,
+    0x8FDCEF66, 0xC247CD5A,
+    0x900D8B69, 0xC1EFCDF2,
+    0x903E6C7A, 0xC197F4D3,
+    0x906F927B, 0xC1404233,
+    0x90A0FD4E, 0xC0E8B648,
+    0x90D2ACD3, 0xC0915147,
+    0x9104A0ED, 0xC03A1368,
+    0x9136D97D, 0xBFE2FCDF,
+    0x91695663, 0xBF8C0DE2,
+    0x919C1780, 0xBF3546A8,
+    0x91CF1CB6, 0xBEDEA765,
+    0x920265E4, 0xBE88304F,
+    0x9235F2EB, 0xBE31E19B,
+    0x9269C3AC, 0xBDDBBB7F,
+    0x929DD805, 0xBD85BE2F,
+    0x92D22FD8, 0xBD2FE9E1,
+    0x9306CB04, 0xBCDA3ECA,
+    0x933BA968, 0xBC84BD1E,
+    0x9370CAE4, 0xBC2F6513,
+    0x93A62F56, 0xBBDA36DC,
+    0x93DBD69F, 0xBB8532AF,
+    0x9411C09D, 0xBB3058C0,
+    0x9447ED2F, 0xBADBA943,
+    0x947E5C32, 0xBA87246C,
+    0x94B50D87, 0xBA32CA70,
+    0x94EC010B, 0xB9DE9B83,
+    0x9523369B, 0xB98A97D8,
+    0x955AAE17, 0xB936BFA3,
+    0x9592675B, 0xB8E31319,
+    0x95CA6246, 0xB88F926C,
+    0x96029EB5, 0xB83C3DD1,
+    0x963B1C85, 0xB7E9157A,
+    0x9673DB94, 0xB796199B,
+    0x96ACDBBD, 0xB7434A67,
+    0x96E61CDF, 0xB6F0A811,
+    0x971F9ED6, 0xB69E32CD,
+    0x9759617E, 0xB64BEACC,
+    0x979364B5, 0xB5F9D042,
+    0x97CDA855, 0xB5A7E362,
+    0x98082C3B, 0xB556245E,
+    0x9842F043, 0xB5049368,
+    0x987DF449, 0xB4B330B2,
+    0x98B93828, 0xB461FC70,
+    0x98F4BBBC, 0xB410F6D2,
+    0x99307EE0, 0xB3C0200C,
+    0x996C816F, 0xB36F784E,
+    0x99A8C344, 0xB31EFFCB,
+    0x99E5443A, 0xB2CEB6B5,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A5F02F5, 0xB22EB392,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9AD9BC71, 0xB18F7070,
+    0x9B1776D9, 0xB140175B,
+    0x9B556F80, 0xB0F0EEDA,
+    0x9B93A640, 0xB0A1F71C,
+    0x9BD21AF2, 0xB0533055,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C4FBD92, 0xAFB63667,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9CCE562B, 0xAF1A0293,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D4DE384, 0xAE7E965B,
+    0x9D8E0596, 0xAE312B91,
+    0x9DCE6462, 0xADE3F33E,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E4FD789, 0xAD4A1ABA,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9ED23BB9, 0xACB10E4A,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F558FB0, 0xAC18CF68,
+    0x9F979331, 0xABCCFD82,
+    0x9FD9D22A, 0xAB815F8C,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA05F01E1, 0xAAEAC02B,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA0E51D8C, 0xAA54F2B9,
+    0xA1288376, 0xAA0A5B2D,
+    0xA16C23E1, 0xA9BFF8A8,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA1F41391, 0xA92BD366,
+    0xA2386283, 0xA8E21106,
+    0xA27CEB4F, 0xA8988463,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA306A9C7, 0xA8060D08,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA3914DA7, 0xA7746EC0,
+    0xA3D6F533, 0xA72BF173,
+    0xA41CD598, 0xA6E3AAF2,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4A94042, 0xA653C302,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA5368C4B, 0xA5C4B855,
+    0xA57D8666, 0xA57D8666,
+    0xA5C4B855, 0xA5368C4B,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA653C302, 0xA4A94042,
+    0xA69B9B68, 0xA462EEAC,
+    0xA6E3AAF2, 0xA41CD598,
+    0xA72BF173, 0xA3D6F533,
+    0xA7746EC0, 0xA3914DA7,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA8060D08, 0xA306A9C7,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA8988463, 0xA27CEB4F,
+    0xA8E21106, 0xA2386283,
+    0xA92BD366, 0xA1F41391,
+    0xA975CB56, 0xA1AFFEA2,
+    0xA9BFF8A8, 0xA16C23E1,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA54F2B9, 0xA0E51D8C,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAAEAC02B, 0xA05F01E1,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAB815F8C, 0x9FD9D22A,
+    0xABCCFD82, 0x9F979331,
+    0xAC18CF68, 0x9F558FB0,
+    0xAC64D510, 0x9F13C7D0,
+    0xACB10E4A, 0x9ED23BB9,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD4A1ABA, 0x9E4FD789,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xADE3F33E, 0x9DCE6462,
+    0xAE312B91, 0x9D8E0596,
+    0xAE7E965B, 0x9D4DE384,
+    0xAECC336B, 0x9D0DFE53,
+    0xAF1A0293, 0x9CCE562B,
+    0xAF6803A1, 0x9C8EEB33,
+    0xAFB63667, 0x9C4FBD92,
+    0xB0049AB2, 0x9C10CD70,
+    0xB0533055, 0x9BD21AF2,
+    0xB0A1F71C, 0x9B93A640,
+    0xB0F0EEDA, 0x9B556F80,
+    0xB140175B, 0x9B1776D9,
+    0xB18F7070, 0x9AD9BC71,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB22EB392, 0x9A5F02F5,
+    0xB27E9D3B, 0x9A22042C,
+    0xB2CEB6B5, 0x99E5443A,
+    0xB31EFFCB, 0x99A8C344,
+    0xB36F784E, 0x996C816F,
+    0xB3C0200C, 0x99307EE0,
+    0xB410F6D2, 0x98F4BBBC,
+    0xB461FC70, 0x98B93828,
+    0xB4B330B2, 0x987DF449,
+    0xB5049368, 0x9842F043,
+    0xB556245E, 0x98082C3B,
+    0xB5A7E362, 0x97CDA855,
+    0xB5F9D042, 0x979364B5,
+    0xB64BEACC, 0x9759617E,
+    0xB69E32CD, 0x971F9ED6,
+    0xB6F0A811, 0x96E61CDF,
+    0xB7434A67, 0x96ACDBBD,
+    0xB796199B, 0x9673DB94,
+    0xB7E9157A, 0x963B1C85,
+    0xB83C3DD1, 0x96029EB5,
+    0xB88F926C, 0x95CA6246,
+    0xB8E31319, 0x9592675B,
+    0xB936BFA3, 0x955AAE17,
+    0xB98A97D8, 0x9523369B,
+    0xB9DE9B83, 0x94EC010B,
+    0xBA32CA70, 0x94B50D87,
+    0xBA87246C, 0x947E5C32,
+    0xBADBA943, 0x9447ED2F,
+    0xBB3058C0, 0x9411C09D,
+    0xBB8532AF, 0x93DBD69F,
+    0xBBDA36DC, 0x93A62F56,
+    0xBC2F6513, 0x9370CAE4,
+    0xBC84BD1E, 0x933BA968,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD2FE9E1, 0x92D22FD8,
+    0xBD85BE2F, 0x929DD805,
+    0xBDDBBB7F, 0x9269C3AC,
+    0xBE31E19B, 0x9235F2EB,
+    0xBE88304F, 0x920265E4,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF3546A8, 0x919C1780,
+    0xBF8C0DE2, 0x91695663,
+    0xBFE2FCDF, 0x9136D97D,
+    0xC03A1368, 0x9104A0ED,
+    0xC0915147, 0x90D2ACD3,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC1404233, 0x906F927B,
+    0xC197F4D3, 0x903E6C7A,
+    0xC1EFCDF2, 0x900D8B69,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC29FF2D4, 0x8FAC988E,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC350AF25, 0x8F4CBADB,
+    0xC3A9458F, 0x8F1D343A,
+    0xC4020132, 0x8EEDF33B,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC4B3E746, 0x8E904298,
+    0xC50D1148, 0x8E61D32D,
+    0xC5665FA8, 0x8E33A9D9,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC61968A2, 0x8DD829E4,
+    0xC67322CD, 0x8DAAD37B,
+    0xC6CD0079, 0x8D7DC399,
+    0xC727016C, 0x8D50FA59,
+    0xC7812571, 0x8D2477D8,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC835D5D0, 0x8CCC477D,
+    0xC89061BA, 0x8CA099D9,
+    0xC8EB0FD6, 0x8C753361,
+    0xC945DFEC, 0x8C4A142F,
+    0xC9A0D1C4, 0x8C1F3C5C,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCA5719DB, 0x8BCA6342,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCB0DE658, 0x8B76A8E4,
+    0xCB697DB0, 0x8B4D377C,
+    0xCBC53578, 0x8B240E10,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCC7D0577, 0x8AD29393,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD355490, 0x8A823A35,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCDEE20FC, 0x8A3302BD,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCEA768F2, 0x89E4EDEE,
+    0xCF043AB2, 0x89BE50C3,
+    0xCF612AAA, 0x8997FC89,
+    0xCFBE389F, 0x8971F15A,
+    0xD01B6459, 0x894C2F4C,
+    0xD078AD9D, 0x8926B677,
+    0xD0D61433, 0x890186F1,
+    0xD13397E1, 0x88DCA0D3,
+    0xD191386D, 0x88B80431,
+    0xD1EEF59E, 0x8893B124,
+    0xD24CCF38, 0x886FA7C2,
+    0xD2AAC504, 0x884BE820,
+    0xD308D6C6, 0x88287255,
+    0xD3670445, 0x88054677,
+    0xD3C54D46, 0x87E2649B,
+    0xD423B190, 0x87BFCCD7,
+    0xD48230E8, 0x879D7F40,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD53F7FDA, 0x8759C2EF,
+    0xD59E4EFE, 0x8738545E,
+    0xD5FD3847, 0x8717304E,
+    0xD65C3B7B, 0x86F656D3,
+    0xD6BB585D, 0x86D5C802,
+    0xD71A8EB5, 0x86B583EE,
+    0xD779DE46, 0x86958AAB,
+    0xD7D946D7, 0x8675DC4E,
+    0xD838C82D, 0x865678EA,
+    0xD898620C, 0x86376092,
+    0xD8F81439, 0x86189359,
+    0xD957DE7A, 0x85FA1152,
+    0xD9B7C093, 0x85DBDA91,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDA77CB62, 0x85A04F28,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB3832CD, 0x8565F1B0,
+    0xDB9888A8, 0x8549345C,
+    0xDBF8F4F8, 0x852CC2BA,
+    0xDC597781, 0x85109CDC,
+    0xDCBA1008, 0x84F4C2D3,
+    0xDD1ABE51, 0x84D934B0,
+    0xDD7B8220, 0x84BDF285,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE3D4963, 0x84885257,
+    0xDE9E4C60, 0x846DF476,
+    0xDEFF63F4, 0x8453E2CE,
+    0xDF608FE3, 0x843A1D70,
+    0xDFC1CFF2, 0x8420A46B,
+    0xE02323E5, 0x840777CF,
+    0xE0848B7F, 0x83EE97AC,
+    0xE0E60684, 0x83D60411,
+    0xE14794B9, 0x83BDBD0D,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE20AE9C1, 0x838E1507,
+    0xE26CB01A, 0x8376B422,
+    0xE2CE88B2, 0x835FA00E,
+    0xE330734C, 0x8348D8DB,
+    0xE3926FAC, 0x83325E97,
+    0xE3F47D95, 0x831C314E,
+    0xE4569CCB, 0x8306510F,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE51B0E2A, 0x82DB77E5,
+    0xE57D5FDA, 0x82C67F13,
+    0xE5DFC1E4, 0x82B1D381,
+    0xE642340D, 0x829D753A,
+    0xE6A4B616, 0x8289644A,
+    0xE70747C3, 0x8275A0C0,
+    0xE769E8D8, 0x82622AA5,
+    0xE7CC9917, 0x824F0208,
+    0xE82F5844, 0x823C26F2,
+    0xE8922621, 0x82299971,
+    0xE8F50273, 0x8217598F,
+    0xE957ECFB, 0x82056758,
+    0xE9BAE57C, 0x81F3C2D7,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEA80FF79, 0x81D16320,
+    0xEAE4207A, 0x81C0A801,
+    0xEB474E80, 0x81B03AC1,
+    0xEBAA894E, 0x81A01B6C,
+    0xEC0DD0A8, 0x81904A0C,
+    0xEC71244F, 0x8180C6A9,
+    0xECD48406, 0x8171914E,
+    0xED37EF91, 0x8162AA03,
+    0xED9B66B2, 0x815410D3,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEE6276BF, 0x8137C8E6,
+    0xEEC60F31, 0x812A1A39,
+    0xEF29B243, 0x811CB9CA,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xEFF11752, 0x8102E3C3,
+    0xF054D8D4, 0x80F66E3C,
+    0xF0B8A401, 0x80EA4712,
+    0xF11C789A, 0x80DE6E4C,
+    0xF1805662, 0x80D2E3F1,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF2482C89, 0x80BCBA9C,
+    0xF2AC246D, 0x80B21BAF,
+    0xF310248A, 0x80A7CB49,
+    0xF3742CA1, 0x809DC970,
+    0xF3D83C76, 0x8094162B,
+    0xF43C53CA, 0x808AB180,
+    0xF4A07260, 0x80819B74,
+    0xF50497FA, 0x8078D40D,
+    0xF568C45A, 0x80705B50,
+    0xF5CCF743, 0x80683143,
+    0xF6313076, 0x806055EA,
+    0xF6956FB6, 0x8058C94C,
+    0xF6F9B4C5, 0x80518B6B,
+    0xF75DFF65, 0x804A9C4D,
+    0xF7C24F58, 0x8043FBF6,
+    0xF826A461, 0x803DAA69,
+    0xF88AFE41, 0x8037A7AC,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF953BF90, 0x802C8EAD,
+    0xF9B82683, 0x80277872,
+    0xFA1C9156, 0x8022B113,
+    0xFA80FFCB, 0x801E3894,
+    0xFAE571A4, 0x801A0EF7,
+    0xFB49E6A2, 0x80163440,
+    0xFBAE5E89, 0x8012A86F,
+    0xFC12D919, 0x800F6B88,
+    0xFC775616, 0x800C7D8C,
+    0xFCDBD541, 0x8009DE7D,
+    0xFD40565B, 0x80078E5E,
+    0xFDA4D928, 0x80058D2E,
+    0xFE095D69, 0x8003DAF0,
+    0xFE6DE2E0, 0x800277A5,
+    0xFED2694F, 0x8001634D,
+    0xFF36F078, 0x80009DE9,
+    0xFF9B781D, 0x8000277A
+};
+
+/**    
+* \par   
+* Example code for Q31 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 4096	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to Q31(Fixed point 1.31):    
+*	round(twiddleCoefQ31(i) * pow(2, 31))    
+*    
+*/
+const q31_t twiddleCoef_4096_q31[6144] = 
+{
+    0x7FFFFFFF, 0x00000000,
+    0x7FFFF621, 0x003243F5,
+    0x7FFFD885, 0x006487E3,
+    0x7FFFA72C, 0x0096CBC1,
+    0x7FFF6216, 0x00C90F88,
+    0x7FFF0942, 0x00FB532F,
+    0x7FFE9CB2, 0x012D96B0,
+    0x7FFE1C64, 0x015FDA03,
+    0x7FFD885A, 0x01921D1F,
+    0x7FFCE093, 0x01C45FFE,
+    0x7FFC250F, 0x01F6A296,
+    0x7FFB55CE, 0x0228E4E1,
+    0x7FFA72D1, 0x025B26D7,
+    0x7FF97C17, 0x028D6870,
+    0x7FF871A1, 0x02BFA9A4,
+    0x7FF7536F, 0x02F1EA6B,
+    0x7FF62182, 0x03242ABF,
+    0x7FF4DBD8, 0x03566A96,
+    0x7FF38273, 0x0388A9E9,
+    0x7FF21553, 0x03BAE8B1,
+    0x7FF09477, 0x03ED26E6,
+    0x7FEEFFE1, 0x041F647F,
+    0x7FED5790, 0x0451A176,
+    0x7FEB9B85, 0x0483DDC3,
+    0x7FE9CBC0, 0x04B6195D,
+    0x7FE7E840, 0x04E8543D,
+    0x7FE5F108, 0x051A8E5C,
+    0x7FE3E616, 0x054CC7B0,
+    0x7FE1C76B, 0x057F0034,
+    0x7FDF9508, 0x05B137DF,
+    0x7FDD4EEC, 0x05E36EA9,
+    0x7FDAF518, 0x0615A48A,
+    0x7FD8878D, 0x0647D97C,
+    0x7FD6064B, 0x067A0D75,
+    0x7FD37152, 0x06AC406F,
+    0x7FD0C8A3, 0x06DE7261,
+    0x7FCE0C3E, 0x0710A344,
+    0x7FCB3C23, 0x0742D310,
+    0x7FC85853, 0x077501BE,
+    0x7FC560CF, 0x07A72F45,
+    0x7FC25596, 0x07D95B9E,
+    0x7FBF36A9, 0x080B86C1,
+    0x7FBC040A, 0x083DB0A7,
+    0x7FB8BDB7, 0x086FD947,
+    0x7FB563B2, 0x08A2009A,
+    0x7FB1F5FC, 0x08D42698,
+    0x7FAE7494, 0x09064B3A,
+    0x7FAADF7C, 0x09386E77,
+    0x7FA736B4, 0x096A9049,
+    0x7FA37A3C, 0x099CB0A7,
+    0x7F9FAA15, 0x09CECF89,
+    0x7F9BC63F, 0x0A00ECE8,
+    0x7F97CEBC, 0x0A3308BC,
+    0x7F93C38C, 0x0A6522FE,
+    0x7F8FA4AF, 0x0A973BA5,
+    0x7F8B7226, 0x0AC952AA,
+    0x7F872BF3, 0x0AFB6805,
+    0x7F82D214, 0x0B2D7BAE,
+    0x7F7E648B, 0x0B5F8D9F,
+    0x7F79E35A, 0x0B919DCE,
+    0x7F754E7F, 0x0BC3AC35,
+    0x7F70A5FD, 0x0BF5B8CB,
+    0x7F6BE9D4, 0x0C27C389,
+    0x7F671A04, 0x0C59CC67,
+    0x7F62368F, 0x0C8BD35E,
+    0x7F5D3F75, 0x0CBDD865,
+    0x7F5834B6, 0x0CEFDB75,
+    0x7F531654, 0x0D21DC87,
+    0x7F4DE450, 0x0D53DB92,
+    0x7F489EAA, 0x0D85D88F,
+    0x7F434563, 0x0DB7D376,
+    0x7F3DD87C, 0x0DE9CC3F,
+    0x7F3857F5, 0x0E1BC2E3,
+    0x7F32C3D0, 0x0E4DB75B,
+    0x7F2D1C0E, 0x0E7FA99D,
+    0x7F2760AF, 0x0EB199A3,
+    0x7F2191B4, 0x0EE38765,
+    0x7F1BAF1E, 0x0F1572DC,
+    0x7F15B8EE, 0x0F475BFE,
+    0x7F0FAF24, 0x0F7942C6,
+    0x7F0991C3, 0x0FAB272B,
+    0x7F0360CB, 0x0FDD0925,
+    0x7EFD1C3C, 0x100EE8AD,
+    0x7EF6C418, 0x1040C5BB,
+    0x7EF0585F, 0x1072A047,
+    0x7EE9D913, 0x10A4784A,
+    0x7EE34635, 0x10D64DBC,
+    0x7EDC9FC6, 0x11082096,
+    0x7ED5E5C6, 0x1139F0CE,
+    0x7ECF1837, 0x116BBE5F,
+    0x7EC8371A, 0x119D8940,
+    0x7EC1426F, 0x11CF516A,
+    0x7EBA3A39, 0x120116D4,
+    0x7EB31E77, 0x1232D978,
+    0x7EABEF2C, 0x1264994E,
+    0x7EA4AC58, 0x1296564D,
+    0x7E9D55FC, 0x12C8106E,
+    0x7E95EC19, 0x12F9C7AA,
+    0x7E8E6EB1, 0x132B7BF9,
+    0x7E86DDC5, 0x135D2D53,
+    0x7E7F3956, 0x138EDBB0,
+    0x7E778165, 0x13C0870A,
+    0x7E6FB5F3, 0x13F22F57,
+    0x7E67D702, 0x1423D492,
+    0x7E5FE493, 0x145576B1,
+    0x7E57DEA6, 0x148715AD,
+    0x7E4FC53E, 0x14B8B17F,
+    0x7E47985B, 0x14EA4A1F,
+    0x7E3F57FE, 0x151BDF85,
+    0x7E37042A, 0x154D71AA,
+    0x7E2E9CDF, 0x157F0086,
+    0x7E26221E, 0x15B08C11,
+    0x7E1D93E9, 0x15E21444,
+    0x7E14F242, 0x16139917,
+    0x7E0C3D29, 0x16451A83,
+    0x7E03749F, 0x1676987F,
+    0x7DFA98A7, 0x16A81305,
+    0x7DF1A942, 0x16D98A0C,
+    0x7DE8A670, 0x170AFD8D,
+    0x7DDF9034, 0x173C6D80,
+    0x7DD6668E, 0x176DD9DE,
+    0x7DCD2981, 0x179F429F,
+    0x7DC3D90D, 0x17D0A7BB,
+    0x7DBA7534, 0x1802092C,
+    0x7DB0FDF7, 0x183366E8,
+    0x7DA77359, 0x1864C0E9,
+    0x7D9DD55A, 0x18961727,
+    0x7D9423FB, 0x18C7699B,
+    0x7D8A5F3F, 0x18F8B83C,
+    0x7D808727, 0x192A0303,
+    0x7D769BB5, 0x195B49E9,
+    0x7D6C9CE9, 0x198C8CE6,
+    0x7D628AC5, 0x19BDCBF2,
+    0x7D58654C, 0x19EF0706,
+    0x7D4E2C7E, 0x1A203E1B,
+    0x7D43E05E, 0x1A517127,
+    0x7D3980EC, 0x1A82A025,
+    0x7D2F0E2A, 0x1AB3CB0C,
+    0x7D24881A, 0x1AE4F1D6,
+    0x7D19EEBE, 0x1B161479,
+    0x7D0F4218, 0x1B4732EF,
+    0x7D048228, 0x1B784D30,
+    0x7CF9AEF0, 0x1BA96334,
+    0x7CEEC873, 0x1BDA74F5,
+    0x7CE3CEB1, 0x1C0B826A,
+    0x7CD8C1AD, 0x1C3C8B8C,
+    0x7CCDA168, 0x1C6D9053,
+    0x7CC26DE5, 0x1C9E90B8,
+    0x7CB72724, 0x1CCF8CB3,
+    0x7CABCD27, 0x1D00843C,
+    0x7CA05FF1, 0x1D31774D,
+    0x7C94DF82, 0x1D6265DD,
+    0x7C894BDD, 0x1D934FE5,
+    0x7C7DA504, 0x1DC4355D,
+    0x7C71EAF8, 0x1DF5163F,
+    0x7C661DBB, 0x1E25F281,
+    0x7C5A3D4F, 0x1E56CA1E,
+    0x7C4E49B6, 0x1E879D0C,
+    0x7C4242F2, 0x1EB86B46,
+    0x7C362904, 0x1EE934C2,
+    0x7C29FBEE, 0x1F19F97B,
+    0x7C1DBBB2, 0x1F4AB967,
+    0x7C116853, 0x1F7B7480,
+    0x7C0501D1, 0x1FAC2ABF,
+    0x7BF88830, 0x1FDCDC1A,
+    0x7BEBFB70, 0x200D888C,
+    0x7BDF5B94, 0x203E300D,
+    0x7BD2A89E, 0x206ED295,
+    0x7BC5E28F, 0x209F701C,
+    0x7BB9096A, 0x20D0089B,
+    0x7BAC1D31, 0x21009C0B,
+    0x7B9F1DE5, 0x21312A65,
+    0x7B920B89, 0x2161B39F,
+    0x7B84E61E, 0x219237B4,
+    0x7B77ADA8, 0x21C2B69C,
+    0x7B6A6227, 0x21F3304E,
+    0x7B5D039D, 0x2223A4C5,
+    0x7B4F920E, 0x225413F8,
+    0x7B420D7A, 0x22847DDF,
+    0x7B3475E4, 0x22B4E274,
+    0x7B26CB4F, 0x22E541AE,
+    0x7B190DBB, 0x23159B87,
+    0x7B0B3D2C, 0x2345EFF7,
+    0x7AFD59A3, 0x23763EF7,
+    0x7AEF6323, 0x23A6887E,
+    0x7AE159AE, 0x23D6CC86,
+    0x7AD33D45, 0x24070B07,
+    0x7AC50DEB, 0x243743FA,
+    0x7AB6CBA3, 0x24677757,
+    0x7AA8766E, 0x2497A517,
+    0x7A9A0E4F, 0x24C7CD32,
+    0x7A8B9348, 0x24F7EFA1,
+    0x7A7D055B, 0x25280C5D,
+    0x7A6E648A, 0x2558235E,
+    0x7A5FB0D8, 0x2588349D,
+    0x7A50EA46, 0x25B84012,
+    0x7A4210D8, 0x25E845B5,
+    0x7A33248F, 0x26184581,
+    0x7A24256E, 0x26483F6C,
+    0x7A151377, 0x26783370,
+    0x7A05EEAD, 0x26A82185,
+    0x79F6B711, 0x26D809A5,
+    0x79E76CA6, 0x2707EBC6,
+    0x79D80F6F, 0x2737C7E3,
+    0x79C89F6D, 0x27679DF4,
+    0x79B91CA4, 0x27976DF1,
+    0x79A98715, 0x27C737D2,
+    0x7999DEC3, 0x27F6FB92,
+    0x798A23B1, 0x2826B928,
+    0x797A55E0, 0x2856708C,
+    0x796A7554, 0x288621B9,
+    0x795A820E, 0x28B5CCA5,
+    0x794A7C11, 0x28E5714A,
+    0x793A6360, 0x29150FA1,
+    0x792A37FE, 0x2944A7A2,
+    0x7919F9EB, 0x29743945,
+    0x7909A92C, 0x29A3C484,
+    0x78F945C3, 0x29D34958,
+    0x78E8CFB1, 0x2A02C7B8,
+    0x78D846FB, 0x2A323F9D,
+    0x78C7ABA1, 0x2A61B101,
+    0x78B6FDA8, 0x2A911BDB,
+    0x78A63D10, 0x2AC08025,
+    0x789569DE, 0x2AEFDDD8,
+    0x78848413, 0x2B1F34EB,
+    0x78738BB3, 0x2B4E8558,
+    0x786280BF, 0x2B7DCF17,
+    0x7851633B, 0x2BAD1221,
+    0x78403328, 0x2BDC4E6F,
+    0x782EF08B, 0x2C0B83F9,
+    0x781D9B64, 0x2C3AB2B9,
+    0x780C33B8, 0x2C69DAA6,
+    0x77FAB988, 0x2C98FBBA,
+    0x77E92CD8, 0x2CC815ED,
+    0x77D78DAA, 0x2CF72939,
+    0x77C5DC01, 0x2D263595,
+    0x77B417DF, 0x2D553AFB,
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+    0x777E5CC3, 0x2DE2211E,
+    0x776C4EDB, 0x2E110A62,
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+    0x7747FBCE, 0x2E6EC792,
+    0x7735B6AE, 0x2E9D9B70,
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+    0x7710F54B, 0x2EFB2D94,
+    0x76FE790E, 0x2F29EBCC,
+    0x76EBEA77, 0x2F58A2BD,
+    0x76D94988, 0x2F875262,
+    0x76C69646, 0x2FB5FAB2,
+    0x76B3D0B3, 0x2FE49BA6,
+    0x76A0F8D2, 0x30133538,
+    0x768E0EA5, 0x3041C760,
+    0x767B1230, 0x30705217,
+    0x76680376, 0x309ED555,
+    0x7654E279, 0x30CD5114,
+    0x7641AF3C, 0x30FBC54D,
+    0x762E69C3, 0x312A31F8,
+    0x761B1211, 0x3158970D,
+    0x7607A827, 0x3186F487,
+    0x75F42C0A, 0x31B54A5D,
+    0x75E09DBD, 0x31E39889,
+    0x75CCFD42, 0x3211DF03,
+    0x75B94A9C, 0x32401DC5,
+    0x75A585CF, 0x326E54C7,
+    0x7591AEDD, 0x329C8402,
+    0x757DC5CA, 0x32CAAB6F,
+    0x7569CA98, 0x32F8CB07,
+    0x7555BD4B, 0x3326E2C2,
+    0x75419DE6, 0x3354F29A,
+    0x752D6C6C, 0x3382FA88,
+    0x751928E0, 0x33B0FA84,
+    0x7504D345, 0x33DEF287,
+    0x74F06B9E, 0x340CE28A,
+    0x74DBF1EF, 0x343ACA87,
+    0x74C7663A, 0x3468AA76,
+    0x74B2C883, 0x3496824F,
+    0x749E18CD, 0x34C4520D,
+    0x7489571B, 0x34F219A7,
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+    0x745F9DD1, 0x354D9056,
+    0x744AA63E, 0x357B3F5D,
+    0x74359CBD, 0x35A8E624,
+    0x74208150, 0x35D684A5,
+    0x740B53FA, 0x36041AD9,
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+    0x73752249, 0x37424B7A,
+    0x735F6626, 0x376F9E46,
+    0x73499838, 0x379CE884,
+    0x7333B883, 0x37CA2A30,
+    0x731DC709, 0x37F76340,
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+    0x72DB8828, 0x387EDA8E,
+    0x72C54FC0, 0x38ABF0EF,
+    0x72AF05A6, 0x38D8FE93,
+    0x7298A9DC, 0x39060372,
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+    0x726BBD48, 0x395FF2C9,
+    0x72552C84, 0x398CDD32,
+    0x723E8A1F, 0x39B9BEBB,
+    0x7227D61C, 0x39E6975D,
+    0x7211107D, 0x3A136712,
+    0x71FA3948, 0x3A402DD1,
+    0x71E3507F, 0x3A6CEB95,
+    0x71CC5626, 0x3A99A057,
+    0x71B54A40, 0x3AC64C0F,
+    0x719E2CD2, 0x3AF2EEB7,
+    0x7186FDDE, 0x3B1F8847,
+    0x716FBD68, 0x3B4C18BA,
+    0x71586B73, 0x3B78A007,
+    0x71410804, 0x3BA51E29,
+    0x7129931E, 0x3BD19317,
+    0x71120CC5, 0x3BFDFECD,
+    0x70FA74FB, 0x3C2A6142,
+    0x70E2CBC6, 0x3C56BA70,
+    0x70CB1127, 0x3C830A4F,
+    0x70B34524, 0x3CAF50DA,
+    0x709B67C0, 0x3CDB8E09,
+    0x708378FE, 0x3D07C1D5,
+    0x706B78E3, 0x3D33EC39,
+    0x70536771, 0x3D600D2B,
+    0x703B44AC, 0x3D8C24A7,
+    0x70231099, 0x3DB832A5,
+    0x700ACB3B, 0x3DE4371F,
+    0x6FF27496, 0x3E10320D,
+    0x6FDA0CAD, 0x3E3C2369,
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+    0x6F77C0B3, 0x3EEB889C,
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+    0x6F463383, 0x3F430118,
+    0x6F2D532C, 0x3F6EAEB8,
+    0x6F1461AF, 0x3F9A528F,
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+    0x6D48047E, 0x42A5311A,
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+    0x6CF934FB, 0x4325C135,
+    0x6CDECE2E, 0x4350873C,
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+    0x6CA9CE3A, 0x43A5F41E,
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+    0x6B13FEF5, 0x4621647C,
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+    0x571DEEF9, 0x5DC79D7C,
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+    0x561ADCB8, 0x5EB5B3A1,
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+    0x556040E2, 0x5F5E0DB3,
+    0x553AC6ED, 0x5F7F8D46,
+    0x55153FD4, 0x5FA0FE1E,
+    0x54EFAB9C, 0x5FC26038,
+    0x54CA0A4A, 0x5FE3B38D,
+    0x54A45BE5, 0x6004F818,
+    0x547EA073, 0x60262DD5,
+    0x5458D7F9, 0x604754BE,
+    0x5433027D, 0x60686CCE,
+    0x540D2005, 0x60897600,
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+    0x521C0CC1, 0x62319B9D,
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+    0x518169A4, 0x62B21C7B,
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+    0x5133CC94, 0x62F201AC,
+    0x510CEB40, 0x6311DD63,
+    0x50E5FD6C, 0x6331A9D4,
+    0x50BF031F, 0x635166F8,
+    0x5097FC5E, 0x637114CC,
+    0x5070E92F, 0x6390B34A,
+    0x5049C999, 0x63B0426D,
+    0x50229DA0, 0x63CFC230,
+    0x4FFB654D, 0x63EF328F,
+    0x4FD420A3, 0x640E9385,
+    0x4FACCFAB, 0x642DE50D,
+    0x4F857268, 0x644D2722,
+    0x4F5E08E3, 0x646C59BF,
+    0x4F369320, 0x648B7CDF,
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+    0x4EE782FA, 0x64C99498,
+    0x4EBFE8A4, 0x64E88926,
+    0x4E984229, 0x65076E24,
+    0x4E708F8F, 0x6526438E,
+    0x4E48D0DC, 0x6545095F,
+    0x4E210617, 0x6563BF92,
+    0x4DF92F45, 0x65826622,
+    0x4DD14C6E, 0x65A0FD0B,
+    0x4DA95D96, 0x65BF8447,
+    0x4D8162C4, 0x65DDFBD3,
+    0x4D595BFE, 0x65FC63A9,
+    0x4D31494B, 0x661ABBC5,
+    0x4D092AB0, 0x66390422,
+    0x4CE10034, 0x66573CBB,
+    0x4CB8C9DD, 0x6675658C,
+    0x4C9087B1, 0x66937E90,
+    0x4C6839B6, 0x66B187C3,
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+    0x4C177A6E, 0x66ED6AA1,
+    0x4BEF092D, 0x670B4443,
+    0x4BC68C36, 0x67290E02,
+    0x4B9E038F, 0x6746C7D7,
+    0x4B756F3F, 0x676471C0,
+    0x4B4CCF4D, 0x67820BB6,
+    0x4B2423BD, 0x679F95B7,
+    0x4AFB6C97, 0x67BD0FBC,
+    0x4AD2A9E1, 0x67DA79C2,
+    0x4AA9DBA1, 0x67F7D3C4,
+    0x4A8101DE, 0x68151DBE,
+    0x4A581C9D, 0x683257AA,
+    0x4A2F2BE5, 0x684F8186,
+    0x4A062FBD, 0x686C9B4B,
+    0x49DD282A, 0x6889A4F5,
+    0x49B41533, 0x68A69E81,
+    0x498AF6DE, 0x68C387E9,
+    0x4961CD32, 0x68E06129,
+    0x49389836, 0x68FD2A3D,
+    0x490F57EE, 0x6919E320,
+    0x48E60C62, 0x69368BCE,
+    0x48BCB598, 0x69532442,
+    0x48935397, 0x696FAC78,
+    0x4869E664, 0x698C246C,
+    0x48406E07, 0x69A88C18,
+    0x4816EA85, 0x69C4E37A,
+    0x47ED5BE6, 0x69E12A8C,
+    0x47C3C22E, 0x69FD614A,
+    0x479A1D66, 0x6A1987B0,
+    0x47706D93, 0x6A359DB9,
+    0x4746B2BC, 0x6A51A361,
+    0x471CECE6, 0x6A6D98A4,
+    0x46F31C1A, 0x6A897D7D,
+    0x46C9405C, 0x6AA551E8,
+    0x469F59B4, 0x6AC115E1,
+    0x46756827, 0x6ADCC964,
+    0x464B6BBD, 0x6AF86C6C,
+    0x4621647C, 0x6B13FEF5,
+    0x45F7526B, 0x6B2F80FA,
+    0x45CD358F, 0x6B4AF278,
+    0x45A30DF0, 0x6B66536A,
+    0x4578DB93, 0x6B81A3CD,
+    0x454E9E80, 0x6B9CE39B,
+    0x452456BC, 0x6BB812D0,
+    0x44FA044F, 0x6BD3316A,
+    0x44CFA73F, 0x6BEE3F62,
+    0x44A53F93, 0x6C093CB6,
+    0x447ACD50, 0x6C242960,
+    0x4450507E, 0x6C3F055D,
+    0x4425C923, 0x6C59D0A9,
+    0x43FB3745, 0x6C748B3F,
+    0x43D09AEC, 0x6C8F351C,
+    0x43A5F41E, 0x6CA9CE3A,
+    0x437B42E1, 0x6CC45697,
+    0x4350873C, 0x6CDECE2E,
+    0x4325C135, 0x6CF934FB,
+    0x42FAF0D4, 0x6D138AFA,
+    0x42D0161E, 0x6D2DD027,
+    0x42A5311A, 0x6D48047E,
+    0x427A41D0, 0x6D6227FA,
+    0x424F4845, 0x6D7C3A98,
+    0x42244480, 0x6D963C54,
+    0x41F93688, 0x6DB02D29,
+    0x41CE1E64, 0x6DCA0D14,
+    0x41A2FC1A, 0x6DE3DC11,
+    0x4177CFB0, 0x6DFD9A1B,
+    0x414C992E, 0x6E17472F,
+    0x4121589A, 0x6E30E349,
+    0x40F60DFB, 0x6E4A6E65,
+    0x40CAB957, 0x6E63E87F,
+    0x409F5AB6, 0x6E7D5193,
+    0x4073F21D, 0x6E96A99C,
+    0x40487F93, 0x6EAFF098,
+    0x401D0320, 0x6EC92682,
+    0x3FF17CCA, 0x6EE24B57,
+    0x3FC5EC97, 0x6EFB5F12,
+    0x3F9A528F, 0x6F1461AF,
+    0x3F6EAEB8, 0x6F2D532C,
+    0x3F430118, 0x6F463383,
+    0x3F1749B7, 0x6F5F02B1,
+    0x3EEB889C, 0x6F77C0B3,
+    0x3EBFBDCC, 0x6F906D84,
+    0x3E93E94F, 0x6FA90920,
+    0x3E680B2C, 0x6FC19385,
+    0x3E3C2369, 0x6FDA0CAD,
+    0x3E10320D, 0x6FF27496,
+    0x3DE4371F, 0x700ACB3B,
+    0x3DB832A5, 0x70231099,
+    0x3D8C24A7, 0x703B44AC,
+    0x3D600D2B, 0x70536771,
+    0x3D33EC39, 0x706B78E3,
+    0x3D07C1D5, 0x708378FE,
+    0x3CDB8E09, 0x709B67C0,
+    0x3CAF50DA, 0x70B34524,
+    0x3C830A4F, 0x70CB1127,
+    0x3C56BA70, 0x70E2CBC6,
+    0x3C2A6142, 0x70FA74FB,
+    0x3BFDFECD, 0x71120CC5,
+    0x3BD19317, 0x7129931E,
+    0x3BA51E29, 0x71410804,
+    0x3B78A007, 0x71586B73,
+    0x3B4C18BA, 0x716FBD68,
+    0x3B1F8847, 0x7186FDDE,
+    0x3AF2EEB7, 0x719E2CD2,
+    0x3AC64C0F, 0x71B54A40,
+    0x3A99A057, 0x71CC5626,
+    0x3A6CEB95, 0x71E3507F,
+    0x3A402DD1, 0x71FA3948,
+    0x3A136712, 0x7211107D,
+    0x39E6975D, 0x7227D61C,
+    0x39B9BEBB, 0x723E8A1F,
+    0x398CDD32, 0x72552C84,
+    0x395FF2C9, 0x726BBD48,
+    0x3932FF87, 0x72823C66,
+    0x39060372, 0x7298A9DC,
+    0x38D8FE93, 0x72AF05A6,
+    0x38ABF0EF, 0x72C54FC0,
+    0x387EDA8E, 0x72DB8828,
+    0x3851BB76, 0x72F1AED8,
+    0x382493B0, 0x7307C3D0,
+    0x37F76340, 0x731DC709,
+    0x37CA2A30, 0x7333B883,
+    0x379CE884, 0x73499838,
+    0x376F9E46, 0x735F6626,
+    0x37424B7A, 0x73752249,
+    0x3714F02A, 0x738ACC9E,
+    0x36E78C5A, 0x73A06522,
+    0x36BA2013, 0x73B5EBD0,
+    0x368CAB5C, 0x73CB60A7,
+    0x365F2E3B, 0x73E0C3A3,
+    0x3631A8B7, 0x73F614C0,
+    0x36041AD9, 0x740B53FA,
+    0x35D684A5, 0x74208150,
+    0x35A8E624, 0x74359CBD,
+    0x357B3F5D, 0x744AA63E,
+    0x354D9056, 0x745F9DD1,
+    0x351FD917, 0x74748371,
+    0x34F219A7, 0x7489571B,
+    0x34C4520D, 0x749E18CD,
+    0x3496824F, 0x74B2C883,
+    0x3468AA76, 0x74C7663A,
+    0x343ACA87, 0x74DBF1EF,
+    0x340CE28A, 0x74F06B9E,
+    0x33DEF287, 0x7504D345,
+    0x33B0FA84, 0x751928E0,
+    0x3382FA88, 0x752D6C6C,
+    0x3354F29A, 0x75419DE6,
+    0x3326E2C2, 0x7555BD4B,
+    0x32F8CB07, 0x7569CA98,
+    0x32CAAB6F, 0x757DC5CA,
+    0x329C8402, 0x7591AEDD,
+    0x326E54C7, 0x75A585CF,
+    0x32401DC5, 0x75B94A9C,
+    0x3211DF03, 0x75CCFD42,
+    0x31E39889, 0x75E09DBD,
+    0x31B54A5D, 0x75F42C0A,
+    0x3186F487, 0x7607A827,
+    0x3158970D, 0x761B1211,
+    0x312A31F8, 0x762E69C3,
+    0x30FBC54D, 0x7641AF3C,
+    0x30CD5114, 0x7654E279,
+    0x309ED555, 0x76680376,
+    0x30705217, 0x767B1230,
+    0x3041C760, 0x768E0EA5,
+    0x30133538, 0x76A0F8D2,
+    0x2FE49BA6, 0x76B3D0B3,
+    0x2FB5FAB2, 0x76C69646,
+    0x2F875262, 0x76D94988,
+    0x2F58A2BD, 0x76EBEA77,
+    0x2F29EBCC, 0x76FE790E,
+    0x2EFB2D94, 0x7710F54B,
+    0x2ECC681E, 0x77235F2D,
+    0x2E9D9B70, 0x7735B6AE,
+    0x2E6EC792, 0x7747FBCE,
+    0x2E3FEC8B, 0x775A2E88,
+    0x2E110A62, 0x776C4EDB,
+    0x2DE2211E, 0x777E5CC3,
+    0x2DB330C7, 0x7790583D,
+    0x2D843963, 0x77A24148,
+    0x2D553AFB, 0x77B417DF,
+    0x2D263595, 0x77C5DC01,
+    0x2CF72939, 0x77D78DAA,
+    0x2CC815ED, 0x77E92CD8,
+    0x2C98FBBA, 0x77FAB988,
+    0x2C69DAA6, 0x780C33B8,
+    0x2C3AB2B9, 0x781D9B64,
+    0x2C0B83F9, 0x782EF08B,
+    0x2BDC4E6F, 0x78403328,
+    0x2BAD1221, 0x7851633B,
+    0x2B7DCF17, 0x786280BF,
+    0x2B4E8558, 0x78738BB3,
+    0x2B1F34EB, 0x78848413,
+    0x2AEFDDD8, 0x789569DE,
+    0x2AC08025, 0x78A63D10,
+    0x2A911BDB, 0x78B6FDA8,
+    0x2A61B101, 0x78C7ABA1,
+    0x2A323F9D, 0x78D846FB,
+    0x2A02C7B8, 0x78E8CFB1,
+    0x29D34958, 0x78F945C3,
+    0x29A3C484, 0x7909A92C,
+    0x29743945, 0x7919F9EB,
+    0x2944A7A2, 0x792A37FE,
+    0x29150FA1, 0x793A6360,
+    0x28E5714A, 0x794A7C11,
+    0x28B5CCA5, 0x795A820E,
+    0x288621B9, 0x796A7554,
+    0x2856708C, 0x797A55E0,
+    0x2826B928, 0x798A23B1,
+    0x27F6FB92, 0x7999DEC3,
+    0x27C737D2, 0x79A98715,
+    0x27976DF1, 0x79B91CA4,
+    0x27679DF4, 0x79C89F6D,
+    0x2737C7E3, 0x79D80F6F,
+    0x2707EBC6, 0x79E76CA6,
+    0x26D809A5, 0x79F6B711,
+    0x26A82185, 0x7A05EEAD,
+    0x26783370, 0x7A151377,
+    0x26483F6C, 0x7A24256E,
+    0x26184581, 0x7A33248F,
+    0x25E845B5, 0x7A4210D8,
+    0x25B84012, 0x7A50EA46,
+    0x2588349D, 0x7A5FB0D8,
+    0x2558235E, 0x7A6E648A,
+    0x25280C5D, 0x7A7D055B,
+    0x24F7EFA1, 0x7A8B9348,
+    0x24C7CD32, 0x7A9A0E4F,
+    0x2497A517, 0x7AA8766E,
+    0x24677757, 0x7AB6CBA3,
+    0x243743FA, 0x7AC50DEB,
+    0x24070B07, 0x7AD33D45,
+    0x23D6CC86, 0x7AE159AE,
+    0x23A6887E, 0x7AEF6323,
+    0x23763EF7, 0x7AFD59A3,
+    0x2345EFF7, 0x7B0B3D2C,
+    0x23159B87, 0x7B190DBB,
+    0x22E541AE, 0x7B26CB4F,
+    0x22B4E274, 0x7B3475E4,
+    0x22847DDF, 0x7B420D7A,
+    0x225413F8, 0x7B4F920E,
+    0x2223A4C5, 0x7B5D039D,
+    0x21F3304E, 0x7B6A6227,
+    0x21C2B69C, 0x7B77ADA8,
+    0x219237B4, 0x7B84E61E,
+    0x2161B39F, 0x7B920B89,
+    0x21312A65, 0x7B9F1DE5,
+    0x21009C0B, 0x7BAC1D31,
+    0x20D0089B, 0x7BB9096A,
+    0x209F701C, 0x7BC5E28F,
+    0x206ED295, 0x7BD2A89E,
+    0x203E300D, 0x7BDF5B94,
+    0x200D888C, 0x7BEBFB70,
+    0x1FDCDC1A, 0x7BF88830,
+    0x1FAC2ABF, 0x7C0501D1,
+    0x1F7B7480, 0x7C116853,
+    0x1F4AB967, 0x7C1DBBB2,
+    0x1F19F97B, 0x7C29FBEE,
+    0x1EE934C2, 0x7C362904,
+    0x1EB86B46, 0x7C4242F2,
+    0x1E879D0C, 0x7C4E49B6,
+    0x1E56CA1E, 0x7C5A3D4F,
+    0x1E25F281, 0x7C661DBB,
+    0x1DF5163F, 0x7C71EAF8,
+    0x1DC4355D, 0x7C7DA504,
+    0x1D934FE5, 0x7C894BDD,
+    0x1D6265DD, 0x7C94DF82,
+    0x1D31774D, 0x7CA05FF1,
+    0x1D00843C, 0x7CABCD27,
+    0x1CCF8CB3, 0x7CB72724,
+    0x1C9E90B8, 0x7CC26DE5,
+    0x1C6D9053, 0x7CCDA168,
+    0x1C3C8B8C, 0x7CD8C1AD,
+    0x1C0B826A, 0x7CE3CEB1,
+    0x1BDA74F5, 0x7CEEC873,
+    0x1BA96334, 0x7CF9AEF0,
+    0x1B784D30, 0x7D048228,
+    0x1B4732EF, 0x7D0F4218,
+    0x1B161479, 0x7D19EEBE,
+    0x1AE4F1D6, 0x7D24881A,
+    0x1AB3CB0C, 0x7D2F0E2A,
+    0x1A82A025, 0x7D3980EC,
+    0x1A517127, 0x7D43E05E,
+    0x1A203E1B, 0x7D4E2C7E,
+    0x19EF0706, 0x7D58654C,
+    0x19BDCBF2, 0x7D628AC5,
+    0x198C8CE6, 0x7D6C9CE9,
+    0x195B49E9, 0x7D769BB5,
+    0x192A0303, 0x7D808727,
+    0x18F8B83C, 0x7D8A5F3F,
+    0x18C7699B, 0x7D9423FB,
+    0x18961727, 0x7D9DD55A,
+    0x1864C0E9, 0x7DA77359,
+    0x183366E8, 0x7DB0FDF7,
+    0x1802092C, 0x7DBA7534,
+    0x17D0A7BB, 0x7DC3D90D,
+    0x179F429F, 0x7DCD2981,
+    0x176DD9DE, 0x7DD6668E,
+    0x173C6D80, 0x7DDF9034,
+    0x170AFD8D, 0x7DE8A670,
+    0x16D98A0C, 0x7DF1A942,
+    0x16A81305, 0x7DFA98A7,
+    0x1676987F, 0x7E03749F,
+    0x16451A83, 0x7E0C3D29,
+    0x16139917, 0x7E14F242,
+    0x15E21444, 0x7E1D93E9,
+    0x15B08C11, 0x7E26221E,
+    0x157F0086, 0x7E2E9CDF,
+    0x154D71AA, 0x7E37042A,
+    0x151BDF85, 0x7E3F57FE,
+    0x14EA4A1F, 0x7E47985B,
+    0x14B8B17F, 0x7E4FC53E,
+    0x148715AD, 0x7E57DEA6,
+    0x145576B1, 0x7E5FE493,
+    0x1423D492, 0x7E67D702,
+    0x13F22F57, 0x7E6FB5F3,
+    0x13C0870A, 0x7E778165,
+    0x138EDBB0, 0x7E7F3956,
+    0x135D2D53, 0x7E86DDC5,
+    0x132B7BF9, 0x7E8E6EB1,
+    0x12F9C7AA, 0x7E95EC19,
+    0x12C8106E, 0x7E9D55FC,
+    0x1296564D, 0x7EA4AC58,
+    0x1264994E, 0x7EABEF2C,
+    0x1232D978, 0x7EB31E77,
+    0x120116D4, 0x7EBA3A39,
+    0x11CF516A, 0x7EC1426F,
+    0x119D8940, 0x7EC8371A,
+    0x116BBE5F, 0x7ECF1837,
+    0x1139F0CE, 0x7ED5E5C6,
+    0x11082096, 0x7EDC9FC6,
+    0x10D64DBC, 0x7EE34635,
+    0x10A4784A, 0x7EE9D913,
+    0x1072A047, 0x7EF0585F,
+    0x1040C5BB, 0x7EF6C418,
+    0x100EE8AD, 0x7EFD1C3C,
+    0x0FDD0925, 0x7F0360CB,
+    0x0FAB272B, 0x7F0991C3,
+    0x0F7942C6, 0x7F0FAF24,
+    0x0F475BFE, 0x7F15B8EE,
+    0x0F1572DC, 0x7F1BAF1E,
+    0x0EE38765, 0x7F2191B4,
+    0x0EB199A3, 0x7F2760AF,
+    0x0E7FA99D, 0x7F2D1C0E,
+    0x0E4DB75B, 0x7F32C3D0,
+    0x0E1BC2E3, 0x7F3857F5,
+    0x0DE9CC3F, 0x7F3DD87C,
+    0x0DB7D376, 0x7F434563,
+    0x0D85D88F, 0x7F489EAA,
+    0x0D53DB92, 0x7F4DE450,
+    0x0D21DC87, 0x7F531654,
+    0x0CEFDB75, 0x7F5834B6,
+    0x0CBDD865, 0x7F5D3F75,
+    0x0C8BD35E, 0x7F62368F,
+    0x0C59CC67, 0x7F671A04,
+    0x0C27C389, 0x7F6BE9D4,
+    0x0BF5B8CB, 0x7F70A5FD,
+    0x0BC3AC35, 0x7F754E7F,
+    0x0B919DCE, 0x7F79E35A,
+    0x0B5F8D9F, 0x7F7E648B,
+    0x0B2D7BAE, 0x7F82D214,
+    0x0AFB6805, 0x7F872BF3,
+    0x0AC952AA, 0x7F8B7226,
+    0x0A973BA5, 0x7F8FA4AF,
+    0x0A6522FE, 0x7F93C38C,
+    0x0A3308BC, 0x7F97CEBC,
+    0x0A00ECE8, 0x7F9BC63F,
+    0x09CECF89, 0x7F9FAA15,
+    0x099CB0A7, 0x7FA37A3C,
+    0x096A9049, 0x7FA736B4,
+    0x09386E77, 0x7FAADF7C,
+    0x09064B3A, 0x7FAE7494,
+    0x08D42698, 0x7FB1F5FC,
+    0x08A2009A, 0x7FB563B2,
+    0x086FD947, 0x7FB8BDB7,
+    0x083DB0A7, 0x7FBC040A,
+    0x080B86C1, 0x7FBF36A9,
+    0x07D95B9E, 0x7FC25596,
+    0x07A72F45, 0x7FC560CF,
+    0x077501BE, 0x7FC85853,
+    0x0742D310, 0x7FCB3C23,
+    0x0710A344, 0x7FCE0C3E,
+    0x06DE7261, 0x7FD0C8A3,
+    0x06AC406F, 0x7FD37152,
+    0x067A0D75, 0x7FD6064B,
+    0x0647D97C, 0x7FD8878D,
+    0x0615A48A, 0x7FDAF518,
+    0x05E36EA9, 0x7FDD4EEC,
+    0x05B137DF, 0x7FDF9508,
+    0x057F0034, 0x7FE1C76B,
+    0x054CC7B0, 0x7FE3E616,
+    0x051A8E5C, 0x7FE5F108,
+    0x04E8543D, 0x7FE7E840,
+    0x04B6195D, 0x7FE9CBC0,
+    0x0483DDC3, 0x7FEB9B85,
+    0x0451A176, 0x7FED5790,
+    0x041F647F, 0x7FEEFFE1,
+    0x03ED26E6, 0x7FF09477,
+    0x03BAE8B1, 0x7FF21553,
+    0x0388A9E9, 0x7FF38273,
+    0x03566A96, 0x7FF4DBD8,
+    0x03242ABF, 0x7FF62182,
+    0x02F1EA6B, 0x7FF7536F,
+    0x02BFA9A4, 0x7FF871A1,
+    0x028D6870, 0x7FF97C17,
+    0x025B26D7, 0x7FFA72D1,
+    0x0228E4E1, 0x7FFB55CE,
+    0x01F6A296, 0x7FFC250F,
+    0x01C45FFE, 0x7FFCE093,
+    0x01921D1F, 0x7FFD885A,
+    0x015FDA03, 0x7FFE1C64,
+    0x012D96B0, 0x7FFE9CB2,
+    0x00FB532F, 0x7FFF0942,
+    0x00C90F88, 0x7FFF6216,
+    0x0096CBC1, 0x7FFFA72C,
+    0x006487E3, 0x7FFFD885,
+    0x003243F5, 0x7FFFF621,
+    0x00000000, 0x7FFFFFFF,
+    0xFFCDBC0A, 0x7FFFF621,
+    0xFF9B781D, 0x7FFFD885,
+    0xFF69343E, 0x7FFFA72C,
+    0xFF36F078, 0x7FFF6216,
+    0xFF04ACD0, 0x7FFF0942,
+    0xFED2694F, 0x7FFE9CB2,
+    0xFEA025FC, 0x7FFE1C64,
+    0xFE6DE2E0, 0x7FFD885A,
+    0xFE3BA001, 0x7FFCE093,
+    0xFE095D69, 0x7FFC250F,
+    0xFDD71B1E, 0x7FFB55CE,
+    0xFDA4D928, 0x7FFA72D1,
+    0xFD72978F, 0x7FF97C17,
+    0xFD40565B, 0x7FF871A1,
+    0xFD0E1594, 0x7FF7536F,
+    0xFCDBD541, 0x7FF62182,
+    0xFCA99569, 0x7FF4DBD8,
+    0xFC775616, 0x7FF38273,
+    0xFC45174E, 0x7FF21553,
+    0xFC12D919, 0x7FF09477,
+    0xFBE09B80, 0x7FEEFFE1,
+    0xFBAE5E89, 0x7FED5790,
+    0xFB7C223C, 0x7FEB9B85,
+    0xFB49E6A2, 0x7FE9CBC0,
+    0xFB17ABC2, 0x7FE7E840,
+    0xFAE571A4, 0x7FE5F108,
+    0xFAB3384F, 0x7FE3E616,
+    0xFA80FFCB, 0x7FE1C76B,
+    0xFA4EC820, 0x7FDF9508,
+    0xFA1C9156, 0x7FDD4EEC,
+    0xF9EA5B75, 0x7FDAF518,
+    0xF9B82683, 0x7FD8878D,
+    0xF985F28A, 0x7FD6064B,
+    0xF953BF90, 0x7FD37152,
+    0xF9218D9E, 0x7FD0C8A3,
+    0xF8EF5CBB, 0x7FCE0C3E,
+    0xF8BD2CEF, 0x7FCB3C23,
+    0xF88AFE41, 0x7FC85853,
+    0xF858D0BA, 0x7FC560CF,
+    0xF826A461, 0x7FC25596,
+    0xF7F4793E, 0x7FBF36A9,
+    0xF7C24F58, 0x7FBC040A,
+    0xF79026B8, 0x7FB8BDB7,
+    0xF75DFF65, 0x7FB563B2,
+    0xF72BD967, 0x7FB1F5FC,
+    0xF6F9B4C5, 0x7FAE7494,
+    0xF6C79188, 0x7FAADF7C,
+    0xF6956FB6, 0x7FA736B4,
+    0xF6634F58, 0x7FA37A3C,
+    0xF6313076, 0x7F9FAA15,
+    0xF5FF1317, 0x7F9BC63F,
+    0xF5CCF743, 0x7F97CEBC,
+    0xF59ADD01, 0x7F93C38C,
+    0xF568C45A, 0x7F8FA4AF,
+    0xF536AD55, 0x7F8B7226,
+    0xF50497FA, 0x7F872BF3,
+    0xF4D28451, 0x7F82D214,
+    0xF4A07260, 0x7F7E648B,
+    0xF46E6231, 0x7F79E35A,
+    0xF43C53CA, 0x7F754E7F,
+    0xF40A4734, 0x7F70A5FD,
+    0xF3D83C76, 0x7F6BE9D4,
+    0xF3A63398, 0x7F671A04,
+    0xF3742CA1, 0x7F62368F,
+    0xF342279A, 0x7F5D3F75,
+    0xF310248A, 0x7F5834B6,
+    0xF2DE2378, 0x7F531654,
+    0xF2AC246D, 0x7F4DE450,
+    0xF27A2770, 0x7F489EAA,
+    0xF2482C89, 0x7F434563,
+    0xF21633C0, 0x7F3DD87C,
+    0xF1E43D1C, 0x7F3857F5,
+    0xF1B248A5, 0x7F32C3D0,
+    0xF1805662, 0x7F2D1C0E,
+    0xF14E665C, 0x7F2760AF,
+    0xF11C789A, 0x7F2191B4,
+    0xF0EA8D23, 0x7F1BAF1E,
+    0xF0B8A401, 0x7F15B8EE,
+    0xF086BD39, 0x7F0FAF24,
+    0xF054D8D4, 0x7F0991C3,
+    0xF022F6DA, 0x7F0360CB,
+    0xEFF11752, 0x7EFD1C3C,
+    0xEFBF3A44, 0x7EF6C418,
+    0xEF8D5FB8, 0x7EF0585F,
+    0xEF5B87B5, 0x7EE9D913,
+    0xEF29B243, 0x7EE34635,
+    0xEEF7DF6A, 0x7EDC9FC6,
+    0xEEC60F31, 0x7ED5E5C6,
+    0xEE9441A0, 0x7ECF1837,
+    0xEE6276BF, 0x7EC8371A,
+    0xEE30AE95, 0x7EC1426F,
+    0xEDFEE92B, 0x7EBA3A39,
+    0xEDCD2687, 0x7EB31E77,
+    0xED9B66B2, 0x7EABEF2C,
+    0xED69A9B2, 0x7EA4AC58,
+    0xED37EF91, 0x7E9D55FC,
+    0xED063855, 0x7E95EC19,
+    0xECD48406, 0x7E8E6EB1,
+    0xECA2D2AC, 0x7E86DDC5,
+    0xEC71244F, 0x7E7F3956,
+    0xEC3F78F5, 0x7E778165,
+    0xEC0DD0A8, 0x7E6FB5F3,
+    0xEBDC2B6D, 0x7E67D702,
+    0xEBAA894E, 0x7E5FE493,
+    0xEB78EA52, 0x7E57DEA6,
+    0xEB474E80, 0x7E4FC53E,
+    0xEB15B5E0, 0x7E47985B,
+    0xEAE4207A, 0x7E3F57FE,
+    0xEAB28E55, 0x7E37042A,
+    0xEA80FF79, 0x7E2E9CDF,
+    0xEA4F73EE, 0x7E26221E,
+    0xEA1DEBBB, 0x7E1D93E9,
+    0xE9EC66E8, 0x7E14F242,
+    0xE9BAE57C, 0x7E0C3D29,
+    0xE9896780, 0x7E03749F,
+    0xE957ECFB, 0x7DFA98A7,
+    0xE92675F4, 0x7DF1A942,
+    0xE8F50273, 0x7DE8A670,
+    0xE8C3927F, 0x7DDF9034,
+    0xE8922621, 0x7DD6668E,
+    0xE860BD60, 0x7DCD2981,
+    0xE82F5844, 0x7DC3D90D,
+    0xE7FDF6D3, 0x7DBA7534,
+    0xE7CC9917, 0x7DB0FDF7,
+    0xE79B3F16, 0x7DA77359,
+    0xE769E8D8, 0x7D9DD55A,
+    0xE7389664, 0x7D9423FB,
+    0xE70747C3, 0x7D8A5F3F,
+    0xE6D5FCFC, 0x7D808727,
+    0xE6A4B616, 0x7D769BB5,
+    0xE6737319, 0x7D6C9CE9,
+    0xE642340D, 0x7D628AC5,
+    0xE610F8F9, 0x7D58654C,
+    0xE5DFC1E4, 0x7D4E2C7E,
+    0xE5AE8ED8, 0x7D43E05E,
+    0xE57D5FDA, 0x7D3980EC,
+    0xE54C34F3, 0x7D2F0E2A,
+    0xE51B0E2A, 0x7D24881A,
+    0xE4E9EB86, 0x7D19EEBE,
+    0xE4B8CD10, 0x7D0F4218,
+    0xE487B2CF, 0x7D048228,
+    0xE4569CCB, 0x7CF9AEF0,
+    0xE4258B0A, 0x7CEEC873,
+    0xE3F47D95, 0x7CE3CEB1,
+    0xE3C37473, 0x7CD8C1AD,
+    0xE3926FAC, 0x7CCDA168,
+    0xE3616F47, 0x7CC26DE5,
+    0xE330734C, 0x7CB72724,
+    0xE2FF7BC3, 0x7CABCD27,
+    0xE2CE88B2, 0x7CA05FF1,
+    0xE29D9A22, 0x7C94DF82,
+    0xE26CB01A, 0x7C894BDD,
+    0xE23BCAA2, 0x7C7DA504,
+    0xE20AE9C1, 0x7C71EAF8,
+    0xE1DA0D7E, 0x7C661DBB,
+    0xE1A935E1, 0x7C5A3D4F,
+    0xE17862F3, 0x7C4E49B6,
+    0xE14794B9, 0x7C4242F2,
+    0xE116CB3D, 0x7C362904,
+    0xE0E60684, 0x7C29FBEE,
+    0xE0B54698, 0x7C1DBBB2,
+    0xE0848B7F, 0x7C116853,
+    0xE053D541, 0x7C0501D1,
+    0xE02323E5, 0x7BF88830,
+    0xDFF27773, 0x7BEBFB70,
+    0xDFC1CFF2, 0x7BDF5B94,
+    0xDF912D6A, 0x7BD2A89E,
+    0xDF608FE3, 0x7BC5E28F,
+    0xDF2FF764, 0x7BB9096A,
+    0xDEFF63F4, 0x7BAC1D31,
+    0xDECED59B, 0x7B9F1DE5,
+    0xDE9E4C60, 0x7B920B89,
+    0xDE6DC84B, 0x7B84E61E,
+    0xDE3D4963, 0x7B77ADA8,
+    0xDE0CCFB1, 0x7B6A6227,
+    0xDDDC5B3A, 0x7B5D039D,
+    0xDDABEC07, 0x7B4F920E,
+    0xDD7B8220, 0x7B420D7A,
+    0xDD4B1D8B, 0x7B3475E4,
+    0xDD1ABE51, 0x7B26CB4F,
+    0xDCEA6478, 0x7B190DBB,
+    0xDCBA1008, 0x7B0B3D2C,
+    0xDC89C108, 0x7AFD59A3,
+    0xDC597781, 0x7AEF6323,
+    0xDC293379, 0x7AE159AE,
+    0xDBF8F4F8, 0x7AD33D45,
+    0xDBC8BC05, 0x7AC50DEB,
+    0xDB9888A8, 0x7AB6CBA3,
+    0xDB685AE8, 0x7AA8766E,
+    0xDB3832CD, 0x7A9A0E4F,
+    0xDB08105E, 0x7A8B9348,
+    0xDAD7F3A2, 0x7A7D055B,
+    0xDAA7DCA1, 0x7A6E648A,
+    0xDA77CB62, 0x7A5FB0D8,
+    0xDA47BFED, 0x7A50EA46,
+    0xDA17BA4A, 0x7A4210D8,
+    0xD9E7BA7E, 0x7A33248F,
+    0xD9B7C093, 0x7A24256E,
+    0xD987CC8F, 0x7A151377,
+    0xD957DE7A, 0x7A05EEAD,
+    0xD927F65B, 0x79F6B711,
+    0xD8F81439, 0x79E76CA6,
+    0xD8C8381C, 0x79D80F6F,
+    0xD898620C, 0x79C89F6D,
+    0xD868920F, 0x79B91CA4,
+    0xD838C82D, 0x79A98715,
+    0xD809046D, 0x7999DEC3,
+    0xD7D946D7, 0x798A23B1,
+    0xD7A98F73, 0x797A55E0,
+    0xD779DE46, 0x796A7554,
+    0xD74A335A, 0x795A820E,
+    0xD71A8EB5, 0x794A7C11,
+    0xD6EAF05E, 0x793A6360,
+    0xD6BB585D, 0x792A37FE,
+    0xD68BC6BA, 0x7919F9EB,
+    0xD65C3B7B, 0x7909A92C,
+    0xD62CB6A7, 0x78F945C3,
+    0xD5FD3847, 0x78E8CFB1,
+    0xD5CDC062, 0x78D846FB,
+    0xD59E4EFE, 0x78C7ABA1,
+    0xD56EE424, 0x78B6FDA8,
+    0xD53F7FDA, 0x78A63D10,
+    0xD5102227, 0x789569DE,
+    0xD4E0CB14, 0x78848413,
+    0xD4B17AA7, 0x78738BB3,
+    0xD48230E8, 0x786280BF,
+    0xD452EDDE, 0x7851633B,
+    0xD423B190, 0x78403328,
+    0xD3F47C06, 0x782EF08B,
+    0xD3C54D46, 0x781D9B64,
+    0xD3962559, 0x780C33B8,
+    0xD3670445, 0x77FAB988,
+    0xD337EA12, 0x77E92CD8,
+    0xD308D6C6, 0x77D78DAA,
+    0xD2D9CA6A, 0x77C5DC01,
+    0xD2AAC504, 0x77B417DF,
+    0xD27BC69C, 0x77A24148,
+    0xD24CCF38, 0x7790583D,
+    0xD21DDEE1, 0x777E5CC3,
+    0xD1EEF59E, 0x776C4EDB,
+    0xD1C01374, 0x775A2E88,
+    0xD191386D, 0x7747FBCE,
+    0xD162648F, 0x7735B6AE,
+    0xD13397E1, 0x77235F2D,
+    0xD104D26B, 0x7710F54B,
+    0xD0D61433, 0x76FE790E,
+    0xD0A75D42, 0x76EBEA77,
+    0xD078AD9D, 0x76D94988,
+    0xD04A054D, 0x76C69646,
+    0xD01B6459, 0x76B3D0B3,
+    0xCFECCAC7, 0x76A0F8D2,
+    0xCFBE389F, 0x768E0EA5,
+    0xCF8FADE8, 0x767B1230,
+    0xCF612AAA, 0x76680376,
+    0xCF32AEEB, 0x7654E279,
+    0xCF043AB2, 0x7641AF3C,
+    0xCED5CE08, 0x762E69C3,
+    0xCEA768F2, 0x761B1211,
+    0xCE790B78, 0x7607A827,
+    0xCE4AB5A2, 0x75F42C0A,
+    0xCE1C6776, 0x75E09DBD,
+    0xCDEE20FC, 0x75CCFD42,
+    0xCDBFE23A, 0x75B94A9C,
+    0xCD91AB38, 0x75A585CF,
+    0xCD637BFD, 0x7591AEDD,
+    0xCD355490, 0x757DC5CA,
+    0xCD0734F8, 0x7569CA98,
+    0xCCD91D3D, 0x7555BD4B,
+    0xCCAB0D65, 0x75419DE6,
+    0xCC7D0577, 0x752D6C6C,
+    0xCC4F057B, 0x751928E0,
+    0xCC210D78, 0x7504D345,
+    0xCBF31D75, 0x74F06B9E,
+    0xCBC53578, 0x74DBF1EF,
+    0xCB975589, 0x74C7663A,
+    0xCB697DB0, 0x74B2C883,
+    0xCB3BADF2, 0x749E18CD,
+    0xCB0DE658, 0x7489571B,
+    0xCAE026E8, 0x74748371,
+    0xCAB26FA9, 0x745F9DD1,
+    0xCA84C0A2, 0x744AA63E,
+    0xCA5719DB, 0x74359CBD,
+    0xCA297B5A, 0x74208150,
+    0xC9FBE527, 0x740B53FA,
+    0xC9CE5748, 0x73F614C0,
+    0xC9A0D1C4, 0x73E0C3A3,
+    0xC97354A3, 0x73CB60A7,
+    0xC945DFEC, 0x73B5EBD0,
+    0xC91873A5, 0x73A06522,
+    0xC8EB0FD6, 0x738ACC9E,
+    0xC8BDB485, 0x73752249,
+    0xC89061BA, 0x735F6626,
+    0xC863177B, 0x73499838,
+    0xC835D5D0, 0x7333B883,
+    0xC8089CBF, 0x731DC709,
+    0xC7DB6C50, 0x7307C3D0,
+    0xC7AE4489, 0x72F1AED8,
+    0xC7812571, 0x72DB8828,
+    0xC7540F10, 0x72C54FC0,
+    0xC727016C, 0x72AF05A6,
+    0xC6F9FC8D, 0x7298A9DC,
+    0xC6CD0079, 0x72823C66,
+    0xC6A00D36, 0x726BBD48,
+    0xC67322CD, 0x72552C84,
+    0xC6464144, 0x723E8A1F,
+    0xC61968A2, 0x7227D61C,
+    0xC5EC98ED, 0x7211107D,
+    0xC5BFD22E, 0x71FA3948,
+    0xC593146A, 0x71E3507F,
+    0xC5665FA8, 0x71CC5626,
+    0xC539B3F0, 0x71B54A40,
+    0xC50D1148, 0x719E2CD2,
+    0xC4E077B8, 0x7186FDDE,
+    0xC4B3E746, 0x716FBD68,
+    0xC4875FF8, 0x71586B73,
+    0xC45AE1D7, 0x71410804,
+    0xC42E6CE8, 0x7129931E,
+    0xC4020132, 0x71120CC5,
+    0xC3D59EBD, 0x70FA74FB,
+    0xC3A9458F, 0x70E2CBC6,
+    0xC37CF5B0, 0x70CB1127,
+    0xC350AF25, 0x70B34524,
+    0xC32471F6, 0x709B67C0,
+    0xC2F83E2A, 0x708378FE,
+    0xC2CC13C7, 0x706B78E3,
+    0xC29FF2D4, 0x70536771,
+    0xC273DB58, 0x703B44AC,
+    0xC247CD5A, 0x70231099,
+    0xC21BC8E0, 0x700ACB3B,
+    0xC1EFCDF2, 0x6FF27496,
+    0xC1C3DC96, 0x6FDA0CAD,
+    0xC197F4D3, 0x6FC19385,
+    0xC16C16B0, 0x6FA90920,
+    0xC1404233, 0x6F906D84,
+    0xC1147763, 0x6F77C0B3,
+    0xC0E8B648, 0x6F5F02B1,
+    0xC0BCFEE7, 0x6F463383,
+    0xC0915147, 0x6F2D532C,
+    0xC065AD70, 0x6F1461AF,
+    0xC03A1368, 0x6EFB5F12,
+    0xC00E8335, 0x6EE24B57,
+    0xBFE2FCDF, 0x6EC92682,
+    0xBFB7806C, 0x6EAFF098,
+    0xBF8C0DE2, 0x6E96A99C,
+    0xBF60A54A, 0x6E7D5193,
+    0xBF3546A8, 0x6E63E87F,
+    0xBF09F204, 0x6E4A6E65,
+    0xBEDEA765, 0x6E30E349,
+    0xBEB366D1, 0x6E17472F,
+    0xBE88304F, 0x6DFD9A1B,
+    0xBE5D03E5, 0x6DE3DC11,
+    0xBE31E19B, 0x6DCA0D14,
+    0xBE06C977, 0x6DB02D29,
+    0xBDDBBB7F, 0x6D963C54,
+    0xBDB0B7BA, 0x6D7C3A98,
+    0xBD85BE2F, 0x6D6227FA,
+    0xBD5ACEE5, 0x6D48047E,
+    0xBD2FE9E1, 0x6D2DD027,
+    0xBD050F2C, 0x6D138AFA,
+    0xBCDA3ECA, 0x6CF934FB,
+    0xBCAF78C3, 0x6CDECE2E,
+    0xBC84BD1E, 0x6CC45697,
+    0xBC5A0BE1, 0x6CA9CE3A,
+    0xBC2F6513, 0x6C8F351C,
+    0xBC04C8BA, 0x6C748B3F,
+    0xBBDA36DC, 0x6C59D0A9,
+    0xBBAFAF81, 0x6C3F055D,
+    0xBB8532AF, 0x6C242960,
+    0xBB5AC06C, 0x6C093CB6,
+    0xBB3058C0, 0x6BEE3F62,
+    0xBB05FBB0, 0x6BD3316A,
+    0xBADBA943, 0x6BB812D0,
+    0xBAB1617F, 0x6B9CE39B,
+    0xBA87246C, 0x6B81A3CD,
+    0xBA5CF210, 0x6B66536A,
+    0xBA32CA70, 0x6B4AF278,
+    0xBA08AD94, 0x6B2F80FA,
+    0xB9DE9B83, 0x6B13FEF5,
+    0xB9B49442, 0x6AF86C6C,
+    0xB98A97D8, 0x6ADCC964,
+    0xB960A64B, 0x6AC115E1,
+    0xB936BFA3, 0x6AA551E8,
+    0xB90CE3E6, 0x6A897D7D,
+    0xB8E31319, 0x6A6D98A4,
+    0xB8B94D44, 0x6A51A361,
+    0xB88F926C, 0x6A359DB9,
+    0xB865E299, 0x6A1987B0,
+    0xB83C3DD1, 0x69FD614A,
+    0xB812A419, 0x69E12A8C,
+    0xB7E9157A, 0x69C4E37A,
+    0xB7BF91F8, 0x69A88C18,
+    0xB796199B, 0x698C246C,
+    0xB76CAC68, 0x696FAC78,
+    0xB7434A67, 0x69532442,
+    0xB719F39D, 0x69368BCE,
+    0xB6F0A811, 0x6919E320,
+    0xB6C767CA, 0x68FD2A3D,
+    0xB69E32CD, 0x68E06129,
+    0xB6750921, 0x68C387E9,
+    0xB64BEACC, 0x68A69E81,
+    0xB622D7D5, 0x6889A4F5,
+    0xB5F9D042, 0x686C9B4B,
+    0xB5D0D41A, 0x684F8186,
+    0xB5A7E362, 0x683257AA,
+    0xB57EFE21, 0x68151DBE,
+    0xB556245E, 0x67F7D3C4,
+    0xB52D561E, 0x67DA79C2,
+    0xB5049368, 0x67BD0FBC,
+    0xB4DBDC42, 0x679F95B7,
+    0xB4B330B2, 0x67820BB6,
+    0xB48A90C0, 0x676471C0,
+    0xB461FC70, 0x6746C7D7,
+    0xB43973C9, 0x67290E02,
+    0xB410F6D2, 0x670B4443,
+    0xB3E88591, 0x66ED6AA1,
+    0xB3C0200C, 0x66CF811F,
+    0xB397C649, 0x66B187C3,
+    0xB36F784E, 0x66937E90,
+    0xB3473622, 0x6675658C,
+    0xB31EFFCB, 0x66573CBB,
+    0xB2F6D54F, 0x66390422,
+    0xB2CEB6B5, 0x661ABBC5,
+    0xB2A6A401, 0x65FC63A9,
+    0xB27E9D3B, 0x65DDFBD3,
+    0xB256A26A, 0x65BF8447,
+    0xB22EB392, 0x65A0FD0B,
+    0xB206D0BA, 0x65826622,
+    0xB1DEF9E8, 0x6563BF92,
+    0xB1B72F23, 0x6545095F,
+    0xB18F7070, 0x6526438E,
+    0xB167BDD6, 0x65076E24,
+    0xB140175B, 0x64E88926,
+    0xB1187D05, 0x64C99498,
+    0xB0F0EEDA, 0x64AA907F,
+    0xB0C96CDF, 0x648B7CDF,
+    0xB0A1F71C, 0x646C59BF,
+    0xB07A8D97, 0x644D2722,
+    0xB0533055, 0x642DE50D,
+    0xB02BDF5C, 0x640E9385,
+    0xB0049AB2, 0x63EF328F,
+    0xAFDD625F, 0x63CFC230,
+    0xAFB63667, 0x63B0426D,
+    0xAF8F16D0, 0x6390B34A,
+    0xAF6803A1, 0x637114CC,
+    0xAF40FCE0, 0x635166F8,
+    0xAF1A0293, 0x6331A9D4,
+    0xAEF314BF, 0x6311DD63,
+    0xAECC336B, 0x62F201AC,
+    0xAEA55E9D, 0x62D216B2,
+    0xAE7E965B, 0x62B21C7B,
+    0xAE57DAAA, 0x6292130C,
+    0xAE312B91, 0x6271FA69,
+    0xAE0A8916, 0x6251D297,
+    0xADE3F33E, 0x62319B9D,
+    0xADBD6A10, 0x6211557D,
+    0xAD96ED91, 0x61F1003E,
+    0xAD707DC8, 0x61D09BE5,
+    0xAD4A1ABA, 0x61B02876,
+    0xAD23C46D, 0x618FA5F6,
+    0xACFD7AE8, 0x616F146B,
+    0xACD73E30, 0x614E73D9,
+    0xACB10E4A, 0x612DC446,
+    0xAC8AEB3E, 0x610D05B7,
+    0xAC64D510, 0x60EC3830,
+    0xAC3ECBC7, 0x60CB5BB6,
+    0xAC18CF68, 0x60AA704F,
+    0xABF2DFFA, 0x60897600,
+    0xABCCFD82, 0x60686CCE,
+    0xABA72806, 0x604754BE,
+    0xAB815F8C, 0x60262DD5,
+    0xAB5BA41A, 0x6004F818,
+    0xAB35F5B5, 0x5FE3B38D,
+    0xAB105464, 0x5FC26038,
+    0xAAEAC02B, 0x5FA0FE1E,
+    0xAAC53912, 0x5F7F8D46,
+    0xAA9FBF1D, 0x5F5E0DB3,
+    0xAA7A5253, 0x5F3C7F6B,
+    0xAA54F2B9, 0x5F1AE273,
+    0xAA2FA055, 0x5EF936D1,
+    0xAA0A5B2D, 0x5ED77C89,
+    0xA9E52347, 0x5EB5B3A1,
+    0xA9BFF8A8, 0x5E93DC1F,
+    0xA99ADB56, 0x5E71F606,
+    0xA975CB56, 0x5E50015D,
+    0xA950C8AF, 0x5E2DFE28,
+    0xA92BD366, 0x5E0BEC6E,
+    0xA906EB81, 0x5DE9CC32,
+    0xA8E21106, 0x5DC79D7C,
+    0xA8BD43FA, 0x5DA5604E,
+    0xA8988463, 0x5D8314B0,
+    0xA873D246, 0x5D60BAA6,
+    0xA84F2DA9, 0x5D3E5236,
+    0xA82A9693, 0x5D1BDB65,
+    0xA8060D08, 0x5CF95638,
+    0xA7E1910E, 0x5CD6C2B4,
+    0xA7BD22AB, 0x5CB420DF,
+    0xA798C1E4, 0x5C9170BF,
+    0xA7746EC0, 0x5C6EB258,
+    0xA7502943, 0x5C4BE5B0,
+    0xA72BF173, 0x5C290ACC,
+    0xA707C756, 0x5C0621B2,
+    0xA6E3AAF2, 0x5BE32A67,
+    0xA6BF9C4B, 0x5BC024F0,
+    0xA69B9B68, 0x5B9D1153,
+    0xA677A84E, 0x5B79EF96,
+    0xA653C302, 0x5B56BFBD,
+    0xA62FEB8B, 0x5B3381CE,
+    0xA60C21ED, 0x5B1035CF,
+    0xA5E8662F, 0x5AECDBC4,
+    0xA5C4B855, 0x5AC973B4,
+    0xA5A11865, 0x5AA5FDA4,
+    0xA57D8666, 0x5A82799A,
+    0xA55A025B, 0x5A5EE79A,
+    0xA5368C4B, 0x5A3B47AA,
+    0xA513243B, 0x5A1799D0,
+    0xA4EFCA31, 0x59F3DE12,
+    0xA4CC7E31, 0x59D01474,
+    0xA4A94042, 0x59AC3CFD,
+    0xA4861069, 0x598857B1,
+    0xA462EEAC, 0x59646497,
+    0xA43FDB0F, 0x594063B4,
+    0xA41CD598, 0x591C550E,
+    0xA3F9DE4D, 0x58F838A9,
+    0xA3D6F533, 0x58D40E8C,
+    0xA3B41A4F, 0x58AFD6BC,
+    0xA3914DA7, 0x588B913F,
+    0xA36E8F40, 0x58673E1B,
+    0xA34BDF20, 0x5842DD54,
+    0xA3293D4B, 0x581E6EF1,
+    0xA306A9C7, 0x57F9F2F7,
+    0xA2E4249A, 0x57D5696C,
+    0xA2C1ADC9, 0x57B0D256,
+    0xA29F4559, 0x578C2DB9,
+    0xA27CEB4F, 0x57677B9D,
+    0xA25A9FB1, 0x5742BC05,
+    0xA2386283, 0x571DEEF9,
+    0xA21633CD, 0x56F9147E,
+    0xA1F41391, 0x56D42C99,
+    0xA1D201D7, 0x56AF3750,
+    0xA1AFFEA2, 0x568A34A9,
+    0xA18E09F9, 0x566524AA,
+    0xA16C23E1, 0x56400757,
+    0xA14A4C5E, 0x561ADCB8,
+    0xA1288376, 0x55F5A4D2,
+    0xA106C92E, 0x55D05FAA,
+    0xA0E51D8C, 0x55AB0D46,
+    0xA0C38094, 0x5585ADAC,
+    0xA0A1F24C, 0x556040E2,
+    0xA08072BA, 0x553AC6ED,
+    0xA05F01E1, 0x55153FD4,
+    0xA03D9FC7, 0x54EFAB9C,
+    0xA01C4C72, 0x54CA0A4A,
+    0x9FFB07E7, 0x54A45BE5,
+    0x9FD9D22A, 0x547EA073,
+    0x9FB8AB41, 0x5458D7F9,
+    0x9F979331, 0x5433027D,
+    0x9F7689FF, 0x540D2005,
+    0x9F558FB0, 0x53E73097,
+    0x9F34A449, 0x53C13438,
+    0x9F13C7D0, 0x539B2AEF,
+    0x9EF2FA48, 0x537514C1,
+    0x9ED23BB9, 0x534EF1B5,
+    0x9EB18C26, 0x5328C1D0,
+    0x9E90EB94, 0x53028517,
+    0x9E705A09, 0x52DC3B92,
+    0x9E4FD789, 0x52B5E545,
+    0x9E2F641A, 0x528F8237,
+    0x9E0EFFC1, 0x5269126E,
+    0x9DEEAA82, 0x524295EF,
+    0x9DCE6462, 0x521C0CC1,
+    0x9DAE2D68, 0x51F576E9,
+    0x9D8E0596, 0x51CED46E,
+    0x9D6DECF4, 0x51A82555,
+    0x9D4DE384, 0x518169A4,
+    0x9D2DE94D, 0x515AA162,
+    0x9D0DFE53, 0x5133CC94,
+    0x9CEE229C, 0x510CEB40,
+    0x9CCE562B, 0x50E5FD6C,
+    0x9CAE9907, 0x50BF031F,
+    0x9C8EEB33, 0x5097FC5E,
+    0x9C6F4CB5, 0x5070E92F,
+    0x9C4FBD92, 0x5049C999,
+    0x9C303DCF, 0x50229DA0,
+    0x9C10CD70, 0x4FFB654D,
+    0x9BF16C7A, 0x4FD420A3,
+    0x9BD21AF2, 0x4FACCFAB,
+    0x9BB2D8DD, 0x4F857268,
+    0x9B93A640, 0x4F5E08E3,
+    0x9B748320, 0x4F369320,
+    0x9B556F80, 0x4F0F1126,
+    0x9B366B67, 0x4EE782FA,
+    0x9B1776D9, 0x4EBFE8A4,
+    0x9AF891DB, 0x4E984229,
+    0x9AD9BC71, 0x4E708F8F,
+    0x9ABAF6A0, 0x4E48D0DC,
+    0x9A9C406D, 0x4E210617,
+    0x9A7D99DD, 0x4DF92F45,
+    0x9A5F02F5, 0x4DD14C6E,
+    0x9A407BB8, 0x4DA95D96,
+    0x9A22042C, 0x4D8162C4,
+    0x9A039C56, 0x4D595BFE,
+    0x99E5443A, 0x4D31494B,
+    0x99C6FBDE, 0x4D092AB0,
+    0x99A8C344, 0x4CE10034,
+    0x998A9A73, 0x4CB8C9DD,
+    0x996C816F, 0x4C9087B1,
+    0x994E783C, 0x4C6839B6,
+    0x99307EE0, 0x4C3FDFF3,
+    0x9912955E, 0x4C177A6E,
+    0x98F4BBBC, 0x4BEF092D,
+    0x98D6F1FE, 0x4BC68C36,
+    0x98B93828, 0x4B9E038F,
+    0x989B8E3F, 0x4B756F3F,
+    0x987DF449, 0x4B4CCF4D,
+    0x98606A48, 0x4B2423BD,
+    0x9842F043, 0x4AFB6C97,
+    0x9825863D, 0x4AD2A9E1,
+    0x98082C3B, 0x4AA9DBA1,
+    0x97EAE241, 0x4A8101DE,
+    0x97CDA855, 0x4A581C9D,
+    0x97B07E7A, 0x4A2F2BE5,
+    0x979364B5, 0x4A062FBD,
+    0x97765B0A, 0x49DD282A,
+    0x9759617E, 0x49B41533,
+    0x973C7816, 0x498AF6DE,
+    0x971F9ED6, 0x4961CD32,
+    0x9702D5C2, 0x49389836,
+    0x96E61CDF, 0x490F57EE,
+    0x96C97431, 0x48E60C62,
+    0x96ACDBBD, 0x48BCB598,
+    0x96905387, 0x48935397,
+    0x9673DB94, 0x4869E664,
+    0x965773E7, 0x48406E07,
+    0x963B1C85, 0x4816EA85,
+    0x961ED573, 0x47ED5BE6,
+    0x96029EB5, 0x47C3C22E,
+    0x95E6784F, 0x479A1D66,
+    0x95CA6246, 0x47706D93,
+    0x95AE5C9E, 0x4746B2BC,
+    0x9592675B, 0x471CECE6,
+    0x95768282, 0x46F31C1A,
+    0x955AAE17, 0x46C9405C,
+    0x953EEA1E, 0x469F59B4,
+    0x9523369B, 0x46756827,
+    0x95079393, 0x464B6BBD,
+    0x94EC010B, 0x4621647C,
+    0x94D07F05, 0x45F7526B,
+    0x94B50D87, 0x45CD358F,
+    0x9499AC95, 0x45A30DF0,
+    0x947E5C32, 0x4578DB93,
+    0x94631C64, 0x454E9E80,
+    0x9447ED2F, 0x452456BC,
+    0x942CCE95, 0x44FA044F,
+    0x9411C09D, 0x44CFA73F,
+    0x93F6C34A, 0x44A53F93,
+    0x93DBD69F, 0x447ACD50,
+    0x93C0FAA2, 0x4450507E,
+    0x93A62F56, 0x4425C923,
+    0x938B74C0, 0x43FB3745,
+    0x9370CAE4, 0x43D09AEC,
+    0x935631C5, 0x43A5F41E,
+    0x933BA968, 0x437B42E1,
+    0x932131D1, 0x4350873C,
+    0x9306CB04, 0x4325C135,
+    0x92EC7505, 0x42FAF0D4,
+    0x92D22FD8, 0x42D0161E,
+    0x92B7FB82, 0x42A5311A,
+    0x929DD805, 0x427A41D0,
+    0x9283C567, 0x424F4845,
+    0x9269C3AC, 0x42244480,
+    0x924FD2D6, 0x41F93688,
+    0x9235F2EB, 0x41CE1E64,
+    0x921C23EE, 0x41A2FC1A,
+    0x920265E4, 0x4177CFB0,
+    0x91E8B8D0, 0x414C992E,
+    0x91CF1CB6, 0x4121589A,
+    0x91B5919A, 0x40F60DFB,
+    0x919C1780, 0x40CAB957,
+    0x9182AE6C, 0x409F5AB6,
+    0x91695663, 0x4073F21D,
+    0x91500F67, 0x40487F93,
+    0x9136D97D, 0x401D0320,
+    0x911DB4A8, 0x3FF17CCA,
+    0x9104A0ED, 0x3FC5EC97,
+    0x90EB9E50, 0x3F9A528F,
+    0x90D2ACD3, 0x3F6EAEB8,
+    0x90B9CC7C, 0x3F430118,
+    0x90A0FD4E, 0x3F1749B7,
+    0x90883F4C, 0x3EEB889C,
+    0x906F927B, 0x3EBFBDCC,
+    0x9056F6DF, 0x3E93E94F,
+    0x903E6C7A, 0x3E680B2C,
+    0x9025F352, 0x3E3C2369,
+    0x900D8B69, 0x3E10320D,
+    0x8FF534C4, 0x3DE4371F,
+    0x8FDCEF66, 0x3DB832A5,
+    0x8FC4BB53, 0x3D8C24A7,
+    0x8FAC988E, 0x3D600D2B,
+    0x8F94871D, 0x3D33EC39,
+    0x8F7C8701, 0x3D07C1D5,
+    0x8F64983F, 0x3CDB8E09,
+    0x8F4CBADB, 0x3CAF50DA,
+    0x8F34EED8, 0x3C830A4F,
+    0x8F1D343A, 0x3C56BA70,
+    0x8F058B04, 0x3C2A6142,
+    0x8EEDF33B, 0x3BFDFECD,
+    0x8ED66CE1, 0x3BD19317,
+    0x8EBEF7FB, 0x3BA51E29,
+    0x8EA7948C, 0x3B78A007,
+    0x8E904298, 0x3B4C18BA,
+    0x8E790222, 0x3B1F8847,
+    0x8E61D32D, 0x3AF2EEB7,
+    0x8E4AB5BF, 0x3AC64C0F,
+    0x8E33A9D9, 0x3A99A057,
+    0x8E1CAF80, 0x3A6CEB95,
+    0x8E05C6B7, 0x3A402DD1,
+    0x8DEEEF82, 0x3A136712,
+    0x8DD829E4, 0x39E6975D,
+    0x8DC175E0, 0x39B9BEBB,
+    0x8DAAD37B, 0x398CDD32,
+    0x8D9442B7, 0x395FF2C9,
+    0x8D7DC399, 0x3932FF87,
+    0x8D675623, 0x39060372,
+    0x8D50FA59, 0x38D8FE93,
+    0x8D3AB03F, 0x38ABF0EF,
+    0x8D2477D8, 0x387EDA8E,
+    0x8D0E5127, 0x3851BB76,
+    0x8CF83C30, 0x382493B0,
+    0x8CE238F6, 0x37F76340,
+    0x8CCC477D, 0x37CA2A30,
+    0x8CB667C7, 0x379CE884,
+    0x8CA099D9, 0x376F9E46,
+    0x8C8ADDB6, 0x37424B7A,
+    0x8C753361, 0x3714F02A,
+    0x8C5F9ADD, 0x36E78C5A,
+    0x8C4A142F, 0x36BA2013,
+    0x8C349F58, 0x368CAB5C,
+    0x8C1F3C5C, 0x365F2E3B,
+    0x8C09EB40, 0x3631A8B7,
+    0x8BF4AC05, 0x36041AD9,
+    0x8BDF7EAF, 0x35D684A5,
+    0x8BCA6342, 0x35A8E624,
+    0x8BB559C1, 0x357B3F5D,
+    0x8BA0622F, 0x354D9056,
+    0x8B8B7C8F, 0x351FD917,
+    0x8B76A8E4, 0x34F219A7,
+    0x8B61E732, 0x34C4520D,
+    0x8B4D377C, 0x3496824F,
+    0x8B3899C5, 0x3468AA76,
+    0x8B240E10, 0x343ACA87,
+    0x8B0F9461, 0x340CE28A,
+    0x8AFB2CBA, 0x33DEF287,
+    0x8AE6D71F, 0x33B0FA84,
+    0x8AD29393, 0x3382FA88,
+    0x8ABE6219, 0x3354F29A,
+    0x8AAA42B4, 0x3326E2C2,
+    0x8A963567, 0x32F8CB07,
+    0x8A823A35, 0x32CAAB6F,
+    0x8A6E5122, 0x329C8402,
+    0x8A5A7A30, 0x326E54C7,
+    0x8A46B563, 0x32401DC5,
+    0x8A3302BD, 0x3211DF03,
+    0x8A1F6242, 0x31E39889,
+    0x8A0BD3F5, 0x31B54A5D,
+    0x89F857D8, 0x3186F487,
+    0x89E4EDEE, 0x3158970D,
+    0x89D1963C, 0x312A31F8,
+    0x89BE50C3, 0x30FBC54D,
+    0x89AB1D86, 0x30CD5114,
+    0x8997FC89, 0x309ED555,
+    0x8984EDCF, 0x30705217,
+    0x8971F15A, 0x3041C760,
+    0x895F072D, 0x30133538,
+    0x894C2F4C, 0x2FE49BA6,
+    0x893969B9, 0x2FB5FAB2,
+    0x8926B677, 0x2F875262,
+    0x89141589, 0x2F58A2BD,
+    0x890186F1, 0x2F29EBCC,
+    0x88EF0AB4, 0x2EFB2D94,
+    0x88DCA0D3, 0x2ECC681E,
+    0x88CA4951, 0x2E9D9B70,
+    0x88B80431, 0x2E6EC792,
+    0x88A5D177, 0x2E3FEC8B,
+    0x8893B124, 0x2E110A62,
+    0x8881A33C, 0x2DE2211E,
+    0x886FA7C2, 0x2DB330C7,
+    0x885DBEB7, 0x2D843963,
+    0x884BE820, 0x2D553AFB,
+    0x883A23FE, 0x2D263595,
+    0x88287255, 0x2CF72939,
+    0x8816D327, 0x2CC815ED,
+    0x88054677, 0x2C98FBBA,
+    0x87F3CC47, 0x2C69DAA6,
+    0x87E2649B, 0x2C3AB2B9,
+    0x87D10F75, 0x2C0B83F9,
+    0x87BFCCD7, 0x2BDC4E6F,
+    0x87AE9CC5, 0x2BAD1221,
+    0x879D7F40, 0x2B7DCF17,
+    0x878C744C, 0x2B4E8558,
+    0x877B7BEC, 0x2B1F34EB,
+    0x876A9621, 0x2AEFDDD8,
+    0x8759C2EF, 0x2AC08025,
+    0x87490257, 0x2A911BDB,
+    0x8738545E, 0x2A61B101,
+    0x8727B904, 0x2A323F9D,
+    0x8717304E, 0x2A02C7B8,
+    0x8706BA3C, 0x29D34958,
+    0x86F656D3, 0x29A3C484,
+    0x86E60614, 0x29743945,
+    0x86D5C802, 0x2944A7A2,
+    0x86C59C9F, 0x29150FA1,
+    0x86B583EE, 0x28E5714A,
+    0x86A57DF1, 0x28B5CCA5,
+    0x86958AAB, 0x288621B9,
+    0x8685AA1F, 0x2856708C,
+    0x8675DC4E, 0x2826B928,
+    0x8666213C, 0x27F6FB92,
+    0x865678EA, 0x27C737D2,
+    0x8646E35B, 0x27976DF1,
+    0x86376092, 0x27679DF4,
+    0x8627F090, 0x2737C7E3,
+    0x86189359, 0x2707EBC6,
+    0x860948EE, 0x26D809A5,
+    0x85FA1152, 0x26A82185,
+    0x85EAEC88, 0x26783370,
+    0x85DBDA91, 0x26483F6C,
+    0x85CCDB70, 0x26184581,
+    0x85BDEF27, 0x25E845B5,
+    0x85AF15B9, 0x25B84012,
+    0x85A04F28, 0x2588349D,
+    0x85919B75, 0x2558235E,
+    0x8582FAA4, 0x25280C5D,
+    0x85746CB7, 0x24F7EFA1,
+    0x8565F1B0, 0x24C7CD32,
+    0x85578991, 0x2497A517,
+    0x8549345C, 0x24677757,
+    0x853AF214, 0x243743FA,
+    0x852CC2BA, 0x24070B07,
+    0x851EA652, 0x23D6CC86,
+    0x85109CDC, 0x23A6887E,
+    0x8502A65C, 0x23763EF7,
+    0x84F4C2D3, 0x2345EFF7,
+    0x84E6F244, 0x23159B87,
+    0x84D934B0, 0x22E541AE,
+    0x84CB8A1B, 0x22B4E274,
+    0x84BDF285, 0x22847DDF,
+    0x84B06DF1, 0x225413F8,
+    0x84A2FC62, 0x2223A4C5,
+    0x84959DD9, 0x21F3304E,
+    0x84885257, 0x21C2B69C,
+    0x847B19E1, 0x219237B4,
+    0x846DF476, 0x2161B39F,
+    0x8460E21A, 0x21312A65,
+    0x8453E2CE, 0x21009C0B,
+    0x8446F695, 0x20D0089B,
+    0x843A1D70, 0x209F701C,
+    0x842D5761, 0x206ED295,
+    0x8420A46B, 0x203E300D,
+    0x8414048F, 0x200D888C,
+    0x840777CF, 0x1FDCDC1A,
+    0x83FAFE2E, 0x1FAC2ABF,
+    0x83EE97AC, 0x1F7B7480,
+    0x83E2444D, 0x1F4AB967,
+    0x83D60411, 0x1F19F97B,
+    0x83C9D6FB, 0x1EE934C2,
+    0x83BDBD0D, 0x1EB86B46,
+    0x83B1B649, 0x1E879D0C,
+    0x83A5C2B0, 0x1E56CA1E,
+    0x8399E244, 0x1E25F281,
+    0x838E1507, 0x1DF5163F,
+    0x83825AFB, 0x1DC4355D,
+    0x8376B422, 0x1D934FE5,
+    0x836B207D, 0x1D6265DD,
+    0x835FA00E, 0x1D31774D,
+    0x835432D8, 0x1D00843C,
+    0x8348D8DB, 0x1CCF8CB3,
+    0x833D921A, 0x1C9E90B8,
+    0x83325E97, 0x1C6D9053,
+    0x83273E52, 0x1C3C8B8C,
+    0x831C314E, 0x1C0B826A,
+    0x8311378C, 0x1BDA74F5,
+    0x8306510F, 0x1BA96334,
+    0x82FB7DD8, 0x1B784D30,
+    0x82F0BDE8, 0x1B4732EF,
+    0x82E61141, 0x1B161479,
+    0x82DB77E5, 0x1AE4F1D6,
+    0x82D0F1D5, 0x1AB3CB0C,
+    0x82C67F13, 0x1A82A025,
+    0x82BC1FA1, 0x1A517127,
+    0x82B1D381, 0x1A203E1B,
+    0x82A79AB3, 0x19EF0706,
+    0x829D753A, 0x19BDCBF2,
+    0x82936316, 0x198C8CE6,
+    0x8289644A, 0x195B49E9,
+    0x827F78D8, 0x192A0303,
+    0x8275A0C0, 0x18F8B83C,
+    0x826BDC04, 0x18C7699B,
+    0x82622AA5, 0x18961727,
+    0x82588CA6, 0x1864C0E9,
+    0x824F0208, 0x183366E8,
+    0x82458ACB, 0x1802092C,
+    0x823C26F2, 0x17D0A7BB,
+    0x8232D67E, 0x179F429F,
+    0x82299971, 0x176DD9DE,
+    0x82206FCB, 0x173C6D80,
+    0x8217598F, 0x170AFD8D,
+    0x820E56BE, 0x16D98A0C,
+    0x82056758, 0x16A81305,
+    0x81FC8B60, 0x1676987F,
+    0x81F3C2D7, 0x16451A83,
+    0x81EB0DBD, 0x16139917,
+    0x81E26C16, 0x15E21444,
+    0x81D9DDE1, 0x15B08C11,
+    0x81D16320, 0x157F0086,
+    0x81C8FBD5, 0x154D71AA,
+    0x81C0A801, 0x151BDF85,
+    0x81B867A4, 0x14EA4A1F,
+    0x81B03AC1, 0x14B8B17F,
+    0x81A82159, 0x148715AD,
+    0x81A01B6C, 0x145576B1,
+    0x819828FD, 0x1423D492,
+    0x81904A0C, 0x13F22F57,
+    0x81887E9A, 0x13C0870A,
+    0x8180C6A9, 0x138EDBB0,
+    0x8179223A, 0x135D2D53,
+    0x8171914E, 0x132B7BF9,
+    0x816A13E6, 0x12F9C7AA,
+    0x8162AA03, 0x12C8106E,
+    0x815B53A8, 0x1296564D,
+    0x815410D3, 0x1264994E,
+    0x814CE188, 0x1232D978,
+    0x8145C5C6, 0x120116D4,
+    0x813EBD90, 0x11CF516A,
+    0x8137C8E6, 0x119D8940,
+    0x8130E7C8, 0x116BBE5F,
+    0x812A1A39, 0x1139F0CE,
+    0x81236039, 0x11082096,
+    0x811CB9CA, 0x10D64DBC,
+    0x811626EC, 0x10A4784A,
+    0x810FA7A0, 0x1072A047,
+    0x81093BE8, 0x1040C5BB,
+    0x8102E3C3, 0x100EE8AD,
+    0x80FC9F35, 0x0FDD0925,
+    0x80F66E3C, 0x0FAB272B,
+    0x80F050DB, 0x0F7942C6,
+    0x80EA4712, 0x0F475BFE,
+    0x80E450E2, 0x0F1572DC,
+    0x80DE6E4C, 0x0EE38765,
+    0x80D89F51, 0x0EB199A3,
+    0x80D2E3F1, 0x0E7FA99D,
+    0x80CD3C2F, 0x0E4DB75B,
+    0x80C7A80A, 0x0E1BC2E3,
+    0x80C22783, 0x0DE9CC3F,
+    0x80BCBA9C, 0x0DB7D376,
+    0x80B76155, 0x0D85D88F,
+    0x80B21BAF, 0x0D53DB92,
+    0x80ACE9AB, 0x0D21DC87,
+    0x80A7CB49, 0x0CEFDB75,
+    0x80A2C08B, 0x0CBDD865,
+    0x809DC970, 0x0C8BD35E,
+    0x8098E5FB, 0x0C59CC67,
+    0x8094162B, 0x0C27C389,
+    0x808F5A02, 0x0BF5B8CB,
+    0x808AB180, 0x0BC3AC35,
+    0x80861CA5, 0x0B919DCE,
+    0x80819B74, 0x0B5F8D9F,
+    0x807D2DEB, 0x0B2D7BAE,
+    0x8078D40D, 0x0AFB6805,
+    0x80748DD9, 0x0AC952AA,
+    0x80705B50, 0x0A973BA5,
+    0x806C3C73, 0x0A6522FE,
+    0x80683143, 0x0A3308BC,
+    0x806439C0, 0x0A00ECE8,
+    0x806055EA, 0x09CECF89,
+    0x805C85C3, 0x099CB0A7,
+    0x8058C94C, 0x096A9049,
+    0x80552083, 0x09386E77,
+    0x80518B6B, 0x09064B3A,
+    0x804E0A03, 0x08D42698,
+    0x804A9C4D, 0x08A2009A,
+    0x80474248, 0x086FD947,
+    0x8043FBF6, 0x083DB0A7,
+    0x8040C956, 0x080B86C1,
+    0x803DAA69, 0x07D95B9E,
+    0x803A9F31, 0x07A72F45,
+    0x8037A7AC, 0x077501BE,
+    0x8034C3DC, 0x0742D310,
+    0x8031F3C1, 0x0710A344,
+    0x802F375C, 0x06DE7261,
+    0x802C8EAD, 0x06AC406F,
+    0x8029F9B4, 0x067A0D75,
+    0x80277872, 0x0647D97C,
+    0x80250AE7, 0x0615A48A,
+    0x8022B113, 0x05E36EA9,
+    0x80206AF8, 0x05B137DF,
+    0x801E3894, 0x057F0034,
+    0x801C19E9, 0x054CC7B0,
+    0x801A0EF7, 0x051A8E5C,
+    0x801817BF, 0x04E8543D,
+    0x80163440, 0x04B6195D,
+    0x8014647A, 0x0483DDC3,
+    0x8012A86F, 0x0451A176,
+    0x8011001E, 0x041F647F,
+    0x800F6B88, 0x03ED26E6,
+    0x800DEAAC, 0x03BAE8B1,
+    0x800C7D8C, 0x0388A9E9,
+    0x800B2427, 0x03566A96,
+    0x8009DE7D, 0x03242ABF,
+    0x8008AC90, 0x02F1EA6B,
+    0x80078E5E, 0x02BFA9A4,
+    0x800683E8, 0x028D6870,
+    0x80058D2E, 0x025B26D7,
+    0x8004AA31, 0x0228E4E1,
+    0x8003DAF0, 0x01F6A296,
+    0x80031F6C, 0x01C45FFE,
+    0x800277A5, 0x01921D1F,
+    0x8001E39B, 0x015FDA03,
+    0x8001634D, 0x012D96B0,
+    0x8000F6BD, 0x00FB532F,
+    0x80009DE9, 0x00C90F88,
+    0x800058D3, 0x0096CBC1,
+    0x8000277A, 0x006487E3,
+    0x800009DE, 0x003243F5,
+    0x80000000, 0x00000000,
+    0x800009DE, 0xFFCDBC0A,
+    0x8000277A, 0xFF9B781D,
+    0x800058D3, 0xFF69343E,
+    0x80009DE9, 0xFF36F078,
+    0x8000F6BD, 0xFF04ACD0,
+    0x8001634D, 0xFED2694F,
+    0x8001E39B, 0xFEA025FC,
+    0x800277A5, 0xFE6DE2E0,
+    0x80031F6C, 0xFE3BA001,
+    0x8003DAF0, 0xFE095D69,
+    0x8004AA31, 0xFDD71B1E,
+    0x80058D2E, 0xFDA4D928,
+    0x800683E8, 0xFD72978F,
+    0x80078E5E, 0xFD40565B,
+    0x8008AC90, 0xFD0E1594,
+    0x8009DE7D, 0xFCDBD541,
+    0x800B2427, 0xFCA99569,
+    0x800C7D8C, 0xFC775616,
+    0x800DEAAC, 0xFC45174E,
+    0x800F6B88, 0xFC12D919,
+    0x8011001E, 0xFBE09B80,
+    0x8012A86F, 0xFBAE5E89,
+    0x8014647A, 0xFB7C223C,
+    0x80163440, 0xFB49E6A2,
+    0x801817BF, 0xFB17ABC2,
+    0x801A0EF7, 0xFAE571A4,
+    0x801C19E9, 0xFAB3384F,
+    0x801E3894, 0xFA80FFCB,
+    0x80206AF8, 0xFA4EC820,
+    0x8022B113, 0xFA1C9156,
+    0x80250AE7, 0xF9EA5B75,
+    0x80277872, 0xF9B82683,
+    0x8029F9B4, 0xF985F28A,
+    0x802C8EAD, 0xF953BF90,
+    0x802F375C, 0xF9218D9E,
+    0x8031F3C1, 0xF8EF5CBB,
+    0x8034C3DC, 0xF8BD2CEF,
+    0x8037A7AC, 0xF88AFE41,
+    0x803A9F31, 0xF858D0BA,
+    0x803DAA69, 0xF826A461,
+    0x8040C956, 0xF7F4793E,
+    0x8043FBF6, 0xF7C24F58,
+    0x80474248, 0xF79026B8,
+    0x804A9C4D, 0xF75DFF65,
+    0x804E0A03, 0xF72BD967,
+    0x80518B6B, 0xF6F9B4C5,
+    0x80552083, 0xF6C79188,
+    0x8058C94C, 0xF6956FB6,
+    0x805C85C3, 0xF6634F58,
+    0x806055EA, 0xF6313076,
+    0x806439C0, 0xF5FF1317,
+    0x80683143, 0xF5CCF743,
+    0x806C3C73, 0xF59ADD01,
+    0x80705B50, 0xF568C45A,
+    0x80748DD9, 0xF536AD55,
+    0x8078D40D, 0xF50497FA,
+    0x807D2DEB, 0xF4D28451,
+    0x80819B74, 0xF4A07260,
+    0x80861CA5, 0xF46E6231,
+    0x808AB180, 0xF43C53CA,
+    0x808F5A02, 0xF40A4734,
+    0x8094162B, 0xF3D83C76,
+    0x8098E5FB, 0xF3A63398,
+    0x809DC970, 0xF3742CA1,
+    0x80A2C08B, 0xF342279A,
+    0x80A7CB49, 0xF310248A,
+    0x80ACE9AB, 0xF2DE2378,
+    0x80B21BAF, 0xF2AC246D,
+    0x80B76155, 0xF27A2770,
+    0x80BCBA9C, 0xF2482C89,
+    0x80C22783, 0xF21633C0,
+    0x80C7A80A, 0xF1E43D1C,
+    0x80CD3C2F, 0xF1B248A5,
+    0x80D2E3F1, 0xF1805662,
+    0x80D89F51, 0xF14E665C,
+    0x80DE6E4C, 0xF11C789A,
+    0x80E450E2, 0xF0EA8D23,
+    0x80EA4712, 0xF0B8A401,
+    0x80F050DB, 0xF086BD39,
+    0x80F66E3C, 0xF054D8D4,
+    0x80FC9F35, 0xF022F6DA,
+    0x8102E3C3, 0xEFF11752,
+    0x81093BE8, 0xEFBF3A44,
+    0x810FA7A0, 0xEF8D5FB8,
+    0x811626EC, 0xEF5B87B5,
+    0x811CB9CA, 0xEF29B243,
+    0x81236039, 0xEEF7DF6A,
+    0x812A1A39, 0xEEC60F31,
+    0x8130E7C8, 0xEE9441A0,
+    0x8137C8E6, 0xEE6276BF,
+    0x813EBD90, 0xEE30AE95,
+    0x8145C5C6, 0xEDFEE92B,
+    0x814CE188, 0xEDCD2687,
+    0x815410D3, 0xED9B66B2,
+    0x815B53A8, 0xED69A9B2,
+    0x8162AA03, 0xED37EF91,
+    0x816A13E6, 0xED063855,
+    0x8171914E, 0xECD48406,
+    0x8179223A, 0xECA2D2AC,
+    0x8180C6A9, 0xEC71244F,
+    0x81887E9A, 0xEC3F78F5,
+    0x81904A0C, 0xEC0DD0A8,
+    0x819828FD, 0xEBDC2B6D,
+    0x81A01B6C, 0xEBAA894E,
+    0x81A82159, 0xEB78EA52,
+    0x81B03AC1, 0xEB474E80,
+    0x81B867A4, 0xEB15B5E0,
+    0x81C0A801, 0xEAE4207A,
+    0x81C8FBD5, 0xEAB28E55,
+    0x81D16320, 0xEA80FF79,
+    0x81D9DDE1, 0xEA4F73EE,
+    0x81E26C16, 0xEA1DEBBB,
+    0x81EB0DBD, 0xE9EC66E8,
+    0x81F3C2D7, 0xE9BAE57C,
+    0x81FC8B60, 0xE9896780,
+    0x82056758, 0xE957ECFB,
+    0x820E56BE, 0xE92675F4,
+    0x8217598F, 0xE8F50273,
+    0x82206FCB, 0xE8C3927F,
+    0x82299971, 0xE8922621,
+    0x8232D67E, 0xE860BD60,
+    0x823C26F2, 0xE82F5844,
+    0x82458ACB, 0xE7FDF6D3,
+    0x824F0208, 0xE7CC9917,
+    0x82588CA6, 0xE79B3F16,
+    0x82622AA5, 0xE769E8D8,
+    0x826BDC04, 0xE7389664,
+    0x8275A0C0, 0xE70747C3,
+    0x827F78D8, 0xE6D5FCFC,
+    0x8289644A, 0xE6A4B616,
+    0x82936316, 0xE6737319,
+    0x829D753A, 0xE642340D,
+    0x82A79AB3, 0xE610F8F9,
+    0x82B1D381, 0xE5DFC1E4,
+    0x82BC1FA1, 0xE5AE8ED8,
+    0x82C67F13, 0xE57D5FDA,
+    0x82D0F1D5, 0xE54C34F3,
+    0x82DB77E5, 0xE51B0E2A,
+    0x82E61141, 0xE4E9EB86,
+    0x82F0BDE8, 0xE4B8CD10,
+    0x82FB7DD8, 0xE487B2CF,
+    0x8306510F, 0xE4569CCB,
+    0x8311378C, 0xE4258B0A,
+    0x831C314E, 0xE3F47D95,
+    0x83273E52, 0xE3C37473,
+    0x83325E97, 0xE3926FAC,
+    0x833D921A, 0xE3616F47,
+    0x8348D8DB, 0xE330734C,
+    0x835432D8, 0xE2FF7BC3,
+    0x835FA00E, 0xE2CE88B2,
+    0x836B207D, 0xE29D9A22,
+    0x8376B422, 0xE26CB01A,
+    0x83825AFB, 0xE23BCAA2,
+    0x838E1507, 0xE20AE9C1,
+    0x8399E244, 0xE1DA0D7E,
+    0x83A5C2B0, 0xE1A935E1,
+    0x83B1B649, 0xE17862F3,
+    0x83BDBD0D, 0xE14794B9,
+    0x83C9D6FB, 0xE116CB3D,
+    0x83D60411, 0xE0E60684,
+    0x83E2444D, 0xE0B54698,
+    0x83EE97AC, 0xE0848B7F,
+    0x83FAFE2E, 0xE053D541,
+    0x840777CF, 0xE02323E5,
+    0x8414048F, 0xDFF27773,
+    0x8420A46B, 0xDFC1CFF2,
+    0x842D5761, 0xDF912D6A,
+    0x843A1D70, 0xDF608FE3,
+    0x8446F695, 0xDF2FF764,
+    0x8453E2CE, 0xDEFF63F4,
+    0x8460E21A, 0xDECED59B,
+    0x846DF476, 0xDE9E4C60,
+    0x847B19E1, 0xDE6DC84B,
+    0x84885257, 0xDE3D4963,
+    0x84959DD9, 0xDE0CCFB1,
+    0x84A2FC62, 0xDDDC5B3A,
+    0x84B06DF1, 0xDDABEC07,
+    0x84BDF285, 0xDD7B8220,
+    0x84CB8A1B, 0xDD4B1D8B,
+    0x84D934B0, 0xDD1ABE51,
+    0x84E6F244, 0xDCEA6478,
+    0x84F4C2D3, 0xDCBA1008,
+    0x8502A65C, 0xDC89C108,
+    0x85109CDC, 0xDC597781,
+    0x851EA652, 0xDC293379,
+    0x852CC2BA, 0xDBF8F4F8,
+    0x853AF214, 0xDBC8BC05,
+    0x8549345C, 0xDB9888A8,
+    0x85578991, 0xDB685AE8,
+    0x8565F1B0, 0xDB3832CD,
+    0x85746CB7, 0xDB08105E,
+    0x8582FAA4, 0xDAD7F3A2,
+    0x85919B75, 0xDAA7DCA1,
+    0x85A04F28, 0xDA77CB62,
+    0x85AF15B9, 0xDA47BFED,
+    0x85BDEF27, 0xDA17BA4A,
+    0x85CCDB70, 0xD9E7BA7E,
+    0x85DBDA91, 0xD9B7C093,
+    0x85EAEC88, 0xD987CC8F,
+    0x85FA1152, 0xD957DE7A,
+    0x860948EE, 0xD927F65B,
+    0x86189359, 0xD8F81439,
+    0x8627F090, 0xD8C8381C,
+    0x86376092, 0xD898620C,
+    0x8646E35B, 0xD868920F,
+    0x865678EA, 0xD838C82D,
+    0x8666213C, 0xD809046D,
+    0x8675DC4E, 0xD7D946D7,
+    0x8685AA1F, 0xD7A98F73,
+    0x86958AAB, 0xD779DE46,
+    0x86A57DF1, 0xD74A335A,
+    0x86B583EE, 0xD71A8EB5,
+    0x86C59C9F, 0xD6EAF05E,
+    0x86D5C802, 0xD6BB585D,
+    0x86E60614, 0xD68BC6BA,
+    0x86F656D3, 0xD65C3B7B,
+    0x8706BA3C, 0xD62CB6A7,
+    0x8717304E, 0xD5FD3847,
+    0x8727B904, 0xD5CDC062,
+    0x8738545E, 0xD59E4EFE,
+    0x87490257, 0xD56EE424,
+    0x8759C2EF, 0xD53F7FDA,
+    0x876A9621, 0xD5102227,
+    0x877B7BEC, 0xD4E0CB14,
+    0x878C744C, 0xD4B17AA7,
+    0x879D7F40, 0xD48230E8,
+    0x87AE9CC5, 0xD452EDDE,
+    0x87BFCCD7, 0xD423B190,
+    0x87D10F75, 0xD3F47C06,
+    0x87E2649B, 0xD3C54D46,
+    0x87F3CC47, 0xD3962559,
+    0x88054677, 0xD3670445,
+    0x8816D327, 0xD337EA12,
+    0x88287255, 0xD308D6C6,
+    0x883A23FE, 0xD2D9CA6A,
+    0x884BE820, 0xD2AAC504,
+    0x885DBEB7, 0xD27BC69C,
+    0x886FA7C2, 0xD24CCF38,
+    0x8881A33C, 0xD21DDEE1,
+    0x8893B124, 0xD1EEF59E,
+    0x88A5D177, 0xD1C01374,
+    0x88B80431, 0xD191386D,
+    0x88CA4951, 0xD162648F,
+    0x88DCA0D3, 0xD13397E1,
+    0x88EF0AB4, 0xD104D26B,
+    0x890186F1, 0xD0D61433,
+    0x89141589, 0xD0A75D42,
+    0x8926B677, 0xD078AD9D,
+    0x893969B9, 0xD04A054D,
+    0x894C2F4C, 0xD01B6459,
+    0x895F072D, 0xCFECCAC7,
+    0x8971F15A, 0xCFBE389F,
+    0x8984EDCF, 0xCF8FADE8,
+    0x8997FC89, 0xCF612AAA,
+    0x89AB1D86, 0xCF32AEEB,
+    0x89BE50C3, 0xCF043AB2,
+    0x89D1963C, 0xCED5CE08,
+    0x89E4EDEE, 0xCEA768F2,
+    0x89F857D8, 0xCE790B78,
+    0x8A0BD3F5, 0xCE4AB5A2,
+    0x8A1F6242, 0xCE1C6776,
+    0x8A3302BD, 0xCDEE20FC,
+    0x8A46B563, 0xCDBFE23A,
+    0x8A5A7A30, 0xCD91AB38,
+    0x8A6E5122, 0xCD637BFD,
+    0x8A823A35, 0xCD355490,
+    0x8A963567, 0xCD0734F8,
+    0x8AAA42B4, 0xCCD91D3D,
+    0x8ABE6219, 0xCCAB0D65,
+    0x8AD29393, 0xCC7D0577,
+    0x8AE6D71F, 0xCC4F057B,
+    0x8AFB2CBA, 0xCC210D78,
+    0x8B0F9461, 0xCBF31D75,
+    0x8B240E10, 0xCBC53578,
+    0x8B3899C5, 0xCB975589,
+    0x8B4D377C, 0xCB697DB0,
+    0x8B61E732, 0xCB3BADF2,
+    0x8B76A8E4, 0xCB0DE658,
+    0x8B8B7C8F, 0xCAE026E8,
+    0x8BA0622F, 0xCAB26FA9,
+    0x8BB559C1, 0xCA84C0A2,
+    0x8BCA6342, 0xCA5719DB,
+    0x8BDF7EAF, 0xCA297B5A,
+    0x8BF4AC05, 0xC9FBE527,
+    0x8C09EB40, 0xC9CE5748,
+    0x8C1F3C5C, 0xC9A0D1C4,
+    0x8C349F58, 0xC97354A3,
+    0x8C4A142F, 0xC945DFEC,
+    0x8C5F9ADD, 0xC91873A5,
+    0x8C753361, 0xC8EB0FD6,
+    0x8C8ADDB6, 0xC8BDB485,
+    0x8CA099D9, 0xC89061BA,
+    0x8CB667C7, 0xC863177B,
+    0x8CCC477D, 0xC835D5D0,
+    0x8CE238F6, 0xC8089CBF,
+    0x8CF83C30, 0xC7DB6C50,
+    0x8D0E5127, 0xC7AE4489,
+    0x8D2477D8, 0xC7812571,
+    0x8D3AB03F, 0xC7540F10,
+    0x8D50FA59, 0xC727016C,
+    0x8D675623, 0xC6F9FC8D,
+    0x8D7DC399, 0xC6CD0079,
+    0x8D9442B7, 0xC6A00D36,
+    0x8DAAD37B, 0xC67322CD,
+    0x8DC175E0, 0xC6464144,
+    0x8DD829E4, 0xC61968A2,
+    0x8DEEEF82, 0xC5EC98ED,
+    0x8E05C6B7, 0xC5BFD22E,
+    0x8E1CAF80, 0xC593146A,
+    0x8E33A9D9, 0xC5665FA8,
+    0x8E4AB5BF, 0xC539B3F0,
+    0x8E61D32D, 0xC50D1148,
+    0x8E790222, 0xC4E077B8,
+    0x8E904298, 0xC4B3E746,
+    0x8EA7948C, 0xC4875FF8,
+    0x8EBEF7FB, 0xC45AE1D7,
+    0x8ED66CE1, 0xC42E6CE8,
+    0x8EEDF33B, 0xC4020132,
+    0x8F058B04, 0xC3D59EBD,
+    0x8F1D343A, 0xC3A9458F,
+    0x8F34EED8, 0xC37CF5B0,
+    0x8F4CBADB, 0xC350AF25,
+    0x8F64983F, 0xC32471F6,
+    0x8F7C8701, 0xC2F83E2A,
+    0x8F94871D, 0xC2CC13C7,
+    0x8FAC988E, 0xC29FF2D4,
+    0x8FC4BB53, 0xC273DB58,
+    0x8FDCEF66, 0xC247CD5A,
+    0x8FF534C4, 0xC21BC8E0,
+    0x900D8B69, 0xC1EFCDF2,
+    0x9025F352, 0xC1C3DC96,
+    0x903E6C7A, 0xC197F4D3,
+    0x9056F6DF, 0xC16C16B0,
+    0x906F927B, 0xC1404233,
+    0x90883F4C, 0xC1147763,
+    0x90A0FD4E, 0xC0E8B648,
+    0x90B9CC7C, 0xC0BCFEE7,
+    0x90D2ACD3, 0xC0915147,
+    0x90EB9E50, 0xC065AD70,
+    0x9104A0ED, 0xC03A1368,
+    0x911DB4A8, 0xC00E8335,
+    0x9136D97D, 0xBFE2FCDF,
+    0x91500F67, 0xBFB7806C,
+    0x91695663, 0xBF8C0DE2,
+    0x9182AE6C, 0xBF60A54A,
+    0x919C1780, 0xBF3546A8,
+    0x91B5919A, 0xBF09F204,
+    0x91CF1CB6, 0xBEDEA765,
+    0x91E8B8D0, 0xBEB366D1,
+    0x920265E4, 0xBE88304F,
+    0x921C23EE, 0xBE5D03E5,
+    0x9235F2EB, 0xBE31E19B,
+    0x924FD2D6, 0xBE06C977,
+    0x9269C3AC, 0xBDDBBB7F,
+    0x9283C567, 0xBDB0B7BA,
+    0x929DD805, 0xBD85BE2F,
+    0x92B7FB82, 0xBD5ACEE5,
+    0x92D22FD8, 0xBD2FE9E1,
+    0x92EC7505, 0xBD050F2C,
+    0x9306CB04, 0xBCDA3ECA,
+    0x932131D1, 0xBCAF78C3,
+    0x933BA968, 0xBC84BD1E,
+    0x935631C5, 0xBC5A0BE1,
+    0x9370CAE4, 0xBC2F6513,
+    0x938B74C0, 0xBC04C8BA,
+    0x93A62F56, 0xBBDA36DC,
+    0x93C0FAA2, 0xBBAFAF81,
+    0x93DBD69F, 0xBB8532AF,
+    0x93F6C34A, 0xBB5AC06C,
+    0x9411C09D, 0xBB3058C0,
+    0x942CCE95, 0xBB05FBB0,
+    0x9447ED2F, 0xBADBA943,
+    0x94631C64, 0xBAB1617F,
+    0x947E5C32, 0xBA87246C,
+    0x9499AC95, 0xBA5CF210,
+    0x94B50D87, 0xBA32CA70,
+    0x94D07F05, 0xBA08AD94,
+    0x94EC010B, 0xB9DE9B83,
+    0x95079393, 0xB9B49442,
+    0x9523369B, 0xB98A97D8,
+    0x953EEA1E, 0xB960A64B,
+    0x955AAE17, 0xB936BFA3,
+    0x95768282, 0xB90CE3E6,
+    0x9592675B, 0xB8E31319,
+    0x95AE5C9E, 0xB8B94D44,
+    0x95CA6246, 0xB88F926C,
+    0x95E6784F, 0xB865E299,
+    0x96029EB5, 0xB83C3DD1,
+    0x961ED573, 0xB812A419,
+    0x963B1C85, 0xB7E9157A,
+    0x965773E7, 0xB7BF91F8,
+    0x9673DB94, 0xB796199B,
+    0x96905387, 0xB76CAC68,
+    0x96ACDBBD, 0xB7434A67,
+    0x96C97431, 0xB719F39D,
+    0x96E61CDF, 0xB6F0A811,
+    0x9702D5C2, 0xB6C767CA,
+    0x971F9ED6, 0xB69E32CD,
+    0x973C7816, 0xB6750921,
+    0x9759617E, 0xB64BEACC,
+    0x97765B0A, 0xB622D7D5,
+    0x979364B5, 0xB5F9D042,
+    0x97B07E7A, 0xB5D0D41A,
+    0x97CDA855, 0xB5A7E362,
+    0x97EAE241, 0xB57EFE21,
+    0x98082C3B, 0xB556245E,
+    0x9825863D, 0xB52D561E,
+    0x9842F043, 0xB5049368,
+    0x98606A48, 0xB4DBDC42,
+    0x987DF449, 0xB4B330B2,
+    0x989B8E3F, 0xB48A90C0,
+    0x98B93828, 0xB461FC70,
+    0x98D6F1FE, 0xB43973C9,
+    0x98F4BBBC, 0xB410F6D2,
+    0x9912955E, 0xB3E88591,
+    0x99307EE0, 0xB3C0200C,
+    0x994E783C, 0xB397C649,
+    0x996C816F, 0xB36F784E,
+    0x998A9A73, 0xB3473622,
+    0x99A8C344, 0xB31EFFCB,
+    0x99C6FBDE, 0xB2F6D54F,
+    0x99E5443A, 0xB2CEB6B5,
+    0x9A039C56, 0xB2A6A401,
+    0x9A22042C, 0xB27E9D3B,
+    0x9A407BB8, 0xB256A26A,
+    0x9A5F02F5, 0xB22EB392,
+    0x9A7D99DD, 0xB206D0BA,
+    0x9A9C406D, 0xB1DEF9E8,
+    0x9ABAF6A0, 0xB1B72F23,
+    0x9AD9BC71, 0xB18F7070,
+    0x9AF891DB, 0xB167BDD6,
+    0x9B1776D9, 0xB140175B,
+    0x9B366B67, 0xB1187D05,
+    0x9B556F80, 0xB0F0EEDA,
+    0x9B748320, 0xB0C96CDF,
+    0x9B93A640, 0xB0A1F71C,
+    0x9BB2D8DD, 0xB07A8D97,
+    0x9BD21AF2, 0xB0533055,
+    0x9BF16C7A, 0xB02BDF5C,
+    0x9C10CD70, 0xB0049AB2,
+    0x9C303DCF, 0xAFDD625F,
+    0x9C4FBD92, 0xAFB63667,
+    0x9C6F4CB5, 0xAF8F16D0,
+    0x9C8EEB33, 0xAF6803A1,
+    0x9CAE9907, 0xAF40FCE0,
+    0x9CCE562B, 0xAF1A0293,
+    0x9CEE229C, 0xAEF314BF,
+    0x9D0DFE53, 0xAECC336B,
+    0x9D2DE94D, 0xAEA55E9D,
+    0x9D4DE384, 0xAE7E965B,
+    0x9D6DECF4, 0xAE57DAAA,
+    0x9D8E0596, 0xAE312B91,
+    0x9DAE2D68, 0xAE0A8916,
+    0x9DCE6462, 0xADE3F33E,
+    0x9DEEAA82, 0xADBD6A10,
+    0x9E0EFFC1, 0xAD96ED91,
+    0x9E2F641A, 0xAD707DC8,
+    0x9E4FD789, 0xAD4A1ABA,
+    0x9E705A09, 0xAD23C46D,
+    0x9E90EB94, 0xACFD7AE8,
+    0x9EB18C26, 0xACD73E30,
+    0x9ED23BB9, 0xACB10E4A,
+    0x9EF2FA48, 0xAC8AEB3E,
+    0x9F13C7D0, 0xAC64D510,
+    0x9F34A449, 0xAC3ECBC7,
+    0x9F558FB0, 0xAC18CF68,
+    0x9F7689FF, 0xABF2DFFA,
+    0x9F979331, 0xABCCFD82,
+    0x9FB8AB41, 0xABA72806,
+    0x9FD9D22A, 0xAB815F8C,
+    0x9FFB07E7, 0xAB5BA41A,
+    0xA01C4C72, 0xAB35F5B5,
+    0xA03D9FC7, 0xAB105464,
+    0xA05F01E1, 0xAAEAC02B,
+    0xA08072BA, 0xAAC53912,
+    0xA0A1F24C, 0xAA9FBF1D,
+    0xA0C38094, 0xAA7A5253,
+    0xA0E51D8C, 0xAA54F2B9,
+    0xA106C92E, 0xAA2FA055,
+    0xA1288376, 0xAA0A5B2D,
+    0xA14A4C5E, 0xA9E52347,
+    0xA16C23E1, 0xA9BFF8A8,
+    0xA18E09F9, 0xA99ADB56,
+    0xA1AFFEA2, 0xA975CB56,
+    0xA1D201D7, 0xA950C8AF,
+    0xA1F41391, 0xA92BD366,
+    0xA21633CD, 0xA906EB81,
+    0xA2386283, 0xA8E21106,
+    0xA25A9FB1, 0xA8BD43FA,
+    0xA27CEB4F, 0xA8988463,
+    0xA29F4559, 0xA873D246,
+    0xA2C1ADC9, 0xA84F2DA9,
+    0xA2E4249A, 0xA82A9693,
+    0xA306A9C7, 0xA8060D08,
+    0xA3293D4B, 0xA7E1910E,
+    0xA34BDF20, 0xA7BD22AB,
+    0xA36E8F40, 0xA798C1E4,
+    0xA3914DA7, 0xA7746EC0,
+    0xA3B41A4F, 0xA7502943,
+    0xA3D6F533, 0xA72BF173,
+    0xA3F9DE4D, 0xA707C756,
+    0xA41CD598, 0xA6E3AAF2,
+    0xA43FDB0F, 0xA6BF9C4B,
+    0xA462EEAC, 0xA69B9B68,
+    0xA4861069, 0xA677A84E,
+    0xA4A94042, 0xA653C302,
+    0xA4CC7E31, 0xA62FEB8B,
+    0xA4EFCA31, 0xA60C21ED,
+    0xA513243B, 0xA5E8662F,
+    0xA5368C4B, 0xA5C4B855,
+    0xA55A025B, 0xA5A11865,
+    0xA57D8666, 0xA57D8666,
+    0xA5A11865, 0xA55A025B,
+    0xA5C4B855, 0xA5368C4B,
+    0xA5E8662F, 0xA513243B,
+    0xA60C21ED, 0xA4EFCA31,
+    0xA62FEB8B, 0xA4CC7E31,
+    0xA653C302, 0xA4A94042,
+    0xA677A84E, 0xA4861069,
+    0xA69B9B68, 0xA462EEAC,
+    0xA6BF9C4B, 0xA43FDB0F,
+    0xA6E3AAF2, 0xA41CD598,
+    0xA707C756, 0xA3F9DE4D,
+    0xA72BF173, 0xA3D6F533,
+    0xA7502943, 0xA3B41A4F,
+    0xA7746EC0, 0xA3914DA7,
+    0xA798C1E4, 0xA36E8F40,
+    0xA7BD22AB, 0xA34BDF20,
+    0xA7E1910E, 0xA3293D4B,
+    0xA8060D08, 0xA306A9C7,
+    0xA82A9693, 0xA2E4249A,
+    0xA84F2DA9, 0xA2C1ADC9,
+    0xA873D246, 0xA29F4559,
+    0xA8988463, 0xA27CEB4F,
+    0xA8BD43FA, 0xA25A9FB1,
+    0xA8E21106, 0xA2386283,
+    0xA906EB81, 0xA21633CD,
+    0xA92BD366, 0xA1F41391,
+    0xA950C8AF, 0xA1D201D7,
+    0xA975CB56, 0xA1AFFEA2,
+    0xA99ADB56, 0xA18E09F9,
+    0xA9BFF8A8, 0xA16C23E1,
+    0xA9E52347, 0xA14A4C5E,
+    0xAA0A5B2D, 0xA1288376,
+    0xAA2FA055, 0xA106C92E,
+    0xAA54F2B9, 0xA0E51D8C,
+    0xAA7A5253, 0xA0C38094,
+    0xAA9FBF1D, 0xA0A1F24C,
+    0xAAC53912, 0xA08072BA,
+    0xAAEAC02B, 0xA05F01E1,
+    0xAB105464, 0xA03D9FC7,
+    0xAB35F5B5, 0xA01C4C72,
+    0xAB5BA41A, 0x9FFB07E7,
+    0xAB815F8C, 0x9FD9D22A,
+    0xABA72806, 0x9FB8AB41,
+    0xABCCFD82, 0x9F979331,
+    0xABF2DFFA, 0x9F7689FF,
+    0xAC18CF68, 0x9F558FB0,
+    0xAC3ECBC7, 0x9F34A449,
+    0xAC64D510, 0x9F13C7D0,
+    0xAC8AEB3E, 0x9EF2FA48,
+    0xACB10E4A, 0x9ED23BB9,
+    0xACD73E30, 0x9EB18C26,
+    0xACFD7AE8, 0x9E90EB94,
+    0xAD23C46D, 0x9E705A09,
+    0xAD4A1ABA, 0x9E4FD789,
+    0xAD707DC8, 0x9E2F641A,
+    0xAD96ED91, 0x9E0EFFC1,
+    0xADBD6A10, 0x9DEEAA82,
+    0xADE3F33E, 0x9DCE6462,
+    0xAE0A8916, 0x9DAE2D68,
+    0xAE312B91, 0x9D8E0596,
+    0xAE57DAAA, 0x9D6DECF4,
+    0xAE7E965B, 0x9D4DE384,
+    0xAEA55E9D, 0x9D2DE94D,
+    0xAECC336B, 0x9D0DFE53,
+    0xAEF314BF, 0x9CEE229C,
+    0xAF1A0293, 0x9CCE562B,
+    0xAF40FCE0, 0x9CAE9907,
+    0xAF6803A1, 0x9C8EEB33,
+    0xAF8F16D0, 0x9C6F4CB5,
+    0xAFB63667, 0x9C4FBD92,
+    0xAFDD625F, 0x9C303DCF,
+    0xB0049AB2, 0x9C10CD70,
+    0xB02BDF5C, 0x9BF16C7A,
+    0xB0533055, 0x9BD21AF2,
+    0xB07A8D97, 0x9BB2D8DD,
+    0xB0A1F71C, 0x9B93A640,
+    0xB0C96CDF, 0x9B748320,
+    0xB0F0EEDA, 0x9B556F80,
+    0xB1187D05, 0x9B366B67,
+    0xB140175B, 0x9B1776D9,
+    0xB167BDD6, 0x9AF891DB,
+    0xB18F7070, 0x9AD9BC71,
+    0xB1B72F23, 0x9ABAF6A0,
+    0xB1DEF9E8, 0x9A9C406D,
+    0xB206D0BA, 0x9A7D99DD,
+    0xB22EB392, 0x9A5F02F5,
+    0xB256A26A, 0x9A407BB8,
+    0xB27E9D3B, 0x9A22042C,
+    0xB2A6A401, 0x9A039C56,
+    0xB2CEB6B5, 0x99E5443A,
+    0xB2F6D54F, 0x99C6FBDE,
+    0xB31EFFCB, 0x99A8C344,
+    0xB3473622, 0x998A9A73,
+    0xB36F784E, 0x996C816F,
+    0xB397C649, 0x994E783C,
+    0xB3C0200C, 0x99307EE0,
+    0xB3E88591, 0x9912955E,
+    0xB410F6D2, 0x98F4BBBC,
+    0xB43973C9, 0x98D6F1FE,
+    0xB461FC70, 0x98B93828,
+    0xB48A90C0, 0x989B8E3F,
+    0xB4B330B2, 0x987DF449,
+    0xB4DBDC42, 0x98606A48,
+    0xB5049368, 0x9842F043,
+    0xB52D561E, 0x9825863D,
+    0xB556245E, 0x98082C3B,
+    0xB57EFE21, 0x97EAE241,
+    0xB5A7E362, 0x97CDA855,
+    0xB5D0D41A, 0x97B07E7A,
+    0xB5F9D042, 0x979364B5,
+    0xB622D7D5, 0x97765B0A,
+    0xB64BEACC, 0x9759617E,
+    0xB6750921, 0x973C7816,
+    0xB69E32CD, 0x971F9ED6,
+    0xB6C767CA, 0x9702D5C2,
+    0xB6F0A811, 0x96E61CDF,
+    0xB719F39D, 0x96C97431,
+    0xB7434A67, 0x96ACDBBD,
+    0xB76CAC68, 0x96905387,
+    0xB796199B, 0x9673DB94,
+    0xB7BF91F8, 0x965773E7,
+    0xB7E9157A, 0x963B1C85,
+    0xB812A419, 0x961ED573,
+    0xB83C3DD1, 0x96029EB5,
+    0xB865E299, 0x95E6784F,
+    0xB88F926C, 0x95CA6246,
+    0xB8B94D44, 0x95AE5C9E,
+    0xB8E31319, 0x9592675B,
+    0xB90CE3E6, 0x95768282,
+    0xB936BFA3, 0x955AAE17,
+    0xB960A64B, 0x953EEA1E,
+    0xB98A97D8, 0x9523369B,
+    0xB9B49442, 0x95079393,
+    0xB9DE9B83, 0x94EC010B,
+    0xBA08AD94, 0x94D07F05,
+    0xBA32CA70, 0x94B50D87,
+    0xBA5CF210, 0x9499AC95,
+    0xBA87246C, 0x947E5C32,
+    0xBAB1617F, 0x94631C64,
+    0xBADBA943, 0x9447ED2F,
+    0xBB05FBB0, 0x942CCE95,
+    0xBB3058C0, 0x9411C09D,
+    0xBB5AC06C, 0x93F6C34A,
+    0xBB8532AF, 0x93DBD69F,
+    0xBBAFAF81, 0x93C0FAA2,
+    0xBBDA36DC, 0x93A62F56,
+    0xBC04C8BA, 0x938B74C0,
+    0xBC2F6513, 0x9370CAE4,
+    0xBC5A0BE1, 0x935631C5,
+    0xBC84BD1E, 0x933BA968,
+    0xBCAF78C3, 0x932131D1,
+    0xBCDA3ECA, 0x9306CB04,
+    0xBD050F2C, 0x92EC7505,
+    0xBD2FE9E1, 0x92D22FD8,
+    0xBD5ACEE5, 0x92B7FB82,
+    0xBD85BE2F, 0x929DD805,
+    0xBDB0B7BA, 0x9283C567,
+    0xBDDBBB7F, 0x9269C3AC,
+    0xBE06C977, 0x924FD2D6,
+    0xBE31E19B, 0x9235F2EB,
+    0xBE5D03E5, 0x921C23EE,
+    0xBE88304F, 0x920265E4,
+    0xBEB366D1, 0x91E8B8D0,
+    0xBEDEA765, 0x91CF1CB6,
+    0xBF09F204, 0x91B5919A,
+    0xBF3546A8, 0x919C1780,
+    0xBF60A54A, 0x9182AE6C,
+    0xBF8C0DE2, 0x91695663,
+    0xBFB7806C, 0x91500F67,
+    0xBFE2FCDF, 0x9136D97D,
+    0xC00E8335, 0x911DB4A8,
+    0xC03A1368, 0x9104A0ED,
+    0xC065AD70, 0x90EB9E50,
+    0xC0915147, 0x90D2ACD3,
+    0xC0BCFEE7, 0x90B9CC7C,
+    0xC0E8B648, 0x90A0FD4E,
+    0xC1147763, 0x90883F4C,
+    0xC1404233, 0x906F927B,
+    0xC16C16B0, 0x9056F6DF,
+    0xC197F4D3, 0x903E6C7A,
+    0xC1C3DC96, 0x9025F352,
+    0xC1EFCDF2, 0x900D8B69,
+    0xC21BC8E0, 0x8FF534C4,
+    0xC247CD5A, 0x8FDCEF66,
+    0xC273DB58, 0x8FC4BB53,
+    0xC29FF2D4, 0x8FAC988E,
+    0xC2CC13C7, 0x8F94871D,
+    0xC2F83E2A, 0x8F7C8701,
+    0xC32471F6, 0x8F64983F,
+    0xC350AF25, 0x8F4CBADB,
+    0xC37CF5B0, 0x8F34EED8,
+    0xC3A9458F, 0x8F1D343A,
+    0xC3D59EBD, 0x8F058B04,
+    0xC4020132, 0x8EEDF33B,
+    0xC42E6CE8, 0x8ED66CE1,
+    0xC45AE1D7, 0x8EBEF7FB,
+    0xC4875FF8, 0x8EA7948C,
+    0xC4B3E746, 0x8E904298,
+    0xC4E077B8, 0x8E790222,
+    0xC50D1148, 0x8E61D32D,
+    0xC539B3F0, 0x8E4AB5BF,
+    0xC5665FA8, 0x8E33A9D9,
+    0xC593146A, 0x8E1CAF80,
+    0xC5BFD22E, 0x8E05C6B7,
+    0xC5EC98ED, 0x8DEEEF82,
+    0xC61968A2, 0x8DD829E4,
+    0xC6464144, 0x8DC175E0,
+    0xC67322CD, 0x8DAAD37B,
+    0xC6A00D36, 0x8D9442B7,
+    0xC6CD0079, 0x8D7DC399,
+    0xC6F9FC8D, 0x8D675623,
+    0xC727016C, 0x8D50FA59,
+    0xC7540F10, 0x8D3AB03F,
+    0xC7812571, 0x8D2477D8,
+    0xC7AE4489, 0x8D0E5127,
+    0xC7DB6C50, 0x8CF83C30,
+    0xC8089CBF, 0x8CE238F6,
+    0xC835D5D0, 0x8CCC477D,
+    0xC863177B, 0x8CB667C7,
+    0xC89061BA, 0x8CA099D9,
+    0xC8BDB485, 0x8C8ADDB6,
+    0xC8EB0FD6, 0x8C753361,
+    0xC91873A5, 0x8C5F9ADD,
+    0xC945DFEC, 0x8C4A142F,
+    0xC97354A3, 0x8C349F58,
+    0xC9A0D1C4, 0x8C1F3C5C,
+    0xC9CE5748, 0x8C09EB40,
+    0xC9FBE527, 0x8BF4AC05,
+    0xCA297B5A, 0x8BDF7EAF,
+    0xCA5719DB, 0x8BCA6342,
+    0xCA84C0A2, 0x8BB559C1,
+    0xCAB26FA9, 0x8BA0622F,
+    0xCAE026E8, 0x8B8B7C8F,
+    0xCB0DE658, 0x8B76A8E4,
+    0xCB3BADF2, 0x8B61E732,
+    0xCB697DB0, 0x8B4D377C,
+    0xCB975589, 0x8B3899C5,
+    0xCBC53578, 0x8B240E10,
+    0xCBF31D75, 0x8B0F9461,
+    0xCC210D78, 0x8AFB2CBA,
+    0xCC4F057B, 0x8AE6D71F,
+    0xCC7D0577, 0x8AD29393,
+    0xCCAB0D65, 0x8ABE6219,
+    0xCCD91D3D, 0x8AAA42B4,
+    0xCD0734F8, 0x8A963567,
+    0xCD355490, 0x8A823A35,
+    0xCD637BFD, 0x8A6E5122,
+    0xCD91AB38, 0x8A5A7A30,
+    0xCDBFE23A, 0x8A46B563,
+    0xCDEE20FC, 0x8A3302BD,
+    0xCE1C6776, 0x8A1F6242,
+    0xCE4AB5A2, 0x8A0BD3F5,
+    0xCE790B78, 0x89F857D8,
+    0xCEA768F2, 0x89E4EDEE,
+    0xCED5CE08, 0x89D1963C,
+    0xCF043AB2, 0x89BE50C3,
+    0xCF32AEEB, 0x89AB1D86,
+    0xCF612AAA, 0x8997FC89,
+    0xCF8FADE8, 0x8984EDCF,
+    0xCFBE389F, 0x8971F15A,
+    0xCFECCAC7, 0x895F072D,
+    0xD01B6459, 0x894C2F4C,
+    0xD04A054D, 0x893969B9,
+    0xD078AD9D, 0x8926B677,
+    0xD0A75D42, 0x89141589,
+    0xD0D61433, 0x890186F1,
+    0xD104D26B, 0x88EF0AB4,
+    0xD13397E1, 0x88DCA0D3,
+    0xD162648F, 0x88CA4951,
+    0xD191386D, 0x88B80431,
+    0xD1C01374, 0x88A5D177,
+    0xD1EEF59E, 0x8893B124,
+    0xD21DDEE1, 0x8881A33C,
+    0xD24CCF38, 0x886FA7C2,
+    0xD27BC69C, 0x885DBEB7,
+    0xD2AAC504, 0x884BE820,
+    0xD2D9CA6A, 0x883A23FE,
+    0xD308D6C6, 0x88287255,
+    0xD337EA12, 0x8816D327,
+    0xD3670445, 0x88054677,
+    0xD3962559, 0x87F3CC47,
+    0xD3C54D46, 0x87E2649B,
+    0xD3F47C06, 0x87D10F75,
+    0xD423B190, 0x87BFCCD7,
+    0xD452EDDE, 0x87AE9CC5,
+    0xD48230E8, 0x879D7F40,
+    0xD4B17AA7, 0x878C744C,
+    0xD4E0CB14, 0x877B7BEC,
+    0xD5102227, 0x876A9621,
+    0xD53F7FDA, 0x8759C2EF,
+    0xD56EE424, 0x87490257,
+    0xD59E4EFE, 0x8738545E,
+    0xD5CDC062, 0x8727B904,
+    0xD5FD3847, 0x8717304E,
+    0xD62CB6A7, 0x8706BA3C,
+    0xD65C3B7B, 0x86F656D3,
+    0xD68BC6BA, 0x86E60614,
+    0xD6BB585D, 0x86D5C802,
+    0xD6EAF05E, 0x86C59C9F,
+    0xD71A8EB5, 0x86B583EE,
+    0xD74A335A, 0x86A57DF1,
+    0xD779DE46, 0x86958AAB,
+    0xD7A98F73, 0x8685AA1F,
+    0xD7D946D7, 0x8675DC4E,
+    0xD809046D, 0x8666213C,
+    0xD838C82D, 0x865678EA,
+    0xD868920F, 0x8646E35B,
+    0xD898620C, 0x86376092,
+    0xD8C8381C, 0x8627F090,
+    0xD8F81439, 0x86189359,
+    0xD927F65B, 0x860948EE,
+    0xD957DE7A, 0x85FA1152,
+    0xD987CC8F, 0x85EAEC88,
+    0xD9B7C093, 0x85DBDA91,
+    0xD9E7BA7E, 0x85CCDB70,
+    0xDA17BA4A, 0x85BDEF27,
+    0xDA47BFED, 0x85AF15B9,
+    0xDA77CB62, 0x85A04F28,
+    0xDAA7DCA1, 0x85919B75,
+    0xDAD7F3A2, 0x8582FAA4,
+    0xDB08105E, 0x85746CB7,
+    0xDB3832CD, 0x8565F1B0,
+    0xDB685AE8, 0x85578991,
+    0xDB9888A8, 0x8549345C,
+    0xDBC8BC05, 0x853AF214,
+    0xDBF8F4F8, 0x852CC2BA,
+    0xDC293379, 0x851EA652,
+    0xDC597781, 0x85109CDC,
+    0xDC89C108, 0x8502A65C,
+    0xDCBA1008, 0x84F4C2D3,
+    0xDCEA6478, 0x84E6F244,
+    0xDD1ABE51, 0x84D934B0,
+    0xDD4B1D8B, 0x84CB8A1B,
+    0xDD7B8220, 0x84BDF285,
+    0xDDABEC07, 0x84B06DF1,
+    0xDDDC5B3A, 0x84A2FC62,
+    0xDE0CCFB1, 0x84959DD9,
+    0xDE3D4963, 0x84885257,
+    0xDE6DC84B, 0x847B19E1,
+    0xDE9E4C60, 0x846DF476,
+    0xDECED59B, 0x8460E21A,
+    0xDEFF63F4, 0x8453E2CE,
+    0xDF2FF764, 0x8446F695,
+    0xDF608FE3, 0x843A1D70,
+    0xDF912D6A, 0x842D5761,
+    0xDFC1CFF2, 0x8420A46B,
+    0xDFF27773, 0x8414048F,
+    0xE02323E5, 0x840777CF,
+    0xE053D541, 0x83FAFE2E,
+    0xE0848B7F, 0x83EE97AC,
+    0xE0B54698, 0x83E2444D,
+    0xE0E60684, 0x83D60411,
+    0xE116CB3D, 0x83C9D6FB,
+    0xE14794B9, 0x83BDBD0D,
+    0xE17862F3, 0x83B1B649,
+    0xE1A935E1, 0x83A5C2B0,
+    0xE1DA0D7E, 0x8399E244,
+    0xE20AE9C1, 0x838E1507,
+    0xE23BCAA2, 0x83825AFB,
+    0xE26CB01A, 0x8376B422,
+    0xE29D9A22, 0x836B207D,
+    0xE2CE88B2, 0x835FA00E,
+    0xE2FF7BC3, 0x835432D8,
+    0xE330734C, 0x8348D8DB,
+    0xE3616F47, 0x833D921A,
+    0xE3926FAC, 0x83325E97,
+    0xE3C37473, 0x83273E52,
+    0xE3F47D95, 0x831C314E,
+    0xE4258B0A, 0x8311378C,
+    0xE4569CCB, 0x8306510F,
+    0xE487B2CF, 0x82FB7DD8,
+    0xE4B8CD10, 0x82F0BDE8,
+    0xE4E9EB86, 0x82E61141,
+    0xE51B0E2A, 0x82DB77E5,
+    0xE54C34F3, 0x82D0F1D5,
+    0xE57D5FDA, 0x82C67F13,
+    0xE5AE8ED8, 0x82BC1FA1,
+    0xE5DFC1E4, 0x82B1D381,
+    0xE610F8F9, 0x82A79AB3,
+    0xE642340D, 0x829D753A,
+    0xE6737319, 0x82936316,
+    0xE6A4B616, 0x8289644A,
+    0xE6D5FCFC, 0x827F78D8,
+    0xE70747C3, 0x8275A0C0,
+    0xE7389664, 0x826BDC04,
+    0xE769E8D8, 0x82622AA5,
+    0xE79B3F16, 0x82588CA6,
+    0xE7CC9917, 0x824F0208,
+    0xE7FDF6D3, 0x82458ACB,
+    0xE82F5844, 0x823C26F2,
+    0xE860BD60, 0x8232D67E,
+    0xE8922621, 0x82299971,
+    0xE8C3927F, 0x82206FCB,
+    0xE8F50273, 0x8217598F,
+    0xE92675F4, 0x820E56BE,
+    0xE957ECFB, 0x82056758,
+    0xE9896780, 0x81FC8B60,
+    0xE9BAE57C, 0x81F3C2D7,
+    0xE9EC66E8, 0x81EB0DBD,
+    0xEA1DEBBB, 0x81E26C16,
+    0xEA4F73EE, 0x81D9DDE1,
+    0xEA80FF79, 0x81D16320,
+    0xEAB28E55, 0x81C8FBD5,
+    0xEAE4207A, 0x81C0A801,
+    0xEB15B5E0, 0x81B867A4,
+    0xEB474E80, 0x81B03AC1,
+    0xEB78EA52, 0x81A82159,
+    0xEBAA894E, 0x81A01B6C,
+    0xEBDC2B6D, 0x819828FD,
+    0xEC0DD0A8, 0x81904A0C,
+    0xEC3F78F5, 0x81887E9A,
+    0xEC71244F, 0x8180C6A9,
+    0xECA2D2AC, 0x8179223A,
+    0xECD48406, 0x8171914E,
+    0xED063855, 0x816A13E6,
+    0xED37EF91, 0x8162AA03,
+    0xED69A9B2, 0x815B53A8,
+    0xED9B66B2, 0x815410D3,
+    0xEDCD2687, 0x814CE188,
+    0xEDFEE92B, 0x8145C5C6,
+    0xEE30AE95, 0x813EBD90,
+    0xEE6276BF, 0x8137C8E6,
+    0xEE9441A0, 0x8130E7C8,
+    0xEEC60F31, 0x812A1A39,
+    0xEEF7DF6A, 0x81236039,
+    0xEF29B243, 0x811CB9CA,
+    0xEF5B87B5, 0x811626EC,
+    0xEF8D5FB8, 0x810FA7A0,
+    0xEFBF3A44, 0x81093BE8,
+    0xEFF11752, 0x8102E3C3,
+    0xF022F6DA, 0x80FC9F35,
+    0xF054D8D4, 0x80F66E3C,
+    0xF086BD39, 0x80F050DB,
+    0xF0B8A401, 0x80EA4712,
+    0xF0EA8D23, 0x80E450E2,
+    0xF11C789A, 0x80DE6E4C,
+    0xF14E665C, 0x80D89F51,
+    0xF1805662, 0x80D2E3F1,
+    0xF1B248A5, 0x80CD3C2F,
+    0xF1E43D1C, 0x80C7A80A,
+    0xF21633C0, 0x80C22783,
+    0xF2482C89, 0x80BCBA9C,
+    0xF27A2770, 0x80B76155,
+    0xF2AC246D, 0x80B21BAF,
+    0xF2DE2378, 0x80ACE9AB,
+    0xF310248A, 0x80A7CB49,
+    0xF342279A, 0x80A2C08B,
+    0xF3742CA1, 0x809DC970,
+    0xF3A63398, 0x8098E5FB,
+    0xF3D83C76, 0x8094162B,
+    0xF40A4734, 0x808F5A02,
+    0xF43C53CA, 0x808AB180,
+    0xF46E6231, 0x80861CA5,
+    0xF4A07260, 0x80819B74,
+    0xF4D28451, 0x807D2DEB,
+    0xF50497FA, 0x8078D40D,
+    0xF536AD55, 0x80748DD9,
+    0xF568C45A, 0x80705B50,
+    0xF59ADD01, 0x806C3C73,
+    0xF5CCF743, 0x80683143,
+    0xF5FF1317, 0x806439C0,
+    0xF6313076, 0x806055EA,
+    0xF6634F58, 0x805C85C3,
+    0xF6956FB6, 0x8058C94C,
+    0xF6C79188, 0x80552083,
+    0xF6F9B4C5, 0x80518B6B,
+    0xF72BD967, 0x804E0A03,
+    0xF75DFF65, 0x804A9C4D,
+    0xF79026B8, 0x80474248,
+    0xF7C24F58, 0x8043FBF6,
+    0xF7F4793E, 0x8040C956,
+    0xF826A461, 0x803DAA69,
+    0xF858D0BA, 0x803A9F31,
+    0xF88AFE41, 0x8037A7AC,
+    0xF8BD2CEF, 0x8034C3DC,
+    0xF8EF5CBB, 0x8031F3C1,
+    0xF9218D9E, 0x802F375C,
+    0xF953BF90, 0x802C8EAD,
+    0xF985F28A, 0x8029F9B4,
+    0xF9B82683, 0x80277872,
+    0xF9EA5B75, 0x80250AE7,
+    0xFA1C9156, 0x8022B113,
+    0xFA4EC820, 0x80206AF8,
+    0xFA80FFCB, 0x801E3894,
+    0xFAB3384F, 0x801C19E9,
+    0xFAE571A4, 0x801A0EF7,
+    0xFB17ABC2, 0x801817BF,
+    0xFB49E6A2, 0x80163440,
+    0xFB7C223C, 0x8014647A,
+    0xFBAE5E89, 0x8012A86F,
+    0xFBE09B80, 0x8011001E,
+    0xFC12D919, 0x800F6B88,
+    0xFC45174E, 0x800DEAAC,
+    0xFC775616, 0x800C7D8C,
+    0xFCA99569, 0x800B2427,
+    0xFCDBD541, 0x8009DE7D,
+    0xFD0E1594, 0x8008AC90,
+    0xFD40565B, 0x80078E5E,
+    0xFD72978F, 0x800683E8,
+    0xFDA4D928, 0x80058D2E,
+    0xFDD71B1E, 0x8004AA31,
+    0xFE095D69, 0x8003DAF0,
+    0xFE3BA001, 0x80031F6C,
+    0xFE6DE2E0, 0x800277A5,
+    0xFEA025FC, 0x8001E39B,
+    0xFED2694F, 0x8001634D,
+    0xFF04ACD0, 0x8000F6BD,
+    0xFF36F078, 0x80009DE9,
+    0xFF69343E, 0x800058D3,
+    0xFF9B781D, 0x8000277A,
+    0xFFCDBC0A, 0x800009DE
+};
+
+
+
+/*    
+* @brief  q15 Twiddle factors Table    
+*/
+
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 16	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_16_q15[24] = {
+    0x7FFF, 0x0000,
+    0x7641, 0x30FB,
+    0x5A82, 0x5A82,
+    0x30FB, 0x7641,
+    0x0000, 0x7FFF,
+    0xCF04, 0x7641,
+    0xA57D, 0x5A82,
+    0x89BE, 0x30FB,
+    0x8000, 0x0000,
+    0x89BE, 0xCF04,
+    0xA57D, 0xA57D,
+    0xCF04, 0x89BE
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 32	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_32_q15[48] = {
+    0x7FFF, 0x0000,
+    0x7D8A, 0x18F8,
+    0x7641, 0x30FB,
+    0x6A6D, 0x471C,
+    0x5A82, 0x5A82,
+    0x471C, 0x6A6D,
+    0x30FB, 0x7641,
+    0x18F8, 0x7D8A,
+    0x0000, 0x7FFF,
+    0xE707, 0x7D8A,
+    0xCF04, 0x7641,
+    0xB8E3, 0x6A6D,
+    0xA57D, 0x5A82,
+    0x9592, 0x471C,
+    0x89BE, 0x30FB,
+    0x8275, 0x18F8,
+    0x8000, 0x0000,
+    0x8275, 0xE707,
+    0x89BE, 0xCF04,
+    0x9592, 0xB8E3,
+    0xA57D, 0xA57D,
+    0xB8E3, 0x9592,
+    0xCF04, 0x89BE,
+    0xE707, 0x8275
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 64	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_64_q15[96] = {
+    0x7FFF, 0x0000,
+    0x7F62, 0x0C8B,
+    0x7D8A, 0x18F8,
+    0x7A7D, 0x2528,
+    0x7641, 0x30FB,
+    0x70E2, 0x3C56,
+    0x6A6D, 0x471C,
+    0x62F2, 0x5133,
+    0x5A82, 0x5A82,
+    0x5133, 0x62F2,
+    0x471C, 0x6A6D,
+    0x3C56, 0x70E2,
+    0x30FB, 0x7641,
+    0x2528, 0x7A7D,
+    0x18F8, 0x7D8A,
+    0x0C8B, 0x7F62,
+    0x0000, 0x7FFF,
+    0xF374, 0x7F62,
+    0xE707, 0x7D8A,
+    0xDAD7, 0x7A7D,
+    0xCF04, 0x7641,
+    0xC3A9, 0x70E2,
+    0xB8E3, 0x6A6D,
+    0xAECC, 0x62F2,
+    0xA57D, 0x5A82,
+    0x9D0D, 0x5133,
+    0x9592, 0x471C,
+    0x8F1D, 0x3C56,
+    0x89BE, 0x30FB,
+    0x8582, 0x2528,
+    0x8275, 0x18F8,
+    0x809D, 0x0C8B,
+    0x8000, 0x0000,
+    0x809D, 0xF374,
+    0x8275, 0xE707,
+    0x8582, 0xDAD7,
+    0x89BE, 0xCF04,
+    0x8F1D, 0xC3A9,
+    0x9592, 0xB8E3,
+    0x9D0D, 0xAECC,
+    0xA57D, 0xA57D,
+    0xAECC, 0x9D0D,
+    0xB8E3, 0x9592,
+    0xC3A9, 0x8F1D,
+    0xCF04, 0x89BE,
+    0xDAD7, 0x8582,
+    0xE707, 0x8275,
+    0xF374, 0x809D
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 128	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_128_q15[192] = {
+    0x7FFF, 0x0000,
+    0x7FD8, 0x0647,
+    0x7F62, 0x0C8B,
+    0x7E9D, 0x12C8,
+    0x7D8A, 0x18F8,
+    0x7C29, 0x1F19,
+    0x7A7D, 0x2528,
+    0x7884, 0x2B1F,
+    0x7641, 0x30FB,
+    0x73B5, 0x36BA,
+    0x70E2, 0x3C56,
+    0x6DCA, 0x41CE,
+    0x6A6D, 0x471C,
+    0x66CF, 0x4C3F,
+    0x62F2, 0x5133,
+    0x5ED7, 0x55F5,
+    0x5A82, 0x5A82,
+    0x55F5, 0x5ED7,
+    0x5133, 0x62F2,
+    0x4C3F, 0x66CF,
+    0x471C, 0x6A6D,
+    0x41CE, 0x6DCA,
+    0x3C56, 0x70E2,
+    0x36BA, 0x73B5,
+    0x30FB, 0x7641,
+    0x2B1F, 0x7884,
+    0x2528, 0x7A7D,
+    0x1F19, 0x7C29,
+    0x18F8, 0x7D8A,
+    0x12C8, 0x7E9D,
+    0x0C8B, 0x7F62,
+    0x0647, 0x7FD8,
+    0x0000, 0x7FFF,
+    0xF9B8, 0x7FD8,
+    0xF374, 0x7F62,
+    0xED37, 0x7E9D,
+    0xE707, 0x7D8A,
+    0xE0E6, 0x7C29,
+    0xDAD7, 0x7A7D,
+    0xD4E0, 0x7884,
+    0xCF04, 0x7641,
+    0xC945, 0x73B5,
+    0xC3A9, 0x70E2,
+    0xBE31, 0x6DCA,
+    0xB8E3, 0x6A6D,
+    0xB3C0, 0x66CF,
+    0xAECC, 0x62F2,
+    0xAA0A, 0x5ED7,
+    0xA57D, 0x5A82,
+    0xA128, 0x55F5,
+    0x9D0D, 0x5133,
+    0x9930, 0x4C3F,
+    0x9592, 0x471C,
+    0x9235, 0x41CE,
+    0x8F1D, 0x3C56,
+    0x8C4A, 0x36BA,
+    0x89BE, 0x30FB,
+    0x877B, 0x2B1F,
+    0x8582, 0x2528,
+    0x83D6, 0x1F19,
+    0x8275, 0x18F8,
+    0x8162, 0x12C8,
+    0x809D, 0x0C8B,
+    0x8027, 0x0647,
+    0x8000, 0x0000,
+    0x8027, 0xF9B8,
+    0x809D, 0xF374,
+    0x8162, 0xED37,
+    0x8275, 0xE707,
+    0x83D6, 0xE0E6,
+    0x8582, 0xDAD7,
+    0x877B, 0xD4E0,
+    0x89BE, 0xCF04,
+    0x8C4A, 0xC945,
+    0x8F1D, 0xC3A9,
+    0x9235, 0xBE31,
+    0x9592, 0xB8E3,
+    0x9930, 0xB3C0,
+    0x9D0D, 0xAECC,
+    0xA128, 0xAA0A,
+    0xA57D, 0xA57D,
+    0xAA0A, 0xA128,
+    0xAECC, 0x9D0D,
+    0xB3C0, 0x9930,
+    0xB8E3, 0x9592,
+    0xBE31, 0x9235,
+    0xC3A9, 0x8F1D,
+    0xC945, 0x8C4A,
+    0xCF04, 0x89BE,
+    0xD4E0, 0x877B,
+    0xDAD7, 0x8582,
+    0xE0E6, 0x83D6,
+    0xE707, 0x8275,
+    0xED37, 0x8162,
+    0xF374, 0x809D,
+    0xF9B8, 0x8027
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 256	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_256_q15[384] = {
+    0x7FFF, 0x0000,
+    0x7FF6, 0x0324,
+    0x7FD8, 0x0647,
+    0x7FA7, 0x096A,
+    0x7F62, 0x0C8B,
+    0x7F09, 0x0FAB,
+    0x7E9D, 0x12C8,
+    0x7E1D, 0x15E2,
+    0x7D8A, 0x18F8,
+    0x7CE3, 0x1C0B,
+    0x7C29, 0x1F19,
+    0x7B5D, 0x2223,
+    0x7A7D, 0x2528,
+    0x798A, 0x2826,
+    0x7884, 0x2B1F,
+    0x776C, 0x2E11,
+    0x7641, 0x30FB,
+    0x7504, 0x33DE,
+    0x73B5, 0x36BA,
+    0x7255, 0x398C,
+    0x70E2, 0x3C56,
+    0x6F5F, 0x3F17,
+    0x6DCA, 0x41CE,
+    0x6C24, 0x447A,
+    0x6A6D, 0x471C,
+    0x68A6, 0x49B4,
+    0x66CF, 0x4C3F,
+    0x64E8, 0x4EBF,
+    0x62F2, 0x5133,
+    0x60EC, 0x539B,
+    0x5ED7, 0x55F5,
+    0x5CB4, 0x5842,
+    0x5A82, 0x5A82,
+    0x5842, 0x5CB4,
+    0x55F5, 0x5ED7,
+    0x539B, 0x60EC,
+    0x5133, 0x62F2,
+    0x4EBF, 0x64E8,
+    0x4C3F, 0x66CF,
+    0x49B4, 0x68A6,
+    0x471C, 0x6A6D,
+    0x447A, 0x6C24,
+    0x41CE, 0x6DCA,
+    0x3F17, 0x6F5F,
+    0x3C56, 0x70E2,
+    0x398C, 0x7255,
+    0x36BA, 0x73B5,
+    0x33DE, 0x7504,
+    0x30FB, 0x7641,
+    0x2E11, 0x776C,
+    0x2B1F, 0x7884,
+    0x2826, 0x798A,
+    0x2528, 0x7A7D,
+    0x2223, 0x7B5D,
+    0x1F19, 0x7C29,
+    0x1C0B, 0x7CE3,
+    0x18F8, 0x7D8A,
+    0x15E2, 0x7E1D,
+    0x12C8, 0x7E9D,
+    0x0FAB, 0x7F09,
+    0x0C8B, 0x7F62,
+    0x096A, 0x7FA7,
+    0x0647, 0x7FD8,
+    0x0324, 0x7FF6,
+    0x0000, 0x7FFF,
+    0xFCDB, 0x7FF6,
+    0xF9B8, 0x7FD8,
+    0xF695, 0x7FA7,
+    0xF374, 0x7F62,
+    0xF054, 0x7F09,
+    0xED37, 0x7E9D,
+    0xEA1D, 0x7E1D,
+    0xE707, 0x7D8A,
+    0xE3F4, 0x7CE3,
+    0xE0E6, 0x7C29,
+    0xDDDC, 0x7B5D,
+    0xDAD7, 0x7A7D,
+    0xD7D9, 0x798A,
+    0xD4E0, 0x7884,
+    0xD1EE, 0x776C,
+    0xCF04, 0x7641,
+    0xCC21, 0x7504,
+    0xC945, 0x73B5,
+    0xC673, 0x7255,
+    0xC3A9, 0x70E2,
+    0xC0E8, 0x6F5F,
+    0xBE31, 0x6DCA,
+    0xBB85, 0x6C24,
+    0xB8E3, 0x6A6D,
+    0xB64B, 0x68A6,
+    0xB3C0, 0x66CF,
+    0xB140, 0x64E8,
+    0xAECC, 0x62F2,
+    0xAC64, 0x60EC,
+    0xAA0A, 0x5ED7,
+    0xA7BD, 0x5CB4,
+    0xA57D, 0x5A82,
+    0xA34B, 0x5842,
+    0xA128, 0x55F5,
+    0x9F13, 0x539B,
+    0x9D0D, 0x5133,
+    0x9B17, 0x4EBF,
+    0x9930, 0x4C3F,
+    0x9759, 0x49B4,
+    0x9592, 0x471C,
+    0x93DB, 0x447A,
+    0x9235, 0x41CE,
+    0x90A0, 0x3F17,
+    0x8F1D, 0x3C56,
+    0x8DAA, 0x398C,
+    0x8C4A, 0x36BA,
+    0x8AFB, 0x33DE,
+    0x89BE, 0x30FB,
+    0x8893, 0x2E11,
+    0x877B, 0x2B1F,
+    0x8675, 0x2826,
+    0x8582, 0x2528,
+    0x84A2, 0x2223,
+    0x83D6, 0x1F19,
+    0x831C, 0x1C0B,
+    0x8275, 0x18F8,
+    0x81E2, 0x15E2,
+    0x8162, 0x12C8,
+    0x80F6, 0x0FAB,
+    0x809D, 0x0C8B,
+    0x8058, 0x096A,
+    0x8027, 0x0647,
+    0x8009, 0x0324,
+    0x8000, 0x0000,
+    0x8009, 0xFCDB,
+    0x8027, 0xF9B8,
+    0x8058, 0xF695,
+    0x809D, 0xF374,
+    0x80F6, 0xF054,
+    0x8162, 0xED37,
+    0x81E2, 0xEA1D,
+    0x8275, 0xE707,
+    0x831C, 0xE3F4,
+    0x83D6, 0xE0E6,
+    0x84A2, 0xDDDC,
+    0x8582, 0xDAD7,
+    0x8675, 0xD7D9,
+    0x877B, 0xD4E0,
+    0x8893, 0xD1EE,
+    0x89BE, 0xCF04,
+    0x8AFB, 0xCC21,
+    0x8C4A, 0xC945,
+    0x8DAA, 0xC673,
+    0x8F1D, 0xC3A9,
+    0x90A0, 0xC0E8,
+    0x9235, 0xBE31,
+    0x93DB, 0xBB85,
+    0x9592, 0xB8E3,
+    0x9759, 0xB64B,
+    0x9930, 0xB3C0,
+    0x9B17, 0xB140,
+    0x9D0D, 0xAECC,
+    0x9F13, 0xAC64,
+    0xA128, 0xAA0A,
+    0xA34B, 0xA7BD,
+    0xA57D, 0xA57D,
+    0xA7BD, 0xA34B,
+    0xAA0A, 0xA128,
+    0xAC64, 0x9F13,
+    0xAECC, 0x9D0D,
+    0xB140, 0x9B17,
+    0xB3C0, 0x9930,
+    0xB64B, 0x9759,
+    0xB8E3, 0x9592,
+    0xBB85, 0x93DB,
+    0xBE31, 0x9235,
+    0xC0E8, 0x90A0,
+    0xC3A9, 0x8F1D,
+    0xC673, 0x8DAA,
+    0xC945, 0x8C4A,
+    0xCC21, 0x8AFB,
+    0xCF04, 0x89BE,
+    0xD1EE, 0x8893,
+    0xD4E0, 0x877B,
+    0xD7D9, 0x8675,
+    0xDAD7, 0x8582,
+    0xDDDC, 0x84A2,
+    0xE0E6, 0x83D6,
+    0xE3F4, 0x831C,
+    0xE707, 0x8275,
+    0xEA1D, 0x81E2,
+    0xED37, 0x8162,
+    0xF054, 0x80F6,
+    0xF374, 0x809D,
+    0xF695, 0x8058,
+    0xF9B8, 0x8027,
+    0xFCDB, 0x8009
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 512	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_512_q15[768] = {
+    0x7FFF, 0x0000,
+    0x7FFD, 0x0192,
+    0x7FF6, 0x0324,
+    0x7FE9, 0x04B6,
+    0x7FD8, 0x0647,
+    0x7FC2, 0x07D9,
+    0x7FA7, 0x096A,
+    0x7F87, 0x0AFB,
+    0x7F62, 0x0C8B,
+    0x7F38, 0x0E1B,
+    0x7F09, 0x0FAB,
+    0x7ED5, 0x1139,
+    0x7E9D, 0x12C8,
+    0x7E5F, 0x1455,
+    0x7E1D, 0x15E2,
+    0x7DD6, 0x176D,
+    0x7D8A, 0x18F8,
+    0x7D39, 0x1A82,
+    0x7CE3, 0x1C0B,
+    0x7C89, 0x1D93,
+    0x7C29, 0x1F19,
+    0x7BC5, 0x209F,
+    0x7B5D, 0x2223,
+    0x7AEF, 0x23A6,
+    0x7A7D, 0x2528,
+    0x7A05, 0x26A8,
+    0x798A, 0x2826,
+    0x7909, 0x29A3,
+    0x7884, 0x2B1F,
+    0x77FA, 0x2C98,
+    0x776C, 0x2E11,
+    0x76D9, 0x2F87,
+    0x7641, 0x30FB,
+    0x75A5, 0x326E,
+    0x7504, 0x33DE,
+    0x745F, 0x354D,
+    0x73B5, 0x36BA,
+    0x7307, 0x3824,
+    0x7255, 0x398C,
+    0x719E, 0x3AF2,
+    0x70E2, 0x3C56,
+    0x7023, 0x3DB8,
+    0x6F5F, 0x3F17,
+    0x6E96, 0x4073,
+    0x6DCA, 0x41CE,
+    0x6CF9, 0x4325,
+    0x6C24, 0x447A,
+    0x6B4A, 0x45CD,
+    0x6A6D, 0x471C,
+    0x698C, 0x4869,
+    0x68A6, 0x49B4,
+    0x67BD, 0x4AFB,
+    0x66CF, 0x4C3F,
+    0x65DD, 0x4D81,
+    0x64E8, 0x4EBF,
+    0x63EF, 0x4FFB,
+    0x62F2, 0x5133,
+    0x61F1, 0x5269,
+    0x60EC, 0x539B,
+    0x5FE3, 0x54CA,
+    0x5ED7, 0x55F5,
+    0x5DC7, 0x571D,
+    0x5CB4, 0x5842,
+    0x5B9D, 0x5964,
+    0x5A82, 0x5A82,
+    0x5964, 0x5B9D,
+    0x5842, 0x5CB4,
+    0x571D, 0x5DC7,
+    0x55F5, 0x5ED7,
+    0x54CA, 0x5FE3,
+    0x539B, 0x60EC,
+    0x5269, 0x61F1,
+    0x5133, 0x62F2,
+    0x4FFB, 0x63EF,
+    0x4EBF, 0x64E8,
+    0x4D81, 0x65DD,
+    0x4C3F, 0x66CF,
+    0x4AFB, 0x67BD,
+    0x49B4, 0x68A6,
+    0x4869, 0x698C,
+    0x471C, 0x6A6D,
+    0x45CD, 0x6B4A,
+    0x447A, 0x6C24,
+    0x4325, 0x6CF9,
+    0x41CE, 0x6DCA,
+    0x4073, 0x6E96,
+    0x3F17, 0x6F5F,
+    0x3DB8, 0x7023,
+    0x3C56, 0x70E2,
+    0x3AF2, 0x719E,
+    0x398C, 0x7255,
+    0x3824, 0x7307,
+    0x36BA, 0x73B5,
+    0x354D, 0x745F,
+    0x33DE, 0x7504,
+    0x326E, 0x75A5,
+    0x30FB, 0x7641,
+    0x2F87, 0x76D9,
+    0x2E11, 0x776C,
+    0x2C98, 0x77FA,
+    0x2B1F, 0x7884,
+    0x29A3, 0x7909,
+    0x2826, 0x798A,
+    0x26A8, 0x7A05,
+    0x2528, 0x7A7D,
+    0x23A6, 0x7AEF,
+    0x2223, 0x7B5D,
+    0x209F, 0x7BC5,
+    0x1F19, 0x7C29,
+    0x1D93, 0x7C89,
+    0x1C0B, 0x7CE3,
+    0x1A82, 0x7D39,
+    0x18F8, 0x7D8A,
+    0x176D, 0x7DD6,
+    0x15E2, 0x7E1D,
+    0x1455, 0x7E5F,
+    0x12C8, 0x7E9D,
+    0x1139, 0x7ED5,
+    0x0FAB, 0x7F09,
+    0x0E1B, 0x7F38,
+    0x0C8B, 0x7F62,
+    0x0AFB, 0x7F87,
+    0x096A, 0x7FA7,
+    0x07D9, 0x7FC2,
+    0x0647, 0x7FD8,
+    0x04B6, 0x7FE9,
+    0x0324, 0x7FF6,
+    0x0192, 0x7FFD,
+    0x0000, 0x7FFF,
+    0xFE6D, 0x7FFD,
+    0xFCDB, 0x7FF6,
+    0xFB49, 0x7FE9,
+    0xF9B8, 0x7FD8,
+    0xF826, 0x7FC2,
+    0xF695, 0x7FA7,
+    0xF504, 0x7F87,
+    0xF374, 0x7F62,
+    0xF1E4, 0x7F38,
+    0xF054, 0x7F09,
+    0xEEC6, 0x7ED5,
+    0xED37, 0x7E9D,
+    0xEBAA, 0x7E5F,
+    0xEA1D, 0x7E1D,
+    0xE892, 0x7DD6,
+    0xE707, 0x7D8A,
+    0xE57D, 0x7D39,
+    0xE3F4, 0x7CE3,
+    0xE26C, 0x7C89,
+    0xE0E6, 0x7C29,
+    0xDF60, 0x7BC5,
+    0xDDDC, 0x7B5D,
+    0xDC59, 0x7AEF,
+    0xDAD7, 0x7A7D,
+    0xD957, 0x7A05,
+    0xD7D9, 0x798A,
+    0xD65C, 0x7909,
+    0xD4E0, 0x7884,
+    0xD367, 0x77FA,
+    0xD1EE, 0x776C,
+    0xD078, 0x76D9,
+    0xCF04, 0x7641,
+    0xCD91, 0x75A5,
+    0xCC21, 0x7504,
+    0xCAB2, 0x745F,
+    0xC945, 0x73B5,
+    0xC7DB, 0x7307,
+    0xC673, 0x7255,
+    0xC50D, 0x719E,
+    0xC3A9, 0x70E2,
+    0xC247, 0x7023,
+    0xC0E8, 0x6F5F,
+    0xBF8C, 0x6E96,
+    0xBE31, 0x6DCA,
+    0xBCDA, 0x6CF9,
+    0xBB85, 0x6C24,
+    0xBA32, 0x6B4A,
+    0xB8E3, 0x6A6D,
+    0xB796, 0x698C,
+    0xB64B, 0x68A6,
+    0xB504, 0x67BD,
+    0xB3C0, 0x66CF,
+    0xB27E, 0x65DD,
+    0xB140, 0x64E8,
+    0xB004, 0x63EF,
+    0xAECC, 0x62F2,
+    0xAD96, 0x61F1,
+    0xAC64, 0x60EC,
+    0xAB35, 0x5FE3,
+    0xAA0A, 0x5ED7,
+    0xA8E2, 0x5DC7,
+    0xA7BD, 0x5CB4,
+    0xA69B, 0x5B9D,
+    0xA57D, 0x5A82,
+    0xA462, 0x5964,
+    0xA34B, 0x5842,
+    0xA238, 0x571D,
+    0xA128, 0x55F5,
+    0xA01C, 0x54CA,
+    0x9F13, 0x539B,
+    0x9E0E, 0x5269,
+    0x9D0D, 0x5133,
+    0x9C10, 0x4FFB,
+    0x9B17, 0x4EBF,
+    0x9A22, 0x4D81,
+    0x9930, 0x4C3F,
+    0x9842, 0x4AFB,
+    0x9759, 0x49B4,
+    0x9673, 0x4869,
+    0x9592, 0x471C,
+    0x94B5, 0x45CD,
+    0x93DB, 0x447A,
+    0x9306, 0x4325,
+    0x9235, 0x41CE,
+    0x9169, 0x4073,
+    0x90A0, 0x3F17,
+    0x8FDC, 0x3DB8,
+    0x8F1D, 0x3C56,
+    0x8E61, 0x3AF2,
+    0x8DAA, 0x398C,
+    0x8CF8, 0x3824,
+    0x8C4A, 0x36BA,
+    0x8BA0, 0x354D,
+    0x8AFB, 0x33DE,
+    0x8A5A, 0x326E,
+    0x89BE, 0x30FB,
+    0x8926, 0x2F87,
+    0x8893, 0x2E11,
+    0x8805, 0x2C98,
+    0x877B, 0x2B1F,
+    0x86F6, 0x29A3,
+    0x8675, 0x2826,
+    0x85FA, 0x26A8,
+    0x8582, 0x2528,
+    0x8510, 0x23A6,
+    0x84A2, 0x2223,
+    0x843A, 0x209F,
+    0x83D6, 0x1F19,
+    0x8376, 0x1D93,
+    0x831C, 0x1C0B,
+    0x82C6, 0x1A82,
+    0x8275, 0x18F8,
+    0x8229, 0x176D,
+    0x81E2, 0x15E2,
+    0x81A0, 0x1455,
+    0x8162, 0x12C8,
+    0x812A, 0x1139,
+    0x80F6, 0x0FAB,
+    0x80C7, 0x0E1B,
+    0x809D, 0x0C8B,
+    0x8078, 0x0AFB,
+    0x8058, 0x096A,
+    0x803D, 0x07D9,
+    0x8027, 0x0647,
+    0x8016, 0x04B6,
+    0x8009, 0x0324,
+    0x8002, 0x0192,
+    0x8000, 0x0000,
+    0x8002, 0xFE6D,
+    0x8009, 0xFCDB,
+    0x8016, 0xFB49,
+    0x8027, 0xF9B8,
+    0x803D, 0xF826,
+    0x8058, 0xF695,
+    0x8078, 0xF504,
+    0x809D, 0xF374,
+    0x80C7, 0xF1E4,
+    0x80F6, 0xF054,
+    0x812A, 0xEEC6,
+    0x8162, 0xED37,
+    0x81A0, 0xEBAA,
+    0x81E2, 0xEA1D,
+    0x8229, 0xE892,
+    0x8275, 0xE707,
+    0x82C6, 0xE57D,
+    0x831C, 0xE3F4,
+    0x8376, 0xE26C,
+    0x83D6, 0xE0E6,
+    0x843A, 0xDF60,
+    0x84A2, 0xDDDC,
+    0x8510, 0xDC59,
+    0x8582, 0xDAD7,
+    0x85FA, 0xD957,
+    0x8675, 0xD7D9,
+    0x86F6, 0xD65C,
+    0x877B, 0xD4E0,
+    0x8805, 0xD367,
+    0x8893, 0xD1EE,
+    0x8926, 0xD078,
+    0x89BE, 0xCF04,
+    0x8A5A, 0xCD91,
+    0x8AFB, 0xCC21,
+    0x8BA0, 0xCAB2,
+    0x8C4A, 0xC945,
+    0x8CF8, 0xC7DB,
+    0x8DAA, 0xC673,
+    0x8E61, 0xC50D,
+    0x8F1D, 0xC3A9,
+    0x8FDC, 0xC247,
+    0x90A0, 0xC0E8,
+    0x9169, 0xBF8C,
+    0x9235, 0xBE31,
+    0x9306, 0xBCDA,
+    0x93DB, 0xBB85,
+    0x94B5, 0xBA32,
+    0x9592, 0xB8E3,
+    0x9673, 0xB796,
+    0x9759, 0xB64B,
+    0x9842, 0xB504,
+    0x9930, 0xB3C0,
+    0x9A22, 0xB27E,
+    0x9B17, 0xB140,
+    0x9C10, 0xB004,
+    0x9D0D, 0xAECC,
+    0x9E0E, 0xAD96,
+    0x9F13, 0xAC64,
+    0xA01C, 0xAB35,
+    0xA128, 0xAA0A,
+    0xA238, 0xA8E2,
+    0xA34B, 0xA7BD,
+    0xA462, 0xA69B,
+    0xA57D, 0xA57D,
+    0xA69B, 0xA462,
+    0xA7BD, 0xA34B,
+    0xA8E2, 0xA238,
+    0xAA0A, 0xA128,
+    0xAB35, 0xA01C,
+    0xAC64, 0x9F13,
+    0xAD96, 0x9E0E,
+    0xAECC, 0x9D0D,
+    0xB004, 0x9C10,
+    0xB140, 0x9B17,
+    0xB27E, 0x9A22,
+    0xB3C0, 0x9930,
+    0xB504, 0x9842,
+    0xB64B, 0x9759,
+    0xB796, 0x9673,
+    0xB8E3, 0x9592,
+    0xBA32, 0x94B5,
+    0xBB85, 0x93DB,
+    0xBCDA, 0x9306,
+    0xBE31, 0x9235,
+    0xBF8C, 0x9169,
+    0xC0E8, 0x90A0,
+    0xC247, 0x8FDC,
+    0xC3A9, 0x8F1D,
+    0xC50D, 0x8E61,
+    0xC673, 0x8DAA,
+    0xC7DB, 0x8CF8,
+    0xC945, 0x8C4A,
+    0xCAB2, 0x8BA0,
+    0xCC21, 0x8AFB,
+    0xCD91, 0x8A5A,
+    0xCF04, 0x89BE,
+    0xD078, 0x8926,
+    0xD1EE, 0x8893,
+    0xD367, 0x8805,
+    0xD4E0, 0x877B,
+    0xD65C, 0x86F6,
+    0xD7D9, 0x8675,
+    0xD957, 0x85FA,
+    0xDAD7, 0x8582,
+    0xDC59, 0x8510,
+    0xDDDC, 0x84A2,
+    0xDF60, 0x843A,
+    0xE0E6, 0x83D6,
+    0xE26C, 0x8376,
+    0xE3F4, 0x831C,
+    0xE57D, 0x82C6,
+    0xE707, 0x8275,
+    0xE892, 0x8229,
+    0xEA1D, 0x81E2,
+    0xEBAA, 0x81A0,
+    0xED37, 0x8162,
+    0xEEC6, 0x812A,
+    0xF054, 0x80F6,
+    0xF1E4, 0x80C7,
+    0xF374, 0x809D,
+    0xF504, 0x8078,
+    0xF695, 0x8058,
+    0xF826, 0x803D,
+    0xF9B8, 0x8027,
+    0xFB49, 0x8016,
+    0xFCDB, 0x8009,
+    0xFE6D, 0x8002
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 1024	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_1024_q15[1536] = {
+    0x7FFF, 0x0000,
+    0x7FFF, 0x00C9,
+    0x7FFD, 0x0192,
+    0x7FFA, 0x025B,
+    0x7FF6, 0x0324,
+    0x7FF0, 0x03ED,
+    0x7FE9, 0x04B6,
+    0x7FE1, 0x057F,
+    0x7FD8, 0x0647,
+    0x7FCE, 0x0710,
+    0x7FC2, 0x07D9,
+    0x7FB5, 0x08A2,
+    0x7FA7, 0x096A,
+    0x7F97, 0x0A33,
+    0x7F87, 0x0AFB,
+    0x7F75, 0x0BC3,
+    0x7F62, 0x0C8B,
+    0x7F4D, 0x0D53,
+    0x7F38, 0x0E1B,
+    0x7F21, 0x0EE3,
+    0x7F09, 0x0FAB,
+    0x7EF0, 0x1072,
+    0x7ED5, 0x1139,
+    0x7EBA, 0x1201,
+    0x7E9D, 0x12C8,
+    0x7E7F, 0x138E,
+    0x7E5F, 0x1455,
+    0x7E3F, 0x151B,
+    0x7E1D, 0x15E2,
+    0x7DFA, 0x16A8,
+    0x7DD6, 0x176D,
+    0x7DB0, 0x1833,
+    0x7D8A, 0x18F8,
+    0x7D62, 0x19BD,
+    0x7D39, 0x1A82,
+    0x7D0F, 0x1B47,
+    0x7CE3, 0x1C0B,
+    0x7CB7, 0x1CCF,
+    0x7C89, 0x1D93,
+    0x7C5A, 0x1E56,
+    0x7C29, 0x1F19,
+    0x7BF8, 0x1FDC,
+    0x7BC5, 0x209F,
+    0x7B92, 0x2161,
+    0x7B5D, 0x2223,
+    0x7B26, 0x22E5,
+    0x7AEF, 0x23A6,
+    0x7AB6, 0x2467,
+    0x7A7D, 0x2528,
+    0x7A42, 0x25E8,
+    0x7A05, 0x26A8,
+    0x79C8, 0x2767,
+    0x798A, 0x2826,
+    0x794A, 0x28E5,
+    0x7909, 0x29A3,
+    0x78C7, 0x2A61,
+    0x7884, 0x2B1F,
+    0x7840, 0x2BDC,
+    0x77FA, 0x2C98,
+    0x77B4, 0x2D55,
+    0x776C, 0x2E11,
+    0x7723, 0x2ECC,
+    0x76D9, 0x2F87,
+    0x768E, 0x3041,
+    0x7641, 0x30FB,
+    0x75F4, 0x31B5,
+    0x75A5, 0x326E,
+    0x7555, 0x3326,
+    0x7504, 0x33DE,
+    0x74B2, 0x3496,
+    0x745F, 0x354D,
+    0x740B, 0x3604,
+    0x73B5, 0x36BA,
+    0x735F, 0x376F,
+    0x7307, 0x3824,
+    0x72AF, 0x38D8,
+    0x7255, 0x398C,
+    0x71FA, 0x3A40,
+    0x719E, 0x3AF2,
+    0x7141, 0x3BA5,
+    0x70E2, 0x3C56,
+    0x7083, 0x3D07,
+    0x7023, 0x3DB8,
+    0x6FC1, 0x3E68,
+    0x6F5F, 0x3F17,
+    0x6EFB, 0x3FC5,
+    0x6E96, 0x4073,
+    0x6E30, 0x4121,
+    0x6DCA, 0x41CE,
+    0x6D62, 0x427A,
+    0x6CF9, 0x4325,
+    0x6C8F, 0x43D0,
+    0x6C24, 0x447A,
+    0x6BB8, 0x4524,
+    0x6B4A, 0x45CD,
+    0x6ADC, 0x4675,
+    0x6A6D, 0x471C,
+    0x69FD, 0x47C3,
+    0x698C, 0x4869,
+    0x6919, 0x490F,
+    0x68A6, 0x49B4,
+    0x6832, 0x4A58,
+    0x67BD, 0x4AFB,
+    0x6746, 0x4B9E,
+    0x66CF, 0x4C3F,
+    0x6657, 0x4CE1,
+    0x65DD, 0x4D81,
+    0x6563, 0x4E21,
+    0x64E8, 0x4EBF,
+    0x646C, 0x4F5E,
+    0x63EF, 0x4FFB,
+    0x6371, 0x5097,
+    0x62F2, 0x5133,
+    0x6271, 0x51CE,
+    0x61F1, 0x5269,
+    0x616F, 0x5302,
+    0x60EC, 0x539B,
+    0x6068, 0x5433,
+    0x5FE3, 0x54CA,
+    0x5F5E, 0x5560,
+    0x5ED7, 0x55F5,
+    0x5E50, 0x568A,
+    0x5DC7, 0x571D,
+    0x5D3E, 0x57B0,
+    0x5CB4, 0x5842,
+    0x5C29, 0x58D4,
+    0x5B9D, 0x5964,
+    0x5B10, 0x59F3,
+    0x5A82, 0x5A82,
+    0x59F3, 0x5B10,
+    0x5964, 0x5B9D,
+    0x58D4, 0x5C29,
+    0x5842, 0x5CB4,
+    0x57B0, 0x5D3E,
+    0x571D, 0x5DC7,
+    0x568A, 0x5E50,
+    0x55F5, 0x5ED7,
+    0x5560, 0x5F5E,
+    0x54CA, 0x5FE3,
+    0x5433, 0x6068,
+    0x539B, 0x60EC,
+    0x5302, 0x616F,
+    0x5269, 0x61F1,
+    0x51CE, 0x6271,
+    0x5133, 0x62F2,
+    0x5097, 0x6371,
+    0x4FFB, 0x63EF,
+    0x4F5E, 0x646C,
+    0x4EBF, 0x64E8,
+    0x4E21, 0x6563,
+    0x4D81, 0x65DD,
+    0x4CE1, 0x6657,
+    0x4C3F, 0x66CF,
+    0x4B9E, 0x6746,
+    0x4AFB, 0x67BD,
+    0x4A58, 0x6832,
+    0x49B4, 0x68A6,
+    0x490F, 0x6919,
+    0x4869, 0x698C,
+    0x47C3, 0x69FD,
+    0x471C, 0x6A6D,
+    0x4675, 0x6ADC,
+    0x45CD, 0x6B4A,
+    0x4524, 0x6BB8,
+    0x447A, 0x6C24,
+    0x43D0, 0x6C8F,
+    0x4325, 0x6CF9,
+    0x427A, 0x6D62,
+    0x41CE, 0x6DCA,
+    0x4121, 0x6E30,
+    0x4073, 0x6E96,
+    0x3FC5, 0x6EFB,
+    0x3F17, 0x6F5F,
+    0x3E68, 0x6FC1,
+    0x3DB8, 0x7023,
+    0x3D07, 0x7083,
+    0x3C56, 0x70E2,
+    0x3BA5, 0x7141,
+    0x3AF2, 0x719E,
+    0x3A40, 0x71FA,
+    0x398C, 0x7255,
+    0x38D8, 0x72AF,
+    0x3824, 0x7307,
+    0x376F, 0x735F,
+    0x36BA, 0x73B5,
+    0x3604, 0x740B,
+    0x354D, 0x745F,
+    0x3496, 0x74B2,
+    0x33DE, 0x7504,
+    0x3326, 0x7555,
+    0x326E, 0x75A5,
+    0x31B5, 0x75F4,
+    0x30FB, 0x7641,
+    0x3041, 0x768E,
+    0x2F87, 0x76D9,
+    0x2ECC, 0x7723,
+    0x2E11, 0x776C,
+    0x2D55, 0x77B4,
+    0x2C98, 0x77FA,
+    0x2BDC, 0x7840,
+    0x2B1F, 0x7884,
+    0x2A61, 0x78C7,
+    0x29A3, 0x7909,
+    0x28E5, 0x794A,
+    0x2826, 0x798A,
+    0x2767, 0x79C8,
+    0x26A8, 0x7A05,
+    0x25E8, 0x7A42,
+    0x2528, 0x7A7D,
+    0x2467, 0x7AB6,
+    0x23A6, 0x7AEF,
+    0x22E5, 0x7B26,
+    0x2223, 0x7B5D,
+    0x2161, 0x7B92,
+    0x209F, 0x7BC5,
+    0x1FDC, 0x7BF8,
+    0x1F19, 0x7C29,
+    0x1E56, 0x7C5A,
+    0x1D93, 0x7C89,
+    0x1CCF, 0x7CB7,
+    0x1C0B, 0x7CE3,
+    0x1B47, 0x7D0F,
+    0x1A82, 0x7D39,
+    0x19BD, 0x7D62,
+    0x18F8, 0x7D8A,
+    0x1833, 0x7DB0,
+    0x176D, 0x7DD6,
+    0x16A8, 0x7DFA,
+    0x15E2, 0x7E1D,
+    0x151B, 0x7E3F,
+    0x1455, 0x7E5F,
+    0x138E, 0x7E7F,
+    0x12C8, 0x7E9D,
+    0x1201, 0x7EBA,
+    0x1139, 0x7ED5,
+    0x1072, 0x7EF0,
+    0x0FAB, 0x7F09,
+    0x0EE3, 0x7F21,
+    0x0E1B, 0x7F38,
+    0x0D53, 0x7F4D,
+    0x0C8B, 0x7F62,
+    0x0BC3, 0x7F75,
+    0x0AFB, 0x7F87,
+    0x0A33, 0x7F97,
+    0x096A, 0x7FA7,
+    0x08A2, 0x7FB5,
+    0x07D9, 0x7FC2,
+    0x0710, 0x7FCE,
+    0x0647, 0x7FD8,
+    0x057F, 0x7FE1,
+    0x04B6, 0x7FE9,
+    0x03ED, 0x7FF0,
+    0x0324, 0x7FF6,
+    0x025B, 0x7FFA,
+    0x0192, 0x7FFD,
+    0x00C9, 0x7FFF,
+    0x0000, 0x7FFF,
+    0xFF36, 0x7FFF,
+    0xFE6D, 0x7FFD,
+    0xFDA4, 0x7FFA,
+    0xFCDB, 0x7FF6,
+    0xFC12, 0x7FF0,
+    0xFB49, 0x7FE9,
+    0xFA80, 0x7FE1,
+    0xF9B8, 0x7FD8,
+    0xF8EF, 0x7FCE,
+    0xF826, 0x7FC2,
+    0xF75D, 0x7FB5,
+    0xF695, 0x7FA7,
+    0xF5CC, 0x7F97,
+    0xF504, 0x7F87,
+    0xF43C, 0x7F75,
+    0xF374, 0x7F62,
+    0xF2AC, 0x7F4D,
+    0xF1E4, 0x7F38,
+    0xF11C, 0x7F21,
+    0xF054, 0x7F09,
+    0xEF8D, 0x7EF0,
+    0xEEC6, 0x7ED5,
+    0xEDFE, 0x7EBA,
+    0xED37, 0x7E9D,
+    0xEC71, 0x7E7F,
+    0xEBAA, 0x7E5F,
+    0xEAE4, 0x7E3F,
+    0xEA1D, 0x7E1D,
+    0xE957, 0x7DFA,
+    0xE892, 0x7DD6,
+    0xE7CC, 0x7DB0,
+    0xE707, 0x7D8A,
+    0xE642, 0x7D62,
+    0xE57D, 0x7D39,
+    0xE4B8, 0x7D0F,
+    0xE3F4, 0x7CE3,
+    0xE330, 0x7CB7,
+    0xE26C, 0x7C89,
+    0xE1A9, 0x7C5A,
+    0xE0E6, 0x7C29,
+    0xE023, 0x7BF8,
+    0xDF60, 0x7BC5,
+    0xDE9E, 0x7B92,
+    0xDDDC, 0x7B5D,
+    0xDD1A, 0x7B26,
+    0xDC59, 0x7AEF,
+    0xDB98, 0x7AB6,
+    0xDAD7, 0x7A7D,
+    0xDA17, 0x7A42,
+    0xD957, 0x7A05,
+    0xD898, 0x79C8,
+    0xD7D9, 0x798A,
+    0xD71A, 0x794A,
+    0xD65C, 0x7909,
+    0xD59E, 0x78C7,
+    0xD4E0, 0x7884,
+    0xD423, 0x7840,
+    0xD367, 0x77FA,
+    0xD2AA, 0x77B4,
+    0xD1EE, 0x776C,
+    0xD133, 0x7723,
+    0xD078, 0x76D9,
+    0xCFBE, 0x768E,
+    0xCF04, 0x7641,
+    0xCE4A, 0x75F4,
+    0xCD91, 0x75A5,
+    0xCCD9, 0x7555,
+    0xCC21, 0x7504,
+    0xCB69, 0x74B2,
+    0xCAB2, 0x745F,
+    0xC9FB, 0x740B,
+    0xC945, 0x73B5,
+    0xC890, 0x735F,
+    0xC7DB, 0x7307,
+    0xC727, 0x72AF,
+    0xC673, 0x7255,
+    0xC5BF, 0x71FA,
+    0xC50D, 0x719E,
+    0xC45A, 0x7141,
+    0xC3A9, 0x70E2,
+    0xC2F8, 0x7083,
+    0xC247, 0x7023,
+    0xC197, 0x6FC1,
+    0xC0E8, 0x6F5F,
+    0xC03A, 0x6EFB,
+    0xBF8C, 0x6E96,
+    0xBEDE, 0x6E30,
+    0xBE31, 0x6DCA,
+    0xBD85, 0x6D62,
+    0xBCDA, 0x6CF9,
+    0xBC2F, 0x6C8F,
+    0xBB85, 0x6C24,
+    0xBADB, 0x6BB8,
+    0xBA32, 0x6B4A,
+    0xB98A, 0x6ADC,
+    0xB8E3, 0x6A6D,
+    0xB83C, 0x69FD,
+    0xB796, 0x698C,
+    0xB6F0, 0x6919,
+    0xB64B, 0x68A6,
+    0xB5A7, 0x6832,
+    0xB504, 0x67BD,
+    0xB461, 0x6746,
+    0xB3C0, 0x66CF,
+    0xB31E, 0x6657,
+    0xB27E, 0x65DD,
+    0xB1DE, 0x6563,
+    0xB140, 0x64E8,
+    0xB0A1, 0x646C,
+    0xB004, 0x63EF,
+    0xAF68, 0x6371,
+    0xAECC, 0x62F2,
+    0xAE31, 0x6271,
+    0xAD96, 0x61F1,
+    0xACFD, 0x616F,
+    0xAC64, 0x60EC,
+    0xABCC, 0x6068,
+    0xAB35, 0x5FE3,
+    0xAA9F, 0x5F5E,
+    0xAA0A, 0x5ED7,
+    0xA975, 0x5E50,
+    0xA8E2, 0x5DC7,
+    0xA84F, 0x5D3E,
+    0xA7BD, 0x5CB4,
+    0xA72B, 0x5C29,
+    0xA69B, 0x5B9D,
+    0xA60C, 0x5B10,
+    0xA57D, 0x5A82,
+    0xA4EF, 0x59F3,
+    0xA462, 0x5964,
+    0xA3D6, 0x58D4,
+    0xA34B, 0x5842,
+    0xA2C1, 0x57B0,
+    0xA238, 0x571D,
+    0xA1AF, 0x568A,
+    0xA128, 0x55F5,
+    0xA0A1, 0x5560,
+    0xA01C, 0x54CA,
+    0x9F97, 0x5433,
+    0x9F13, 0x539B,
+    0x9E90, 0x5302,
+    0x9E0E, 0x5269,
+    0x9D8E, 0x51CE,
+    0x9D0D, 0x5133,
+    0x9C8E, 0x5097,
+    0x9C10, 0x4FFB,
+    0x9B93, 0x4F5E,
+    0x9B17, 0x4EBF,
+    0x9A9C, 0x4E21,
+    0x9A22, 0x4D81,
+    0x99A8, 0x4CE1,
+    0x9930, 0x4C3F,
+    0x98B9, 0x4B9E,
+    0x9842, 0x4AFB,
+    0x97CD, 0x4A58,
+    0x9759, 0x49B4,
+    0x96E6, 0x490F,
+    0x9673, 0x4869,
+    0x9602, 0x47C3,
+    0x9592, 0x471C,
+    0x9523, 0x4675,
+    0x94B5, 0x45CD,
+    0x9447, 0x4524,
+    0x93DB, 0x447A,
+    0x9370, 0x43D0,
+    0x9306, 0x4325,
+    0x929D, 0x427A,
+    0x9235, 0x41CE,
+    0x91CF, 0x4121,
+    0x9169, 0x4073,
+    0x9104, 0x3FC5,
+    0x90A0, 0x3F17,
+    0x903E, 0x3E68,
+    0x8FDC, 0x3DB8,
+    0x8F7C, 0x3D07,
+    0x8F1D, 0x3C56,
+    0x8EBE, 0x3BA5,
+    0x8E61, 0x3AF2,
+    0x8E05, 0x3A40,
+    0x8DAA, 0x398C,
+    0x8D50, 0x38D8,
+    0x8CF8, 0x3824,
+    0x8CA0, 0x376F,
+    0x8C4A, 0x36BA,
+    0x8BF4, 0x3604,
+    0x8BA0, 0x354D,
+    0x8B4D, 0x3496,
+    0x8AFB, 0x33DE,
+    0x8AAA, 0x3326,
+    0x8A5A, 0x326E,
+    0x8A0B, 0x31B5,
+    0x89BE, 0x30FB,
+    0x8971, 0x3041,
+    0x8926, 0x2F87,
+    0x88DC, 0x2ECC,
+    0x8893, 0x2E11,
+    0x884B, 0x2D55,
+    0x8805, 0x2C98,
+    0x87BF, 0x2BDC,
+    0x877B, 0x2B1F,
+    0x8738, 0x2A61,
+    0x86F6, 0x29A3,
+    0x86B5, 0x28E5,
+    0x8675, 0x2826,
+    0x8637, 0x2767,
+    0x85FA, 0x26A8,
+    0x85BD, 0x25E8,
+    0x8582, 0x2528,
+    0x8549, 0x2467,
+    0x8510, 0x23A6,
+    0x84D9, 0x22E5,
+    0x84A2, 0x2223,
+    0x846D, 0x2161,
+    0x843A, 0x209F,
+    0x8407, 0x1FDC,
+    0x83D6, 0x1F19,
+    0x83A5, 0x1E56,
+    0x8376, 0x1D93,
+    0x8348, 0x1CCF,
+    0x831C, 0x1C0B,
+    0x82F0, 0x1B47,
+    0x82C6, 0x1A82,
+    0x829D, 0x19BD,
+    0x8275, 0x18F8,
+    0x824F, 0x1833,
+    0x8229, 0x176D,
+    0x8205, 0x16A8,
+    0x81E2, 0x15E2,
+    0x81C0, 0x151B,
+    0x81A0, 0x1455,
+    0x8180, 0x138E,
+    0x8162, 0x12C8,
+    0x8145, 0x1201,
+    0x812A, 0x1139,
+    0x810F, 0x1072,
+    0x80F6, 0x0FAB,
+    0x80DE, 0x0EE3,
+    0x80C7, 0x0E1B,
+    0x80B2, 0x0D53,
+    0x809D, 0x0C8B,
+    0x808A, 0x0BC3,
+    0x8078, 0x0AFB,
+    0x8068, 0x0A33,
+    0x8058, 0x096A,
+    0x804A, 0x08A2,
+    0x803D, 0x07D9,
+    0x8031, 0x0710,
+    0x8027, 0x0647,
+    0x801E, 0x057F,
+    0x8016, 0x04B6,
+    0x800F, 0x03ED,
+    0x8009, 0x0324,
+    0x8005, 0x025B,
+    0x8002, 0x0192,
+    0x8000, 0x00C9,
+    0x8000, 0x0000,
+    0x8000, 0xFF36,
+    0x8002, 0xFE6D,
+    0x8005, 0xFDA4,
+    0x8009, 0xFCDB,
+    0x800F, 0xFC12,
+    0x8016, 0xFB49,
+    0x801E, 0xFA80,
+    0x8027, 0xF9B8,
+    0x8031, 0xF8EF,
+    0x803D, 0xF826,
+    0x804A, 0xF75D,
+    0x8058, 0xF695,
+    0x8068, 0xF5CC,
+    0x8078, 0xF504,
+    0x808A, 0xF43C,
+    0x809D, 0xF374,
+    0x80B2, 0xF2AC,
+    0x80C7, 0xF1E4,
+    0x80DE, 0xF11C,
+    0x80F6, 0xF054,
+    0x810F, 0xEF8D,
+    0x812A, 0xEEC6,
+    0x8145, 0xEDFE,
+    0x8162, 0xED37,
+    0x8180, 0xEC71,
+    0x81A0, 0xEBAA,
+    0x81C0, 0xEAE4,
+    0x81E2, 0xEA1D,
+    0x8205, 0xE957,
+    0x8229, 0xE892,
+    0x824F, 0xE7CC,
+    0x8275, 0xE707,
+    0x829D, 0xE642,
+    0x82C6, 0xE57D,
+    0x82F0, 0xE4B8,
+    0x831C, 0xE3F4,
+    0x8348, 0xE330,
+    0x8376, 0xE26C,
+    0x83A5, 0xE1A9,
+    0x83D6, 0xE0E6,
+    0x8407, 0xE023,
+    0x843A, 0xDF60,
+    0x846D, 0xDE9E,
+    0x84A2, 0xDDDC,
+    0x84D9, 0xDD1A,
+    0x8510, 0xDC59,
+    0x8549, 0xDB98,
+    0x8582, 0xDAD7,
+    0x85BD, 0xDA17,
+    0x85FA, 0xD957,
+    0x8637, 0xD898,
+    0x8675, 0xD7D9,
+    0x86B5, 0xD71A,
+    0x86F6, 0xD65C,
+    0x8738, 0xD59E,
+    0x877B, 0xD4E0,
+    0x87BF, 0xD423,
+    0x8805, 0xD367,
+    0x884B, 0xD2AA,
+    0x8893, 0xD1EE,
+    0x88DC, 0xD133,
+    0x8926, 0xD078,
+    0x8971, 0xCFBE,
+    0x89BE, 0xCF04,
+    0x8A0B, 0xCE4A,
+    0x8A5A, 0xCD91,
+    0x8AAA, 0xCCD9,
+    0x8AFB, 0xCC21,
+    0x8B4D, 0xCB69,
+    0x8BA0, 0xCAB2,
+    0x8BF4, 0xC9FB,
+    0x8C4A, 0xC945,
+    0x8CA0, 0xC890,
+    0x8CF8, 0xC7DB,
+    0x8D50, 0xC727,
+    0x8DAA, 0xC673,
+    0x8E05, 0xC5BF,
+    0x8E61, 0xC50D,
+    0x8EBE, 0xC45A,
+    0x8F1D, 0xC3A9,
+    0x8F7C, 0xC2F8,
+    0x8FDC, 0xC247,
+    0x903E, 0xC197,
+    0x90A0, 0xC0E8,
+    0x9104, 0xC03A,
+    0x9169, 0xBF8C,
+    0x91CF, 0xBEDE,
+    0x9235, 0xBE31,
+    0x929D, 0xBD85,
+    0x9306, 0xBCDA,
+    0x9370, 0xBC2F,
+    0x93DB, 0xBB85,
+    0x9447, 0xBADB,
+    0x94B5, 0xBA32,
+    0x9523, 0xB98A,
+    0x9592, 0xB8E3,
+    0x9602, 0xB83C,
+    0x9673, 0xB796,
+    0x96E6, 0xB6F0,
+    0x9759, 0xB64B,
+    0x97CD, 0xB5A7,
+    0x9842, 0xB504,
+    0x98B9, 0xB461,
+    0x9930, 0xB3C0,
+    0x99A8, 0xB31E,
+    0x9A22, 0xB27E,
+    0x9A9C, 0xB1DE,
+    0x9B17, 0xB140,
+    0x9B93, 0xB0A1,
+    0x9C10, 0xB004,
+    0x9C8E, 0xAF68,
+    0x9D0D, 0xAECC,
+    0x9D8E, 0xAE31,
+    0x9E0E, 0xAD96,
+    0x9E90, 0xACFD,
+    0x9F13, 0xAC64,
+    0x9F97, 0xABCC,
+    0xA01C, 0xAB35,
+    0xA0A1, 0xAA9F,
+    0xA128, 0xAA0A,
+    0xA1AF, 0xA975,
+    0xA238, 0xA8E2,
+    0xA2C1, 0xA84F,
+    0xA34B, 0xA7BD,
+    0xA3D6, 0xA72B,
+    0xA462, 0xA69B,
+    0xA4EF, 0xA60C,
+    0xA57D, 0xA57D,
+    0xA60C, 0xA4EF,
+    0xA69B, 0xA462,
+    0xA72B, 0xA3D6,
+    0xA7BD, 0xA34B,
+    0xA84F, 0xA2C1,
+    0xA8E2, 0xA238,
+    0xA975, 0xA1AF,
+    0xAA0A, 0xA128,
+    0xAA9F, 0xA0A1,
+    0xAB35, 0xA01C,
+    0xABCC, 0x9F97,
+    0xAC64, 0x9F13,
+    0xACFD, 0x9E90,
+    0xAD96, 0x9E0E,
+    0xAE31, 0x9D8E,
+    0xAECC, 0x9D0D,
+    0xAF68, 0x9C8E,
+    0xB004, 0x9C10,
+    0xB0A1, 0x9B93,
+    0xB140, 0x9B17,
+    0xB1DE, 0x9A9C,
+    0xB27E, 0x9A22,
+    0xB31E, 0x99A8,
+    0xB3C0, 0x9930,
+    0xB461, 0x98B9,
+    0xB504, 0x9842,
+    0xB5A7, 0x97CD,
+    0xB64B, 0x9759,
+    0xB6F0, 0x96E6,
+    0xB796, 0x9673,
+    0xB83C, 0x9602,
+    0xB8E3, 0x9592,
+    0xB98A, 0x9523,
+    0xBA32, 0x94B5,
+    0xBADB, 0x9447,
+    0xBB85, 0x93DB,
+    0xBC2F, 0x9370,
+    0xBCDA, 0x9306,
+    0xBD85, 0x929D,
+    0xBE31, 0x9235,
+    0xBEDE, 0x91CF,
+    0xBF8C, 0x9169,
+    0xC03A, 0x9104,
+    0xC0E8, 0x90A0,
+    0xC197, 0x903E,
+    0xC247, 0x8FDC,
+    0xC2F8, 0x8F7C,
+    0xC3A9, 0x8F1D,
+    0xC45A, 0x8EBE,
+    0xC50D, 0x8E61,
+    0xC5BF, 0x8E05,
+    0xC673, 0x8DAA,
+    0xC727, 0x8D50,
+    0xC7DB, 0x8CF8,
+    0xC890, 0x8CA0,
+    0xC945, 0x8C4A,
+    0xC9FB, 0x8BF4,
+    0xCAB2, 0x8BA0,
+    0xCB69, 0x8B4D,
+    0xCC21, 0x8AFB,
+    0xCCD9, 0x8AAA,
+    0xCD91, 0x8A5A,
+    0xCE4A, 0x8A0B,
+    0xCF04, 0x89BE,
+    0xCFBE, 0x8971,
+    0xD078, 0x8926,
+    0xD133, 0x88DC,
+    0xD1EE, 0x8893,
+    0xD2AA, 0x884B,
+    0xD367, 0x8805,
+    0xD423, 0x87BF,
+    0xD4E0, 0x877B,
+    0xD59E, 0x8738,
+    0xD65C, 0x86F6,
+    0xD71A, 0x86B5,
+    0xD7D9, 0x8675,
+    0xD898, 0x8637,
+    0xD957, 0x85FA,
+    0xDA17, 0x85BD,
+    0xDAD7, 0x8582,
+    0xDB98, 0x8549,
+    0xDC59, 0x8510,
+    0xDD1A, 0x84D9,
+    0xDDDC, 0x84A2,
+    0xDE9E, 0x846D,
+    0xDF60, 0x843A,
+    0xE023, 0x8407,
+    0xE0E6, 0x83D6,
+    0xE1A9, 0x83A5,
+    0xE26C, 0x8376,
+    0xE330, 0x8348,
+    0xE3F4, 0x831C,
+    0xE4B8, 0x82F0,
+    0xE57D, 0x82C6,
+    0xE642, 0x829D,
+    0xE707, 0x8275,
+    0xE7CC, 0x824F,
+    0xE892, 0x8229,
+    0xE957, 0x8205,
+    0xEA1D, 0x81E2,
+    0xEAE4, 0x81C0,
+    0xEBAA, 0x81A0,
+    0xEC71, 0x8180,
+    0xED37, 0x8162,
+    0xEDFE, 0x8145,
+    0xEEC6, 0x812A,
+    0xEF8D, 0x810F,
+    0xF054, 0x80F6,
+    0xF11C, 0x80DE,
+    0xF1E4, 0x80C7,
+    0xF2AC, 0x80B2,
+    0xF374, 0x809D,
+    0xF43C, 0x808A,
+    0xF504, 0x8078,
+    0xF5CC, 0x8068,
+    0xF695, 0x8058,
+    0xF75D, 0x804A,
+    0xF826, 0x803D,
+    0xF8EF, 0x8031,
+    0xF9B8, 0x8027,
+    0xFA80, 0x801E,
+    0xFB49, 0x8016,
+    0xFC12, 0x800F,
+    0xFCDB, 0x8009,
+    0xFDA4, 0x8005,
+    0xFE6D, 0x8002,
+    0xFF36, 0x8000
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 2048	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_2048_q15[3072] = {
+    0x7FFF, 0x0000,
+    0x7FFF, 0x0064,
+    0x7FFF, 0x00C9,
+    0x7FFE, 0x012D,
+    0x7FFD, 0x0192,
+    0x7FFC, 0x01F6,
+    0x7FFA, 0x025B,
+    0x7FF8, 0x02BF,
+    0x7FF6, 0x0324,
+    0x7FF3, 0x0388,
+    0x7FF0, 0x03ED,
+    0x7FED, 0x0451,
+    0x7FE9, 0x04B6,
+    0x7FE5, 0x051A,
+    0x7FE1, 0x057F,
+    0x7FDD, 0x05E3,
+    0x7FD8, 0x0647,
+    0x7FD3, 0x06AC,
+    0x7FCE, 0x0710,
+    0x7FC8, 0x0775,
+    0x7FC2, 0x07D9,
+    0x7FBC, 0x083D,
+    0x7FB5, 0x08A2,
+    0x7FAE, 0x0906,
+    0x7FA7, 0x096A,
+    0x7F9F, 0x09CE,
+    0x7F97, 0x0A33,
+    0x7F8F, 0x0A97,
+    0x7F87, 0x0AFB,
+    0x7F7E, 0x0B5F,
+    0x7F75, 0x0BC3,
+    0x7F6B, 0x0C27,
+    0x7F62, 0x0C8B,
+    0x7F58, 0x0CEF,
+    0x7F4D, 0x0D53,
+    0x7F43, 0x0DB7,
+    0x7F38, 0x0E1B,
+    0x7F2D, 0x0E7F,
+    0x7F21, 0x0EE3,
+    0x7F15, 0x0F47,
+    0x7F09, 0x0FAB,
+    0x7EFD, 0x100E,
+    0x7EF0, 0x1072,
+    0x7EE3, 0x10D6,
+    0x7ED5, 0x1139,
+    0x7EC8, 0x119D,
+    0x7EBA, 0x1201,
+    0x7EAB, 0x1264,
+    0x7E9D, 0x12C8,
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+    0x7CE3, 0x1C0B,
+    0x7CCD, 0x1C6D,
+    0x7CB7, 0x1CCF,
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+    0x7C71, 0x1DF5,
+    0x7C5A, 0x1E56,
+    0x7C42, 0x1EB8,
+    0x7C29, 0x1F19,
+    0x7C11, 0x1F7B,
+    0x7BF8, 0x1FDC,
+    0x7BDF, 0x203E,
+    0x7BC5, 0x209F,
+    0x7BAC, 0x2100,
+    0x7B92, 0x2161,
+    0x7B77, 0x21C2,
+    0x7B5D, 0x2223,
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+    0x7A05, 0x26A8,
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+    0x79A9, 0x27C7,
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+    0x796A, 0x2886,
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+    0x792A, 0x2944,
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+    0x78E8, 0x2A02,
+    0x78C7, 0x2A61,
+    0x78A6, 0x2AC0,
+    0x7884, 0x2B1F,
+    0x7862, 0x2B7D,
+    0x7840, 0x2BDC,
+    0x781D, 0x2C3A,
+    0x77FA, 0x2C98,
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+    0x7790, 0x2DB3,
+    0x776C, 0x2E11,
+    0x7747, 0x2E6E,
+    0x7723, 0x2ECC,
+    0x76FE, 0x2F29,
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+    0x76B3, 0x2FE4,
+    0x768E, 0x3041,
+    0x7668, 0x309E,
+    0x7641, 0x30FB,
+    0x761B, 0x3158,
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+    0x75A5, 0x326E,
+    0x757D, 0x32CA,
+    0x7555, 0x3326,
+    0x752D, 0x3382,
+    0x7504, 0x33DE,
+    0x74DB, 0x343A,
+    0x74B2, 0x3496,
+    0x7489, 0x34F2,
+    0x745F, 0x354D,
+    0x7435, 0x35A8,
+    0x740B, 0x3604,
+    0x73E0, 0x365F,
+    0x73B5, 0x36BA,
+    0x738A, 0x3714,
+    0x735F, 0x376F,
+    0x7333, 0x37CA,
+    0x7307, 0x3824,
+    0x72DB, 0x387E,
+    0x72AF, 0x38D8,
+    0x7282, 0x3932,
+    0x7255, 0x398C,
+    0x7227, 0x39E6,
+    0x71FA, 0x3A40,
+    0x71CC, 0x3A99,
+    0x719E, 0x3AF2,
+    0x716F, 0x3B4C,
+    0x7141, 0x3BA5,
+    0x7112, 0x3BFD,
+    0x70E2, 0x3C56,
+    0x70B3, 0x3CAF,
+    0x7083, 0x3D07,
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+    0x7023, 0x3DB8,
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+    0x6F5F, 0x3F17,
+    0x6F2D, 0x3F6E,
+    0x6EFB, 0x3FC5,
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+    0x6E96, 0x4073,
+    0x6E63, 0x40CA,
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+    0x6DCA, 0x41CE,
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+    0x6D2D, 0x42D0,
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+    0xFE6D, 0x7FFD,
+    0xFE09, 0x7FFC,
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+    0xFD40, 0x7FF8,
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+    0xFB49, 0x7FE9,
+    0xFAE5, 0x7FE5,
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+    0xF8EF, 0x7FCE,
+    0xF88A, 0x7FC8,
+    0xF826, 0x7FC2,
+    0xF7C2, 0x7FBC,
+    0xF75D, 0x7FB5,
+    0xF6F9, 0x7FAE,
+    0xF695, 0x7FA7,
+    0xF631, 0x7F9F,
+    0xF5CC, 0x7F97,
+    0xF568, 0x7F8F,
+    0xF504, 0x7F87,
+    0xF4A0, 0x7F7E,
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+    0xF1E4, 0x7F38,
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+    0xEDFE, 0x7EBA,
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+    0xEA80, 0x7E2E,
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+    0xE82F, 0x7DC3,
+    0xE7CC, 0x7DB0,
+    0xE769, 0x7D9D,
+    0xE707, 0x7D8A,
+    0xE6A4, 0x7D76,
+    0xE642, 0x7D62,
+    0xE5DF, 0x7D4E,
+    0xE57D, 0x7D39,
+    0xE51B, 0x7D24,
+    0xE4B8, 0x7D0F,
+    0xE456, 0x7CF9,
+    0xE3F4, 0x7CE3,
+    0xE392, 0x7CCD,
+    0xE330, 0x7CB7,
+    0xE2CE, 0x7CA0,
+    0xE26C, 0x7C89,
+    0xE20A, 0x7C71,
+    0xE1A9, 0x7C5A,
+    0xE147, 0x7C42,
+    0xE0E6, 0x7C29,
+    0xE084, 0x7C11,
+    0xE023, 0x7BF8,
+    0xDFC1, 0x7BDF,
+    0xDF60, 0x7BC5,
+    0xDEFF, 0x7BAC,
+    0xDE9E, 0x7B92,
+    0xDE3D, 0x7B77,
+    0xDDDC, 0x7B5D,
+    0xDD7B, 0x7B42,
+    0xDD1A, 0x7B26,
+    0xDCBA, 0x7B0B,
+    0xDC59, 0x7AEF,
+    0xDBF8, 0x7AD3,
+    0xDB98, 0x7AB6,
+    0xDB38, 0x7A9A,
+    0xDAD7, 0x7A7D,
+    0xDA77, 0x7A5F,
+    0xDA17, 0x7A42,
+    0xD9B7, 0x7A24,
+    0xD957, 0x7A05,
+    0xD8F8, 0x79E7,
+    0xD898, 0x79C8,
+    0xD838, 0x79A9,
+    0xD7D9, 0x798A,
+    0xD779, 0x796A,
+    0xD71A, 0x794A,
+    0xD6BB, 0x792A,
+    0xD65C, 0x7909,
+    0xD5FD, 0x78E8,
+    0xD59E, 0x78C7,
+    0xD53F, 0x78A6,
+    0xD4E0, 0x7884,
+    0xD482, 0x7862,
+    0xD423, 0x7840,
+    0xD3C5, 0x781D,
+    0xD367, 0x77FA,
+    0xD308, 0x77D7,
+    0xD2AA, 0x77B4,
+    0xD24C, 0x7790,
+    0xD1EE, 0x776C,
+    0xD191, 0x7747,
+    0xD133, 0x7723,
+    0xD0D6, 0x76FE,
+    0xD078, 0x76D9,
+    0xD01B, 0x76B3,
+    0xCFBE, 0x768E,
+    0xCF61, 0x7668,
+    0xCF04, 0x7641,
+    0xCEA7, 0x761B,
+    0xCE4A, 0x75F4,
+    0xCDEE, 0x75CC,
+    0xCD91, 0x75A5,
+    0xCD35, 0x757D,
+    0xCCD9, 0x7555,
+    0xCC7D, 0x752D,
+    0xCC21, 0x7504,
+    0xCBC5, 0x74DB,
+    0xCB69, 0x74B2,
+    0xCB0D, 0x7489,
+    0xCAB2, 0x745F,
+    0xCA57, 0x7435,
+    0xC9FB, 0x740B,
+    0xC9A0, 0x73E0,
+    0xC945, 0x73B5,
+    0xC8EB, 0x738A,
+    0xC890, 0x735F,
+    0xC835, 0x7333,
+    0xC7DB, 0x7307,
+    0xC781, 0x72DB,
+    0xC727, 0x72AF,
+    0xC6CD, 0x7282,
+    0xC673, 0x7255,
+    0xC619, 0x7227,
+    0xC5BF, 0x71FA,
+    0xC566, 0x71CC,
+    0xC50D, 0x719E,
+    0xC4B3, 0x716F,
+    0xC45A, 0x7141,
+    0xC402, 0x7112,
+    0xC3A9, 0x70E2,
+    0xC350, 0x70B3,
+    0xC2F8, 0x7083,
+    0xC29F, 0x7053,
+    0xC247, 0x7023,
+    0xC1EF, 0x6FF2,
+    0xC197, 0x6FC1,
+    0xC140, 0x6F90,
+    0xC0E8, 0x6F5F,
+    0xC091, 0x6F2D,
+    0xC03A, 0x6EFB,
+    0xBFE2, 0x6EC9,
+    0xBF8C, 0x6E96,
+    0xBF35, 0x6E63,
+    0xBEDE, 0x6E30,
+    0xBE88, 0x6DFD,
+    0xBE31, 0x6DCA,
+    0xBDDB, 0x6D96,
+    0xBD85, 0x6D62,
+    0xBD2F, 0x6D2D,
+    0xBCDA, 0x6CF9,
+    0xBC84, 0x6CC4,
+    0xBC2F, 0x6C8F,
+    0xBBDA, 0x6C59,
+    0xBB85, 0x6C24,
+    0xBB30, 0x6BEE,
+    0xBADB, 0x6BB8,
+    0xBA87, 0x6B81,
+    0xBA32, 0x6B4A,
+    0xB9DE, 0x6B13,
+    0xB98A, 0x6ADC,
+    0xB936, 0x6AA5,
+    0xB8E3, 0x6A6D,
+    0xB88F, 0x6A35,
+    0xB83C, 0x69FD,
+    0xB7E9, 0x69C4,
+    0xB796, 0x698C,
+    0xB743, 0x6953,
+    0xB6F0, 0x6919,
+    0xB69E, 0x68E0,
+    0xB64B, 0x68A6,
+    0xB5F9, 0x686C,
+    0xB5A7, 0x6832,
+    0xB556, 0x67F7,
+    0xB504, 0x67BD,
+    0xB4B3, 0x6782,
+    0xB461, 0x6746,
+    0xB410, 0x670B,
+    0xB3C0, 0x66CF,
+    0xB36F, 0x6693,
+    0xB31E, 0x6657,
+    0xB2CE, 0x661A,
+    0xB27E, 0x65DD,
+    0xB22E, 0x65A0,
+    0xB1DE, 0x6563,
+    0xB18F, 0x6526,
+    0xB140, 0x64E8,
+    0xB0F0, 0x64AA,
+    0xB0A1, 0x646C,
+    0xB053, 0x642D,
+    0xB004, 0x63EF,
+    0xAFB6, 0x63B0,
+    0xAF68, 0x6371,
+    0xAF1A, 0x6331,
+    0xAECC, 0x62F2,
+    0xAE7E, 0x62B2,
+    0xAE31, 0x6271,
+    0xADE3, 0x6231,
+    0xAD96, 0x61F1,
+    0xAD4A, 0x61B0,
+    0xACFD, 0x616F,
+    0xACB1, 0x612D,
+    0xAC64, 0x60EC,
+    0xAC18, 0x60AA,
+    0xABCC, 0x6068,
+    0xAB81, 0x6026,
+    0xAB35, 0x5FE3,
+    0xAAEA, 0x5FA0,
+    0xAA9F, 0x5F5E,
+    0xAA54, 0x5F1A,
+    0xAA0A, 0x5ED7,
+    0xA9BF, 0x5E93,
+    0xA975, 0x5E50,
+    0xA92B, 0x5E0B,
+    0xA8E2, 0x5DC7,
+    0xA898, 0x5D83,
+    0xA84F, 0x5D3E,
+    0xA806, 0x5CF9,
+    0xA7BD, 0x5CB4,
+    0xA774, 0x5C6E,
+    0xA72B, 0x5C29,
+    0xA6E3, 0x5BE3,
+    0xA69B, 0x5B9D,
+    0xA653, 0x5B56,
+    0xA60C, 0x5B10,
+    0xA5C4, 0x5AC9,
+    0xA57D, 0x5A82,
+    0xA536, 0x5A3B,
+    0xA4EF, 0x59F3,
+    0xA4A9, 0x59AC,
+    0xA462, 0x5964,
+    0xA41C, 0x591C,
+    0xA3D6, 0x58D4,
+    0xA391, 0x588B,
+    0xA34B, 0x5842,
+    0xA306, 0x57F9,
+    0xA2C1, 0x57B0,
+    0xA27C, 0x5767,
+    0xA238, 0x571D,
+    0xA1F4, 0x56D4,
+    0xA1AF, 0x568A,
+    0xA16C, 0x5640,
+    0xA128, 0x55F5,
+    0xA0E5, 0x55AB,
+    0xA0A1, 0x5560,
+    0xA05F, 0x5515,
+    0xA01C, 0x54CA,
+    0x9FD9, 0x547E,
+    0x9F97, 0x5433,
+    0x9F55, 0x53E7,
+    0x9F13, 0x539B,
+    0x9ED2, 0x534E,
+    0x9E90, 0x5302,
+    0x9E4F, 0x52B5,
+    0x9E0E, 0x5269,
+    0x9DCE, 0x521C,
+    0x9D8E, 0x51CE,
+    0x9D4D, 0x5181,
+    0x9D0D, 0x5133,
+    0x9CCE, 0x50E5,
+    0x9C8E, 0x5097,
+    0x9C4F, 0x5049,
+    0x9C10, 0x4FFB,
+    0x9BD2, 0x4FAC,
+    0x9B93, 0x4F5E,
+    0x9B55, 0x4F0F,
+    0x9B17, 0x4EBF,
+    0x9AD9, 0x4E70,
+    0x9A9C, 0x4E21,
+    0x9A5F, 0x4DD1,
+    0x9A22, 0x4D81,
+    0x99E5, 0x4D31,
+    0x99A8, 0x4CE1,
+    0x996C, 0x4C90,
+    0x9930, 0x4C3F,
+    0x98F4, 0x4BEF,
+    0x98B9, 0x4B9E,
+    0x987D, 0x4B4C,
+    0x9842, 0x4AFB,
+    0x9808, 0x4AA9,
+    0x97CD, 0x4A58,
+    0x9793, 0x4A06,
+    0x9759, 0x49B4,
+    0x971F, 0x4961,
+    0x96E6, 0x490F,
+    0x96AC, 0x48BC,
+    0x9673, 0x4869,
+    0x963B, 0x4816,
+    0x9602, 0x47C3,
+    0x95CA, 0x4770,
+    0x9592, 0x471C,
+    0x955A, 0x46C9,
+    0x9523, 0x4675,
+    0x94EC, 0x4621,
+    0x94B5, 0x45CD,
+    0x947E, 0x4578,
+    0x9447, 0x4524,
+    0x9411, 0x44CF,
+    0x93DB, 0x447A,
+    0x93A6, 0x4425,
+    0x9370, 0x43D0,
+    0x933B, 0x437B,
+    0x9306, 0x4325,
+    0x92D2, 0x42D0,
+    0x929D, 0x427A,
+    0x9269, 0x4224,
+    0x9235, 0x41CE,
+    0x9202, 0x4177,
+    0x91CF, 0x4121,
+    0x919C, 0x40CA,
+    0x9169, 0x4073,
+    0x9136, 0x401D,
+    0x9104, 0x3FC5,
+    0x90D2, 0x3F6E,
+    0x90A0, 0x3F17,
+    0x906F, 0x3EBF,
+    0x903E, 0x3E68,
+    0x900D, 0x3E10,
+    0x8FDC, 0x3DB8,
+    0x8FAC, 0x3D60,
+    0x8F7C, 0x3D07,
+    0x8F4C, 0x3CAF,
+    0x8F1D, 0x3C56,
+    0x8EED, 0x3BFD,
+    0x8EBE, 0x3BA5,
+    0x8E90, 0x3B4C,
+    0x8E61, 0x3AF2,
+    0x8E33, 0x3A99,
+    0x8E05, 0x3A40,
+    0x8DD8, 0x39E6,
+    0x8DAA, 0x398C,
+    0x8D7D, 0x3932,
+    0x8D50, 0x38D8,
+    0x8D24, 0x387E,
+    0x8CF8, 0x3824,
+    0x8CCC, 0x37CA,
+    0x8CA0, 0x376F,
+    0x8C75, 0x3714,
+    0x8C4A, 0x36BA,
+    0x8C1F, 0x365F,
+    0x8BF4, 0x3604,
+    0x8BCA, 0x35A8,
+    0x8BA0, 0x354D,
+    0x8B76, 0x34F2,
+    0x8B4D, 0x3496,
+    0x8B24, 0x343A,
+    0x8AFB, 0x33DE,
+    0x8AD2, 0x3382,
+    0x8AAA, 0x3326,
+    0x8A82, 0x32CA,
+    0x8A5A, 0x326E,
+    0x8A33, 0x3211,
+    0x8A0B, 0x31B5,
+    0x89E4, 0x3158,
+    0x89BE, 0x30FB,
+    0x8997, 0x309E,
+    0x8971, 0x3041,
+    0x894C, 0x2FE4,
+    0x8926, 0x2F87,
+    0x8901, 0x2F29,
+    0x88DC, 0x2ECC,
+    0x88B8, 0x2E6E,
+    0x8893, 0x2E11,
+    0x886F, 0x2DB3,
+    0x884B, 0x2D55,
+    0x8828, 0x2CF7,
+    0x8805, 0x2C98,
+    0x87E2, 0x2C3A,
+    0x87BF, 0x2BDC,
+    0x879D, 0x2B7D,
+    0x877B, 0x2B1F,
+    0x8759, 0x2AC0,
+    0x8738, 0x2A61,
+    0x8717, 0x2A02,
+    0x86F6, 0x29A3,
+    0x86D5, 0x2944,
+    0x86B5, 0x28E5,
+    0x8695, 0x2886,
+    0x8675, 0x2826,
+    0x8656, 0x27C7,
+    0x8637, 0x2767,
+    0x8618, 0x2707,
+    0x85FA, 0x26A8,
+    0x85DB, 0x2648,
+    0x85BD, 0x25E8,
+    0x85A0, 0x2588,
+    0x8582, 0x2528,
+    0x8565, 0x24C7,
+    0x8549, 0x2467,
+    0x852C, 0x2407,
+    0x8510, 0x23A6,
+    0x84F4, 0x2345,
+    0x84D9, 0x22E5,
+    0x84BD, 0x2284,
+    0x84A2, 0x2223,
+    0x8488, 0x21C2,
+    0x846D, 0x2161,
+    0x8453, 0x2100,
+    0x843A, 0x209F,
+    0x8420, 0x203E,
+    0x8407, 0x1FDC,
+    0x83EE, 0x1F7B,
+    0x83D6, 0x1F19,
+    0x83BD, 0x1EB8,
+    0x83A5, 0x1E56,
+    0x838E, 0x1DF5,
+    0x8376, 0x1D93,
+    0x835F, 0x1D31,
+    0x8348, 0x1CCF,
+    0x8332, 0x1C6D,
+    0x831C, 0x1C0B,
+    0x8306, 0x1BA9,
+    0x82F0, 0x1B47,
+    0x82DB, 0x1AE4,
+    0x82C6, 0x1A82,
+    0x82B1, 0x1A20,
+    0x829D, 0x19BD,
+    0x8289, 0x195B,
+    0x8275, 0x18F8,
+    0x8262, 0x1896,
+    0x824F, 0x1833,
+    0x823C, 0x17D0,
+    0x8229, 0x176D,
+    0x8217, 0x170A,
+    0x8205, 0x16A8,
+    0x81F3, 0x1645,
+    0x81E2, 0x15E2,
+    0x81D1, 0x157F,
+    0x81C0, 0x151B,
+    0x81B0, 0x14B8,
+    0x81A0, 0x1455,
+    0x8190, 0x13F2,
+    0x8180, 0x138E,
+    0x8171, 0x132B,
+    0x8162, 0x12C8,
+    0x8154, 0x1264,
+    0x8145, 0x1201,
+    0x8137, 0x119D,
+    0x812A, 0x1139,
+    0x811C, 0x10D6,
+    0x810F, 0x1072,
+    0x8102, 0x100E,
+    0x80F6, 0x0FAB,
+    0x80EA, 0x0F47,
+    0x80DE, 0x0EE3,
+    0x80D2, 0x0E7F,
+    0x80C7, 0x0E1B,
+    0x80BC, 0x0DB7,
+    0x80B2, 0x0D53,
+    0x80A7, 0x0CEF,
+    0x809D, 0x0C8B,
+    0x8094, 0x0C27,
+    0x808A, 0x0BC3,
+    0x8081, 0x0B5F,
+    0x8078, 0x0AFB,
+    0x8070, 0x0A97,
+    0x8068, 0x0A33,
+    0x8060, 0x09CE,
+    0x8058, 0x096A,
+    0x8051, 0x0906,
+    0x804A, 0x08A2,
+    0x8043, 0x083D,
+    0x803D, 0x07D9,
+    0x8037, 0x0775,
+    0x8031, 0x0710,
+    0x802C, 0x06AC,
+    0x8027, 0x0647,
+    0x8022, 0x05E3,
+    0x801E, 0x057F,
+    0x801A, 0x051A,
+    0x8016, 0x04B6,
+    0x8012, 0x0451,
+    0x800F, 0x03ED,
+    0x800C, 0x0388,
+    0x8009, 0x0324,
+    0x8007, 0x02BF,
+    0x8005, 0x025B,
+    0x8003, 0x01F6,
+    0x8002, 0x0192,
+    0x8001, 0x012D,
+    0x8000, 0x00C9,
+    0x8000, 0x0064,
+    0x8000, 0x0000,
+    0x8000, 0xFF9B,
+    0x8000, 0xFF36,
+    0x8001, 0xFED2,
+    0x8002, 0xFE6D,
+    0x8003, 0xFE09,
+    0x8005, 0xFDA4,
+    0x8007, 0xFD40,
+    0x8009, 0xFCDB,
+    0x800C, 0xFC77,
+    0x800F, 0xFC12,
+    0x8012, 0xFBAE,
+    0x8016, 0xFB49,
+    0x801A, 0xFAE5,
+    0x801E, 0xFA80,
+    0x8022, 0xFA1C,
+    0x8027, 0xF9B8,
+    0x802C, 0xF953,
+    0x8031, 0xF8EF,
+    0x8037, 0xF88A,
+    0x803D, 0xF826,
+    0x8043, 0xF7C2,
+    0x804A, 0xF75D,
+    0x8051, 0xF6F9,
+    0x8058, 0xF695,
+    0x8060, 0xF631,
+    0x8068, 0xF5CC,
+    0x8070, 0xF568,
+    0x8078, 0xF504,
+    0x8081, 0xF4A0,
+    0x808A, 0xF43C,
+    0x8094, 0xF3D8,
+    0x809D, 0xF374,
+    0x80A7, 0xF310,
+    0x80B2, 0xF2AC,
+    0x80BC, 0xF248,
+    0x80C7, 0xF1E4,
+    0x80D2, 0xF180,
+    0x80DE, 0xF11C,
+    0x80EA, 0xF0B8,
+    0x80F6, 0xF054,
+    0x8102, 0xEFF1,
+    0x810F, 0xEF8D,
+    0x811C, 0xEF29,
+    0x812A, 0xEEC6,
+    0x8137, 0xEE62,
+    0x8145, 0xEDFE,
+    0x8154, 0xED9B,
+    0x8162, 0xED37,
+    0x8171, 0xECD4,
+    0x8180, 0xEC71,
+    0x8190, 0xEC0D,
+    0x81A0, 0xEBAA,
+    0x81B0, 0xEB47,
+    0x81C0, 0xEAE4,
+    0x81D1, 0xEA80,
+    0x81E2, 0xEA1D,
+    0x81F3, 0xE9BA,
+    0x8205, 0xE957,
+    0x8217, 0xE8F5,
+    0x8229, 0xE892,
+    0x823C, 0xE82F,
+    0x824F, 0xE7CC,
+    0x8262, 0xE769,
+    0x8275, 0xE707,
+    0x8289, 0xE6A4,
+    0x829D, 0xE642,
+    0x82B1, 0xE5DF,
+    0x82C6, 0xE57D,
+    0x82DB, 0xE51B,
+    0x82F0, 0xE4B8,
+    0x8306, 0xE456,
+    0x831C, 0xE3F4,
+    0x8332, 0xE392,
+    0x8348, 0xE330,
+    0x835F, 0xE2CE,
+    0x8376, 0xE26C,
+    0x838E, 0xE20A,
+    0x83A5, 0xE1A9,
+    0x83BD, 0xE147,
+    0x83D6, 0xE0E6,
+    0x83EE, 0xE084,
+    0x8407, 0xE023,
+    0x8420, 0xDFC1,
+    0x843A, 0xDF60,
+    0x8453, 0xDEFF,
+    0x846D, 0xDE9E,
+    0x8488, 0xDE3D,
+    0x84A2, 0xDDDC,
+    0x84BD, 0xDD7B,
+    0x84D9, 0xDD1A,
+    0x84F4, 0xDCBA,
+    0x8510, 0xDC59,
+    0x852C, 0xDBF8,
+    0x8549, 0xDB98,
+    0x8565, 0xDB38,
+    0x8582, 0xDAD7,
+    0x85A0, 0xDA77,
+    0x85BD, 0xDA17,
+    0x85DB, 0xD9B7,
+    0x85FA, 0xD957,
+    0x8618, 0xD8F8,
+    0x8637, 0xD898,
+    0x8656, 0xD838,
+    0x8675, 0xD7D9,
+    0x8695, 0xD779,
+    0x86B5, 0xD71A,
+    0x86D5, 0xD6BB,
+    0x86F6, 0xD65C,
+    0x8717, 0xD5FD,
+    0x8738, 0xD59E,
+    0x8759, 0xD53F,
+    0x877B, 0xD4E0,
+    0x879D, 0xD482,
+    0x87BF, 0xD423,
+    0x87E2, 0xD3C5,
+    0x8805, 0xD367,
+    0x8828, 0xD308,
+    0x884B, 0xD2AA,
+    0x886F, 0xD24C,
+    0x8893, 0xD1EE,
+    0x88B8, 0xD191,
+    0x88DC, 0xD133,
+    0x8901, 0xD0D6,
+    0x8926, 0xD078,
+    0x894C, 0xD01B,
+    0x8971, 0xCFBE,
+    0x8997, 0xCF61,
+    0x89BE, 0xCF04,
+    0x89E4, 0xCEA7,
+    0x8A0B, 0xCE4A,
+    0x8A33, 0xCDEE,
+    0x8A5A, 0xCD91,
+    0x8A82, 0xCD35,
+    0x8AAA, 0xCCD9,
+    0x8AD2, 0xCC7D,
+    0x8AFB, 0xCC21,
+    0x8B24, 0xCBC5,
+    0x8B4D, 0xCB69,
+    0x8B76, 0xCB0D,
+    0x8BA0, 0xCAB2,
+    0x8BCA, 0xCA57,
+    0x8BF4, 0xC9FB,
+    0x8C1F, 0xC9A0,
+    0x8C4A, 0xC945,
+    0x8C75, 0xC8EB,
+    0x8CA0, 0xC890,
+    0x8CCC, 0xC835,
+    0x8CF8, 0xC7DB,
+    0x8D24, 0xC781,
+    0x8D50, 0xC727,
+    0x8D7D, 0xC6CD,
+    0x8DAA, 0xC673,
+    0x8DD8, 0xC619,
+    0x8E05, 0xC5BF,
+    0x8E33, 0xC566,
+    0x8E61, 0xC50D,
+    0x8E90, 0xC4B3,
+    0x8EBE, 0xC45A,
+    0x8EED, 0xC402,
+    0x8F1D, 0xC3A9,
+    0x8F4C, 0xC350,
+    0x8F7C, 0xC2F8,
+    0x8FAC, 0xC29F,
+    0x8FDC, 0xC247,
+    0x900D, 0xC1EF,
+    0x903E, 0xC197,
+    0x906F, 0xC140,
+    0x90A0, 0xC0E8,
+    0x90D2, 0xC091,
+    0x9104, 0xC03A,
+    0x9136, 0xBFE2,
+    0x9169, 0xBF8C,
+    0x919C, 0xBF35,
+    0x91CF, 0xBEDE,
+    0x9202, 0xBE88,
+    0x9235, 0xBE31,
+    0x9269, 0xBDDB,
+    0x929D, 0xBD85,
+    0x92D2, 0xBD2F,
+    0x9306, 0xBCDA,
+    0x933B, 0xBC84,
+    0x9370, 0xBC2F,
+    0x93A6, 0xBBDA,
+    0x93DB, 0xBB85,
+    0x9411, 0xBB30,
+    0x9447, 0xBADB,
+    0x947E, 0xBA87,
+    0x94B5, 0xBA32,
+    0x94EC, 0xB9DE,
+    0x9523, 0xB98A,
+    0x955A, 0xB936,
+    0x9592, 0xB8E3,
+    0x95CA, 0xB88F,
+    0x9602, 0xB83C,
+    0x963B, 0xB7E9,
+    0x9673, 0xB796,
+    0x96AC, 0xB743,
+    0x96E6, 0xB6F0,
+    0x971F, 0xB69E,
+    0x9759, 0xB64B,
+    0x9793, 0xB5F9,
+    0x97CD, 0xB5A7,
+    0x9808, 0xB556,
+    0x9842, 0xB504,
+    0x987D, 0xB4B3,
+    0x98B9, 0xB461,
+    0x98F4, 0xB410,
+    0x9930, 0xB3C0,
+    0x996C, 0xB36F,
+    0x99A8, 0xB31E,
+    0x99E5, 0xB2CE,
+    0x9A22, 0xB27E,
+    0x9A5F, 0xB22E,
+    0x9A9C, 0xB1DE,
+    0x9AD9, 0xB18F,
+    0x9B17, 0xB140,
+    0x9B55, 0xB0F0,
+    0x9B93, 0xB0A1,
+    0x9BD2, 0xB053,
+    0x9C10, 0xB004,
+    0x9C4F, 0xAFB6,
+    0x9C8E, 0xAF68,
+    0x9CCE, 0xAF1A,
+    0x9D0D, 0xAECC,
+    0x9D4D, 0xAE7E,
+    0x9D8E, 0xAE31,
+    0x9DCE, 0xADE3,
+    0x9E0E, 0xAD96,
+    0x9E4F, 0xAD4A,
+    0x9E90, 0xACFD,
+    0x9ED2, 0xACB1,
+    0x9F13, 0xAC64,
+    0x9F55, 0xAC18,
+    0x9F97, 0xABCC,
+    0x9FD9, 0xAB81,
+    0xA01C, 0xAB35,
+    0xA05F, 0xAAEA,
+    0xA0A1, 0xAA9F,
+    0xA0E5, 0xAA54,
+    0xA128, 0xAA0A,
+    0xA16C, 0xA9BF,
+    0xA1AF, 0xA975,
+    0xA1F4, 0xA92B,
+    0xA238, 0xA8E2,
+    0xA27C, 0xA898,
+    0xA2C1, 0xA84F,
+    0xA306, 0xA806,
+    0xA34B, 0xA7BD,
+    0xA391, 0xA774,
+    0xA3D6, 0xA72B,
+    0xA41C, 0xA6E3,
+    0xA462, 0xA69B,
+    0xA4A9, 0xA653,
+    0xA4EF, 0xA60C,
+    0xA536, 0xA5C4,
+    0xA57D, 0xA57D,
+    0xA5C4, 0xA536,
+    0xA60C, 0xA4EF,
+    0xA653, 0xA4A9,
+    0xA69B, 0xA462,
+    0xA6E3, 0xA41C,
+    0xA72B, 0xA3D6,
+    0xA774, 0xA391,
+    0xA7BD, 0xA34B,
+    0xA806, 0xA306,
+    0xA84F, 0xA2C1,
+    0xA898, 0xA27C,
+    0xA8E2, 0xA238,
+    0xA92B, 0xA1F4,
+    0xA975, 0xA1AF,
+    0xA9BF, 0xA16C,
+    0xAA0A, 0xA128,
+    0xAA54, 0xA0E5,
+    0xAA9F, 0xA0A1,
+    0xAAEA, 0xA05F,
+    0xAB35, 0xA01C,
+    0xAB81, 0x9FD9,
+    0xABCC, 0x9F97,
+    0xAC18, 0x9F55,
+    0xAC64, 0x9F13,
+    0xACB1, 0x9ED2,
+    0xACFD, 0x9E90,
+    0xAD4A, 0x9E4F,
+    0xAD96, 0x9E0E,
+    0xADE3, 0x9DCE,
+    0xAE31, 0x9D8E,
+    0xAE7E, 0x9D4D,
+    0xAECC, 0x9D0D,
+    0xAF1A, 0x9CCE,
+    0xAF68, 0x9C8E,
+    0xAFB6, 0x9C4F,
+    0xB004, 0x9C10,
+    0xB053, 0x9BD2,
+    0xB0A1, 0x9B93,
+    0xB0F0, 0x9B55,
+    0xB140, 0x9B17,
+    0xB18F, 0x9AD9,
+    0xB1DE, 0x9A9C,
+    0xB22E, 0x9A5F,
+    0xB27E, 0x9A22,
+    0xB2CE, 0x99E5,
+    0xB31E, 0x99A8,
+    0xB36F, 0x996C,
+    0xB3C0, 0x9930,
+    0xB410, 0x98F4,
+    0xB461, 0x98B9,
+    0xB4B3, 0x987D,
+    0xB504, 0x9842,
+    0xB556, 0x9808,
+    0xB5A7, 0x97CD,
+    0xB5F9, 0x9793,
+    0xB64B, 0x9759,
+    0xB69E, 0x971F,
+    0xB6F0, 0x96E6,
+    0xB743, 0x96AC,
+    0xB796, 0x9673,
+    0xB7E9, 0x963B,
+    0xB83C, 0x9602,
+    0xB88F, 0x95CA,
+    0xB8E3, 0x9592,
+    0xB936, 0x955A,
+    0xB98A, 0x9523,
+    0xB9DE, 0x94EC,
+    0xBA32, 0x94B5,
+    0xBA87, 0x947E,
+    0xBADB, 0x9447,
+    0xBB30, 0x9411,
+    0xBB85, 0x93DB,
+    0xBBDA, 0x93A6,
+    0xBC2F, 0x9370,
+    0xBC84, 0x933B,
+    0xBCDA, 0x9306,
+    0xBD2F, 0x92D2,
+    0xBD85, 0x929D,
+    0xBDDB, 0x9269,
+    0xBE31, 0x9235,
+    0xBE88, 0x9202,
+    0xBEDE, 0x91CF,
+    0xBF35, 0x919C,
+    0xBF8C, 0x9169,
+    0xBFE2, 0x9136,
+    0xC03A, 0x9104,
+    0xC091, 0x90D2,
+    0xC0E8, 0x90A0,
+    0xC140, 0x906F,
+    0xC197, 0x903E,
+    0xC1EF, 0x900D,
+    0xC247, 0x8FDC,
+    0xC29F, 0x8FAC,
+    0xC2F8, 0x8F7C,
+    0xC350, 0x8F4C,
+    0xC3A9, 0x8F1D,
+    0xC402, 0x8EED,
+    0xC45A, 0x8EBE,
+    0xC4B3, 0x8E90,
+    0xC50D, 0x8E61,
+    0xC566, 0x8E33,
+    0xC5BF, 0x8E05,
+    0xC619, 0x8DD8,
+    0xC673, 0x8DAA,
+    0xC6CD, 0x8D7D,
+    0xC727, 0x8D50,
+    0xC781, 0x8D24,
+    0xC7DB, 0x8CF8,
+    0xC835, 0x8CCC,
+    0xC890, 0x8CA0,
+    0xC8EB, 0x8C75,
+    0xC945, 0x8C4A,
+    0xC9A0, 0x8C1F,
+    0xC9FB, 0x8BF4,
+    0xCA57, 0x8BCA,
+    0xCAB2, 0x8BA0,
+    0xCB0D, 0x8B76,
+    0xCB69, 0x8B4D,
+    0xCBC5, 0x8B24,
+    0xCC21, 0x8AFB,
+    0xCC7D, 0x8AD2,
+    0xCCD9, 0x8AAA,
+    0xCD35, 0x8A82,
+    0xCD91, 0x8A5A,
+    0xCDEE, 0x8A33,
+    0xCE4A, 0x8A0B,
+    0xCEA7, 0x89E4,
+    0xCF04, 0x89BE,
+    0xCF61, 0x8997,
+    0xCFBE, 0x8971,
+    0xD01B, 0x894C,
+    0xD078, 0x8926,
+    0xD0D6, 0x8901,
+    0xD133, 0x88DC,
+    0xD191, 0x88B8,
+    0xD1EE, 0x8893,
+    0xD24C, 0x886F,
+    0xD2AA, 0x884B,
+    0xD308, 0x8828,
+    0xD367, 0x8805,
+    0xD3C5, 0x87E2,
+    0xD423, 0x87BF,
+    0xD482, 0x879D,
+    0xD4E0, 0x877B,
+    0xD53F, 0x8759,
+    0xD59E, 0x8738,
+    0xD5FD, 0x8717,
+    0xD65C, 0x86F6,
+    0xD6BB, 0x86D5,
+    0xD71A, 0x86B5,
+    0xD779, 0x8695,
+    0xD7D9, 0x8675,
+    0xD838, 0x8656,
+    0xD898, 0x8637,
+    0xD8F8, 0x8618,
+    0xD957, 0x85FA,
+    0xD9B7, 0x85DB,
+    0xDA17, 0x85BD,
+    0xDA77, 0x85A0,
+    0xDAD7, 0x8582,
+    0xDB38, 0x8565,
+    0xDB98, 0x8549,
+    0xDBF8, 0x852C,
+    0xDC59, 0x8510,
+    0xDCBA, 0x84F4,
+    0xDD1A, 0x84D9,
+    0xDD7B, 0x84BD,
+    0xDDDC, 0x84A2,
+    0xDE3D, 0x8488,
+    0xDE9E, 0x846D,
+    0xDEFF, 0x8453,
+    0xDF60, 0x843A,
+    0xDFC1, 0x8420,
+    0xE023, 0x8407,
+    0xE084, 0x83EE,
+    0xE0E6, 0x83D6,
+    0xE147, 0x83BD,
+    0xE1A9, 0x83A5,
+    0xE20A, 0x838E,
+    0xE26C, 0x8376,
+    0xE2CE, 0x835F,
+    0xE330, 0x8348,
+    0xE392, 0x8332,
+    0xE3F4, 0x831C,
+    0xE456, 0x8306,
+    0xE4B8, 0x82F0,
+    0xE51B, 0x82DB,
+    0xE57D, 0x82C6,
+    0xE5DF, 0x82B1,
+    0xE642, 0x829D,
+    0xE6A4, 0x8289,
+    0xE707, 0x8275,
+    0xE769, 0x8262,
+    0xE7CC, 0x824F,
+    0xE82F, 0x823C,
+    0xE892, 0x8229,
+    0xE8F5, 0x8217,
+    0xE957, 0x8205,
+    0xE9BA, 0x81F3,
+    0xEA1D, 0x81E2,
+    0xEA80, 0x81D1,
+    0xEAE4, 0x81C0,
+    0xEB47, 0x81B0,
+    0xEBAA, 0x81A0,
+    0xEC0D, 0x8190,
+    0xEC71, 0x8180,
+    0xECD4, 0x8171,
+    0xED37, 0x8162,
+    0xED9B, 0x8154,
+    0xEDFE, 0x8145,
+    0xEE62, 0x8137,
+    0xEEC6, 0x812A,
+    0xEF29, 0x811C,
+    0xEF8D, 0x810F,
+    0xEFF1, 0x8102,
+    0xF054, 0x80F6,
+    0xF0B8, 0x80EA,
+    0xF11C, 0x80DE,
+    0xF180, 0x80D2,
+    0xF1E4, 0x80C7,
+    0xF248, 0x80BC,
+    0xF2AC, 0x80B2,
+    0xF310, 0x80A7,
+    0xF374, 0x809D,
+    0xF3D8, 0x8094,
+    0xF43C, 0x808A,
+    0xF4A0, 0x8081,
+    0xF504, 0x8078,
+    0xF568, 0x8070,
+    0xF5CC, 0x8068,
+    0xF631, 0x8060,
+    0xF695, 0x8058,
+    0xF6F9, 0x8051,
+    0xF75D, 0x804A,
+    0xF7C2, 0x8043,
+    0xF826, 0x803D,
+    0xF88A, 0x8037,
+    0xF8EF, 0x8031,
+    0xF953, 0x802C,
+    0xF9B8, 0x8027,
+    0xFA1C, 0x8022,
+    0xFA80, 0x801E,
+    0xFAE5, 0x801A,
+    0xFB49, 0x8016,
+    0xFBAE, 0x8012,
+    0xFC12, 0x800F,
+    0xFC77, 0x800C,
+    0xFCDB, 0x8009,
+    0xFD40, 0x8007,
+    0xFDA4, 0x8005,
+    0xFE09, 0x8003,
+    0xFE6D, 0x8002,
+    0xFED2, 0x8001,
+    0xFF36, 0x8000,
+    0xFF9B, 0x8000
+};
+
+/**    
+* \par   
+* Example code for q15 Twiddle factors Generation::    
+* \par    
+* <pre>for(i = 0; i< 3N/4; i++)    
+* {    
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+* } </pre>    
+* \par    
+* where N = 4096	and PI = 3.14159265358979    
+* \par    
+* Cos and Sin values are interleaved fashion    
+* \par    
+* Convert Floating point to q15(Fixed point 1.15):    
+*	round(twiddleCoefq15(i) * pow(2, 15))    
+*    
+*/
+const q15_t twiddleCoef_4096_q15[6144] = 
+{
+    0x7FFF, 0x0000,
+    0x7FFF, 0x0032,
+    0x7FFF, 0x0064,
+    0x7FFF, 0x0096,
+    0x7FFF, 0x00C9,
+    0x7FFF, 0x00FB,
+    0x7FFE, 0x012D,
+    0x7FFE, 0x015F,
+    0x7FFD, 0x0192,
+    0x7FFC, 0x01C4,
+    0x7FFC, 0x01F6,
+    0x7FFB, 0x0228,
+    0x7FFA, 0x025B,
+    0x7FF9, 0x028D,
+    0x7FF8, 0x02BF,
+    0x7FF7, 0x02F1,
+    0x7FF6, 0x0324,
+    0x7FF4, 0x0356,
+    0x7FF3, 0x0388,
+    0x7FF2, 0x03BA,
+    0x7FF0, 0x03ED,
+    0x7FEE, 0x041F,
+    0x7FED, 0x0451,
+    0x7FEB, 0x0483,
+    0x7FE9, 0x04B6,
+    0x7FE7, 0x04E8,
+    0x7FE5, 0x051A,
+    0x7FE3, 0x054C,
+    0x7FE1, 0x057F,
+    0x7FDF, 0x05B1,
+    0x7FDD, 0x05E3,
+    0x7FDA, 0x0615,
+    0x7FD8, 0x0647,
+    0x7FD6, 0x067A,
+    0x7FD3, 0x06AC,
+    0x7FD0, 0x06DE,
+    0x7FCE, 0x0710,
+    0x7FCB, 0x0742,
+    0x7FC8, 0x0775,
+    0x7FC5, 0x07A7,
+    0x7FC2, 0x07D9,
+    0x7FBF, 0x080B,
+    0x7FBC, 0x083D,
+    0x7FB8, 0x086F,
+    0x7FB5, 0x08A2,
+    0x7FB1, 0x08D4,
+    0x7FAE, 0x0906,
+    0x7FAA, 0x0938,
+    0x7FA7, 0x096A,
+    0x7FA3, 0x099C,
+    0x7F9F, 0x09CE,
+    0x7F9B, 0x0A00,
+    0x7F97, 0x0A33,
+    0x7F93, 0x0A65,
+    0x7F8F, 0x0A97,
+    0x7F8B, 0x0AC9,
+    0x7F87, 0x0AFB,
+    0x7F82, 0x0B2D,
+    0x7F7E, 0x0B5F,
+    0x7F79, 0x0B91,
+    0x7F75, 0x0BC3,
+    0x7F70, 0x0BF5,
+    0x7F6B, 0x0C27,
+    0x7F67, 0x0C59,
+    0x7F62, 0x0C8B,
+    0x7F5D, 0x0CBD,
+    0x7F58, 0x0CEF,
+    0x7F53, 0x0D21,
+    0x7F4D, 0x0D53,
+    0x7F48, 0x0D85,
+    0x7F43, 0x0DB7,
+    0x7F3D, 0x0DE9,
+    0x7F38, 0x0E1B,
+    0x7F32, 0x0E4D,
+    0x7F2D, 0x0E7F,
+    0x7F27, 0x0EB1,
+    0x7F21, 0x0EE3,
+    0x7F1B, 0x0F15,
+    0x7F15, 0x0F47,
+    0x7F0F, 0x0F79,
+    0x7F09, 0x0FAB,
+    0x7F03, 0x0FDD,
+    0x7EFD, 0x100E,
+    0x7EF6, 0x1040,
+    0x7EF0, 0x1072,
+    0x7EE9, 0x10A4,
+    0x7EE3, 0x10D6,
+    0x7EDC, 0x1108,
+    0x7ED5, 0x1139,
+    0x7ECF, 0x116B,
+    0x7EC8, 0x119D,
+    0x7EC1, 0x11CF,
+    0x7EBA, 0x1201,
+    0x7EB3, 0x1232,
+    0x7EAB, 0x1264,
+    0x7EA4, 0x1296,
+    0x7E9D, 0x12C8,
+    0x7E95, 0x12F9,
+    0x7E8E, 0x132B,
+    0x7E86, 0x135D,
+    0x7E7F, 0x138E,
+    0x7E77, 0x13C0,
+    0x7E6F, 0x13F2,
+    0x7E67, 0x1423,
+    0x7E5F, 0x1455,
+    0x7E57, 0x1487,
+    0x7E4F, 0x14B8,
+    0x7E47, 0x14EA,
+    0x7E3F, 0x151B,
+    0x7E37, 0x154D,
+    0x7E2E, 0x157F,
+    0x7E26, 0x15B0,
+    0x7E1D, 0x15E2,
+    0x7E14, 0x1613,
+    0x7E0C, 0x1645,
+    0x7E03, 0x1676,
+    0x7DFA, 0x16A8,
+    0x7DF1, 0x16D9,
+    0x7DE8, 0x170A,
+    0x7DDF, 0x173C,
+    0x7DD6, 0x176D,
+    0x7DCD, 0x179F,
+    0x7DC3, 0x17D0,
+    0x7DBA, 0x1802,
+    0x7DB0, 0x1833,
+    0x7DA7, 0x1864,
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+    0xDFF2, 0x7BEB,
+    0xDFC1, 0x7BDF,
+    0xDF91, 0x7BD2,
+    0xDF60, 0x7BC5,
+    0xDF2F, 0x7BB9,
+    0xDEFF, 0x7BAC,
+    0xDECE, 0x7B9F,
+    0xDE9E, 0x7B92,
+    0xDE6D, 0x7B84,
+    0xDE3D, 0x7B77,
+    0xDE0C, 0x7B6A,
+    0xDDDC, 0x7B5D,
+    0xDDAB, 0x7B4F,
+    0xDD7B, 0x7B42,
+    0xDD4B, 0x7B34,
+    0xDD1A, 0x7B26,
+    0xDCEA, 0x7B19,
+    0xDCBA, 0x7B0B,
+    0xDC89, 0x7AFD,
+    0xDC59, 0x7AEF,
+    0xDC29, 0x7AE1,
+    0xDBF8, 0x7AD3,
+    0xDBC8, 0x7AC5,
+    0xDB98, 0x7AB6,
+    0xDB68, 0x7AA8,
+    0xDB38, 0x7A9A,
+    0xDB08, 0x7A8B,
+    0xDAD7, 0x7A7D,
+    0xDAA7, 0x7A6E,
+    0xDA77, 0x7A5F,
+    0xDA47, 0x7A50,
+    0xDA17, 0x7A42,
+    0xD9E7, 0x7A33,
+    0xD9B7, 0x7A24,
+    0xD987, 0x7A15,
+    0xD957, 0x7A05,
+    0xD927, 0x79F6,
+    0xD8F8, 0x79E7,
+    0xD8C8, 0x79D8,
+    0xD898, 0x79C8,
+    0xD868, 0x79B9,
+    0xD838, 0x79A9,
+    0xD809, 0x7999,
+    0xD7D9, 0x798A,
+    0xD7A9, 0x797A,
+    0xD779, 0x796A,
+    0xD74A, 0x795A,
+    0xD71A, 0x794A,
+    0xD6EA, 0x793A,
+    0xD6BB, 0x792A,
+    0xD68B, 0x7919,
+    0xD65C, 0x7909,
+    0xD62C, 0x78F9,
+    0xD5FD, 0x78E8,
+    0xD5CD, 0x78D8,
+    0xD59E, 0x78C7,
+    0xD56E, 0x78B6,
+    0xD53F, 0x78A6,
+    0xD510, 0x7895,
+    0xD4E0, 0x7884,
+    0xD4B1, 0x7873,
+    0xD482, 0x7862,
+    0xD452, 0x7851,
+    0xD423, 0x7840,
+    0xD3F4, 0x782E,
+    0xD3C5, 0x781D,
+    0xD396, 0x780C,
+    0xD367, 0x77FA,
+    0xD337, 0x77E9,
+    0xD308, 0x77D7,
+    0xD2D9, 0x77C5,
+    0xD2AA, 0x77B4,
+    0xD27B, 0x77A2,
+    0xD24C, 0x7790,
+    0xD21D, 0x777E,
+    0xD1EE, 0x776C,
+    0xD1C0, 0x775A,
+    0xD191, 0x7747,
+    0xD162, 0x7735,
+    0xD133, 0x7723,
+    0xD104, 0x7710,
+    0xD0D6, 0x76FE,
+    0xD0A7, 0x76EB,
+    0xD078, 0x76D9,
+    0xD04A, 0x76C6,
+    0xD01B, 0x76B3,
+    0xCFEC, 0x76A0,
+    0xCFBE, 0x768E,
+    0xCF8F, 0x767B,
+    0xCF61, 0x7668,
+    0xCF32, 0x7654,
+    0xCF04, 0x7641,
+    0xCED5, 0x762E,
+    0xCEA7, 0x761B,
+    0xCE79, 0x7607,
+    0xCE4A, 0x75F4,
+    0xCE1C, 0x75E0,
+    0xCDEE, 0x75CC,
+    0xCDBF, 0x75B9,
+    0xCD91, 0x75A5,
+    0xCD63, 0x7591,
+    0xCD35, 0x757D,
+    0xCD07, 0x7569,
+    0xCCD9, 0x7555,
+    0xCCAB, 0x7541,
+    0xCC7D, 0x752D,
+    0xCC4F, 0x7519,
+    0xCC21, 0x7504,
+    0xCBF3, 0x74F0,
+    0xCBC5, 0x74DB,
+    0xCB97, 0x74C7,
+    0xCB69, 0x74B2,
+    0xCB3B, 0x749E,
+    0xCB0D, 0x7489,
+    0xCAE0, 0x7474,
+    0xCAB2, 0x745F,
+    0xCA84, 0x744A,
+    0xCA57, 0x7435,
+    0xCA29, 0x7420,
+    0xC9FB, 0x740B,
+    0xC9CE, 0x73F6,
+    0xC9A0, 0x73E0,
+    0xC973, 0x73CB,
+    0xC945, 0x73B5,
+    0xC918, 0x73A0,
+    0xC8EB, 0x738A,
+    0xC8BD, 0x7375,
+    0xC890, 0x735F,
+    0xC863, 0x7349,
+    0xC835, 0x7333,
+    0xC808, 0x731D,
+    0xC7DB, 0x7307,
+    0xC7AE, 0x72F1,
+    0xC781, 0x72DB,
+    0xC754, 0x72C5,
+    0xC727, 0x72AF,
+    0xC6F9, 0x7298,
+    0xC6CD, 0x7282,
+    0xC6A0, 0x726B,
+    0xC673, 0x7255,
+    0xC646, 0x723E,
+    0xC619, 0x7227,
+    0xC5EC, 0x7211,
+    0xC5BF, 0x71FA,
+    0xC593, 0x71E3,
+    0xC566, 0x71CC,
+    0xC539, 0x71B5,
+    0xC50D, 0x719E,
+    0xC4E0, 0x7186,
+    0xC4B3, 0x716F,
+    0xC487, 0x7158,
+    0xC45A, 0x7141,
+    0xC42E, 0x7129,
+    0xC402, 0x7112,
+    0xC3D5, 0x70FA,
+    0xC3A9, 0x70E2,
+    0xC37C, 0x70CB,
+    0xC350, 0x70B3,
+    0xC324, 0x709B,
+    0xC2F8, 0x7083,
+    0xC2CC, 0x706B,
+    0xC29F, 0x7053,
+    0xC273, 0x703B,
+    0xC247, 0x7023,
+    0xC21B, 0x700A,
+    0xC1EF, 0x6FF2,
+    0xC1C3, 0x6FDA,
+    0xC197, 0x6FC1,
+    0xC16C, 0x6FA9,
+    0xC140, 0x6F90,
+    0xC114, 0x6F77,
+    0xC0E8, 0x6F5F,
+    0xC0BC, 0x6F46,
+    0xC091, 0x6F2D,
+    0xC065, 0x6F14,
+    0xC03A, 0x6EFB,
+    0xC00E, 0x6EE2,
+    0xBFE2, 0x6EC9,
+    0xBFB7, 0x6EAF,
+    0xBF8C, 0x6E96,
+    0xBF60, 0x6E7D,
+    0xBF35, 0x6E63,
+    0xBF09, 0x6E4A,
+    0xBEDE, 0x6E30,
+    0xBEB3, 0x6E17,
+    0xBE88, 0x6DFD,
+    0xBE5D, 0x6DE3,
+    0xBE31, 0x6DCA,
+    0xBE06, 0x6DB0,
+    0xBDDB, 0x6D96,
+    0xBDB0, 0x6D7C,
+    0xBD85, 0x6D62,
+    0xBD5A, 0x6D48,
+    0xBD2F, 0x6D2D,
+    0xBD05, 0x6D13,
+    0xBCDA, 0x6CF9,
+    0xBCAF, 0x6CDE,
+    0xBC84, 0x6CC4,
+    0xBC5A, 0x6CA9,
+    0xBC2F, 0x6C8F,
+    0xBC04, 0x6C74,
+    0xBBDA, 0x6C59,
+    0xBBAF, 0x6C3F,
+    0xBB85, 0x6C24,
+    0xBB5A, 0x6C09,
+    0xBB30, 0x6BEE,
+    0xBB05, 0x6BD3,
+    0xBADB, 0x6BB8,
+    0xBAB1, 0x6B9C,
+    0xBA87, 0x6B81,
+    0xBA5C, 0x6B66,
+    0xBA32, 0x6B4A,
+    0xBA08, 0x6B2F,
+    0xB9DE, 0x6B13,
+    0xB9B4, 0x6AF8,
+    0xB98A, 0x6ADC,
+    0xB960, 0x6AC1,
+    0xB936, 0x6AA5,
+    0xB90C, 0x6A89,
+    0xB8E3, 0x6A6D,
+    0xB8B9, 0x6A51,
+    0xB88F, 0x6A35,
+    0xB865, 0x6A19,
+    0xB83C, 0x69FD,
+    0xB812, 0x69E1,
+    0xB7E9, 0x69C4,
+    0xB7BF, 0x69A8,
+    0xB796, 0x698C,
+    0xB76C, 0x696F,
+    0xB743, 0x6953,
+    0xB719, 0x6936,
+    0xB6F0, 0x6919,
+    0xB6C7, 0x68FD,
+    0xB69E, 0x68E0,
+    0xB675, 0x68C3,
+    0xB64B, 0x68A6,
+    0xB622, 0x6889,
+    0xB5F9, 0x686C,
+    0xB5D0, 0x684F,
+    0xB5A7, 0x6832,
+    0xB57E, 0x6815,
+    0xB556, 0x67F7,
+    0xB52D, 0x67DA,
+    0xB504, 0x67BD,
+    0xB4DB, 0x679F,
+    0xB4B3, 0x6782,
+    0xB48A, 0x6764,
+    0xB461, 0x6746,
+    0xB439, 0x6729,
+    0xB410, 0x670B,
+    0xB3E8, 0x66ED,
+    0xB3C0, 0x66CF,
+    0xB397, 0x66B1,
+    0xB36F, 0x6693,
+    0xB347, 0x6675,
+    0xB31E, 0x6657,
+    0xB2F6, 0x6639,
+    0xB2CE, 0x661A,
+    0xB2A6, 0x65FC,
+    0xB27E, 0x65DD,
+    0xB256, 0x65BF,
+    0xB22E, 0x65A0,
+    0xB206, 0x6582,
+    0xB1DE, 0x6563,
+    0xB1B7, 0x6545,
+    0xB18F, 0x6526,
+    0xB167, 0x6507,
+    0xB140, 0x64E8,
+    0xB118, 0x64C9,
+    0xB0F0, 0x64AA,
+    0xB0C9, 0x648B,
+    0xB0A1, 0x646C,
+    0xB07A, 0x644D,
+    0xB053, 0x642D,
+    0xB02B, 0x640E,
+    0xB004, 0x63EF,
+    0xAFDD, 0x63CF,
+    0xAFB6, 0x63B0,
+    0xAF8F, 0x6390,
+    0xAF68, 0x6371,
+    0xAF40, 0x6351,
+    0xAF1A, 0x6331,
+    0xAEF3, 0x6311,
+    0xAECC, 0x62F2,
+    0xAEA5, 0x62D2,
+    0xAE7E, 0x62B2,
+    0xAE57, 0x6292,
+    0xAE31, 0x6271,
+    0xAE0A, 0x6251,
+    0xADE3, 0x6231,
+    0xADBD, 0x6211,
+    0xAD96, 0x61F1,
+    0xAD70, 0x61D0,
+    0xAD4A, 0x61B0,
+    0xAD23, 0x618F,
+    0xACFD, 0x616F,
+    0xACD7, 0x614E,
+    0xACB1, 0x612D,
+    0xAC8A, 0x610D,
+    0xAC64, 0x60EC,
+    0xAC3E, 0x60CB,
+    0xAC18, 0x60AA,
+    0xABF2, 0x6089,
+    0xABCC, 0x6068,
+    0xABA7, 0x6047,
+    0xAB81, 0x6026,
+    0xAB5B, 0x6004,
+    0xAB35, 0x5FE3,
+    0xAB10, 0x5FC2,
+    0xAAEA, 0x5FA0,
+    0xAAC5, 0x5F7F,
+    0xAA9F, 0x5F5E,
+    0xAA7A, 0x5F3C,
+    0xAA54, 0x5F1A,
+    0xAA2F, 0x5EF9,
+    0xAA0A, 0x5ED7,
+    0xA9E5, 0x5EB5,
+    0xA9BF, 0x5E93,
+    0xA99A, 0x5E71,
+    0xA975, 0x5E50,
+    0xA950, 0x5E2D,
+    0xA92B, 0x5E0B,
+    0xA906, 0x5DE9,
+    0xA8E2, 0x5DC7,
+    0xA8BD, 0x5DA5,
+    0xA898, 0x5D83,
+    0xA873, 0x5D60,
+    0xA84F, 0x5D3E,
+    0xA82A, 0x5D1B,
+    0xA806, 0x5CF9,
+    0xA7E1, 0x5CD6,
+    0xA7BD, 0x5CB4,
+    0xA798, 0x5C91,
+    0xA774, 0x5C6E,
+    0xA750, 0x5C4B,
+    0xA72B, 0x5C29,
+    0xA707, 0x5C06,
+    0xA6E3, 0x5BE3,
+    0xA6BF, 0x5BC0,
+    0xA69B, 0x5B9D,
+    0xA677, 0x5B79,
+    0xA653, 0x5B56,
+    0xA62F, 0x5B33,
+    0xA60C, 0x5B10,
+    0xA5E8, 0x5AEC,
+    0xA5C4, 0x5AC9,
+    0xA5A1, 0x5AA5,
+    0xA57D, 0x5A82,
+    0xA55A, 0x5A5E,
+    0xA536, 0x5A3B,
+    0xA513, 0x5A17,
+    0xA4EF, 0x59F3,
+    0xA4CC, 0x59D0,
+    0xA4A9, 0x59AC,
+    0xA486, 0x5988,
+    0xA462, 0x5964,
+    0xA43F, 0x5940,
+    0xA41C, 0x591C,
+    0xA3F9, 0x58F8,
+    0xA3D6, 0x58D4,
+    0xA3B4, 0x58AF,
+    0xA391, 0x588B,
+    0xA36E, 0x5867,
+    0xA34B, 0x5842,
+    0xA329, 0x581E,
+    0xA306, 0x57F9,
+    0xA2E4, 0x57D5,
+    0xA2C1, 0x57B0,
+    0xA29F, 0x578C,
+    0xA27C, 0x5767,
+    0xA25A, 0x5742,
+    0xA238, 0x571D,
+    0xA216, 0x56F9,
+    0xA1F4, 0x56D4,
+    0xA1D2, 0x56AF,
+    0xA1AF, 0x568A,
+    0xA18E, 0x5665,
+    0xA16C, 0x5640,
+    0xA14A, 0x561A,
+    0xA128, 0x55F5,
+    0xA106, 0x55D0,
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+    0xA0C3, 0x5585,
+    0xA0A1, 0x5560,
+    0xA080, 0x553A,
+    0xA05F, 0x5515,
+    0xA03D, 0x54EF,
+    0xA01C, 0x54CA,
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+    0x9F97, 0x5433,
+    0x9F76, 0x540D,
+    0x9F55, 0x53E7,
+    0x9F34, 0x53C1,
+    0x9F13, 0x539B,
+    0x9EF2, 0x5375,
+    0x9ED2, 0x534E,
+    0x9EB1, 0x5328,
+    0x9E90, 0x5302,
+    0x9E70, 0x52DC,
+    0x9E4F, 0x52B5,
+    0x9E2F, 0x528F,
+    0x9E0E, 0x5269,
+    0x9DEE, 0x5242,
+    0x9DCE, 0x521C,
+    0x9DAE, 0x51F5,
+    0x9D8E, 0x51CE,
+    0x9D6D, 0x51A8,
+    0x9D4D, 0x5181,
+    0x9D2D, 0x515A,
+    0x9D0D, 0x5133,
+    0x9CEE, 0x510C,
+    0x9CCE, 0x50E5,
+    0x9CAE, 0x50BF,
+    0x9C8E, 0x5097,
+    0x9C6F, 0x5070,
+    0x9C4F, 0x5049,
+    0x9C30, 0x5022,
+    0x9C10, 0x4FFB,
+    0x9BF1, 0x4FD4,
+    0x9BD2, 0x4FAC,
+    0x9BB2, 0x4F85,
+    0x9B93, 0x4F5E,
+    0x9B74, 0x4F36,
+    0x9B55, 0x4F0F,
+    0x9B36, 0x4EE7,
+    0x9B17, 0x4EBF,
+    0x9AF8, 0x4E98,
+    0x9AD9, 0x4E70,
+    0x9ABA, 0x4E48,
+    0x9A9C, 0x4E21,
+    0x9A7D, 0x4DF9,
+    0x9A5F, 0x4DD1,
+    0x9A40, 0x4DA9,
+    0x9A22, 0x4D81,
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+    0x99E5, 0x4D31,
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+    0x99A8, 0x4CE1,
+    0x998A, 0x4CB8,
+    0x996C, 0x4C90,
+    0x994E, 0x4C68,
+    0x9930, 0x4C3F,
+    0x9912, 0x4C17,
+    0x98F4, 0x4BEF,
+    0x98D6, 0x4BC6,
+    0x98B9, 0x4B9E,
+    0x989B, 0x4B75,
+    0x987D, 0x4B4C,
+    0x9860, 0x4B24,
+    0x9842, 0x4AFB,
+    0x9825, 0x4AD2,
+    0x9808, 0x4AA9,
+    0x97EA, 0x4A81,
+    0x97CD, 0x4A58,
+    0x97B0, 0x4A2F,
+    0x9793, 0x4A06,
+    0x9776, 0x49DD,
+    0x9759, 0x49B4,
+    0x973C, 0x498A,
+    0x971F, 0x4961,
+    0x9702, 0x4938,
+    0x96E6, 0x490F,
+    0x96C9, 0x48E6,
+    0x96AC, 0x48BC,
+    0x9690, 0x4893,
+    0x9673, 0x4869,
+    0x9657, 0x4840,
+    0x963B, 0x4816,
+    0x961E, 0x47ED,
+    0x9602, 0x47C3,
+    0x95E6, 0x479A,
+    0x95CA, 0x4770,
+    0x95AE, 0x4746,
+    0x9592, 0x471C,
+    0x9576, 0x46F3,
+    0x955A, 0x46C9,
+    0x953E, 0x469F,
+    0x9523, 0x4675,
+    0x9507, 0x464B,
+    0x94EC, 0x4621,
+    0x94D0, 0x45F7,
+    0x94B5, 0x45CD,
+    0x9499, 0x45A3,
+    0x947E, 0x4578,
+    0x9463, 0x454E,
+    0x9447, 0x4524,
+    0x942C, 0x44FA,
+    0x9411, 0x44CF,
+    0x93F6, 0x44A5,
+    0x93DB, 0x447A,
+    0x93C0, 0x4450,
+    0x93A6, 0x4425,
+    0x938B, 0x43FB,
+    0x9370, 0x43D0,
+    0x9356, 0x43A5,
+    0x933B, 0x437B,
+    0x9321, 0x4350,
+    0x9306, 0x4325,
+    0x92EC, 0x42FA,
+    0x92D2, 0x42D0,
+    0x92B7, 0x42A5,
+    0x929D, 0x427A,
+    0x9283, 0x424F,
+    0x9269, 0x4224,
+    0x924F, 0x41F9,
+    0x9235, 0x41CE,
+    0x921C, 0x41A2,
+    0x9202, 0x4177,
+    0x91E8, 0x414C,
+    0x91CF, 0x4121,
+    0x91B5, 0x40F6,
+    0x919C, 0x40CA,
+    0x9182, 0x409F,
+    0x9169, 0x4073,
+    0x9150, 0x4048,
+    0x9136, 0x401D,
+    0x911D, 0x3FF1,
+    0x9104, 0x3FC5,
+    0x90EB, 0x3F9A,
+    0x90D2, 0x3F6E,
+    0x90B9, 0x3F43,
+    0x90A0, 0x3F17,
+    0x9088, 0x3EEB,
+    0x906F, 0x3EBF,
+    0x9056, 0x3E93,
+    0x903E, 0x3E68,
+    0x9025, 0x3E3C,
+    0x900D, 0x3E10,
+    0x8FF5, 0x3DE4,
+    0x8FDC, 0x3DB8,
+    0x8FC4, 0x3D8C,
+    0x8FAC, 0x3D60,
+    0x8F94, 0x3D33,
+    0x8F7C, 0x3D07,
+    0x8F64, 0x3CDB,
+    0x8F4C, 0x3CAF,
+    0x8F34, 0x3C83,
+    0x8F1D, 0x3C56,
+    0x8F05, 0x3C2A,
+    0x8EED, 0x3BFD,
+    0x8ED6, 0x3BD1,
+    0x8EBE, 0x3BA5,
+    0x8EA7, 0x3B78,
+    0x8E90, 0x3B4C,
+    0x8E79, 0x3B1F,
+    0x8E61, 0x3AF2,
+    0x8E4A, 0x3AC6,
+    0x8E33, 0x3A99,
+    0x8E1C, 0x3A6C,
+    0x8E05, 0x3A40,
+    0x8DEE, 0x3A13,
+    0x8DD8, 0x39E6,
+    0x8DC1, 0x39B9,
+    0x8DAA, 0x398C,
+    0x8D94, 0x395F,
+    0x8D7D, 0x3932,
+    0x8D67, 0x3906,
+    0x8D50, 0x38D8,
+    0x8D3A, 0x38AB,
+    0x8D24, 0x387E,
+    0x8D0E, 0x3851,
+    0x8CF8, 0x3824,
+    0x8CE2, 0x37F7,
+    0x8CCC, 0x37CA,
+    0x8CB6, 0x379C,
+    0x8CA0, 0x376F,
+    0x8C8A, 0x3742,
+    0x8C75, 0x3714,
+    0x8C5F, 0x36E7,
+    0x8C4A, 0x36BA,
+    0x8C34, 0x368C,
+    0x8C1F, 0x365F,
+    0x8C09, 0x3631,
+    0x8BF4, 0x3604,
+    0x8BDF, 0x35D6,
+    0x8BCA, 0x35A8,
+    0x8BB5, 0x357B,
+    0x8BA0, 0x354D,
+    0x8B8B, 0x351F,
+    0x8B76, 0x34F2,
+    0x8B61, 0x34C4,
+    0x8B4D, 0x3496,
+    0x8B38, 0x3468,
+    0x8B24, 0x343A,
+    0x8B0F, 0x340C,
+    0x8AFB, 0x33DE,
+    0x8AE6, 0x33B0,
+    0x8AD2, 0x3382,
+    0x8ABE, 0x3354,
+    0x8AAA, 0x3326,
+    0x8A96, 0x32F8,
+    0x8A82, 0x32CA,
+    0x8A6E, 0x329C,
+    0x8A5A, 0x326E,
+    0x8A46, 0x3240,
+    0x8A33, 0x3211,
+    0x8A1F, 0x31E3,
+    0x8A0B, 0x31B5,
+    0x89F8, 0x3186,
+    0x89E4, 0x3158,
+    0x89D1, 0x312A,
+    0x89BE, 0x30FB,
+    0x89AB, 0x30CD,
+    0x8997, 0x309E,
+    0x8984, 0x3070,
+    0x8971, 0x3041,
+    0x895F, 0x3013,
+    0x894C, 0x2FE4,
+    0x8939, 0x2FB5,
+    0x8926, 0x2F87,
+    0x8914, 0x2F58,
+    0x8901, 0x2F29,
+    0x88EF, 0x2EFB,
+    0x88DC, 0x2ECC,
+    0x88CA, 0x2E9D,
+    0x88B8, 0x2E6E,
+    0x88A5, 0x2E3F,
+    0x8893, 0x2E11,
+    0x8881, 0x2DE2,
+    0x886F, 0x2DB3,
+    0x885D, 0x2D84,
+    0x884B, 0x2D55,
+    0x883A, 0x2D26,
+    0x8828, 0x2CF7,
+    0x8816, 0x2CC8,
+    0x8805, 0x2C98,
+    0x87F3, 0x2C69,
+    0x87E2, 0x2C3A,
+    0x87D1, 0x2C0B,
+    0x87BF, 0x2BDC,
+    0x87AE, 0x2BAD,
+    0x879D, 0x2B7D,
+    0x878C, 0x2B4E,
+    0x877B, 0x2B1F,
+    0x876A, 0x2AEF,
+    0x8759, 0x2AC0,
+    0x8749, 0x2A91,
+    0x8738, 0x2A61,
+    0x8727, 0x2A32,
+    0x8717, 0x2A02,
+    0x8706, 0x29D3,
+    0x86F6, 0x29A3,
+    0x86E6, 0x2974,
+    0x86D5, 0x2944,
+    0x86C5, 0x2915,
+    0x86B5, 0x28E5,
+    0x86A5, 0x28B5,
+    0x8695, 0x2886,
+    0x8685, 0x2856,
+    0x8675, 0x2826,
+    0x8666, 0x27F6,
+    0x8656, 0x27C7,
+    0x8646, 0x2797,
+    0x8637, 0x2767,
+    0x8627, 0x2737,
+    0x8618, 0x2707,
+    0x8609, 0x26D8,
+    0x85FA, 0x26A8,
+    0x85EA, 0x2678,
+    0x85DB, 0x2648,
+    0x85CC, 0x2618,
+    0x85BD, 0x25E8,
+    0x85AF, 0x25B8,
+    0x85A0, 0x2588,
+    0x8591, 0x2558,
+    0x8582, 0x2528,
+    0x8574, 0x24F7,
+    0x8565, 0x24C7,
+    0x8557, 0x2497,
+    0x8549, 0x2467,
+    0x853A, 0x2437,
+    0x852C, 0x2407,
+    0x851E, 0x23D6,
+    0x8510, 0x23A6,
+    0x8502, 0x2376,
+    0x84F4, 0x2345,
+    0x84E6, 0x2315,
+    0x84D9, 0x22E5,
+    0x84CB, 0x22B4,
+    0x84BD, 0x2284,
+    0x84B0, 0x2254,
+    0x84A2, 0x2223,
+    0x8495, 0x21F3,
+    0x8488, 0x21C2,
+    0x847B, 0x2192,
+    0x846D, 0x2161,
+    0x8460, 0x2131,
+    0x8453, 0x2100,
+    0x8446, 0x20D0,
+    0x843A, 0x209F,
+    0x842D, 0x206E,
+    0x8420, 0x203E,
+    0x8414, 0x200D,
+    0x8407, 0x1FDC,
+    0x83FA, 0x1FAC,
+    0x83EE, 0x1F7B,
+    0x83E2, 0x1F4A,
+    0x83D6, 0x1F19,
+    0x83C9, 0x1EE9,
+    0x83BD, 0x1EB8,
+    0x83B1, 0x1E87,
+    0x83A5, 0x1E56,
+    0x8399, 0x1E25,
+    0x838E, 0x1DF5,
+    0x8382, 0x1DC4,
+    0x8376, 0x1D93,
+    0x836B, 0x1D62,
+    0x835F, 0x1D31,
+    0x8354, 0x1D00,
+    0x8348, 0x1CCF,
+    0x833D, 0x1C9E,
+    0x8332, 0x1C6D,
+    0x8327, 0x1C3C,
+    0x831C, 0x1C0B,
+    0x8311, 0x1BDA,
+    0x8306, 0x1BA9,
+    0x82FB, 0x1B78,
+    0x82F0, 0x1B47,
+    0x82E6, 0x1B16,
+    0x82DB, 0x1AE4,
+    0x82D0, 0x1AB3,
+    0x82C6, 0x1A82,
+    0x82BC, 0x1A51,
+    0x82B1, 0x1A20,
+    0x82A7, 0x19EF,
+    0x829D, 0x19BD,
+    0x8293, 0x198C,
+    0x8289, 0x195B,
+    0x827F, 0x192A,
+    0x8275, 0x18F8,
+    0x826B, 0x18C7,
+    0x8262, 0x1896,
+    0x8258, 0x1864,
+    0x824F, 0x1833,
+    0x8245, 0x1802,
+    0x823C, 0x17D0,
+    0x8232, 0x179F,
+    0x8229, 0x176D,
+    0x8220, 0x173C,
+    0x8217, 0x170A,
+    0x820E, 0x16D9,
+    0x8205, 0x16A8,
+    0x81FC, 0x1676,
+    0x81F3, 0x1645,
+    0x81EB, 0x1613,
+    0x81E2, 0x15E2,
+    0x81D9, 0x15B0,
+    0x81D1, 0x157F,
+    0x81C8, 0x154D,
+    0x81C0, 0x151B,
+    0x81B8, 0x14EA,
+    0x81B0, 0x14B8,
+    0x81A8, 0x1487,
+    0x81A0, 0x1455,
+    0x8198, 0x1423,
+    0x8190, 0x13F2,
+    0x8188, 0x13C0,
+    0x8180, 0x138E,
+    0x8179, 0x135D,
+    0x8171, 0x132B,
+    0x816A, 0x12F9,
+    0x8162, 0x12C8,
+    0x815B, 0x1296,
+    0x8154, 0x1264,
+    0x814C, 0x1232,
+    0x8145, 0x1201,
+    0x813E, 0x11CF,
+    0x8137, 0x119D,
+    0x8130, 0x116B,
+    0x812A, 0x1139,
+    0x8123, 0x1108,
+    0x811C, 0x10D6,
+    0x8116, 0x10A4,
+    0x810F, 0x1072,
+    0x8109, 0x1040,
+    0x8102, 0x100E,
+    0x80FC, 0x0FDD,
+    0x80F6, 0x0FAB,
+    0x80F0, 0x0F79,
+    0x80EA, 0x0F47,
+    0x80E4, 0x0F15,
+    0x80DE, 0x0EE3,
+    0x80D8, 0x0EB1,
+    0x80D2, 0x0E7F,
+    0x80CD, 0x0E4D,
+    0x80C7, 0x0E1B,
+    0x80C2, 0x0DE9,
+    0x80BC, 0x0DB7,
+    0x80B7, 0x0D85,
+    0x80B2, 0x0D53,
+    0x80AC, 0x0D21,
+    0x80A7, 0x0CEF,
+    0x80A2, 0x0CBD,
+    0x809D, 0x0C8B,
+    0x8098, 0x0C59,
+    0x8094, 0x0C27,
+    0x808F, 0x0BF5,
+    0x808A, 0x0BC3,
+    0x8086, 0x0B91,
+    0x8081, 0x0B5F,
+    0x807D, 0x0B2D,
+    0x8078, 0x0AFB,
+    0x8074, 0x0AC9,
+    0x8070, 0x0A97,
+    0x806C, 0x0A65,
+    0x8068, 0x0A33,
+    0x8064, 0x0A00,
+    0x8060, 0x09CE,
+    0x805C, 0x099C,
+    0x8058, 0x096A,
+    0x8055, 0x0938,
+    0x8051, 0x0906,
+    0x804E, 0x08D4,
+    0x804A, 0x08A2,
+    0x8047, 0x086F,
+    0x8043, 0x083D,
+    0x8040, 0x080B,
+    0x803D, 0x07D9,
+    0x803A, 0x07A7,
+    0x8037, 0x0775,
+    0x8034, 0x0742,
+    0x8031, 0x0710,
+    0x802F, 0x06DE,
+    0x802C, 0x06AC,
+    0x8029, 0x067A,
+    0x8027, 0x0647,
+    0x8025, 0x0615,
+    0x8022, 0x05E3,
+    0x8020, 0x05B1,
+    0x801E, 0x057F,
+    0x801C, 0x054C,
+    0x801A, 0x051A,
+    0x8018, 0x04E8,
+    0x8016, 0x04B6,
+    0x8014, 0x0483,
+    0x8012, 0x0451,
+    0x8011, 0x041F,
+    0x800F, 0x03ED,
+    0x800D, 0x03BA,
+    0x800C, 0x0388,
+    0x800B, 0x0356,
+    0x8009, 0x0324,
+    0x8008, 0x02F1,
+    0x8007, 0x02BF,
+    0x8006, 0x028D,
+    0x8005, 0x025B,
+    0x8004, 0x0228,
+    0x8003, 0x01F6,
+    0x8003, 0x01C4,
+    0x8002, 0x0192,
+    0x8001, 0x015F,
+    0x8001, 0x012D,
+    0x8000, 0x00FB,
+    0x8000, 0x00C9,
+    0x8000, 0x0096,
+    0x8000, 0x0064,
+    0x8000, 0x0032,
+    0x8000, 0x0000,
+    0x8000, 0xFFCD,
+    0x8000, 0xFF9B,
+    0x8000, 0xFF69,
+    0x8000, 0xFF36,
+    0x8000, 0xFF04,
+    0x8001, 0xFED2,
+    0x8001, 0xFEA0,
+    0x8002, 0xFE6D,
+    0x8003, 0xFE3B,
+    0x8003, 0xFE09,
+    0x8004, 0xFDD7,
+    0x8005, 0xFDA4,
+    0x8006, 0xFD72,
+    0x8007, 0xFD40,
+    0x8008, 0xFD0E,
+    0x8009, 0xFCDB,
+    0x800B, 0xFCA9,
+    0x800C, 0xFC77,
+    0x800D, 0xFC45,
+    0x800F, 0xFC12,
+    0x8011, 0xFBE0,
+    0x8012, 0xFBAE,
+    0x8014, 0xFB7C,
+    0x8016, 0xFB49,
+    0x8018, 0xFB17,
+    0x801A, 0xFAE5,
+    0x801C, 0xFAB3,
+    0x801E, 0xFA80,
+    0x8020, 0xFA4E,
+    0x8022, 0xFA1C,
+    0x8025, 0xF9EA,
+    0x8027, 0xF9B8,
+    0x8029, 0xF985,
+    0x802C, 0xF953,
+    0x802F, 0xF921,
+    0x8031, 0xF8EF,
+    0x8034, 0xF8BD,
+    0x8037, 0xF88A,
+    0x803A, 0xF858,
+    0x803D, 0xF826,
+    0x8040, 0xF7F4,
+    0x8043, 0xF7C2,
+    0x8047, 0xF790,
+    0x804A, 0xF75D,
+    0x804E, 0xF72B,
+    0x8051, 0xF6F9,
+    0x8055, 0xF6C7,
+    0x8058, 0xF695,
+    0x805C, 0xF663,
+    0x8060, 0xF631,
+    0x8064, 0xF5FF,
+    0x8068, 0xF5CC,
+    0x806C, 0xF59A,
+    0x8070, 0xF568,
+    0x8074, 0xF536,
+    0x8078, 0xF504,
+    0x807D, 0xF4D2,
+    0x8081, 0xF4A0,
+    0x8086, 0xF46E,
+    0x808A, 0xF43C,
+    0x808F, 0xF40A,
+    0x8094, 0xF3D8,
+    0x8098, 0xF3A6,
+    0x809D, 0xF374,
+    0x80A2, 0xF342,
+    0x80A7, 0xF310,
+    0x80AC, 0xF2DE,
+    0x80B2, 0xF2AC,
+    0x80B7, 0xF27A,
+    0x80BC, 0xF248,
+    0x80C2, 0xF216,
+    0x80C7, 0xF1E4,
+    0x80CD, 0xF1B2,
+    0x80D2, 0xF180,
+    0x80D8, 0xF14E,
+    0x80DE, 0xF11C,
+    0x80E4, 0xF0EA,
+    0x80EA, 0xF0B8,
+    0x80F0, 0xF086,
+    0x80F6, 0xF054,
+    0x80FC, 0xF022,
+    0x8102, 0xEFF1,
+    0x8109, 0xEFBF,
+    0x810F, 0xEF8D,
+    0x8116, 0xEF5B,
+    0x811C, 0xEF29,
+    0x8123, 0xEEF7,
+    0x812A, 0xEEC6,
+    0x8130, 0xEE94,
+    0x8137, 0xEE62,
+    0x813E, 0xEE30,
+    0x8145, 0xEDFE,
+    0x814C, 0xEDCD,
+    0x8154, 0xED9B,
+    0x815B, 0xED69,
+    0x8162, 0xED37,
+    0x816A, 0xED06,
+    0x8171, 0xECD4,
+    0x8179, 0xECA2,
+    0x8180, 0xEC71,
+    0x8188, 0xEC3F,
+    0x8190, 0xEC0D,
+    0x8198, 0xEBDC,
+    0x81A0, 0xEBAA,
+    0x81A8, 0xEB78,
+    0x81B0, 0xEB47,
+    0x81B8, 0xEB15,
+    0x81C0, 0xEAE4,
+    0x81C8, 0xEAB2,
+    0x81D1, 0xEA80,
+    0x81D9, 0xEA4F,
+    0x81E2, 0xEA1D,
+    0x81EB, 0xE9EC,
+    0x81F3, 0xE9BA,
+    0x81FC, 0xE989,
+    0x8205, 0xE957,
+    0x820E, 0xE926,
+    0x8217, 0xE8F5,
+    0x8220, 0xE8C3,
+    0x8229, 0xE892,
+    0x8232, 0xE860,
+    0x823C, 0xE82F,
+    0x8245, 0xE7FD,
+    0x824F, 0xE7CC,
+    0x8258, 0xE79B,
+    0x8262, 0xE769,
+    0x826B, 0xE738,
+    0x8275, 0xE707,
+    0x827F, 0xE6D5,
+    0x8289, 0xE6A4,
+    0x8293, 0xE673,
+    0x829D, 0xE642,
+    0x82A7, 0xE610,
+    0x82B1, 0xE5DF,
+    0x82BC, 0xE5AE,
+    0x82C6, 0xE57D,
+    0x82D0, 0xE54C,
+    0x82DB, 0xE51B,
+    0x82E6, 0xE4E9,
+    0x82F0, 0xE4B8,
+    0x82FB, 0xE487,
+    0x8306, 0xE456,
+    0x8311, 0xE425,
+    0x831C, 0xE3F4,
+    0x8327, 0xE3C3,
+    0x8332, 0xE392,
+    0x833D, 0xE361,
+    0x8348, 0xE330,
+    0x8354, 0xE2FF,
+    0x835F, 0xE2CE,
+    0x836B, 0xE29D,
+    0x8376, 0xE26C,
+    0x8382, 0xE23B,
+    0x838E, 0xE20A,
+    0x8399, 0xE1DA,
+    0x83A5, 0xE1A9,
+    0x83B1, 0xE178,
+    0x83BD, 0xE147,
+    0x83C9, 0xE116,
+    0x83D6, 0xE0E6,
+    0x83E2, 0xE0B5,
+    0x83EE, 0xE084,
+    0x83FA, 0xE053,
+    0x8407, 0xE023,
+    0x8414, 0xDFF2,
+    0x8420, 0xDFC1,
+    0x842D, 0xDF91,
+    0x843A, 0xDF60,
+    0x8446, 0xDF2F,
+    0x8453, 0xDEFF,
+    0x8460, 0xDECE,
+    0x846D, 0xDE9E,
+    0x847B, 0xDE6D,
+    0x8488, 0xDE3D,
+    0x8495, 0xDE0C,
+    0x84A2, 0xDDDC,
+    0x84B0, 0xDDAB,
+    0x84BD, 0xDD7B,
+    0x84CB, 0xDD4B,
+    0x84D9, 0xDD1A,
+    0x84E6, 0xDCEA,
+    0x84F4, 0xDCBA,
+    0x8502, 0xDC89,
+    0x8510, 0xDC59,
+    0x851E, 0xDC29,
+    0x852C, 0xDBF8,
+    0x853A, 0xDBC8,
+    0x8549, 0xDB98,
+    0x8557, 0xDB68,
+    0x8565, 0xDB38,
+    0x8574, 0xDB08,
+    0x8582, 0xDAD7,
+    0x8591, 0xDAA7,
+    0x85A0, 0xDA77,
+    0x85AF, 0xDA47,
+    0x85BD, 0xDA17,
+    0x85CC, 0xD9E7,
+    0x85DB, 0xD9B7,
+    0x85EA, 0xD987,
+    0x85FA, 0xD957,
+    0x8609, 0xD927,
+    0x8618, 0xD8F8,
+    0x8627, 0xD8C8,
+    0x8637, 0xD898,
+    0x8646, 0xD868,
+    0x8656, 0xD838,
+    0x8666, 0xD809,
+    0x8675, 0xD7D9,
+    0x8685, 0xD7A9,
+    0x8695, 0xD779,
+    0x86A5, 0xD74A,
+    0x86B5, 0xD71A,
+    0x86C5, 0xD6EA,
+    0x86D5, 0xD6BB,
+    0x86E6, 0xD68B,
+    0x86F6, 0xD65C,
+    0x8706, 0xD62C,
+    0x8717, 0xD5FD,
+    0x8727, 0xD5CD,
+    0x8738, 0xD59E,
+    0x8749, 0xD56E,
+    0x8759, 0xD53F,
+    0x876A, 0xD510,
+    0x877B, 0xD4E0,
+    0x878C, 0xD4B1,
+    0x879D, 0xD482,
+    0x87AE, 0xD452,
+    0x87BF, 0xD423,
+    0x87D1, 0xD3F4,
+    0x87E2, 0xD3C5,
+    0x87F3, 0xD396,
+    0x8805, 0xD367,
+    0x8816, 0xD337,
+    0x8828, 0xD308,
+    0x883A, 0xD2D9,
+    0x884B, 0xD2AA,
+    0x885D, 0xD27B,
+    0x886F, 0xD24C,
+    0x8881, 0xD21D,
+    0x8893, 0xD1EE,
+    0x88A5, 0xD1C0,
+    0x88B8, 0xD191,
+    0x88CA, 0xD162,
+    0x88DC, 0xD133,
+    0x88EF, 0xD104,
+    0x8901, 0xD0D6,
+    0x8914, 0xD0A7,
+    0x8926, 0xD078,
+    0x8939, 0xD04A,
+    0x894C, 0xD01B,
+    0x895F, 0xCFEC,
+    0x8971, 0xCFBE,
+    0x8984, 0xCF8F,
+    0x8997, 0xCF61,
+    0x89AB, 0xCF32,
+    0x89BE, 0xCF04,
+    0x89D1, 0xCED5,
+    0x89E4, 0xCEA7,
+    0x89F8, 0xCE79,
+    0x8A0B, 0xCE4A,
+    0x8A1F, 0xCE1C,
+    0x8A33, 0xCDEE,
+    0x8A46, 0xCDBF,
+    0x8A5A, 0xCD91,
+    0x8A6E, 0xCD63,
+    0x8A82, 0xCD35,
+    0x8A96, 0xCD07,
+    0x8AAA, 0xCCD9,
+    0x8ABE, 0xCCAB,
+    0x8AD2, 0xCC7D,
+    0x8AE6, 0xCC4F,
+    0x8AFB, 0xCC21,
+    0x8B0F, 0xCBF3,
+    0x8B24, 0xCBC5,
+    0x8B38, 0xCB97,
+    0x8B4D, 0xCB69,
+    0x8B61, 0xCB3B,
+    0x8B76, 0xCB0D,
+    0x8B8B, 0xCAE0,
+    0x8BA0, 0xCAB2,
+    0x8BB5, 0xCA84,
+    0x8BCA, 0xCA57,
+    0x8BDF, 0xCA29,
+    0x8BF4, 0xC9FB,
+    0x8C09, 0xC9CE,
+    0x8C1F, 0xC9A0,
+    0x8C34, 0xC973,
+    0x8C4A, 0xC945,
+    0x8C5F, 0xC918,
+    0x8C75, 0xC8EB,
+    0x8C8A, 0xC8BD,
+    0x8CA0, 0xC890,
+    0x8CB6, 0xC863,
+    0x8CCC, 0xC835,
+    0x8CE2, 0xC808,
+    0x8CF8, 0xC7DB,
+    0x8D0E, 0xC7AE,
+    0x8D24, 0xC781,
+    0x8D3A, 0xC754,
+    0x8D50, 0xC727,
+    0x8D67, 0xC6F9,
+    0x8D7D, 0xC6CD,
+    0x8D94, 0xC6A0,
+    0x8DAA, 0xC673,
+    0x8DC1, 0xC646,
+    0x8DD8, 0xC619,
+    0x8DEE, 0xC5EC,
+    0x8E05, 0xC5BF,
+    0x8E1C, 0xC593,
+    0x8E33, 0xC566,
+    0x8E4A, 0xC539,
+    0x8E61, 0xC50D,
+    0x8E79, 0xC4E0,
+    0x8E90, 0xC4B3,
+    0x8EA7, 0xC487,
+    0x8EBE, 0xC45A,
+    0x8ED6, 0xC42E,
+    0x8EED, 0xC402,
+    0x8F05, 0xC3D5,
+    0x8F1D, 0xC3A9,
+    0x8F34, 0xC37C,
+    0x8F4C, 0xC350,
+    0x8F64, 0xC324,
+    0x8F7C, 0xC2F8,
+    0x8F94, 0xC2CC,
+    0x8FAC, 0xC29F,
+    0x8FC4, 0xC273,
+    0x8FDC, 0xC247,
+    0x8FF5, 0xC21B,
+    0x900D, 0xC1EF,
+    0x9025, 0xC1C3,
+    0x903E, 0xC197,
+    0x9056, 0xC16C,
+    0x906F, 0xC140,
+    0x9088, 0xC114,
+    0x90A0, 0xC0E8,
+    0x90B9, 0xC0BC,
+    0x90D2, 0xC091,
+    0x90EB, 0xC065,
+    0x9104, 0xC03A,
+    0x911D, 0xC00E,
+    0x9136, 0xBFE2,
+    0x9150, 0xBFB7,
+    0x9169, 0xBF8C,
+    0x9182, 0xBF60,
+    0x919C, 0xBF35,
+    0x91B5, 0xBF09,
+    0x91CF, 0xBEDE,
+    0x91E8, 0xBEB3,
+    0x9202, 0xBE88,
+    0x921C, 0xBE5D,
+    0x9235, 0xBE31,
+    0x924F, 0xBE06,
+    0x9269, 0xBDDB,
+    0x9283, 0xBDB0,
+    0x929D, 0xBD85,
+    0x92B7, 0xBD5A,
+    0x92D2, 0xBD2F,
+    0x92EC, 0xBD05,
+    0x9306, 0xBCDA,
+    0x9321, 0xBCAF,
+    0x933B, 0xBC84,
+    0x9356, 0xBC5A,
+    0x9370, 0xBC2F,
+    0x938B, 0xBC04,
+    0x93A6, 0xBBDA,
+    0x93C0, 0xBBAF,
+    0x93DB, 0xBB85,
+    0x93F6, 0xBB5A,
+    0x9411, 0xBB30,
+    0x942C, 0xBB05,
+    0x9447, 0xBADB,
+    0x9463, 0xBAB1,
+    0x947E, 0xBA87,
+    0x9499, 0xBA5C,
+    0x94B5, 0xBA32,
+    0x94D0, 0xBA08,
+    0x94EC, 0xB9DE,
+    0x9507, 0xB9B4,
+    0x9523, 0xB98A,
+    0x953E, 0xB960,
+    0x955A, 0xB936,
+    0x9576, 0xB90C,
+    0x9592, 0xB8E3,
+    0x95AE, 0xB8B9,
+    0x95CA, 0xB88F,
+    0x95E6, 0xB865,
+    0x9602, 0xB83C,
+    0x961E, 0xB812,
+    0x963B, 0xB7E9,
+    0x9657, 0xB7BF,
+    0x9673, 0xB796,
+    0x9690, 0xB76C,
+    0x96AC, 0xB743,
+    0x96C9, 0xB719,
+    0x96E6, 0xB6F0,
+    0x9702, 0xB6C7,
+    0x971F, 0xB69E,
+    0x973C, 0xB675,
+    0x9759, 0xB64B,
+    0x9776, 0xB622,
+    0x9793, 0xB5F9,
+    0x97B0, 0xB5D0,
+    0x97CD, 0xB5A7,
+    0x97EA, 0xB57E,
+    0x9808, 0xB556,
+    0x9825, 0xB52D,
+    0x9842, 0xB504,
+    0x9860, 0xB4DB,
+    0x987D, 0xB4B3,
+    0x989B, 0xB48A,
+    0x98B9, 0xB461,
+    0x98D6, 0xB439,
+    0x98F4, 0xB410,
+    0x9912, 0xB3E8,
+    0x9930, 0xB3C0,
+    0x994E, 0xB397,
+    0x996C, 0xB36F,
+    0x998A, 0xB347,
+    0x99A8, 0xB31E,
+    0x99C6, 0xB2F6,
+    0x99E5, 0xB2CE,
+    0x9A03, 0xB2A6,
+    0x9A22, 0xB27E,
+    0x9A40, 0xB256,
+    0x9A5F, 0xB22E,
+    0x9A7D, 0xB206,
+    0x9A9C, 0xB1DE,
+    0x9ABA, 0xB1B7,
+    0x9AD9, 0xB18F,
+    0x9AF8, 0xB167,
+    0x9B17, 0xB140,
+    0x9B36, 0xB118,
+    0x9B55, 0xB0F0,
+    0x9B74, 0xB0C9,
+    0x9B93, 0xB0A1,
+    0x9BB2, 0xB07A,
+    0x9BD2, 0xB053,
+    0x9BF1, 0xB02B,
+    0x9C10, 0xB004,
+    0x9C30, 0xAFDD,
+    0x9C4F, 0xAFB6,
+    0x9C6F, 0xAF8F,
+    0x9C8E, 0xAF68,
+    0x9CAE, 0xAF40,
+    0x9CCE, 0xAF1A,
+    0x9CEE, 0xAEF3,
+    0x9D0D, 0xAECC,
+    0x9D2D, 0xAEA5,
+    0x9D4D, 0xAE7E,
+    0x9D6D, 0xAE57,
+    0x9D8E, 0xAE31,
+    0x9DAE, 0xAE0A,
+    0x9DCE, 0xADE3,
+    0x9DEE, 0xADBD,
+    0x9E0E, 0xAD96,
+    0x9E2F, 0xAD70,
+    0x9E4F, 0xAD4A,
+    0x9E70, 0xAD23,
+    0x9E90, 0xACFD,
+    0x9EB1, 0xACD7,
+    0x9ED2, 0xACB1,
+    0x9EF2, 0xAC8A,
+    0x9F13, 0xAC64,
+    0x9F34, 0xAC3E,
+    0x9F55, 0xAC18,
+    0x9F76, 0xABF2,
+    0x9F97, 0xABCC,
+    0x9FB8, 0xABA7,
+    0x9FD9, 0xAB81,
+    0x9FFB, 0xAB5B,
+    0xA01C, 0xAB35,
+    0xA03D, 0xAB10,
+    0xA05F, 0xAAEA,
+    0xA080, 0xAAC5,
+    0xA0A1, 0xAA9F,
+    0xA0C3, 0xAA7A,
+    0xA0E5, 0xAA54,
+    0xA106, 0xAA2F,
+    0xA128, 0xAA0A,
+    0xA14A, 0xA9E5,
+    0xA16C, 0xA9BF,
+    0xA18E, 0xA99A,
+    0xA1AF, 0xA975,
+    0xA1D2, 0xA950,
+    0xA1F4, 0xA92B,
+    0xA216, 0xA906,
+    0xA238, 0xA8E2,
+    0xA25A, 0xA8BD,
+    0xA27C, 0xA898,
+    0xA29F, 0xA873,
+    0xA2C1, 0xA84F,
+    0xA2E4, 0xA82A,
+    0xA306, 0xA806,
+    0xA329, 0xA7E1,
+    0xA34B, 0xA7BD,
+    0xA36E, 0xA798,
+    0xA391, 0xA774,
+    0xA3B4, 0xA750,
+    0xA3D6, 0xA72B,
+    0xA3F9, 0xA707,
+    0xA41C, 0xA6E3,
+    0xA43F, 0xA6BF,
+    0xA462, 0xA69B,
+    0xA486, 0xA677,
+    0xA4A9, 0xA653,
+    0xA4CC, 0xA62F,
+    0xA4EF, 0xA60C,
+    0xA513, 0xA5E8,
+    0xA536, 0xA5C4,
+    0xA55A, 0xA5A1,
+    0xA57D, 0xA57D,
+    0xA5A1, 0xA55A,
+    0xA5C4, 0xA536,
+    0xA5E8, 0xA513,
+    0xA60C, 0xA4EF,
+    0xA62F, 0xA4CC,
+    0xA653, 0xA4A9,
+    0xA677, 0xA486,
+    0xA69B, 0xA462,
+    0xA6BF, 0xA43F,
+    0xA6E3, 0xA41C,
+    0xA707, 0xA3F9,
+    0xA72B, 0xA3D6,
+    0xA750, 0xA3B4,
+    0xA774, 0xA391,
+    0xA798, 0xA36E,
+    0xA7BD, 0xA34B,
+    0xA7E1, 0xA329,
+    0xA806, 0xA306,
+    0xA82A, 0xA2E4,
+    0xA84F, 0xA2C1,
+    0xA873, 0xA29F,
+    0xA898, 0xA27C,
+    0xA8BD, 0xA25A,
+    0xA8E2, 0xA238,
+    0xA906, 0xA216,
+    0xA92B, 0xA1F4,
+    0xA950, 0xA1D2,
+    0xA975, 0xA1AF,
+    0xA99A, 0xA18E,
+    0xA9BF, 0xA16C,
+    0xA9E5, 0xA14A,
+    0xAA0A, 0xA128,
+    0xAA2F, 0xA106,
+    0xAA54, 0xA0E5,
+    0xAA7A, 0xA0C3,
+    0xAA9F, 0xA0A1,
+    0xAAC5, 0xA080,
+    0xAAEA, 0xA05F,
+    0xAB10, 0xA03D,
+    0xAB35, 0xA01C,
+    0xAB5B, 0x9FFB,
+    0xAB81, 0x9FD9,
+    0xABA7, 0x9FB8,
+    0xABCC, 0x9F97,
+    0xABF2, 0x9F76,
+    0xAC18, 0x9F55,
+    0xAC3E, 0x9F34,
+    0xAC64, 0x9F13,
+    0xAC8A, 0x9EF2,
+    0xACB1, 0x9ED2,
+    0xACD7, 0x9EB1,
+    0xACFD, 0x9E90,
+    0xAD23, 0x9E70,
+    0xAD4A, 0x9E4F,
+    0xAD70, 0x9E2F,
+    0xAD96, 0x9E0E,
+    0xADBD, 0x9DEE,
+    0xADE3, 0x9DCE,
+    0xAE0A, 0x9DAE,
+    0xAE31, 0x9D8E,
+    0xAE57, 0x9D6D,
+    0xAE7E, 0x9D4D,
+    0xAEA5, 0x9D2D,
+    0xAECC, 0x9D0D,
+    0xAEF3, 0x9CEE,
+    0xAF1A, 0x9CCE,
+    0xAF40, 0x9CAE,
+    0xAF68, 0x9C8E,
+    0xAF8F, 0x9C6F,
+    0xAFB6, 0x9C4F,
+    0xAFDD, 0x9C30,
+    0xB004, 0x9C10,
+    0xB02B, 0x9BF1,
+    0xB053, 0x9BD2,
+    0xB07A, 0x9BB2,
+    0xB0A1, 0x9B93,
+    0xB0C9, 0x9B74,
+    0xB0F0, 0x9B55,
+    0xB118, 0x9B36,
+    0xB140, 0x9B17,
+    0xB167, 0x9AF8,
+    0xB18F, 0x9AD9,
+    0xB1B7, 0x9ABA,
+    0xB1DE, 0x9A9C,
+    0xB206, 0x9A7D,
+    0xB22E, 0x9A5F,
+    0xB256, 0x9A40,
+    0xB27E, 0x9A22,
+    0xB2A6, 0x9A03,
+    0xB2CE, 0x99E5,
+    0xB2F6, 0x99C6,
+    0xB31E, 0x99A8,
+    0xB347, 0x998A,
+    0xB36F, 0x996C,
+    0xB397, 0x994E,
+    0xB3C0, 0x9930,
+    0xB3E8, 0x9912,
+    0xB410, 0x98F4,
+    0xB439, 0x98D6,
+    0xB461, 0x98B9,
+    0xB48A, 0x989B,
+    0xB4B3, 0x987D,
+    0xB4DB, 0x9860,
+    0xB504, 0x9842,
+    0xB52D, 0x9825,
+    0xB556, 0x9808,
+    0xB57E, 0x97EA,
+    0xB5A7, 0x97CD,
+    0xB5D0, 0x97B0,
+    0xB5F9, 0x9793,
+    0xB622, 0x9776,
+    0xB64B, 0x9759,
+    0xB675, 0x973C,
+    0xB69E, 0x971F,
+    0xB6C7, 0x9702,
+    0xB6F0, 0x96E6,
+    0xB719, 0x96C9,
+    0xB743, 0x96AC,
+    0xB76C, 0x9690,
+    0xB796, 0x9673,
+    0xB7BF, 0x9657,
+    0xB7E9, 0x963B,
+    0xB812, 0x961E,
+    0xB83C, 0x9602,
+    0xB865, 0x95E6,
+    0xB88F, 0x95CA,
+    0xB8B9, 0x95AE,
+    0xB8E3, 0x9592,
+    0xB90C, 0x9576,
+    0xB936, 0x955A,
+    0xB960, 0x953E,
+    0xB98A, 0x9523,
+    0xB9B4, 0x9507,
+    0xB9DE, 0x94EC,
+    0xBA08, 0x94D0,
+    0xBA32, 0x94B5,
+    0xBA5C, 0x9499,
+    0xBA87, 0x947E,
+    0xBAB1, 0x9463,
+    0xBADB, 0x9447,
+    0xBB05, 0x942C,
+    0xBB30, 0x9411,
+    0xBB5A, 0x93F6,
+    0xBB85, 0x93DB,
+    0xBBAF, 0x93C0,
+    0xBBDA, 0x93A6,
+    0xBC04, 0x938B,
+    0xBC2F, 0x9370,
+    0xBC5A, 0x9356,
+    0xBC84, 0x933B,
+    0xBCAF, 0x9321,
+    0xBCDA, 0x9306,
+    0xBD05, 0x92EC,
+    0xBD2F, 0x92D2,
+    0xBD5A, 0x92B7,
+    0xBD85, 0x929D,
+    0xBDB0, 0x9283,
+    0xBDDB, 0x9269,
+    0xBE06, 0x924F,
+    0xBE31, 0x9235,
+    0xBE5D, 0x921C,
+    0xBE88, 0x9202,
+    0xBEB3, 0x91E8,
+    0xBEDE, 0x91CF,
+    0xBF09, 0x91B5,
+    0xBF35, 0x919C,
+    0xBF60, 0x9182,
+    0xBF8C, 0x9169,
+    0xBFB7, 0x9150,
+    0xBFE2, 0x9136,
+    0xC00E, 0x911D,
+    0xC03A, 0x9104,
+    0xC065, 0x90EB,
+    0xC091, 0x90D2,
+    0xC0BC, 0x90B9,
+    0xC0E8, 0x90A0,
+    0xC114, 0x9088,
+    0xC140, 0x906F,
+    0xC16C, 0x9056,
+    0xC197, 0x903E,
+    0xC1C3, 0x9025,
+    0xC1EF, 0x900D,
+    0xC21B, 0x8FF5,
+    0xC247, 0x8FDC,
+    0xC273, 0x8FC4,
+    0xC29F, 0x8FAC,
+    0xC2CC, 0x8F94,
+    0xC2F8, 0x8F7C,
+    0xC324, 0x8F64,
+    0xC350, 0x8F4C,
+    0xC37C, 0x8F34,
+    0xC3A9, 0x8F1D,
+    0xC3D5, 0x8F05,
+    0xC402, 0x8EED,
+    0xC42E, 0x8ED6,
+    0xC45A, 0x8EBE,
+    0xC487, 0x8EA7,
+    0xC4B3, 0x8E90,
+    0xC4E0, 0x8E79,
+    0xC50D, 0x8E61,
+    0xC539, 0x8E4A,
+    0xC566, 0x8E33,
+    0xC593, 0x8E1C,
+    0xC5BF, 0x8E05,
+    0xC5EC, 0x8DEE,
+    0xC619, 0x8DD8,
+    0xC646, 0x8DC1,
+    0xC673, 0x8DAA,
+    0xC6A0, 0x8D94,
+    0xC6CD, 0x8D7D,
+    0xC6F9, 0x8D67,
+    0xC727, 0x8D50,
+    0xC754, 0x8D3A,
+    0xC781, 0x8D24,
+    0xC7AE, 0x8D0E,
+    0xC7DB, 0x8CF8,
+    0xC808, 0x8CE2,
+    0xC835, 0x8CCC,
+    0xC863, 0x8CB6,
+    0xC890, 0x8CA0,
+    0xC8BD, 0x8C8A,
+    0xC8EB, 0x8C75,
+    0xC918, 0x8C5F,
+    0xC945, 0x8C4A,
+    0xC973, 0x8C34,
+    0xC9A0, 0x8C1F,
+    0xC9CE, 0x8C09,
+    0xC9FB, 0x8BF4,
+    0xCA29, 0x8BDF,
+    0xCA57, 0x8BCA,
+    0xCA84, 0x8BB5,
+    0xCAB2, 0x8BA0,
+    0xCAE0, 0x8B8B,
+    0xCB0D, 0x8B76,
+    0xCB3B, 0x8B61,
+    0xCB69, 0x8B4D,
+    0xCB97, 0x8B38,
+    0xCBC5, 0x8B24,
+    0xCBF3, 0x8B0F,
+    0xCC21, 0x8AFB,
+    0xCC4F, 0x8AE6,
+    0xCC7D, 0x8AD2,
+    0xCCAB, 0x8ABE,
+    0xCCD9, 0x8AAA,
+    0xCD07, 0x8A96,
+    0xCD35, 0x8A82,
+    0xCD63, 0x8A6E,
+    0xCD91, 0x8A5A,
+    0xCDBF, 0x8A46,
+    0xCDEE, 0x8A33,
+    0xCE1C, 0x8A1F,
+    0xCE4A, 0x8A0B,
+    0xCE79, 0x89F8,
+    0xCEA7, 0x89E4,
+    0xCED5, 0x89D1,
+    0xCF04, 0x89BE,
+    0xCF32, 0x89AB,
+    0xCF61, 0x8997,
+    0xCF8F, 0x8984,
+    0xCFBE, 0x8971,
+    0xCFEC, 0x895F,
+    0xD01B, 0x894C,
+    0xD04A, 0x8939,
+    0xD078, 0x8926,
+    0xD0A7, 0x8914,
+    0xD0D6, 0x8901,
+    0xD104, 0x88EF,
+    0xD133, 0x88DC,
+    0xD162, 0x88CA,
+    0xD191, 0x88B8,
+    0xD1C0, 0x88A5,
+    0xD1EE, 0x8893,
+    0xD21D, 0x8881,
+    0xD24C, 0x886F,
+    0xD27B, 0x885D,
+    0xD2AA, 0x884B,
+    0xD2D9, 0x883A,
+    0xD308, 0x8828,
+    0xD337, 0x8816,
+    0xD367, 0x8805,
+    0xD396, 0x87F3,
+    0xD3C5, 0x87E2,
+    0xD3F4, 0x87D1,
+    0xD423, 0x87BF,
+    0xD452, 0x87AE,
+    0xD482, 0x879D,
+    0xD4B1, 0x878C,
+    0xD4E0, 0x877B,
+    0xD510, 0x876A,
+    0xD53F, 0x8759,
+    0xD56E, 0x8749,
+    0xD59E, 0x8738,
+    0xD5CD, 0x8727,
+    0xD5FD, 0x8717,
+    0xD62C, 0x8706,
+    0xD65C, 0x86F6,
+    0xD68B, 0x86E6,
+    0xD6BB, 0x86D5,
+    0xD6EA, 0x86C5,
+    0xD71A, 0x86B5,
+    0xD74A, 0x86A5,
+    0xD779, 0x8695,
+    0xD7A9, 0x8685,
+    0xD7D9, 0x8675,
+    0xD809, 0x8666,
+    0xD838, 0x8656,
+    0xD868, 0x8646,
+    0xD898, 0x8637,
+    0xD8C8, 0x8627,
+    0xD8F8, 0x8618,
+    0xD927, 0x8609,
+    0xD957, 0x85FA,
+    0xD987, 0x85EA,
+    0xD9B7, 0x85DB,
+    0xD9E7, 0x85CC,
+    0xDA17, 0x85BD,
+    0xDA47, 0x85AF,
+    0xDA77, 0x85A0,
+    0xDAA7, 0x8591,
+    0xDAD7, 0x8582,
+    0xDB08, 0x8574,
+    0xDB38, 0x8565,
+    0xDB68, 0x8557,
+    0xDB98, 0x8549,
+    0xDBC8, 0x853A,
+    0xDBF8, 0x852C,
+    0xDC29, 0x851E,
+    0xDC59, 0x8510,
+    0xDC89, 0x8502,
+    0xDCBA, 0x84F4,
+    0xDCEA, 0x84E6,
+    0xDD1A, 0x84D9,
+    0xDD4B, 0x84CB,
+    0xDD7B, 0x84BD,
+    0xDDAB, 0x84B0,
+    0xDDDC, 0x84A2,
+    0xDE0C, 0x8495,
+    0xDE3D, 0x8488,
+    0xDE6D, 0x847B,
+    0xDE9E, 0x846D,
+    0xDECE, 0x8460,
+    0xDEFF, 0x8453,
+    0xDF2F, 0x8446,
+    0xDF60, 0x843A,
+    0xDF91, 0x842D,
+    0xDFC1, 0x8420,
+    0xDFF2, 0x8414,
+    0xE023, 0x8407,
+    0xE053, 0x83FA,
+    0xE084, 0x83EE,
+    0xE0B5, 0x83E2,
+    0xE0E6, 0x83D6,
+    0xE116, 0x83C9,
+    0xE147, 0x83BD,
+    0xE178, 0x83B1,
+    0xE1A9, 0x83A5,
+    0xE1DA, 0x8399,
+    0xE20A, 0x838E,
+    0xE23B, 0x8382,
+    0xE26C, 0x8376,
+    0xE29D, 0x836B,
+    0xE2CE, 0x835F,
+    0xE2FF, 0x8354,
+    0xE330, 0x8348,
+    0xE361, 0x833D,
+    0xE392, 0x8332,
+    0xE3C3, 0x8327,
+    0xE3F4, 0x831C,
+    0xE425, 0x8311,
+    0xE456, 0x8306,
+    0xE487, 0x82FB,
+    0xE4B8, 0x82F0,
+    0xE4E9, 0x82E6,
+    0xE51B, 0x82DB,
+    0xE54C, 0x82D0,
+    0xE57D, 0x82C6,
+    0xE5AE, 0x82BC,
+    0xE5DF, 0x82B1,
+    0xE610, 0x82A7,
+    0xE642, 0x829D,
+    0xE673, 0x8293,
+    0xE6A4, 0x8289,
+    0xE6D5, 0x827F,
+    0xE707, 0x8275,
+    0xE738, 0x826B,
+    0xE769, 0x8262,
+    0xE79B, 0x8258,
+    0xE7CC, 0x824F,
+    0xE7FD, 0x8245,
+    0xE82F, 0x823C,
+    0xE860, 0x8232,
+    0xE892, 0x8229,
+    0xE8C3, 0x8220,
+    0xE8F5, 0x8217,
+    0xE926, 0x820E,
+    0xE957, 0x8205,
+    0xE989, 0x81FC,
+    0xE9BA, 0x81F3,
+    0xE9EC, 0x81EB,
+    0xEA1D, 0x81E2,
+    0xEA4F, 0x81D9,
+    0xEA80, 0x81D1,
+    0xEAB2, 0x81C8,
+    0xEAE4, 0x81C0,
+    0xEB15, 0x81B8,
+    0xEB47, 0x81B0,
+    0xEB78, 0x81A8,
+    0xEBAA, 0x81A0,
+    0xEBDC, 0x8198,
+    0xEC0D, 0x8190,
+    0xEC3F, 0x8188,
+    0xEC71, 0x8180,
+    0xECA2, 0x8179,
+    0xECD4, 0x8171,
+    0xED06, 0x816A,
+    0xED37, 0x8162,
+    0xED69, 0x815B,
+    0xED9B, 0x8154,
+    0xEDCD, 0x814C,
+    0xEDFE, 0x8145,
+    0xEE30, 0x813E,
+    0xEE62, 0x8137,
+    0xEE94, 0x8130,
+    0xEEC6, 0x812A,
+    0xEEF7, 0x8123,
+    0xEF29, 0x811C,
+    0xEF5B, 0x8116,
+    0xEF8D, 0x810F,
+    0xEFBF, 0x8109,
+    0xEFF1, 0x8102,
+    0xF022, 0x80FC,
+    0xF054, 0x80F6,
+    0xF086, 0x80F0,
+    0xF0B8, 0x80EA,
+    0xF0EA, 0x80E4,
+    0xF11C, 0x80DE,
+    0xF14E, 0x80D8,
+    0xF180, 0x80D2,
+    0xF1B2, 0x80CD,
+    0xF1E4, 0x80C7,
+    0xF216, 0x80C2,
+    0xF248, 0x80BC,
+    0xF27A, 0x80B7,
+    0xF2AC, 0x80B2,
+    0xF2DE, 0x80AC,
+    0xF310, 0x80A7,
+    0xF342, 0x80A2,
+    0xF374, 0x809D,
+    0xF3A6, 0x8098,
+    0xF3D8, 0x8094,
+    0xF40A, 0x808F,
+    0xF43C, 0x808A,
+    0xF46E, 0x8086,
+    0xF4A0, 0x8081,
+    0xF4D2, 0x807D,
+    0xF504, 0x8078,
+    0xF536, 0x8074,
+    0xF568, 0x8070,
+    0xF59A, 0x806C,
+    0xF5CC, 0x8068,
+    0xF5FF, 0x8064,
+    0xF631, 0x8060,
+    0xF663, 0x805C,
+    0xF695, 0x8058,
+    0xF6C7, 0x8055,
+    0xF6F9, 0x8051,
+    0xF72B, 0x804E,
+    0xF75D, 0x804A,
+    0xF790, 0x8047,
+    0xF7C2, 0x8043,
+    0xF7F4, 0x8040,
+    0xF826, 0x803D,
+    0xF858, 0x803A,
+    0xF88A, 0x8037,
+    0xF8BD, 0x8034,
+    0xF8EF, 0x8031,
+    0xF921, 0x802F,
+    0xF953, 0x802C,
+    0xF985, 0x8029,
+    0xF9B8, 0x8027,
+    0xF9EA, 0x8025,
+    0xFA1C, 0x8022,
+    0xFA4E, 0x8020,
+    0xFA80, 0x801E,
+    0xFAB3, 0x801C,
+    0xFAE5, 0x801A,
+    0xFB17, 0x8018,
+    0xFB49, 0x8016,
+    0xFB7C, 0x8014,
+    0xFBAE, 0x8012,
+    0xFBE0, 0x8011,
+    0xFC12, 0x800F,
+    0xFC45, 0x800D,
+    0xFC77, 0x800C,
+    0xFCA9, 0x800B,
+    0xFCDB, 0x8009,
+    0xFD0E, 0x8008,
+    0xFD40, 0x8007,
+    0xFD72, 0x8006,
+    0xFDA4, 0x8005,
+    0xFDD7, 0x8004,
+    0xFE09, 0x8003,
+    0xFE3B, 0x8003,
+    0xFE6D, 0x8002,
+    0xFEA0, 0x8001,
+    0xFED2, 0x8001,
+    0xFF04, 0x8000,
+    0xFF36, 0x8000,
+    0xFF69, 0x8000,
+    0xFF9B, 0x8000,
+    0xFFCD, 0x8000
+};
+
+
+/**    
+* @} end of CFFT_CIFFT group    
+*/
+
+/*    
+* @brief  Q15 table for reciprocal    
+*/
+const q15_t ALIGN4 armRecipTableQ15[64] = {
+ 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
+ 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
+ 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
+ 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
+ 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
+ 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
+ 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
+ 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
+ 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
+ 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
+ 0x41CC, 0x4146, 0x40C2, 0x4040
+};
+
+/*    
+* @brief  Q31 table for reciprocal    
+*/
+const q31_t armRecipTableQ31[64] = {
+  0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
+  0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
+  0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
+  0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
+  0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
+  0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
+  0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
+  0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
+  0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
+  0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
+  0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
+};
+
+const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH] = 
+{
+   //8x2, size 20
+   8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112
+};
+
+const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH] = 
+{
+   //8x4, size 48
+   8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208,
+   80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208,
+   152,224, 176,208, 184,232, 216,240, 200,224, 232,240
+};
+
+const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH] = 
+{   
+   //radix 8, size 56
+   8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, 
+   96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, 
+   184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, 
+   368,424, 376,488, 440,496
+};
+
+const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = 
+{
+   //8x2, size 208
+   8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, 
+   80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, 
+   144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, 
+   208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, 
+   280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, 
+   360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, 
+   424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, 
+   488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, 
+   568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, 
+   632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, 
+   720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, 
+   792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, 
+   904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008
+};
+
+const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = 
+{
+   //8x4, size 440
+   8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, 
+   80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, 
+   144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, 
+   200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, 
+   256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, 
+   320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, 
+   384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, 
+   448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, 
+   520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, 
+   568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, 
+   624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, 
+   680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, 
+   736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, 
+   792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, 
+   848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, 
+   904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, 
+   960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, 
+   1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, 
+   1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, 
+   1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, 
+   1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, 
+   1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, 
+   1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, 
+   1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, 
+   1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, 
+   1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, 
+   1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, 
+   1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, 
+   1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, 
+   1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, 
+   1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, 
+   1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032,
+   1960,1968, 2008,2032, 1992,2016, 2024,2032
+};
+
+const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = 
+{
+   //radix 8, size 448
+   8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, 
+   80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, 
+   152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, 
+   216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, 
+   280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, 
+   344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, 
+   408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, 
+   472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, 
+   544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, 
+   616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, 
+   688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, 
+   760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, 
+   848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, 
+   920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, 
+   992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, 
+   1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, 
+   1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, 
+   1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, 
+   1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, 
+   1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, 
+   1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, 
+   1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, 
+   1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, 
+   1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, 
+   1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, 
+   1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, 
+   2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, 
+   2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, 
+   2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, 
+   2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, 
+   2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, 
+   2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, 
+   2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, 
+   3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, 
+   3448,3952, 3512,4016, 3576,4080
+};
+
+const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] = 
+{
+   //8x2, size 1800
+   8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, 
+   72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, 
+   136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, 
+   192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, 
+   248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, 
+   304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, 
+   360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, 
+   416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, 
+   472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, 
+   528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, 
+   584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, 
+   640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, 
+   696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, 
+   752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, 
+   808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, 
+   864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, 
+   920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, 
+   976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, 
+   1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, 
+   1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, 
+   1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, 
+   1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, 
+   1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, 
+   1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, 
+   1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, 
+   1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, 
+   1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, 
+   1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, 
+   1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, 
+   1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, 
+   1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, 
+   1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, 
+   1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, 
+   1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, 
+   1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, 
+   1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, 
+   1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, 
+   1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, 
+   1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, 
+   2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, 
+   2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, 
+   2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, 
+   2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, 
+   2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, 
+   2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, 
+   2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, 
+   2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, 
+   2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, 
+   2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, 
+   2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, 
+   2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, 
+   2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, 
+   2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, 
+   2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, 
+   2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, 
+   2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, 
+   2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, 
+   2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, 
+   3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, 
+   3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, 
+   3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, 
+   3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, 
+   3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, 
+   3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, 
+   3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, 
+   3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, 
+   3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, 
+   3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, 
+   3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, 
+   3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, 
+   3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, 
+   3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, 
+   3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, 
+   3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, 
+   3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, 
+   3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, 
+   3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, 
+   3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, 
+   4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, 
+   4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, 
+   4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, 
+   4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, 
+   4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, 
+   4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, 
+   4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, 
+   4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, 
+   4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, 
+   4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, 
+   4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, 
+   4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, 
+   4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, 
+   4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, 
+   4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, 
+   4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, 
+   4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, 
+   4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, 
+   4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, 
+   4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, 
+   5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, 
+   5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, 
+   5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, 
+   5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, 
+   5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, 
+   5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, 
+   5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, 
+   5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, 
+   5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, 
+   5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, 
+   5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, 
+   5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, 
+   5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, 
+   5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, 
+   5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, 
+   5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, 
+   5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, 
+   5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, 
+   5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, 
+   5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, 
+   6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, 
+   6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, 
+   6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, 
+   6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, 
+   6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, 
+   6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, 
+   6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, 
+   6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, 
+   6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, 
+   6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, 
+   6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, 
+   6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, 
+   6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, 
+   6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, 
+   6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, 
+   7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, 
+   7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, 
+   7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, 
+   7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, 
+   7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, 
+   7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, 
+   7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, 
+   7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, 
+   7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, 
+   7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, 
+   7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, 
+   7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, 
+   8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, 
+   8112,8136, 8120,8168, 8136,8160, 8152,8176
+};
+
+const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] = 
+{
+   //8x2, size 3808
+   8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, 
+   72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, 
+   128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, 
+   184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, 
+   240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, 
+   296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, 
+   352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, 
+   408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, 
+   464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, 
+   520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, 
+   576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, 
+   632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, 
+   688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, 
+   744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, 
+   800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, 
+   856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, 
+   912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, 
+   968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, 
+   1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, 
+   1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, 
+   1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, 
+   1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, 
+   1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, 
+   1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, 
+   1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, 
+   1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, 
+   1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, 
+   1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, 
+   1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, 
+   1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, 
+   1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, 
+   1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, 
+   1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, 
+   1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, 
+   1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, 
+   1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, 
+   1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, 
+   1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, 
+   2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, 
+   2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, 
+   2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, 
+   2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, 
+   2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, 
+   2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, 
+   2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, 
+   2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, 
+   2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, 
+   2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, 
+   2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, 
+   2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, 
+   2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, 
+   2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, 
+   2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, 
+   2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, 
+   2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, 
+   2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, 
+   2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, 
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+   12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, 
+   12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, 
+   12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, 
+   12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, 
+   12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, 
+   13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, 
+   13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, 
+   13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, 
+   13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, 
+   13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, 
+   13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, 
+   13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, 
+   13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, 
+   13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, 
+   13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, 
+   13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, 
+   13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, 
+   13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, 
+   13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, 
+   13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, 
+   13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, 
+   13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, 
+   13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, 
+   13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, 
+   14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, 
+   14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, 
+   14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, 
+   14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, 
+   14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, 
+   14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, 
+   14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, 
+   14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, 
+   14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, 
+   14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, 
+   14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, 
+   14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928,
+   14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, 
+   14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, 
+   14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, 
+   14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, 
+   14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, 
+   14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, 
+   14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, 
+   14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, 
+   14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, 
+   14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, 
+   15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, 
+   15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, 
+   15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, 
+   15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, 
+   15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, 
+   15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, 
+   15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, 
+   15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, 
+   15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, 
+   15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, 
+   15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, 
+   15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, 
+   15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, 
+   15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, 
+   15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, 
+   15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, 
+   15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, 
+   16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, 
+   16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, 
+   16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, 
+   16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, 
+   16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
+   16328,16352, 16360,16368
+};
+
+const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] = 
+{
+   //radix 8, size 4032
+   8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, 
+   72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, 
+   128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, 
+   184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, 
+   240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, 
+   296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, 
+   352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, 
+   408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, 
+   464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, 
+   528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, 
+   592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, 
+   648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, 
+   704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, 
+   760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, 
+   816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, 
+   872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, 
+   928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, 
+   984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, 
+   1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, 
+   1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, 
+   1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, 
+   1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, 
+   1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, 
+   1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, 
+   1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, 
+   1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, 
+   1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, 
+   1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, 
+   1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, 
+   1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, 
+   1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, 
+   1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, 
+   1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, 
+   1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, 
+   1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, 
+   1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, 
+   1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, 
+   2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, 
+   2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, 
+   2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, 
+   2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, 
+   2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, 
+   2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, 
+   2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, 
+   2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, 
+   2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, 
+   2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, 
+   2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, 
+   2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, 
+   2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, 
+   2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, 
+   2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, 
+   2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, 
+   2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, 
+   2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, 
+   2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, 
+   3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, 
+   3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, 
+   3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, 
+   3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, 
+   3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, 
+   3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, 
+   3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, 
+   3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, 
+   3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, 
+   3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, 
+   3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, 
+   3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, 
+   3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, 
+   3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, 
+   3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, 
+   3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, 
+   3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, 
+   3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, 
+   3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, 
+   4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, 
+   4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, 
+   4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, 
+   4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, 
+   4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, 
+   4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152, 
+   4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728, 
+   4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144, 
+   4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560, 
+   4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976, 
+   4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456, 
+   4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968, 
+   4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384, 
+   4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800, 
+   4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216, 
+   4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792, 
+   4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208, 
+   4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624, 
+   5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040, 
+   5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520, 
+   5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032, 
+   5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544, 
+   5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960, 
+   5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376, 
+   5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792, 
+   5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368, 
+   5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784, 
+   5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200, 
+   5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680, 
+   5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192, 
+   5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704, 
+   5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216, 
+   5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632, 
+   5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048, 
+   5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464, 
+   6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880, 
+   6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456, 
+   6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936, 
+   6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448, 
+   6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960, 
+   6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472, 
+   6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984, 
+   6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400, 
+   6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816, 
+   6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232, 
+   6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712, 
+   6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224, 
+   6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736, 
+   6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248, 
+   6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760, 
+   6952,22856, 6960,26952, 6968,31048, 6992,11080, 7000,15176, 7008,19272, 
+   7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688, 
+   7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104, 
+   7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584, 
+   7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096, 
+   7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608, 
+   7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120, 
+   7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632, 
+   7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144, 
+   7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656, 
+   7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072, 
+   7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648, 
+   7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128, 
+   7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640, 
+   7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152, 
+   7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664, 
+   7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176, 
+   8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688, 
+   8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200, 
+   8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712, 
+   8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720, 
+   8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232, 
+   8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744, 
+   8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256, 
+   8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768, 
+   8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280, 
+   8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792, 
+   8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368, 
+   8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976, 
+   8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488, 
+   8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000, 
+   8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512, 
+   9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024, 
+   9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536, 
+   9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048, 
+   9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624, 
+   9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232, 
+   9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840, 
+   9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352, 
+   9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864, 
+   9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376, 
+   9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888, 
+   9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400, 
+   9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008, 
+   9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616, 
+   9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224, 
+   9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736, 
+   10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152, 
+   10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568, 
+   10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984, 
+   10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464, 
+   10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944, 
+   10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456, 
+   10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968, 
+   10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480, 
+   10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992, 
+   10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408, 
+   10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824, 
+   10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240, 
+   10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720, 
+   10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232, 
+   10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744, 
+   10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256, 
+   10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768, 
+   11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280, 
+   11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696, 
+   11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112, 
+   11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592, 
+   11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072, 
+   11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584, 
+   11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096, 
+   11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608, 
+   11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120, 
+   11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632, 
+   11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144, 
+   11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560, 
+   11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040, 
+   11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552, 
+   11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064, 
+   11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576, 
+   12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088, 
+   12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600, 
+   12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112, 
+   12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624, 
+   12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696, 
+   12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208, 
+   12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720, 
+   12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232, 
+   12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744, 
+   12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256, 
+   12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768, 
+   12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280, 
+   12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984, 
+   12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496, 
+   12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008, 
+   13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520, 
+   13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032, 
+   13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544, 
+   13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056, 
+   13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632, 
+   13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240, 
+   13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848, 
+   13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360, 
+   13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872, 
+   13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384, 
+   13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896, 
+   13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408, 
+   13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112, 
+   13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720, 
+   14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328, 
+   14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840, 
+   14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352, 
+   14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864, 
+   14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376, 
+   14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952, 
+   14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688, 
+   14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296, 
+   14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904, 
+   14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416, 
+   14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928, 
+   14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440, 
+   14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016, 
+   14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752, 
+   15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360, 
+   15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968, 
+   15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576, 
+   15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088, 
+   15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600, 
+   15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304, 
+   15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912, 
+   15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520, 
+   15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128, 
+   15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864, 
+   15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376, 
+   15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952, 
+   15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560, 
+   15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168, 
+   16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904, 
+   16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512, 
+   16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120, 
+   16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728, 
+   16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024, 
+   16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632, 
+   16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240, 
+   16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976, 
+   16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584, 
+   16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192, 
+   16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088, 
+   17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696, 
+   17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304, 
+   17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040, 
+   17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648, 
+   17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256, 
+   17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152, 
+   17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856, 
+   17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592, 
+   17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200, 
+   17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808, 
+   17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416, 
+   17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312, 
+   18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240, 
+   18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848, 
+   18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456, 
+   18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192, 
+   18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864, 
+   18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, 
+   18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, 
+   18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, 
+   18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, 
+   18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, 
+   18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, 
+   19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, 
+   19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, 
+   19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, 
+   19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, 
+   19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, 
+   19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, 
+   19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, 
+   19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, 
+   19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, 
+   19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, 
+   20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, 
+   20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, 
+   20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, 
+   20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, 
+   20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, 
+   20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, 
+   20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, 
+   20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, 
+   20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, 
+   21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, 
+   21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, 
+   21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, 
+   21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, 
+   21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, 
+   21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, 
+   21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, 
+   21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, 
+   22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, 
+   22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, 
+   22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, 
+   22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, 
+   22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, 
+   22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, 
+   22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, 
+   22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, 
+   23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, 
+   23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, 
+   23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, 
+   23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, 
+   23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, 
+   23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, 
+   23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, 
+   24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, 
+   24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, 
+   24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, 
+   24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, 
+   24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, 
+   24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, 
+   25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, 
+   25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, 
+   25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, 
+   25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, 
+   25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, 
+   26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, 
+   26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, 
+   26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, 
+   26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, 
+   26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, 
+   27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, 
+   27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, 
+   27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, 
+   27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, 
+   28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, 
+   28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, 
+   28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, 
+   29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, 
+   29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, 
+   30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, 
+   31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, 
+   32248,32696
+};
+
+
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] = 
+{
+   //radix 4, size 12
+   8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] = 
+{
+   //4x2, size 24
+   8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+   88,208, 104,176, 120,240, 152,200, 184,232
+};
+
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] = 
+{   
+   //radix 4, size 56
+   8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+   112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+   232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] = 
+{
+   //4x2, size 112
+   8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+   104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+   208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+   328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+   472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+   664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] = 
+{
+   //radix 4, size 240
+   8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+   88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+   168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+   248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+   344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+   432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+   536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+   632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+   752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+   880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+   1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+   1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+   1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+   1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] = 
+{
+   //4x2, size 480
+   8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+   88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+   168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+   240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+   328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+   408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+   488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+   584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+   664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+   752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+   848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+   944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+   1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+   1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+   1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+   1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+   1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+   1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+   1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+   1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+   1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+   1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+   2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+   2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+   2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+   2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+   2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+   3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+   3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = 
+{
+    //radix 4, size 992
+    8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, 
+    80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, 
+    144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, 
+    208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, 
+    280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, 
+    344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, 
+    416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, 
+    480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, 
+    552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, 
+    624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, 
+    696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, 
+    760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, 
+    840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, 
+    912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, 
+    984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, 
+    1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, 
+    1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, 
+    1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, 
+    1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, 
+    1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, 
+    1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, 
+    1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, 
+    1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, 
+    1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, 
+    1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, 
+    1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, 
+    1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, 
+    1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, 
+    1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, 
+    2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, 
+    2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, 
+    2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, 
+    2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, 
+    2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, 
+    2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, 
+    2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, 
+    2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, 
+    2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, 
+    2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, 
+    2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, 
+    2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, 
+    3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, 
+    3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, 
+    3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, 
+    3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, 
+    3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, 
+    3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, 
+    3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, 
+    3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, 
+    3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, 
+    3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, 
+    4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, 
+    4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, 
+    4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, 
+    4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, 
+    4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, 
+    4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, 
+    4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, 
+    4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, 
+    5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, 
+    5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, 
+    5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, 
+    5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, 
+    5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, 
+    6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, 
+    6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, 
+    6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, 
+    6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, 
+    7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 
+};
+
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = 
+{
+    //4x2, size 1984
+    8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, 
+    72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, 
+    136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, 
+    192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, 
+    248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, 
+    312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, 
+    368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, 
+    424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, 
+    480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, 
+    544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, 
+    600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, 
+    664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, 
+    720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, 
+    784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, 
+    840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, 
+    904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, 
+    960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, 
+    1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, 
+    1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, 
+    1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, 
+    1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, 
+    1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, 
+    1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, 
+    1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, 
+    1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, 
+    1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, 
+    1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, 
+    1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, 
+    1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, 
+    1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, 
+    1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, 
+    1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, 
+    1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, 
+    2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, 
+    2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, 
+    2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, 
+    2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, 
+    2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, 
+    2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, 
+    2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, 
+    2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, 
+    2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, 
+    2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, 
+    2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, 
+    2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, 
+    2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, 
+    2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, 
+    2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, 
+    3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, 
+    3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, 
+    3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, 
+    3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, 
+    3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, 
+    3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, 
+    3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, 
+    3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, 
+    3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, 
+    3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, 
+    3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, 
+    3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, 
+    3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, 
+    3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, 
+    4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, 
+    4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, 
+    4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, 
+    4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, 
+    4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, 
+    4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, 
+    4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, 
+    4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, 
+    4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, 
+    4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, 
+    4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, 
+    4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, 
+    4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, 
+    5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, 
+    5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, 
+    5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, 
+    5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, 
+    5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, 
+    5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, 
+    5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, 
+    5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, 
+    5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, 
+    5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, 
+    5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, 
+    5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, 
+    6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, 
+    6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, 
+    6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, 
+    6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, 
+    6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, 
+    6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, 
+    6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, 
+    6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, 
+    6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, 
+    6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, 
+    6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, 
+    7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, 
+    7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, 
+    7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, 
+    7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, 
+    7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, 
+    7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, 
+    7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, 
+    7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, 
+    7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, 
+    7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, 
+    7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, 
+    8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, 
+    8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, 
+    8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, 
+    8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, 
+    8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, 
+    8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, 
+    8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, 
+    8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, 
+    8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, 
+    8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, 
+    9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, 
+    9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, 
+    9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, 
+    9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, 
+    9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, 
+    9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, 
+    9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, 
+    9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, 
+    10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, 
+    10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, 
+    10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, 
+    10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, 
+    10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, 
+    10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, 
+    10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, 
+    10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, 
+    11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, 
+    11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, 
+    11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, 
+    11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, 
+    11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, 
+    11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, 
+    12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, 
+    12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, 
+    12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, 
+    12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, 
+    13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, 
+    13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, 
+    13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, 
+    14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, 
+    14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, 
+    14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 
+};
+
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = 
+{
+    //radix 4, size 4032
+    8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, 
+    72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, 
+    128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, 
+    184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, 
+    240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, 
+    296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, 
+    352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, 
+    408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, 
+    464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, 
+    528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, 
+    584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, 
+    640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, 
+    696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, 
+    752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, 
+    816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, 
+    872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, 
+    928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, 
+    984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, 
+    1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, 
+    1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, 
+    1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, 
+    1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, 
+    1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, 
+    1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, 
+    1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, 
+    1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, 
+    1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, 
+    1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, 
+    1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, 
+    1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, 
+    1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, 
+    1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, 
+    1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, 
+    1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, 
+    1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, 
+    1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, 
+    1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, 
+    2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, 
+    2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, 
+    2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, 
+    2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, 
+    2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, 
+    2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, 
+    2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, 
+    2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, 
+    2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, 
+    2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, 
+    2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, 
+    2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, 
+    2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, 
+    2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, 
+    2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, 
+    2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, 
+    2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, 
+    2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, 
+    2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, 
+    3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, 
+    3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, 
+    3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, 
+    3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, 
+    3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, 
+    3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, 
+    3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, 
+    3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, 
+    3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, 
+    3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, 
+    3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, 
+    3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, 
+    3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, 
+    3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, 
+    3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, 
+    3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, 
+    3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, 
+    3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, 
+    4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, 
+    4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, 
+    4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, 
+    4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, 
+    4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, 
+    4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, 
+    4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, 
+    4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, 
+    4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, 
+    4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000, 
+    4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288, 
+    4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960, 
+    4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624, 
+    4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792, 
+    4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456, 
+    4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376, 
+    4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424, 
+    4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016, 
+    5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256, 
+    5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544, 
+    5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832, 
+    5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496, 
+    5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472, 
+    5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712, 
+    5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152, 
+    5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816, 
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+    22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, 
+    22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, 
+    22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, 
+    22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, 
+    23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, 
+    23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, 
+    23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, 
+    23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, 
+    23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, 
+    23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, 
+    24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, 
+    24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, 
+    24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, 
+    24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, 
+    24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, 
+    25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, 
+    25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, 
+    25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, 
+    25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, 
+    26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, 
+    26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, 
+    26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, 
+    26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, 
+    27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, 
+    27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, 
+    27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, 
+    28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, 
+    28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, 
+    28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, 
+    29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, 
+    29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, 
+    30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, 
+    31480,32120, 31736,32632, 32248,32504 
+};
+
+/**    
+* \par    
+* Example code for Floating-point RFFT Twiddle factors Generation:    
+* \par    
+* <pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre>    
+* \par    
+* Real and Imag values are in interleaved fashion    
+*/
+const float32_t twiddleCoef_rfft_32[32] = {
+0.0f			,	1.0f			,
+0.195090322f	,	0.98078528f 	,
+0.382683432f	,	0.923879533f	,
+0.555570233f	,	0.831469612f	,
+0.707106781f	,	0.707106781f	,
+0.831469612f	,	0.555570233f	,
+0.923879533f	,	0.382683432f    ,	
+0.98078528f		,	0.195090322f	,
+1.0f			,	0.0f			,
+0.98078528f		,	-0.195090322f	,
+0.923879533f	,	-0.382683432f	,
+0.831469612f	,	-0.555570233f	,
+0.707106781f	,	-0.707106781f	,
+0.555570233f	,	-0.831469612f	,
+0.382683432f	,	-0.923879533f	,
+0.195090322f	,	-0.98078528f	
+};
+
+const float32_t twiddleCoef_rfft_64[64] = {
+0.0f,	1.0f,
+0.098017140329561f,	0.995184726672197f,
+0.195090322016128f,	0.98078528040323f,
+0.290284677254462f,	0.956940335732209f,
+0.38268343236509f,	0.923879532511287f,
+0.471396736825998f,	0.881921264348355f,
+0.555570233019602f,	0.831469612302545f,
+0.634393284163645f,	0.773010453362737f,
+0.707106781186547f,	0.707106781186548f,
+0.773010453362737f,	0.634393284163645f,
+0.831469612302545f,	0.555570233019602f,
+0.881921264348355f,	0.471396736825998f,
+0.923879532511287f,	0.38268343236509f,
+0.956940335732209f,	0.290284677254462f,
+0.98078528040323f,	0.195090322016128f,
+0.995184726672197f,	0.098017140329561f,
+1.0f,	0.0f,
+0.995184726672197f,	-0.098017140329561f,
+0.98078528040323f,	-0.195090322016128f,
+0.956940335732209f,	-0.290284677254462f,
+0.923879532511287f,	-0.38268343236509f,
+0.881921264348355f,	-0.471396736825998f,
+0.831469612302545f,	-0.555570233019602f,
+0.773010453362737f,	-0.634393284163645f,
+0.707106781186548f,	-0.707106781186547f,
+0.634393284163645f,	-0.773010453362737f,
+0.555570233019602f,	-0.831469612302545f,
+0.471396736825998f,	-0.881921264348355f,
+0.38268343236509f,	-0.923879532511287f,
+0.290284677254462f,	-0.956940335732209f,
+0.195090322016129f,	-0.98078528040323f,
+0.098017140329561f,	-0.995184726672197f
+};
+
+const float32_t twiddleCoef_rfft_128[128] = {
+    0.000000000f,  1.000000000f,
+    0.049067674f,  0.998795456f,
+    0.098017140f,  0.995184727f,
+    0.146730474f,  0.989176510f,
+    0.195090322f,  0.980785280f,
+    0.242980180f,  0.970031253f,
+    0.290284677f,  0.956940336f,
+    0.336889853f,  0.941544065f,
+    0.382683432f,  0.923879533f,
+    0.427555093f,  0.903989293f,
+    0.471396737f,  0.881921264f,
+    0.514102744f,  0.857728610f,
+    0.555570233f,  0.831469612f,
+    0.595699304f,  0.803207531f,
+    0.634393284f,  0.773010453f,
+    0.671558955f,  0.740951125f,
+    0.707106781f,  0.707106781f,
+    0.740951125f,  0.671558955f,
+    0.773010453f,  0.634393284f,
+    0.803207531f,  0.595699304f,
+    0.831469612f,  0.555570233f,
+    0.857728610f,  0.514102744f,
+    0.881921264f,  0.471396737f,
+    0.903989293f,  0.427555093f,
+    0.923879533f,  0.382683432f,
+    0.941544065f,  0.336889853f,
+    0.956940336f,  0.290284677f,
+    0.970031253f,  0.242980180f,
+    0.980785280f,  0.195090322f,
+    0.989176510f,  0.146730474f,
+    0.995184727f,  0.098017140f,
+    0.998795456f,  0.049067674f,
+    1.000000000f,  0.000000000f,
+    0.998795456f, -0.049067674f,
+    0.995184727f, -0.098017140f,
+    0.989176510f, -0.146730474f,
+    0.980785280f, -0.195090322f,
+    0.970031253f, -0.242980180f,
+    0.956940336f, -0.290284677f,
+    0.941544065f, -0.336889853f,
+    0.923879533f, -0.382683432f,
+    0.903989293f, -0.427555093f,
+    0.881921264f, -0.471396737f,
+    0.857728610f, -0.514102744f,
+    0.831469612f, -0.555570233f,
+    0.803207531f, -0.595699304f,
+    0.773010453f, -0.634393284f,
+    0.740951125f, -0.671558955f,
+    0.707106781f, -0.707106781f,
+    0.671558955f, -0.740951125f,
+    0.634393284f, -0.773010453f,
+    0.595699304f, -0.803207531f,
+    0.555570233f, -0.831469612f,
+    0.514102744f, -0.857728610f,
+    0.471396737f, -0.881921264f,
+    0.427555093f, -0.903989293f,
+    0.382683432f, -0.923879533f,
+    0.336889853f, -0.941544065f,
+    0.290284677f, -0.956940336f,
+    0.242980180f, -0.970031253f,
+    0.195090322f, -0.980785280f,
+    0.146730474f, -0.989176510f,
+    0.098017140f, -0.995184727f,
+    0.049067674f, -0.998795456f
+};
+
+const float32_t twiddleCoef_rfft_256[256] = {
+    0.000000000f,  1.000000000f,
+    0.024541229f,  0.999698819f,
+    0.049067674f,  0.998795456f,
+    0.073564564f,  0.997290457f,
+    0.098017140f,  0.995184727f,
+    0.122410675f,  0.992479535f,
+    0.146730474f,  0.989176510f,
+    0.170961889f,  0.985277642f,
+    0.195090322f,  0.980785280f,
+    0.219101240f,  0.975702130f,
+    0.242980180f,  0.970031253f,
+    0.266712757f,  0.963776066f,
+    0.290284677f,  0.956940336f,
+    0.313681740f,  0.949528181f,
+    0.336889853f,  0.941544065f,
+    0.359895037f,  0.932992799f,
+    0.382683432f,  0.923879533f,
+    0.405241314f,  0.914209756f,
+    0.427555093f,  0.903989293f,
+    0.449611330f,  0.893224301f,
+    0.471396737f,  0.881921264f,
+    0.492898192f,  0.870086991f,
+    0.514102744f,  0.857728610f,
+    0.534997620f,  0.844853565f,
+    0.555570233f,  0.831469612f,
+    0.575808191f,  0.817584813f,
+    0.595699304f,  0.803207531f,
+    0.615231591f,  0.788346428f,
+    0.634393284f,  0.773010453f,
+    0.653172843f,  0.757208847f,
+    0.671558955f,  0.740951125f,
+    0.689540545f,  0.724247083f,
+    0.707106781f,  0.707106781f,
+    0.724247083f,  0.689540545f,
+    0.740951125f,  0.671558955f,
+    0.757208847f,  0.653172843f,
+    0.773010453f,  0.634393284f,
+    0.788346428f,  0.615231591f,
+    0.803207531f,  0.595699304f,
+    0.817584813f,  0.575808191f,
+    0.831469612f,  0.555570233f,
+    0.844853565f,  0.534997620f,
+    0.857728610f,  0.514102744f,
+    0.870086991f,  0.492898192f,
+    0.881921264f,  0.471396737f,
+    0.893224301f,  0.449611330f,
+    0.903989293f,  0.427555093f,
+    0.914209756f,  0.405241314f,
+    0.923879533f,  0.382683432f,
+    0.932992799f,  0.359895037f,
+    0.941544065f,  0.336889853f,
+    0.949528181f,  0.313681740f,
+    0.956940336f,  0.290284677f,
+    0.963776066f,  0.266712757f,
+    0.970031253f,  0.242980180f,
+    0.975702130f,  0.219101240f,
+    0.980785280f,  0.195090322f,
+    0.985277642f,  0.170961889f,
+    0.989176510f,  0.146730474f,
+    0.992479535f,  0.122410675f,
+    0.995184727f,  0.098017140f,
+    0.997290457f,  0.073564564f,
+    0.998795456f,  0.049067674f,
+    0.999698819f,  0.024541229f,
+    1.000000000f,  0.000000000f,
+    0.999698819f, -0.024541229f,
+    0.998795456f, -0.049067674f,
+    0.997290457f, -0.073564564f,
+    0.995184727f, -0.098017140f,
+    0.992479535f, -0.122410675f,
+    0.989176510f, -0.146730474f,
+    0.985277642f, -0.170961889f,
+    0.980785280f, -0.195090322f,
+    0.975702130f, -0.219101240f,
+    0.970031253f, -0.242980180f,
+    0.963776066f, -0.266712757f,
+    0.956940336f, -0.290284677f,
+    0.949528181f, -0.313681740f,
+    0.941544065f, -0.336889853f,
+    0.932992799f, -0.359895037f,
+    0.923879533f, -0.382683432f,
+    0.914209756f, -0.405241314f,
+    0.903989293f, -0.427555093f,
+    0.893224301f, -0.449611330f,
+    0.881921264f, -0.471396737f,
+    0.870086991f, -0.492898192f,
+    0.857728610f, -0.514102744f,
+    0.844853565f, -0.534997620f,
+    0.831469612f, -0.555570233f,
+    0.817584813f, -0.575808191f,
+    0.803207531f, -0.595699304f,
+    0.788346428f, -0.615231591f,
+    0.773010453f, -0.634393284f,
+    0.757208847f, -0.653172843f,
+    0.740951125f, -0.671558955f,
+    0.724247083f, -0.689540545f,
+    0.707106781f, -0.707106781f,
+    0.689540545f, -0.724247083f,
+    0.671558955f, -0.740951125f,
+    0.653172843f, -0.757208847f,
+    0.634393284f, -0.773010453f,
+    0.615231591f, -0.788346428f,
+    0.595699304f, -0.803207531f,
+    0.575808191f, -0.817584813f,
+    0.555570233f, -0.831469612f,
+    0.534997620f, -0.844853565f,
+    0.514102744f, -0.857728610f,
+    0.492898192f, -0.870086991f,
+    0.471396737f, -0.881921264f,
+    0.449611330f, -0.893224301f,
+    0.427555093f, -0.903989293f,
+    0.405241314f, -0.914209756f,
+    0.382683432f, -0.923879533f,
+    0.359895037f, -0.932992799f,
+    0.336889853f, -0.941544065f,
+    0.313681740f, -0.949528181f,
+    0.290284677f, -0.956940336f,
+    0.266712757f, -0.963776066f,
+    0.242980180f, -0.970031253f,
+    0.219101240f, -0.975702130f,
+    0.195090322f, -0.980785280f,
+    0.170961889f, -0.985277642f,
+    0.146730474f, -0.989176510f,
+    0.122410675f, -0.992479535f,
+    0.098017140f, -0.995184727f,
+    0.073564564f, -0.997290457f,
+    0.049067674f, -0.998795456f,
+    0.024541229f, -0.999698819f
+};
+
+const float32_t twiddleCoef_rfft_512[512] = {
+    0.000000000f,  1.000000000f,
+    0.012271538f,  0.999924702f,
+    0.024541229f,  0.999698819f,
+    0.036807223f,  0.999322385f,
+    0.049067674f,  0.998795456f,
+    0.061320736f,  0.998118113f,
+    0.073564564f,  0.997290457f,
+    0.085797312f,  0.996312612f,
+    0.098017140f,  0.995184727f,
+    0.110222207f,  0.993906970f,
+    0.122410675f,  0.992479535f,
+    0.134580709f,  0.990902635f,
+    0.146730474f,  0.989176510f,
+    0.158858143f,  0.987301418f,
+    0.170961889f,  0.985277642f,
+    0.183039888f,  0.983105487f,
+    0.195090322f,  0.980785280f,
+    0.207111376f,  0.978317371f,
+    0.219101240f,  0.975702130f,
+    0.231058108f,  0.972939952f,
+    0.242980180f,  0.970031253f,
+    0.254865660f,  0.966976471f,
+    0.266712757f,  0.963776066f,
+    0.278519689f,  0.960430519f,
+    0.290284677f,  0.956940336f,
+    0.302005949f,  0.953306040f,
+    0.313681740f,  0.949528181f,
+    0.325310292f,  0.945607325f,
+    0.336889853f,  0.941544065f,
+    0.348418680f,  0.937339012f,
+    0.359895037f,  0.932992799f,
+    0.371317194f,  0.928506080f,
+    0.382683432f,  0.923879533f,
+    0.393992040f,  0.919113852f,
+    0.405241314f,  0.914209756f,
+    0.416429560f,  0.909167983f,
+    0.427555093f,  0.903989293f,
+    0.438616239f,  0.898674466f,
+    0.449611330f,  0.893224301f,
+    0.460538711f,  0.887639620f,
+    0.471396737f,  0.881921264f,
+    0.482183772f,  0.876070094f,
+    0.492898192f,  0.870086991f,
+    0.503538384f,  0.863972856f,
+    0.514102744f,  0.857728610f,
+    0.524589683f,  0.851355193f,
+    0.534997620f,  0.844853565f,
+    0.545324988f,  0.838224706f,
+    0.555570233f,  0.831469612f,
+    0.565731811f,  0.824589303f,
+    0.575808191f,  0.817584813f,
+    0.585797857f,  0.810457198f,
+    0.595699304f,  0.803207531f,
+    0.605511041f,  0.795836905f,
+    0.615231591f,  0.788346428f,
+    0.624859488f,  0.780737229f,
+    0.634393284f,  0.773010453f,
+    0.643831543f,  0.765167266f,
+    0.653172843f,  0.757208847f,
+    0.662415778f,  0.749136395f,
+    0.671558955f,  0.740951125f,
+    0.680600998f,  0.732654272f,
+    0.689540545f,  0.724247083f,
+    0.698376249f,  0.715730825f,
+    0.707106781f,  0.707106781f,
+    0.715730825f,  0.698376249f,
+    0.724247083f,  0.689540545f,
+    0.732654272f,  0.680600998f,
+    0.740951125f,  0.671558955f,
+    0.749136395f,  0.662415778f,
+    0.757208847f,  0.653172843f,
+    0.765167266f,  0.643831543f,
+    0.773010453f,  0.634393284f,
+    0.780737229f,  0.624859488f,
+    0.788346428f,  0.615231591f,
+    0.795836905f,  0.605511041f,
+    0.803207531f,  0.595699304f,
+    0.810457198f,  0.585797857f,
+    0.817584813f,  0.575808191f,
+    0.824589303f,  0.565731811f,
+    0.831469612f,  0.555570233f,
+    0.838224706f,  0.545324988f,
+    0.844853565f,  0.534997620f,
+    0.851355193f,  0.524589683f,
+    0.857728610f,  0.514102744f,
+    0.863972856f,  0.503538384f,
+    0.870086991f,  0.492898192f,
+    0.876070094f,  0.482183772f,
+    0.881921264f,  0.471396737f,
+    0.887639620f,  0.460538711f,
+    0.893224301f,  0.449611330f,
+    0.898674466f,  0.438616239f,
+    0.903989293f,  0.427555093f,
+    0.909167983f,  0.416429560f,
+    0.914209756f,  0.405241314f,
+    0.919113852f,  0.393992040f,
+    0.923879533f,  0.382683432f,
+    0.928506080f,  0.371317194f,
+    0.932992799f,  0.359895037f,
+    0.937339012f,  0.348418680f,
+    0.941544065f,  0.336889853f,
+    0.945607325f,  0.325310292f,
+    0.949528181f,  0.313681740f,
+    0.953306040f,  0.302005949f,
+    0.956940336f,  0.290284677f,
+    0.960430519f,  0.278519689f,
+    0.963776066f,  0.266712757f,
+    0.966976471f,  0.254865660f,
+    0.970031253f,  0.242980180f,
+    0.972939952f,  0.231058108f,
+    0.975702130f,  0.219101240f,
+    0.978317371f,  0.207111376f,
+    0.980785280f,  0.195090322f,
+    0.983105487f,  0.183039888f,
+    0.985277642f,  0.170961889f,
+    0.987301418f,  0.158858143f,
+    0.989176510f,  0.146730474f,
+    0.990902635f,  0.134580709f,
+    0.992479535f,  0.122410675f,
+    0.993906970f,  0.110222207f,
+    0.995184727f,  0.098017140f,
+    0.996312612f,  0.085797312f,
+    0.997290457f,  0.073564564f,
+    0.998118113f,  0.061320736f,
+    0.998795456f,  0.049067674f,
+    0.999322385f,  0.036807223f,
+    0.999698819f,  0.024541229f,
+    0.999924702f,  0.012271538f,
+    1.000000000f,  0.000000000f,
+    0.999924702f, -0.012271538f,
+    0.999698819f, -0.024541229f,
+    0.999322385f, -0.036807223f,
+    0.998795456f, -0.049067674f,
+    0.998118113f, -0.061320736f,
+    0.997290457f, -0.073564564f,
+    0.996312612f, -0.085797312f,
+    0.995184727f, -0.098017140f,
+    0.993906970f, -0.110222207f,
+    0.992479535f, -0.122410675f,
+    0.990902635f, -0.134580709f,
+    0.989176510f, -0.146730474f,
+    0.987301418f, -0.158858143f,
+    0.985277642f, -0.170961889f,
+    0.983105487f, -0.183039888f,
+    0.980785280f, -0.195090322f,
+    0.978317371f, -0.207111376f,
+    0.975702130f, -0.219101240f,
+    0.972939952f, -0.231058108f,
+    0.970031253f, -0.242980180f,
+    0.966976471f, -0.254865660f,
+    0.963776066f, -0.266712757f,
+    0.960430519f, -0.278519689f,
+    0.956940336f, -0.290284677f,
+    0.953306040f, -0.302005949f,
+    0.949528181f, -0.313681740f,
+    0.945607325f, -0.325310292f,
+    0.941544065f, -0.336889853f,
+    0.937339012f, -0.348418680f,
+    0.932992799f, -0.359895037f,
+    0.928506080f, -0.371317194f,
+    0.923879533f, -0.382683432f,
+    0.919113852f, -0.393992040f,
+    0.914209756f, -0.405241314f,
+    0.909167983f, -0.416429560f,
+    0.903989293f, -0.427555093f,
+    0.898674466f, -0.438616239f,
+    0.893224301f, -0.449611330f,
+    0.887639620f, -0.460538711f,
+    0.881921264f, -0.471396737f,
+    0.876070094f, -0.482183772f,
+    0.870086991f, -0.492898192f,
+    0.863972856f, -0.503538384f,
+    0.857728610f, -0.514102744f,
+    0.851355193f, -0.524589683f,
+    0.844853565f, -0.534997620f,
+    0.838224706f, -0.545324988f,
+    0.831469612f, -0.555570233f,
+    0.824589303f, -0.565731811f,
+    0.817584813f, -0.575808191f,
+    0.810457198f, -0.585797857f,
+    0.803207531f, -0.595699304f,
+    0.795836905f, -0.605511041f,
+    0.788346428f, -0.615231591f,
+    0.780737229f, -0.624859488f,
+    0.773010453f, -0.634393284f,
+    0.765167266f, -0.643831543f,
+    0.757208847f, -0.653172843f,
+    0.749136395f, -0.662415778f,
+    0.740951125f, -0.671558955f,
+    0.732654272f, -0.680600998f,
+    0.724247083f, -0.689540545f,
+    0.715730825f, -0.698376249f,
+    0.707106781f, -0.707106781f,
+    0.698376249f, -0.715730825f,
+    0.689540545f, -0.724247083f,
+    0.680600998f, -0.732654272f,
+    0.671558955f, -0.740951125f,
+    0.662415778f, -0.749136395f,
+    0.653172843f, -0.757208847f,
+    0.643831543f, -0.765167266f,
+    0.634393284f, -0.773010453f,
+    0.624859488f, -0.780737229f,
+    0.615231591f, -0.788346428f,
+    0.605511041f, -0.795836905f,
+    0.595699304f, -0.803207531f,
+    0.585797857f, -0.810457198f,
+    0.575808191f, -0.817584813f,
+    0.565731811f, -0.824589303f,
+    0.555570233f, -0.831469612f,
+    0.545324988f, -0.838224706f,
+    0.534997620f, -0.844853565f,
+    0.524589683f, -0.851355193f,
+    0.514102744f, -0.857728610f,
+    0.503538384f, -0.863972856f,
+    0.492898192f, -0.870086991f,
+    0.482183772f, -0.876070094f,
+    0.471396737f, -0.881921264f,
+    0.460538711f, -0.887639620f,
+    0.449611330f, -0.893224301f,
+    0.438616239f, -0.898674466f,
+    0.427555093f, -0.903989293f,
+    0.416429560f, -0.909167983f,
+    0.405241314f, -0.914209756f,
+    0.393992040f, -0.919113852f,
+    0.382683432f, -0.923879533f,
+    0.371317194f, -0.928506080f,
+    0.359895037f, -0.932992799f,
+    0.348418680f, -0.937339012f,
+    0.336889853f, -0.941544065f,
+    0.325310292f, -0.945607325f,
+    0.313681740f, -0.949528181f,
+    0.302005949f, -0.953306040f,
+    0.290284677f, -0.956940336f,
+    0.278519689f, -0.960430519f,
+    0.266712757f, -0.963776066f,
+    0.254865660f, -0.966976471f,
+    0.242980180f, -0.970031253f,
+    0.231058108f, -0.972939952f,
+    0.219101240f, -0.975702130f,
+    0.207111376f, -0.978317371f,
+    0.195090322f, -0.980785280f,
+    0.183039888f, -0.983105487f,
+    0.170961889f, -0.985277642f,
+    0.158858143f, -0.987301418f,
+    0.146730474f, -0.989176510f,
+    0.134580709f, -0.990902635f,
+    0.122410675f, -0.992479535f,
+    0.110222207f, -0.993906970f,
+    0.098017140f, -0.995184727f,
+    0.085797312f, -0.996312612f,
+    0.073564564f, -0.997290457f,
+    0.061320736f, -0.998118113f,
+    0.049067674f, -0.998795456f,
+    0.036807223f, -0.999322385f,
+    0.024541229f, -0.999698819f,
+    0.012271538f, -0.999924702f
+};
+
+const float32_t twiddleCoef_rfft_1024[1024] = {
+    0.000000000f,  1.000000000f,
+    0.006135885f,  0.999981175f,
+    0.012271538f,  0.999924702f,
+    0.018406730f,  0.999830582f,
+    0.024541229f,  0.999698819f,
+    0.030674803f,  0.999529418f,
+    0.036807223f,  0.999322385f,
+    0.042938257f,  0.999077728f,
+    0.049067674f,  0.998795456f,
+    0.055195244f,  0.998475581f,
+    0.061320736f,  0.998118113f,
+    0.067443920f,  0.997723067f,
+    0.073564564f,  0.997290457f,
+    0.079682438f,  0.996820299f,
+    0.085797312f,  0.996312612f,
+    0.091908956f,  0.995767414f,
+    0.098017140f,  0.995184727f,
+    0.104121634f,  0.994564571f,
+    0.110222207f,  0.993906970f,
+    0.116318631f,  0.993211949f,
+    0.122410675f,  0.992479535f,
+    0.128498111f,  0.991709754f,
+    0.134580709f,  0.990902635f,
+    0.140658239f,  0.990058210f,
+    0.146730474f,  0.989176510f,
+    0.152797185f,  0.988257568f,
+    0.158858143f,  0.987301418f,
+    0.164913120f,  0.986308097f,
+    0.170961889f,  0.985277642f,
+    0.177004220f,  0.984210092f,
+    0.183039888f,  0.983105487f,
+    0.189068664f,  0.981963869f,
+    0.195090322f,  0.980785280f,
+    0.201104635f,  0.979569766f,
+    0.207111376f,  0.978317371f,
+    0.213110320f,  0.977028143f,
+    0.219101240f,  0.975702130f,
+    0.225083911f,  0.974339383f,
+    0.231058108f,  0.972939952f,
+    0.237023606f,  0.971503891f,
+    0.242980180f,  0.970031253f,
+    0.248927606f,  0.968522094f,
+    0.254865660f,  0.966976471f,
+    0.260794118f,  0.965394442f,
+    0.266712757f,  0.963776066f,
+    0.272621355f,  0.962121404f,
+    0.278519689f,  0.960430519f,
+    0.284407537f,  0.958703475f,
+    0.290284677f,  0.956940336f,
+    0.296150888f,  0.955141168f,
+    0.302005949f,  0.953306040f,
+    0.307849640f,  0.951435021f,
+    0.313681740f,  0.949528181f,
+    0.319502031f,  0.947585591f,
+    0.325310292f,  0.945607325f,
+    0.331106306f,  0.943593458f,
+    0.336889853f,  0.941544065f,
+    0.342660717f,  0.939459224f,
+    0.348418680f,  0.937339012f,
+    0.354163525f,  0.935183510f,
+    0.359895037f,  0.932992799f,
+    0.365612998f,  0.930766961f,
+    0.371317194f,  0.928506080f,
+    0.377007410f,  0.926210242f,
+    0.382683432f,  0.923879533f,
+    0.388345047f,  0.921514039f,
+    0.393992040f,  0.919113852f,
+    0.399624200f,  0.916679060f,
+    0.405241314f,  0.914209756f,
+    0.410843171f,  0.911706032f,
+    0.416429560f,  0.909167983f,
+    0.422000271f,  0.906595705f,
+    0.427555093f,  0.903989293f,
+    0.433093819f,  0.901348847f,
+    0.438616239f,  0.898674466f,
+    0.444122145f,  0.895966250f,
+    0.449611330f,  0.893224301f,
+    0.455083587f,  0.890448723f,
+    0.460538711f,  0.887639620f,
+    0.465976496f,  0.884797098f,
+    0.471396737f,  0.881921264f,
+    0.476799230f,  0.879012226f,
+    0.482183772f,  0.876070094f,
+    0.487550160f,  0.873094978f,
+    0.492898192f,  0.870086991f,
+    0.498227667f,  0.867046246f,
+    0.503538384f,  0.863972856f,
+    0.508830143f,  0.860866939f,
+    0.514102744f,  0.857728610f,
+    0.519355990f,  0.854557988f,
+    0.524589683f,  0.851355193f,
+    0.529803625f,  0.848120345f,
+    0.534997620f,  0.844853565f,
+    0.540171473f,  0.841554977f,
+    0.545324988f,  0.838224706f,
+    0.550457973f,  0.834862875f,
+    0.555570233f,  0.831469612f,
+    0.560661576f,  0.828045045f,
+    0.565731811f,  0.824589303f,
+    0.570780746f,  0.821102515f,
+    0.575808191f,  0.817584813f,
+    0.580813958f,  0.814036330f,
+    0.585797857f,  0.810457198f,
+    0.590759702f,  0.806847554f,
+    0.595699304f,  0.803207531f,
+    0.600616479f,  0.799537269f,
+    0.605511041f,  0.795836905f,
+    0.610382806f,  0.792106577f,
+    0.615231591f,  0.788346428f,
+    0.620057212f,  0.784556597f,
+    0.624859488f,  0.780737229f,
+    0.629638239f,  0.776888466f,
+    0.634393284f,  0.773010453f,
+    0.639124445f,  0.769103338f,
+    0.643831543f,  0.765167266f,
+    0.648514401f,  0.761202385f,
+    0.653172843f,  0.757208847f,
+    0.657806693f,  0.753186799f,
+    0.662415778f,  0.749136395f,
+    0.666999922f,  0.745057785f,
+    0.671558955f,  0.740951125f,
+    0.676092704f,  0.736816569f,
+    0.680600998f,  0.732654272f,
+    0.685083668f,  0.728464390f,
+    0.689540545f,  0.724247083f,
+    0.693971461f,  0.720002508f,
+    0.698376249f,  0.715730825f,
+    0.702754744f,  0.711432196f,
+    0.707106781f,  0.707106781f,
+    0.711432196f,  0.702754744f,
+    0.715730825f,  0.698376249f,
+    0.720002508f,  0.693971461f,
+    0.724247083f,  0.689540545f,
+    0.728464390f,  0.685083668f,
+    0.732654272f,  0.680600998f,
+    0.736816569f,  0.676092704f,
+    0.740951125f,  0.671558955f,
+    0.745057785f,  0.666999922f,
+    0.749136395f,  0.662415778f,
+    0.753186799f,  0.657806693f,
+    0.757208847f,  0.653172843f,
+    0.761202385f,  0.648514401f,
+    0.765167266f,  0.643831543f,
+    0.769103338f,  0.639124445f,
+    0.773010453f,  0.634393284f,
+    0.776888466f,  0.629638239f,
+    0.780737229f,  0.624859488f,
+    0.784556597f,  0.620057212f,
+    0.788346428f,  0.615231591f,
+    0.792106577f,  0.610382806f,
+    0.795836905f,  0.605511041f,
+    0.799537269f,  0.600616479f,
+    0.803207531f,  0.595699304f,
+    0.806847554f,  0.590759702f,
+    0.810457198f,  0.585797857f,
+    0.814036330f,  0.580813958f,
+    0.817584813f,  0.575808191f,
+    0.821102515f,  0.570780746f,
+    0.824589303f,  0.565731811f,
+    0.828045045f,  0.560661576f,
+    0.831469612f,  0.555570233f,
+    0.834862875f,  0.550457973f,
+    0.838224706f,  0.545324988f,
+    0.841554977f,  0.540171473f,
+    0.844853565f,  0.534997620f,
+    0.848120345f,  0.529803625f,
+    0.851355193f,  0.524589683f,
+    0.854557988f,  0.519355990f,
+    0.857728610f,  0.514102744f,
+    0.860866939f,  0.508830143f,
+    0.863972856f,  0.503538384f,
+    0.867046246f,  0.498227667f,
+    0.870086991f,  0.492898192f,
+    0.873094978f,  0.487550160f,
+    0.876070094f,  0.482183772f,
+    0.879012226f,  0.476799230f,
+    0.881921264f,  0.471396737f,
+    0.884797098f,  0.465976496f,
+    0.887639620f,  0.460538711f,
+    0.890448723f,  0.455083587f,
+    0.893224301f,  0.449611330f,
+    0.895966250f,  0.444122145f,
+    0.898674466f,  0.438616239f,
+    0.901348847f,  0.433093819f,
+    0.903989293f,  0.427555093f,
+    0.906595705f,  0.422000271f,
+    0.909167983f,  0.416429560f,
+    0.911706032f,  0.410843171f,
+    0.914209756f,  0.405241314f,
+    0.916679060f,  0.399624200f,
+    0.919113852f,  0.393992040f,
+    0.921514039f,  0.388345047f,
+    0.923879533f,  0.382683432f,
+    0.926210242f,  0.377007410f,
+    0.928506080f,  0.371317194f,
+    0.930766961f,  0.365612998f,
+    0.932992799f,  0.359895037f,
+    0.935183510f,  0.354163525f,
+    0.937339012f,  0.348418680f,
+    0.939459224f,  0.342660717f,
+    0.941544065f,  0.336889853f,
+    0.943593458f,  0.331106306f,
+    0.945607325f,  0.325310292f,
+    0.947585591f,  0.319502031f,
+    0.949528181f,  0.313681740f,
+    0.951435021f,  0.307849640f,
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+    0.955141168f,  0.296150888f,
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+    0.284407537f, -0.958703475f,
+    0.278519689f, -0.960430519f,
+    0.272621355f, -0.962121404f,
+    0.266712757f, -0.963776066f,
+    0.260794118f, -0.965394442f,
+    0.254865660f, -0.966976471f,
+    0.248927606f, -0.968522094f,
+    0.242980180f, -0.970031253f,
+    0.237023606f, -0.971503891f,
+    0.231058108f, -0.972939952f,
+    0.225083911f, -0.974339383f,
+    0.219101240f, -0.975702130f,
+    0.213110320f, -0.977028143f,
+    0.207111376f, -0.978317371f,
+    0.201104635f, -0.979569766f,
+    0.195090322f, -0.980785280f,
+    0.189068664f, -0.981963869f,
+    0.183039888f, -0.983105487f,
+    0.177004220f, -0.984210092f,
+    0.170961889f, -0.985277642f,
+    0.164913120f, -0.986308097f,
+    0.158858143f, -0.987301418f,
+    0.152797185f, -0.988257568f,
+    0.146730474f, -0.989176510f,
+    0.140658239f, -0.990058210f,
+    0.134580709f, -0.990902635f,
+    0.128498111f, -0.991709754f,
+    0.122410675f, -0.992479535f,
+    0.116318631f, -0.993211949f,
+    0.110222207f, -0.993906970f,
+    0.104121634f, -0.994564571f,
+    0.098017140f, -0.995184727f,
+    0.091908956f, -0.995767414f,
+    0.085797312f, -0.996312612f,
+    0.079682438f, -0.996820299f,
+    0.073564564f, -0.997290457f,
+    0.067443920f, -0.997723067f,
+    0.061320736f, -0.998118113f,
+    0.055195244f, -0.998475581f,
+    0.049067674f, -0.998795456f,
+    0.042938257f, -0.999077728f,
+    0.036807223f, -0.999322385f,
+    0.030674803f, -0.999529418f,
+    0.024541229f, -0.999698819f,
+    0.018406730f, -0.999830582f,
+    0.012271538f, -0.999924702f,
+    0.006135885f, -0.999981175f
+};
+
+const float32_t twiddleCoef_rfft_2048[2048] = {
+    0.000000000f,  1.000000000f,
+    0.003067957f,  0.999995294f,
+    0.006135885f,  0.999981175f,
+    0.009203755f,  0.999957645f,
+    0.012271538f,  0.999924702f,
+    0.015339206f,  0.999882347f,
+    0.018406730f,  0.999830582f,
+    0.021474080f,  0.999769405f,
+    0.024541229f,  0.999698819f,
+    0.027608146f,  0.999618822f,
+    0.030674803f,  0.999529418f,
+    0.033741172f,  0.999430605f,
+    0.036807223f,  0.999322385f,
+    0.039872928f,  0.999204759f,
+    0.042938257f,  0.999077728f,
+    0.046003182f,  0.998941293f,
+    0.049067674f,  0.998795456f,
+    0.052131705f,  0.998640218f,
+    0.055195244f,  0.998475581f,
+    0.058258265f,  0.998301545f,
+    0.061320736f,  0.998118113f,
+    0.064382631f,  0.997925286f,
+    0.067443920f,  0.997723067f,
+    0.070504573f,  0.997511456f,
+    0.073564564f,  0.997290457f,
+    0.076623861f,  0.997060070f,
+    0.079682438f,  0.996820299f,
+    0.082740265f,  0.996571146f,
+    0.085797312f,  0.996312612f,
+    0.088853553f,  0.996044701f,
+    0.091908956f,  0.995767414f,
+    0.094963495f,  0.995480755f,
+    0.098017140f,  0.995184727f,
+    0.101069863f,  0.994879331f,
+    0.104121634f,  0.994564571f,
+    0.107172425f,  0.994240449f,
+    0.110222207f,  0.993906970f,
+    0.113270952f,  0.993564136f,
+    0.116318631f,  0.993211949f,
+    0.119365215f,  0.992850414f,
+    0.122410675f,  0.992479535f,
+    0.125454983f,  0.992099313f,
+    0.128498111f,  0.991709754f,
+    0.131540029f,  0.991310860f,
+    0.134580709f,  0.990902635f,
+    0.137620122f,  0.990485084f,
+    0.140658239f,  0.990058210f,
+    0.143695033f,  0.989622017f,
+    0.146730474f,  0.989176510f,
+    0.149764535f,  0.988721692f,
+    0.152797185f,  0.988257568f,
+    0.155828398f,  0.987784142f,
+    0.158858143f,  0.987301418f,
+    0.161886394f,  0.986809402f,
+    0.164913120f,  0.986308097f,
+    0.167938295f,  0.985797509f,
+    0.170961889f,  0.985277642f,
+    0.173983873f,  0.984748502f,
+    0.177004220f,  0.984210092f,
+    0.180022901f,  0.983662419f,
+    0.183039888f,  0.983105487f,
+    0.186055152f,  0.982539302f,
+    0.189068664f,  0.981963869f,
+    0.192080397f,  0.981379193f,
+    0.195090322f,  0.980785280f,
+    0.198098411f,  0.980182136f,
+    0.201104635f,  0.979569766f,
+    0.204108966f,  0.978948175f,
+    0.207111376f,  0.978317371f,
+    0.210111837f,  0.977677358f,
+    0.213110320f,  0.977028143f,
+    0.216106797f,  0.976369731f,
+    0.219101240f,  0.975702130f,
+    0.222093621f,  0.975025345f,
+    0.225083911f,  0.974339383f,
+    0.228072083f,  0.973644250f,
+    0.231058108f,  0.972939952f,
+    0.234041959f,  0.972226497f,
+    0.237023606f,  0.971503891f,
+    0.240003022f,  0.970772141f,
+    0.242980180f,  0.970031253f,
+    0.245955050f,  0.969281235f,
+    0.248927606f,  0.968522094f,
+    0.251897818f,  0.967753837f,
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+    0.435857080f, -0.900015892f,
+    0.433093819f, -0.901348847f,
+    0.430326481f, -0.902673318f,
+    0.427555093f, -0.903989293f,
+    0.424779681f, -0.905296759f,
+    0.422000271f, -0.906595705f,
+    0.419216888f, -0.907886116f,
+    0.416429560f, -0.909167983f,
+    0.413638312f, -0.910441292f,
+    0.410843171f, -0.911706032f,
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+    0.405241314f, -0.914209756f,
+    0.402434651f, -0.915448716f,
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+    0.207111376f, -0.978317371f,
+    0.204108966f, -0.978948175f,
+    0.201104635f, -0.979569766f,
+    0.198098411f, -0.980182136f,
+    0.195090322f, -0.980785280f,
+    0.192080397f, -0.981379193f,
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+    0.152797185f, -0.988257568f,
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+    0.146730474f, -0.989176510f,
+    0.143695033f, -0.989622017f,
+    0.140658239f, -0.990058210f,
+    0.137620122f, -0.990485084f,
+    0.134580709f, -0.990902635f,
+    0.131540029f, -0.991310860f,
+    0.128498111f, -0.991709754f,
+    0.125454983f, -0.992099313f,
+    0.122410675f, -0.992479535f,
+    0.119365215f, -0.992850414f,
+    0.116318631f, -0.993211949f,
+    0.113270952f, -0.993564136f,
+    0.110222207f, -0.993906970f,
+    0.107172425f, -0.994240449f,
+    0.104121634f, -0.994564571f,
+    0.101069863f, -0.994879331f,
+    0.098017140f, -0.995184727f,
+    0.094963495f, -0.995480755f,
+    0.091908956f, -0.995767414f,
+    0.088853553f, -0.996044701f,
+    0.085797312f, -0.996312612f,
+    0.082740265f, -0.996571146f,
+    0.079682438f, -0.996820299f,
+    0.076623861f, -0.997060070f,
+    0.073564564f, -0.997290457f,
+    0.070504573f, -0.997511456f,
+    0.067443920f, -0.997723067f,
+    0.064382631f, -0.997925286f,
+    0.061320736f, -0.998118113f,
+    0.058258265f, -0.998301545f,
+    0.055195244f, -0.998475581f,
+    0.052131705f, -0.998640218f,
+    0.049067674f, -0.998795456f,
+    0.046003182f, -0.998941293f,
+    0.042938257f, -0.999077728f,
+    0.039872928f, -0.999204759f,
+    0.036807223f, -0.999322385f,
+    0.033741172f, -0.999430605f,
+    0.030674803f, -0.999529418f,
+    0.027608146f, -0.999618822f,
+    0.024541229f, -0.999698819f,
+    0.021474080f, -0.999769405f,
+    0.018406730f, -0.999830582f,
+    0.015339206f, -0.999882347f,
+    0.012271538f, -0.999924702f,
+    0.009203755f, -0.999957645f,
+    0.006135885f, -0.999981175f,
+    0.003067957f, -0.999995294f
+};
+
+const float32_t twiddleCoef_rfft_4096[4096] = {
+    0.000000000f,  1.000000000f,
+    0.001533980f,  0.999998823f,
+    0.003067957f,  0.999995294f,
+    0.004601926f,  0.999989411f,
+    0.006135885f,  0.999981175f,
+    0.007669829f,  0.999970586f,
+    0.009203755f,  0.999957645f,
+    0.010737659f,  0.999942350f,
+    0.012271538f,  0.999924702f,
+    0.013805389f,  0.999904701f,
+    0.015339206f,  0.999882347f,
+    0.016872988f,  0.999857641f,
+    0.018406730f,  0.999830582f,
+    0.019940429f,  0.999801170f,
+    0.021474080f,  0.999769405f,
+    0.023007681f,  0.999735288f,
+    0.024541229f,  0.999698819f,
+    0.026074718f,  0.999659997f,
+    0.027608146f,  0.999618822f,
+    0.029141509f,  0.999575296f,
+    0.030674803f,  0.999529418f,
+    0.032208025f,  0.999481187f,
+    0.033741172f,  0.999430605f,
+    0.035274239f,  0.999377670f,
+    0.036807223f,  0.999322385f,
+    0.038340120f,  0.999264747f,
+    0.039872928f,  0.999204759f,
+    0.041405641f,  0.999142419f,
+    0.042938257f,  0.999077728f,
+    0.044470772f,  0.999010686f,
+    0.046003182f,  0.998941293f,
+    0.047535484f,  0.998869550f,
+    0.049067674f,  0.998795456f,
+    0.050599749f,  0.998719012f,
+    0.052131705f,  0.998640218f,
+    0.053663538f,  0.998559074f,
+    0.055195244f,  0.998475581f,
+    0.056726821f,  0.998389737f,
+    0.058258265f,  0.998301545f,
+    0.059789571f,  0.998211003f,
+    0.061320736f,  0.998118113f,
+    0.062851758f,  0.998022874f,
+    0.064382631f,  0.997925286f,
+    0.065913353f,  0.997825350f,
+    0.067443920f,  0.997723067f,
+    0.068974328f,  0.997618435f,
+    0.070504573f,  0.997511456f,
+    0.072034653f,  0.997402130f,
+    0.073564564f,  0.997290457f,
+    0.075094301f,  0.997176437f,
+    0.076623861f,  0.997060070f,
+    0.078153242f,  0.996941358f,
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+    0.082740265f,  0.996571146f,
+    0.084268888f,  0.996443051f,
+    0.085797312f,  0.996312612f,
+    0.087325535f,  0.996179829f,
+    0.088853553f,  0.996044701f,
+    0.090381361f,  0.995907229f,
+    0.091908956f,  0.995767414f,
+    0.093436336f,  0.995625256f,
+    0.094963495f,  0.995480755f,
+    0.096490431f,  0.995333912f,
+    0.098017140f,  0.995184727f,
+    0.099543619f,  0.995033199f,
+    0.101069863f,  0.994879331f,
+    0.102595869f,  0.994723121f,
+    0.104121634f,  0.994564571f,
+    0.105647154f,  0.994403680f,
+    0.107172425f,  0.994240449f,
+    0.108697444f,  0.994074879f,
+    0.110222207f,  0.993906970f,
+    0.111746711f,  0.993736722f,
+    0.113270952f,  0.993564136f,
+    0.114794927f,  0.993389211f,
+    0.116318631f,  0.993211949f,
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+    0.119365215f,  0.992850414f,
+    0.120888087f,  0.992666142f,
+    0.122410675f,  0.992479535f,
+    0.123932975f,  0.992290591f,
+    0.125454983f,  0.992099313f,
+    0.126976696f,  0.991905700f,
+    0.128498111f,  0.991709754f,
+    0.130019223f,  0.991511473f,
+    0.131540029f,  0.991310860f,
+    0.133060525f,  0.991107914f,
+    0.134580709f,  0.990902635f,
+    0.136100575f,  0.990695025f,
+    0.137620122f,  0.990485084f,
+    0.139139344f,  0.990272812f,
+    0.140658239f,  0.990058210f,
+    0.142176804f,  0.989841278f,
+    0.143695033f,  0.989622017f,
+    0.145212925f,  0.989400428f,
+    0.146730474f,  0.989176510f,
+    0.148247679f,  0.988950265f,
+    0.149764535f,  0.988721692f,
+    0.151281038f,  0.988490793f,
+    0.152797185f,  0.988257568f,
+    0.154312973f,  0.988022017f,
+    0.155828398f,  0.987784142f,
+    0.157343456f,  0.987543942f,
+    0.158858143f,  0.987301418f,
+    0.160372457f,  0.987056571f,
+    0.161886394f,  0.986809402f,
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+    0.169450291f,  0.985538735f,
+    0.170961889f,  0.985277642f,
+    0.172473084f,  0.985014231f,
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+    0.177004220f,  0.984210092f,
+    0.178513771f,  0.983937413f,
+    0.180022901f,  0.983662419f,
+    0.181531608f,  0.983385110f,
+    0.183039888f,  0.983105487f,
+    0.184547737f,  0.982823551f,
+    0.186055152f,  0.982539302f,
+    0.187562129f,  0.982252741f,
+    0.189068664f,  0.981963869f,
+    0.190574755f,  0.981672686f,
+    0.192080397f,  0.981379193f,
+    0.193585587f,  0.981083391f,
+    0.195090322f,  0.980785280f,
+    0.196594598f,  0.980484862f,
+    0.198098411f,  0.980182136f,
+    0.199601758f,  0.979877104f,
+    0.201104635f,  0.979569766f,
+    0.202607039f,  0.979260123f,
+    0.204108966f,  0.978948175f,
+    0.205610413f,  0.978633924f,
+    0.207111376f,  0.978317371f,
+    0.208611852f,  0.977998515f,
+    0.210111837f,  0.977677358f,
+    0.211611327f,  0.977353900f,
+    0.213110320f,  0.977028143f,
+    0.214608811f,  0.976700086f,
+    0.216106797f,  0.976369731f,
+    0.217604275f,  0.976037079f,
+    0.219101240f,  0.975702130f,
+    0.220597690f,  0.975364885f,
+    0.222093621f,  0.975025345f,
+    0.223589029f,  0.974683511f,
+    0.225083911f,  0.974339383f,
+    0.226578264f,  0.973992962f,
+    0.228072083f,  0.973644250f,
+    0.229565366f,  0.973293246f,
+    0.231058108f,  0.972939952f,
+    0.232550307f,  0.972584369f,
+    0.234041959f,  0.972226497f,
+    0.235533059f,  0.971866337f,
+    0.237023606f,  0.971503891f,
+    0.238513595f,  0.971139158f,
+    0.240003022f,  0.970772141f,
+    0.241491885f,  0.970402839f,
+    0.242980180f,  0.970031253f,
+    0.244467903f,  0.969657385f,
+    0.245955050f,  0.969281235f,
+    0.247441619f,  0.968902805f,
+    0.248927606f,  0.968522094f,
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+    0.256348682f,  0.966584374f,
+    0.257831102f,  0.966190003f,
+    0.259312915f,  0.965793359f,
+    0.260794118f,  0.965394442f,
+    0.262274707f,  0.964993253f,
+    0.263754679f,  0.964589793f,
+    0.265234030f,  0.964184064f,
+    0.266712757f,  0.963776066f,
+    0.268190857f,  0.963365800f,
+    0.269668326f,  0.962953267f,
+    0.271145160f,  0.962538468f,
+    0.272621355f,  0.962121404f,
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+    0.281464938f,  0.959571513f,
+    0.282936570f,  0.959138622f,
+    0.284407537f,  0.958703475f,
+    0.285877835f,  0.958266071f,
+    0.287347460f,  0.957826413f,
+    0.288816408f,  0.957384501f,
+    0.290284677f,  0.956940336f,
+    0.291752263f,  0.956493919f,
+    0.293219163f,  0.956045251f,
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+    0.296150888f,  0.955141168f,
+    0.297615707f,  0.954685755f,
+    0.299079826f,  0.954228095f,
+    0.300543241f,  0.953768190f,
+    0.302005949f,  0.953306040f,
+    0.303467947f,  0.952841648f,
+    0.304929230f,  0.952375013f,
+    0.306389795f,  0.951906137f,
+    0.307849640f,  0.951435021f,
+    0.309308760f,  0.950961666f,
+    0.310767153f,  0.950486074f,
+    0.312224814f,  0.950008245f,
+    0.313681740f,  0.949528181f,
+    0.315137929f,  0.949045882f,
+    0.316593376f,  0.948561350f,
+    0.318048077f,  0.948074586f,
+    0.319502031f,  0.947585591f,
+    0.320955232f,  0.947094366f,
+    0.322407679f,  0.946600913f,
+    0.323859367f,  0.946105232f,
+    0.325310292f,  0.945607325f,
+    0.326760452f,  0.945107193f,
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+    0.335445147f,  0.942059740f,
+    0.336889853f,  0.941544065f,
+    0.338333767f,  0.941026175f,
+    0.339776884f,  0.940506071f,
+    0.341219202f,  0.939983753f,
+    0.342660717f,  0.939459224f,
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+    0.346980411f,  0.937872376f,
+    0.348418680f,  0.937339012f,
+    0.349856130f,  0.936803442f,
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+    0.365612998f, -0.930766961f,
+    0.364184790f, -0.931326709f,
+    0.362755724f, -0.931884266f,
+    0.361325806f, -0.932439629f,
+    0.359895037f, -0.932992799f,
+    0.358463421f, -0.933543773f,
+    0.357030961f, -0.934092550f,
+    0.355597662f, -0.934639130f,
+    0.354163525f, -0.935183510f,
+    0.352728556f, -0.935725689f,
+    0.351292756f, -0.936265667f,
+    0.349856130f, -0.936803442f,
+    0.348418680f, -0.937339012f,
+    0.346980411f, -0.937872376f,
+    0.345541325f, -0.938403534f,
+    0.344101426f, -0.938932484f,
+    0.342660717f, -0.939459224f,
+    0.341219202f, -0.939983753f,
+    0.339776884f, -0.940506071f,
+    0.338333767f, -0.941026175f,
+    0.336889853f, -0.941544065f,
+    0.335445147f, -0.942059740f,
+    0.333999651f, -0.942573198f,
+    0.332553370f, -0.943084437f,
+    0.331106306f, -0.943593458f,
+    0.329658463f, -0.944100258f,
+    0.328209844f, -0.944604837f,
+    0.326760452f, -0.945107193f,
+    0.325310292f, -0.945607325f,
+    0.323859367f, -0.946105232f,
+    0.322407679f, -0.946600913f,
+    0.320955232f, -0.947094366f,
+    0.319502031f, -0.947585591f,
+    0.318048077f, -0.948074586f,
+    0.316593376f, -0.948561350f,
+    0.315137929f, -0.949045882f,
+    0.313681740f, -0.949528181f,
+    0.312224814f, -0.950008245f,
+    0.310767153f, -0.950486074f,
+    0.309308760f, -0.950961666f,
+    0.307849640f, -0.951435021f,
+    0.306389795f, -0.951906137f,
+    0.304929230f, -0.952375013f,
+    0.303467947f, -0.952841648f,
+    0.302005949f, -0.953306040f,
+    0.300543241f, -0.953768190f,
+    0.299079826f, -0.954228095f,
+    0.297615707f, -0.954685755f,
+    0.296150888f, -0.955141168f,
+    0.294685372f, -0.955594334f,
+    0.293219163f, -0.956045251f,
+    0.291752263f, -0.956493919f,
+    0.290284677f, -0.956940336f,
+    0.288816408f, -0.957384501f,
+    0.287347460f, -0.957826413f,
+    0.285877835f, -0.958266071f,
+    0.284407537f, -0.958703475f,
+    0.282936570f, -0.959138622f,
+    0.281464938f, -0.959571513f,
+    0.279992643f, -0.960002146f,
+    0.278519689f, -0.960430519f,
+    0.277046080f, -0.960856633f,
+    0.275571819f, -0.961280486f,
+    0.274096910f, -0.961702077f,
+    0.272621355f, -0.962121404f,
+    0.271145160f, -0.962538468f,
+    0.269668326f, -0.962953267f,
+    0.268190857f, -0.963365800f,
+    0.266712757f, -0.963776066f,
+    0.265234030f, -0.964184064f,
+    0.263754679f, -0.964589793f,
+    0.262274707f, -0.964993253f,
+    0.260794118f, -0.965394442f,
+    0.259312915f, -0.965793359f,
+    0.257831102f, -0.966190003f,
+    0.256348682f, -0.966584374f,
+    0.254865660f, -0.966976471f,
+    0.253382037f, -0.967366292f,
+    0.251897818f, -0.967753837f,
+    0.250413007f, -0.968139105f,
+    0.248927606f, -0.968522094f,
+    0.247441619f, -0.968902805f,
+    0.245955050f, -0.969281235f,
+    0.244467903f, -0.969657385f,
+    0.242980180f, -0.970031253f,
+    0.241491885f, -0.970402839f,
+    0.240003022f, -0.970772141f,
+    0.238513595f, -0.971139158f,
+    0.237023606f, -0.971503891f,
+    0.235533059f, -0.971866337f,
+    0.234041959f, -0.972226497f,
+    0.232550307f, -0.972584369f,
+    0.231058108f, -0.972939952f,
+    0.229565366f, -0.973293246f,
+    0.228072083f, -0.973644250f,
+    0.226578264f, -0.973992962f,
+    0.225083911f, -0.974339383f,
+    0.223589029f, -0.974683511f,
+    0.222093621f, -0.975025345f,
+    0.220597690f, -0.975364885f,
+    0.219101240f, -0.975702130f,
+    0.217604275f, -0.976037079f,
+    0.216106797f, -0.976369731f,
+    0.214608811f, -0.976700086f,
+    0.213110320f, -0.977028143f,
+    0.211611327f, -0.977353900f,
+    0.210111837f, -0.977677358f,
+    0.208611852f, -0.977998515f,
+    0.207111376f, -0.978317371f,
+    0.205610413f, -0.978633924f,
+    0.204108966f, -0.978948175f,
+    0.202607039f, -0.979260123f,
+    0.201104635f, -0.979569766f,
+    0.199601758f, -0.979877104f,
+    0.198098411f, -0.980182136f,
+    0.196594598f, -0.980484862f,
+    0.195090322f, -0.980785280f,
+    0.193585587f, -0.981083391f,
+    0.192080397f, -0.981379193f,
+    0.190574755f, -0.981672686f,
+    0.189068664f, -0.981963869f,
+    0.187562129f, -0.982252741f,
+    0.186055152f, -0.982539302f,
+    0.184547737f, -0.982823551f,
+    0.183039888f, -0.983105487f,
+    0.181531608f, -0.983385110f,
+    0.180022901f, -0.983662419f,
+    0.178513771f, -0.983937413f,
+    0.177004220f, -0.984210092f,
+    0.175494253f, -0.984480455f,
+    0.173983873f, -0.984748502f,
+    0.172473084f, -0.985014231f,
+    0.170961889f, -0.985277642f,
+    0.169450291f, -0.985538735f,
+    0.167938295f, -0.985797509f,
+    0.166425904f, -0.986053963f,
+    0.164913120f, -0.986308097f,
+    0.163399949f, -0.986559910f,
+    0.161886394f, -0.986809402f,
+    0.160372457f, -0.987056571f,
+    0.158858143f, -0.987301418f,
+    0.157343456f, -0.987543942f,
+    0.155828398f, -0.987784142f,
+    0.154312973f, -0.988022017f,
+    0.152797185f, -0.988257568f,
+    0.151281038f, -0.988490793f,
+    0.149764535f, -0.988721692f,
+    0.148247679f, -0.988950265f,
+    0.146730474f, -0.989176510f,
+    0.145212925f, -0.989400428f,
+    0.143695033f, -0.989622017f,
+    0.142176804f, -0.989841278f,
+    0.140658239f, -0.990058210f,
+    0.139139344f, -0.990272812f,
+    0.137620122f, -0.990485084f,
+    0.136100575f, -0.990695025f,
+    0.134580709f, -0.990902635f,
+    0.133060525f, -0.991107914f,
+    0.131540029f, -0.991310860f,
+    0.130019223f, -0.991511473f,
+    0.128498111f, -0.991709754f,
+    0.126976696f, -0.991905700f,
+    0.125454983f, -0.992099313f,
+    0.123932975f, -0.992290591f,
+    0.122410675f, -0.992479535f,
+    0.120888087f, -0.992666142f,
+    0.119365215f, -0.992850414f,
+    0.117842062f, -0.993032350f,
+    0.116318631f, -0.993211949f,
+    0.114794927f, -0.993389211f,
+    0.113270952f, -0.993564136f,
+    0.111746711f, -0.993736722f,
+    0.110222207f, -0.993906970f,
+    0.108697444f, -0.994074879f,
+    0.107172425f, -0.994240449f,
+    0.105647154f, -0.994403680f,
+    0.104121634f, -0.994564571f,
+    0.102595869f, -0.994723121f,
+    0.101069863f, -0.994879331f,
+    0.099543619f, -0.995033199f,
+    0.098017140f, -0.995184727f,
+    0.096490431f, -0.995333912f,
+    0.094963495f, -0.995480755f,
+    0.093436336f, -0.995625256f,
+    0.091908956f, -0.995767414f,
+    0.090381361f, -0.995907229f,
+    0.088853553f, -0.996044701f,
+    0.087325535f, -0.996179829f,
+    0.085797312f, -0.996312612f,
+    0.084268888f, -0.996443051f,
+    0.082740265f, -0.996571146f,
+    0.081211447f, -0.996696895f,
+    0.079682438f, -0.996820299f,
+    0.078153242f, -0.996941358f,
+    0.076623861f, -0.997060070f,
+    0.075094301f, -0.997176437f,
+    0.073564564f, -0.997290457f,
+    0.072034653f, -0.997402130f,
+    0.070504573f, -0.997511456f,
+    0.068974328f, -0.997618435f,
+    0.067443920f, -0.997723067f,
+    0.065913353f, -0.997825350f,
+    0.064382631f, -0.997925286f,
+    0.062851758f, -0.998022874f,
+    0.061320736f, -0.998118113f,
+    0.059789571f, -0.998211003f,
+    0.058258265f, -0.998301545f,
+    0.056726821f, -0.998389737f,
+    0.055195244f, -0.998475581f,
+    0.053663538f, -0.998559074f,
+    0.052131705f, -0.998640218f,
+    0.050599749f, -0.998719012f,
+    0.049067674f, -0.998795456f,
+    0.047535484f, -0.998869550f,
+    0.046003182f, -0.998941293f,
+    0.044470772f, -0.999010686f,
+    0.042938257f, -0.999077728f,
+    0.041405641f, -0.999142419f,
+    0.039872928f, -0.999204759f,
+    0.038340120f, -0.999264747f,
+    0.036807223f, -0.999322385f,
+    0.035274239f, -0.999377670f,
+    0.033741172f, -0.999430605f,
+    0.032208025f, -0.999481187f,
+    0.030674803f, -0.999529418f,
+    0.029141509f, -0.999575296f,
+    0.027608146f, -0.999618822f,
+    0.026074718f, -0.999659997f,
+    0.024541229f, -0.999698819f,
+    0.023007681f, -0.999735288f,
+    0.021474080f, -0.999769405f,
+    0.019940429f, -0.999801170f,
+    0.018406730f, -0.999830582f,
+    0.016872988f, -0.999857641f,
+    0.015339206f, -0.999882347f,
+    0.013805389f, -0.999904701f,
+    0.012271538f, -0.999924702f,
+    0.010737659f, -0.999942350f,
+    0.009203755f, -0.999957645f,
+    0.007669829f, -0.999970586f,
+    0.006135885f, -0.999981175f,
+    0.004601926f, -0.999989411f,
+    0.003067957f, -0.999995294f,
+    0.001533980f, -0.999998823f
+};
+
+
+/**   
+ * \par    
+ * Example code for the generation of the floating-point sine table:
+ * <pre>
+ * tableSize = 512;    
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]=sin(2*pi*n/tableSize);    
+ * }</pre>    
+ * \par    
+ * where pi value is  3.14159265358979    
+ */
+
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+   0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+   0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+   0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+   0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+   0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+   0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+   0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+   0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+   0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+   0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+   0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+   0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+   0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+   0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+   0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+   0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+   0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+   0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+   0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+   0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+   0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+   0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+   0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+   0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+   0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+   0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+   0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+   0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+   0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+   0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+   0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+   0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+   0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+   0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+   0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+   0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+   0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+   0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+   0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+   0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+   0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+   0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+   0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+   -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+   -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+   -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, 
+   -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, 
+   -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, 
+   -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, 
+   -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, 
+   -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, 
+   -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, 
+   -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, 
+   -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, 
+   -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, 
+   -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, 
+   -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, 
+   -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, 
+   -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, 
+   -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, 
+   -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, 
+   -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, 
+   -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, 
+   -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, 
+   -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, 
+   -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, 
+   -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, 
+   -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, 
+   -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, 
+   -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, 
+   -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, 
+   -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, 
+   -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, 
+   -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, 
+   -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, 
+   -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, 
+   -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, 
+   -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, 
+   -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, 
+   -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, 
+   -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, 
+   -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, 
+   -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, 
+   -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, 
+   -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, 
+   -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, 
+   -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, 
+   -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, 
+   -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, 
+   -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, 
+   -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, 
+   -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, 
+   -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, 
+   -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+
+/**   
+ * \par    
+ * Table values are in Q31 (1.31 fixed-point format) and generation is done in 
+ * three steps.  First,  generate sin values in floating point:    
+ * <pre>
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * } </pre>    
+ * where pi value is  3.14159265358979    
+ * \par    
+ * Second, convert floating-point to Q31 (Fixed point):
+ *	(sinTable[i] * pow(2, 31))    
+ * \par    
+ * Finally, round to the nearest integer value:
+ * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+   0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E, 
+   0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF, 
+   0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026, 
+   0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F, 
+   0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA, 
+   0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057, 
+   0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6, 
+   0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F, 
+   0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4, 
+   0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B, 
+   0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154, 
+   0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F, 
+   0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD, 
+   0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC, 
+   0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2, 
+   0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF, 
+   0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D, 
+   0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290, 
+   0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F, 
+   0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6, 
+   0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0, 
+   0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0, 
+   0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6, 
+   0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F, 
+   0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290, 
+   0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D, 
+   0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF, 
+   0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2, 
+   0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC, 
+   0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD, 
+   0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F, 
+   0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154, 
+   0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B, 
+   0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4, 
+   0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F, 
+   0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6, 
+   0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057, 
+   0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA, 
+   0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F, 
+   0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026, 
+   0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF, 
+   0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E, 
+   0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0, 
+   0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB, 
+   0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F, 
+   0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B, 
+   0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A, 
+   0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E, 
+   0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50, 
+   0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3, 
+   0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B, 
+   0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3, 
+   0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106, 
+   0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284, 
+   0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70, 
+   0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94, 
+   0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663, 
+   0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30, 
+   0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677, 
+   0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153, 
+   0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422, 
+   0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D, 
+   0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D, 
+   0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6, 
+   0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A, 
+   0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A, 
+   0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14, 
+   0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD, 
+   0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677, 
+   0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F, 
+   0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66, 
+   0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87, 
+   0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D, 
+   0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73, 
+   0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68, 
+   0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92, 
+   0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368, 
+   0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB, 
+   0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149, 
+   0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39, 
+   0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B, 
+   0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4, 
+   0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622, 
+   0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C, 
+   0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3, 
+   0xFCDBD541, 0xFE6DE2E0, 0x00000000 
+};
+
+/**   
+ * \par    
+ * Table values are in Q15 (1.15 fixed-point format) and generation is done in 
+ * three steps.  First,  generate sin values in floating point:    
+ * <pre>
+ * tableSize = 512;      
+ * for(n = 0; n < (tableSize + 1); n++)    
+ * {    
+ *	sinTable[n]= sin(2*pi*n/tableSize);    
+ * } </pre>    
+ * where pi value is  3.14159265358979    
+ * \par    
+ * Second, convert floating-point to Q15 (Fixed point):
+ *	(sinTable[i] * pow(2, 15))    
+ * \par    
+ * Finally, round to the nearest integer value:
+ * 	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);    
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+   0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8,
+   0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8,
+   0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D,
+   0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB,
+   0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82,
+   0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD,
+   0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255,
+   0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06,
+   0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D,
+   0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE,
+   0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E,
+   0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A,
+   0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3,
+   0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE,
+   0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843,
+   0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A,
+   0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA,
+   0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7,
+   0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB,
+   0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A,
+   0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707,
+   0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367,
+   0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9,
+   0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005,
+   0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129,
+   0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5,
+   0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB,
+   0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A,
+   0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E,
+   0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E,
+   0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C,
+   0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927,
+   0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236,
+   0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F,
+   0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65,
+   0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA,
+   0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04,
+   0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D,
+   0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695,
+   0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000
+};
diff --git a/DSP_Lib/Source/CommonTables/arm_const_structs.c b/DSP_Lib/Source/CommonTables/arm_const_structs.c
new file mode 100644
index 0000000..f05c1c2
--- /dev/null
+++ b/DSP_Lib/Source/CommonTables/arm_const_structs.c
@@ -0,0 +1,156 @@
+/* ---------------------------------------------------------------------- 
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+* 
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+* 
+* Project: 	    CMSIS DSP Library 
+* Title:	    arm_const_structs.c 
+* 
+* Description:	This file has constant structs that are initialized for
+*              user convenience.  For example, some can be given as 
+*              arguments to the arm_cfft_f32() function.
+* 
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_const_structs.h"
+
+//Floating-point structs
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = {
+	16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE__16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = {
+	32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE__32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = {
+	64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE__64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = {
+	128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = {
+	256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = {
+	512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = {
+	1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
+	2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
+	4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE4096_TABLE_LENGTH
+};
+
+//Fixed-point structs
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
+	16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
+	32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
+	64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
+	128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
+	256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
+	512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
+	1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
+	2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
+	4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
+	16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
+	32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
+	64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
+	128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
+	256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
+	512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
+	1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
+	2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
+	4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 0000000..c54ae41
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_conj_f32.c    
+*    
+* Description:	Floating-point complex conjugate.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @defgroup cmplx_conj Complex Conjugate        
+ *        
+ * Conjugates the elements of a complex data vector.        
+ *       
+ * The <code>pSrc</code> points to the source data and        
+ * <code>pDst</code> points to the where the result should be written.        
+ * <code>numSamples</code> specifies the number of complex samples        
+ * and the data in each array is stored in an interleaved fashion        
+ * (real, imag, real, imag, ...).        
+ * Each array has a total of <code>2*numSamples</code> values.        
+ * The underlying algorithm is used:        
+ *        
+ * <pre>        
+ * for(n=0; n<numSamples; n++) {        
+ *     pDst[(2*n)+0)] = pSrc[(2*n)+0];     // real part        
+ *     pDst[(2*n)+1)] = -pSrc[(2*n)+1];    // imag part        
+ * }        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup cmplx_conj        
+ * @{        
+ */
+
+/**        
+ * @brief  Floating-point complex conjugate.        
+ * @param  *pSrc points to the input vector        
+ * @param  *pDst points to the output vector        
+ * @param  numSamples number of complex samples in each vector        
+ * @return none.        
+ */
+
+void arm_cmplx_conj_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inR1, inR2, inR3, inR4;
+  float32_t inI1, inI2, inI3, inI4;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* read real input samples */
+    inR1 = pSrc[0];
+    /* store real samples to destination */
+    pDst[0] = inR1;
+    inR2 = pSrc[2];
+    pDst[2] = inR2;
+    inR3 = pSrc[4];
+    pDst[4] = inR3;
+    inR4 = pSrc[6];
+    pDst[6] = inR4;
+
+    /* read imaginary input samples */
+    inI1 = pSrc[1];
+    inI2 = pSrc[3];
+
+    /* conjugate input */
+    inI1 = -inI1;
+
+    /* read imaginary input samples */
+    inI3 = pSrc[5];
+
+    /* conjugate input */
+    inI2 = -inI2;
+
+    /* read imaginary input samples */
+    inI4 = pSrc[7];
+
+    /* conjugate input */
+    inI3 = -inI3;
+
+    /* store imaginary samples to destination */
+    pDst[1] = inI1;
+    pDst[3] = inI2;
+
+    /* conjugate input */
+    inI4 = -inI4;
+
+    /* store imaginary samples to destination */
+    pDst[5] = inI3;
+
+    /* increment source pointer by 8 to process next sampels */
+    pSrc += 8u;
+
+    /* store imaginary sample to destination */
+    pDst[7] = inI4;
+
+    /* increment destination pointer by 8 to store next samples */
+    pDst += 8u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* realOut + j (imagOut) = realIn + j (-1) imagIn */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of cmplx_conj group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..c1ce26c
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_conj_q15.c    
+*    
+* Description:	Q15 complex conjugate.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_conj    
+ * @{    
+ */
+
+/**    
+ * @brief  Q15 complex conjugate.    
+ * @param  *pSrc points to the input vector    
+ * @param  *pDst points to the output vector    
+ * @param  numSamples number of complex samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.    
+ */
+
+void arm_cmplx_conj_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t zero = 0;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    in1 = __QASX(zero, in1);
+    in2 = __QASX(zero, in2);
+    in3 = __QASX(zero, in3);
+    in4 = __QASX(zero, in4);
+
+#else
+
+    in1 = __QSAX(zero, in1);
+    in2 = __QSAX(zero, in2);
+    in3 = __QSAX(zero, in3);
+    in4 = __QSAX(zero, in4);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+    in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+    in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+    in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+    *__SIMD32(pDst)++ = in1;
+    *__SIMD32(pDst)++ = in2;
+    *__SIMD32(pDst)++ = in3;
+    *__SIMD32(pDst)++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    *pDst++ = __SSAT(-*pSrc++, 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  q15_t in;
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* realOut + j (imagOut) = realIn+ j (-1) imagIn */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in;
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of cmplx_conj group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..f882f4c
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,180 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_conj_q31.c    
+*    
+* Description:	Q31 complex conjugate.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @addtogroup cmplx_conj        
+ * @{        
+ */
+
+/**        
+ * @brief  Q31 complex conjugate.        
+ * @param  *pSrc points to the input vector        
+ * @param  *pDst points to the output vector        
+ * @param  numSamples number of complex samples in each vector        
+ * @return none.        
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.        
+ */
+
+void arm_cmplx_conj_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in;                                      /* Input value */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inR1, inR2, inR3, inR4;                  /* Temporary real variables */
+  q31_t inI1, inI2, inI3, inI4;                  /* Temporary imaginary variables */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
+    /* read real input sample */
+    inR1 = pSrc[0];
+    /* store real input sample */
+    pDst[0] = inR1;
+
+    /* read imaginary input sample */
+    inI1 = pSrc[1];
+
+    /* read real input sample */
+    inR2 = pSrc[2];
+    /* store real input sample */
+    pDst[2] = inR2;
+
+    /* read imaginary input sample */
+    inI2 = pSrc[3];
+
+    /* negate imaginary input sample */
+    inI1 = __QSUB(0, inI1);
+
+    /* read real input sample */
+    inR3 = pSrc[4];
+    /* store real input sample */
+    pDst[4] = inR3;
+
+    /* read imaginary input sample */
+    inI3 = pSrc[5];
+
+    /* negate imaginary input sample */
+    inI2 = __QSUB(0, inI2);
+
+    /* read real input sample */
+    inR4 = pSrc[6];
+    /* store real input sample */
+    pDst[6] = inR4;
+
+    /* negate imaginary input sample */
+    inI3 = __QSUB(0, inI3);
+
+    /* store imaginary input sample */
+    inI4 = pSrc[7];
+
+    /* store imaginary input samples */
+    pDst[1] = inI1;
+
+    /* negate imaginary input sample */
+    inI4 = __QSUB(0, inI4);
+
+    /* store imaginary input samples */
+    pDst[3] = inI2;
+
+    /* increment source pointer by 8 to proecess next samples */
+    pSrc += 8u;
+
+    /* store imaginary input samples */
+    pDst[5] = inI3;
+    pDst[7] = inI4;
+
+    /* increment destination pointer by 8 to process next samples */
+    pDst += 8u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
+    *pDst++ = *pSrc++;
+    in = *pSrc++;
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of cmplx_conj group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..1a6acb8
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,203 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_dot_prod_f32.c    
+*    
+* Description:	Floating-point complex dot product    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @defgroup cmplx_dot_prod Complex Dot Product    
+ *    
+ * Computes the dot product of two complex vectors.    
+ * The vectors are multiplied element-by-element and then summed.    
+ *   
+ * The <code>pSrcA</code> points to the first complex input vector and    
+ * <code>pSrcB</code> points to the second complex input vector.    
+ * <code>numSamples</code> specifies the number of complex samples    
+ * and the data in each array is stored in an interleaved fashion    
+ * (real, imag, real, imag, ...).    
+ * Each array has a total of <code>2*numSamples</code> values.    
+ *    
+ * The underlying algorithm is used:    
+ * <pre>    
+ * realResult=0;    
+ * imagResult=0;    
+ * for(n=0; n<numSamples; n++) {    
+ *     realResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+0] - pSrcA[(2*n)+1]*pSrcB[(2*n)+1];    
+ *     imagResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+1] + pSrcA[(2*n)+1]*pSrcB[(2*n)+0];    
+ * }    
+ * </pre>    
+ *    
+ * There are separate functions for floating-point, Q15, and Q31 data types.    
+ */
+
+/**    
+ * @addtogroup cmplx_dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief  Floating-point complex dot product    
+ * @param  *pSrcA points to the first input vector    
+ * @param  *pSrcB points to the second input vector    
+ * @param  numSamples number of complex samples in each vector    
+ * @param  *realResult real part of the result returned here    
+ * @param  *imagResult imaginary part of the result returned here    
+ * @return none.    
+ */
+
+void arm_cmplx_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t numSamples,
+  float32_t * realResult,
+  float32_t * imagResult)
+{
+  float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result storage */
+  float32_t a0,b0,c0,d0;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+    
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++; 
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+    
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++; 
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples & 0x3u;
+
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Store the real and imaginary results in the destination buffers */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**    
+ * @} end of cmplx_dot_prod group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..d794e2c
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,189 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_dot_prod_q15.c    
+*    
+* Description:	Processing function for the Q15 Complex Dot product    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief  Q15 complex dot product    
+ * @param  *pSrcA points to the first input vector    
+ * @param  *pSrcB points to the second input vector    
+ * @param  numSamples number of complex samples in each vector    
+ * @param  *realResult real part of the result returned here    
+ * @param  *imagResult imaginary part of the result returned here    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.    
+ * These are accumulated in a 64-bit accumulator with 34.30 precision.    
+ * As a final step, the accumulators are converted to 8.24 format.    
+ * The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format.    
+ */
+
+void arm_cmplx_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t numSamples,
+  q31_t * realResult,
+  q31_t * imagResult)
+{
+  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q15_t a0,b0,c0,d0;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Store the real and imaginary results in 8.24 format  */
+  /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+  *realResult = (q31_t) (real_sum >> 6);
+  /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+  *imagResult = (q31_t) (imag_sum >> 6);
+}
+
+/**    
+ * @} end of cmplx_dot_prod group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..6eeafc1
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_dot_prod_q31.c    
+*    
+* Description:	Q31 complex dot product    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_dot_prod    
+ * @{    
+ */
+
+/**    
+ * @brief  Q31 complex dot product    
+ * @param  *pSrcA points to the first input vector    
+ * @param  *pSrcB points to the second input vector    
+ * @param  numSamples number of complex samples in each vector    
+ * @param  *realResult real part of the result returned here    
+ * @param  *imagResult imaginary part of the result returned here    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.    
+ * The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.    
+ * Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768.    
+ * The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format.    
+ * Input down scaling is not required.    
+ */
+
+void arm_cmplx_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t numSamples,
+  q63_t * realResult,
+  q63_t * imagResult)
+{
+  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q31_t a0,b0,c0,d0;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+      
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples  is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;  
+  
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Store the real and imaginary results in 16.48 format  */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**    
+ * @} end of cmplx_dot_prod group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..497348b
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,165 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_f32.c    
+*    
+* Description:	Floating-point complex magnitude.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @defgroup cmplx_mag Complex Magnitude    
+ *    
+ * Computes the magnitude of the elements of a complex data vector.    
+ *   
+ * The <code>pSrc</code> points to the source data and    
+ * <code>pDst</code> points to the where the result should be written.    
+ * <code>numSamples</code> specifies the number of complex samples    
+ * in the input array and the data is stored in an interleaved fashion    
+ * (real, imag, real, imag, ...).    
+ * The input array has a total of <code>2*numSamples</code> values;    
+ * the output array has a total of <code>numSamples</code> values.    
+ * The underlying algorithm is used:    
+ *    
+ * <pre>    
+ * for(n=0; n<numSamples; n++) {    
+ *     pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);    
+ * }    
+ * </pre>    
+ *    
+ * There are separate functions for floating-point, Q15, and Q31 data types.    
+ */
+
+/**    
+ * @addtogroup cmplx_mag    
+ * @{    
+ */
+/**    
+ * @brief Floating-point complex magnitude.    
+ * @param[in]       *pSrc points to complex input buffer    
+ * @param[out]      *pDst points to real output buffer    
+ * @param[in]       numSamples number of complex samples in the input vector    
+ * @return none.    
+ *    
+ */
+
+
+void arm_cmplx_mag_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t realIn, imagIn;                      /* Temporary variables to hold input values */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* out = sqrt((real * real) + (imag * imag)) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of cmplx_mag group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..bfe2a5d
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_q15.c    
+*    
+* Description:	Q15 complex magnitude.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_mag    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Q15 complex magnitude    
+ * @param  *pSrc points to the complex input vector    
+ * @param  *pDst points to the real output vector    
+ * @param  numSamples number of complex samples in the input vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.    
+ */
+
+void arm_cmplx_mag_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t acc2, acc3;
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+    acc0 = __SMUAD(in1, in1);
+    acc1 = __SMUAD(in2, in2);
+    acc2 = __SMUAD(in3, in3);
+    acc3 = __SMUAD(in4, in4);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) ((acc0) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc1) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc2) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc3) >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    acc0 = __SMUAD(in1, in1);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t real, imag;                              /* Temporary variables to hold input values */
+
+  while(numSamples > 0u)
+  {
+    /* out = sqrt(real * real + imag * imag) */
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    acc0 = (real * real);
+    acc1 = (imag * imag);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of cmplx_mag group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..1091673
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,185 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_q31.c    
+*    
+* Description:	Q31 complex magnitude    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @addtogroup cmplx_mag        
+ * @{        
+ */
+
+/**        
+ * @brief  Q31 complex magnitude        
+ * @param  *pSrc points to the complex input vector        
+ * @param  *pDst points to the real output vector        
+ * @param  numSamples number of complex samples in the input vector        
+ * @return none.        
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.        
+ * Input down scaling is not required.        
+ */
+
+void arm_cmplx_mag_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t real, imag;                              /* Temporary variables to hold input values */
+  q31_t acc0, acc1;                              /* Accumulators */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t real1, real2, imag1, imag2;              /* Temporary variables to hold input values */
+  q31_t out1, out2, out3, out4;                  /* Accumulators */
+  q63_t mul1, mul2, mul3, mul4;                  /* Temporary variables */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* read complex input from source buffer */
+    real1 = pSrc[0];
+    imag1 = pSrc[1];
+    real2 = pSrc[2];
+    imag2 = pSrc[3];
+
+    /* calculate power of input values */
+    mul1 = (q63_t) real1 *real1;
+    mul2 = (q63_t) imag1 *imag1;
+    mul3 = (q63_t) real2 *real2;
+    mul4 = (q63_t) imag2 *imag2;
+
+    /* get the result to 3.29 format */
+    out1 = (q31_t) (mul1 >> 33);
+    out2 = (q31_t) (mul2 >> 33);
+    out3 = (q31_t) (mul3 >> 33);
+    out4 = (q31_t) (mul4 >> 33);
+
+    /* add real and imaginary accumulators */
+    out1 = out1 + out2;
+    out3 = out3 + out4;
+
+    /* read complex input from source buffer */
+    real1 = pSrc[4];
+    imag1 = pSrc[5];
+    real2 = pSrc[6];
+    imag2 = pSrc[7];
+
+    /* calculate square root */
+    arm_sqrt_q31(out1, &pDst[0]);
+
+    /* calculate power of input values */
+    mul1 = (q63_t) real1 *real1;
+
+    /* calculate square root */
+    arm_sqrt_q31(out3, &pDst[1]);
+
+    /* calculate power of input values */
+    mul2 = (q63_t) imag1 *imag1;
+    mul3 = (q63_t) real2 *real2;
+    mul4 = (q63_t) imag2 *imag2;
+
+    /* get the result to 3.29 format */
+    out1 = (q31_t) (mul1 >> 33);
+    out2 = (q31_t) (mul2 >> 33);
+    out3 = (q31_t) (mul3 >> 33);
+    out4 = (q31_t) (mul4 >> 33);
+
+    /* add real and imaginary accumulators */
+    out1 = out1 + out2;
+    out3 = out3 + out4;
+
+    /* calculate square root */
+    arm_sqrt_q31(out1, &pDst[2]);
+
+    /* increment destination by 8 to process next samples */
+    pSrc += 8u;
+
+    /* calculate square root */
+    arm_sqrt_q31(out3, &pDst[3]);
+
+    /* increment destination by 4 to process next samples */
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 2.30 format in the destination buffer. */
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of cmplx_mag group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..5bf3f80
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,215 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_squared_f32.c    
+*    
+* Description:	Floating-point complex magnitude squared.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @defgroup cmplx_mag_squared Complex Magnitude Squared        
+ *        
+ * Computes the magnitude squared of the elements of a complex data vector.        
+ *       
+ * The <code>pSrc</code> points to the source data and        
+ * <code>pDst</code> points to the where the result should be written.        
+ * <code>numSamples</code> specifies the number of complex samples        
+ * in the input array and the data is stored in an interleaved fashion        
+ * (real, imag, real, imag, ...).        
+ * The input array has a total of <code>2*numSamples</code> values;        
+ * the output array has a total of <code>numSamples</code> values.        
+ *        
+ * The underlying algorithm is used:        
+ *        
+ * <pre>        
+ * for(n=0; n<numSamples; n++) {        
+ *     pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;        
+ * }        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup cmplx_mag_squared        
+ * @{        
+ */
+
+
+/**        
+ * @brief  Floating-point complex magnitude squared        
+ * @param[in]  *pSrc points to the complex input vector        
+ * @param[out]  *pDst points to the real output vector        
+ * @param[in]  numSamples number of complex samples in the input vector        
+ * @return none.        
+ */
+
+void arm_cmplx_mag_squared_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t real, imag;                          /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  float32_t real1, real2, real3, real4;          /* Temporary variables to hold real values */
+  float32_t imag1, imag2, imag3, imag4;          /* Temporary variables to hold imaginary values */
+  float32_t mul1, mul2, mul3, mul4;              /* Temporary variables */
+  float32_t mul5, mul6, mul7, mul8;              /* Temporary variables */
+  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output values */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    /* read real input sample from source buffer */
+    real1 = pSrc[0];
+    /* read imaginary input sample from source buffer */
+    imag1 = pSrc[1];
+
+    /* calculate power of real value */
+    mul1 = real1 * real1;
+
+    /* read real input sample from source buffer */
+    real2 = pSrc[2];
+
+    /* calculate power of imaginary value */
+    mul2 = imag1 * imag1;
+
+    /* read imaginary input sample from source buffer */
+    imag2 = pSrc[3];
+
+    /* calculate power of real value */
+    mul3 = real2 * real2;
+
+    /* read real input sample from source buffer */
+    real3 = pSrc[4];
+
+    /* calculate power of imaginary value */
+    mul4 = imag2 * imag2;
+
+    /* read imaginary input sample from source buffer */
+    imag3 = pSrc[5];
+
+    /* calculate power of real value */
+    mul5 = real3 * real3;
+    /* calculate power of imaginary value */
+    mul6 = imag3 * imag3;
+
+    /* read real input sample from source buffer */
+    real4 = pSrc[6];
+
+    /* accumulate real and imaginary powers */
+    out1 = mul1 + mul2;
+
+    /* read imaginary input sample from source buffer */
+    imag4 = pSrc[7];
+
+    /* accumulate real and imaginary powers */
+    out2 = mul3 + mul4;
+
+    /* calculate power of real value */
+    mul7 = real4 * real4;
+    /* calculate power of imaginary value */
+    mul8 = imag4 * imag4;
+
+    /* store output to destination */
+    pDst[0] = out1;
+
+    /* accumulate real and imaginary powers */
+    out3 = mul5 + mul6;
+
+    /* store output to destination */
+    pDst[1] = out2;
+
+    /* accumulate real and imaginary powers */
+    out4 = mul7 + mul8;
+
+    /* store output to destination */
+    pDst[2] = out3;
+
+    /* increment destination pointer by 8 to process next samples */
+    pSrc += 8u;
+
+    /* store output to destination */
+    pDst[3] = out4;
+
+    /* increment destination pointer by 4 to process next samples */
+    pDst += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    /* out = (real * real) + (imag * imag) */
+    /* store the result in the destination buffer. */
+    *pDst++ = (real * real) + (imag * imag);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of cmplx_mag_squared group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..f5148ba
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_squared_q15.c    
+*    
+* Description:	Q15 complex magnitude squared.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_mag_squared    
+ * @{    
+ */
+
+/**    
+ * @brief  Q15 complex magnitude squared    
+ * @param  *pSrc points to the complex input vector    
+ * @param  *pDst points to the real output vector    
+ * @param  numSamples number of complex samples in the input vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
+ */
+
+void arm_cmplx_mag_squared_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t acc2, acc3;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+    acc0 = __SMUAD(in1, in1);
+    acc1 = __SMUAD(in2, in2);
+    acc2 = __SMUAD(in3, in3);
+    acc3 = __SMUAD(in4, in4);
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+    *pDst++ = (q15_t) (acc1 >> 17);
+    *pDst++ = (q15_t) (acc2 >> 17);
+    *pDst++ = (q15_t) (acc3 >> 17);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    acc0 = __SMUAD(in1, in1);
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t real, imag;                              /* Temporary variables to store real and imaginary values */
+
+  while(numSamples > 0u)
+  {
+    /* out = ((real * real) + (imag * imag)) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (real * real);
+    acc1 = (imag * imag);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of cmplx_mag_squared group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..2cc0b1f
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_cmplx_mag_squared_q31.c    
+*    
+* Description:	Q31 complex magnitude squared.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup cmplx_mag_squared    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Q31 complex magnitude squared    
+ * @param  *pSrc points to the complex input vector    
+ * @param  *pDst points to the real output vector    
+ * @param  numSamples number of complex samples in the input vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
+ * Input down scaling is not required.    
+ */
+
+void arm_cmplx_mag_squared_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t real, imag;                              /* Temporary variables to store real and imaginary values */
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* out = ((real * real) + (imag * imag)) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of cmplx_mag_squared group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..bfb7d51
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,207 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_cmplx_f32.c    
+*    
+* Description:	Floating-point complex-by-complex multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication        
+ *        
+ * Multiplies a complex vector by another complex vector and generates a complex result.        
+ * The data in the complex arrays is stored in an interleaved fashion        
+ * (real, imag, real, imag, ...).        
+ * The parameter <code>numSamples</code> represents the number of complex        
+ * samples processed.  The complex arrays have a total of <code>2*numSamples</code>        
+ * real values.        
+ *        
+ * The underlying algorithm is used:        
+ *        
+ * <pre>        
+ * for(n=0; n<numSamples; n++) {        
+ *     pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];        
+ *     pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];        
+ * }        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup CmplxByCmplxMult        
+ * @{        
+ */
+
+
+/**        
+ * @brief  Floating-point complex-by-complex multiplication        
+ * @param[in]  *pSrcA points to the first input vector        
+ * @param[in]  *pSrcB points to the second input vector        
+ * @param[out]  *pDst  points to the output vector        
+ * @param[in]  numSamples number of complex samples in each vector        
+ * @return none.        
+ */
+
+void arm_cmplx_mult_cmplx_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t a1, b1, c1, d1;                      /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t a2, b2, c2, d2;                      /* Temporary variables to store real and imaginary values */
+  float32_t acc1, acc2, acc3, acc4;
+
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a1 = *pSrcA;                /* A[2 * i] */
+    c1 = *pSrcB;                /* B[2 * i] */
+
+    b1 = *(pSrcA + 1);          /* A[2 * i + 1] */
+    acc1 = a1 * c1;             /* acc1 = A[2 * i] * B[2 * i] */
+
+    a2 = *(pSrcA + 2);          /* A[2 * i + 2] */
+    acc2 = (b1 * c1);           /* acc2 = A[2 * i + 1] * B[2 * i] */
+
+    d1 = *(pSrcB + 1);          /* B[2 * i + 1] */
+    c2 = *(pSrcB + 2);          /* B[2 * i + 2] */
+    acc1 -= b1 * d1;            /* acc1 =      A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
+
+    d2 = *(pSrcB + 3);          /* B[2 * i + 3] */
+    acc3 = a2 * c2;             /* acc3 =       A[2 * i + 2] * B[2 * i + 2] */
+
+    b2 = *(pSrcA + 3);          /* A[2 * i + 3] */
+    acc2 += (a1 * d1);          /* acc2 =      A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */
+
+    a1 = *(pSrcA + 4);          /* A[2 * i + 4] */
+    acc4 = (a2 * d2);           /* acc4 =   A[2 * i + 2] * B[2 * i + 3] */
+
+    c1 = *(pSrcB + 4);          /* B[2 * i + 4] */
+    acc3 -= (b2 * d2);          /* acc3 =       A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */
+    *pDst = acc1;               /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
+
+    b1 = *(pSrcA + 5);          /* A[2 * i + 5] */
+    acc4 += b2 * c2;            /* acc4 =   A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */
+
+    *(pDst + 1) = acc2;         /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1]  */
+    acc1 = (a1 * c1);
+
+    d1 = *(pSrcB + 5);
+    acc2 = (b1 * c1);
+
+    *(pDst + 2) = acc3;
+    *(pDst + 3) = acc4;
+
+    a2 = *(pSrcA + 6);
+    acc1 -= (b1 * d1);
+
+    c2 = *(pSrcB + 6);
+    acc2 += (a1 * d1);
+
+    b2 = *(pSrcA + 7);
+    acc3 = (a2 * c2);
+
+    d2 = *(pSrcB + 7);
+    acc4 = (b2 * c2);
+
+    *(pDst + 4) = acc1;
+    pSrcA += 8u;
+
+    acc3 -= (b2 * d2);
+    acc4 += (a2 * d2);
+
+    *(pDst + 5) = acc2;
+    pSrcB += 8u;
+
+    *(pDst + 6) = acc3;
+    *(pDst + 7) = acc4;
+
+    pDst += 8u;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a1 = *pSrcA++;
+    b1 = *pSrcA++;
+    c1 = *pSrcB++;
+    d1 = *pSrcB++;
+
+    /* store the result in the destination buffer. */
+    *pDst++ = (a1 * c1) - (b1 * d1);
+    *pDst++ = (a1 * d1) + (b1 * c1);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of CmplxByCmplxMult group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..df6eac0
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,193 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_cmplx_q15.c    
+*    
+* Description:	Q15 complex-by-complex multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup CmplxByCmplxMult    
+ * @{    
+ */
+
+/**    
+ * @brief  Q15 complex-by-complex multiplication    
+ * @param[in]  *pSrcA points to the first input vector    
+ * @param[in]  *pSrcB points to the second input vector    
+ * @param[out]  *pDst  points to the output vector    
+ * @param[in]  numSamples number of complex samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.    
+ */
+
+void arm_cmplx_mult_cmplx_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q15_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of CmplxByCmplxMult group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..ec6b947
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,326 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_cmplx_q31.c    
+*    
+* Description:	Q31 complex-by-complex multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup CmplxByCmplxMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Q31 complex-by-complex multiplication    
+ * @param[in]  *pSrcA points to the first input vector    
+ * @param[in]  *pSrcB points to the second input vector    
+ * @param[out]  *pDst  points to the output vector    
+ * @param[in]  numSamples number of complex samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.    
+ * Input down scaling is not required.    
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t mul1, mul2, mul3, mul4;
+  q31_t out1, out2;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 1u;
+
+  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.     
+   ** a second loop below computes the remaining 1 sample. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.     
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x2u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of CmplxByCmplxMult group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..04e8eca
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,225 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_real_f32.c    
+*    
+* Description:	Floating-point complex by real multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupCmplxMath        
+ */
+
+/**        
+ * @defgroup CmplxByRealMult Complex-by-Real Multiplication        
+ *        
+ * Multiplies a complex vector by a real vector and generates a complex result.        
+ * The data in the complex arrays is stored in an interleaved fashion        
+ * (real, imag, real, imag, ...).        
+ * The parameter <code>numSamples</code> represents the number of complex        
+ * samples processed.  The complex arrays have a total of <code>2*numSamples</code>        
+ * real values while the real array has a total of <code>numSamples</code>        
+ * real values.        
+ *        
+ * The underlying algorithm is used:        
+ *        
+ * <pre>        
+ * for(n=0; n<numSamples; n++) {        
+ *     pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];        
+ *     pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];        
+ * }        
+ * </pre>        
+ *        
+ * There are separate functions for floating-point, Q15, and Q31 data types.        
+ */
+
+/**        
+ * @addtogroup CmplxByRealMult        
+ * @{        
+ */
+
+
+/**        
+ * @brief  Floating-point complex-by-real multiplication        
+ * @param[in]  *pSrcCmplx points to the complex input vector        
+ * @param[in]  *pSrcReal points to the real input vector        
+ * @param[out]  *pCmplxDst points to the complex output vector        
+ * @param[in]  numSamples number of samples in each vector        
+ * @return none.        
+ */
+
+void arm_cmplx_mult_real_f32(
+  float32_t * pSrcCmplx,
+  float32_t * pSrcReal,
+  float32_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inA1, inA2, inA3, inA4;              /* Temporary variables to hold input data */
+  float32_t inA5, inA6, inA7, inA8;              /* Temporary variables to hold input data */
+  float32_t inB1, inB2, inB3, inB4;              /* Temporary variables to hold input data */
+  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output data */
+  float32_t out5, out6, out7, out8;              /* Temporary variables to hold output data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read input from complex input buffer */
+    inA1 = pSrcCmplx[0];
+    inA2 = pSrcCmplx[1];
+    /* read input from real input buffer */
+    inB1 = pSrcReal[0];
+
+    /* read input from complex input buffer */
+    inA3 = pSrcCmplx[2];
+
+    /* multiply complex buffer real input with real buffer input */
+    out1 = inA1 * inB1;
+
+    /* read input from complex input buffer */
+    inA4 = pSrcCmplx[3];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out2 = inA2 * inB1;
+
+    /* read input from real input buffer */
+    inB2 = pSrcReal[1];
+    /* read input from complex input buffer */
+    inA5 = pSrcCmplx[4];
+
+    /* multiply complex buffer real input with real buffer input */
+    out3 = inA3 * inB2;
+
+    /* read input from complex input buffer */
+    inA6 = pSrcCmplx[5];
+    /* read input from real input buffer */
+    inB3 = pSrcReal[2];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out4 = inA4 * inB2;
+
+    /* read input from complex input buffer */
+    inA7 = pSrcCmplx[6];
+
+    /* multiply complex buffer real input with real buffer input */
+    out5 = inA5 * inB3;
+
+    /* read input from complex input buffer */
+    inA8 = pSrcCmplx[7];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out6 = inA6 * inB3;
+
+    /* read input from real input buffer */
+    inB4 = pSrcReal[3];
+
+    /* store result to destination bufer */
+    pCmplxDst[0] = out1;
+
+    /* multiply complex buffer real input with real buffer input */
+    out7 = inA7 * inB4;
+
+    /* store result to destination bufer */
+    pCmplxDst[1] = out2;
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out8 = inA8 * inB4;
+
+    /* store result to destination bufer */
+    pCmplxDst[2] = out3;
+    pCmplxDst[3] = out4;
+    pCmplxDst[4] = out5;
+
+    /* incremnet complex input buffer by 8 to process next samples */
+    pSrcCmplx += 8u;
+
+    /* store result to destination bufer */
+    pCmplxDst[5] = out6;
+
+    /* increment real input buffer by 4 to process next samples */
+    pSrcReal += 4u;
+
+    /* store result to destination bufer */
+    pCmplxDst[6] = out7;
+    pCmplxDst[7] = out8;
+
+    /* increment destination buffer by 8 to process next sampels */
+    pCmplxDst += 8u;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ = (*pSrcCmplx++) * (in);
+    *pCmplxDst++ = (*pSrcCmplx++) * (in);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+}
+
+/**        
+ * @} end of CmplxByRealMult group        
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..51b2f86
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,203 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_real_q15.c    
+*    
+* Description:	Q15 complex by real multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup CmplxByRealMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Q15 complex-by-real multiplication    
+ * @param[in]  *pSrcCmplx points to the complex input vector    
+ * @param[in]  *pSrcReal points to the real input vector    
+ * @param[out]  *pCmplxDst points to the complex output vector    
+ * @param[in]  numSamples number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+void arm_cmplx_mult_real_q15(
+  q15_t * pSrcCmplx,
+  q15_t * pSrcReal,
+  q15_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  q15_t in;                                      /* Temporary variable to store input value */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t inA1, inA2;                              /* Temporary variables to hold input data */
+  q31_t inB1;                                    /* Temporary variables to hold input data */
+  q15_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
+  q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables to hold intermediate data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read complex number both real and imaginary from complex input buffer */
+    inA1 = *__SIMD32(pSrcCmplx)++;
+    /* read two real values at a time from real input buffer */
+    inB1 = *__SIMD32(pSrcReal)++;
+    /* read complex number both real and imaginary from complex input buffer */
+    inA2 = *__SIMD32(pSrcCmplx)++;
+
+    /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+
+#else
+
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* saturate the result */
+    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
+
+    /* pack real and imaginary outputs and store them to destination */
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
+
+    inA1 = *__SIMD32(pSrcCmplx)++;
+    inB1 = *__SIMD32(pSrcReal)++;
+    inA2 = *__SIMD32(pSrcCmplx)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+
+#else
+
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    out1 = (q15_t) __SSAT(mul1 >> 15u, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15u, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15u, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15u, 16);
+
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* realOut = realA * realB.            */
+    /* imagOut = imagA * realB.                */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+
+    /* Decrement the numSamples loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of CmplxByRealMult group    
+ */
diff --git a/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..73db107
--- /dev/null
+++ b/DSP_Lib/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,223 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cmplx_mult_real_q31.c    
+*    
+* Description:	Q31 complex by real multiplication    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupCmplxMath    
+ */
+
+/**    
+ * @addtogroup CmplxByRealMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Q31 complex-by-real multiplication    
+ * @param[in]  *pSrcCmplx points to the complex input vector    
+ * @param[in]  *pSrcReal points to the real input vector    
+ * @param[out]  *pCmplxDst points to the complex output vector    
+ * @param[in]  numSamples number of samples in each vector    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
+ */
+
+void arm_cmplx_mult_real_q31(
+  q31_t * pSrcCmplx,
+  q31_t * pSrcReal,
+  q31_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  q31_t inA1;                                    /* Temporary variable to store input value */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t inA2, inA3, inA4;                        /* Temporary variables to hold input data */
+  q31_t inB1, inB2;                              /* Temporary variabels to hold input data */
+  q31_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+    inB2 = *pSrcReal++;
+    /* read imaginary input from complex input buffer */
+    inA3 = *pSrcCmplx++;
+    inA4 = *pSrcCmplx++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+    out3 = ((q63_t) inA3 * inB2) >> 32;
+    out4 = ((q63_t) inA4 * inB2) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+    out3 = __SSAT(out3, 31);
+    out4 = __SSAT(out4, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+    out3 = out3 << 1;
+    out4 = out4 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+    *pCmplxDst++ = out3;
+    *pCmplxDst++ = out4;
+
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+    inB2 = *pSrcReal++;
+    /* read imaginary input from complex input buffer */
+    inA3 = *pSrcCmplx++;
+    inA4 = *pSrcCmplx++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+    out3 = ((q63_t) inA3 * inB2) >> 32;
+    out4 = ((q63_t) inA4 * inB2) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+    out3 = __SSAT(out3, 31);
+    out4 = __SSAT(out4, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+    out3 = out3 << 1;
+    out4 = out4 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+    *pCmplxDst++ = out3;
+    *pCmplxDst++ = out4;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(numSamples > 0u)
+  {
+    /* realOut = realA * realB.            */
+    /* imagReal = imagA * realB.               */
+    inA1 = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
+    *pCmplxDst++ =
+      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
+
+    /* Decrement the numSamples loop counter */
+    numSamples--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of CmplxByRealMult group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 0000000..2bc1854
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_f32.c
@@ -0,0 +1,87 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_init_f32.c    
+*    
+* Description:	Floating-point PID Control initialization function    
+*				   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the floating-point PID Control.   
+ * @param[in,out] *S points to an instance of the PID structure.   
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state & 1 = reset the state.   
+ * @return none.   
+ * \par Description:   
+ * \par    
+ * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n   
+ * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>    
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
+ * also sets the state variables to all zeros.    
+ */
+
+void arm_pid_init_f32(
+  arm_pid_instance_f32 * S,
+  int32_t resetStateFlag)
+{
+
+  /* Derived coefficient A0 */
+  S->A0 = S->Kp + S->Ki + S->Kd;
+
+  /* Derived coefficient A1 */
+  S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd);
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if(resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3u * sizeof(float32_t));
+  }
+
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 0000000..c163901
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q15.c
@@ -0,0 +1,122 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_init_q15.c    
+*    
+* Description:	Q15 PID Control initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+ * @details    
+ * @param[in,out] *S points to an instance of the Q15 PID structure.    
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.    
+ * @return none.    
+ * \par Description:   
+ * \par    
+ * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n   
+ * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>    
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
+ * also sets the state variables to all zeros.    
+ */
+
+void arm_pid_init_q15(
+  arm_pid_instance_q15 * S,
+  int32_t resetStateFlag)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficients and pack into A1 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+  S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
+
+#else
+
+  S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+  /* Check whether state needs reset or not */
+  if(resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3u * sizeof(q15_t));
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t temp;                                    /*to store the sum */
+
+  /* Derived coefficient A0 */
+  temp = S->Kp + S->Ki + S->Kd;
+  S->A0 = (q15_t) __SSAT(temp, 16);
+
+  /* Derived coefficients and pack into A1 */
+  temp = -(S->Kd + S->Kd + S->Kp);
+  S->A1 = (q15_t) __SSAT(temp, 16);
+  S->A2 = S->Kd;
+
+
+
+  /* Check whether state needs reset or not */
+  if(resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3u * sizeof(q15_t));
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 0000000..012e873
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_init_q31.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_init_q31.c    
+*    
+* Description:	Q31 PID Control initialization function     
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the Q31 PID Control.   
+ * @param[in,out] *S points to an instance of the Q31 PID structure.   
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.   
+ * @return none.    
+ * \par Description:   
+ * \par    
+ * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n   
+ * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>    
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)    
+ * also sets the state variables to all zeros.    
+ */
+
+void arm_pid_init_q31(
+  arm_pid_instance_q31 * S,
+  int32_t resetStateFlag)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficient A1 */
+  S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t temp;
+
+  /* Derived coefficient A0 */
+  temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
+  S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
+
+  /* Derived coefficient A1 */
+  temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
+  S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if(resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3u * sizeof(q31_t));
+  }
+
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 0000000..081cf0c
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_f32.c
@@ -0,0 +1,65 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_reset_f32.c    
+*    
+* Description:	Floating-point PID Control reset function   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+* @brief  Reset function for the floating-point PID Control.   
+* @param[in] *S	Instance pointer of PID control data structure.   
+* @return none.    
+* \par Description:   
+* The function resets the state buffer to zeros.    
+*/
+void arm_pid_reset_f32(
+  arm_pid_instance_f32 * S)
+{
+
+  /* Clear the state buffer.  The size will be always 3 samples */
+  memset(S->state, 0, 3u * sizeof(float32_t));
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 0000000..4dfe419
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q15.c
@@ -0,0 +1,64 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_reset_q15.c    
+*    
+* Description:	Q15 PID Control reset function   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+* @brief  Reset function for the Q15 PID Control.   
+* @param[in] *S		Instance pointer of PID control data structure.   
+* @return none.    
+* \par Description:   
+* The function resets the state buffer to zeros.    
+*/
+void arm_pid_reset_q15(
+  arm_pid_instance_q15 * S)
+{
+  /* Reset state to zero, The size will be always 3 samples */
+  memset(S->state, 0, 3u * sizeof(q15_t));
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 0000000..540a54a
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_pid_reset_q31.c
@@ -0,0 +1,65 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_pid_reset_q31.c    
+*    
+* Description:	Q31 PID Control reset function   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+ /**    
+ * @addtogroup PID    
+ * @{    
+ */
+
+/**    
+* @brief  Reset function for the Q31 PID Control.   
+* @param[in] *S	Instance pointer of PID control data structure.   
+* @return none.    
+* \par Description:   
+* The function resets the state buffer to zeros.    
+*/
+void arm_pid_reset_q31(
+  arm_pid_instance_q31 * S)
+{
+
+  /* Clear the state buffer.  The size will be always 3 samples */
+  memset(S->state, 0, 3u * sizeof(q31_t));
+}
+
+/**    
+ * @} end of PID group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c b/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 0000000..37d63a8
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_f32.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sin_cos_f32.c    
+*    
+* Description:	Sine and Cosine calculation for floating-point values.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupController    
+ */
+
+/**    
+ * @defgroup SinCos Sine Cosine   
+ *    
+ * Computes the trigonometric sine and cosine values using a combination of table lookup   
+ * and linear interpolation.     
+ * There are separate functions for Q31 and floating-point data types.   
+ * The input to the floating-point version is in degrees while the   
+ * fixed-point Q31 have a scaled input with the range   
+ * [-1 0.9999] mapping to [-180 +180] degrees.   
+ *
+ * The floating point function also allows values that are out of the usual range. When this happens, the function will
+ * take extra time to adjust the input value to the range of [-180 180].
+ *   
+ * The implementation is based on table lookup using 360 values together with linear interpolation.   
+ * The steps used are:   
+ *  -# Calculation of the nearest integer table index.   
+ *  -# Compute the fractional portion (fract) of the input.   
+ *  -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.      
+ *  -# Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.    
+ *  -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.      
+ *  -# Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>.    
+ */
+
+ /**    
+ * @addtogroup SinCos    
+ * @{    
+ */
+
+/**    
+ * @brief  Floating-point sin_cos function.   
+ * @param[in]  theta    input value in degrees    
+ * @param[out] *pSinVal points to the processed sine output.    
+ * @param[out] *pCosVal points to the processed cos output.    
+ * @return none.   
+ */
+
+void arm_sin_cos_f32(
+  float32_t theta,
+  float32_t * pSinVal,
+  float32_t * pCosVal)
+{
+  float32_t fract, in;                             /* Temporary variables for input, output */
+  uint16_t indexS, indexC;                         /* Index variable */
+  float32_t f1, f2, d1, d2;                        /* Two nearest output values */
+  int32_t n;
+  float32_t findex, Dn, Df, temp;
+
+  /* input x is in degrees */
+  /* Scale the input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+  in = theta * 0.00277777777778f;
+
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
+
+  /* Make negative values towards -infinity */
+  if(in < 0.0f)
+  {
+    n--;
+  }
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
+
+  /* Calculation of index of the table */
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  indexS = ((uint16_t)findex) & 0x1ff;
+  indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+  /* fractional value calculation */
+  fract = findex - (float32_t) indexS;
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_f32[indexC+0];
+  f2 = sinTable_f32[indexC+1];
+  d1 = -sinTable_f32[indexS+0];
+  d2 = -sinTable_f32[indexS+1];
+
+  Dn = 0.0122718463030f; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*(d1 + d2) - 2*Df;
+  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+  temp = fract*temp + d1*Dn;
+
+  /* Calculation of cosine value */
+  *pCosVal = fract*temp + f1;
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_f32[indexS+0];
+  f2 = sinTable_f32[indexS+1];
+  d1 = sinTable_f32[indexC+0];
+  d2 = sinTable_f32[indexC+1];
+
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*(d1 + d2) - 2*Df;
+  temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+  temp = fract*temp + d1*Dn;
+  
+  /* Calculation of sine value */
+  *pSinVal = fract*temp + f1;
+}
+/**    
+ * @} end of SinCos group    
+ */
diff --git a/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c b/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 0000000..5e11b0f
--- /dev/null
+++ b/DSP_Lib/Source/ControllerFunctions/arm_sin_cos_q31.c
@@ -0,0 +1,122 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sin_cos_q31.c    
+*    
+* Description:	Cosine & Sine calculation for Q31 values.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupController    
+ */
+
+ /**    
+ * @addtogroup SinCos    
+ * @{    
+ */
+
+/**    
+ * @brief  Q31 sin_cos function.   
+ * @param[in]  theta    scaled input value in degrees    
+ * @param[out] *pSinVal points to the processed sine output.    
+ * @param[out] *pCosVal points to the processed cosine output.    
+ * @return none.   
+ *    
+ * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].   
+ *    
+ */
+
+void arm_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal)
+{
+  q31_t fract;                                 /* Temporary variables for input, output */
+  uint16_t indexS, indexC;                     /* Index variable */
+  q31_t f1, f2, d1, d2;                        /* Two nearest output values */
+  q31_t Dn, Df;
+  q63_t temp;
+  
+  /* Calculate the nearest index */
+  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+  indexC = (indexS + 128) & 0x1ff;
+
+  /* Calculation of fractional value */
+  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexC+0];
+  f2 = sinTable_q31[indexC+1];
+  d1 = -sinTable_q31[indexS+0];
+  d2 = -sinTable_q31[indexS+1];
+
+  Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
+
+  /* Calculation of cosine value */
+  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+  
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexS+0];
+  f2 = sinTable_q31[indexS+1];
+  d1 = sinTable_q31[indexC+0];
+  d2 = sinTable_q31[indexC+1];
+
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
+  
+  /* Calculation of sine value */
+  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**    
+ * @} end of SinCos group    
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
new file mode 100644
index 0000000..890f37a
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_f32.c
@@ -0,0 +1,127 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        21. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_f32.c
+*
+* Description:  Fast cosine calculation for floating-point values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+/**
+ * @ingroup groupFastMath
+ */
+
+/**
+ * @defgroup cos Cosine
+ *
+ * Computes the trigonometric cosine function using a combination of table lookup
+ * and linear interpolation.  There are separate functions for
+ * Q15, Q31, and floating-point data types.
+ * The input to the floating-point version is in radians while the
+ * fixed-point Q15 and Q31 have a scaled input with the range
+ * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+ * value of 2*pi wraps around to 0.
+ *
+ * The implementation is based on table lookup using 256 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index
+ *  -# Compute the fractional portion (fract) of the table index.
+ *  -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+ *
+ * where
+ * <pre>
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * </pre>
+ */
+
+ /**
+ * @addtogroup cos
+ * @{
+ */
+
+/**
+ * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return cos(x).
+ */
+
+float32_t arm_cos_f32(
+  float32_t x)
+{
+  float32_t cosVal, fract, in;                   /* Temporary variables for input, output */
+  uint16_t index;                                /* Index variable */
+  float32_t a, b;                                /* Two nearest output values */
+  int32_t n;
+  float32_t findex;
+
+  /* input x is in radians */
+  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */
+  in = x * 0.159154943092f + 0.25f;
+
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
+
+  /* Make negative values towards -infinity */
+  if(in < 0.0f)
+  {
+    n--;
+  }
+
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
+
+  /* Calculation of index of the table */
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  index = ((uint16_t)findex) & 0x1ff;
+
+  /* fractional value calculation */
+  fract = findex - (float32_t) index;
+
+  /* Read two nearest values of input value from the cos table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (1.0f-fract)*a + fract*b;
+
+  /* Return the output value */
+  return (cosVal);
+}
+
+/**
+ * @} end of cos group
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
new file mode 100644
index 0000000..cb69268
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_q15.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        07. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_q15.c
+*
+* Description:  Fast cosine calculation for Q15 values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ * @ingroup groupFastMath
+ */
+
+ /**
+ * @addtogroup cos
+ * @{
+ */
+
+/**
+ * @brief Fast approximation to the trigonometric cosine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return  cos(x).
+ *
+ * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian
+ * value in the range [0 2*pi).
+ */
+
+q15_t arm_cos_q15(
+  q15_t x)
+{
+  q15_t cosVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q15_t a, b;                                    /* Four nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
+
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint16_t)x + 0x2000;
+  if(x < 0)
+  {   /* convert negative numbers to corresponding positive ones */
+      x = (uint16_t)x + 0x8000;
+  }
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (q31_t)(0x8000-fract)*a >> 16;
+  cosVal = (q15_t)((((q31_t)cosVal << 16) + ((q31_t)fract*b)) >> 16);
+
+  return cosVal << 1;
+}
+
+/**
+ * @} end of cos group
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
new file mode 100644
index 0000000..72c51e6
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_cos_q31.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        07. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_cos_q31.c
+*
+* Description: Fast cosine calculation for Q31 values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ * @ingroup groupFastMath
+ */
+
+ /**
+ * @addtogroup cos
+ * @{
+ */
+
+/**
+ * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return  cos(x).
+ *
+ * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
+ * value in the range [0 2*pi).
+ */
+
+q31_t arm_cos_q31(
+  q31_t x)
+{
+  q31_t cosVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q31_t a, b;                                    /* Four nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
+
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint32_t)x + 0x20000000;
+  if(x < 0)
+  {   /* convert negative numbers to corresponding positive ones */
+      x = (uint32_t)x + 0x80000000;
+  }
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (q63_t)(0x80000000-fract)*a >> 32;
+  cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);
+
+  return cosVal << 1;
+}
+
+/**
+ * @} end of cos group
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
new file mode 100644
index 0000000..8655cf9
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c
@@ -0,0 +1,133 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        21. September 2015
+* $Revision:    V.1.4.5 a
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_sin_f32.c
+*
+* Description:  Fast sine calculation for floating-point values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include <math.h>
+
+/**
+ * @ingroup groupFastMath
+ */
+
+/**
+ * @defgroup sin Sine
+ *
+ * Computes the trigonometric sine function using a combination of table lookup
+ * and linear interpolation.  There are separate functions for
+ * Q15, Q31, and floating-point data types.
+ * The input to the floating-point version is in radians while the
+ * fixed-point Q15 and Q31 have a scaled input with the range
+ * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+ * value of 2*pi wraps around to 0.
+ *
+ * The implementation is based on table lookup using 256 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index
+ *  -# Compute the fractional portion (fract) of the table index.
+ *  -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+ *
+ * where
+ * <pre>
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * </pre>
+ */
+
+/**
+ * @addtogroup sin
+ * @{
+ */
+
+/**
+ * @brief  Fast approximation to the trigonometric sine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return  sin(x).
+ */
+
+float32_t arm_sin_f32(
+  float32_t x)
+{
+  float32_t sinVal, fract, in;                           /* Temporary variables for input, output */
+  uint16_t index;                                        /* Index variable */
+  float32_t a, b;                                        /* Two nearest output values */
+  int32_t n;
+  float32_t findex;
+
+  /* input x is in radians */
+  /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
+  in = x * 0.159154943092f;
+
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
+
+  /* Make negative values towards -infinity */
+  if(x < 0.0f)
+  {
+    n--;
+  }
+
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
+
+  /* Calculation of index of the table */
+  findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+  if (findex >= 512.0f) {
+    findex -= 512.0f;
+  }
+
+  index = ((uint16_t)findex) & 0x1ff;
+
+  /* fractional value calculation */
+  fract = findex - (float32_t) index;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (1.0f-fract)*a + fract*b;
+
+  /* Return the output value */
+  return (sinVal);
+}
+
+/**
+ * @} end of sin group
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
new file mode 100644
index 0000000..e2209b3
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_q15.c
@@ -0,0 +1,88 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sin_q15.c    
+*    
+* Description:	Fast sine calculation for Q15 values.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupFastMath    
+ */
+
+ /**    
+ * @addtogroup sin    
+ * @{    
+ */
+
+/**   
+ * @brief Fast approximation to the trigonometric sine function for Q15 data.   
+ * @param[in] x Scaled input value in radians.   
+ * @return  sin(x).   
+ *   
+ * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi).
+ */
+
+q15_t arm_sin_q15(
+  q15_t x)
+{
+  q15_t sinVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q15_t a, b;                                    /* Four nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (q31_t)(0x8000-fract)*a >> 16;
+  sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
+
+  return sinVal << 1;
+}
+
+/**    
+ * @} end of sin group    
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
new file mode 100644
index 0000000..606ab66
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_sin_q31.c
@@ -0,0 +1,87 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_sin_q31.c    
+*    
+* Description:	Fast sine calculation for Q31 values.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupFastMath    
+ */
+
+ /**    
+ * @addtogroup sin    
+ * @{    
+ */
+
+/**   
+ * @brief Fast approximation to the trigonometric sine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return  sin(x).
+ *
+ * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */
+
+q31_t arm_sin_q31(
+  q31_t x)
+{
+  q31_t sinVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variables */
+  q31_t a, b;                                    /* Four nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (q63_t)(0x80000000-fract)*a >> 32;
+  sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32);
+
+  return sinVal << 1;
+}
+
+/**    
+ * @} end of sin group    
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
new file mode 100644
index 0000000..3085dec
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q15.c
@@ -0,0 +1,155 @@
+/* ----------------------------------------------------------------------     
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
+*     
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*     
+* Project:      CMSIS DSP Library  
+* Title:		arm_sqrt_q15.c     
+*     
+* Description:	Q15 square root function.    
+*     
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+
+/**     
+ * @ingroup groupFastMath     
+ */
+
+/**     
+ * @addtogroup SQRT     
+ * @{     
+ */
+
+  /**    
+   * @brief  Q15 square root function.    
+   * @param[in]   in     input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.    
+   * @param[out]  *pOut  square root of input value.    
+   * @return The function returns ARM_MATH_SUCCESS if the input value is positive
+   * and ARM_MATH_ARGUMENT_ERROR if the input is negative.  For
+   * negative inputs, the function returns *pOut = 0.
+   */
+
+arm_status arm_sqrt_q15(
+  q15_t in,
+  q15_t * pOut)
+{
+  q15_t number, temp1, var1, signBits1, half;
+  q31_t bits_val1;
+  float32_t temp_float1;
+  union
+  {
+    q31_t fracval;
+    float32_t floatval;
+  } tempconv;
+
+  number = in;
+
+  /* If the input is a positive number then compute the signBits. */
+  if(number > 0)
+  {
+    signBits1 = __CLZ(number) - 17;
+
+    /* Shift by the number of signBits1 */
+    if((signBits1 % 2) == 0)
+    {
+      number = number << signBits1;
+    }
+    else
+    {
+      number = number << (signBits1 - 1);
+    }
+
+    /* Calculate half value of the number */
+    half = number >> 1;
+    /* Store the number for later use */
+    temp1 = number;
+
+    /* Convert to float */
+    temp_float1 = number * 3.051757812500000e-005f;
+    /*Store as integer */
+    tempconv.floatval = temp_float1;
+    bits_val1 = tempconv.fracval;
+    /* Subtract the shifted value from the magic number to give intial guess */
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
+    /* Store as float */
+    tempconv.fracval = bits_val1;
+    temp_float1 = tempconv.floatval;
+    /* Convert to integer format */
+    var1 = (q31_t) (temp_float1 * 16384);
+
+    /* 1st iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+    /* 2nd iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+    /* 3rd iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+
+    /* Multiply the inverse square root with the original value */
+    var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1;
+
+    /* Shift the output down accordingly */
+    if((signBits1 % 2) == 0)
+    {
+      var1 = var1 >> (signBits1 / 2);
+    }
+    else
+    {
+      var1 = var1 >> ((signBits1 - 1) / 2);
+    }
+    *pOut = var1;
+
+    return (ARM_MATH_SUCCESS);
+  }
+  /* If the number is a negative number then store zero as its square root value */
+  else
+  {
+    *pOut = 0;
+    return (ARM_MATH_ARGUMENT_ERROR);
+  }
+}
+
+/**     
+ * @} end of SQRT group     
+ */
diff --git a/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
new file mode 100644
index 0000000..a9a0bf4
--- /dev/null
+++ b/DSP_Lib/Source/FastMathFunctions/arm_sqrt_q31.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------     
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
+*     
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*     
+* Project:      CMSIS DSP Library  
+* Title:		arm_sqrt_q31.c     
+*     
+* Description:	Q31 square root function.    
+*     
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**     
+ * @ingroup groupFastMath     
+ */
+
+/**     
+ * @addtogroup SQRT     
+ * @{     
+ */
+
+/**    
+ * @brief Q31 square root function.    
+ * @param[in]   in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.    
+ * @param[out]  *pOut square root of input value.    
+ * @return The function returns ARM_MATH_SUCCESS if the input value is positive
+ * and ARM_MATH_ARGUMENT_ERROR if the input is negative.  For
+ * negative inputs, the function returns *pOut = 0.
+ */
+
+arm_status arm_sqrt_q31(
+  q31_t in,
+  q31_t * pOut)
+{
+  q31_t number, temp1, bits_val1, var1, signBits1, half;
+  float32_t temp_float1;
+  union
+  {
+      q31_t fracval;
+      float32_t floatval;
+  } tempconv;
+
+  number = in;
+
+  /* If the input is a positive number then compute the signBits. */
+  if(number > 0)
+  {
+    signBits1 = __CLZ(number) - 1;
+
+    /* Shift by the number of signBits1 */
+    if((signBits1 % 2) == 0)
+    {
+      number = number << signBits1;
+    }
+    else
+    {
+      number = number << (signBits1 - 1);
+    }
+
+    /* Calculate half value of the number */
+    half = number >> 1;
+    /* Store the number for later use */
+    temp1 = number;
+
+    /*Convert to float */
+    temp_float1 = number * 4.6566128731e-010f;
+    /*Store as integer */
+    tempconv.floatval = temp_float1;
+    bits_val1 = tempconv.fracval;
+    /* Subtract the shifted value from the magic number to give intial guess */
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
+    /* Store as float */
+    tempconv.fracval = bits_val1;
+    temp_float1 = tempconv.floatval;
+    /* Convert to integer format */
+    var1 = (q31_t) (temp_float1 * 1073741824);
+
+    /* 1st iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+    /* 2nd iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+    /* 3rd iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+
+    /* Multiply the inverse square root with the original value */
+    var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1;
+
+    /* Shift the output down accordingly */
+    if((signBits1 % 2) == 0)
+    {
+      var1 = var1 >> (signBits1 / 2);
+    }
+    else
+    {
+      var1 = var1 >> ((signBits1 - 1) / 2);
+    }
+    *pOut = var1;
+
+    return (ARM_MATH_SUCCESS);
+  }
+  /* If the number is a negative number then store zero as its square root value */
+  else
+  {
+    *pOut = 0;
+    return (ARM_MATH_ARGUMENT_ERROR);
+  }
+}
+
+/**     
+ * @} end of SQRT group     
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
new file mode 100644
index 0000000..9f4ab2f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_32x64_init_q31.c    
+*    
+* Description:	High precision Q31 Biquad cascade filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1_32x64    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in,out] *S           	points to an instance of the high precision Q31 Biquad cascade filter structure.    
+ * @param[in]     numStages     number of 2nd order stages in the filter.    
+ * @param[in]     *pCoeffs      points to the filter coefficients.    
+ * @param[in]     *pState       points to the state buffer.    
+ * @param[in]     postShift     Shift to be applied after the accumulator.  Varies according to the coefficients format.    
+ * @return        none    
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ *    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> points to state variables array and size of each state variable is 1.63 format.    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.    
+ * The state variables are arranged in the state array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cas_df1_32x64_init_q31(
+  arm_biquad_cas_df1_32x64_ins_q31 * S,
+  uint8_t numStages,
+  q31_t * pCoeffs,
+  q63_t * pState,
+  uint8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q63_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF1_32x64 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
new file mode 100644
index 0000000..a44d10d
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
@@ -0,0 +1,561 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_32x64_q31.c    
+*    
+* Description:	High precision Q31 Biquad cascade filter processing function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter    
+ *    
+ * This function implements a high precision Biquad cascade filter which operates on    
+ * Q31 data values.  The filter coefficients are in 1.31 format and the state variables    
+ * are in 1.63 format.  The double precision state variables reduce quantization noise    
+ * in the filter and provide a cleaner output.    
+ * These filters are particularly useful when implementing filters in which the    
+ * singularities are close to the unit circle.  This is common for low pass or high    
+ * pass filters with very low cutoff frequencies.    
+ *    
+ * The function operates on blocks of input and output data    
+ * and each call to the function processes <code>blockSize</code> samples through    
+ * the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays    
+ * containing <code>blockSize</code> Q31 values.    
+ *    
+ * \par Algorithm    
+ * Each Biquad stage implements a second order filter using the difference equation:    
+ * <pre>    
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+ * </pre>    
+ * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
+ * \image html Biquad.gif "Single Biquad filter stage"    
+ * Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.    
+ * Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.    
+ * Pay careful attention to the sign of the feedback coefficients.    
+ * Some design tools use the difference equation    
+ * <pre>    
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
+ * </pre>    
+ * In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.    
+ *    
+ * \par    
+ * Higher order filters are realized as a cascade of second order sections.    
+ * <code>numStages</code> refers to the number of second order stages used.    
+ * For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.    
+ * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
+ * A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).    
+ *    
+ * \par    
+ * The <code>pState</code> points to state variables array .    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code> and each state variable in 1.63 format to improve precision.    
+ * The state variables are arranged in the array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ *    
+ * \par    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values of data in 1.63 format.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ *    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
+ *    
+ * \par Init Function    
+ * There is also an associated initialization function which performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero. 
+ *
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros before static initialization.    
+ * For example, to statically initialize the filter instance structure use    
+ * <pre>    
+ *     arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};    
+ * </pre>    
+ * where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer;    
+ * <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied which is described in detail below.    
+ * \par Fixed-Point Behavior    
+ * Care must be taken while using Biquad Cascade 32x64 filter function.    
+ * Following issues must be considered:    
+ * - Scaling of coefficients    
+ * - Filter gain    
+ * - Overflow and saturation    
+ *    
+ * \par    
+ * Filter coefficients are represented as fractional values and    
+ * restricted to lie in the range <code>[-1 +1)</code>.    
+ * The processing function has an additional scaling parameter <code>postShift</code>    
+ * which allows the filter coefficients to exceed the range <code>[+1 -1)</code>.    
+ * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.    
+ * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
+ * This essentially scales the filter coefficients by <code>2^postShift</code>.    
+ * For example, to realize the coefficients    
+ * <pre>    
+ *    {1.5, -0.8, 1.2, 1.6, -0.9}    
+ * </pre>    
+ * set the Coefficient array to:    
+ * <pre>    
+ *    {0.75, -0.4, 0.6, 0.8, -0.45}    
+ * </pre>    
+ * and set <code>postShift=1</code>    
+ *    
+ * \par    
+ * The second thing to keep in mind is the gain through the filter.    
+ * The frequency response of a Biquad filter is a function of its coefficients.    
+ * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
+ * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
+ * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
+ *    
+ * \par    
+ * The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.    
+ * This is described in the function specific documentation below.    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1_32x64    
+ * @{    
+ */
+
+/**    
+ * @details    
+    
+ * @param[in]  *S points to an instance of the high precision Q31 Biquad cascade filter.    
+ * @param[in]  *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in]  blockSize number of samples to process.    
+ * @return none.    
+ *    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
+ * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to    
+ * 1.31 format by discarding the low 32 bits.    
+ *    
+ * \par    
+ * Two related functions are provided in the CMSIS DSP library.    
+ * <code>arm_biquad_cascade_df1_q31()</code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.    
+ * <code>arm_biquad_cascade_df1_fast_q31()</code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.    
+ */
+
+void arm_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
+  q31_t *pOut = pDst;                            /*  output pointer initialization */
+  q63_t *pState = S->pState;                     /*  state pointer initialization  */
+  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
+  q63_t acc;                                     /*  accumulator                   */
+  q31_t Xn1, Xn2;                                /*  Input Filter state variables        */
+  q63_t Yn1, Yn2;                                /*  Output Filter state variables        */
+  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+  q31_t Xn;                                      /*  temporary input               */
+  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
+  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
+  q31_t acc_l, acc_h;                            /*  temporary output               */
+  uint32_t uShift = ((uint32_t) S->postShift + 1u);
+  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = (q31_t) (pState[0]);
+    Xn2 = (q31_t) (pState[1]);
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /* The variable acc hold output value that is being computed and    
+     * stored in the destination buffer    
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+     */
+
+    sample = blockSize >> 2u;
+
+    /* First part of the processing with loop unrolling. Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn *b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 *b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 *b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* The result is converted to 1.63 , Yn2 variable is reused */
+      Yn2 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut = acc_h;
+
+      /* Read the second input into Xn2, to reuse the value */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc +=  b1 * x[n-1] */
+      acc = (q63_t) Xn *b1;
+
+      /* acc =  b0 * x[n] */
+      acc += (q63_t) Xn2 *b0;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn1 *b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn2, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn1, a2);
+
+      /* The result is converted to 1.63, Yn1 variable is reused */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Read the third input into Xn1, to reuse the value */
+      Xn1 = *pIn++;
+
+      /* The result is converted to 1.31 */
+      /* Store the output in the destination buffer. */
+      *(pOut + 1u) = acc_h;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn1 *b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn2 *b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn *b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* The result is converted to 1.63, Yn2 variable is reused  */
+      Yn2 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *(pOut + 2u) = acc_h;
+
+      /* Read the fourth input into Xn, to reuse the value */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn *b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 *b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 *b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn2, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn1, a2);
+
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *(pOut + 3u) = acc_h;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* update output pointer */
+      pOut += 4u;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    sample = (blockSize & 0x3u);
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn *b0;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 *b1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 *b2;
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut++ = acc_h;
+      /* Yn1 = acc << shift; */
+
+      /* Store the output in the destination buffer in 1.31 format. */
+/*      *pOut++ = (q31_t) (acc >> (32 - shift));  */
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage output is given as input to the second stage. */
+    pIn = pDst;
+
+    /* Reset to destination buffer working pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = (q63_t) Xn1;
+    *pState++ = (q63_t) Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* The variable acc hold output value that is being computed and        
+     * stored in the destination buffer            
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]            
+     */
+
+    sample = blockSize;
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn *b0;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 *b1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 *b2;
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut++ = acc_h;
+
+      /* Yn1 = acc << shift; */
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      /* *pOut++ = (q31_t) (acc >> (32 - shift)); */
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage output is given as input to the second stage. */
+    pIn = pDst;
+
+    /* Reset to destination buffer working pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = (q63_t) Xn1;
+    *pState++ = (q63_t) Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+
+#endif /*    #ifndef ARM_MATH_CM0_FAMILY     */
+}
+
+  /**    
+   * @} end of BiquadCascadeDF1_32x64 group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
new file mode 100644
index 0000000..83e9f76
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
@@ -0,0 +1,425 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_f32.c    
+*    
+* Description:	Processing function for the    
+*               floating-point Biquad cascade DirectFormI(DF1) filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure    
+ *    
+ * This set of functions implements arbitrary order recursive (IIR) filters.    
+ * The filters are implemented as a cascade of second order Biquad sections.    
+ * The functions support Q15, Q31 and floating-point data types.  
+ * Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3.    
+ *    
+ * The functions operate on blocks of input and output data and each call to the function    
+ * processes <code>blockSize</code> samples through the filter.    
+ * <code>pSrc</code> points to the array of input data and    
+ * <code>pDst</code> points to the array of output data.    
+ * Both arrays contain <code>blockSize</code> values.    
+ *    
+ * \par Algorithm    
+ * Each Biquad stage implements a second order filter using the difference equation:    
+ * <pre>    
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+ * </pre>    
+ * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.    
+ * \image html Biquad.gif "Single Biquad filter stage"    
+ * Coefficients <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.    
+ * Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.    
+ * Pay careful attention to the sign of the feedback coefficients.    
+ * Some design tools use the difference equation    
+ * <pre>    
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
+ * </pre>    
+ * In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.    
+ *    
+ * \par    
+ * Higher order filters are realized as a cascade of second order sections.    
+ * <code>numStages</code> refers to the number of second order stages used.    
+ * For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.    
+ * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"    
+ * A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).    
+ *    
+ * \par    
+ * The <code>pState</code> points to state variables array.    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.    
+ * The state variables are arranged in the <code>pState</code> array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ *    
+ * \par    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values.    
+ * The state variables are updated after each block of data is processed, the coefficients are untouched.    
+ *    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Init Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros before static initialization.    
+ * The code below statically initializes each of the 3 different data type filter instance structures    
+ * <pre>    
+ *     arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};    
+ *     arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};    
+ *     arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};    
+ * </pre>    
+ * where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer;    
+ * <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied.    
+ *    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.    
+ * Following issues must be considered:    
+ * - Scaling of coefficients    
+ * - Filter gain    
+ * - Overflow and saturation    
+ *    
+ * \par    
+ * <b>Scaling of coefficients: </b>    
+ * Filter coefficients are represented as fractional values and    
+ * coefficients are restricted to lie in the range <code>[-1 +1)</code>.    
+ * The fixed-point functions have an additional scaling parameter <code>postShift</code>    
+ * which allow the filter coefficients to exceed the range <code>[+1 -1)</code>.    
+ * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.    
+ * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"    
+ * This essentially scales the filter coefficients by <code>2^postShift</code>.    
+ * For example, to realize the coefficients    
+ * <pre>    
+ *    {1.5, -0.8, 1.2, 1.6, -0.9}    
+ * </pre>    
+ * set the pCoeffs array to:    
+ * <pre>    
+ *    {0.75, -0.4, 0.6, 0.8, -0.45}    
+ * </pre>    
+ * and set <code>postShift=1</code>    
+ *    
+ * \par    
+ * <b>Filter gain: </b>    
+ * The frequency response of a Biquad filter is a function of its coefficients.    
+ * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.    
+ * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.    
+ * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.    
+ *    
+ * \par    
+ * <b>Overflow and saturation: </b>    
+ * For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @param[in]  *S         points to an instance of the floating-point Biquad cascade structure.    
+ * @param[in]  *pSrc      points to the block of input data.    
+ * @param[out] *pDst      points to the block of output data.    
+ * @param[in]  blockSize  number of samples to process per call.    
+ * @return     none.    
+ *    
+ */
+
+void arm_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pIn = pSrc;                         /*  source pointer            */
+  float32_t *pOut = pDst;                        /*  destination pointer       */
+  float32_t *pState = S->pState;                 /*  pState pointer            */
+  float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+  float32_t acc;                                 /*  Simulates the accumulator */
+  float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+  float32_t Xn1, Xn2, Yn1, Yn2;                  /*  Filter pState variables   */
+  float32_t Xn;                                  /*  temporary input           */
+  uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:    
+     *    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]    
+     */
+
+    sample = blockSize >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(sample > 0u)
+    {
+      /* Read the first input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+
+      /* Read the second input */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+
+      /* Read the third input */
+      Xn1 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+
+      /* Read the forth input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* decrement the loop counter */
+      sample--;
+
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    sample = blockSize & 0x3u;
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:    */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* decrement the loop counter */
+      sample--;
+
+    }
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent numStages  occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* decrement the loop counter */
+    stage--;
+
+  } while(stage > 0u);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /*      The variables acc holds the output value that is computed:        
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]        
+     */
+
+    sample = blockSize;
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:    */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent numStages  occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* decrement the loop counter */
+    stage--;
+
+  } while(stage > 0u);
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY         */
+
+}
+
+
+  /**    
+   * @} end of BiquadCascadeDF1 group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
new file mode 100644
index 0000000..a637b03
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
@@ -0,0 +1,286 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_fast_q15.c    
+*    
+* Description:	Fast processing function for the    
+*				Q15 Biquad cascade filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @details    
+ * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
+ * @param[in]  *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in]  blockSize number of samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * This fast version uses a 32-bit accumulator with 2.30 format.    
+ * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around and distorts the result.    
+ * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).    
+ * The 2.30 accumulator is then shifted by <code>postShift</code> bits and the result truncated to 1.15 format by discarding the low 16 bits.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_biquad_cascade_df1_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_biquad_cascade_df1_init_q15()</code> to initialize the filter structure.    
+ *    
+ */
+
+void arm_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pIn = pSrc;                             /*  Source pointer                               */
+  q15_t *pOut = pDst;                            /*  Destination pointer                          */
+  q31_t in;                                      /*  Temporary variable to hold input value       */
+  q31_t out;                                     /*  Temporary variable to hold output value      */
+  q31_t b0;                                      /*  Temporary variable to hold bo value          */
+  q31_t b1, a1;                                  /*  Filter coefficients                          */
+  q31_t state_in, state_out;                     /*  Filter state variables                       */
+  q31_t acc;                                     /*  Accumulator                                  */
+  int32_t shift = (int32_t) (15 - S->postShift); /*  Post shift                                   */
+  q15_t *pState = S->pState;                     /*  State pointer                                */
+  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
+  uint32_t sample, stage = S->numStages;         /*  Stage loop counter                           */
+
+
+
+  do
+  {
+
+    /* Read the b0 and 0 coefficients using SIMD  */
+    b0 = *__SIMD32(pCoeffs)++;
+
+    /* Read the b1 and b2 coefficients using SIMD */
+    b1 = *__SIMD32(pCoeffs)++;
+
+    /* Read the a1 and a2 coefficients using SIMD */
+    a1 = *__SIMD32(pCoeffs)++;
+
+    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
+    state_in = *__SIMD32(pState)++;
+
+    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
+    state_out = *__SIMD32(pState)--;
+
+    /* Apply loop unrolling and compute 2 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:       
+     *    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
+     */
+    sample = blockSize >> 1u;
+
+    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
+     ** a second loop below computes the remaining 1 sample. */
+    while(sample > 0u)
+    {
+
+      /* Read the input */
+      in = *__SIMD32(pIn)++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUAD(b0, in);
+      /* acc =  b1 * x[n-1] + acc +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+      state_out = __PKHBT(state_out >> 16, (out), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUADX(b0, in);
+      /* acc0 =  b1 * x[n-1] , acc0 +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+
+      /* Store the output in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
+
+#else
+
+      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in >> 16, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+
+      /* Decrement the loop counter */
+      sample--;
+
+    }
+
+    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+
+    if((blockSize & 0x1u) != 0u)
+    {
+      /* Read the input */
+      in = *pIn++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      out = __SMUAD(b0, in);
+
+#else
+
+      out = __SMUADX(b0, in);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* acc =  b1 * x[n-1], acc +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) out;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+
+#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer.  */
+    /*  Subsequent (numStages - 1) occur in-place in the output buffer  */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the state array */
+    *__SIMD32(pState)++ = state_in;
+    *__SIMD32(pState)++ = state_out;
+
+
+    /* Decrement the loop counter */
+    stage--;
+
+  } while(stage > 0u);
+}
+
+
+/**    
+ * @} end of BiquadCascadeDF1 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
new file mode 100644
index 0000000..b135b2e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
@@ -0,0 +1,305 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_fast_q31.c    
+*    
+* Description:	Processing function for the    
+*				Q31 Fast Biquad cascade DirectFormI(DF1) filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in]  *S        points to an instance of the Q31 Biquad cascade structure.    
+ * @param[in]  *pSrc     points to the block of input data.    
+ * @param[out] *pDst     points to the block of output data.    
+ * @param[in]  blockSize number of samples to process per call.    
+ * @return 	   none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
+ * These intermediate results are added to a 2.30 accumulator.    
+ * Finally, the accumulator is saturated and converted to a 1.31 result.    
+ * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function    
+ * arm_biquad_cascade_df1_init_q31() to initialize filter structure.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_biquad_cascade_df1_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_biquad_cascade_df1_init_q31()</code> to initialize the filter structure.    
+ */
+
+void arm_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t acc = 0;                                 /*  accumulator                   */
+  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
+  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
+  q31_t *pOut = pDst;                            /*  output pointer initialization */
+  q31_t *pState = S->pState;                     /*  pState pointer initialization */
+  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
+  q31_t Xn;                                      /*  temporary input               */
+  int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
+  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
+
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /*      The variables acc ... acc3 hold output values that are being computed:       
+     *       
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]       
+     */
+
+    sample = blockSize >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /*acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
+      mult_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31 , Yn2 variable is reused */
+      Yn2 = acc << shift;
+
+      /* Read the second input */
+      Xn2 = *(pIn + 1u);
+
+      /* Store the output in the destination buffer. */
+      *pOut = Yn2;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /*acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn2);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn1);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn2);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Read the third input  */
+      Xn1 = *(pIn + 2u);
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 1u) = Yn1;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /*acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn1);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn2);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31, Yn2 variable is reused  */
+      Yn2 = acc << shift;
+
+      /* Read the forth input */
+      Xn = *(pIn + 3u);
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 2u) = Yn2;
+      pIn += 4u;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn2);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      Xn2 = Xn1;
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Xn1 = Xn     */
+      Xn1 = Xn;
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 3u) = Yn1;
+      pOut += 4u;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
+     ** No loop unrolling is used. */
+    sample = (blockSize & 0x3u);
+
+   while(sample > 0u)
+   {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31  */
+      acc = acc << shift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = acc;
+
+      /* decrement the loop counter */
+      sample--;
+   }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+}
+
+/**    
+  * @} end of BiquadCascadeDF1 group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
new file mode 100644
index 0000000..fab57d6
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
@@ -0,0 +1,109 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_df1_init_f32.c    
+*    
+* Description:  floating-point Biquad cascade DirectFormI(DF1) filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @details    
+ * @brief  Initialization function for the floating-point Biquad cascade filter.    
+ * @param[in,out] *S           points to an instance of the floating-point Biquad cascade structure.    
+ * @param[in]     numStages    number of 2nd order stages in the filter.    
+ * @param[in]     *pCoeffs     points to the filter coefficients array.    
+ * @param[in]     *pState      points to the state array.    
+ * @return        none    
+ *    
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ *    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.    
+ * The state variables are arranged in the <code>pState</code> array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ *    
+ */
+
+void arm_biquad_cascade_df1_init_f32(
+  arm_biquad_casd_df1_inst_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF1 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
new file mode 100644
index 0000000..0dbb6d1
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
@@ -0,0 +1,111 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_df1_init_q15.c    
+*    
+* Description:  Q15 Biquad cascade DirectFormI(DF1) filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in,out] *S           points to an instance of the Q15 Biquad cascade structure.    
+ * @param[in]     numStages    number of 2nd order stages in the filter.    
+ * @param[in]     *pCoeffs     points to the filter coefficients.    
+ * @param[in]     *pState      points to the state buffer.    
+ * @param[in]     postShift    Shift to be applied to the accumulator result. Varies according to the coefficients format    
+ * @return        none    
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ *    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}    
+ * </pre>    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>6*numStages</code> values.    
+ * The zero coefficient between <code>b1</code> and <code>b2</code> facilities  use of 16-bit SIMD instructions on the Cortex-M4.    
+ *    
+ * \par    
+ * The state variables are stored in the array <code>pState</code>.    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.    
+ * The state variables are arranged in the <code>pState</code> array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_df1_init_q15(
+  arm_biquad_casd_df1_inst_q15 * S,
+  uint8_t numStages,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  int8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF1 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
new file mode 100644
index 0000000..96ae6f9
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
@@ -0,0 +1,111 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_init_q31.c    
+*    
+* Description:	Q31 Biquad cascade DirectFormI(DF1) filter initialization function.    
+*    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in,out] *S           points to an instance of the Q31 Biquad cascade structure.    
+ * @param[in]     numStages    number of 2nd order stages in the filter.    
+ * @param[in]     *pCoeffs     points to the filter coefficients buffer.    
+ * @param[in]     *pState      points to the state buffer.    
+ * @param[in]     postShift    Shift to be applied after the accumulator.  Varies according to the coefficients format    
+ * @return        none    
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ *    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> points to state variables array.    
+ * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.    
+ * The state variables are arranged in the <code>pState</code> array as:    
+ * <pre>    
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}    
+ * </pre>    
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>4*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_df1_init_q31(
+  arm_biquad_casd_df1_inst_q31 * S,
+  uint8_t numStages,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  int8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF1 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
new file mode 100644
index 0000000..8cfc534
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
@@ -0,0 +1,411 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_q15.c    
+*    
+* Description:	Processing function for the    
+*				Q15 Biquad cascade DirectFormI(DF1) filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 Biquad cascade filter.    
+ * @param[in]  *S points to an instance of the Q15 Biquad cascade structure.    
+ * @param[in]  *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the location where the output result is written.    
+ * @param[in]  blockSize number of samples to process per call.    
+ * @return none.    
+ *    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * The accumulator is then shifted by <code>postShift</code> bits to truncate the result to 1.15 format by discarding the low 16 bits.    
+ * Finally, the result is saturated to 1.15 format.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_biquad_cascade_df1_fast_q15()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t *pIn = pSrc;                             /*  Source pointer                               */
+  q15_t *pOut = pDst;                            /*  Destination pointer                          */
+  q31_t in;                                      /*  Temporary variable to hold input value       */
+  q31_t out;                                     /*  Temporary variable to hold output value      */
+  q31_t b0;                                      /*  Temporary variable to hold bo value          */
+  q31_t b1, a1;                                  /*  Filter coefficients                          */
+  q31_t state_in, state_out;                     /*  Filter state variables                       */
+  q31_t acc_l, acc_h;
+  q63_t acc;                                     /*  Accumulator                                  */
+  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift                                   */
+  q15_t *pState = S->pState;                     /*  State pointer                                */
+  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
+  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
+  int32_t uShift = (32 - lShift);
+
+  do
+  {
+    /* Read the b0 and 0 coefficients using SIMD  */
+    b0 = *__SIMD32(pCoeffs)++;
+
+    /* Read the b1 and b2 coefficients using SIMD */
+    b1 = *__SIMD32(pCoeffs)++;
+
+    /* Read the a1 and a2 coefficients using SIMD */
+    a1 = *__SIMD32(pCoeffs)++;
+
+    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
+    state_in = *__SIMD32(pState)++;
+
+    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
+    state_out = *__SIMD32(pState)--;
+
+    /* Apply loop unrolling and compute 2 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:    
+     *    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+     */
+    sample = blockSize >> 1u;
+
+    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.    
+     ** a second loop below computes the remaining 1 sample. */
+    while(sample > 0u)
+    {
+
+      /* Read the input */
+      in = *__SIMD32(pIn)++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUAD(b0, in);
+
+      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] +  a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, (in >> 16), 16);
+      state_out = __PKHBT(state_out >> 16, (out), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUADX(b0, in);
+      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Store the output in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16);
+
+#else
+
+      *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in >> 16, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+
+      /* Decrement the loop counter */
+      sample--;
+
+    }
+
+    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+
+    if((blockSize & 0x1u) != 0u)
+    {
+      /* Read the input */
+      in = *pIn++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      out = __SMUAD(b0, in);
+
+#else
+
+      out = __SMUADX(b0, in);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* acc =  b1 * x[n-1] + b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) out;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+
+#else
+
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+
+#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    }
+
+    /*  The first stage goes from the input wire to the output wire.  */
+    /*  Subsequent numStages occur in-place in the output wire  */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the state array */
+    *__SIMD32(pState)++ = state_in;
+    *__SIMD32(pState)++ = state_out;
+
+
+    /* Decrement the loop counter */
+    stage--;
+
+  } while(stage > 0u);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t *pIn = pSrc;                             /*  Source pointer                               */
+  q15_t *pOut = pDst;                            /*  Destination pointer                          */
+  q15_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+  q15_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
+  q15_t Xn;                                      /*  temporary input               */
+  q63_t acc;                                     /*  Accumulator                                  */
+  int32_t shift = (15 - (int32_t) S->postShift); /*  Post shift                                   */
+  q15_t *pState = S->pState;                     /*  State pointer                                */
+  q15_t *pCoeffs = S->pCoeffs;                   /*  Coefficient pointer                          */
+  uint32_t sample, stage = (uint32_t) S->numStages;     /*  Stage loop counter                           */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    pCoeffs++;  // skip the 0 coefficient
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /*      The variables acc holds the output value that is computed:         
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
+     */
+
+    sample = blockSize;
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q31_t) b0 *Xn;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q31_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q31_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q31_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q31_t) a2 *Yn2;
+
+      /* The result is converted to 1.31  */
+      acc = __SSAT((acc >> shift), 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q15_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+
+#endif /*     #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+
+/**    
+ * @} end of BiquadCascadeDF1 group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
new file mode 100644
index 0000000..35f2124
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
@@ -0,0 +1,405 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df1_q31.c    
+*    
+* Description:	Processing function for the    
+*				Q31 Biquad cascade filter    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF1    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 Biquad cascade filter.    
+ * @param[in]  *S         points to an instance of the Q31 Biquad cascade structure.    
+ * @param[in]  *pSrc      points to the block of input data.    
+ * @param[out] *pDst      points to the block of output data.    
+ * @param[in]  blockSize  number of samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).    
+ * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to    
+ * 1.31 format by discarding the low 32 bits.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_biquad_cascade_df1_fast_q31()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q63_t acc;                                     /*  accumulator                   */
+  uint32_t uShift = ((uint32_t) S->postShift + 1u);
+  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
+  q31_t *pIn = pSrc;                             /*  input pointer initialization  */
+  q31_t *pOut = pDst;                            /*  output pointer initialization */
+  q31_t *pState = S->pState;                     /*  pState pointer initialization */
+  q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
+  q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
+  q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+  q31_t Xn;                                      /*  temporary input               */
+  uint32_t sample, stage = S->numStages;         /*  loop counters                     */
+
+
+#ifndef ARM_MATH_CM0_FAMILY_FAMILY
+
+  q31_t acc_l, acc_h;                            /*  temporary output variables    */
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:    
+     *    
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+     */
+
+    sample = blockSize >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn2;
+
+      /* The result is converted to 1.31 , Yn2 variable is reused */
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Read the second input */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn2;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn1;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn2;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn1;
+
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Read the third input  */
+      Xn1 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn1;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn2;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn2;
+
+      /* The result is converted to 1.31, Yn2 variable is reused  */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Read the forth input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn2;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn1;
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = Yn1;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    sample = (blockSize & 0x3u);
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn2;
+
+      /* The result is converted to 1.31  */
+      acc = acc >> lShift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q31_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q31_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /*      The variables acc holds the output value that is computed:         
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
+     */
+
+    sample = blockSize;
+
+    while(sample > 0u)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn2;
+
+      /* The result is converted to 1.31  */
+      acc = acc >> lShift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q31_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q31_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while(--stage);
+
+#endif /*  #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
+}
+
+
+
+
+/**    
+  * @} end of BiquadCascadeDF1 group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
new file mode 100644
index 0000000..fc15e3c
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
@@ -0,0 +1,603 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df2T_f32.c    
+*    
+* Description:  Processing function for the floating-point transposed    
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+* @ingroup groupFilters       
+*/
+
+/**       
+* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
+*       
+* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
+* The filters are implemented as a cascade of second order Biquad sections.       
+* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
+* Only floating-point data is supported.       
+*       
+* This function operate on blocks of input and output data and each call to the function       
+* processes <code>blockSize</code> samples through the filter.       
+* <code>pSrc</code> points to the array of input data and       
+* <code>pDst</code> points to the array of output data.       
+* Both arrays contain <code>blockSize</code> values.       
+*       
+* \par Algorithm       
+* Each Biquad stage implements a second order filter using the difference equation:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1       
+*    d1 = b1 * x[n] + a1 * y[n] + d2       
+*    d2 = b2 * x[n] + a2 * y[n]       
+* </pre>       
+* where d1 and d2 represent the two state values.       
+*       
+* \par       
+* A Biquad filter using a transposed Direct Form II structure is shown below.       
+* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
+* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.       
+* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.       
+* Pay careful attention to the sign of the feedback coefficients.       
+* Some design tools flip the sign of the feedback coefficients:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1;       
+*    d1 = b1 * x[n] - a1 * y[n] + d2;       
+*    d2 = b2 * x[n] - a2 * y[n];       
+* </pre>       
+* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.       
+*       
+* \par       
+* Higher order filters are realized as a cascade of second order sections.       
+* <code>numStages</code> refers to the number of second order stages used.       
+* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.       
+* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the       
+* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).       
+*       
+* \par       
+* <code>pState</code> points to the state variable array.       
+* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.       
+* The state variables are arranged in the <code>pState</code> array as:       
+* <pre>       
+*     {d11, d12, d21, d22, ...}       
+* </pre>       
+* where <code>d1x</code> refers to the state variables for the first Biquad and       
+* <code>d2x</code> refers to the state variables for the second Biquad.       
+* The state array has a total length of <code>2*numStages</code> values.       
+* The state variables are updated after each block of data is processed; the coefficients are untouched.       
+*       
+* \par       
+* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
+* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
+* That is why the Direct Form I structure supports Q15 and Q31 data types.    
+* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.    
+* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
+* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
+*       
+* \par Instance Structure       
+* The coefficients and state variables for a filter are stored together in an instance data structure.       
+* A separate instance structure must be defined for each filter.       
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
+*       
+* \par Init Functions       
+* There is also an associated initialization function.      
+* The initialization function performs following operations:       
+* - Sets the values of the internal structure fields.       
+* - Zeros out the values in the state buffer.       
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+*       
+* \par       
+* Use of the initialization function is optional.       
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
+* To place an instance structure into a const data section, the instance structure must be manually initialized.       
+* Set the values in the state buffer to zeros before static initialization.       
+* For example, to statically initialize the instance structure use       
+* <pre>       
+*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
+* </pre>       
+* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.       
+* <code>pCoeffs</code> is the address of the coefficient buffer;        
+*       
+*/
+
+/**       
+* @addtogroup BiquadCascadeDF2T       
+* @{       
+*/
+
+/**      
+* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
+* @param[in]  *S        points to an instance of the filter data structure.      
+* @param[in]  *pSrc     points to the block of input data.      
+* @param[out] *pDst     points to the block of output data      
+* @param[in]  blockSize number of samples to process.      
+* @return none.      
+*/
+
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f32(
+const arm_biquad_cascade_df2T_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+
+   float32_t *pIn = pSrc;                         /*  source pointer            */
+   float32_t *pOut = pDst;                        /*  destination pointer       */
+   float32_t *pState = S->pState;                 /*  State pointer             */
+   float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+   float32_t acc1;                                /*  accumulator               */
+   float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+   float32_t Xn1;                                 /*  temporary input           */
+   float32_t d1, d2;                              /*  state variables           */
+   uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+#if defined(ARM_MATH_CM7)
+	
+   float32_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
+   float32_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
+   float32_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
+   float32_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
+
+   do
+   {
+      /* Reading the coefficients */ 
+      b0 = pCoeffs[0]; 
+      b1 = pCoeffs[1]; 
+      b2 = pCoeffs[2]; 
+      a1 = pCoeffs[3]; 
+      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
+      sample = blockSize >> 4u; 
+      a2 = pCoeffs[4]; 
+
+      /*Reading the state values */ 
+      d1 = pState[0]; 
+      d2 = pState[1]; 
+
+      pCoeffs += 5u;
+
+      
+      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
+       ** a second loop below computes the remaining 1 to 15 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the first 2 inputs. 2 cycles */
+         Xn1  = pIn[0 ];
+         Xn2  = pIn[1 ];
+
+         /* Sample 1. 5 cycles */
+         Xn3  = pIn[2 ];
+         acc1 = b0 * Xn1 + d1;
+         
+         Xn4  = pIn[3 ];
+         d1 = b1 * Xn1 + d2;
+         
+         Xn5  = pIn[4 ];
+         d2 = b2 * Xn1;
+         
+         Xn6  = pIn[5 ];
+         d1 += a1 * acc1;
+         
+         Xn7  = pIn[6 ];
+         d2 += a2 * acc1;
+
+         /* Sample 2. 5 cycles */
+         Xn8  = pIn[7 ];
+         acc2 = b0 * Xn2 + d1;
+         
+         Xn9  = pIn[8 ];
+         d1 = b1 * Xn2 + d2;
+         
+         Xn10 = pIn[9 ];
+         d2 = b2 * Xn2;
+         
+         Xn11 = pIn[10];
+         d1 += a1 * acc2;
+         
+         Xn12 = pIn[11];
+         d2 += a2 * acc2;
+
+         /* Sample 3. 5 cycles */
+         Xn13 = pIn[12];
+         acc3 = b0 * Xn3 + d1;
+         
+         Xn14 = pIn[13];
+         d1 = b1 * Xn3 + d2;
+         
+         Xn15 = pIn[14];
+         d2 = b2 * Xn3;
+         
+         Xn16 = pIn[15];
+         d1 += a1 * acc3;
+         
+         pIn += 16;
+         d2 += a2 * acc3;
+
+         /* Sample 4. 5 cycles */
+         acc4 = b0 * Xn4 + d1;
+         d1 = b1 * Xn4 + d2;
+         d2 = b2 * Xn4;
+         d1 += a1 * acc4;
+         d2 += a2 * acc4;
+
+         /* Sample 5. 5 cycles */
+         acc5 = b0 * Xn5 + d1;
+         d1 = b1 * Xn5 + d2;
+         d2 = b2 * Xn5;
+         d1 += a1 * acc5;
+         d2 += a2 * acc5;
+
+         /* Sample 6. 5 cycles */
+         acc6 = b0 * Xn6 + d1;
+         d1 = b1 * Xn6 + d2;
+         d2 = b2 * Xn6;
+         d1 += a1 * acc6;
+         d2 += a2 * acc6;
+
+         /* Sample 7. 5 cycles */
+         acc7 = b0 * Xn7 + d1;
+         d1 = b1 * Xn7 + d2;
+         d2 = b2 * Xn7;
+         d1 += a1 * acc7;
+         d2 += a2 * acc7;
+
+         /* Sample 8. 5 cycles */
+         acc8 = b0 * Xn8 + d1;
+         d1 = b1 * Xn8 + d2;
+         d2 = b2 * Xn8;
+         d1 += a1 * acc8;
+         d2 += a2 * acc8;
+
+         /* Sample 9. 5 cycles */
+         acc9 = b0 * Xn9 + d1;
+         d1 = b1 * Xn9 + d2;
+         d2 = b2 * Xn9;
+         d1 += a1 * acc9;
+         d2 += a2 * acc9;
+
+         /* Sample 10. 5 cycles */
+         acc10 = b0 * Xn10 + d1;
+         d1 = b1 * Xn10 + d2;
+         d2 = b2 * Xn10;
+         d1 += a1 * acc10;
+         d2 += a2 * acc10;
+
+         /* Sample 11. 5 cycles */
+         acc11 = b0 * Xn11 + d1;
+         d1 = b1 * Xn11 + d2;
+         d2 = b2 * Xn11;
+         d1 += a1 * acc11;
+         d2 += a2 * acc11;
+
+         /* Sample 12. 5 cycles */
+         acc12 = b0 * Xn12 + d1;
+         d1 = b1 * Xn12 + d2;
+         d2 = b2 * Xn12;
+         d1 += a1 * acc12;
+         d2 += a2 * acc12;
+
+         /* Sample 13. 5 cycles */
+         acc13 = b0 * Xn13 + d1;         
+         d1 = b1 * Xn13 + d2;         
+         d2 = b2 * Xn13;
+         
+         pOut[0 ] = acc1 ;
+         d1 += a1 * acc13;
+         
+         pOut[1 ] = acc2 ;	
+         d2 += a2 * acc13;
+
+         /* Sample 14. 5 cycles */
+         pOut[2 ] = acc3 ;	
+         acc14 = b0 * Xn14 + d1;
+             
+         pOut[3 ] = acc4 ;
+         d1 = b1 * Xn14 + d2;
+          
+         pOut[4 ] = acc5 ; 
+         d2 = b2 * Xn14;
+         
+         pOut[5 ] = acc6 ;	  
+         d1 += a1 * acc14;
+         
+         pOut[6 ] = acc7 ;	
+         d2 += a2 * acc14;
+
+         /* Sample 15. 5 cycles */
+         pOut[7 ] = acc8 ;
+         pOut[8 ] = acc9 ;  
+         acc15 = b0 * Xn15 + d1;
+              
+         pOut[9 ] = acc10;	
+         d1 = b1 * Xn15 + d2;
+         
+         pOut[10] = acc11;	
+         d2 = b2 * Xn15;
+         
+         pOut[11] = acc12;
+         d1 += a1 * acc15;
+         
+         pOut[12] = acc13;
+         d2 += a2 * acc15;
+
+         /* Sample 16. 5 cycles */
+         pOut[13] = acc14;	
+         acc16 = b0 * Xn16 + d1;
+         
+         pOut[14] = acc15;	
+         d1 = b1 * Xn16 + d2;
+         
+         pOut[15] = acc16;
+         d2 = b2 * Xn16;
+         
+         sample--;	 
+         d1 += a1 * acc16;
+         
+         pOut += 16;
+         d2 += a2 * acc16;
+      }
+
+      sample = blockSize & 0xFu;
+      while(sample > 0u) {
+         Xn1 = *pIn;         
+         acc1 = b0 * Xn1 + d1;
+         
+         pIn++;
+         d1 = b1 * Xn1 + d2;
+         
+         *pOut = acc1; 
+         d2 = b2 * Xn1;
+         
+         pOut++;
+         d1 += a1 * acc1;
+         
+         sample--;	
+         d2 += a2 * acc1; 
+      }
+
+      /* Store the updated state variables back into the state array */ 
+      pState[0] = d1; 
+      /* The current stage input is given as the output to the next stage */ 
+      pIn = pDst; 
+      
+      pState[1] = d2; 
+      /* decrement the loop counter */ 
+      stage--; 
+
+      pState += 2u;
+
+      /*Reset the output working pointer */ 
+      pOut = pDst; 
+
+   } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+   /* Run the below code for Cortex-M0 */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+
+      sample = blockSize;
+
+      while(sample > 0u)
+      {
+         /* Read the input */
+         Xn1 = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc1 = (b0 * Xn1) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc1;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn1) + (a2 * acc1);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+	 
+#else
+
+   float32_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
+   float32_t acc2, acc3, acc4;              		  /*  accumulator               */
+
+
+   float32_t p0, p1, p2, p3, p4, A1;
+
+   /* Run the below code for Cortex-M4 and Cortex-M3 */
+   do
+   {
+      /* Reading the coefficients */     
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+      
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      /* Apply loop unrolling and compute 4 output values simultaneously. */
+      sample = blockSize >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+   ** a second loop below computes the remaining 1 to 3 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the four inputs */
+         Xn1 = pIn[0];
+         Xn2 = pIn[1];
+         Xn3 = pIn[2];
+         Xn4 = pIn[3];
+         pIn += 4;     
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p0 = b0 * Xn2; 
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn2;
+         acc2 = p0 + d1;
+         p0 = b0 * Xn3;	 
+         p3 = a1 * acc2; 
+         p2 = b2 * Xn2;                                 
+         A1 = p1 + p3;
+         p4 = a2 * acc2;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn3;
+         acc3 = p0 + d1;
+         p0 = b0 * Xn4;	
+         p3 = a1 * acc3;
+         p2 = b2 * Xn3;
+         A1 = p1 + p3;
+         p4 = a2 * acc3;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         acc4 = p0 + d1;
+         p1 = b1 * Xn4;
+         p3 = a1 * acc4;
+         p2 = b2 * Xn4;
+         A1 = p1 + p3;
+         p4 = a2 * acc4;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         pOut[0] = acc1;	
+         pOut[1] = acc2;	
+         pOut[2] = acc3;	
+         pOut[3] = acc4;
+		 pOut += 4;
+				 
+         sample--;	       
+      }
+
+      sample = blockSize & 0x3u;
+      while(sample > 0u) {
+         Xn1 = *pIn++;
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+	
+         *pOut++ = acc1;
+         
+         sample--;	       
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+
+#endif 
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**       
+   * @} end of BiquadCascadeDF2T group       
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
new file mode 100644
index 0000000..265bd3a
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
@@ -0,0 +1,603 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_df2T_f64.c    
+*    
+* Description:  Processing function for the floating-point transposed    
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+* @ingroup groupFilters       
+*/
+
+/**       
+* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
+*       
+* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
+* The filters are implemented as a cascade of second order Biquad sections.       
+* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
+* Only floating-point data is supported.       
+*       
+* This function operate on blocks of input and output data and each call to the function       
+* processes <code>blockSize</code> samples through the filter.       
+* <code>pSrc</code> points to the array of input data and       
+* <code>pDst</code> points to the array of output data.       
+* Both arrays contain <code>blockSize</code> values.       
+*       
+* \par Algorithm       
+* Each Biquad stage implements a second order filter using the difference equation:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1       
+*    d1 = b1 * x[n] + a1 * y[n] + d2       
+*    d2 = b2 * x[n] + a2 * y[n]       
+* </pre>       
+* where d1 and d2 represent the two state values.       
+*       
+* \par       
+* A Biquad filter using a transposed Direct Form II structure is shown below.       
+* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
+* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.       
+* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.       
+* Pay careful attention to the sign of the feedback coefficients.       
+* Some design tools flip the sign of the feedback coefficients:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1;       
+*    d1 = b1 * x[n] - a1 * y[n] + d2;       
+*    d2 = b2 * x[n] - a2 * y[n];       
+* </pre>       
+* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.       
+*       
+* \par       
+* Higher order filters are realized as a cascade of second order sections.       
+* <code>numStages</code> refers to the number of second order stages used.       
+* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.       
+* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the       
+* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).       
+*       
+* \par       
+* <code>pState</code> points to the state variable array.       
+* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.       
+* The state variables are arranged in the <code>pState</code> array as:       
+* <pre>       
+*     {d11, d12, d21, d22, ...}       
+* </pre>       
+* where <code>d1x</code> refers to the state variables for the first Biquad and       
+* <code>d2x</code> refers to the state variables for the second Biquad.       
+* The state array has a total length of <code>2*numStages</code> values.       
+* The state variables are updated after each block of data is processed; the coefficients are untouched.       
+*       
+* \par       
+* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
+* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
+* That is why the Direct Form I structure supports Q15 and Q31 data types.    
+* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.    
+* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
+* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
+*       
+* \par Instance Structure       
+* The coefficients and state variables for a filter are stored together in an instance data structure.       
+* A separate instance structure must be defined for each filter.       
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
+*       
+* \par Init Functions       
+* There is also an associated initialization function.      
+* The initialization function performs following operations:       
+* - Sets the values of the internal structure fields.       
+* - Zeros out the values in the state buffer.       
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+*       
+* \par       
+* Use of the initialization function is optional.       
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
+* To place an instance structure into a const data section, the instance structure must be manually initialized.       
+* Set the values in the state buffer to zeros before static initialization.       
+* For example, to statically initialize the instance structure use       
+* <pre>       
+*     arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};       
+* </pre>       
+* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.       
+* <code>pCoeffs</code> is the address of the coefficient buffer;        
+*       
+*/
+
+/**       
+* @addtogroup BiquadCascadeDF2T       
+* @{       
+*/
+
+/**      
+* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
+* @param[in]  *S        points to an instance of the filter data structure.      
+* @param[in]  *pSrc     points to the block of input data.      
+* @param[out] *pDst     points to the block of output data      
+* @param[in]  blockSize number of samples to process.      
+* @return none.      
+*/
+
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f64(
+const arm_biquad_cascade_df2T_instance_f64 * S,
+float64_t * pSrc,
+float64_t * pDst,
+uint32_t blockSize)
+{
+
+   float64_t *pIn = pSrc;                         /*  source pointer            */
+   float64_t *pOut = pDst;                        /*  destination pointer       */
+   float64_t *pState = S->pState;                 /*  State pointer             */
+   float64_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+   float64_t acc1;                                /*  accumulator               */
+   float64_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+   float64_t Xn1;                                 /*  temporary input           */
+   float64_t d1, d2;                              /*  state variables           */
+   uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+#if defined(ARM_MATH_CM7)
+	
+   float64_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8;   /*  Input State variables     */
+   float64_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16;
+   float64_t acc2, acc3, acc4, acc5, acc6, acc7;  /*  Simulates the accumulator */
+   float64_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16;
+
+   do
+   {
+      /* Reading the coefficients */ 
+      b0 = pCoeffs[0]; 
+      b1 = pCoeffs[1]; 
+      b2 = pCoeffs[2]; 
+      a1 = pCoeffs[3]; 
+      /* Apply loop unrolling and compute 16 output values simultaneously. */ 
+      sample = blockSize >> 4u; 
+      a2 = pCoeffs[4]; 
+
+      /*Reading the state values */ 
+      d1 = pState[0]; 
+      d2 = pState[1]; 
+
+      pCoeffs += 5u;
+
+      
+      /* First part of the processing with loop unrolling.  Compute 16 outputs at a time.       
+       ** a second loop below computes the remaining 1 to 15 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the first 2 inputs. 2 cycles */
+         Xn1  = pIn[0 ];
+         Xn2  = pIn[1 ];
+
+         /* Sample 1. 5 cycles */
+         Xn3  = pIn[2 ];
+         acc1 = b0 * Xn1 + d1;
+         
+         Xn4  = pIn[3 ];
+         d1 = b1 * Xn1 + d2;
+         
+         Xn5  = pIn[4 ];
+         d2 = b2 * Xn1;
+         
+         Xn6  = pIn[5 ];
+         d1 += a1 * acc1;
+         
+         Xn7  = pIn[6 ];
+         d2 += a2 * acc1;
+
+         /* Sample 2. 5 cycles */
+         Xn8  = pIn[7 ];
+         acc2 = b0 * Xn2 + d1;
+         
+         Xn9  = pIn[8 ];
+         d1 = b1 * Xn2 + d2;
+         
+         Xn10 = pIn[9 ];
+         d2 = b2 * Xn2;
+         
+         Xn11 = pIn[10];
+         d1 += a1 * acc2;
+         
+         Xn12 = pIn[11];
+         d2 += a2 * acc2;
+
+         /* Sample 3. 5 cycles */
+         Xn13 = pIn[12];
+         acc3 = b0 * Xn3 + d1;
+         
+         Xn14 = pIn[13];
+         d1 = b1 * Xn3 + d2;
+         
+         Xn15 = pIn[14];
+         d2 = b2 * Xn3;
+         
+         Xn16 = pIn[15];
+         d1 += a1 * acc3;
+         
+         pIn += 16;
+         d2 += a2 * acc3;
+
+         /* Sample 4. 5 cycles */
+         acc4 = b0 * Xn4 + d1;
+         d1 = b1 * Xn4 + d2;
+         d2 = b2 * Xn4;
+         d1 += a1 * acc4;
+         d2 += a2 * acc4;
+
+         /* Sample 5. 5 cycles */
+         acc5 = b0 * Xn5 + d1;
+         d1 = b1 * Xn5 + d2;
+         d2 = b2 * Xn5;
+         d1 += a1 * acc5;
+         d2 += a2 * acc5;
+
+         /* Sample 6. 5 cycles */
+         acc6 = b0 * Xn6 + d1;
+         d1 = b1 * Xn6 + d2;
+         d2 = b2 * Xn6;
+         d1 += a1 * acc6;
+         d2 += a2 * acc6;
+
+         /* Sample 7. 5 cycles */
+         acc7 = b0 * Xn7 + d1;
+         d1 = b1 * Xn7 + d2;
+         d2 = b2 * Xn7;
+         d1 += a1 * acc7;
+         d2 += a2 * acc7;
+
+         /* Sample 8. 5 cycles */
+         acc8 = b0 * Xn8 + d1;
+         d1 = b1 * Xn8 + d2;
+         d2 = b2 * Xn8;
+         d1 += a1 * acc8;
+         d2 += a2 * acc8;
+
+         /* Sample 9. 5 cycles */
+         acc9 = b0 * Xn9 + d1;
+         d1 = b1 * Xn9 + d2;
+         d2 = b2 * Xn9;
+         d1 += a1 * acc9;
+         d2 += a2 * acc9;
+
+         /* Sample 10. 5 cycles */
+         acc10 = b0 * Xn10 + d1;
+         d1 = b1 * Xn10 + d2;
+         d2 = b2 * Xn10;
+         d1 += a1 * acc10;
+         d2 += a2 * acc10;
+
+         /* Sample 11. 5 cycles */
+         acc11 = b0 * Xn11 + d1;
+         d1 = b1 * Xn11 + d2;
+         d2 = b2 * Xn11;
+         d1 += a1 * acc11;
+         d2 += a2 * acc11;
+
+         /* Sample 12. 5 cycles */
+         acc12 = b0 * Xn12 + d1;
+         d1 = b1 * Xn12 + d2;
+         d2 = b2 * Xn12;
+         d1 += a1 * acc12;
+         d2 += a2 * acc12;
+
+         /* Sample 13. 5 cycles */
+         acc13 = b0 * Xn13 + d1;         
+         d1 = b1 * Xn13 + d2;         
+         d2 = b2 * Xn13;
+         
+         pOut[0 ] = acc1 ;
+         d1 += a1 * acc13;
+         
+         pOut[1 ] = acc2 ;	
+         d2 += a2 * acc13;
+
+         /* Sample 14. 5 cycles */
+         pOut[2 ] = acc3 ;	
+         acc14 = b0 * Xn14 + d1;
+             
+         pOut[3 ] = acc4 ;
+         d1 = b1 * Xn14 + d2;
+          
+         pOut[4 ] = acc5 ; 
+         d2 = b2 * Xn14;
+         
+         pOut[5 ] = acc6 ;	  
+         d1 += a1 * acc14;
+         
+         pOut[6 ] = acc7 ;	
+         d2 += a2 * acc14;
+
+         /* Sample 15. 5 cycles */
+         pOut[7 ] = acc8 ;
+         pOut[8 ] = acc9 ;  
+         acc15 = b0 * Xn15 + d1;
+              
+         pOut[9 ] = acc10;	
+         d1 = b1 * Xn15 + d2;
+         
+         pOut[10] = acc11;	
+         d2 = b2 * Xn15;
+         
+         pOut[11] = acc12;
+         d1 += a1 * acc15;
+         
+         pOut[12] = acc13;
+         d2 += a2 * acc15;
+
+         /* Sample 16. 5 cycles */
+         pOut[13] = acc14;	
+         acc16 = b0 * Xn16 + d1;
+         
+         pOut[14] = acc15;	
+         d1 = b1 * Xn16 + d2;
+         
+         pOut[15] = acc16;
+         d2 = b2 * Xn16;
+         
+         sample--;	 
+         d1 += a1 * acc16;
+         
+         pOut += 16;
+         d2 += a2 * acc16;
+      }
+
+      sample = blockSize & 0xFu;
+      while(sample > 0u) {
+         Xn1 = *pIn;         
+         acc1 = b0 * Xn1 + d1;
+         
+         pIn++;
+         d1 = b1 * Xn1 + d2;
+         
+         *pOut = acc1; 
+         d2 = b2 * Xn1;
+         
+         pOut++;
+         d1 += a1 * acc1;
+         
+         sample--;	
+         d2 += a2 * acc1; 
+      }
+
+      /* Store the updated state variables back into the state array */ 
+      pState[0] = d1; 
+      /* The current stage input is given as the output to the next stage */ 
+      pIn = pDst; 
+      
+      pState[1] = d2; 
+      /* decrement the loop counter */ 
+      stage--; 
+
+      pState += 2u;
+
+      /*Reset the output working pointer */ 
+      pOut = pDst; 
+
+   } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+   /* Run the below code for Cortex-M0 */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+
+      sample = blockSize;
+
+      while(sample > 0u)
+      {
+         /* Read the input */
+         Xn1 = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc1 = (b0 * Xn1) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc1;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn1) + (a2 * acc1);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+	 
+#else
+
+   float64_t Xn2, Xn3, Xn4;                  	  /*  Input State variables     */
+   float64_t acc2, acc3, acc4;              		  /*  accumulator               */
+
+
+   float64_t p0, p1, p2, p3, p4, A1;
+
+   /* Run the below code for Cortex-M4 and Cortex-M3 */
+   do
+   {
+      /* Reading the coefficients */     
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+      
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      /* Apply loop unrolling and compute 4 output values simultaneously. */
+      sample = blockSize >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+   ** a second loop below computes the remaining 1 to 3 samples. */
+      while(sample > 0u) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         /* Read the four inputs */
+         Xn1 = pIn[0];
+         Xn2 = pIn[1];
+         Xn3 = pIn[2];
+         Xn4 = pIn[3];
+         pIn += 4;     
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p0 = b0 * Xn2; 
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn2;
+         acc2 = p0 + d1;
+         p0 = b0 * Xn3;	 
+         p3 = a1 * acc2; 
+         p2 = b2 * Xn2;                                 
+         A1 = p1 + p3;
+         p4 = a2 * acc2;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         p1 = b1 * Xn3;
+         acc3 = p0 + d1;
+         p0 = b0 * Xn4;	
+         p3 = a1 * acc3;
+         p2 = b2 * Xn3;
+         A1 = p1 + p3;
+         p4 = a2 * acc3;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         acc4 = p0 + d1;
+         p1 = b1 * Xn4;
+         p3 = a1 * acc4;
+         p2 = b2 * Xn4;
+         A1 = p1 + p3;
+         p4 = a2 * acc4;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+
+         pOut[0] = acc1;	
+         pOut[1] = acc2;	
+         pOut[2] = acc3;	
+         pOut[3] = acc4;
+				 pOut += 4;
+				 
+         sample--;	       
+      }
+
+      sample = blockSize & 0x3u;
+      while(sample > 0u) {
+         Xn1 = *pIn++;
+
+         p0 = b0 * Xn1; 
+         p1 = b1 * Xn1;
+         acc1 = p0 + d1;
+         p3 = a1 * acc1;
+         p2 = b2 * Xn1;
+         A1 = p1 + p3;
+         p4 = a2 * acc1;
+         d1 = A1 + d2;
+         d2 = p2 + p4;
+	
+         *pOut++ = acc1;
+         
+         sample--;	       
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while(stage > 0u);
+
+#endif 
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**       
+   * @} end of BiquadCascadeDF2T group       
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
new file mode 100644
index 0000000..d9011fe
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
@@ -0,0 +1,102 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_df2T_init_f32.c    
+*    
+* Description:  Initialization function for the floating-point transposed   
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF2T    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
+ * @param[in,out] *S           points to an instance of the filter data structure.   
+ * @param[in]     numStages    number of 2nd order stages in the filter.   
+ * @param[in]     *pCoeffs     points to the filter coefficients.   
+ * @param[in]     *pState      points to the state buffer.   
+ * @return        none   
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.    
+ * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>2*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_df2T_init_f32(
+  arm_biquad_cascade_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 2 * numStages */
+  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF2T group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
new file mode 100644
index 0000000..c6065e9
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
@@ -0,0 +1,102 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_df2T_init_f64.c    
+*    
+* Description:  Initialization function for the floating-point transposed   
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF2T    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
+ * @param[in,out] *S           points to an instance of the filter data structure.   
+ * @param[in]     numStages    number of 2nd order stages in the filter.   
+ * @param[in]     *pCoeffs     points to the filter coefficients.   
+ * @param[in]     *pState      points to the state buffer.   
+ * @return        none   
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.    
+ * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>2*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_df2T_init_f64(
+  arm_biquad_cascade_df2T_instance_f64 * S,
+  uint8_t numStages,
+  float64_t * pCoeffs,
+  float64_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 2 * numStages */
+  memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float64_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF2T group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
new file mode 100644
index 0000000..4811973
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
@@ -0,0 +1,683 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_biquad_cascade_stereo_df2T_f32.c    
+*    
+* Description:  Processing function for the floating-point transposed    
+*               direct form II Biquad cascade filter. 2 channels  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+* @ingroup groupFilters       
+*/
+
+/**       
+* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure       
+*       
+* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.       
+* The filters are implemented as a cascade of second order Biquad sections.       
+* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.      
+* Only floating-point data is supported.       
+*       
+* This function operate on blocks of input and output data and each call to the function       
+* processes <code>blockSize</code> samples through the filter.       
+* <code>pSrc</code> points to the array of input data and       
+* <code>pDst</code> points to the array of output data.       
+* Both arrays contain <code>blockSize</code> values.       
+*       
+* \par Algorithm       
+* Each Biquad stage implements a second order filter using the difference equation:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1       
+*    d1 = b1 * x[n] + a1 * y[n] + d2       
+*    d2 = b2 * x[n] + a2 * y[n]       
+* </pre>       
+* where d1 and d2 represent the two state values.       
+*       
+* \par       
+* A Biquad filter using a transposed Direct Form II structure is shown below.       
+* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"       
+* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.       
+* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.       
+* Pay careful attention to the sign of the feedback coefficients.       
+* Some design tools flip the sign of the feedback coefficients:       
+* <pre>       
+*    y[n] = b0 * x[n] + d1;       
+*    d1 = b1 * x[n] - a1 * y[n] + d2;       
+*    d2 = b2 * x[n] - a2 * y[n];       
+* </pre>       
+* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.       
+*       
+* \par       
+* Higher order filters are realized as a cascade of second order sections.       
+* <code>numStages</code> refers to the number of second order stages used.       
+* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.       
+* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the       
+* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).       
+*       
+* \par       
+* <code>pState</code> points to the state variable array.       
+* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.       
+* The state variables are arranged in the <code>pState</code> array as:       
+* <pre>       
+*     {d11, d12, d21, d22, ...}       
+* </pre>       
+* where <code>d1x</code> refers to the state variables for the first Biquad and       
+* <code>d2x</code> refers to the state variables for the second Biquad.       
+* The state array has a total length of <code>2*numStages</code> values.       
+* The state variables are updated after each block of data is processed; the coefficients are untouched.       
+*       
+* \par       
+* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.    
+* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.    
+* That is why the Direct Form I structure supports Q15 and Q31 data types.    
+* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.    
+* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.    
+* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.    
+*       
+* \par Instance Structure       
+* The coefficients and state variables for a filter are stored together in an instance data structure.       
+* A separate instance structure must be defined for each filter.       
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.       
+*       
+* \par Init Functions       
+* There is also an associated initialization function.      
+* The initialization function performs following operations:       
+* - Sets the values of the internal structure fields.       
+* - Zeros out the values in the state buffer.       
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+*       
+* \par       
+* Use of the initialization function is optional.       
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.       
+* To place an instance structure into a const data section, the instance structure must be manually initialized.       
+* Set the values in the state buffer to zeros before static initialization.       
+* For example, to statically initialize the instance structure use       
+* <pre>       
+*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};       
+* </pre>       
+* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer.       
+* <code>pCoeffs</code> is the address of the coefficient buffer;        
+*       
+*/
+
+/**       
+* @addtogroup BiquadCascadeDF2T       
+* @{       
+*/
+
+/**      
+* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.      
+* @param[in]  *S        points to an instance of the filter data structure.      
+* @param[in]  *pSrc     points to the block of input data.      
+* @param[out] *pDst     points to the block of output data      
+* @param[in]  blockSize number of samples to process.      
+* @return none.      
+*/
+
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_stereo_df2T_f32(
+const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+
+    float32_t *pIn = pSrc;                         /*  source pointer            */
+    float32_t *pOut = pDst;                        /*  destination pointer       */
+    float32_t *pState = S->pState;                 /*  State pointer             */
+    float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+    float32_t acc1a, acc1b;                        /*  accumulator               */
+    float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+    float32_t Xn1a, Xn1b;                          /*  temporary input           */
+    float32_t d1a, d2a, d1b, d2b;                  /*  state variables           */
+    uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+#if defined(ARM_MATH_CM7)
+	
+    float32_t Xn2a, Xn3a, Xn4a, Xn5a, Xn6a, Xn7a, Xn8a;         /*  Input State variables     */
+    float32_t Xn2b, Xn3b, Xn4b, Xn5b, Xn6b, Xn7b, Xn8b;         /*  Input State variables     */
+    float32_t acc2a, acc3a, acc4a, acc5a, acc6a, acc7a, acc8a;  /*  Simulates the accumulator */
+    float32_t acc2b, acc3b, acc4b, acc5b, acc6b, acc7b, acc8b;  /*  Simulates the accumulator */
+
+    do
+    {
+        /* Reading the coefficients */ 
+        b0 = pCoeffs[0]; 
+        b1 = pCoeffs[1]; 
+        b2 = pCoeffs[2]; 
+        a1 = pCoeffs[3]; 
+        /* Apply loop unrolling and compute 8 output values simultaneously. */ 
+        sample = blockSize >> 3u; 
+        a2 = pCoeffs[4]; 
+
+        /*Reading the state values */ 
+        d1a = pState[0]; 
+        d2a = pState[1]; 
+        d1b = pState[2]; 
+        d2b = pState[3]; 
+
+        pCoeffs += 5u;
+
+        /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.       
+        ** a second loop below computes the remaining 1 to 7 samples. */
+        while(sample > 0u) {
+
+            /* y[n] = b0 * x[n] + d1 */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            /* d2 = b2 * x[n] + a2 * y[n] */
+
+            /* Read the first 2 inputs. 2 cycles */
+            Xn1a  = pIn[0 ];
+            Xn1b  = pIn[1 ];
+
+            /* Sample 1. 5 cycles */
+            Xn2a  = pIn[2 ];
+            acc1a = b0 * Xn1a + d1a;
+
+            Xn2b  = pIn[3 ];
+            d1a = b1 * Xn1a + d2a;
+
+            Xn3a  = pIn[4 ];
+            d2a = b2 * Xn1a;
+
+            Xn3b  = pIn[5 ];
+            d1a += a1 * acc1a;
+
+            Xn4a  = pIn[6 ];
+            d2a += a2 * acc1a;
+
+            /* Sample 2. 5 cycles */
+            Xn4b  = pIn[7 ];
+            acc1b = b0 * Xn1b + d1b;
+
+            Xn5a  = pIn[8 ];
+            d1b = b1 * Xn1b + d2b;
+
+            Xn5b = pIn[9 ];
+            d2b = b2 * Xn1b;
+
+            Xn6a = pIn[10];
+            d1b += a1 * acc1b;
+
+            Xn6b = pIn[11];
+            d2b += a2 * acc1b;
+
+            /* Sample 3. 5 cycles */
+            Xn7a = pIn[12];
+            acc2a = b0 * Xn2a + d1a;
+
+            Xn7b = pIn[13];
+            d1a = b1 * Xn2a + d2a;
+
+            Xn8a = pIn[14];
+            d2a = b2 * Xn2a;
+
+            Xn8b = pIn[15];
+            d1a += a1 * acc2a;
+
+            pIn += 16;
+            d2a += a2 * acc2a;
+
+            /* Sample 4. 5 cycles */
+            acc2b = b0 * Xn2b + d1b;
+            d1b = b1 * Xn2b + d2b;
+            d2b = b2 * Xn2b;
+            d1b += a1 * acc2b;
+            d2b += a2 * acc2b;
+
+            /* Sample 5. 5 cycles */
+            acc3a = b0 * Xn3a + d1a;
+            d1a = b1 * Xn3a + d2a;
+            d2a = b2 * Xn3a;
+            d1a += a1 * acc3a;
+            d2a += a2 * acc3a;
+
+            /* Sample 6. 5 cycles */
+            acc3b = b0 * Xn3b + d1b;
+            d1b = b1 * Xn3b + d2b;
+            d2b = b2 * Xn3b;
+            d1b += a1 * acc3b;
+            d2b += a2 * acc3b;
+
+            /* Sample 7. 5 cycles */
+            acc4a = b0 * Xn4a + d1a;
+            d1a = b1 * Xn4a + d2a;
+            d2a = b2 * Xn4a;
+            d1a += a1 * acc4a;
+            d2a += a2 * acc4a;
+
+            /* Sample 8. 5 cycles */
+            acc4b = b0 * Xn4b + d1b;
+            d1b = b1 * Xn4b + d2b;
+            d2b = b2 * Xn4b;
+            d1b += a1 * acc4b;
+            d2b += a2 * acc4b;
+
+            /* Sample 9. 5 cycles */
+            acc5a = b0 * Xn5a + d1a;
+            d1a = b1 * Xn5a + d2a;
+            d2a = b2 * Xn5a;
+            d1a += a1 * acc5a;
+            d2a += a2 * acc5a;
+
+            /* Sample 10. 5 cycles */
+            acc5b = b0 * Xn5b + d1b;
+            d1b = b1 * Xn5b + d2b;
+            d2b = b2 * Xn5b;
+            d1b += a1 * acc5b;
+            d2b += a2 * acc5b;
+
+            /* Sample 11. 5 cycles */
+            acc6a = b0 * Xn6a + d1a;
+            d1a = b1 * Xn6a + d2a;
+            d2a = b2 * Xn6a;
+            d1a += a1 * acc6a;
+            d2a += a2 * acc6a;
+
+            /* Sample 12. 5 cycles */
+            acc6b = b0 * Xn6b + d1b;
+            d1b = b1 * Xn6b + d2b;
+            d2b = b2 * Xn6b;
+            d1b += a1 * acc6b;
+            d2b += a2 * acc6b;
+
+            /* Sample 13. 5 cycles */
+            acc7a = b0 * Xn7a + d1a;         
+            d1a = b1 * Xn7a + d2a;   
+            
+            pOut[0 ] = acc1a ;      
+            d2a = b2 * Xn7a;
+
+            pOut[1 ] = acc1b ;	
+            d1a += a1 * acc7a;
+
+            pOut[2 ] = acc2a ;	
+            d2a += a2 * acc7a;
+
+            /* Sample 14. 5 cycles */
+            pOut[3 ] = acc2b ;
+            acc7b = b0 * Xn7b + d1b;
+
+            pOut[4 ] = acc3a ; 
+            d1b = b1 * Xn7b + d2b;
+
+            pOut[5 ] = acc3b ;	
+            d2b = b2 * Xn7b;
+
+            pOut[6 ] = acc4a ;	  
+            d1b += a1 * acc7b;
+
+            pOut[7 ] = acc4b ;
+            d2b += a2 * acc7b;
+
+            /* Sample 15. 5 cycles */
+            pOut[8 ] = acc5a ;  
+            acc8a = b0 * Xn8a + d1a;
+
+            pOut[9 ] = acc5b;	
+            d1a = b1 * Xn8a + d2a;
+
+            pOut[10] = acc6a;	
+            d2a = b2 * Xn8a;
+
+            pOut[11] = acc6b;
+            d1a += a1 * acc8a;
+
+            pOut[12] = acc7a;
+            d2a += a2 * acc8a;
+
+            /* Sample 16. 5 cycles */
+            pOut[13] = acc7b;	
+            acc8b = b0 * Xn8b + d1b;
+
+            pOut[14] = acc8a;	
+            d1b = b1 * Xn8b + d2b;
+
+            pOut[15] = acc8b;
+            d2b = b2 * Xn8b;
+
+            sample--;	 
+            d1b += a1 * acc8b;
+
+            pOut += 16;
+            d2b += a2 * acc8b;
+        }
+
+        sample = blockSize & 0x7u;
+        while(sample > 0u) {
+            /* Read the input */
+            Xn1a = *pIn++; //Channel a
+            Xn1b = *pIn++; //Channel b
+
+            /* y[n] = b0 * x[n] + d1 */
+            acc1a = (b0 * Xn1a) + d1a;
+            acc1b = (b0 * Xn1b) + d1b;
+
+            /* Store the result in the accumulator in the destination buffer. */
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            /* Every time after the output is computed state should be updated. */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+            /* d2 = b2 * x[n] + a2 * y[n] */
+            d2a = (b2 * Xn1a) + (a2 * acc1a);
+            d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+            sample--;	
+        }
+
+        /* Store the updated state variables back into the state array */ 
+        pState[0] = d1a; 
+        pState[1] = d2a;         
+
+        pState[2] = d1b; 
+        pState[3] = d2b; 
+        
+        /* The current stage input is given as the output to the next stage */ 
+        pIn = pDst; 
+        /* decrement the loop counter */ 
+        stage--; 
+
+        pState += 4u;
+        /*Reset the output working pointer */ 
+        pOut = pDst; 
+
+    } while(stage > 0u);
+	
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+    /* Run the below code for Cortex-M0 */
+
+    do
+    {
+        /* Reading the coefficients */
+        b0 = *pCoeffs++;
+        b1 = *pCoeffs++;
+        b2 = *pCoeffs++;
+        a1 = *pCoeffs++;
+        a2 = *pCoeffs++;
+
+        /*Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+
+        sample = blockSize;
+
+        while(sample > 0u)
+        {
+            /* Read the input */
+            Xn1a = *pIn++; //Channel a
+            Xn1b = *pIn++; //Channel b
+
+            /* y[n] = b0 * x[n] + d1 */
+            acc1a = (b0 * Xn1a) + d1a;
+            acc1b = (b0 * Xn1b) + d1b;
+
+            /* Store the result in the accumulator in the destination buffer. */
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            /* Every time after the output is computed state should be updated. */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+            /* d2 = b2 * x[n] + a2 * y[n] */
+            d2a = (b2 * Xn1a) + (a2 * acc1a);
+            d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+            /* decrement the loop counter */
+            sample--;
+        }
+
+        /* Store the updated state variables back into the state array */
+        *pState++ = d1a;
+        *pState++ = d2a;
+        *pState++ = d1b;
+        *pState++ = d2b;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /*Reset the output working pointer */
+        pOut = pDst;
+
+        /* decrement the loop counter */
+        stage--;
+
+    } while(stage > 0u);
+	 
+#else
+
+    float32_t Xn2a, Xn3a, Xn4a;                          /*  Input State variables     */
+    float32_t Xn2b, Xn3b, Xn4b;                          /*  Input State variables     */
+    float32_t acc2a, acc3a, acc4a;                       /*  accumulator               */
+    float32_t acc2b, acc3b, acc4b;                       /*  accumulator               */
+    float32_t p0a, p1a, p2a, p3a, p4a, A1a;
+    float32_t p0b, p1b, p2b, p3b, p4b, A1b;
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    do
+    {
+        /* Reading the coefficients */     
+        b0 = *pCoeffs++;
+        b1 = *pCoeffs++;
+        b2 = *pCoeffs++;
+        a1 = *pCoeffs++;
+        a2 = *pCoeffs++;      
+
+        /*Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+        /* Apply loop unrolling and compute 4 output values simultaneously. */
+        sample = blockSize >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+        ** a second loop below computes the remaining 1 to 3 samples. */
+        while(sample > 0u) {
+
+            /* y[n] = b0 * x[n] + d1 */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            /* d2 = b2 * x[n] + a2 * y[n] */
+
+            /* Read the four inputs */
+            Xn1a = pIn[0];
+            Xn1b = pIn[1];
+            Xn2a = pIn[2];
+            Xn2b = pIn[3];
+            Xn3a = pIn[4];
+            Xn3b = pIn[5];
+            Xn4a = pIn[6];
+            Xn4b = pIn[7];
+            pIn += 8;     
+            
+            p0a = b0 * Xn1a; 
+            p0b = b0 * Xn1b; 
+            p1a = b1 * Xn1a;
+            p1b = b1 * Xn1b;
+            acc1a = p0a + d1a;
+            acc1b = p0b + d1b;
+            p0a = b0 * Xn2a; 
+            p0b = b0 * Xn2b; 
+            p3a = a1 * acc1a;
+            p3b = a1 * acc1b;
+            p2a = b2 * Xn1a;
+            p2b = b2 * Xn1b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc1a;
+            p4b = a2 * acc1b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            p1a = b1 * Xn2a;
+            p1b = b1 * Xn2b;
+            acc2a = p0a + d1a;
+            acc2b = p0b + d1b;
+            p0a = b0 * Xn3a; 
+            p0b = b0 * Xn3b; 
+            p3a = a1 * acc2a;
+            p3b = a1 * acc2b;
+            p2a = b2 * Xn2a;
+            p2b = b2 * Xn2b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc2a;
+            p4b = a2 * acc2b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            p1a = b1 * Xn3a;
+            p1b = b1 * Xn3b;
+            acc3a = p0a + d1a;
+            acc3b = p0b + d1b;
+            p0a = b0 * Xn4a; 
+            p0b = b0 * Xn4b; 
+            p3a = a1 * acc3a;
+            p3b = a1 * acc3b;
+            p2a = b2 * Xn3a;
+            p2b = b2 * Xn3b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc3a;
+            p4b = a2 * acc3b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+            
+            acc4a = p0a + d1a;
+            acc4b = p0b + d1b;
+            p1a = b1 * Xn4a;
+            p1b = b1 * Xn4b;
+            p3a = a1 * acc4a;
+            p3b = a1 * acc4b;
+            p2a = b2 * Xn4a;
+            p2b = b2 * Xn4b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc4a;
+            p4b = a2 * acc4b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+
+            pOut[0] = acc1a;	
+            pOut[1] = acc1b;	
+            pOut[2] = acc2a;	
+            pOut[3] = acc2b;
+            pOut[4] = acc3a;	
+            pOut[5] = acc3b;	
+            pOut[6] = acc4a;	
+            pOut[7] = acc4b;
+            pOut += 8;
+             
+            sample--;	       
+        }
+
+        sample = blockSize & 0x3u;
+        while(sample > 0u) {
+            Xn1a = *pIn++;
+            Xn1b = *pIn++;
+
+            p0a = b0 * Xn1a; 
+            p0b = b0 * Xn1b; 
+            p1a = b1 * Xn1a;
+            p1b = b1 * Xn1b;
+            acc1a = p0a + d1a;
+            acc1b = p0b + d1b;
+            p3a = a1 * acc1a;
+            p3b = a1 * acc1b;
+            p2a = b2 * Xn1a;
+            p2b = b2 * Xn1b;
+            A1a = p1a + p3a;
+            A1b = p1b + p3b;
+            p4a = a2 * acc1a;
+            p4b = a2 * acc1b;
+            d1a = A1a + d2a;
+            d1b = A1b + d2b;
+            d2a = p2a + p4a;
+            d2b = p2b + p4b;
+
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            sample--;	       
+        }
+
+        /* Store the updated state variables back into the state array */
+        *pState++ = d1a;
+        *pState++ = d2a;
+        *pState++ = d1b;
+        *pState++ = d2b;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /*Reset the output working pointer */
+        pOut = pDst;
+
+        /* decrement the loop counter */
+        stage--;
+
+    } while(stage > 0u);
+
+#endif 
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**       
+   * @} end of BiquadCascadeDF2T group       
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
new file mode 100644
index 0000000..b19587a
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
@@ -0,0 +1,102 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_biquad_cascade_stereo_df2T_init_f32.c    
+*    
+* Description:  Initialization function for the floating-point transposed   
+*               direct form II Biquad cascade filter.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup BiquadCascadeDF2T    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.   
+ * @param[in,out] *S           points to an instance of the filter data structure.   
+ * @param[in]     numStages    number of 2nd order stages in the filter.   
+ * @param[in]     *pCoeffs     points to the filter coefficients.   
+ * @param[in]     *pState      points to the state buffer.   
+ * @return        none   
+ *    
+ * <b>Coefficient and State Ordering:</b>    
+ * \par    
+ * The coefficients are stored in the array <code>pCoeffs</code> in the following order:    
+ * <pre>    
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+ * </pre>    
+ *    
+ * \par    
+ * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,    
+ * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,    
+ * and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.    
+ *    
+ * \par    
+ * The <code>pState</code> is a pointer to state array.    
+ * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code> for each channel.    
+ * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.    
+ * The state array has a total length of <code>2*numStages</code> values.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f32(
+  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**    
+ * @} end of BiquadCascadeDF2T group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
new file mode 100644
index 0000000..1fdc6a1
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_f32.c
@@ -0,0 +1,647 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_f32.c    
+*    
+* Description:	Convolution of floating-point sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup Conv Convolution    
+ *    
+ * Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.    
+ * Convolution is similar to correlation and is frequently used in filtering and data analysis.    
+ * The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.    
+ * The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3.    
+ *    
+ * \par Algorithm    
+ * Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively.    
+ * Then the convolution    
+ *    
+ * <pre>    
+ *                   c[n] = a[n] * b[n]    
+ * </pre>    
+ *    
+ * \par    
+ * is defined as    
+ * \image html ConvolutionEquation.gif    
+ * \par    
+ * Note that <code>c[n]</code> is of length <code>srcALen + srcBLen - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., srcALen + srcBLen - 2</code>.    
+ * <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and    
+ * <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>.    
+ * The output result is written to <code>pDst</code> and the calling function must allocate <code>srcALen+srcBLen-1</code> words for the result.    
+ *    
+ * \par    
+ * Conceptually, when two signals <code>a[n]</code> and <code>b[n]</code> are convolved,    
+ * the signal <code>b[n]</code> slides over <code>a[n]</code>.    
+ * For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.    
+ *    
+ * \par    
+ * Note that convolution is a commutative operation:    
+ *    
+ * <pre>    
+ *                   a[n] * b[n] = b[n] * a[n].    
+ * </pre>    
+ *    
+ * \par    
+ * This means that switching the A and B arguments to the convolution functions has no effect.    
+ *    
+ * <b>Fixed-Point Behavior</b>    
+ *    
+ * \par    
+ * Convolution requires summing up a large number of intermediate products.    
+ * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
+ * Refer to the function specific documentation below for further details of the particular algorithm used.    
+ *
+ *
+ * <b>Fast Versions</b>
+ *
+ * \par 
+ * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires
+ * the input signals should be scaled down to avoid intermediate overflows.   
+ *
+ *
+ * <b>Opt Versions</b>
+ *
+ * \par 
+ * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
+ * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions 
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @brief Convolution of floating-point sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @return none.    
+ */
+
+void arm_conv_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t *pIn1;                               /* inputA pointer */
+  float32_t *pIn2;                               /* inputB pointer */
+  float32_t *pOut = pDst;                        /* output pointer */
+  float32_t *px;                                 /* Intermediate inputA pointer */
+  float32_t *py;                                 /* Intermediate inputB pointer */
+  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
+  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
+  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
+  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counters */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally    
+   * divided into three stages according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first stage of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+   * In the third stage of the algorithm, the multiplications decrease by one    
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.    
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]    
+   * sum = x[0] * y[1] + x[1] * y[0]    
+   * ....    
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum += *px++ * *py--;
+
+      /* x[1] * y[srcBLen - 2] */
+      sum += *px++ * *py--;
+
+      /* x[2] * y[srcBLen - 3] */
+      sum += *px++ * *py--;
+
+      /* x[3] * y[srcBLen - 4] */
+      sum += *px++ * *py--;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += *px++ * *py--;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+      x2 = *(px++);
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *(py--);
+
+        /* Read x[3] sample */
+        x3 = *(px);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 += x0 * c0;
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 += x1 * c0;
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 += x2 * c0;
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] */
+        acc3 += x3 * c0;
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *(py--);
+
+        /* Read x[4] sample */
+        x0 = *(px + 1u);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 += x1 * c0;
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 += x2 * c0;
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 += x3 * c0;
+        /* acc3 +=  x[4] * y[srcBLen - 2] */
+        acc3 += x0 * c0;
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *(py--);
+
+        /* Read x[5] sample */
+        x1 = *(px + 2u);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 += x2 * c0;
+        /* acc1 +=  x[3] * y[srcBLen - 2] */
+        acc1 += x3 * c0;
+        /* acc2 +=  x[4] * y[srcBLen - 2] */
+        acc2 += x0 * c0;
+        /* acc3 +=  x[5] * y[srcBLen - 2] */
+        acc3 += x1 * c0;
+
+        /* Read y[srcBLen - 4] sample */
+        c0 = *(py--);
+
+        /* Read x[6] sample */
+        x2 = *(px + 3u);
+        px += 4u;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[srcBLen - 4] */
+        acc0 += x3 * c0;
+        /* acc1 +=  x[4] * y[srcBLen - 4] */
+        acc1 += x0 * c0;
+        /* acc2 +=  x[5] * y[srcBLen - 4] */
+        acc2 += x1 * c0;
+        /* acc3 +=  x[6] * y[srcBLen - 4] */
+        acc3 += x2 * c0;
+
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py--);
+
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 += x3 * c0;
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc0;
+      *pOut++ = acc1;
+      *pOut++ = acc2;
+      *pOut++ = acc3;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+   * sum +=  x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum += *px++ * *py--;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum += *px++ * *py--;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
+  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0u; i < ((srcALen + srcBLen) - 1u); i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0u; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += pIn1[j] * pIn2[i - j];
+      }
+    }
+    /* Store the output in the destination buffer */
+    pDst[i] = sum;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
+
+}
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
new file mode 100644
index 0000000..70f1bfc
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
@@ -0,0 +1,543 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_fast_opt_q15.c    
+*    
+* Description:	Fast Q15 Convolution.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
+ * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
+ * @return none.    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
+ *     
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This fast version uses a 32-bit accumulator with 2.30 format.    
+ * The accumulator maintains full precision of the intermediate multiplication results    
+ * but provides only a single guard bit. There is no saturation on intermediate additions.    
+ * Thus, if the accumulator overflows it wraps around and distorts the result.    
+ * The input signals should be scaled down to avoid intermediate overflows.    
+ * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
+ * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
+ * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
+ *    
+ * \par    
+ * See <code>arm_conv_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
+ */
+
+void arm_conv_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+  q31_t y1, y2;                                  /* State variables */
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  uint32_t tapCnt;                               /* loop count */
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t a, b;
+
+#endif	/*	#ifdef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* Pointer to take end of scratch2 buffer */
+  pScr2 = pScratch2 + srcBLen - 1;
+
+  /* points to smaller length sequence */
+  px = pIn2;
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcBLen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+
+  /* Copy smaller length input sequence in reverse order into second scratch buffer */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcBLen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr2-- = *px++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Initialze temporary scratch pointer */
+  pScr1 = pScratch1;
+
+  /* Assuming scratch1 buffer is aligned by 32-bit */
+  /* Fill (srcBLen - 1u) zeros in scratch1 buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1u);
+
+  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcALen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1u);
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = (srcBLen - 1u) % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = py;
+
+  /* First part of the processing with loop unrolling process 4 data points at a time.       
+   ** a second loop below process for the remaining 1 to 3 samples. */
+
+  /* Actual convolution process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr1)++;
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr1)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pIn2);
+      y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = _SIMD32_OFFSET(pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x2, y2, acc0);
+      acc2 = __SMLAD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+      acc1 = __SMLADX(x3, y2, acc1);
+
+      x2 = _SIMD32_OFFSET(pScr1 + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+
+#else	 
+
+      /* Read four samples from smaller buffer */
+	  a = *pIn2;
+	  b = *(pIn2 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      y1 = __PKHBT(a, b, 16);
+#else
+      y1 = __PKHBT(b, a, 16);
+#endif
+	  
+	  a = *(pIn2 + 2);
+	  b = *(pIn2 + 3);
+#ifndef ARM_MATH_BIG_ENDIAN
+      y2 = __PKHBT(a, b, 16);
+#else
+      y2 = __PKHBT(b, a, 16);
+#endif				
+
+      acc0 = __SMLAD(x1, y1, acc0);
+
+      acc2 = __SMLAD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+	  a = *pScr1;
+	  b = *(pScr1 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(a, b, 16);
+#else
+      x1 = __PKHBT(b, a, 16);
+#endif
+
+      acc0 = __SMLAD(x2, y2, acc0);
+
+      acc2 = __SMLAD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      acc1 = __SMLADX(x3, y2, acc1);
+
+	  a = *(pScr1 + 2);
+	  b = *(pScr1 + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x2 = __PKHBT(a, b, 16);
+#else
+      x2 = __PKHBT(b, a, 16);
+#endif
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      /* update scratch pointers */
+      pIn2 += 4u;
+      pScr1 += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+
+    /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+
+#else
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the output in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 1u;
+
+  }
+
+}
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
new file mode 100644
index 0000000..44f19bb
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q15.c
@@ -0,0 +1,1410 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_fast_q15.c   
+*   
+* Description:	Fast Q15 Convolution.   
+*   
+* Target Processor: Cortex-M4/Cortex-M3
+* 
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Conv   
+ * @{   
+ */
+
+/**   
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
+ * @return none.   
+ *   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * This fast version uses a 32-bit accumulator with 2.30 format.   
+ * The accumulator maintains full precision of the intermediate multiplication results   
+ * but provides only a single guard bit. There is no saturation on intermediate additions.   
+ * Thus, if the accumulator overflows it wraps around and distorts the result.   
+ * The input signals should be scaled down to avoid intermediate overflows.   
+ * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,   
+ * as maximum of min(srcALen, srcBLen) number of additions are carried internally.   
+ * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
+ *   
+ * \par   
+ * See <code>arm_conv_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.   
+ */
+
+void arm_conv_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+#ifndef UNALIGNED_SUPPORT_DISABLE
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *pOut = pDst;                            /* output pointer */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally   
+   * divided into three stages according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first stage of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+   * In the third stage of the algorithm, the multiplications decrease by one   
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.   
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]   
+   * sum = x[0] * y[1] + x[1] * y[0]   
+   * ....   
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations less than 4 */
+  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  while((count < 4u) && (blockSize1 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Loop over number of MAC operations between   
+     * inputA samples and inputB samples */
+    k = count;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* The second part of the stage starts here */
+  /* The internal loop, over count, is unrolled by 4 */
+  /* To, read the last two inputB samples using SIMD:   
+   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+  py = py - 1;
+
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD   
+     * So, py is incremented by 1 */
+    py = py + 1u;
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + (count - 1u);
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+
+  /* --------------------   
+   * Stage2 process   
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      py = py - 1u;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+
+      /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+      /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px+1);
+	  px+= 2u;
+
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:   
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLADX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLADX(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+        /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px+1);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLADX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLADX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLADX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLADX(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px+2);
+
+        /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px+3);
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLADX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLADX(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+
+        /* Read y[srcBLen - 7] */
+		c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+        x3 =  _SIMD32_OFFSET(px+2);
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ = __PKHBT((acc0 >> 15), (acc1 >> 15), 16);
+      *__SIMD32(pOut)++ = __PKHBT((acc2 >> 15), (acc3 >> 15), 16);
+
+#else
+
+      *__SIMD32(pOut)++ = __PKHBT((acc1 >> 15), (acc0 >> 15), 16);
+      *__SIMD32(pOut)++ = __PKHBT((acc3 >> 15), (acc2 >> 15), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+   * sum +=  x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  pIn2 = pSrc2 - 1u;
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations greater than 4 */
+  /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  j = blockSize3 >> 2u;
+
+  while((j > 0u) && (blockSize3 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
+       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
+       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD   
+     * So, py is incremented by 1 */
+    py = py + 1u;
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+
+    j--;
+  }
+
+  /* The second part of the stage starts here */
+  /* SIMD is not used for the next MAC operations,   
+   * so pointer py is updated to read only one sample at a time */
+  py = py + 1u;
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *pOut = pDst;                            /* output pointer */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
+  q15_t a, b;
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally   
+   * divided into three stages according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first stage of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+   * In the third stage of the algorithm, the multiplications decrease by one   
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.   
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]   
+   * sum = x[0] * y[1] + x[1] * y[0]   
+   * ....   
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations less than 4 */
+  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  while((count < 4u) && (blockSize1 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Loop over number of MAC operations between   
+     * inputA samples and inputB samples */
+    k = count;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* The second part of the stage starts here */
+  /* The internal loop, over count, is unrolled by 4 */
+  /* To, read the last two inputB samples using SIMD:   
+   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+  py = py - 1;
+
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+	py++;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + (count - 1u);
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+
+  /* --------------------   
+   * Stage2 process   
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      py = py - 1u;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;	  
+
+      /* read x[0], x[1] samples */
+	  a = *px++;
+	  b = *px++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x0 = __PKHBT(a, b, 16);
+	  a = *px;
+	  x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  x0 = __PKHBT(b, a, 16);
+	  a = *px;
+	  x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:   
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+		a = *py;
+		b = *(py+1);
+		py -= 2;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLADX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLADX(x1, c0, acc1);
+
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x2 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x3 = __PKHBT(b, a, 16);
+
+#else
+
+	  x2 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x3 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLADX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLADX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+		a = *py;
+		b = *(py+1);
+		py -= 2;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLADX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLADX(x3, c0, acc1);
+
+        /* Read x[4], x[5], x[6] */
+	  a = *(px + 2);
+	  b = *(px + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x0 = __PKHBT(a, b, 16);
+	  a = *(px + 4);
+	  x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  x0 = __PKHBT(b, a, 16);
+	  a = *(px + 4);
+	  x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLADX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLADX(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+		a = *px;
+		b = *(px+1);
+		px++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		x3 = __PKHBT(a, b, 16);
+
+#else
+
+ 		x3 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+		a = *py;
+		b = *(py+1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Read x[7], x[8], x[9] */
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x3 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  x3 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+		a = *py;
+		b = *(py+1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Read x[7], x[8], x[9] */
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x3 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  x3 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+
+        /* Read y[srcBLen - 7] */
+		c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+		a = *(px+2);
+		b = *(px+3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		x3 = __PKHBT(a, b, 16);
+
+#else
+
+ 		x3 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the results in the accumulators in the destination buffer. */
+	  *pOut++ = (q15_t)(acc0 >> 15);
+	  *pOut++ = (q15_t)(acc1 >> 15);
+	  *pOut++ = (q15_t)(acc2 >> 15);
+	  *pOut++ = (q15_t)(acc3 >> 15);
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+   * sum +=  x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  pIn2 = pSrc2 - 1u;
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations greater than 4 */
+  /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  j = blockSize3 >> 2u;
+
+  while((j > 0u) && (blockSize3 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+	py++;
+
+    while(k > 0u)
+    {	
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+        sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+
+    j--;
+  }
+
+  /* The second part of the stage starts here */
+  /* SIMD is not used for the next MAC operations,   
+   * so pointer py is updated to read only one sample at a time */
+  py = py + 1u;
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+}
+
+/**   
+ * @} end of Conv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
new file mode 100644
index 0000000..4111a1e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_fast_q31.c
@@ -0,0 +1,577 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_fast_q31.c    
+*    
+* Description:	Q31 Convolution (fast version).    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
+ * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
+ * Finally, the accumulator is saturated and converted to a 1.31 result.    
+ *    
+ * \par    
+ * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signals must be scaled down.    
+ * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
+ * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
+ *    
+ * \par    
+ * See <code>arm_conv_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
+ */
+
+void arm_conv_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q31_t *pIn1;                                   /* inputA pointer */
+  q31_t *pIn2;                                   /* inputB pointer */
+  q31_t *pOut = pDst;                            /* output pointer */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally    
+   * divided into three stages according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first stage of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+   * In the third stage of the algorithm, the multiplications decrease by one    
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.    
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * Initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]    
+   * sum = x[0] * y[1] + x[1] * y[0]    
+   * ....    
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* x[1] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* x[2] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* x[3] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum << 1;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+      x2 = *(px++);
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *(py--);
+
+        /* Read x[3] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *(py--);
+
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc3 +=  x[4] * y[srcBLen - 2] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *(py--);
+
+        /* Read x[5] sample */
+        x1 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc1 +=  x[3] * y[srcBLen - 3] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc2 +=  x[4] * y[srcBLen - 3] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc3 +=  x[5] * y[srcBLen - 3] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+        /* Read y[srcBLen - 4] sample */
+        c0 = *(py--);
+
+        /* Read x[6] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[srcBLen - 4] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc1 +=  x[4] * y[srcBLen - 4] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc2 +=  x[5] * y[srcBLen - 4] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc3 +=  x[6] * y[srcBLen - 4] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py--);
+
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the results in the accumulators in the destination buffer. */
+      *pOut++ = (q31_t) (acc0 << 1);
+      *pOut++ = (q31_t) (acc1 << 1);
+      *pOut++ = (q31_t) (acc2 << 1);
+      *pOut++ = (q31_t) (acc3 << 1);
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+   * sum +=  x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py--))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum << 1;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
new file mode 100644
index 0000000..dffa2de
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q15.c
@@ -0,0 +1,545 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_opt_q15.c    
+*    
+* Description:	Convolution of Q15 sequences.      
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @brief Convolution of Q15 sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @param[in]  *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
+ * @param[in]  *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).    
+ * @return none.    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
+ *    
+ *       
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * This approach provides 33 guard bits and there is no risk of overflow.    
+ * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
+ *  
+ *   
+ * \par    
+ * Refer to <code>arm_conv_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.     
+ * 
+ *  
+ */
+
+void arm_conv_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+  q31_t y1, y2;                                  /* State variables */
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  uint32_t tapCnt;                               /* loop count */
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t a, b;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* pointer to take end of scratch2 buffer */
+  pScr2 = pScratch2 + srcBLen - 1;
+
+  /* points to smaller length sequence */
+  px = pIn2;
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcBLen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  /* Copy smaller length input sequence in reverse order into second scratch buffer */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcBLen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr2-- = *px++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Initialze temporary scratch pointer */
+  pScr1 = pScratch1;
+
+  /* Assuming scratch1 buffer is aligned by 32-bit */
+  /* Fill (srcBLen - 1u) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1u);
+
+  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+    *pScr1++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcALen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif
+
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1u);
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = (srcBLen - 1u) % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = py;
+
+  /* First part of the processing with loop unrolling process 4 data points at a time.       
+   ** a second loop below process for the remaining 1 to 3 samples. */
+
+  /* Actual convolution process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr1)++;
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr1)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pIn2);
+      y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x1, y1, acc0);
+      acc2 = __SMLALD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = _SIMD32_OFFSET(pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x2, y2, acc0);
+      acc2 = __SMLALD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+      x2 = _SIMD32_OFFSET(pScr1 + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+#else	 
+
+      /* Read four samples from smaller buffer */
+	  a = *pIn2;
+	  b = *(pIn2 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      y1 = __PKHBT(a, b, 16);
+#else
+      y1 = __PKHBT(b, a, 16);
+#endif
+	  
+	  a = *(pIn2 + 2);
+	  b = *(pIn2 + 3);
+#ifndef ARM_MATH_BIG_ENDIAN
+      y2 = __PKHBT(a, b, 16);
+#else
+      y2 = __PKHBT(b, a, 16);
+#endif				
+
+      acc0 = __SMLALD(x1, y1, acc0);
+
+      acc2 = __SMLALD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+	  a = *pScr1;
+	  b = *(pScr1 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(a, b, 16);
+#else
+      x1 = __PKHBT(b, a, 16);
+#endif
+
+      acc0 = __SMLALD(x2, y2, acc0);
+
+      acc2 = __SMLALD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+	  a = *(pScr1 + 2);
+	  b = *(pScr1 + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x2 = __PKHBT(a, b, 16);
+#else
+      x2 = __PKHBT(b, a, 16);
+#endif
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      pIn2 += 4u;
+      pScr1 += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+
+    /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+
+    *__SIMD32(pOut)++ =
+      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Read next two samples from scratch1 buffer */
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the output in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 1u;
+
+  }
+
+}
+
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
new file mode 100644
index 0000000..b77afbe
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_opt_q7.c
@@ -0,0 +1,435 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_opt_q7.c    
+*    
+* Description:	Convolution of Q7 sequences.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @brief Convolution of Q7 sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
+ * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).   
+ * @return none.    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
+ *       
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.    
+ * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
+ * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.    
+ * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.    
+ *
+ */
+
+void arm_conv_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
+  q15_t x4;                                      /* Temporary input variable */
+  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
+  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
+  q7_t *px;                                      /* Temporary input1 pointer */
+  q15_t *py;                                     /* Temporary input2 pointer */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
+  q7_t *pOut = pDst;                             /* output pointer */
+  q7_t out0, out1, out2, out3;                   /* temporary variables */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* pointer to take end of scratch2 buffer */
+  pScr2 = pScratch2;
+
+  /* points to smaller length sequence */
+  px = pIn2 + srcBLen - 1;
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcBLen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) * px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) * px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) * px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) * px--;
+    *pScr2++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcBLen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * px--;
+    *pScr2++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Initialze temporary scratch pointer */
+  pScr1 = pScratch1;
+
+  /* Fill (srcBLen - 1u) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1u);
+
+  /* Copy (srcALen) samples in scratch buffer */
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcALen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1u);
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = (srcBLen - 1u) % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = (q7_t *) py;
+
+  pScr2 = py;
+
+  /* Actual convolution process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr1)++;
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr1)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pScr2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = *__SIMD32(pScr1)++;
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pScr2 + 2u);
+
+      acc0 = __SMLAD(x2, y1, acc0);
+
+      acc2 = __SMLAD(x1, y1, acc2);
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      x2 = *__SIMD32(pScr1)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      pScr2 += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4u;
+
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2);
+      acc1 += (*pScr1++ * *pScr2);
+      acc2 += (*pScr1++ * *pScr2);
+      acc3 += (*pScr1++ * *pScr2++);
+
+      pScr1 -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
+    out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
+    out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
+    out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
+
+    *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+      acc0 += (*pScr1++ * *pScr2++);
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 1u;
+
+  }
+
+}
+
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
new file mode 100644
index 0000000..226ffd5
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_f32.c
@@ -0,0 +1,669 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_f32.c    
+*    
+* Description:	Partial convolution of floating-point sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup PartialConv Partial Convolution    
+ *    
+ * Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.    
+ * Each function has two additional arguments.    
+ * <code>firstIndex</code> specifies the starting index of the subset of output samples.    
+ * <code>numPoints</code> is the number of output samples to compute.    
+ * The function computes the output in the range    
+ * <code>[firstIndex, ..., firstIndex+numPoints-1]</code>.    
+ * The output array <code>pDst</code> contains <code>numPoints</code> values.    
+ *    
+ * The allowable range of output indices is [0 srcALen+srcBLen-2].    
+ * If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.    
+ * Otherwise the functions return ARM_MATH_SUCCESS.    
+ * \note Refer arm_conv_f32() for details on fixed point behavior.   
+ *
+ * 
+ * <b>Fast Versions</b>
+ *
+ * \par 
+ * Fast versions are supported for Q31 and Q15 of partial convolution.  Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
+ * the input signals should be scaled down to avoid intermediate overflows.   
+ *
+ *
+ * <b>Opt Versions</b>
+ *
+ * \par 
+ * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
+ * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of floating-point sequences.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ */
+
+arm_status arm_conv_partial_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
+  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
+  float32_t *pOut = pDst;                        /* output pointer */
+  float32_t *px;                                 /* Intermediate inputA pointer */
+  float32_t *py;                                 /* Intermediate inputB pointer */
+  float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
+  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulator */
+  float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
+  uint32_t j, k, count = 0u, blkCnt, check;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters */
+  arm_status status;                             /* status of Partial convolution */
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds    
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = ((int32_t) check - blockSize3) -
+      (blockSize1 + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally    
+     * divided into three stages according to the number of multiplications that has to be    
+     * taken place between inputA samples and inputB samples. In the first stage of the    
+     * algorithm, the multiplications increase by one for every iteration.    
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+     * In the third stage of the algorithm, the multiplications decrease by one    
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex    
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------    
+     * Initializations of stage1    
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]    
+     * sum = x[0] * y[1] + x[1] * y[0]    
+     * ....    
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.    
+       The count variable holds the number of MAC operations performed.    
+       Since the partial convolution starts from from firstIndex    
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc1 = pIn2 + firstIndex;
+    py = pSrc1;
+
+    /* ------------------------    
+     * Stage1 process    
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum += *px++ * *py--;
+
+        /* x[1] * y[srcBLen - 2] */
+        sum += *px++ * *py--;
+
+        /* x[2] * y[srcBLen - 3] */
+        sum += *px++ * *py--;
+
+        /* x[3] * y[srcBLen - 4] */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc1;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------    
+     * Initializations of stage2    
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+     * ....    
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+    /* -------------------    
+     * Stage2 process    
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+     * So, to loop unroll over blockSize2,    
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blockSize2, by 4 */
+      blkCnt = ((uint32_t) blockSize2 >> 2u);
+
+      while(blkCnt > 0u)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0.0f;
+        acc1 = 0.0f;
+        acc2 = 0.0f;
+        acc3 = 0.0f;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *(px++);
+        x1 = *(px++);
+        x2 = *(px++);
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *(py--);
+
+          /* Read x[3] sample */
+          x3 = *(px++);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 += x0 * c0;
+
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 += x1 * c0;
+
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 += x2 * c0;
+
+          /* acc3 +=  x[3] * y[srcBLen - 1] */
+          acc3 += x3 * c0;
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *(py--);
+
+          /* Read x[4] sample */
+          x0 = *(px++);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 += x1 * c0;
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 += x2 * c0;
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 += x3 * c0;
+          /* acc3 +=  x[4] * y[srcBLen - 2] */
+          acc3 += x0 * c0;
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *(py--);
+
+          /* Read x[5] sample */
+          x1 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 += x2 * c0;
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 += x3 * c0;
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 += x0 * c0;
+          /* acc3 +=  x[5] * y[srcBLen - 2] */
+          acc3 += x1 * c0;
+
+          /* Read y[srcBLen - 4] sample */
+          c0 = *(py--);
+
+          /* Read x[6] sample */
+          x2 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[3] * y[srcBLen - 4] */
+          acc0 += x3 * c0;
+          /* acc1 +=  x[4] * y[srcBLen - 4] */
+          acc1 += x0 * c0;
+          /* acc2 +=  x[5] * y[srcBLen - 4] */
+          acc2 += x1 * c0;
+          /* acc3 +=  x[6] * y[srcBLen - 4] */
+          acc3 += x2 * c0;
+
+
+        } while(--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *(py--);
+
+          /* Read x[7] sample */
+          x3 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += x0 * c0;
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += x1 * c0;
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += x2 * c0;
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 += x3 * c0;
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = acc0;
+        *pOut++ = acc1;
+        *pOut++ = acc2;
+        *pOut++ = acc3;
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count += 4u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0.0f;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += *px++ * *py--;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,    
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0.0f;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += *px++ * *py--;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------    
+     * Initializations of stage3    
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+     * ....    
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+     * sum +=  x[srcALen-1] * y[srcBLen-1]    
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.    
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
+  float32_t *pIn2 = pSrcB;                       /* inputB pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0.0f;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0u; j <= i; j++)
+      {
+        /* Check the array limitations for inputs */
+        if((((i - j) < srcBLen) && (j < srcALen)))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += pIn1[j] * pIn2[i - j];
+        }
+      }
+      /* Store the output in the destination buffer */
+      pDst[i] = sum;
+    }
+    /* set status as ARM_SUCCESS as there are no argument errors */
+    status = ARM_MATH_SUCCESS;
+  }
+  return (status);
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
new file mode 100644
index 0000000..194246f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
@@ -0,0 +1,768 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_fast_opt_q15.c    
+*    
+* Description:	Fast Q15 Partial convolution.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
+ * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ *    
+ * See <code>arm_conv_partial_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit    
+ *     
+ */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+arm_status arm_conv_partial_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+  q31_t y1, y2;                                  /* State variables */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  arm_status status;
+
+  uint32_t tapCnt;                               /* loop count */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+
+    /* Copy smaller length input sequence in reverse order into second scratch buffer */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Assuming scratch1 buffer is aligned by 32-bit */
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+    /* Copy (srcALen) samples in scratch buffer */
+    arm_copy_q15(pIn1, pScr1, srcALen);
+
+    /* Update pointers */
+    pScr1 += srcALen;
+
+    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* First part of the processing with loop unrolling process 4 data points at a time.       
+     ** a second loop below process for the remaining 1 to 3 samples. */
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = *__SIMD32(pScr1)++;
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = *__SIMD32(pScr1)++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read four samples from smaller buffer */
+        y1 = _SIMD32_OFFSET(pIn2);
+        y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x1, y1, acc0);
+        acc2 = __SMLAD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = _SIMD32_OFFSET(pScr1);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x2, y2, acc0);
+
+        acc2 = __SMLAD(x1, y2, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+        acc1 = __SMLADX(x3, y2, acc1);
+
+        x2 = _SIMD32_OFFSET(pScr1 + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y2, acc3);
+
+        /* update scratch pointers */
+        pIn2 += 4u;
+        pScr1 += 4u;
+
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+
+    blkCnt = numPoints & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = *__SIMD32(pScr1)++;
+
+        /* Read two samples from smaller buffer */
+        y1 = *__SIMD32(pIn2)++;
+
+        acc0 = __SMLAD(x1, y1, acc0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
+       ** Then store the output in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1u;
+
+    }
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+  /* Return to application */
+  return (status);
+}
+
+#else
+
+arm_status arm_conv_partial_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  arm_status status;                             /* Status variable */
+  uint32_t tapCnt;                               /* loop count */
+  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
+  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcALen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcALen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr1++ = *pIn1++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = (srcBLen - 1u) >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = (srcBLen - 1u) % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x10 = *pScr1++;
+      x11 = *pScr1++;
+
+      /* Read next two samples from scratch1 buffer */
+      x20 = *pScr1++;
+      x21 = *pScr1++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read two samples from smaller buffer */
+        y10 = *pIn2;
+        y11 = *(pIn2 + 1u);
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x10 *y10;
+        acc0 += (q31_t) x11 *y11;
+        acc2 += (q31_t) x20 *y10;
+        acc2 += (q31_t) x21 *y11;
+
+        /* multiply and accumlate */
+        acc1 += (q31_t) x11 *y10;
+        acc1 += (q31_t) x20 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1;
+        x11 = *(pScr1 + 1u);
+
+        /* multiply and accumlate */
+        acc3 += (q31_t) x21 *y10;
+        acc3 += (q31_t) x10 *y11;
+
+        /* Read next two samples from scratch2 buffer */
+        y10 = *(pIn2 + 2u);
+        y11 = *(pIn2 + 3u);
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x20 *y10;
+        acc0 += (q31_t) x21 *y11;
+        acc2 += (q31_t) x10 *y10;
+        acc2 += (q31_t) x11 *y11;
+        acc1 += (q31_t) x21 *y10;
+        acc1 += (q31_t) x10 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x20 = *(pScr1 + 2);
+        x21 = *(pScr1 + 3);
+
+        /* multiply and accumlate */
+        acc3 += (q31_t) x11 *y10;
+        acc3 += (q31_t) x20 *y11;
+
+        /* update scratch pointers */
+        pIn2 += 4u;
+        pScr1 += 4u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+      *pOut++ = __SSAT((acc0 >> 15), 16);
+      *pOut++ = __SSAT((acc1 >> 15), 16);
+      *pOut++ = __SSAT((acc2 >> 15), 16);
+      *pOut++ = __SSAT((acc3 >> 15), 16);
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+
+    blkCnt = numPoints & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1++;
+        x11 = *pScr1++;
+
+        /* Read two samples from smaller buffer */
+        y10 = *pIn2++;
+        y11 = *pIn2++;
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x10 *y10;
+        acc0 += (q31_t) x11 *y11;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1u;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
new file mode 100644
index 0000000..794879e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
@@ -0,0 +1,1492 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_partial_fast_q15.c   
+*   
+* Description:	Fast Q15 Partial convolution.   
+*   
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup PartialConv   
+ * @{   
+ */
+
+/**   
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
+ * @param[in]       *pSrcA points to the first input sequence.   
+ * @param[in]       srcALen length of the first input sequence.   
+ * @param[in]       *pSrcB points to the second input sequence.   
+ * @param[in]       srcBLen length of the second input sequence.   
+ * @param[out]      *pDst points to the location where the output result is written.   
+ * @param[in]       firstIndex is the first output sample to start with.   
+ * @param[in]       numPoints is the number of output points to be computed.   
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
+ *   
+ * See <code>arm_conv_partial_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
+ */
+
+
+arm_status arm_conv_partial_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >=srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds   
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
+                                    (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally   
+     * divided into three stages according to the number of multiplications that has to be   
+     * taken place between inputA samples and inputB samples. In the first stage of the   
+     * algorithm, the multiplications increase by one for every iteration.   
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+     * In the third stage of the algorithm, the multiplications decrease by one   
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex   
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------   
+     * Initializations of stage1   
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]   
+     * sum = x[0] * y[1] + x[1] * y[0]   
+     * ....   
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed.   
+       Since the partial convolution starts from firstIndex   
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------   
+     * Stage1 process   
+     * ----------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations less than 4 */
+    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    while((count < 4u) && (blockSize1 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over number of MAC operations between   
+       * inputA samples and inputB samples */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* The second part of the stage starts here */
+    /* The internal loop, over count, is unrolled by 4 */
+    /* To, read the last two inputB samples using SIMD:   
+     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+    py = py - 1;
+
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD   
+       * So, py is incremented by 1 */
+      py = py + 1u;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2 - 1u;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------   
+     * Initializations of stage2   
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+     * ....   
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is the index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+
+    /* --------------------   
+     * Stage2 process   
+     * -------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+     * So, to loop unroll over blockSize2,   
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blockSize2, by 4 */
+      blkCnt = ((uint32_t) blockSize2 >> 2u);
+
+      while(blkCnt > 0u)
+      {
+      py = py - 1u;
+
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+
+        /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+        /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px+1);
+	  px+= 2u;
+
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read the last two inputB samples using SIMD:   
+           * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = *__SIMD32(py)--;
+
+          /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+          acc0 = __SMLADX(x0, c0, acc0);
+
+          /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+          acc1 = __SMLADX(x1, c0, acc1);
+
+          /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+          /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px+1);
+
+          /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+          acc2 = __SMLADX(x2, c0, acc2);
+
+          /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+          acc3 = __SMLADX(x3, c0, acc3);
+
+          /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = *__SIMD32(py)--;
+
+          /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+          acc0 = __SMLADX(x2, c0, acc0);
+
+          /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+          acc1 = __SMLADX(x3, c0, acc1);
+
+          /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px+2);
+
+          /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px+3);
+		px += 4u;
+
+          /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+          acc2 = __SMLADX(x0, c0, acc2);
+
+          /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+          acc3 = __SMLADX(x1, c0, acc3);
+
+        } while(--k);
+
+        /* For the next MAC operations, SIMD is not used   
+         * So, the 16 bit pointer if inputB, py is updated */
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        if(k == 1u)
+        {
+          /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+          /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLAD(x0, c0, acc0);
+          acc1 = __SMLAD(x1, c0, acc1);
+          acc2 = __SMLADX(x1, c0, acc2);
+          acc3 = __SMLADX(x3, c0, acc3);
+        }
+
+        if(k == 2u)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+          /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+		px += 2u;
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLADX(x0, c0, acc0);
+          acc1 = __SMLADX(x1, c0, acc1);
+          acc2 = __SMLADX(x3, c0, acc2);
+          acc3 = __SMLADX(x2, c0, acc3);
+        }
+
+        if(k == 3u)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+          /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+          /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLADX(x0, c0, acc0);
+          acc1 = __SMLADX(x1, c0, acc1);
+          acc2 = __SMLADX(x3, c0, acc2);
+          acc3 = __SMLADX(x2, c0, acc3);
+
+		c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+          /* Read x[10] */
+        x3 =  _SIMD32_OFFSET(px+2);
+		px += 3u;
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLADX(x1, c0, acc0);
+          acc1 = __SMLAD(x2, c0, acc1);
+          acc2 = __SMLADX(x2, c0, acc2);
+          acc3 = __SMLADX(x3, c0, acc3);
+        }
+
+        /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *__SIMD32(pOut)++ = __PKHBT(acc0 >> 15, acc1 >> 15, 16);
+        *__SIMD32(pOut)++ = __PKHBT(acc2 >> 15, acc3 >> 15, 16);
+
+#else
+
+        *__SIMD32(pOut)++ = __PKHBT(acc1 >> 15, acc0 >> 15, 16);
+        *__SIMD32(pOut)++ = __PKHBT(acc3 >> 15, acc2 >> 15, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,   
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------   
+     * Initializations of stage3   
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+     * ....   
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+     * sum +=  x[srcALen-1] * y[srcBLen-1]   
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    pIn2 = pSrc2 - 1u;
+    py = pIn2;
+
+    /* -------------------   
+     * Stage3 process   
+     * ------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations greater than 4 */
+    /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    j = count >> 2u;
+
+    while((j > 0u) && (blockSize3 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
+         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
+         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD   
+       * So, py is incremented by 1 */
+      py = py + 1u;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pIn2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+      j--;
+    }
+
+    /* The second part of the stage starts here */
+    /* SIMD is not used for the next MAC operations,   
+     * so pointer py is updated to read only one sample at a time */
+    py = py + 1u;
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
+  arm_status status;                             /* status of Partial convolution */
+  q15_t a, b;
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >=srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds   
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = ((int32_t) check - blockSize3) -
+      (blockSize1 + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally   
+     * divided into three stages according to the number of multiplications that has to be   
+     * taken place between inputA samples and inputB samples. In the first stage of the   
+     * algorithm, the multiplications increase by one for every iteration.   
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+     * In the third stage of the algorithm, the multiplications decrease by one   
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex   
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------   
+     * Initializations of stage1   
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]   
+     * sum = x[0] * y[1] + x[1] * y[0]   
+     * ....   
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed.   
+       Since the partial convolution starts from firstIndex   
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------   
+     * Stage1 process   
+     * ----------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations less than 4 */
+    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+    /* The first part of the stage starts here */
+  while((count < 4u) && (blockSize1 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over number of MAC operations between   
+       * inputA samples and inputB samples */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+      sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* The second part of the stage starts here */
+    /* The internal loop, over count, is unrolled by 4 */
+    /* To, read the last two inputB samples using SIMD:   
+     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+    py = py - 1;
+
+  while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+	py++;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+      sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2 - 1u;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------   
+     * Initializations of stage2   
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+     * ....   
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is the index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+
+    /* --------------------   
+     * Stage2 process   
+     * -------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+     * So, to loop unroll over blockSize2,   
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blockSize2, by 4 */
+      blkCnt = ((uint32_t) blockSize2 >> 2u);
+
+      while(blkCnt > 0u)
+      {
+      py = py - 1u;
+
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+      /* read x[0], x[1] samples */
+	  a = *px++;
+	  b = *px++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x0 = __PKHBT(a, b, 16);
+	  a = *px;
+	  x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  x0 = __PKHBT(b, a, 16);
+	  a = *px;
+	  x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:   
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+		a = *py;
+		b = *(py+1);
+		py -= 2;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLADX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLADX(x1, c0, acc1);
+
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x2 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x3 = __PKHBT(b, a, 16);
+
+#else
+
+	  x2 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x3 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLADX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLADX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+		a = *py;
+		b = *(py+1);
+		py -= 2;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLADX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLADX(x3, c0, acc1);
+
+        /* Read x[4], x[5], x[6] */
+	  a = *(px + 2);
+	  b = *(px + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x0 = __PKHBT(a, b, 16);
+	  a = *(px + 4);
+	  x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  x0 = __PKHBT(b, a, 16);
+	  a = *(px + 4);
+	  x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLADX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLADX(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+		a = *px;
+		b = *(px+1);
+		px++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		x3 = __PKHBT(a, b, 16);
+
+#else
+
+ 		x3 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+		a = *py;
+		b = *(py+1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Read x[7], x[8], x[9] */
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x3 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  x3 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+		a = *py;
+		b = *(py+1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		c0 = __PKHBT(a, b, 16);
+
+#else
+
+ 		c0 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Read x[7], x[8], x[9] */
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+	  x3 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  x3 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	   */
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+
+        /* Read y[srcBLen - 7] */
+		c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+		a = *(px+2);
+		b = *(px+3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+		x3 = __PKHBT(a, b, 16);
+
+#else
+
+ 		x3 = __PKHBT(b, a, 16);;
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the results in the accumulators in the destination buffer. */
+	  *pOut++ = (q15_t)(acc0 >> 15);
+	  *pOut++ = (q15_t)(acc1 >> 15);
+	  *pOut++ = (q15_t)(acc2 >> 15);
+	  *pOut++ = (q15_t)(acc3 >> 15);
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,   
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------   
+     * Initializations of stage3   
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+     * ....   
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+     * sum +=  x[srcALen-1] * y[srcBLen-1]   
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    pIn2 = pSrc2 - 1u;
+    py = pIn2;
+
+    /* -------------------   
+     * Stage3 process   
+     * ------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations greater than 4 */
+    /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    j = count >> 2u;
+
+    while((j > 0u) && (blockSize3 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+	py++;
+
+    while(k > 0u)
+    {	
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+        sum += ((q31_t) * px++ * *py--);
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pIn2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+      j--;
+    }
+
+    /* The second part of the stage starts here */
+    /* SIMD is not used for the next MAC operations,   
+     * so pointer py is updated to read only one sample at a time */
+    py = py + 1u;
+
+  while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#endif /*     #ifndef UNALIGNED_SUPPORT_DISABLE      */
+}
+
+/**   
+ * @} end of PartialConv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
new file mode 100644
index 0000000..46ef94d
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
@@ -0,0 +1,611 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_fast_q31.c    
+*    
+* Description:	Fast Q31 Partial convolution.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ *    
+ * \par    
+ * See <code>arm_conv_partial_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
+ */
+
+arm_status arm_conv_partial_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+  q31_t *pIn1;                                   /* inputA pointer               */
+  q31_t *pIn2;                                   /* inputB pointer               */
+  q31_t *pOut = pDst;                            /* output pointer               */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q31_t x0, x1, x2, x3, c0;
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counters                 */
+  arm_status status;                             /* status of Partial convolution */
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds    
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
+                                    (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally    
+     * divided into three stages according to the number of multiplications that has to be    
+     * taken place between inputA samples and inputB samples. In the first stage of the    
+     * algorithm, the multiplications increase by one for every iteration.    
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+     * In the third stage of the algorithm, the multiplications decrease by one    
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex    
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------    
+     * Initializations of stage1    
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]    
+     * sum = x[0] * y[1] + x[1] * y[0]    
+     * ....    
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.    
+       The count variable holds the number of MAC operations performed.    
+       Since the partial convolution starts from firstIndex    
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------    
+     * Stage1 process    
+     * ----------------------*/
+
+    /* The first loop starts here */
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* x[1] * y[srcBLen - 2] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* x[2] * y[srcBLen - 3] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* x[3] * y[srcBLen - 4] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------    
+     * Initializations of stage2    
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+     * ....    
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+    /* -------------------    
+     * Stage2 process    
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+     * So, to loop unroll over blockSize2,    
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blockSize2 */
+      blkCnt = ((uint32_t) blockSize2 >> 2u);
+
+      while(blkCnt > 0u)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *(px++);
+        x1 = *(px++);
+        x2 = *(px++);
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *(py--);
+
+          /* Read x[3] sample */
+          x3 = *(px++);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+          /* acc3 +=  x[3] * y[srcBLen - 1] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *(py--);
+
+          /* Read x[4] sample */
+          x0 = *(px++);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc3 +=  x[4] * y[srcBLen - 2] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *(py--);
+
+          /* Read x[5] sample */
+          x1 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc3 +=  x[5] * y[srcBLen - 2] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+          /* Read y[srcBLen - 4] sample */
+          c0 = *(py--);
+
+          /* Read x[6] sample */
+          x2 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[3] * y[srcBLen - 4] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc1 +=  x[4] * y[srcBLen - 4] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc2 +=  x[5] * y[srcBLen - 4] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc3 +=  x[6] * y[srcBLen - 4] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+        } while(--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *(py--);
+
+          /* Read x[7] sample */
+          x3 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (acc0 << 1);
+        *pOut++ = (q31_t) (acc1 << 1);
+        *pOut++ = (q31_t) (acc2 << 1);
+        *pOut++ = (q31_t) (acc3 << 1);
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum << 1;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,    
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum << 1;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------    
+     * Initializations of stage3    
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+     * ....    
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+     * sum +=  x[srcALen-1] * y[srcBLen-1]    
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.    
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* -------------------    
+     * Stage3 process    
+     * ------------------*/
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py--))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+}
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
new file mode 100644
index 0000000..0734938
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
@@ -0,0 +1,765 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_opt_q15.c    
+*    
+* Description:	Partial convolution of Q15 sequences.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of Q15 sequences.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @param[in]       *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
+ * @param[in]       *pScratch2 points to scratch buffer of size min(srcALen, srcBLen).   
+ * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, state buffers should be aligned by 32-bit    
+ *    
+ * Refer to <code>arm_conv_partial_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
+ *  
+ * 
+ */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+arm_status arm_conv_partial_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+  q31_t y1, y2;                                  /* State variables */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  arm_status status;                             /* Status variable */
+  uint32_t tapCnt;                               /* loop count */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+    /* Copy (srcALen) samples in scratch buffer */
+    arm_copy_q15(pIn1, pScr1, srcALen);
+
+    /* Update pointers */
+    pScr1 += srcALen;
+
+    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = *__SIMD32(pScr1)++;
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = *__SIMD32(pScr1)++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read four samples from smaller buffer */
+        y1 = _SIMD32_OFFSET(pIn2);
+        y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+        /* multiply and accumlate */
+        acc0 = __SMLALD(x1, y1, acc0);
+        acc2 = __SMLALD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLALDX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = _SIMD32_OFFSET(pScr1);
+
+        /* multiply and accumlate */
+        acc0 = __SMLALD(x2, y2, acc0);
+        acc2 = __SMLALD(x1, y2, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLALDX(x3, y1, acc3);
+        acc1 = __SMLALDX(x3, y2, acc1);
+
+        x2 = _SIMD32_OFFSET(pScr1 + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        acc3 = __SMLALDX(x3, y2, acc3);
+
+        /* update scratch pointers */
+        pIn2 += 4u;
+        pScr1 += 4u;
+
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+
+    blkCnt = numPoints & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = *__SIMD32(pScr1)++;
+
+        /* Read two samples from smaller buffer */
+        y1 = *__SIMD32(pIn2)++;
+
+        acc0 = __SMLALD(x1, y1, acc0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1u;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+#else
+
+arm_status arm_conv_partial_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pOut = pDst;                            /* output pointer */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  uint32_t j, k, blkCnt;                         /* loop counter */
+  arm_status status;                             /* Status variable */
+  uint32_t tapCnt;                               /* loop count */
+  q15_t x10, x11, x20, x21;                      /* Temporary variables to hold srcA buffer */
+  q15_t y10, y11;                                /* Temporary variables to hold srcB buffer */
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcALen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+      *pScr1++ = *pIn1++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcALen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr1++ = *pIn1++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = (srcBLen - 1u) >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = (srcBLen - 1u) % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x10 = *pScr1++;
+      x11 = *pScr1++;
+
+      /* Read next two samples from scratch1 buffer */
+      x20 = *pScr1++;
+      x21 = *pScr1++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read two samples from smaller buffer */
+        y10 = *pIn2;
+        y11 = *(pIn2 + 1u);
+
+        /* multiply and accumlate */
+        acc0 += (q63_t) x10 *y10;
+        acc0 += (q63_t) x11 *y11;
+        acc2 += (q63_t) x20 *y10;
+        acc2 += (q63_t) x21 *y11;
+
+        /* multiply and accumlate */
+        acc1 += (q63_t) x11 *y10;
+        acc1 += (q63_t) x20 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1;
+        x11 = *(pScr1 + 1u);
+
+        /* multiply and accumlate */
+        acc3 += (q63_t) x21 *y10;
+        acc3 += (q63_t) x10 *y11;
+
+        /* Read next two samples from scratch2 buffer */
+        y10 = *(pIn2 + 2u);
+        y11 = *(pIn2 + 3u);
+
+        /* multiply and accumlate */
+        acc0 += (q63_t) x20 *y10;
+        acc0 += (q63_t) x21 *y11;
+        acc2 += (q63_t) x10 *y10;
+        acc2 += (q63_t) x11 *y11;
+        acc1 += (q63_t) x21 *y10;
+        acc1 += (q63_t) x10 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x20 = *(pScr1 + 2);
+        x21 = *(pScr1 + 3);
+
+        /* multiply and accumlate */
+        acc3 += (q63_t) x11 *y10;
+        acc3 += (q63_t) x20 *y11;
+
+        /* update scratch pointers */
+        pIn2 += 4u;
+        pScr1 += 4u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+      *pOut++ = __SSAT((acc0 >> 15), 16);
+      *pOut++ = __SSAT((acc1 >> 15), 16);
+      *pOut++ = __SSAT((acc2 >> 15), 16);
+      *pOut++ = __SSAT((acc3 >> 15), 16);
+
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+
+    blkCnt = numPoints & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1++;
+        x11 = *pScr1++;
+
+        /* Read two samples from smaller buffer */
+        y10 = *pIn2++;
+        y11 = *pIn2++;
+
+        /* multiply and accumlate */
+        acc0 += (q63_t) x10 *y10;
+        acc0 += (q63_t) x11 *y11;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1u;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
new file mode 100644
index 0000000..e8fcce5
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
@@ -0,0 +1,803 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_opt_q7.c    
+*    
+* Description:	Partial convolution of Q7 sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of Q7 sequences.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @param[in]      *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
+ * @param[in]      *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
+ * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit   
+ * 
+ *
+ * 
+ */
+
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+arm_status arm_conv_partial_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
+  q15_t x4;                                      /* Temporary input variable */
+  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
+  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
+  q7_t *px;                                      /* Temporary input1 pointer */
+  q15_t *py;                                     /* Temporary input2 pointer */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  q31_t x1, x2, x3, y1;                          /* Temporary input variables */
+  arm_status status;
+  q7_t *pOut = pDst;                             /* output pointer */
+  q7_t out0, out1, out2, out3;                   /* temporary variables */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2;
+
+    /* points to smaller length sequence */
+    px = pIn2 + srcBLen - 1;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy (srcALen) samples in scratch buffer */
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcALen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcALen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1u);
+
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = (q7_t *) py;
+
+    pScr2 = py;
+
+    pOut = pDst + firstIndex;
+
+    pScratch1 += firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = *__SIMD32(pScr1)++;
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = *__SIMD32(pScr1)++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read four samples from smaller buffer */
+        y1 = _SIMD32_OFFSET(pScr2);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x1, y1, acc0);
+        acc2 = __SMLAD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = *__SIMD32(pScr1)++;
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+
+        /* Read four samples from smaller buffer */
+        y1 = _SIMD32_OFFSET(pScr2 + 2u);
+
+        acc0 = __SMLAD(x2, y1, acc0);
+
+        acc2 = __SMLAD(x1, y1, acc2);
+
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        x2 = *__SIMD32(pScr1)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+
+        pScr2 += 4u;
+
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2);
+        acc1 += (*pScr1++ * *pScr2);
+        acc2 += (*pScr1++ * *pScr2);
+        acc3 += (*pScr1++ * *pScr2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      out0 = (q7_t) (__SSAT(acc0 >> 7u, 8));
+      out1 = (q7_t) (__SSAT(acc1 >> 7u, 8));
+      out2 = (q7_t) (__SSAT(acc2 >> 7u, 8));
+      out3 = (q7_t) (__SSAT(acc3 >> 7u, 8));
+
+      *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3);
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+    blkCnt = (numPoints) & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = *__SIMD32(pScr1)++;
+
+        /* Read two samples from smaller buffer */
+        y1 = *__SIMD32(pScr2)++;
+
+        acc0 = __SMLAD(x1, y1, acc0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 1u;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+
+  }
+
+  return (status);
+
+}
+
+#else
+
+arm_status arm_conv_partial_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+
+  q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
+  q15_t x4;                                      /* Temporary input variable */
+  q7_t *pIn1, *pIn2;                             /* inputA and inputB pointer */
+  uint32_t j, k, blkCnt, tapCnt;                 /* loop counter */
+  q7_t *px;                                      /* Temporary input1 pointer */
+  q15_t *py;                                     /* Temporary input2 pointer */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+  arm_status status;
+  q7_t *pOut = pDst;                             /* output pointer */
+  q15_t x10, x11, x20, x21;                      /* Temporary input variables */
+  q15_t y10, y11;                                /* Temporary input variables */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2;
+
+    /* points to smaller length sequence */
+    px = pIn2 + srcBLen - 1;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) * px--;
+      *pScr2++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1u) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1u);
+
+    /* Copy (srcALen) samples in scratch buffer */
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcALen >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = srcALen % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) * pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = (srcBLen - 1u) >> 2u;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.       
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.       
+     ** No loop unrolling is used. */
+    k = (srcBLen - 1u) % 0x4u;
+
+    while(k > 0u)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr1++ = 0;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = (q7_t *) py;
+
+    pScr2 = py;
+
+    pOut = pDst + firstIndex;
+
+    pScratch1 += firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x10 = *pScr1++;
+      x11 = *pScr1++;
+
+      /* Read next two samples from scratch1 buffer */
+      x20 = *pScr1++;
+      x21 = *pScr1++;
+
+      tapCnt = (srcBLen) >> 2u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read four samples from smaller buffer */
+        y10 = *pScr2;
+        y11 = *(pScr2 + 1u);
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x10 *y10;
+        acc0 += (q31_t) x11 *y11;
+        acc2 += (q31_t) x20 *y10;
+        acc2 += (q31_t) x21 *y11;
+
+
+        acc1 += (q31_t) x11 *y10;
+        acc1 += (q31_t) x20 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1;
+        x11 = *(pScr1 + 1u);
+
+        /* multiply and accumlate */
+        acc3 += (q31_t) x21 *y10;
+        acc3 += (q31_t) x10 *y11;
+
+        /* Read next two samples from scratch2 buffer */
+        y10 = *(pScr2 + 2u);
+        y11 = *(pScr2 + 3u);
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x20 *y10;
+        acc0 += (q31_t) x21 *y11;
+        acc2 += (q31_t) x10 *y10;
+        acc2 += (q31_t) x11 *y11;
+        acc1 += (q31_t) x21 *y10;
+        acc1 += (q31_t) x10 *y11;
+
+        /* Read next two samples from scratch1 buffer */
+        x20 = *(pScr1 + 2);
+        x21 = *(pScr1 + 3);
+
+        /* multiply and accumlate */
+        acc3 += (q31_t) x11 *y10;
+        acc3 += (q31_t) x20 *y11;
+
+        /* update scratch pointers */
+
+        pScr1 += 4u;
+        pScr2 += 4u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4u;
+
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2);
+        acc1 += (*pScr1++ * *pScr2);
+        acc2 += (*pScr1++ * *pScr2);
+        acc3 += (*pScr1++ * *pScr2++);
+
+        pScr1 -= 3u;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 4u;
+
+    }
+
+    blkCnt = (numPoints) & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while(blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x10 = *pScr1++;
+        x11 = *pScr1++;
+
+        /* Read two samples from smaller buffer */
+        y10 = *pScr2++;
+        y11 = *pScr2++;
+
+        /* multiply and accumlate */
+        acc0 += (q31_t) x10 *y10;
+        acc0 += (q31_t) x11 *y11;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1u;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while(tapCnt > 0u)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2++);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 1u;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+  }
+
+  return (status);
+
+}
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
new file mode 100644
index 0000000..c297989
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q15.c
@@ -0,0 +1,786 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_partial_q15.c   
+*   
+* Description:	Partial convolution of Q15 sequences.  
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+* 
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup PartialConv   
+ * @{   
+ */
+
+/**   
+ * @brief Partial convolution of Q15 sequences.   
+ * @param[in]       *pSrcA points to the first input sequence.   
+ * @param[in]       srcALen length of the first input sequence.   
+ * @param[in]       *pSrcB points to the second input sequence.   
+ * @param[in]       srcBLen length of the second input sequence.   
+ * @param[out]      *pDst points to the location where the output result is written.   
+ * @param[in]       firstIndex is the first output sample to start with.   
+ * @param[in]       numPoints is the number of output points to be computed.   
+ * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
+ *   
+ * Refer to <code>arm_conv_partial_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.  
+ * 
+ * \par    
+ * Refer the function <code>arm_conv_partial_opt_q15()</code> for a faster implementation of this function using scratch buffers.
+ * 
+ */
+
+
+arm_status arm_conv_partial_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+
+#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables */
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds   
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
+                                    (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally   
+     * divided into three stages according to the number of multiplications that has to be   
+     * taken place between inputA samples and inputB samples. In the first stage of the   
+     * algorithm, the multiplications increase by one for every iteration.   
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+     * In the third stage of the algorithm, the multiplications decrease by one   
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex   
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------   
+     * Initializations of stage1   
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]   
+     * sum = x[0] * y[1] + x[1] * y[0]   
+     * ....   
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed.   
+       Since the partial convolution starts from firstIndex   
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------   
+     * Stage1 process   
+     * ----------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations less than 4 */
+    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    while((count < 4u) && (blockSize1 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over number of MAC operations between   
+       * inputA samples and inputB samples */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* The second part of the stage starts here */
+    /* The internal loop, over count, is unrolled by 4 */
+    /* To, read the last two inputB samples using SIMD:   
+     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+    py = py - 1;
+
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD   
+       * So, py is incremented by 1 */
+      py = py + 1u;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2 - 1u;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------   
+     * Initializations of stage2   
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+     * ....   
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+
+  /* --------------------   
+   * Stage2 process   
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      py = py - 1u;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+
+      /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+      /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px+1);
+	  px+= 2u;
+
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:   
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLALDX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLALDX(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+        /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px+1);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLALDX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLALDX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLALDX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLALDX(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px+2);
+
+        /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px+3);
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLALDX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLALDX(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALDX(x1, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+
+		c0 = *(py-1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+        x3 =  _SIMD32_OFFSET(px+2);
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x1, c0, acc0);
+        acc1 = __SMLALD(x2, c0, acc1);
+        acc2 = __SMLALDX(x2, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+  	  
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,   
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+  
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------   
+     * Initializations of stage3   
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+     * ....   
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+     * sum +=  x[srcALen-1] * y[srcBLen-1]   
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    pIn2 = pSrc2 - 1u;
+    py = pIn2;
+
+    /* -------------------   
+     * Stage3 process   
+     * ------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations greater than 4 */
+    /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    j = count >> 2u;
+
+    while((j > 0u) && (blockSize3 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
+         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
+         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD   
+       * So, py is incremented by 1 */
+      py = py + 1u;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pIn2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+      j--;
+    }
+
+    /* The second part of the stage starts here */
+    /* SIMD is not used for the next MAC operations,   
+     * so pointer py is updated to read only one sample at a time */
+    py = py + 1u;
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t *pIn1 = pSrcA;                           /* inputA pointer */
+  q15_t *pIn2 = pSrcB;                           /* inputB pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if(((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q31_t) pIn1[j] * (pIn2[i - j]));
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
+    }
+    /* set status as ARM_SUCCESS as there are no argument errors */
+    status = ARM_MATH_SUCCESS;
+  }
+  return (status);
+
+#endif /* #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)  */
+
+}
+
+/**   
+ * @} end of PartialConv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
new file mode 100644
index 0000000..98fc654
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q31.c
@@ -0,0 +1,607 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_partial_q31.c    
+*    
+* Description:	Partial convolution of Q31 sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup PartialConv    
+ * @{    
+ */
+
+/**    
+ * @brief Partial convolution of Q31 sequences.    
+ * @param[in]       *pSrcA points to the first input sequence.    
+ * @param[in]       srcALen length of the first input sequence.    
+ * @param[in]       *pSrcB points to the second input sequence.    
+ * @param[in]       srcBLen length of the second input sequence.    
+ * @param[out]      *pDst points to the location where the output result is written.    
+ * @param[in]       firstIndex is the first output sample to start with.    
+ * @param[in]       numPoints is the number of output points to be computed.    
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].    
+ *    
+ * See <code>arm_conv_partial_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ */
+
+arm_status arm_conv_partial_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t *pIn1;                                   /* inputA pointer               */
+  q31_t *pIn2;                                   /* inputB pointer               */
+  q31_t *pOut = pDst;                            /* output pointer               */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers        */
+  q63_t sum, acc0, acc1, acc2;                   /* Accumulator                  */
+  q31_t x0, x1, x2, c0;
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter                 */
+  arm_status status;                             /* status of Partial convolution */
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds    
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
+                                    (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally    
+     * divided into three stages according to the number of multiplications that has to be    
+     * taken place between inputA samples and inputB samples. In the first stage of the    
+     * algorithm, the multiplications increase by one for every iteration.    
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+     * In the third stage of the algorithm, the multiplications decrease by one    
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex    
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------    
+     * Initializations of stage1    
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]    
+     * sum = x[0] * y[1] + x[1] * y[0]    
+     * ....    
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.    
+       The count variable holds the number of MAC operations performed.    
+       Since the partial convolution starts from firstIndex    
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------    
+     * Stage1 process    
+     * ----------------------*/
+
+    /* The first loop starts here */
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum += (q63_t) * px++ * (*py--);
+        /* x[1] * y[srcBLen - 2] */
+        sum += (q63_t) * px++ * (*py--);
+        /* x[2] * y[srcBLen - 3] */
+        sum += (q63_t) * px++ * (*py--);
+        /* x[3] * y[srcBLen - 4] */
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------    
+     * Initializations of stage2    
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+     * ....    
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+    /* -------------------    
+     * Stage2 process    
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+     * So, to loop unroll over blockSize2,    
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blkCnt */
+
+      blkCnt = blockSize2 / 3;
+      while(blkCnt > 0u)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+
+        /* read x[0], x[1] samples */
+        x0 = *(px++);
+        x1 = *(px++);
+
+        /* Apply loop unrolling and compute 3 MACs simultaneously. */
+        k = srcBLen / 3;
+
+        /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
+         ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *(py);
+
+          /* Read x[2] sample */
+          x2 = *(px);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 += (q63_t) x0 *c0;
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 += (q63_t) x1 *c0;
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 += (q63_t) x2 *c0;
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *(py - 1u);
+
+          /* Read x[3] sample */
+          x0 = *(px + 1u);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 += (q63_t) x1 *c0;
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 += (q63_t) x2 *c0;
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 += (q63_t) x0 *c0;
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *(py - 2u);
+
+          /* Read x[4] sample */
+          x1 = *(px + 2u);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 += (q63_t) x2 *c0;
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 += (q63_t) x0 *c0;
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 += (q63_t) x1 *c0;
+
+
+          px += 3u;
+
+          py -= 3u;
+
+        } while(--k);
+
+        /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
+         ** No loop unrolling is used. */
+        k = srcBLen - (3 * (srcBLen / 3));
+
+        while(k > 0u)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *(py--);
+
+          /* Read x[7] sample */
+          x2 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += (q63_t) x0 *c0;
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += (q63_t) x1 *c0;
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += (q63_t) x2 *c0;
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (acc0 >> 31);
+        *pOut++ = (q31_t) (acc1 >> 31);
+        *pOut++ = (q31_t) (acc2 >> 31);
+
+        /* Increment the pointer pIn1 index, count by 3 */
+        count += 3u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
+       ** No loop unrolling is used. */
+      blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) * px++ * (*py--);
+          sum += (q63_t) * px++ * (*py--);
+          sum += (q63_t) * px++ * (*py--);
+          sum += (q63_t) * px++ * (*py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) * px++ * (*py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (sum >> 31);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,    
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) * px++ * (*py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (sum >> 31);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------    
+     * Initializations of stage3    
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+     * ....    
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+     * sum +=  x[srcALen-1] * y[srcBLen-1]    
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.    
+       The blockSize3 variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* -------------------    
+     * Stage3 process    
+     * ------------------*/
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t *pIn1 = pSrcA;                           /* inputA pointer */
+  q31_t *pIn2 = pSrcB;                           /* inputB pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if(((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q31_t) (sum >> 31u);
+    }
+    /* set status as ARM_SUCCESS as there are no argument errors */
+    status = ARM_MATH_SUCCESS;
+  }
+  return (status);
+
+#endif /*    #ifndef ARM_MATH_CM0_FAMILY      */
+
+}
+
+/**    
+ * @} end of PartialConv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
new file mode 100644
index 0000000..65eacea
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_partial_q7.c
@@ -0,0 +1,741 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_partial_q7.c   
+*   
+* Description:	Partial convolution of Q7 sequences.   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup PartialConv   
+ * @{   
+ */
+
+/**   
+ * @brief Partial convolution of Q7 sequences.   
+ * @param[in]       *pSrcA points to the first input sequence.   
+ * @param[in]       srcALen length of the first input sequence.   
+ * @param[in]       *pSrcB points to the second input sequence.   
+ * @param[in]       srcBLen length of the second input sequence.   
+ * @param[out]      *pDst points to the location where the output result is written.   
+ * @param[in]       firstIndex is the first output sample to start with.   
+ * @param[in]       numPoints is the number of output points to be computed.   
+ * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].   
+ *  
+ * \par    
+ * Refer the function <code>arm_conv_partial_opt_q7()</code> for a faster implementation of this function.
+ *  
+ */
+
+arm_status arm_conv_partial_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t *pIn1;                                    /* inputA pointer */
+  q7_t *pIn2;                                    /* inputB pointer */
+  q7_t *pOut = pDst;                             /* output pointer */
+  q7_t *px;                                      /* Intermediate inputA pointer */
+  q7_t *py;                                      /* Intermediate inputB pointer */
+  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q31_t input1, input2;
+  q15_t in1, in2;
+  q7_t x0, x1, x2, x3, c0, c1;
+  uint32_t j, k, count, check, blkCnt;
+  int32_t blockSize1, blockSize2, blockSize3;    /* loop counter */
+  arm_status status;
+
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if(srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds   
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex);
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 :
+                                     (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) +
+                                    (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally   
+     * divided into three stages according to the number of multiplications that has to be   
+     * taken place between inputA samples and inputB samples. In the first stage of the   
+     * algorithm, the multiplications increase by one for every iteration.   
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+     * In the third stage of the algorithm, the multiplications decrease by one   
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex   
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------   
+     * Initializations of stage1   
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]   
+     * sum = x[0] * y[1] + x[1] * y[0]   
+     * ....   
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed.   
+       Since the partial convolution starts from from firstIndex   
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1u + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------   
+     * Stage1 process   
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while(blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* x[0] , x[1] */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[srcBLen - 1] , y[srcBLen - 2] */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* x[0] * y[srcBLen - 1] */
+        /* x[1] * y[srcBLen - 2] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* x[2] , x[3] */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[srcBLen - 3] , y[srcBLen - 4] */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* x[2] * y[srcBLen - 3] */
+        /* x[3] * y[srcBLen - 4] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Decrement the loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------   
+     * Initializations of stage2   
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+     * ....   
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+     */
+
+    /* Working pointer of inputA */
+    if((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      px = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      px = pIn1;
+    }
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0u;
+
+    /* -------------------   
+     * Stage2 process   
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+     * So, to loop unroll over blockSize2,   
+     * srcBLen should be greater than or equal to 4 */
+    if(srcBLen >= 4u)
+    {
+      /* Loop unroll over blockSize2, by 4 */
+      blkCnt = ((uint32_t) blockSize2 >> 2u);
+
+      while(blkCnt > 0u)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *(px++);
+        x1 = *(px++);
+        x2 = *(px++);
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *(py--);
+          /* Read y[srcBLen - 2] sample */
+          c1 = *(py--);
+
+          /* Read x[3] sample */
+          x3 = *(px++);
+
+          /* x[0] and x[1] are packed */
+          in1 = (q15_t) x0;
+          in2 = (q15_t) x1;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
+          in1 = (q15_t) c0;
+          in2 = (q15_t) c1;
+
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
+          acc0 = __SMLAD(input1, input2, acc0);
+
+          /* x[1] and x[2] are packed */
+          in1 = (q15_t) x1;
+          in2 = (q15_t) x2;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
+          acc1 = __SMLAD(input1, input2, acc1);
+
+          /* x[2] and x[3] are packed */
+          in1 = (q15_t) x2;
+          in2 = (q15_t) x3;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
+          acc2 = __SMLAD(input1, input2, acc2);
+
+          /* Read x[4] sample */
+          x0 = *(px++);
+
+          /* x[3] and x[4] are packed */
+          in1 = (q15_t) x3;
+          in2 = (q15_t) x0;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
+          acc3 = __SMLAD(input1, input2, acc3);
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *(py--);
+          /* Read y[srcBLen - 4] sample */
+          c1 = *(py--);
+
+          /* Read x[5] sample */
+          x1 = *(px++);
+
+          /* x[2] and x[3] are packed */
+          in1 = (q15_t) x2;
+          in2 = (q15_t) x3;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+          in1 = (q15_t) c0;
+          in2 = (q15_t) c1;
+
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
+          acc0 = __SMLAD(input1, input2, acc0);
+
+          /* x[3] and x[4] are packed */
+          in1 = (q15_t) x3;
+          in2 = (q15_t) x0;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
+          acc1 = __SMLAD(input1, input2, acc1);
+
+          /* x[4] and x[5] are packed */
+          in1 = (q15_t) x0;
+          in2 = (q15_t) x1;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
+          acc2 = __SMLAD(input1, input2, acc2);
+
+          /* Read x[6] sample */
+          x2 = *(px++);
+
+          /* x[5] and x[6] are packed */
+          in1 = (q15_t) x1;
+          in2 = (q15_t) x2;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
+          acc3 = __SMLAD(input1, input2, acc3);
+
+        } while(--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *(py--);
+
+          /* Read x[7] sample */
+          x3 = *(px++);
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += ((q31_t) x0 * c0);
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += ((q31_t) x1 * c0);
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += ((q31_t) x2 * c0);
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 += ((q31_t) x3 * c0);
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4u;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+       ** No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2u;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while(k > 0u)
+        {
+
+          /* Reading two inputs of SrcA buffer and packing */
+          in1 = (q15_t) * px++;
+          in2 = (q15_t) * px++;
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Reading two inputs of SrcB buffer and packing */
+          in1 = (q15_t) * py--;
+          in2 = (q15_t) * py--;
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Perform the multiply-accumulates */
+          sum = __SMLAD(input1, input2, sum);
+
+          /* Reading two inputs of SrcA buffer and packing */
+          in1 = (q15_t) * px++;
+          in2 = (q15_t) * px++;
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Reading two inputs of SrcB buffer and packing */
+          in1 = (q15_t) * py--;
+          in2 = (q15_t) * py--;
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Perform the multiply-accumulates */
+          sum = __SMLAD(input1, input2, sum);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4u;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+        /* Increment the pointer pIn1 index, count by 1 */
+ 	    count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+      	px = pIn1 + count;
+        py = pSrc2;	
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,   
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while(blkCnt > 0u)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while(k > 0u)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pIn1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------   
+     * Initializations of stage3   
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+     * ....   
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+     * sum +=  x[srcALen-1] * y[srcBLen-1]   
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.   
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1u;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1u);
+    py = pSrc2;
+
+    /* -------------------   
+     * Stage3 process   
+     * ------------------*/
+
+    while(blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = count % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
+  q7_t *pIn2 = pSrcB;                            /* inputB pointer */
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+  arm_status status;                             /* status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u))))
+  {
+    /* Set status as ARM_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if(((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
+    }
+    /* set status as ARM_SUCCESS as there are no argument errors */
+    status = ARM_MATH_SUCCESS;
+  }
+  return (status);
+
+#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**   
+ * @} end of PartialConv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
new file mode 100644
index 0000000..a3c3774
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_q15.c
@@ -0,0 +1,734 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_q15.c   
+*   
+* Description:	Convolution of Q15 sequences.     
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Conv   
+ * @{   
+ */
+
+/**   
+ * @brief Convolution of Q15 sequences.   
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
+ * @return none.   
+ *   
+ * @details   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * The function is implemented using a 64-bit internal accumulator.   
+ * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
+ * This approach provides 33 guard bits and there is no risk of overflow.   
+ * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
+ *   
+ * \par   
+ * Refer to <code>arm_conv_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
+ *
+ * \par    
+ * Refer the function <code>arm_conv_opt_q15()</code> for a faster implementation of this function using scratch buffers.
+ *  
+ */
+
+void arm_conv_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+
+#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t *pIn1;                                   /* inputA pointer */
+  q15_t *pIn2;                                   /* inputB pointer */
+  q15_t *pOut = pDst;                            /* output pointer */
+  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+  uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt;     /* loop counter */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally   
+   * divided into three stages according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first stage of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+   * In the third stage of the algorithm, the multiplications decrease by one   
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.   
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]   
+   * sum = x[0] * y[1] + x[1] * y[0]   
+   * ....   
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations less than 4 */
+  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  while((count < 4u) && (blockSize1 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Loop over number of MAC operations between   
+     * inputA samples and inputB samples */
+    k = count;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* The second part of the stage starts here */
+  /* The internal loop, over count, is unrolled by 4 */
+  /* To, read the last two inputB samples using SIMD:   
+   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+  py = py - 1;
+
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD   
+     * So, py is incremented by 1 */
+    py = py + 1u;
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + (count - 1u);
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+
+  /* --------------------   
+   * Stage2 process   
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      py = py - 1u;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+
+      /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+      /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px+1);
+	  px+= 2u;
+
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:   
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLALDX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLALDX(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+        /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px+1);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLALDX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLALDX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = *__SIMD32(py)--;
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLALDX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLALDX(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px+2);
+
+        /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px+3);
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLALDX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLALDX(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+        /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALDX(x1, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = _SIMD32_OFFSET(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px+1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+
+		c0 = *(py-1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+        /* Read x[10] */
+        x3 =  _SIMD32_OFFSET(px+2);
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x1, c0, acc0);
+        acc1 = __SMLALD(x2, c0, acc1);
+        acc2 = __SMLALDX(x2, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+
+      /* Store the results in the accumulators in the destination buffer. */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+      *__SIMD32(pOut)++ =
+        __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+       /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) ((q31_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+   * sum +=  x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  blockSize3 = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  pIn2 = pSrc2 - 1u;
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations greater than 4 */
+  /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  j = blockSize3 >> 2u;
+
+  while((j > 0u) && (blockSize3 > 0u))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied   
+       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied   
+       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD   
+     * So, py is incremented by 1 */
+    py = py + 1u;
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+
+    j--;
+  }
+
+  /* The second part of the stage starts here */
+  /* SIMD is not used for the next MAC operations,   
+   * so pointer py is updated to read only one sample at a time */
+  py = py + 1u;
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  q15_t *pIn1 = pSrcA;                           /* input pointer */
+  q15_t *pIn2 = pSrcB;                           /* coefficient pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < (srcALen + srcBLen - 1); i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if(((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q31_t) pIn1[j] * (pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u);
+  }
+
+#endif /*  #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)*/
+
+}
+
+/**   
+ * @} end of Conv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
new file mode 100644
index 0000000..c108bed
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_q31.c
@@ -0,0 +1,565 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_conv_q31.c    
+*    
+* Description:	Convolution of Q31 sequences.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Conv    
+ * @{    
+ */
+
+/**    
+ * @brief Convolution of Q31 sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * There is no saturation on intermediate additions.    
+ * Thus, if the accumulator overflows it wraps around and distorts the result.    
+ * The input signals should be scaled down to avoid intermediate overflows.    
+ * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,    
+ * as maximum of min(srcALen, srcBLen) number of additions are carried internally.    
+ * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
+ *    
+ * \par    
+ * See <code>arm_conv_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_conv_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t *pIn1;                                   /* inputA pointer */
+  q31_t *pIn2;                                   /* inputB pointer */
+  q31_t *pOut = pDst;                            /* output pointer */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+  q63_t sum;                                     /* Accumulator */
+  q63_t acc0, acc1, acc2;                        /* Accumulator */
+  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
+  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (q31_t *) pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = (q31_t *) pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally    
+   * divided into three stages according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first stage of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.    
+   * In the third stage of the algorithm, the multiplications decrease by one    
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.    
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * Initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]    
+   * sum = x[0] * y[1] + x[1] * y[0]    
+   * ....    
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q63_t) * px++ * (*py--);
+      /* x[1] * y[srcBLen - 2] */
+      sum += (q63_t) * px++ * (*py--);
+      /* x[2] * y[srcBLen - 3] */
+      sum += (q63_t) * px++ * (*py--);
+      /* x[3] * y[srcBLen - 4] */
+      sum += (q63_t) * px++ * (*py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (q63_t) * px++ * (*py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q31_t) (sum >> 31);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]    
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll by 3 */
+    blkCnt = blockSize2 / 3;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+
+      /* Apply loop unrolling and compute 3 MACs simultaneously. */
+      k = srcBLen / 3;
+
+      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
+       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *(py);
+
+        /* Read x[3] sample */
+        x2 = *(px);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *(py - 1u);
+
+        /* Read x[4] sample */
+        x0 = *(px + 1u);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 += ((q63_t) x1 * c0);
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 += ((q63_t) x2 * c0);
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 += ((q63_t) x0 * c0);
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *(py - 2u);
+
+        /* Read x[5] sample */
+        x1 = *(px + 2u);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 += ((q63_t) x2 * c0);
+        /* acc1 +=  x[3] * y[srcBLen - 2] */
+        acc1 += ((q63_t) x0 * c0);
+        /* acc2 +=  x[4] * y[srcBLen - 2] */
+        acc2 += ((q63_t) x1 * c0);
+
+        /* update scratch pointers */
+        px += 3u;
+        py -= 3u;
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
+       ** No loop unrolling is used. */
+      k = srcBLen - (3 * (srcBLen / 3));
+
+      while(k > 0u)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py--);
+
+        /* Read x[7] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the results in the accumulators in the destination buffer. */
+      *pOut++ = (q31_t) (acc0 >> 31);
+      *pOut++ = (q31_t) (acc1 >> 31);
+      *pOut++ = (q31_t) (acc2 >> 31);
+
+      /* Increment the pointer pIn1 index, count by 3 */
+      count += 3u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]    
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]    
+   * sum +=  x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum += (q63_t) * px++ * (*py--);
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum += (q63_t) * px++ * (*py--);
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum += (q63_t) * px++ * (*py--);
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum += (q63_t) * px++ * (*py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (q63_t) * px++ * (*py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q31_t) (sum >> 31);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t *pIn1 = pSrcA;                           /* input pointer */
+  q31_t *pIn2 = pSrcB;                           /* coefficient pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < (srcALen + srcBLen - 1); i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if(((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q63_t) pIn1[j] * (pIn2[i - j]));
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q31_t) (sum >> 31u);
+  }
+
+#endif /*     #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of Conv group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
new file mode 100644
index 0000000..12a0055
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_conv_q7.c
@@ -0,0 +1,690 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_conv_q7.c   
+*   
+* Description:	Convolution of Q7 sequences. 
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Conv   
+ * @{   
+ */
+
+/**   
+ * @brief Convolution of Q7 sequences.   
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length srcALen+srcBLen-1.   
+ * @return none.   
+ *   
+ * @details   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * The function is implemented using a 32-bit internal accumulator.   
+ * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
+ * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.   
+ * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.   
+ *
+ * \par    
+ * Refer the function <code>arm_conv_opt_q7()</code> for a faster implementation of this function.
+ * 
+ */
+
+void arm_conv_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t *pIn1;                                    /* inputA pointer */
+  q7_t *pIn2;                                    /* inputB pointer */
+  q7_t *pOut = pDst;                             /* output pointer */
+  q7_t *px;                                      /* Intermediate inputA pointer */
+  q7_t *py;                                      /* Intermediate inputB pointer */
+  q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
+  q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables to hold state and coefficient values */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  q31_t input1, input2;                          /* Temporary input variables */
+  q15_t in1, in2;                                /* Temporary input variables */
+  uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3;     /* loop counter */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally   
+   * divided into three stages according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first stage of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.   
+   * In the third stage of the algorithm, the multiplications decrease by one   
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.   
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = (srcALen - srcBLen) + 1u;
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]   
+   * sum = x[0] * y[1] + x[1] * y[0]   
+   * ....   
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] , x[1] */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* y[srcBLen - 1] , y[srcBLen - 2] */
+      in1 = (q15_t) * py--;
+      in2 = (q15_t) * py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* x[0] * y[srcBLen - 1] */
+      /* x[1] * y[srcBLen - 2] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[2] , x[3] */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* y[srcBLen - 3] , y[srcBLen - 4] */
+      in1 = (q15_t) * py--;
+      in2 = (q15_t) * py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* x[2] * y[srcBLen - 3] */
+      /* x[3] * y[srcBLen - 4] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += ((q15_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]   
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------   
+   * Stage2 process   
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+      x2 = *(px++);
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *(py--);
+        /* Read y[srcBLen - 2] sample */
+        c1 = *(py--);
+
+        /* Read x[3] sample */
+        x3 = *(px++);
+
+        /* x[0] and x[1] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[1] and x[2] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *(py--);
+        /* Read y[srcBLen - 4] sample */
+        c1 = *(py--);
+
+        /* Read x[5] sample */
+        x1 = *(px++);
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[4] and x[5] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[6] sample */
+        x2 = *(px++);
+
+        /* x[5] and x[6] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py--);
+
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += ((q15_t) x0 * c0);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += ((q15_t) x1 * c0);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += ((q15_t) x2 * c0);
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 += ((q15_t) x3 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8));
+      *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8));
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) * py--;
+        in2 = (q15_t) * py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q15_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) * px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]   
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]   
+   * sum +=  x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1u);
+  py = pSrc2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+      in1 = (q15_t) * py--;
+      in2 = (q15_t) * py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+      in1 = (q15_t) * py--;
+      in2 = (q15_t) * py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += ((q15_t) * px++ * *py--);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q7_t *pIn1 = pSrcA;                            /* input pointer */
+  q7_t *pIn2 = pSrcB;                            /* coefficient pointer */
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < (srcALen + srcBLen - 1); i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if(((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q15_t) pIn1[j] * (pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u);
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
+
+}
+
+/**   
+ * @} end of Conv group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
new file mode 100644
index 0000000..6a8127b
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_f32.c
@@ -0,0 +1,739 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_f32.c    
+*    
+* Description:	 Correlation of floating-point sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup Corr Correlation    
+ *    
+ * Correlation is a mathematical operation that is similar to convolution.    
+ * As with convolution, correlation uses two signals to produce a third signal.    
+ * The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.    
+ * Correlation is commonly used to measure the similarity between two signals.    
+ * It has applications in pattern recognition, cryptanalysis, and searching.    
+ * The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.    
+ * Fast versions of the Q15 and Q31 functions are also provided.    
+ *    
+ * \par Algorithm    
+ * Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively.    
+ * The convolution of the two signals is denoted by    
+ * <pre>    
+ *                   c[n] = a[n] * b[n]    
+ * </pre>    
+ * In correlation, one of the signals is flipped in time    
+ * <pre>    
+ *                   c[n] = a[n] * b[-n]    
+ * </pre>    
+ *    
+ * \par    
+ * and this is mathematically defined as    
+ * \image html CorrelateEquation.gif    
+ * \par    
+ * The <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>.    
+ * The result <code>c[n]</code> is of length <code>2 * max(srcALen, srcBLen) - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2)</code>.    
+ * The output result is written to <code>pDst</code> and the calling function must allocate <code>2 * max(srcALen, srcBLen) - 1</code> words for the result.    
+ *    
+ * <b>Note</b>   
+ * \par  
+ * The <code>pDst</code> should be initialized to all zeros before being used.  
+ *  
+ * <b>Fixed-Point Behavior</b>    
+ * \par    
+ * Correlation requires summing up a large number of intermediate products.    
+ * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.    
+ * Refer to the function specific documentation below for further details of the particular algorithm used.    
+ *
+ *
+ * <b>Fast Versions</b>
+ *
+ * \par 
+ * Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
+ * the input signals should be scaled down to avoid intermediate overflows.   
+ *
+ *
+ * <b>Opt Versions</b>
+ *
+ * \par 
+ * Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
+ * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate 
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+/**    
+ * @brief Correlation of floating-point sequences.    
+ * @param[in]  *pSrcA points to the first input sequence.    
+ * @param[in]  srcALen length of the first input sequence.    
+ * @param[in]  *pSrcB points to the second input sequence.    
+ * @param[in]  srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @return none.    
+ */
+
+void arm_correlate_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t *pIn1;                               /* inputA pointer */
+  float32_t *pIn2;                               /* inputB pointer */
+  float32_t *pOut = pDst;                        /* output pointer */
+  float32_t *px;                                 /* Intermediate inputA pointer */
+  float32_t *py;                                 /* Intermediate inputB pointer */
+  float32_t *pSrc1;                              /* Intermediate pointers */
+  float32_t sum, acc0, acc1, acc2, acc3;         /* Accumulators */
+  float32_t x0, x1, x2, x3, c0;                  /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counters */
+  int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,    
+   * we assume zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,    
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,    
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding has to be done to srcB    
+     * to make their lengths equal.    
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+    //while(j > 0u)   
+    //{   
+    //  /* Zero is stored in the destination buffer */   
+    //  *pOut++ = 0.0f;   
+
+    //  /* Decrement the loop counter */   
+    //  j--;   
+    //}   
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally    
+   * divided into three parts according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first part of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second part of the algorithm, srcBLen number of multiplications are done.    
+   * In the third part of the algorithm, the multiplications decrease by one    
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.    
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * Initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]    
+   * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]    
+   * ....    
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum += *px++ * *py++;
+      /* x[1] * y[srcBLen - 3] */
+      sum += *px++ * *py++;
+      /* x[2] * y[srcBLen - 2] */
+      sum += *px++ * *py++;
+      /* x[3] * y[srcBLen - 1] */
+      sum += *px++ * *py++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum += *px++ * *py++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+      x2 = *(px++);
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *(py++);
+
+        /* Read x[3] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[1] * y[0] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[2] * y[0] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[3] * y[0] */
+        acc3 += x3 * c0;
+
+        /* Read y[1] sample */
+        c0 = *(py++);
+
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 += x1 * c0;
+        /* acc1 +=  x[2] * y[1] */
+        acc1 += x2 * c0;
+        /* acc2 +=  x[3] * y[1] */
+        acc2 += x3 * c0;
+        /* acc3 +=  x[4] * y[1] */
+        acc3 += x0 * c0;
+
+        /* Read y[2] sample */
+        c0 = *(py++);
+
+        /* Read x[5] sample */
+        x1 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 += x2 * c0;
+        /* acc1 +=  x[3] * y[2] */
+        acc1 += x3 * c0;
+        /* acc2 +=  x[4] * y[2] */
+        acc2 += x0 * c0;
+        /* acc3 +=  x[5] * y[2] */
+        acc3 += x1 * c0;
+
+        /* Read y[3] sample */
+        c0 = *(py++);
+
+        /* Read x[6] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[3] */
+        acc0 += x3 * c0;
+        /* acc1 +=  x[4] * y[3] */
+        acc1 += x0 * c0;
+        /* acc2 +=  x[5] * y[3] */
+        acc2 += x1 * c0;
+        /* acc3 +=  x[6] * y[3] */
+        acc3 += x2 * c0;
+
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[4] sample */
+        c0 = *(py++);
+
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[7] * y[4] */
+        acc3 += x3 * c0;
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = acc0;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = acc1;
+      pOut += inc;
+
+      *pOut = acc2;
+      pOut += inc;
+
+      *pOut = acc3;
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
+   * sum +=  x[srcALen-1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum += *px++ * *py++;
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum += *px++ * *py++;
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum += *px++ * *py++;
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum += *px++ * *py++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += *px++ * *py++;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t *pIn1 = pSrcA;                       /* inputA pointer */
+  float32_t *pIn2 = pSrcB + (srcBLen - 1u);      /* inputB pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint32_t i = 0u, j;                            /* loop counters */
+  uint32_t inv = 0u;                             /* Reverse order flag */
+  uint32_t tot = 0u;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two    
+   * inputs of same length. But to improve the performance, we assume zeroes    
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted   
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2u);
+
+  if(srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if(srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1u);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0u; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0u; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += pIn1[j] * pIn2[-((int32_t) i - j)];
+      }
+    }
+    /* Store the output in the destination buffer */
+    if(inv == 1)
+      *pDst-- = sum;
+    else
+      *pDst++ = sum;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
new file mode 100644
index 0000000..7aa289f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
@@ -0,0 +1,512 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_fast_opt_q15.c    
+*    
+* Description:	Fast Q15 Correlation.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+
+/**    
+ * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.   
+ * @return none.    
+ *    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch buffers should be aligned by 32-bit    
+ *    
+ *     
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This fast version uses a 32-bit accumulator with 2.30 format.    
+ * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * There is no saturation on intermediate additions.    
+ * Thus, if the accumulator overflows it wraps around and distorts the result.    
+ * The input signals should be scaled down to avoid intermediate overflows.    
+ * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a    
+ * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
+ * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.    
+ *    
+ * \par    
+ * See <code>arm_correlate_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.    
+ */
+
+void arm_correlate_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch)
+{
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t x1, x2, x3;                              /* temporary variables for holding input and coefficient values */
+  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+  uint32_t tapCnt;
+  q31_t y1, y2;
+  q15_t *pScr;                                   /* Intermediate pointers        */
+  q15_t *pOut = pDst;                            /* output pointer               */
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t a, b;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,        
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB        
+     * to make their lengths equal.        
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  pScr = pScratch;
+
+  /* Fill (srcBLen - 1u) zeros in scratch buffer */
+  arm_fill_q15(0, pScr, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr += (srcBLen - 1u);
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr, srcALen);
+
+  /* Update pointers */
+  pScr += srcALen;
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  j = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  j = srcALen % 0x4u;
+
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr += (srcBLen - 1u);
+
+#else
+
+/* Apply loop unrolling and do 4 Copies simultaneously. */
+  j = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr++ = 0;
+    *pScr++ = 0;
+    *pScr++ = 0;
+    *pScr++ = 0;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  j = (srcBLen - 1u) % 0x4u;
+
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr++ = 0;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* Temporary pointer for scratch2 */
+  py = pIn2;
+
+
+  /* Actual correlation process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read four samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr)++;
+
+    /* Read next four samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pIn2);
+      y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+      acc0 = __SMLAD(x1, y1, acc0);
+
+      acc2 = __SMLAD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      x1 = _SIMD32_OFFSET(pScr);
+
+      acc0 = __SMLAD(x2, y2, acc0);
+
+      acc2 = __SMLAD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      acc1 = __SMLADX(x3, y2, acc1);
+
+      x2 = _SIMD32_OFFSET(pScr + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+#else	 
+
+      /* Read four samples from smaller buffer */
+	  a = *pIn2;
+	  b = *(pIn2 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      y1 = __PKHBT(a, b, 16);
+#else
+      y1 = __PKHBT(b, a, 16);
+#endif
+	  
+	  a = *(pIn2 + 2);
+	  b = *(pIn2 + 3);
+#ifndef ARM_MATH_BIG_ENDIAN
+      y2 = __PKHBT(a, b, 16);
+#else
+      y2 = __PKHBT(b, a, 16);
+#endif				
+
+      acc0 = __SMLAD(x1, y1, acc0);
+
+      acc2 = __SMLAD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+	  a = *pScr;
+	  b = *(pScr + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(a, b, 16);
+#else
+      x1 = __PKHBT(b, a, 16);
+#endif
+
+      acc0 = __SMLAD(x2, y2, acc0);
+
+      acc2 = __SMLAD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      acc1 = __SMLADX(x3, y2, acc1);
+
+	  a = *(pScr + 2);
+	  b = *(pScr + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x2 = __PKHBT(a, b, 16);
+#else
+      x2 = __PKHBT(b, a, 16);
+#endif
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      pIn2 += 4u;
+
+      pScr += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr -= 4u;
+
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr++ * *pIn2);
+      acc1 += (*pScr++ * *pIn2);
+      acc2 += (*pScr++ * *pIn2);
+      acc3 += (*pScr++ * *pIn2++);
+
+      pScr -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+
+    /* Store the results in the accumulators in the destination buffer. */
+    *pOut = (__SSAT(acc0 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc1 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc2 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc3 >> 15u, 16));
+    pOut += inc;
+
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+
+      acc0 += (*pScr++ * *pIn2++);
+      acc0 += (*pScr++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+
+    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 1u;
+
+  }
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
new file mode 100644
index 0000000..d15bb1d
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q15.c
@@ -0,0 +1,1319 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_correlate_fast_q15.c   
+*   
+* Description:	Fast Q15 Correlation.   
+*   
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Corr   
+ * @{   
+ */
+
+/**   
+ * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.   
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
+ * @return none.   
+ *   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * This fast version uses a 32-bit accumulator with 2.30 format.   
+ * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.   
+ * There is no saturation on intermediate additions.   
+ * Thus, if the accumulator overflows it wraps around and distorts the result.   
+ * The input signals should be scaled down to avoid intermediate overflows.   
+ * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a   
+ * maximum of min(srcALen, srcBLen) number of additions is carried internally.   
+ * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.   
+ *   
+ * \par   
+ * See <code>arm_correlate_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.   
+ */
+
+void arm_correlate_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1;                                  /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,   
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB   
+     * to make their lengths equal.   
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally   
+   * divided into three parts according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first part of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second part of the algorithm, srcBLen number of multiplications are done.   
+   * In the third part of the algorithm, the multiplications decrease by one   
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.   
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]   
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
+   * ....   
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* The first loop starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum = __SMLAD(*px++, *py++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------   
+   * Stage2 process   
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+      /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px + 1);
+	  px += 2u;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the first two inputB samples using SIMD:   
+         * y[0] and y[1] */
+        c0 = *__SIMD32(py)++;
+
+        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
+        acc0 = __SMLAD(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLAD(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+        /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px + 1);
+
+        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
+        acc2 = __SMLAD(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
+        acc3 = __SMLAD(x3, c0, acc3);
+
+        /* Read y[2] and y[3] */
+        c0 = *__SIMD32(py)++;
+
+        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
+        acc0 = __SMLAD(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
+        acc1 = __SMLAD(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px + 3);
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
+        acc2 = __SMLAD(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
+        acc3 = __SMLAD(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[4] */
+        c0 = *py;
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[4], y[5] */
+        c0 = *__SIMD32(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px + 1);
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[4], y[5] */
+        c0 = *__SIMD32(py)++;
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px + 1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+
+        c0 = (*py);
+        /* Read y[6] */
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+        x3 = _SIMD32_OFFSET(px + 2);
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (acc0 >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q15_t) (acc1 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc2 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc3 >> 15);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
+   * sum +=  x[srcALen-1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1;                                  /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+  q15_t a, b;
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,   
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB   
+     * to make their lengths equal.   
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally   
+   * divided into three parts according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first part of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second part of the algorithm, srcBLen number of multiplications are done.   
+   * In the third part of the algorithm, the multiplications decrease by one   
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.   
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]   
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
+   * ....   
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* The first loop starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+        sum += ((q31_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------   
+   * Stage2 process   
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+	  a = *px;
+	  b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  x0 = __PKHBT(a, b, 16);
+	  a = *(px + 2);
+	  x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  x0 = __PKHBT(b, a, 16);
+	  a = *(px + 2);
+	  x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+	  px += 2u;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the first two inputB samples using SIMD:   
+         * y[0] and y[1] */
+		  a = *py;
+		  b = *(py + 1);
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		  c0 = __PKHBT(a, b, 16);
+	
+#else
+	
+		  c0 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
+        acc0 = __SMLAD(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLAD(x1, c0, acc1);
+
+        /* Read x[2], x[3], x[4] */
+	  	a = *px;
+	  	b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  	x2 = __PKHBT(a, b, 16);
+	  	a = *(px + 2);
+	  	x3 = __PKHBT(b, a, 16);
+
+#else
+
+	  	x2 = __PKHBT(b, a, 16);
+	  	a = *(px + 2);
+	  	x3 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
+        acc2 = __SMLAD(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
+        acc3 = __SMLAD(x3, c0, acc3);
+
+        /* Read y[2] and y[3] */
+		  a = *(py + 2);
+		  b = *(py + 3);
+
+		  py += 4u;
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		  c0 = __PKHBT(a, b, 16);
+	
+#else
+	
+		  c0 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
+        acc0 = __SMLAD(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
+        acc1 = __SMLAD(x3, c0, acc1);
+
+        /* Read x[4], x[5], x[6] */
+	  	a = *(px + 2);
+	  	b = *(px + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  	x0 = __PKHBT(a, b, 16);
+	  	a = *(px + 4);
+	  	x1 = __PKHBT(b, a, 16);
+
+#else
+
+	  	x0 = __PKHBT(b, a, 16);
+	  	a = *(px + 4);
+	  	x1 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
+        acc2 = __SMLAD(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
+        acc3 = __SMLAD(x1, c0, acc3);
+
+      } while(--k);
+
+      /* For the next MAC operations, SIMD is not used   
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[4] */
+        c0 = *py;
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[7] */
+		a = *px;
+		b = *(px + 1);
+
+		px++;;
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		x3 = __PKHBT(a, b, 16);
+	
+#else
+	
+		x3 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[4], y[5] */
+		  a = *py;
+		  b = *(py + 1);
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		  c0 = __PKHBT(a, b, 16);
+	
+#else
+	
+		  c0 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Read x[7], x[8], x[9] */
+	  	a = *px;
+	  	b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  	x3 = __PKHBT(a, b, 16);
+	  	a = *(px + 2);
+	  	x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  	x3 = __PKHBT(b, a, 16);
+	  	a = *(px + 2);
+	  	x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[4], y[5] */
+		  a = *py;
+		  b = *(py + 1);
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		  c0 = __PKHBT(a, b, 16);
+	
+#else
+	
+		  c0 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		py += 2u;
+
+        /* Read x[7], x[8], x[9] */
+	  	a = *px;
+	  	b = *(px + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  	x3 = __PKHBT(a, b, 16);
+	  	a = *(px + 2);
+	  	x2 = __PKHBT(b, a, 16);
+
+#else
+
+	  	x3 = __PKHBT(b, a, 16);
+	  	a = *(px + 2);
+	  	x2 = __PKHBT(a, b, 16);
+
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+
+        c0 = (*py);
+        /* Read y[6] */
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+
+        /* Read x[10] */
+		b = *(px + 3);
+	
+#ifndef ARM_MATH_BIG_ENDIAN
+	
+		x3 = __PKHBT(a, b, 16);
+	
+#else
+	
+		x3 = __PKHBT(b, a, 16);
+	
+#endif	/*	#ifndef ARM_MATH_BIG_ENDIAN	*/
+
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (acc0 >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q15_t) (acc1 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc2 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc3 >> 15);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
+   * sum +=  x[srcALen-1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+        sum += ((q31_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#endif /*   #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+}
+
+/**   
+ * @} end of Corr group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
new file mode 100644
index 0000000..ed8efb7
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_fast_q31.c
@@ -0,0 +1,612 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_fast_q31.c    
+*    
+* Description:	Fast Q31 Correlation.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+
+/**    
+ * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
+ * These intermediate results are accumulated in a 32-bit register in 2.30 format.    
+ * Finally, the accumulator is saturated and converted to a 1.31 result.    
+ *    
+ * \par    
+ * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signals must be scaled down.    
+ * The input signals should be scaled down to avoid intermediate overflows.    
+ * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
+ * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
+ *    
+ * \par    
+ * See <code>arm_correlate_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.    
+ */
+
+void arm_correlate_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q31_t *pIn1;                                   /* inputA pointer               */
+  q31_t *pIn2;                                   /* inputB pointer               */
+  q31_t *pOut = pDst;                            /* output pointer               */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1;                                  /* Intermediate pointers        */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB    
+     * to make their lengths equal.    
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally    
+   * divided into three parts according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first part of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second part of the algorithm, srcBLen number of multiplications are done.    
+   * In the third part of the algorithm, the multiplications decrease by one    
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.    
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * Initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]    
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
+   * ....    
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* x[1] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* x[2] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* x[3] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum << 1;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+      x2 = *(px++);
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *(py++);
+
+        /* Read x[3] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[1] * y[0] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[2] * y[0] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[3] * y[0] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Read y[1] sample */
+        c0 = *(py++);
+
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc1 +=  x[2] * y[1] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc2 +=  x[3] * y[1] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc3 +=  x[4] * y[1] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+        /* Read y[2] sample */
+        c0 = *(py++);
+
+        /* Read x[5] sample */
+        x1 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc1 +=  x[3] * y[2] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc2 +=  x[4] * y[2] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc3 +=  x[5] * y[2] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+        /* Read y[3] sample */
+        c0 = *(py++);
+
+        /* Read x[6] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[3] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc1 +=  x[4] * y[3] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc2 +=  x[5] * y[3] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc3 +=  x[6] * y[3] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[4] sample */
+        c0 = *(py++);
+
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[7] * y[4] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (acc0 << 1);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q31_t) (acc1 << 1);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc2 << 1);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc3 << 1);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum << 1;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) * px++ * (*py++))) >> 32);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum << 1;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
+   * sum +=  x[srcALen-1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1u;
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) * px++ * (*py++))) >> 32);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum << 1;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
new file mode 100644
index 0000000..ccb8652
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q15.c
@@ -0,0 +1,513 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_opt_q15.c    
+*    
+* Description:	Correlation of Q15 sequences.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+
+/**    
+ * @brief Correlation of Q15 sequences.  
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @param[in]  *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
+ * @return none.    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch buffers should be aligned by 32-bit    
+ *     
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both inputs are in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * This approach provides 33 guard bits and there is no risk of overflow.    
+ * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.    
+ *    
+ * \par    
+ * Refer to <code>arm_correlate_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.   
+ *  
+ * 
+ */
+
+
+void arm_correlate_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch)
+{
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t x1, x2, x3;                              /* temporary variables for holding input1 and input2 values */
+  uint32_t j, blkCnt, outBlockSize;              /* loop counter                 */
+  int32_t inc = 1;                               /* output pointer increment     */
+  uint32_t tapCnt;
+  q31_t y1, y2;
+  q15_t *pScr;                                   /* Intermediate pointers        */
+  q15_t *pOut = pDst;                            /* output pointer               */
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+  q15_t a, b;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,        
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB        
+     * to make their lengths equal.        
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  pScr = pScratch;
+
+  /* Fill (srcBLen - 1u) zeros in scratch buffer */
+  arm_fill_q15(0, pScr, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr += (srcBLen - 1u);
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr, srcALen);
+
+  /* Update pointers */
+  //pIn1 += srcALen;    
+  pScr += srcALen;
+
+#else
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  j = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+    *pScr++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  j = srcALen % 0x4u;
+
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr++ = *pIn1++;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr += (srcBLen - 1u);
+
+#else
+
+/* Apply loop unrolling and do 4 Copies simultaneously. */
+  j = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr++ = 0;
+    *pScr++ = 0;
+    *pScr++ = 0;
+    *pScr++ = 0;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  j = (srcBLen - 1u) % 0x4u;
+
+  while(j > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr++ = 0;
+
+    /* Decrement the loop counter */
+    j--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* Temporary pointer for scratch2 */
+  py = pIn2;
+
+
+  /* Actual correlation process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read four samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr)++;
+
+    /* Read next four samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pIn2);
+      y2 = _SIMD32_OFFSET(pIn2 + 2u);
+
+      acc0 = __SMLALD(x1, y1, acc0);
+
+      acc2 = __SMLALD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+      x1 = _SIMD32_OFFSET(pScr);
+
+      acc0 = __SMLALD(x2, y2, acc0);
+
+      acc2 = __SMLALD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+      x2 = _SIMD32_OFFSET(pScr + 2u);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+#else	 
+
+      /* Read four samples from smaller buffer */
+	  a = *pIn2;
+	  b = *(pIn2 + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      y1 = __PKHBT(a, b, 16);
+#else
+      y1 = __PKHBT(b, a, 16);
+#endif
+	  
+	  a = *(pIn2 + 2);
+	  b = *(pIn2 + 3);
+#ifndef ARM_MATH_BIG_ENDIAN
+      y2 = __PKHBT(a, b, 16);
+#else
+      y2 = __PKHBT(b, a, 16);
+#endif				
+
+      acc0 = __SMLALD(x1, y1, acc0);
+
+      acc2 = __SMLALD(x2, y1, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+	  a = *pScr;
+	  b = *(pScr + 1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(a, b, 16);
+#else
+      x1 = __PKHBT(b, a, 16);
+#endif
+
+      acc0 = __SMLALD(x2, y2, acc0);
+
+      acc2 = __SMLALD(x1, y2, acc2);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+	  a = *(pScr + 2);
+	  b = *(pScr + 3);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x2 = __PKHBT(a, b, 16);
+#else
+      x2 = __PKHBT(b, a, 16);
+#endif
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      pIn2 += 4u;
+
+      pScr += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr -= 4u;
+
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr++ * *pIn2);
+      acc1 += (*pScr++ * *pIn2);
+      acc2 += (*pScr++ * *pIn2);
+      acc3 += (*pScr++ * *pIn2++);
+
+      pScr -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+
+    /* Store the results in the accumulators in the destination buffer. */
+    *pOut = (__SSAT(acc0 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc1 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc2 >> 15u, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc3 >> 15u, 16));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+
+      acc0 += (*pScr++ * *pIn2++);
+      acc0 += (*pScr++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr++ * *pIn2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 1u;
+
+  }
+
+
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
new file mode 100644
index 0000000..2f62f60
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_opt_q7.c
@@ -0,0 +1,464 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_opt_q7.c    
+*    
+* Description:	Correlation of Q7 sequences.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+
+/**    
+ * @brief Correlation of Q7 sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @param[in]  *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.    
+ * @param[in]  *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).    
+ * @return none.    
+ *    
+ *    
+ * \par Restrictions    
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE    
+ *	In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit     
+ *        
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.    
+ * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.    
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
+ * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.    
+ * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.  
+ *  
+ * 
+ */
+
+
+
+void arm_correlate_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+  q7_t *pOut = pDst;                             /* output pointer                */
+  q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch */
+  q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch */
+  q7_t *pIn1;                                    /* inputA pointer                */
+  q7_t *pIn2;                                    /* inputB pointer                */
+  q15_t *py;                                     /* Intermediate inputB pointer   */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators                  */
+  uint32_t j, k = 0u, blkCnt;                    /* loop counter                  */
+  int32_t inc = 1;                               /* output pointer increment          */
+  uint32_t outBlockSize;                         /* loop counter                  */
+  q15_t x4;                                      /* Temporary input variable      */
+  uint32_t tapCnt;                               /* loop counter                  */
+  q31_t x1, x2, x3, y1;                          /* Temporary input variables     */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,        
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,        
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB        
+     * to make their lengths equal.        
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))        
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+
+  /* Copy (srcBLen) samples in scratch buffer */
+  k = srcBLen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) * pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) * pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) * pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) * pIn2++;
+    *pScr2++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcBLen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * pIn2++;
+    *pScr2++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Fill (srcBLen - 1u) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1u);
+
+  /* Copy (srcALen) samples in scratch buffer */
+  k = srcALen >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = srcALen % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  /* Fill (srcBLen - 1u) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1u));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1u);
+
+#else
+
+/* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = (srcBLen - 1u) >> 2u;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.       
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.       
+   ** No loop unrolling is used. */
+  k = (srcBLen - 1u) % 0x4u;
+
+  while(k > 0u)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr1++ = 0;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+  /* Temporary pointer for second sequence */
+  py = pScratch2;
+
+  /* Initialization of pScr2 pointer */
+  pScr2 = pScratch2;
+
+  /* Actual correlation process starts here */
+  blkCnt = (srcALen + srcBLen - 1u) >> 2;
+
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = *__SIMD32(pScr1)++;
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = *__SIMD32(pScr1)++;
+
+    tapCnt = (srcBLen) >> 2u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pScr2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = *__SIMD32(pScr1)++;
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Read four samples from smaller buffer */
+      y1 = _SIMD32_OFFSET(pScr2 + 2u);
+
+      acc0 = __SMLAD(x2, y1, acc0);
+
+      acc2 = __SMLAD(x1, y1, acc2);
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      x2 = *__SIMD32(pScr1)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      pScr2 += 4u;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4u;
+
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3u;
+
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2);
+      acc1 += (*pScr1++ * *pScr2);
+      acc2 += (*pScr1++ * *pScr2);
+      acc3 += (*pScr1++ * *pScr2++);
+
+      pScr1 -= 3u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc1 >> 7u, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc2 >> 7u, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc3 >> 7u, 8));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 4u;
+
+  }
+
+
+  blkCnt = (srcALen + srcBLen - 1u) & 0x3;
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while(blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1u;
+
+    while(tapCnt > 0u)
+    {
+      acc0 += (*pScr1++ * *pScr2++);
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1u;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while(tapCnt > 0u)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8));
+
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 1u;
+
+  }
+
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
new file mode 100644
index 0000000..3003f75
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q15.c
@@ -0,0 +1,719 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_correlate_q15.c   
+*   
+* Description:	Correlation of Q15 sequences. 
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Corr   
+ * @{   
+ */
+
+/**   
+ * @brief Correlation of Q15 sequences. 
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
+ * @return none.   
+ *   
+ * @details   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * The function is implemented using a 64-bit internal accumulator.   
+ * Both inputs are in 1.15 format and multiplications yield a 2.30 result.   
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.   
+ * This approach provides 33 guard bits and there is no risk of overflow.   
+ * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.   
+ *   
+ * \par   
+ * Refer to <code>arm_correlate_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. 
+ *
+ * \par    
+ * Refer the function <code>arm_correlate_opt_q15()</code> for a faster implementation of this function using scratch buffers.
+ * 
+ */
+
+void arm_correlate_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+
+#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t *pIn1;                                   /* inputA pointer               */
+  q15_t *pIn2;                                   /* inputB pointer               */
+  q15_t *pOut = pDst;                            /* output pointer               */
+  q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q15_t *px;                                     /* Intermediate inputA pointer  */
+  q15_t *py;                                     /* Intermediate inputB pointer  */
+  q15_t *pSrc1;                                  /* Intermediate pointers        */
+  q31_t x0, x1, x2, x3, c0;                      /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,   
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB   
+     * to make their lengths equal.   
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally   
+   * divided into three parts according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first part of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second part of the algorithm, srcBLen number of multiplications are done.   
+   * In the third part of the algorithm, the multiplications decrease by one   
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.   
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]   
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
+   * ....   
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* The first loop starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum = __SMLALD(*px++, *py++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------   
+   * Stage2 process   
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = *__SIMD32(px);
+      /* read x[1], x[2] samples */
+      x1 = _SIMD32_OFFSET(px + 1);
+	  px += 2u;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the first two inputB samples using SIMD:   
+         * y[0] and y[1] */
+        c0 = *__SIMD32(py)++;
+
+        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
+        acc0 = __SMLALD(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLALD(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = *__SIMD32(px);
+
+        /* Read x[3], x[4] */
+        x3 = _SIMD32_OFFSET(px + 1);
+
+        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
+        acc2 = __SMLALD(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
+        acc3 = __SMLALD(x3, c0, acc3);
+
+        /* Read y[2] and y[3] */
+        c0 = *__SIMD32(py)++;
+
+        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
+        acc0 = __SMLALD(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
+        acc1 = __SMLALD(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = _SIMD32_OFFSET(px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = _SIMD32_OFFSET(px + 3);
+
+		px += 4u;
+
+        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
+        acc2 = __SMLALD(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
+        acc3 = __SMLALD(x1, c0, acc3);
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      if(k == 1u)
+      {
+        /* Read y[4] */
+        c0 = *py;
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+
+#else
+
+        c0 = c0 & 0x0000FFFF;
+
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+        /* Read x[7] */
+        x3 = *__SIMD32(px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALDX(x1, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      if(k == 2u)
+      {
+        /* Read y[4], y[5] */
+        c0 = *__SIMD32(py);
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px + 1);
+		px += 2u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALD(x3, c0, acc2);
+        acc3 = __SMLALD(x2, c0, acc3);
+      }
+
+      if(k == 3u)
+      {
+        /* Read y[4], y[5] */
+        c0 = *__SIMD32(py)++;
+
+        /* Read x[7], x[8] */
+        x3 = *__SIMD32(px);
+
+        /* Read x[9] */
+        x2 = _SIMD32_OFFSET(px + 1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALD(x3, c0, acc2);
+        acc3 = __SMLALD(x2, c0, acc3);
+
+        c0 = (*py);
+
+        /* Read y[6] */
+#ifdef  ARM_MATH_BIG_ENDIAN
+
+        c0 = c0 << 16u;
+#else
+
+        c0 = c0 & 0x0000FFFF;
+#endif /*      #ifdef  ARM_MATH_BIG_ENDIAN     */
+        /* Read x[10] */
+        x3 = _SIMD32_OFFSET(px + 2);
+		px += 3u;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x1, c0, acc0);
+        acc1 = __SMLALD(x2, c0, acc1);
+        acc2 = __SMLALDX(x2, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
+      pOut += inc;
+
+      /* Increment the count by 4 as 4 output values are computed */
+      count += 4u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q63_t) * px++ * *py++);
+        sum += ((q63_t) * px++ * *py++);
+        sum += ((q63_t) * px++ * *py++);
+        sum += ((q63_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q63_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment count by 1, as one output value is computed */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q63_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
+   * sum +=  x[srcALen-1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLALD(*px++, *py++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q15_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0u, j;                            /* loop counters */
+  uint32_t inv = 0u;                             /* Reverse order flag */
+  uint32_t tot = 0u;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two   
+   * inputs of same length. But to improve the performance, we include zeroes   
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted  
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2u);
+
+  if(srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if(srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1u);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0u; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0u; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if(inv == 1)
+      *pDst-- = (q15_t) __SSAT((sum >> 15u), 16u);
+    else
+      *pDst++ = (q15_t) __SSAT((sum >> 15u), 16u);
+  }
+
+#endif /*#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */
+
+}
+
+/**   
+ * @} end of Corr group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
new file mode 100644
index 0000000..eaab75f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q31.c
@@ -0,0 +1,665 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_correlate_q31.c    
+*    
+* Description:	Correlation of Q31 sequences.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup Corr    
+ * @{    
+ */
+
+/**    
+ * @brief Correlation of Q31 sequences.    
+ * @param[in] *pSrcA points to the first input sequence.    
+ * @param[in] srcALen length of the first input sequence.    
+ * @param[in] *pSrcB points to the second input sequence.    
+ * @param[in] srcBLen length of the second input sequence.    
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * There is no saturation on intermediate additions.    
+ * Thus, if the accumulator overflows it wraps around and distorts the result.    
+ * The input signals should be scaled down to avoid intermediate overflows.    
+ * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a    
+ * maximum of min(srcALen, srcBLen) number of additions is carried internally.    
+ * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
+ *    
+ * \par    
+ * See <code>arm_correlate_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_correlate_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t *pIn1;                                   /* inputA pointer               */
+  q31_t *pIn2;                                   /* inputB pointer               */
+  q31_t *pOut = pDst;                            /* output pointer               */
+  q31_t *px;                                     /* Intermediate inputA pointer  */
+  q31_t *py;                                     /* Intermediate inputB pointer  */
+  q31_t *pSrc1;                                  /* Intermediate pointers        */
+  q63_t sum, acc0, acc1, acc2;                   /* Accumulators                  */
+  q31_t x0, x1, x2, c0;                          /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,    
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,    
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,    
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB    
+     * to make their lengths equal.    
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))    
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally    
+   * divided into three parts according to the number of multiplications that has to be    
+   * taken place between inputA samples and inputB samples. In the first part of the    
+   * algorithm, the multiplications increase by one for every iteration.    
+   * In the second part of the algorithm, srcBLen number of multiplications are done.    
+   * In the third part of the algorithm, the multiplications decrease by one    
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.    
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------    
+   * Initializations of stage1    
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]    
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]    
+   * ....    
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]    
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------    
+   * Stage1 process    
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum += (q63_t) * px++ * (*py++);
+      /* x[1] * y[srcBLen - 3] */
+      sum += (q63_t) * px++ * (*py++);
+      /* x[2] * y[srcBLen - 2] */
+      sum += (q63_t) * px++ * (*py++);
+      /* x[3] * y[srcBLen - 1] */
+      sum += (q63_t) * px++ * (*py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q63_t) * px++ * (*py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q31_t) (sum >> 31);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------    
+   * Initializations of stage2    
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]    
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]    
+   * ....    
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------    
+   * Stage2 process    
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.    
+   * So, to loop unroll over blockSize2,    
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll by 3 */
+    blkCnt = blockSize2 / 3;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = *(px++);
+      x1 = *(px++);
+
+      /* Apply loop unrolling and compute 3 MACs simultaneously. */
+      k = srcBLen / 3;
+
+      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.        
+       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *(py);
+
+        /* Read x[2] sample */
+        x2 = *(px);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[1] * y[0] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[2] * y[0] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Read y[1] sample */
+        c0 = *(py + 1u);
+
+        /* Read x[3] sample */
+        x0 = *(px + 1u);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 += ((q63_t) x1 * c0);
+        /* acc1 +=  x[2] * y[1] */
+        acc1 += ((q63_t) x2 * c0);
+        /* acc2 +=  x[3] * y[1] */
+        acc2 += ((q63_t) x0 * c0);
+
+        /* Read y[2] sample */
+        c0 = *(py + 2u);
+
+        /* Read x[4] sample */
+        x1 = *(px + 2u);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 += ((q63_t) x2 * c0);
+        /* acc1 +=  x[3] * y[2] */
+        acc1 += ((q63_t) x0 * c0);
+        /* acc2 +=  x[4] * y[2] */
+        acc2 += ((q63_t) x1 * c0);
+
+        /* update scratch pointers */
+        px += 3u;
+        py += 3u;
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.        
+       ** No loop unrolling is used. */
+      k = srcBLen - (3 * (srcBLen / 3));
+
+      while(k > 0u)
+      {
+        /* Read y[4] sample */
+        c0 = *(py++);
+
+        /* Read x[7] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (acc0 >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q31_t) (acc1 >> 31);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc2 >> 31);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 3 */
+      count += 3u;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here.        
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) * px++ * (*py++);
+        sum += (q63_t) * px++ * (*py++);
+        sum += (q63_t) * px++ * (*py++);
+        sum += (q63_t) * px++ * (*py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.    
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (sum >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,    
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) * px++ * (*py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (sum >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------    
+   * Initializations of stage3    
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]    
+   * ....    
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]    
+   * sum +=  x[srcALen-1] * y[0]    
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.    
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------    
+   * Stage3 process    
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.    
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum += (q63_t) * px++ * (*py++);
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum += (q63_t) * px++ * (*py++);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum += (q63_t) * px++ * (*py++);
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum += (q63_t) * px++ * (*py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.    
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += (q63_t) * px++ * (*py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q31_t) (sum >> 31);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q31_t *pIn2 = pSrcB + (srcBLen - 1u);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0u, j;                            /* loop counters */
+  uint32_t inv = 0u;                             /* Reverse order flag */
+  uint32_t tot = 0u;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two    
+   * inputs of same length. But to improve the performance, we include zeroes    
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted   
+   * using correlation but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2u);
+
+  if(srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if(srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1u);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate correlation for output length number of times */
+  for (i = 0u; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to correlation equation */
+    for (j = 0u; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if(inv == 1)
+      *pDst-- = (q31_t) (sum >> 31u);
+    else
+      *pDst++ = (q31_t) (sum >> 31u);
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of Corr group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
new file mode 100644
index 0000000..6adef05
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_correlate_q7.c
@@ -0,0 +1,790 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:		arm_correlate_q7.c   
+*   
+* Description:	Correlation of Q7 sequences. 
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**   
+ * @ingroup groupFilters   
+ */
+
+/**   
+ * @addtogroup Corr   
+ * @{   
+ */
+
+/**   
+ * @brief Correlation of Q7 sequences.   
+ * @param[in] *pSrcA points to the first input sequence.   
+ * @param[in] srcALen length of the first input sequence.   
+ * @param[in] *pSrcB points to the second input sequence.   
+ * @param[in] srcBLen length of the second input sequence.   
+ * @param[out] *pDst points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.   
+ * @return none.   
+ *   
+ * @details   
+ * <b>Scaling and Overflow Behavior:</b>   
+ *   
+ * \par   
+ * The function is implemented using a 32-bit internal accumulator.   
+ * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.   
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.   
+ * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.   
+ * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.   
+ *
+ * \par    
+ * Refer the function <code>arm_correlate_opt_q7()</code> for a faster implementation of this function.
+ * 
+ */
+
+void arm_correlate_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t *pIn1;                                    /* inputA pointer               */
+  q7_t *pIn2;                                    /* inputB pointer               */
+  q7_t *pOut = pDst;                             /* output pointer               */
+  q7_t *px;                                      /* Intermediate inputA pointer  */
+  q7_t *py;                                      /* Intermediate inputB pointer  */
+  q7_t *pSrc1;                                   /* Intermediate pointers        */
+  q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators                  */
+  q31_t input1, input2;                          /* temporary variables */
+  q15_t in1, in2;                                /* temporary variables */
+  q7_t x0, x1, x2, x3, c0, c1;                   /* temporary variables for holding input and coefficient values */
+  uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3;  /* loop counter                 */
+  int32_t inc = 1;
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,   
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,   
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if(srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcA);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcB);
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2u * srcALen) - 1u;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB   
+     * to make their lengths equal.   
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))   
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1u));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = (pSrcB);
+
+    /* Initialization of inputB pointer */
+    pIn2 = (pSrcA);
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2u);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally   
+   * divided into three parts according to the number of multiplications that has to be   
+   * taken place between inputA samples and inputB samples. In the first part of the   
+   * algorithm, the multiplications increase by one for every iteration.   
+   * In the second part of the algorithm, srcBLen number of multiplications are done.   
+   * In the third part of the algorithm, the multiplications decrease by one   
+   * for every iteration.*/
+  /* The algorithm is implemented in three stages.   
+   * The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1u;
+  blockSize2 = srcALen - (srcBLen - 1u);
+  blockSize3 = blockSize1;
+
+  /* --------------------------   
+   * Initializations of stage1   
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]   
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]   
+   * ....   
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]   
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = 1u;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1u);
+  py = pSrc1;
+
+  /* ------------------------   
+   * Stage1 process   
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while(blockSize1 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[0] , x[1] */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[srcBLen - 4] , y[srcBLen - 3] */
+      in1 = (q15_t) * py++;
+      in2 = (q15_t) * py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* x[0] * y[srcBLen - 4] */
+      /* x[1] * y[srcBLen - 3] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[2] , x[3] */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[srcBLen - 2] , y[srcBLen - 1] */
+      in1 = (q15_t) * py++;
+      in2 = (q15_t) * py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* x[2] * y[srcBLen - 2] */
+      /* x[3] * y[srcBLen - 1] */
+      sum = __SMLAD(input1, input2, sum);
+
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q31_t) ((q15_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment the MAC count */
+    count++;
+
+    /* Decrement the loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------   
+   * Initializations of stage2   
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]   
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]   
+   * ....   
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0u;
+
+  /* -------------------   
+   * Stage2 process   
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.   
+   * So, to loop unroll over blockSize2,   
+   * srcBLen should be greater than or equal to 4 */
+  if(srcBLen >= 4u)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *py++;
+        /* Read y[1] sample */
+        c1 = *py++;
+
+        /* Read x[3] sample */
+        x3 = *px++;
+
+        /* x[0] and x[1] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[0] and y[1] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc0 += x[0] * y[0] + x[1] * y[1]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[1] and x[2] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc1 += x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc2 += x[2] * y[0] + x[3] * y[1]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc3 += x[3] * y[0] + x[4] * y[1]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+        /* Read y[2] sample */
+        c0 = *py++;
+        /* Read y[3] sample */
+        c1 = *py++;
+
+        /* Read x[5] sample */
+        x1 = *px++;
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[2] and y[3] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc0 += x[2] * y[2] + x[3] * y[3]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc1 += x[3] * y[2] + x[4] * y[3]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[4] and x[5] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc2 += x[4] * y[2] + x[5] * y[3]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[6] sample */
+        x2 = *px++;
+
+        /* x[5] and x[6] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* acc3 += x[5] * y[2] + x[6] * y[3]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+      } while(--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Read y[4] sample */
+        c0 = *py++;
+
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += ((q15_t) x0 * c0);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += ((q15_t) x1 * c0);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += ((q15_t) x2 * c0);
+        /* acc3 +=  x[7] * y[4] */
+        acc3 += ((q15_t) x3 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
+      pOut += inc;
+
+	  count += 4u;
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.   
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2u;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while(k > 0u)
+      {
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) * py++;
+        in2 = (q15_t) * py++;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) * px++;
+        in2 = (q15_t) * px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) * py++;
+        in2 = (q15_t) * py++;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.   
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4u;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q15_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+	  count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,   
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while(blkCnt > 0u)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while(k > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) * px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(sum >> 7, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------   
+   * Initializations of stage3   
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]   
+   * ....   
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]   
+   * sum +=  x[srcALen-1] * y[0]   
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.   
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1u;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1u));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------   
+   * Stage3 process   
+   * ------------------*/
+
+  while(blockSize3 > 0u)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.   
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while(k > 0u)
+    {
+      /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2]  */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[0] , y[1] */
+      in1 = (q15_t) * py++;
+      in2 = (q15_t) * py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
+      in1 = (q15_t) * px++;
+      in2 = (q15_t) * px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[2] , y[3] */
+      in1 = (q15_t) * py++;
+      in2 = (q15_t) * py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.   
+     ** No loop unrolling is used. */
+    k = count % 0x4u;
+
+    while(k > 0u)
+    {
+      /* Perform the multiply-accumulates */
+      sum += ((q15_t) * px++ * *py++);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(sum >> 7, 8));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
+  q7_t *pIn2 = pSrcB + (srcBLen - 1u);           /* inputB pointer */
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i = 0u, j;                            /* loop counters */
+  uint32_t inv = 0u;                             /* Reverse order flag */
+  uint32_t tot = 0u;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two   
+   * inputs of same length. But to improve the performance, we include zeroes   
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the   
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the  
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted  
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2u);
+
+  if(srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if(srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1u);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0u; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0u; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if(inv == 1)
+      *pDst-- = (q7_t) __SSAT((sum >> 7u), 8u);
+    else
+      *pDst++ = (q7_t) __SSAT((sum >> 7u), 8u);
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**   
+ * @} end of Corr group   
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
new file mode 100644
index 0000000..1592973
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_f32.c
@@ -0,0 +1,524 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_decimate_f32.c    
+*    
+* Description:	FIR decimation for floating-point sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator    
+ *    
+ * These functions combine an FIR filter together with a decimator.    
+ * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.    
+ * Conceptually, the functions are equivalent to the block diagram below:    
+ * \image html FIRDecimator.gif "Components included in the FIR Decimator functions"    
+ * When decimating by a factor of <code>M</code>, the signal should be prefiltered by a lowpass filter with a normalized    
+ * cutoff frequency of <code>1/M</code> in order to prevent aliasing distortion.    
+ * The user of the function is responsible for providing the filter coefficients.    
+ *    
+ * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.    
+ * Instead of calculating all of the FIR filter outputs and discarding <code>M-1</code> out of every <code>M</code>, only the    
+ * samples output by the decimator are computed.    
+ * The functions operate on blocks of input and output data.    
+ * <code>pSrc</code> points to an array of <code>blockSize</code> input values and    
+ * <code>pDst</code> points to an array of <code>blockSize/M</code> output values.    
+ * In order to have an integer number of output samples <code>blockSize</code>    
+ * must always be a multiple of the decimation factor <code>M</code>.    
+ *    
+ * The library provides separate functions for Q15, Q31 and floating-point data types.    
+ *    
+ * \par Algorithm:    
+ * The FIR portion of the algorithm uses the standard form filter:    
+ * <pre>    
+ *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+ * </pre>    
+ * where, <code>b[n]</code> are the filter coefficients.    
+ * \par   
+ * The <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.    
+ * Coefficients are stored in time reversed order.    
+ * \par    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.    
+ * Samples in the state buffer are stored in the order:    
+ * \par    
+ * <pre>    
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+ * </pre>    
+ * The state variables are updated after each block of data is processed, the coefficients are untouched.    
+ *    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * - Checks to make sure that the size of the input is a multiple of the decimation factor.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * The code below statically initializes each of the 3 different data type filter instance structures    
+ * <pre>    
+ *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};    
+ *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};    
+ *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};    
+ * </pre>    
+ * where <code>M</code> is the decimation factor; <code>numTaps</code> is the number of filter coefficients in the filter;    
+ * <code>pCoeffs</code> is the address of the coefficient buffer;    
+ * <code>pState</code> is the address of the state buffer.    
+ * Be sure to set the values in the state buffer to zeros when doing static initialization.    
+ *    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the FIR decimate filter functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+  /**    
+   * @brief Processing function for the floating-point FIR decimator.    
+   * @param[in] *S        points to an instance of the floating-point FIR decimator structure.    
+   * @param[in] *pSrc     points to the block of input data.    
+   * @param[out] *pDst    points to the block of output data.    
+   * @param[in] blockSize number of input samples to process per call.    
+   * @return none.    
+   */
+
+void arm_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+  float32_t sum0;                                /* Accumulator */
+  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  uint32_t blkCntN4;
+  float32_t *px0, *px1, *px2, *px3;
+  float32_t acc0, acc1, acc2, acc3;
+  float32_t x1, x2, x3;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 4;
+  blkCntN4 = outBlockSize - (4 * blkCnt);
+
+  while(blkCnt > 0u)
+  {
+    /* Copy 4 * decimation factor number of new input samples into the state buffer */
+    i = 4 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulators to zero */
+    acc0 = 0.0f;
+    acc1 = 0.0f;
+    acc2 = 0.0f;
+    acc3 = 0.0f;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+    px2 = pState + 2 * S->M;
+    px3 = pState + 3 * S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+
+    while(tapCnt > 0u)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample for acc0 */
+      x0 = *(px0++);
+      /* Read x[n-numTaps-1] sample for acc1 */
+      x1 = *(px1++);
+      /* Read x[n-numTaps-1] sample for acc2 */
+      x2 = *(px2++);
+      /* Read x[n-numTaps-1] sample for acc3 */
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch  state variables for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + 4 * S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = acc0;
+    *pDst++ = acc1;
+    *pDst++ = acc2;
+    *pDst++ = acc3;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  while(blkCntN4 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0.0f;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = sum0;
+
+    /* Decrement the loop counter */
+    blkCntN4--;
+  }
+
+  /* Processing is complete.    
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0.0f;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = sum0;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Copy numTaps number of values */
+  i = (numTaps - 1u);
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
+
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
new file mode 100644
index 0000000..8ae0d2e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
@@ -0,0 +1,598 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_decimate_fast_q15.c    
+*    
+* Description:	Fast Q15 FIR Decimator.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
+ * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none    
+ *    
+ * \par Restrictions   
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
+ *	In this case input, output, state buffers should be aligned by 32-bit   
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * This fast version uses a 32-bit accumulator with 2.30 format.    
+ * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around and distorts the result.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).    
+ * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_decimate_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.    
+ * Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_fir_decimate_init_q15()</code> to initialize the filter structure.    
+ */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
+  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
+  q31_t sum0;                                    /* Accumulators */
+  q31_t acc0, acc1;
+  q15_t *px0, *px1;
+  uint32_t blkCntN3;
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = 2 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    px1 = pState + S->M;
+
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = *__SIMD32(px0)++;
+
+      x1 = *__SIMD32(px1)++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = *__SIMD32(px0)++;
+
+      x1 = *__SIMD32(px1)++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+
+  while(blkCntN3 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /*Set sum to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = *__SIMD32(px)++;
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c1 = *__SIMD32(pb)++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c0, sum0);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = *__SIMD32(px)++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c1, sum0);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c0, sum0);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+#else
+
+
+void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
+  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+  q31_t sum0;                                    /* Accumulators */
+  q31_t acc0, acc1;
+  q15_t *px0, *px1;
+  uint32_t blkCntN3;
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = 2 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    px1 = pState + S->M;
+
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-3]  coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  while(blkCntN3 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /*Set sum to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] and sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] and  sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-3]  coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
new file mode 100644
index 0000000..4f01269
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
@@ -0,0 +1,351 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_decimate_fast_q31.c    
+*    
+* Description:	Fast Q31 FIR Decimator.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.    
+ * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
+ * These intermediate results are added to a 2.30 accumulator.    
+ * Finally, the accumulator is saturated and converted to a 1.31 result.    
+ * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_decimate_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.    
+ * Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_fir_decimate_init_q31()</code> to initialize the filter structure.    
+ */
+
+void arm_fir_decimate_fast_q31(
+  arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  q31_t *px;                                     /* Temporary pointers for state buffer */
+  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
+  q31_t sum0;                                    /* Accumulator */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+  uint32_t blkCntN2;
+  q31_t x1;
+  q31_t acc0, acc1;
+  q31_t *px0, *px1;
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+
+  blkCnt = outBlockSize / 2;
+  blkCntN2 = outBlockSize - (2 * blkCnt);
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = 2 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+    px1 = pState + S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb);
+
+      /* Read x[n-numTaps-1] for sample 0 sample 1 */
+      x0 = *(px0);
+      x1 = *(px1);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb + 1u);
+
+      /* Read x[n-numTaps-2]  for sample 0 sample 1  */
+      x0 = *(px0 + 1u);
+      x1 = *(px1 + 1u);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb + 2u);
+
+      /* Read x[n-numTaps-3]  for sample 0 sample 1 */
+      x0 = *(px0 + 2u);
+      x1 = *(px1 + 2u);
+      pb += 4u;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb - 1u);
+
+      /* Read x[n-numTaps-4] for sample 0 sample 1 */
+      x0 = *(px0 + 3u);
+      x1 = *(px1 + 3u);
+
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+      /* update state pointers */
+      px0 += 4u;
+      px1 += 4u;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x0 = *(px0++);
+      x1 = *(px1++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+    *pDst++ = (q31_t) (acc1 << 1);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  while(blkCntN2 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (sum0 << 1);
+
+    /* Decrement the loop counter */
+    blkCntN2--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
new file mode 100644
index 0000000..7896510
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
@@ -0,0 +1,117 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_decimate_init_f32.c    
+*    
+* Description:  Floating-point FIR Decimator initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the floating-point FIR decimator.    
+ * @param[in,out] *S points to an instance of the floating-point FIR decimator structure.    
+ * @param[in] numTaps  number of coefficients in the filter.    
+ * @param[in] M  decimation factor.    
+ * @param[in] *pCoeffs points to the filter coefficients.    
+ * @param[in] *pState points to the state buffer.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * <code>blockSize</code> is not a multiple of <code>M</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_f32()</code>.    
+ * <code>M</code> is the decimation factor.    
+ */
+
+arm_status arm_fir_decimate_init_f32(
+  arm_fir_decimate_instance_f32 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if((blockSize % M) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear state buffer and size is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation Factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
new file mode 100644
index 0000000..a3fad6b
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
@@ -0,0 +1,119 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_decimate_init_q15.c    
+*    
+* Description:  Initialization function for the Q15 FIR Decimator.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the Q15 FIR decimator.    
+ * @param[in,out] *S points to an instance of the Q15 FIR decimator structure.    
+ * @param[in] numTaps  number of coefficients in the filter.    
+ * @param[in] M  decimation factor.    
+ * @param[in] *pCoeffs points to the filter coefficients.    
+ * @param[in] *pState points to the state buffer.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * <code>blockSize</code> is not a multiple of <code>M</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples    
+ * to the call <code>arm_fir_decimate_q15()</code>.    
+ * <code>M</code> is the decimation factor.    
+ */
+
+arm_status arm_fir_decimate_init_q15(
+  arm_fir_decimate_instance_q15 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize)
+{
+
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if((blockSize % M) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer.  The size of buffer is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
new file mode 100644
index 0000000..9d332f3
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
@@ -0,0 +1,117 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_decimate_init_q31.c    
+*    
+* Description:  Initialization function for Q31 FIR Decimation filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the Q31 FIR decimator.    
+ * @param[in,out] *S points to an instance of the Q31 FIR decimator structure.    
+ * @param[in] numTaps  number of coefficients in the filter.    
+ * @param[in] M  decimation factor.    
+ * @param[in] *pCoeffs points to the filter coefficients.    
+ * @param[in] *pState points to the state buffer.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return    The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * <code>blockSize</code> is not a multiple of <code>M</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_q31()</code>.    
+ * <code>M</code> is the decimation factor.    
+ */
+
+arm_status arm_fir_decimate_init_q31(
+  arm_fir_decimate_instance_q31 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if((blockSize % M) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(q31_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
new file mode 100644
index 0000000..f3a6a4a
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q15.c
@@ -0,0 +1,696 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_decimate_q15.c    
+*    
+* Description:	Q15 FIR Decimator.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 FIR decimator.    
+ * @param[in] *S points to an instance of the Q15 FIR decimator structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the location where the output result is written.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_decimate_fast_q15()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
+  q31_t x0, x1, c0, c1;                          /* Temporary variables to hold state and coefficient values */
+  q63_t sum0;                                    /* Accumulators */
+  q63_t acc0, acc1;
+  q15_t *px0, *px1;
+  uint32_t blkCntN3;
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = 2 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    px1 = pState + S->M;
+
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = *__SIMD32(px0)++;
+
+      x1 = *__SIMD32(px1)++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = *__SIMD32(px0)++;
+
+      x1 = *__SIMD32(px1)++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+
+  while(blkCntN3 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /*Set sum to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] and b[numTaps-2]  coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = *__SIMD32(px)++;
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c1 = *__SIMD32(pb)++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c0, sum0);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = *__SIMD32(px)++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c1, sum0);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c0, sum0);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+#else
+
+
+void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
+  q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+  q63_t sum0;                                    /* Accumulators */
+  q63_t acc0, acc1;
+  q15_t *px0, *px1;
+  uint32_t blkCntN3;
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = 2 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    px1 = pState + S->M;
+
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  while(blkCntN3 > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /*Set sum to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] and sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] and  sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-3]  coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor       
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#else
+
+
+void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer coefficient buffer */
+  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  q63_t sum0;                                    /* Accumulators */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+
+/* Run the below code for Cortex-M0 */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /*Set sum to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q31_t) x0 *c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /*Store filter output , smlad will return the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+}
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
new file mode 100644
index 0000000..5696b23
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_decimate_q31.c
@@ -0,0 +1,311 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_decimate_q31.c    
+*    
+* Description:	Q31 FIR Decimator.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_decimate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 FIR decimator.    
+ * @param[in] *S points to an instance of the Q31 FIR decimator structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).    
+ * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_decimate_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  q31_t *px;                                     /* Temporary pointers for state buffer */
+  q31_t *pb;                                     /* Temporary pointers for coefficient buffer */
+  q63_t sum0;                                    /* Accumulator */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps */
+  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.    
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while(tapCnt > 0u)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor    
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (sum0 >> 31);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.    
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1u) % 0x04u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while(--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t) x0 *c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (sum0 >> 31);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_decimate group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
new file mode 100644
index 0000000..a827e68
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_f32.c
@@ -0,0 +1,997 @@
+/* ----------------------------------------------------------------------  
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.  
+*  
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*  
+* Project: 	    CMSIS DSP Library  
+* Title:	    arm_fir_f32.c  
+*  
+* Description:	Floating-point FIR filter processing function.  
+*  
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**  
+* @ingroup groupFilters  
+*/
+
+/**  
+* @defgroup FIR Finite Impulse Response (FIR) Filters  
+*  
+* This set of functions implements Finite Impulse Response (FIR) filters  
+* for Q7, Q15, Q31, and floating-point data types.  Fast versions of Q15 and Q31 are also provided.  
+* The functions operate on blocks of input and output data and each call to the function processes  
+* <code>blockSize</code> samples through the filter.  <code>pSrc</code> and  
+* <code>pDst</code> points to input and output arrays containing <code>blockSize</code> values.  
+*  
+* \par Algorithm:  
+* The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.  
+* Each filter coefficient <code>b[n]</code> is multiplied by a state variable which equals a previous input sample <code>x[n]</code>.  
+* <pre>  
+*    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]  
+* </pre>  
+* \par  
+* \image html FIR.gif "Finite Impulse Response filter"  
+* \par  
+* <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.  
+* Coefficients are stored in time reversed order.  
+* \par  
+* <pre>  
+*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}  
+* </pre>  
+* \par  
+* <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.  
+* Samples in the state buffer are stored in the following order.  
+* \par  
+* <pre>  
+*    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}  
+* </pre>  
+* \par  
+* Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code>.  
+* The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,  
+* to be avoided and yields a significant speed improvement.  
+* The state variables are updated after each block of data is processed; the coefficients are untouched.  
+* \par Instance Structure  
+* The coefficients and state variables for a filter are stored together in an instance data structure.  
+* A separate instance structure must be defined for each filter.  
+* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.  
+* There are separate instance structure declarations for each of the 4 supported data types.  
+*  
+* \par Initialization Functions  
+* There is also an associated initialization function for each data type.  
+* The initialization function performs the following operations:  
+* - Sets the values of the internal structure fields.  
+* - Zeros out the values in the state buffer.  
+* To do this manually without calling the init function, assign the follow subfields of the instance structure:
+* numTaps, pCoeffs, pState. Also set all of the values in pState to zero. 
+*  
+* \par  
+* Use of the initialization function is optional.  
+* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.  
+* To place an instance structure into a const data section, the instance structure must be manually initialized.  
+* Set the values in the state buffer to zeros before static initialization.  
+* The code below statically initializes each of the 4 different data type filter instance structures  
+* <pre>  
+*arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};  
+* </pre>  
+*  
+* where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer;  
+* <code>pCoeffs</code> is the address of the coefficient buffer.  
+*  
+* \par Fixed-Point Behavior  
+* Care must be taken when using the fixed-point versions of the FIR filter functions.  
+* In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.  
+* Refer to the function specific documentation below for usage guidelines.  
+*/
+
+/**  
+* @addtogroup FIR  
+* @{  
+*/
+
+/**  
+*  
+* @param[in]  *S points to an instance of the floating-point FIR filter structure.  
+* @param[in]  *pSrc points to the block of input data.  
+* @param[out] *pDst points to the block of output data.  
+* @param[in]  blockSize number of samples to process per call.  
+* @return     none.  
+*  
+*/
+
+#if defined(ARM_MATH_CM7)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+   float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
+   float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+   /* Apply loop unrolling and compute 8 output values simultaneously.  
+    * The variables acc0 ... acc7 hold output values that are being computed:  
+    *  
+    *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
+    *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
+    *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
+    *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
+    */
+   blkCnt = blockSize >> 3;
+
+   /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.  
+   ** a second loop below computes the remaining 1 to 7 samples. */
+   while(blkCnt > 0u)
+   {
+      /* Copy four new input samples into the state buffer */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+      acc4 = 0.0f;
+      acc5 = 0.0f;
+      acc6 = 0.0f;
+      acc7 = 0.0f;		
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize coeff pointer */
+      pb = (pCoeffs);		
+   
+      /* This is separated from the others to avoid 
+       * a call to __aeabi_memmove which would be slower
+       */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Read the first seven samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+      x3 = *px++;
+      x4 = *px++;
+      x5 = *px++;
+      x6 = *px++;
+
+      /* Loop unrolling.  Process 8 taps at a time. */
+      tapCnt = numTaps >> 3u;
+      
+      /* Loop over the number of taps.  Unroll by a factor of 8.  
+       ** Repeat until we've computed numTaps-8 coefficients. */
+      while(tapCnt > 0u)
+      {
+         /* Read the b[numTaps-1] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-3] sample */
+         x7 = *(px++);
+
+         /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
+         acc0 += x0 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
+         acc1 += x1 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
+         acc2 += x2 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
+         acc3 += x3 * c0;
+
+         /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
+         acc4 += x4 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
+         acc5 += x5 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
+         acc6 += x6 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
+         acc7 += x7 * c0;
+         
+         /* Read the b[numTaps-2] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-4] sample */
+         x0 = *(px++);
+
+         /* Perform the multiply-accumulate */
+         acc0 += x1 * c0;
+         acc1 += x2 * c0;   
+         acc2 += x3 * c0;   
+         acc3 += x4 * c0;   
+         acc4 += x5 * c0;   
+         acc5 += x6 * c0;   
+         acc6 += x7 * c0;   
+         acc7 += x0 * c0;   
+         
+         /* Read the b[numTaps-3] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-5] sample */
+         x1 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x2 * c0;
+         acc1 += x3 * c0;   
+         acc2 += x4 * c0;   
+         acc3 += x5 * c0;   
+         acc4 += x6 * c0;   
+         acc5 += x7 * c0;   
+         acc6 += x0 * c0;   
+         acc7 += x1 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x2 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x3 * c0;
+         acc1 += x4 * c0;   
+         acc2 += x5 * c0;   
+         acc3 += x6 * c0;   
+         acc4 += x7 * c0;   
+         acc5 += x0 * c0;   
+         acc6 += x1 * c0;   
+         acc7 += x2 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x3 = *(px++);
+         /* Perform the multiply-accumulates */      
+         acc0 += x4 * c0;
+         acc1 += x5 * c0;   
+         acc2 += x6 * c0;   
+         acc3 += x7 * c0;   
+         acc4 += x0 * c0;   
+         acc5 += x1 * c0;   
+         acc6 += x2 * c0;   
+         acc7 += x3 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x4 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x5 * c0;
+         acc1 += x6 * c0;   
+         acc2 += x7 * c0;   
+         acc3 += x0 * c0;   
+         acc4 += x1 * c0;   
+         acc5 += x2 * c0;   
+         acc6 += x3 * c0;   
+         acc7 += x4 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x5 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x6 * c0;
+         acc1 += x7 * c0;   
+         acc2 += x0 * c0;   
+         acc3 += x1 * c0;   
+         acc4 += x2 * c0;   
+         acc5 += x3 * c0;   
+         acc6 += x4 * c0;   
+         acc7 += x5 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x6 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x7 * c0;
+         acc1 += x0 * c0;   
+         acc2 += x1 * c0;   
+         acc3 += x2 * c0;   
+         acc4 += x3 * c0;   
+         acc5 += x4 * c0;   
+         acc6 += x5 * c0;   
+         acc7 += x6 * c0;   
+
+         tapCnt--;
+      }
+
+      /* If the filter length is not a multiple of 8, compute the remaining filter taps */
+      tapCnt = numTaps % 0x8u;
+
+      while(tapCnt > 0u)
+      {
+         /* Read coefficients */
+         c0 = *(pb++);
+
+         /* Fetch 1 state variable */
+         x7 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         acc0 += x0 * c0;
+         acc1 += x1 * c0;   
+         acc2 += x2 * c0;   
+         acc3 += x3 * c0;   
+         acc4 += x4 * c0;   
+         acc5 += x5 * c0;   
+         acc6 += x6 * c0;   
+         acc7 += x7 * c0;   
+
+         /* Reuse the present sample states for next sample */
+         x0 = x1;
+         x1 = x2;
+         x2 = x3;
+         x3 = x4;
+         x4 = x5;
+         x5 = x6;
+         x6 = x7;
+
+         /* Decrement the loop counter */
+         tapCnt--;
+      }
+
+      /* Advance the state pointer by 8 to process the next group of 8 samples */
+      pState = pState + 8;
+
+      /* The results in the 8 accumulators, store in the destination buffer. */
+      *pDst++ = acc0;
+      *pDst++ = acc1;
+      *pDst++ = acc2;
+      *pDst++ = acc3;
+      *pDst++ = acc4;
+      *pDst++ = acc5;
+      *pDst++ = acc6;
+      *pDst++ = acc7;
+
+      blkCnt--;
+   }
+
+   /* If the blockSize is not a multiple of 8, compute any remaining output samples here.  
+   ** No loop unrolling is used. */
+   blkCnt = blockSize % 0x8u;
+
+   while(blkCnt > 0u)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc0 = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = (pCoeffs);
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         acc0 += *px++ * *pb++;
+         i--;
+
+      } while(i > 0u);
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc0;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.  
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.  
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   tapCnt = (numTaps - 1u) >> 2u;
+
+   /* copy data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+   /* Calculate remaining number of copies */
+   tapCnt = (numTaps - 1u) % 0x4u;
+
+   /* Copy the remaining q31_t data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+}
+
+#elif defined(ARM_MATH_CM0_FAMILY)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+   /* Run the below code for Cortex-M0 */
+
+   float32_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+   /* Initialize blkCnt with blockSize */
+   blkCnt = blockSize;
+
+   while(blkCnt > 0u)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = pCoeffs;
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+         acc += *px++ * *pb++;
+         i--;
+
+      } while(i > 0u);
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy numTaps number of values */
+   tapCnt = numTaps - 1u;
+
+   /* Copy data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+}
+
+#else
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+   float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
+   float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0;  /* Temporary variables to hold state and coefficient values */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+   float32_t p0,p1,p2,p3,p4,p5,p6,p7;             /* Temporary product values */
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+   /* Apply loop unrolling and compute 8 output values simultaneously.  
+    * The variables acc0 ... acc7 hold output values that are being computed:  
+    *  
+    *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]  
+    *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]  
+    *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]  
+    *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]  
+    */
+   blkCnt = blockSize >> 3;
+
+   /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.  
+   ** a second loop below computes the remaining 1 to 7 samples. */
+   while(blkCnt > 0u)
+   {
+      /* Copy four new input samples into the state buffer */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+      acc4 = 0.0f;
+      acc5 = 0.0f;
+      acc6 = 0.0f;
+      acc7 = 0.0f;		
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize coeff pointer */
+      pb = (pCoeffs);		
+   
+      /* This is separated from the others to avoid 
+       * a call to __aeabi_memmove which would be slower
+       */
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+      *pStateCurnt++ = *pSrc++;
+
+      /* Read the first seven samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+      x3 = *px++;
+      x4 = *px++;
+      x5 = *px++;
+      x6 = *px++;
+
+      /* Loop unrolling.  Process 8 taps at a time. */
+      tapCnt = numTaps >> 3u;
+      
+      /* Loop over the number of taps.  Unroll by a factor of 8.  
+       ** Repeat until we've computed numTaps-8 coefficients. */
+      while(tapCnt > 0u)
+      {
+         /* Read the b[numTaps-1] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-3] sample */
+         x7 = *(px++);
+
+         /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
+         p0 = x0 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
+         p1 = x1 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
+         p2 = x2 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
+         p3 = x3 * c0;
+
+         /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
+         p4 = x4 * c0;
+
+         /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
+         p5 = x5 * c0;
+
+         /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
+         p6 = x6 * c0;
+
+         /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
+         p7 = x7 * c0;
+         
+         /* Read the b[numTaps-2] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-4] sample */
+         x0 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+
+         /* Perform the multiply-accumulate */
+         p0 = x1 * c0;
+         p1 = x2 * c0;   
+         p2 = x3 * c0;   
+         p3 = x4 * c0;   
+         p4 = x5 * c0;   
+         p5 = x6 * c0;   
+         p6 = x7 * c0;   
+         p7 = x0 * c0;   
+         
+         /* Read the b[numTaps-3] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-5] sample */
+         x1 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x2 * c0;
+         p1 = x3 * c0;   
+         p2 = x4 * c0;   
+         p3 = x5 * c0;   
+         p4 = x6 * c0;   
+         p5 = x7 * c0;   
+         p6 = x0 * c0;   
+         p7 = x1 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x2 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x3 * c0;
+         p1 = x4 * c0;   
+         p2 = x5 * c0;   
+         p3 = x6 * c0;   
+         p4 = x7 * c0;   
+         p5 = x0 * c0;   
+         p6 = x1 * c0;   
+         p7 = x2 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x3 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x4 * c0;
+         p1 = x5 * c0;   
+         p2 = x6 * c0;   
+         p3 = x7 * c0;   
+         p4 = x0 * c0;   
+         p5 = x1 * c0;   
+         p6 = x2 * c0;   
+         p7 = x3 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x4 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x5 * c0;
+         p1 = x6 * c0;   
+         p2 = x7 * c0;   
+         p3 = x0 * c0;   
+         p4 = x1 * c0;   
+         p5 = x2 * c0;   
+         p6 = x3 * c0;   
+         p7 = x4 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x5 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x6 * c0;
+         p1 = x7 * c0;   
+         p2 = x0 * c0;   
+         p3 = x1 * c0;   
+         p4 = x2 * c0;   
+         p5 = x3 * c0;   
+         p6 = x4 * c0;   
+         p7 = x5 * c0;   
+
+         /* Read the b[numTaps-4] coefficient */
+         c0 = *(pb++);
+
+         /* Read x[n-numTaps-6] sample */
+         x6 = *(px++);
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Perform the multiply-accumulates */      
+         p0 = x7 * c0;
+         p1 = x0 * c0;   
+         p2 = x1 * c0;   
+         p3 = x2 * c0;   
+         p4 = x3 * c0;   
+         p5 = x4 * c0;   
+         p6 = x5 * c0;   
+         p7 = x6 * c0;   
+
+         tapCnt--;
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+      }
+
+      /* If the filter length is not a multiple of 8, compute the remaining filter taps */
+      tapCnt = numTaps % 0x8u;
+
+      while(tapCnt > 0u)
+      {
+         /* Read coefficients */
+         c0 = *(pb++);
+
+         /* Fetch 1 state variable */
+         x7 = *(px++);
+
+         /* Perform the multiply-accumulates */      
+         p0 = x0 * c0;
+         p1 = x1 * c0;   
+         p2 = x2 * c0;   
+         p3 = x3 * c0;   
+         p4 = x4 * c0;   
+         p5 = x5 * c0;   
+         p6 = x6 * c0;   
+         p7 = x7 * c0;   
+
+         /* Reuse the present sample states for next sample */
+         x0 = x1;
+         x1 = x2;
+         x2 = x3;
+         x3 = x4;
+         x4 = x5;
+         x5 = x6;
+         x6 = x7;
+         
+         acc0 += p0;
+         acc1 += p1;
+         acc2 += p2;
+         acc3 += p3;
+         acc4 += p4;
+         acc5 += p5;
+         acc6 += p6;
+         acc7 += p7;
+
+         /* Decrement the loop counter */
+         tapCnt--;
+      }
+
+      /* Advance the state pointer by 8 to process the next group of 8 samples */
+      pState = pState + 8;
+
+      /* The results in the 8 accumulators, store in the destination buffer. */
+      *pDst++ = acc0;
+      *pDst++ = acc1;
+      *pDst++ = acc2;
+      *pDst++ = acc3;
+      *pDst++ = acc4;
+      *pDst++ = acc5;
+      *pDst++ = acc6;
+      *pDst++ = acc7;
+
+      blkCnt--;
+   }
+
+   /* If the blockSize is not a multiple of 8, compute any remaining output samples here.  
+   ** No loop unrolling is used. */
+   blkCnt = blockSize % 0x8u;
+
+   while(blkCnt > 0u)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc0 = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = (pCoeffs);
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         acc0 += *px++ * *pb++;
+         i--;
+
+      } while(i > 0u);
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc0;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.  
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.  
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   tapCnt = (numTaps - 1u) >> 2u;
+
+   /* copy data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+   /* Calculate remaining number of copies */
+   tapCnt = (numTaps - 1u) % 0x4u;
+
+   /* Copy the remaining q31_t data */
+   while(tapCnt > 0u)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+}
+
+#endif 
+
+/**  
+* @} end of FIR group  
+*/
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
new file mode 100644
index 0000000..72b5063
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q15.c
@@ -0,0 +1,345 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_fast_q15.c    
+*    
+* Description:  Q15 Fast FIR filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @param[in] *S points to an instance of the Q15 FIR filter structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in] blockSize number of samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * This fast version uses a 32-bit accumulator with 2.30 format.    
+ * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around and distorts the result.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
+ * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_fir_init_q15()</code> to initialize the filter structure.    
+ */
+
+void arm_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
+  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.      
+   * The variables acc0 ... acc3 hold output values that are being computed:      
+   *      
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
+   */
+
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy four new input samples into the state buffer.      
+     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+    px = pState;
+
+    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
+    x0 = *__SIMD32(px)++;
+
+    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+    x2 = *__SIMD32(px)++;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.      
+     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0)
+    {
+      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc0 = __SMLAD(x0, c0, acc0);
+
+      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+      acc2 = __SMLAD(x2, c0, acc2);
+
+      /* pack  x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read state x[n-N-4], x[n-N-5] */
+      x0 = _SIMD32_OFFSET(px);
+
+      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack  x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+      acc3 = __SMLADX(x1, c0, acc3);
+
+      /* Read coefficients b[N-2], b[N-3] */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+      acc0 = __SMLAD(x2, c0, acc0);
+
+      /* Read state x[n-N-6], x[n-N-7] with offset */
+      x2 = _SIMD32_OFFSET(px + 2u);
+
+      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+      acc2 = __SMLAD(x0, c0, acc2);
+
+      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack  x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+      acc3 = __SMLADX(x1, c0, acc3);
+
+      /* Update state pointer for next state reading */
+      px += 4u;
+
+      /* Decrement tap count */
+      tapCnt--;
+
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
+     ** This is always be 2 taps since the filter length is even. */
+    if((numTaps & 0x3u) != 0u)
+    {
+
+      /* Read last two coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Perform the multiply-accumulates */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc2 = __SMLAD(x2, c0, acc2);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read last state variables */
+      x0 = *__SIMD32(px);
+
+      /* Perform the multiply-accumulates */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* Perform the multiply-accumulates */
+      acc3 = __SMLADX(x1, c0, acc3);
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the 4 outputs in the destination buffer. */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+  while(blkCnt > 0u)
+  {
+    /* Copy two samples into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Use SIMD to hold states and coefficients */
+    px = pState;
+    pb = pCoeffs;
+
+    tapCnt = numTaps >> 1u;
+
+    do
+    {
+
+      acc0 += (q31_t) * px++ * *pb++;
+	  acc0 += (q31_t) * px++ * *pb++;
+
+      tapCnt--;
+    }
+    while(tapCnt > 0u);
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.      
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculation of count for copying integer writes */
+  tapCnt = (numTaps - 1u) >> 2;
+
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    tapCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* copy remaining data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
new file mode 100644
index 0000000..13073c4
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_fast_q31.c
@@ -0,0 +1,305 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_fast_q31.c    
+*    
+* Description:	Processing function for the Q31 Fast FIR filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @param[in] *S points to an instance of the Q31 structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block output data.    
+ * @param[in] blockSize number of samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * This function is optimized for speed at the expense of fixed-point precision and overflow protection.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.    
+ * These intermediate results are added to a 2.30 accumulator.    
+ * Finally, the accumulator is saturated and converted to a 1.31 result.    
+ * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.  Both the slow and the fast versions use the same instance structure.    
+ * Use the function <code>arm_fir_init_q31()</code> to initialize the filter structure.    
+ */
+
+IAR_ONLY_LOW_OPTIMIZATION_ENTER
+void arm_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t x0, x1, x2, x3;                          /* Temporary variables to hold state */
+  q31_t c0;                                      /* Temporary variable to hold coefficient value */
+  q31_t *px;                                     /* Temporary pointer for state */
+  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.    
+   * The variables acc0 ... acc3 hold output values that are being computed:    
+   *    
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
+   */
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy four new input samples into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first three samples from the state buffer:    
+     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+    x0 = *(px++);
+    x1 = *(px++);
+    x2 = *(px++);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+    i = tapCnt;
+
+    while(i > 0u)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-3] sample */
+      x3 = *px;
+
+      /* acc0 +=  b[numTaps] * x[n-numTaps] */
+      multAcc_32x32_keep32_R(acc0, x0, c0);
+
+      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
+      multAcc_32x32_keep32_R(acc1, x1, c0);
+
+      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
+      multAcc_32x32_keep32_R(acc2, x2, c0);
+
+      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
+      multAcc_32x32_keep32_R(acc3, x3, c0);
+
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb + 1u);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px + 1u);
+
+      /* Perform the multiply-accumulates */      
+      multAcc_32x32_keep32_R(acc0, x1, c0);
+      multAcc_32x32_keep32_R(acc1, x2, c0);
+      multAcc_32x32_keep32_R(acc2, x3, c0);
+      multAcc_32x32_keep32_R(acc3, x0, c0);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb + 2u);
+
+      /* Read x[n-numTaps-5] sample */
+      x1 = *(px + 2u);
+
+      /* Perform the multiply-accumulates */      
+      multAcc_32x32_keep32_R(acc0, x2, c0);
+      multAcc_32x32_keep32_R(acc1, x3, c0);
+      multAcc_32x32_keep32_R(acc2, x0, c0);
+      multAcc_32x32_keep32_R(acc3, x1, c0);
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *(pb + 3u);
+
+      /* Read x[n-numTaps-6] sample */
+      x2 = *(px + 3u);
+
+      /* Perform the multiply-accumulates */      
+      multAcc_32x32_keep32_R(acc0, x3, c0);
+      multAcc_32x32_keep32_R(acc1, x0, c0);
+      multAcc_32x32_keep32_R(acc2, x1, c0);
+      multAcc_32x32_keep32_R(acc3, x2, c0);
+
+      /* update coefficient pointer */
+      pb += 4u;
+      px += 4u;
+      
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+
+    i = numTaps - (tapCnt * 4u);
+    while(i > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x3 = *(px++);
+
+      /* Perform the multiply-accumulates */      
+      multAcc_32x32_keep32_R(acc0, x0, c0);
+      multAcc_32x32_keep32_R(acc1, x1, c0);
+      multAcc_32x32_keep32_R(acc2, x2, c0);
+      multAcc_32x32_keep32_R(acc3, x3, c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+      x2 = x3;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4;
+
+    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.31    
+     ** Then store the 4 outputs in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+    *pDst++ = (q31_t) (acc1 << 1);
+    *pDst++ = (q31_t) (acc2 << 1);
+    *pDst++ = (q31_t) (acc3 << 1);
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = (pCoeffs);
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      multAcc_32x32_keep32_R(acc0, (*px++), (*(pb++)));
+      i--;
+    } while(i > 0u);
+
+    /* The result is in 2.30 format.  Convert to 1.31    
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.    
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+
+}
+IAR_ONLY_LOW_OPTIMIZATION_EXIT
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
new file mode 100644
index 0000000..34cf7ea
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_f32.c
@@ -0,0 +1,96 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_init_f32.c    
+*    
+* Description:  Floating-point FIR filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in,out] *S points to an instance of the floating-point FIR filter structure.    
+ * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
+ * @param[in]     *pCoeffs points to the filter coefficients buffer.    
+ * @param[in]     *pState points to the state buffer.    
+ * @param[in] 	  blockSize number of samples that are processed per call.    
+ * @return 		  none.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_f32()</code>.    
+ */
+
+void arm_fir_init_f32(
+  arm_fir_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and the size of state buffer is (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
new file mode 100644
index 0000000..7eaab23
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q15.c
@@ -0,0 +1,154 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_init_q15.c    
+*    
+* Description:  Q15 FIR filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @param[in,out]  *S points to an instance of the Q15 FIR filter structure.    
+ * @param[in] 	   numTaps  Number of filter coefficients in the filter. Must be even and greater than or equal to 4.    
+ * @param[in]      *pCoeffs points to the filter coefficients buffer.    
+ * @param[in]      *pState points to the state buffer.    
+ * @param[in]      blockSize is number of samples processed per call.    
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if    
+ * <code>numTaps</code> is not greater than or equal to 4 and even.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * Note that <code>numTaps</code> must be even and greater than or equal to 4.    
+ * To implement an odd length filter simply increase <code>numTaps</code> by 1 and set the last coefficient to zero.    
+ * For example, to implement a filter with <code>numTaps=3</code> and coefficients    
+ * <pre>    
+ *     {0.3, -0.8, 0.3}    
+ * </pre>    
+ * set <code>numTaps=4</code> and use the coefficients:    
+ * <pre>    
+ *     {0.3, -0.8, 0.3, 0}.    
+ * </pre>    
+ * Similarly, to implement a two point filter    
+ * <pre>    
+ *     {0.3, -0.3}    
+ * </pre>    
+ * set <code>numTaps=4</code> and use the coefficients:    
+ * <pre>    
+ *     {0.3, -0.3, 0, 0}.    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize</code>, when running on Cortex-M4 and Cortex-M3  and is of length <code>numTaps+blockSize-1</code>, when running on Cortex-M0 where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q15()</code>.    
+ */
+
+arm_status arm_fir_init_q15(
+  arm_fir_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* The Number of filter coefficients in the filter must be even and at least 4 */
+  if(numTaps & 0x1u)
+  {
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer.  The size is always (blockSize + numTaps ) */
+    memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  status = ARM_MATH_SUCCESS;
+
+  return (status);
+
+#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
new file mode 100644
index 0000000..c2092e0
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q31.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_init_q31.c    
+*    
+* Description:	Q31 FIR filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @details    
+ *    
+ * @param[in,out] *S points to an instance of the Q31 FIR filter structure.    
+ * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
+ * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
+ * @param[in] 	  *pState points to the state buffer.    
+ * @param[in] 	  blockSize number of samples that are processed per call.    
+ * @return        none.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q31()</code>.    
+ */
+
+void arm_fir_init_q31(
+  arm_fir_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and state array size is (blockSize + numTaps - 1) */
+  memset(pState, 0, (blockSize + ((uint32_t) numTaps - 1u)) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
new file mode 100644
index 0000000..ccbc7d7
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_init_q7.c
@@ -0,0 +1,94 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_init_q7.c    
+*    
+* Description:  Q7 FIR filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+/**    
+ * @param[in,out] *S points to an instance of the Q7 FIR filter structure.    
+ * @param[in] 	  numTaps  Number of filter coefficients in the filter.    
+ * @param[in] 	  *pCoeffs points to the filter coefficients buffer.    
+ * @param[in]     *pState points to the state buffer.    
+ * @param[in]     blockSize number of samples that are processed per call.    
+ * @return     	  none    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q7()</code>.    
+ */
+
+void arm_fir_init_q7(
+  arm_fir_instance_q7 * S,
+  uint16_t numTaps,
+  q7_t * pCoeffs,
+  q7_t * pState,
+  uint32_t blockSize)
+{
+
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear the state buffer.  The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q7_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
new file mode 100644
index 0000000..5ad249e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_f32.c
@@ -0,0 +1,581 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_interpolate_f32.c    
+*    
+* Description:	FIR interpolation for floating-point sequences.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator    
+ *    
+ * These functions combine an upsampler (zero stuffer) and an FIR filter.    
+ * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.    
+ * Conceptually, the functions are equivalent to the block diagram below:    
+ * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"    
+ * After upsampling by a factor of <code>L</code>, the signal should be filtered by a lowpass filter with a normalized    
+ * cutoff frequency of <code>1/L</code> in order to eliminate high frequency copies of the spectrum.    
+ * The user of the function is responsible for providing the filter coefficients.    
+ *    
+ * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.    
+ * The upsampler inserts <code>L-1</code> zeros between each sample.    
+ * Instead of multiplying by these zero values, the FIR filter is designed to skip them.    
+ * This leads to an efficient implementation without any wasted effort.    
+ * The functions operate on blocks of input and output data.    
+ * <code>pSrc</code> points to an array of <code>blockSize</code> input values and    
+ * <code>pDst</code> points to an array of <code>blockSize*L</code> output values.    
+ *    
+ * The library provides separate functions for Q15, Q31, and floating-point data types.    
+ *    
+ * \par Algorithm:    
+ * The functions use a polyphase filter structure:    
+ * <pre>    
+ *    y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]    
+ *    y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]    
+ *    ...    
+ *    y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]    
+ * </pre>    
+ * This approach is more efficient than straightforward upsample-then-filter algorithms.    
+ * With this method the computation is reduced by a factor of <code>1/L</code> when compared to using a standard FIR filter.    
+ * \par    
+ * <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.    
+ * <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code> and this is checked by the    
+ * initialization functions.    
+ * Internally, the function divides the FIR filter's impulse response into shorter filters of length    
+ * <code>phaseLength=numTaps/L</code>.    
+ * Coefficients are stored in time reversed order.    
+ * \par    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to a state array of size <code>blockSize + phaseLength - 1</code>.    
+ * Samples in the state buffer are stored in the order:    
+ * \par    
+ * <pre>    
+ *    {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}    
+ * </pre>    
+ * The state variables are updated after each block of data is processed, the coefficients are untouched.    
+ *    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable array should be allocated separately.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * - Checks to make sure that the length of the filter is a multiple of the interpolation factor.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * The code below statically initializes each of the 3 different data type filter instance structures    
+ * <pre>    
+ * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};    
+ * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};    
+ * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};    
+ * </pre>    
+ * where <code>L</code> is the interpolation factor; <code>phaseLength=numTaps/L</code> is the    
+ * length of each of the shorter FIR filters used internally,    
+ * <code>pCoeffs</code> is the address of the coefficient buffer;    
+ * <code>pState</code> is the address of the state buffer.    
+ * Be sure to set the values in the state buffer to zeros when doing static initialization.    
+ *    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the floating-point FIR interpolator.    
+ * @param[in] *S        points to an instance of the floating-point FIR interpolator structure.    
+ * @param[in] *pSrc     points to the block of input data.    
+ * @param[out] *pDst    points to the block of output data.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none.    
+ */
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
+  float32_t sum0;                                /* Accumulators */
+  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt, j;                         /* Loop counters */
+  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+  float32_t acc0, acc1, acc2, acc3;
+  float32_t x1, x2, x3;
+  uint32_t blkCntN4;
+  float32_t c1, c2, c3;
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (phaseLen - 1u);
+
+  /* Initialise  blkCnt */
+  blkCnt = blockSize / 4;
+  blkCntN4 = blockSize - (4 * blkCnt);
+
+  /* Samples loop unrolled by 4 */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2u;
+
+      x0 = *(ptr1++);
+      x1 = *(ptr1++);
+      x2 = *(ptr1++);
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x0 * c0;
+        acc1 += x1 * c0;
+        acc2 += x2 * c0;
+        acc3 += x3 * c0;
+
+        /* Read the coefficient */
+        c1 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x1 * c1;
+        acc1 += x2 * c1;
+        acc2 += x3 * c1;
+        acc3 += x0 * c1;
+
+        /* Read the coefficient */
+        c2 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x2 * c2;
+        acc1 += x3 * c2;
+        acc2 += x0 * c2;
+        acc3 += x1 * c2;
+
+        /* Read the coefficient */
+        c3 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x2 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x3 * c3;
+        acc1 += x0 * c3;
+        acc2 += x1 * c3;
+        acc3 += x2 * c3;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x0 * c0;
+        acc1 += x1 * c0;
+        acc2 += x2 * c0;
+        acc3 += x3 * c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst = acc0;
+      *(pDst + S->L) = acc1;
+      *(pDst + 2 * S->L) = acc2;
+      *(pDst + 3 * S->L) = acc3;
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 4;
+
+    pDst += S->L * 3;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+
+  while(blkCntN4 > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2u;
+      while(tapCnt > 0u)
+      {
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += x0 * c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += x0 * c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += x0 * c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += x0 * c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4u;
+
+      while(tapCnt > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += *(ptr1++) * (*ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum0;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCntN4--;
+  }
+
+  /* Processing is complete.        
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = (phaseLen - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  tapCnt = (phaseLen - 1u) % 0x04u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *ptr1, *ptr2;                        /* Temporary pointers for state and coefficient buffers */
+
+
+  float32_t sum;                                 /* Accumulator */
+  uint32_t i, blkCnt;                            /* Loop counters */
+  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (phaseLen - 1u);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1u);
+
+      /* Loop over the polyPhase length */
+      tapCnt = phaseLen;
+
+      while(tapCnt > 0u)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *ptr1++ * *ptr2;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = phaseLen - 1u;
+
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
new file mode 100644
index 0000000..085cb57
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
@@ -0,0 +1,121 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_interpolate_init_f32.c    
+*    
+* Description:  Floating-point FIR interpolator initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the floating-point FIR interpolator.    
+ * @param[in,out] *S        points to an instance of the floating-point FIR interpolator structure.    
+ * @param[in]     L         upsample factor.    
+ * @param[in]     numTaps   number of filter coefficients in the filter.    
+ * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
+ * @param[in]     *pState   points to the state buffer.    
+ * @param[in]     blockSize number of input samples to process per call.    
+ * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words    
+ * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_f32()</code>.    
+ */
+
+arm_status arm_fir_interpolate_init_f32(
+  arm_fir_interpolate_instance_f32 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if((numTaps % L) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of state array is always phaseLength + blockSize - 1 */
+    memset(pState, 0,
+           (blockSize +
+            ((uint32_t) S->phaseLength - 1u)) * sizeof(float32_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
new file mode 100644
index 0000000..9989522
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
@@ -0,0 +1,120 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_interpolate_init_q15.c    
+*    
+* Description:  Q15 FIR interpolator initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+/**    
+ * @brief  Initialization function for the Q15 FIR interpolator.    
+ * @param[in,out] *S        points to an instance of the Q15 FIR interpolator structure.    
+ * @param[in]     L         upsample factor.    
+ * @param[in]     numTaps   number of filter coefficients in the filter.    
+ * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
+ * @param[in]     *pState   points to the state buffer.    
+ * @param[in]     blockSize number of input samples to process per call.    
+ * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words    
+ * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q15()</code>.    
+ */
+
+arm_status arm_fir_interpolate_init_q15(
+  arm_fir_interpolate_instance_q15 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if((numTaps % L) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+    memset(pState, 0,
+           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
new file mode 100644
index 0000000..1887524
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
@@ -0,0 +1,121 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_interpolate_init_q31.c    
+*    
+* Description:  Q31 FIR interpolator initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+
+/**    
+ * @brief  Initialization function for the Q31 FIR interpolator.    
+ * @param[in,out] *S        points to an instance of the Q31 FIR interpolator structure.    
+ * @param[in]     L         upsample factor.    
+ * @param[in]     numTaps   number of filter coefficients in the filter.    
+ * @param[in]     *pCoeffs  points to the filter coefficient buffer.    
+ * @param[in]     *pState   points to the state buffer.    
+ * @param[in]     blockSize number of input samples to process per call.    
+ * @return        The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if    
+ * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.    
+ * \par    
+ * <code>pState</code> points to the array of state variables.    
+ * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words    
+ * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q31()</code>.    
+ */
+
+arm_status arm_fir_interpolate_init_q31(
+  arm_fir_interpolate_instance_q31 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if((numTaps % L) != 0u)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+    memset(pState, 0,
+           (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q31_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
new file mode 100644
index 0000000..34c085a
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q15.c
@@ -0,0 +1,508 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fir_interpolate_q15.c    
+*    
+* Description:	Q15 FIR interpolation.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 FIR interpolator.    
+ * @param[in] *S        points to an instance of the Q15 FIR interpolator structure.    
+ * @param[in] *pSrc     points to the block of input data.    
+ * @param[out] *pDst    points to the block of output data.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer                                            */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
+  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
+  q63_t sum0;                                    /* Accumulators                                             */
+  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt, j, tapCnt;                 /* Loop counters                                            */
+  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+  uint32_t blkCntN2;
+  q63_t acc0, acc1;
+  q15_t x1;
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
+
+  /* Initialise  blkCnt */
+  blkCnt = blockSize / 2;
+  blkCntN2 = blockSize - (2 * blkCnt);
+
+  /* Samples loop unrolled by 2 */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0;
+      acc1 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2u;
+
+      x0 = *(ptr1++);
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 *c0;
+        acc1 += (q63_t) x0 *c0;
+
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 *c0;
+        acc1 += (q63_t) x0 *c0;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst = (q15_t) (__SSAT((acc0 >> 15), 16));
+      *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 2;
+
+    pDst += S->L;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blkCntN2;
+
+  /* Loop over the blockSize. */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2;
+      while(tapCnt > 0u)
+      {
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen & 0x3u;
+
+      while(tapCnt > 0u)
+      {
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+  /* Processing is complete.    
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = ((uint32_t) phaseLen - 1u) >> 2u;
+
+  /* copy data */
+  while(i > 0u)
+  {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+#else
+
+    *pStateCurnt++ = *pState++;
+	*pStateCurnt++ = *pState++;
+	*pStateCurnt++ = *pState++;
+	*pStateCurnt++ = *pState++;
+	
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+	
+	/* Decrement the loop counter */
+    i--;
+  }
+
+  i = ((uint32_t) phaseLen - 1u) % 0x04u;
+
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+void arm_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer                                            */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
+  q15_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers     */
+  q63_t sum;                                     /* Accumulator */
+  q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt, tapCnt;                    /* Loop counters                                            */
+  uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (phaseLen - 1u);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1u);
+
+      /* Loop over the polyPhase length */
+      tapCnt = (uint32_t) phaseLen;
+
+      while(tapCnt > 0u)
+      {
+        /* Read the coefficient */
+        c0 = *ptr2;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *ptr1++;
+
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) x0 * c0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Store the result after converting to 1.15 format in the destination buffer */
+      *pDst++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (uint32_t) phaseLen - 1u;
+
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
new file mode 100644
index 0000000..a4e91b0
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_interpolate_q31.c
@@ -0,0 +1,504 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fir_interpolate_q31.c    
+*    
+* Description:	Q31 FIR interpolation.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Interpolate    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 FIR interpolator.    
+ * @param[in] *S        points to an instance of the Q31 FIR interpolator structure.    
+ * @param[in] *pSrc     points to the block of input data.    
+ * @param[out] *pDst    points to the block of output data.    
+ * @param[in] blockSize number of input samples to process per call.    
+ * @return none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by <code>1/(numTaps/L)</code>.    
+ * since <code>numTaps/L</code> additions occur per output sample.    
+ * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.    
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
+  q63_t sum0;                                    /* Accumulators */
+  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt, j;                         /* Loop counters */
+  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+
+  uint32_t blkCntN2;
+  q63_t acc0, acc1;
+  q31_t x1;
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
+
+  /* Initialise  blkCnt */
+  blkCnt = blockSize / 2;
+  blkCntN2 = blockSize - (2 * blkCnt);
+
+  /* Samples loop unrolled by 2 */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0;
+      acc1 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2u;
+
+      x0 = *(ptr1++);
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 *c0;
+        acc1 += (q63_t) x0 *c0;
+
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 *c0;
+        acc1 += (q63_t) x0 *c0;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4u;
+
+      while(tapCnt > 0u)
+      {
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 *c0;
+        acc1 += (q63_t) x1 *c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst = (q31_t) (acc0 >> 31);
+      *(pDst + S->L) = (q31_t) (acc1 >> 31);
+
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 2;
+
+    pDst += S->L;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blkCntN2;
+
+  /* Loop over the blockSize. */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1u;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.        
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2;
+      while(tapCnt > 0u)
+      {
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.        
+         * So instead of multiplying zeros with coefficients,        
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen & 0x3u;
+
+      while(tapCnt > 0u)
+      {
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q31_t) (sum0 >> 31);
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1        
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.        
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.        
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = (phaseLen - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  tapCnt = (phaseLen - 1u) % 0x04u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+
+#else
+
+void arm_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t *ptr1, *ptr2;                            /* Temporary pointers for state and coefficient buffers */
+
+  /* Run the below code for Cortex-M0 */
+
+  q63_t sum;                                     /* Accumulator */
+  q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt;                            /* Loop counters */
+  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + ((q31_t) phaseLen - 1);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while(blkCnt > 0u)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while(i > 0u)
+    {
+      /* Set accumulator to zero */
+      sum = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1u);
+
+      tapCnt = phaseLen;
+
+      while(tapCnt > 0u)
+      {
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *ptr1++;
+
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q31_t) (sum >> 31);
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = phaseLen - 1u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+ /**    
+  * @} end of FIR_Interpolate group    
+  */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
new file mode 100644
index 0000000..4be468c
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_f32.c
@@ -0,0 +1,506 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_lattice_f32.c    
+*    
+* Description:	Processing function for the floating-point FIR Lattice filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters    
+ *    
+ * This set of functions implements Finite Impulse Response (FIR) lattice filters    
+ * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
+ * variety of adaptive filter applications.  The filter structure is feedforward and    
+ * the net impulse response is finite length.    
+ * The functions operate on blocks    
+ * of input and output data and each call to the function processes    
+ * <code>blockSize</code> samples through the filter.  <code>pSrc</code> and    
+ * <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.    
+ *    
+ * \par Algorithm:    
+ * \image html FIRLattice.gif "Finite Impulse Response Lattice filter"    
+ * The following difference equation is implemented:    
+ * <pre>    
+ *    f0[n] = g0[n] = x[n]    
+ *    fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M    
+ *    gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M    
+ *    y[n] = fM[n]    
+ * </pre>    
+ * \par    
+ * <code>pCoeffs</code> points to tha array of reflection coefficients of size <code>numStages</code>.    
+ * Reflection Coefficients are stored in the following order.    
+ * \par    
+ * <pre>    
+ *    {k1, k2, ..., kM}    
+ * </pre>    
+ * where M is number of stages    
+ * \par    
+ * <code>pState</code> points to a state array of size <code>numStages</code>.    
+ * The state variables (g values) hold previous inputs and are stored in the following order.    
+ * <pre>    
+ *    {g0[n], g1[n], g2[n] ...gM-1[n]}    
+ * </pre>    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numStages, pCoeffs, pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
+ * <pre>    
+ *arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};    
+ *arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};    
+ *arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};    
+ * </pre>    
+ * \par    
+ * where <code>numStages</code> is the number of stages in the filter; <code>pState</code> is the address of the state buffer;    
+ * <code>pCoeffs</code> is the address of the coefficient buffer.    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+
+  /**    
+   * @brief Processing function for the floating-point FIR lattice filter.    
+   * @param[in]  *S        points to an instance of the floating-point FIR lattice structure.    
+   * @param[in]  *pSrc     points to the block of input data.    
+   * @param[out] *pDst     points to the block of output data    
+   * @param[in]  blockSize number of samples to process.    
+   * @return none.    
+   */
+
+void arm_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState;                             /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *px;                                 /* temporary state pointer */
+  float32_t *pk;                                 /* temporary coefficient pointer */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t fcurr1, fnext1, gcurr1, gnext1;      /* temporary variables for first sample in loop unrolling */
+  float32_t fcurr2, fnext2, gnext2;              /* temporary variables for second sample in loop unrolling */
+  float32_t fcurr3, fnext3, gnext3;              /* temporary variables for third sample in loop unrolling */
+  float32_t fcurr4, fnext4, gnext4;              /* temporary variables for fourth sample in loop unrolling */
+  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  gcurr1 = 0.0f;
+  pState = &S->pState[0];
+
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+    /* Read two samples from input buffer */
+    /* f0(n) = x(n) */
+    fcurr1 = *pSrc++;
+    fcurr2 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Read g0(n-1) from state */
+    gcurr1 = *px;
+
+    /* Process first sample for first tap */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = fcurr1 + ((*pk) * gcurr1);
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (fcurr1 * (*pk)) + gcurr1;
+
+    /* Process second sample for first tap */
+    /* for sample 2 processing */
+    fnext2 = fcurr2 + ((*pk) * fcurr1);
+    gnext2 = (fcurr2 * (*pk)) + fcurr1;
+
+    /* Read next two samples from input buffer */
+    /* f0(n+2) = x(n+2) */
+    fcurr3 = *pSrc++;
+    fcurr4 = *pSrc++;
+
+    /* Copy only last input samples into the state buffer    
+       which will be used for next four samples processing */
+    *px++ = fcurr4;
+
+    /* Process third sample for first tap */
+    fnext3 = fcurr3 + ((*pk) * fcurr2);
+    gnext3 = (fcurr3 * (*pk)) + fcurr2;
+
+    /* Process fourth sample for first tap */
+    fnext4 = fcurr4 + ((*pk) * fcurr3);
+    gnext4 = (fcurr4 * (*pk++)) + fcurr3;
+
+    /* Update of f values for next coefficient set processing */
+    fcurr1 = fnext1;
+    fcurr2 = fnext2;
+    fcurr3 = fnext3;
+    fcurr4 = fnext4;
+
+    /* Loop unrolling.  Process 4 taps at a time . */
+    stageCnt = (numStages - 1u) >> 2u;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.    
+     ** Repeat until we've computed numStages-3 coefficients. */
+
+    /* Process 2nd, 3rd, 4th and 5th taps ... here */
+    while(stageCnt > 0u)
+    {
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext4;
+
+      /* Process first sample for 2nd, 6th .. tap */
+      /* Sample processing for K2, K6.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext1 = fcurr1 + ((*pk) * gcurr1);
+      /* Process second sample for 2nd, 6th .. tap */
+      /* for sample 2 processing */
+      fnext2 = fcurr2 + ((*pk) * gnext1);
+      /* Process third sample for 2nd, 6th .. tap */
+      fnext3 = fcurr3 + ((*pk) * gnext2);
+      /* Process fourth sample for 2nd, 6th .. tap */
+      fnext4 = fcurr4 + ((*pk) * gnext3);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      /* Calculation of state values for next stage */
+      gnext4 = (fcurr4 * (*pk)) + gnext3;
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr1 = *px;
+
+      /* save g2(n) in state buffer */
+      *px++ = gnext4;
+
+      /* Sample processing for K3, K7.... */
+      /* Process first sample for 3rd, 7th .. tap */
+      /* f3(n) = f2(n) +  K3 * g2(n-1) */
+      fcurr1 = fnext1 + ((*pk) * gcurr1);
+      /* Process second sample for 3rd, 7th .. tap */
+      fcurr2 = fnext2 + ((*pk) * gnext1);
+      /* Process third sample for 3rd, 7th .. tap */
+      fcurr3 = fnext3 + ((*pk) * gnext2);
+      /* Process fourth sample for 3rd, 7th .. tap */
+      fcurr4 = fnext4 + ((*pk) * gnext3);
+
+      /* Calculation of state values for next stage */
+      /* g3(n) = f2(n) * K3  +  g2(n-1) */
+      gnext4 = (fnext4 * (*pk)) + gnext3;
+      gnext3 = (fnext3 * (*pk)) + gnext2;
+      gnext2 = (fnext2 * (*pk)) + gnext1;
+      gnext1 = (fnext1 * (*pk++)) + gcurr1;
+
+
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr1 = *px;
+
+      /* save g3(n) in state buffer */
+      *px++ = gnext4;
+
+      /* Sample processing for K4, K8.... */
+      /* Process first sample for 4th, 8th .. tap */
+      /* f4(n) = f3(n) +  K4 * g3(n-1) */
+      fnext1 = fcurr1 + ((*pk) * gcurr1);
+      /* Process second sample for 4th, 8th .. tap */
+      /* for sample 2 processing */
+      fnext2 = fcurr2 + ((*pk) * gnext1);
+      /* Process third sample for 4th, 8th .. tap */
+      fnext3 = fcurr3 + ((*pk) * gnext2);
+      /* Process fourth sample for 4th, 8th .. tap */
+      fnext4 = fcurr4 + ((*pk) * gnext3);
+
+      /* g4(n) = f3(n) * K4  +  g3(n-1) */
+      /* Calculation of state values for next stage */
+      gnext4 = (fcurr4 * (*pk)) + gnext3;
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr1 = *px;
+
+      /* save g4(n) in state buffer */
+      *px++ = gnext4;
+
+      /* Sample processing for K5, K9.... */
+      /* Process first sample for 5th, 9th .. tap */
+      /* f5(n) = f4(n) +  K5 * g4(n-1) */
+      fcurr1 = fnext1 + ((*pk) * gcurr1);
+      /* Process second sample for 5th, 9th .. tap */
+      fcurr2 = fnext2 + ((*pk) * gnext1);
+      /* Process third sample for 5th, 9th .. tap */
+      fcurr3 = fnext3 + ((*pk) * gnext2);
+      /* Process fourth sample for 5th, 9th .. tap */
+      fcurr4 = fnext4 + ((*pk) * gnext3);
+
+      /* Calculation of state values for next stage */
+      /* g5(n) = f4(n) * K5  +  g4(n-1) */
+      gnext4 = (fnext4 * (*pk)) + gnext3;
+      gnext3 = (fnext3 * (*pk)) + gnext2;
+      gnext2 = (fnext2 * (*pk)) + gnext1;
+      gnext1 = (fnext1 * (*pk++)) + gcurr1;
+
+      stageCnt--;
+    }
+
+    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+    stageCnt = (numStages - 1u) % 0x4u;
+
+    while(stageCnt > 0u)
+    {
+      gcurr1 = *px;
+
+      /* save g value in state buffer */
+      *px++ = gnext4;
+
+      /* Process four samples for last three taps here */
+      fnext1 = fcurr1 + ((*pk) * gcurr1);
+      fnext2 = fcurr2 + ((*pk) * gnext1);
+      fnext3 = fcurr3 + ((*pk) * gnext2);
+      fnext4 = fcurr4 + ((*pk) * gnext3);
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      gnext4 = (fcurr4 * (*pk)) + gnext3;
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
+
+      /* Update of f values for next coefficient set processing */
+      fcurr1 = fnext1;
+      fcurr2 = fnext2;
+      fcurr3 = fnext3;
+      fcurr4 = fnext4;
+
+      stageCnt--;
+
+    }
+
+    /* The results in the 4 accumulators, store in the destination buffer. */
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr1;
+    *pDst++ = fcurr2;
+    *pDst++ = fcurr3;
+    *pDst++ = fcurr4;
+
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurr1 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g2(n) from state buffer */
+    gcurr1 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = fcurr1 + ((*pk) * gcurr1);
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (fcurr1 * (*pk++)) + gcurr1;
+
+    /* save g1(n) in state buffer */
+    *px++ = fcurr1;
+
+    /* f1(n) is saved in fcurr1    
+       for next stage processing */
+    fcurr1 = fnext1;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* read g2(n) from state buffer */
+      gcurr1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext1;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext1 = fcurr1 + ((*pk) * gcurr1);
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext1 = (fcurr1 * (*pk++)) + gcurr1;
+
+      /* f1(n) is saved in fcurr1    
+         for next stage processing */
+      fcurr1 = fnext1;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr1;
+
+    blkCnt--;
+
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t fcurr, fnext, gcurr, gnext;          /* temporary variables */
+  uint32_t numStages = S->numStages;             /* Length of the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurr = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = fcurr + ((*pk) * gcurr);
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = (fcurr * (*pk++)) + gcurr;
+
+    /* save f0(n) in state buffer */
+    *px++ = fcurr;
+
+    /* f1(n) is saved in fcurr            
+       for next stage processing */
+    fcurr = fnext;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* read g2(n) from state buffer */
+      gcurr = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = fcurr + ((*pk) * gcurr);
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = (fcurr * (*pk++)) + gcurr;
+
+      /* f1(n) is saved in fcurr1            
+         for next stage processing */
+      fcurr = fnext;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr;
+
+    blkCnt--;
+
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
new file mode 100644
index 0000000..c6aa00d
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
@@ -0,0 +1,83 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_lattice_init_f32.c    
+*    
+* Description:  Floating-point FIR Lattice filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+/**    
+ * @brief Initialization function for the floating-point FIR lattice filter.    
+ * @param[in] *S points to an instance of the floating-point FIR lattice structure.    
+ * @param[in] numStages  number of filter stages.    
+ * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
+ * @param[in] *pState points to the state buffer.  The array is of length numStages.    
+ * @return none.    
+ */
+
+void arm_fir_lattice_init_f32(
+  arm_fir_lattice_instance_f32 * S,
+  uint16_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
new file mode 100644
index 0000000..34f3333
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
@@ -0,0 +1,83 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_lattice_init_q15.c    
+*    
+* Description:  Q15 FIR Lattice filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for the Q15 FIR lattice filter.    
+   * @param[in] *S points to an instance of the Q15 FIR lattice structure.    
+   * @param[in] numStages  number of filter stages.    
+   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.     
+   * @param[in] *pState points to the state buffer.  The array is of length numStages.     
+   * @return none.    
+   */
+
+void arm_fir_lattice_init_q15(
+  arm_fir_lattice_instance_q15 * S,
+  uint16_t numStages,
+  q15_t * pCoeffs,
+  q15_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
new file mode 100644
index 0000000..786152f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
@@ -0,0 +1,83 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_lattice_init_q31.c    
+*    
+* Description:  Q31 FIR lattice filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for the Q31 FIR lattice filter.    
+   * @param[in] *S points to an instance of the Q31 FIR lattice structure.    
+   * @param[in] numStages  number of filter stages.    
+   * @param[in] *pCoeffs points to the coefficient buffer.  The array is of length numStages.    
+   * @param[in] *pState points to the state buffer.   The array is of length numStages.    
+   * @return none.    
+   */
+
+void arm_fir_lattice_init_q31(
+  arm_fir_lattice_instance_q31 * S,
+  uint16_t numStages,
+  q31_t * pCoeffs,
+  q31_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
new file mode 100644
index 0000000..044a500
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q15.c
@@ -0,0 +1,536 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_lattice_q15.c    
+*    
+* Description:	Q15 FIR lattice filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+
+/**    
+ * @brief Processing function for the Q15 FIR lattice filter.    
+ * @param[in]  *S        points to an instance of the Q15 FIR lattice structure.    
+ * @param[in]  *pSrc     points to the block of input data.    
+ * @param[out] *pDst     points to the block of output data    
+ * @param[in]  blockSize number of samples to process.    
+ * @return none.    
+ */
+
+void arm_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState;                                 /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *px;                                     /* temporary state pointer */
+  q15_t *pk;                                     /* temporary coefficient pointer */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t fcurnt1, fnext1, gcurnt1 = 0, gnext1;    /* temporary variables for first sample in loop unrolling */
+  q31_t fcurnt2, fnext2, gnext2;                 /* temporary variables for second sample in loop unrolling */
+  q31_t fcurnt3, fnext3, gnext3;                 /* temporary variables for third sample in loop unrolling */
+  q31_t fcurnt4, fnext4, gnext4;                 /* temporary variables for fourth sample in loop unrolling */
+  uint32_t numStages = S->numStages;             /* Number of stages in the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+    /* Read two samples from input buffer */
+    /* f0(n) = x(n) */
+    fcurnt1 = *pSrc++;
+    fcurnt2 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Read g0(n-1) from state */
+    gcurnt1 = *px;
+
+    /* Process first sample for first tap */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+    fnext1 = __SSAT(fnext1, 16);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + gcurnt1;
+    gnext1 = __SSAT(gnext1, 16);
+
+    /* Process second sample for first tap */
+    /* for sample 2 processing */
+    fnext2 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + fcurnt2;
+    fnext2 = __SSAT(fnext2, 16);
+
+    gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt1;
+    gnext2 = __SSAT(gnext2, 16);
+
+
+    /* Read next two samples from input buffer */
+    /* f0(n+2) = x(n+2) */
+    fcurnt3 = *pSrc++;
+    fcurnt4 = *pSrc++;
+
+    /* Copy only last input samples into the state buffer    
+       which is used for next four samples processing */
+    *px++ = (q15_t) fcurnt4;
+
+    /* Process third sample for first tap */
+    fnext3 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt3;
+    fnext3 = __SSAT(fnext3, 16);
+    gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt2;
+    gnext3 = __SSAT(gnext3, 16);
+
+    /* Process fourth sample for first tap */
+    fnext4 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt4;
+    fnext4 = __SSAT(fnext4, 16);
+    gnext4 = (q31_t) ((fcurnt4 * (*pk++)) >> 15u) + fcurnt3;
+    gnext4 = __SSAT(gnext4, 16);
+
+    /* Update of f values for next coefficient set processing */
+    fcurnt1 = fnext1;
+    fcurnt2 = fnext2;
+    fcurnt3 = fnext3;
+    fcurnt4 = fnext4;
+
+
+    /* Loop unrolling.  Process 4 taps at a time . */
+    stageCnt = (numStages - 1u) >> 2;
+
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.    
+     ** Repeat until we've computed numStages-3 coefficients. */
+
+    /* Process 2nd, 3rd, 4th and 5th taps ... here */
+    while(stageCnt > 0u)
+    {
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurnt1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext4;
+
+      /* Process first sample for 2nd, 6th .. tap */
+      /* Sample processing for K2, K6.... */
+      /* f1(n) = f0(n) +  K1 * g0(n-1) */
+      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+      fnext1 = __SSAT(fnext1, 16);
+
+
+      /* Process second sample for 2nd, 6th .. tap */
+      /* for sample 2 processing */
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
+      fnext2 = __SSAT(fnext2, 16);
+      /* Process third sample for 2nd, 6th .. tap */
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
+      fnext3 = __SSAT(fnext3, 16);
+      /* Process fourth sample for 2nd, 6th .. tap */
+      /* fnext4 = fcurnt4 + (*pk) * gnext3; */
+      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
+      fnext4 = __SSAT(fnext4, 16);
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      /* Calculation of state values for next stage */
+      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
+      gnext4 = __SSAT(gnext4, 16);
+      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurnt1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext4;
+
+      /* Sample processing for K3, K7.... */
+      /* Process first sample for 3rd, 7th .. tap */
+      /* f3(n) = f2(n) +  K3 * g2(n-1) */
+      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
+      fcurnt1 = __SSAT(fcurnt1, 16);
+
+      /* Process second sample for 3rd, 7th .. tap */
+      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
+      fcurnt2 = __SSAT(fcurnt2, 16);
+
+      /* Process third sample for 3rd, 7th .. tap */
+      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
+      fcurnt3 = __SSAT(fcurnt3, 16);
+
+      /* Process fourth sample for 3rd, 7th .. tap */
+      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
+      fcurnt4 = __SSAT(fcurnt4, 16);
+
+      /* Calculation of state values for next stage */
+      /* g3(n) = f2(n) * K3  +  g2(n-1) */
+      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
+      gnext4 = __SSAT(gnext4, 16);
+
+      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurnt1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext4;
+
+      /* Sample processing for K4, K8.... */
+      /* Process first sample for 4th, 8th .. tap */
+      /* f4(n) = f3(n) +  K4 * g3(n-1) */
+      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+      fnext1 = __SSAT(fnext1, 16);
+
+      /* Process second sample for 4th, 8th .. tap */
+      /* for sample 2 processing */
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
+      fnext2 = __SSAT(fnext2, 16);
+
+      /* Process third sample for 4th, 8th .. tap */
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
+      fnext3 = __SSAT(fnext3, 16);
+
+      /* Process fourth sample for 4th, 8th .. tap */
+      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
+      fnext4 = __SSAT(fnext4, 16);
+
+      /* g4(n) = f3(n) * K4  +  g3(n-1) */
+      /* Calculation of state values for next stage */
+      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
+      gnext4 = __SSAT(gnext4, 16);
+
+      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurnt1 = *px;
+
+      /* save g4(n) in state buffer */
+      *px++ = (q15_t) gnext4;
+
+      /* Sample processing for K5, K9.... */
+      /* Process first sample for 5th, 9th .. tap */
+      /* f5(n) = f4(n) +  K5 * g4(n-1) */
+      fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1;
+      fcurnt1 = __SSAT(fcurnt1, 16);
+
+      /* Process second sample for 5th, 9th .. tap */
+      fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2;
+      fcurnt2 = __SSAT(fcurnt2, 16);
+
+      /* Process third sample for 5th, 9th .. tap */
+      fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3;
+      fcurnt3 = __SSAT(fcurnt3, 16);
+
+      /* Process fourth sample for 5th, 9th .. tap */
+      fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4;
+      fcurnt4 = __SSAT(fcurnt4, 16);
+
+      /* Calculation of state values for next stage */
+      /* g5(n) = f4(n) * K5  +  g4(n-1) */
+      gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3;
+      gnext4 = __SSAT(gnext4, 16);
+      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+      gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+      stageCnt--;
+    }
+
+    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+    stageCnt = (numStages - 1u) % 0x4u;
+
+    while(stageCnt > 0u)
+    {
+      gcurnt1 = *px;
+
+      /* save g value in state buffer */
+      *px++ = (q15_t) gnext4;
+
+      /* Process four samples for last three taps here */
+      fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+      fnext1 = __SSAT(fnext1, 16);
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2;
+      fnext2 = __SSAT(fnext2, 16);
+
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3;
+      fnext3 = __SSAT(fnext3, 16);
+
+      fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4;
+      fnext4 = __SSAT(fnext4, 16);
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3;
+      gnext4 = __SSAT(gnext4, 16);
+      gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+      gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+      gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+      /* Update of f values for next coefficient set processing */
+      fcurnt1 = fnext1;
+      fcurnt2 = fnext2;
+      fcurnt3 = fnext3;
+      fcurnt4 = fnext4;
+
+      stageCnt--;
+
+    }
+
+    /* The results in the 4 accumulators, store in the destination buffer. */
+    /* y(n) = fN(n) */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ = __PKHBT(fcurnt1, fcurnt2, 16);
+    *__SIMD32(pDst)++ = __PKHBT(fcurnt3, fcurnt4, 16);
+
+#else
+
+    *__SIMD32(pDst)++ = __PKHBT(fcurnt2, fcurnt1, 16);
+    *__SIMD32(pDst)++ = __PKHBT(fcurnt4, fcurnt3, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurnt1 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g2(n) from state buffer */
+    gcurnt1 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+    fnext1 = __SSAT(fnext1, 16);
+
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
+    gnext1 = __SSAT(gnext1, 16);
+
+    /* save g1(n) in state buffer */
+    *px++ = (q15_t) fcurnt1;
+
+    /* f1(n) is saved in fcurnt1    
+       for next stage processing */
+    fcurnt1 = fnext1;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* read g2(n) from state buffer */
+      gcurnt1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext1;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1;
+      fnext1 = __SSAT(fnext1, 16);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1;
+      gnext1 = __SSAT(gnext1, 16);
+
+
+      /* f1(n) is saved in fcurnt1    
+         for next stage processing */
+      fcurnt1 = fnext1;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = __SSAT(fcurnt1, 16);
+
+
+    blkCnt--;
+
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t fcurnt, fnext, gcurnt, gnext;            /* temporary variables */
+  uint32_t numStages = S->numStages;             /* Length of the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurnt = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurnt = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
+    fnext = __SSAT(fnext, 16);
+
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
+    gnext = __SSAT(gnext, 16);
+
+    /* save f0(n) in state buffer */
+    *px++ = (q15_t) fcurnt;
+
+    /* f1(n) is saved in fcurnt            
+       for next stage processing */
+    fcurnt = fnext;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* read g1(n-1) from state buffer */
+      gcurnt = *px;
+
+      /* save g0(n-1) in state buffer */
+      *px++ = (q15_t) gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt;
+      fnext = __SSAT(fnext, 16);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt;
+      gnext = __SSAT(gnext, 16);
+
+
+      /* f1(n) is saved in fcurnt            
+         for next stage processing */
+      fcurnt = fnext;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = __SSAT(fcurnt, 16);
+
+
+    blkCnt--;
+
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
new file mode 100644
index 0000000..4a64538
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_lattice_q31.c
@@ -0,0 +1,353 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_lattice_q31.c    
+*    
+* Description:	Q31 FIR lattice filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Lattice    
+ * @{    
+ */
+
+
+/**    
+ * @brief Processing function for the Q31 FIR lattice filter.    
+ * @param[in]  *S        points to an instance of the Q31 FIR lattice structure.    
+ * @param[in]  *pSrc     points to the block of input data.    
+ * @param[out] *pDst     points to the block of output data    
+ * @param[in]  blockSize number of samples to process.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.    
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState;                                 /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *px;                                     /* temporary state pointer */
+  q31_t *pk;                                     /* temporary coefficient pointer */
+  q31_t fcurr1, fnext1, gcurr1 = 0, gnext1;      /* temporary variables for first sample in loop unrolling */
+  q31_t fcurr2, fnext2, gnext2;                  /* temporary variables for second sample in loop unrolling */
+  uint32_t numStages = S->numStages;             /* Length of the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+  q31_t k;
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize >> 1u;
+
+  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.        
+     a second loop below computes the remaining 1 sample. */
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurr1 = *pSrc++;
+
+    /* f0(n) = x(n) */
+    fcurr2 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n - 1) from state buffer */
+    gcurr1 = *px;
+
+    /* Read the reflection coefficient */
+    k = *pk++;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
+    fnext1 = fcurr1 + (fnext1 << 1u);
+    gnext1 = gcurr1 + (gnext1 << 1u);
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext2 = (q31_t) (((q63_t) fcurr1 * k) >> 32);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
+    fnext2 = fcurr2 + (fnext2 << 1u);
+    gnext2 = fcurr1 + (gnext2 << 1u);
+
+    /* save g1(n) in state buffer */
+    *px++ = fcurr2;
+
+    /* f1(n) is saved in fcurr1        
+       for next stage processing */
+    fcurr1 = fnext1;
+    fcurr2 = fnext2;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+
+      /* Read the reflection coefficient */
+      k = *pk++;
+
+      /* read g2(n) from state buffer */
+      gcurr1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext2;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
+      fnext2 = (q31_t) (((q63_t) gnext1 * k) >> 32);
+
+      fnext1 = fcurr1 + (fnext1 << 1u);
+      fnext2 = fcurr2 + (fnext2 << 1u);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32);
+      gnext2 = gnext1 + (gnext2 << 1u);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
+      gnext1 = gcurr1 + (gnext1 << 1u);
+
+      /* f1(n) is saved in fcurr1        
+         for next stage processing */
+      fcurr1 = fnext1;
+      fcurr2 = fnext2;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr1;
+    *pDst++ = fcurr2;
+
+    blkCnt--;
+
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x2u;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurr1 = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n - 1) from state buffer */
+    gcurr1 = *px;
+
+    /* Read the reflection coefficient */
+    k = *pk++;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
+    fnext1 = fcurr1 + (fnext1 << 1u);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
+    gnext1 = gcurr1 + (gnext1 << 1u);
+
+    /* save g1(n) in state buffer */
+    *px++ = fcurr1;
+
+    /* f1(n) is saved in fcurr1        
+       for next stage processing */
+    fcurr1 = fnext1;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* Read the reflection coefficient */
+      k = *pk++;
+
+      /* read g2(n) from state buffer */
+      gcurr1 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext1;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32);
+      fnext1 = fcurr1 + (fnext1 << 1u);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32);
+      gnext1 = gcurr1 + (gnext1 << 1u);
+
+      /* f1(n) is saved in fcurr1        
+         for next stage processing */
+      fcurr1 = fnext1;
+
+      stageCnt--;
+
+    }
+
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr1;
+
+    blkCnt--;
+
+  }
+
+
+}
+
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+void arm_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState;                                 /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *px;                                     /* temporary state pointer */
+  q31_t *pk;                                     /* temporary coefficient pointer */
+  q31_t fcurr, fnext, gcurr, gnext;              /* temporary variables */
+  uint32_t numStages = S->numStages;             /* Length of the filter */
+  uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* f0(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurr = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
+    /* save g1(n) in state buffer */
+    *px++ = fcurr;
+
+    /* f1(n) is saved in fcurr1            
+       for next stage processing */
+    fcurr = fnext;
+
+    stageCnt = (numStages - 1u);
+
+    /* stage loop */
+    while(stageCnt > 0u)
+    {
+      /* read g2(n) from state buffer */
+      gcurr = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
+
+      /* f1(n) is saved in fcurr1            
+         for next stage processing */
+      fcurr = fnext;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr;
+
+    blkCnt--;
+
+  }
+
+}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+
+/**    
+ * @} end of FIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
new file mode 100644
index 0000000..b0d3d09
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_q15.c
@@ -0,0 +1,691 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_q15.c    
+*    
+* Description:  Q15 FIR filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**       
+ * @ingroup groupFilters       
+ */
+
+/**       
+ * @addtogroup FIR       
+ * @{       
+ */
+
+/**       
+ * @brief Processing function for the Q15 FIR filter.       
+ * @param[in] *S points to an instance of the Q15 FIR structure.       
+ * @param[in] *pSrc points to the block of input data.       
+ * @param[out] *pDst points to the block of output data.       
+ * @param[in]  blockSize number of samples to process per call.       
+ * @return none.       
+ *   
+ *   
+ * \par Restrictions   
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE   
+ *	In this case input, output, state buffers should be aligned by 32-bit   
+ *   
+ * <b>Scaling and Overflow Behavior:</b>       
+ * \par       
+ * The function is implemented using a 64-bit internal accumulator.       
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.       
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.       
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.       
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.       
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.       
+ *       
+ * \par       
+ * Refer to the function <code>arm_fir_fast_q15()</code> for a faster but less precise implementation of this function.       
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+/* Run the below code for Cortex-M4 and Cortex-M3 */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+
+void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px1;                                    /* Temporary q15 pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold SIMD state and coefficient values */
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.       
+   * The variables acc0 ... acc3 hold output values that are being computed:       
+   *       
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]       
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]       
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]       
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]       
+   */
+
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.       
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy four new input samples into the state buffer.       
+     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer of type q15 */
+    px1 = pState;
+
+    /* Initialize coeff pointer of type q31 */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
+    x0 = _SIMD32_OFFSET(px1);
+
+    /* Read the third and forth samples from the state buffer: x[n-N-1], x[n-N-2] */
+    x1 = _SIMD32_OFFSET(px1 + 1u);
+
+    px1 += 2u;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.       
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Read state x[n-N-2], x[n-N-3] */
+      x2 = _SIMD32_OFFSET(px1);
+
+      /* Read state x[n-N-3], x[n-N-4] */
+      x3 = _SIMD32_OFFSET(px1 + 1u);
+
+      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+      acc2 = __SMLALD(x2, c0, acc2);
+
+      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+      acc3 = __SMLALD(x3, c0, acc3);
+
+      /* Read coefficients b[N-2], b[N-3] */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+      acc0 = __SMLALD(x2, c0, acc0);
+
+      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+      acc1 = __SMLALD(x3, c0, acc1);
+
+      /* Read state x[n-N-4], x[n-N-5] */
+      x0 = _SIMD32_OFFSET(px1 + 2u);
+
+      /* Read state x[n-N-5], x[n-N-6] */
+      x1 = _SIMD32_OFFSET(px1 + 3u);
+
+      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+      acc2 = __SMLALD(x0, c0, acc2);
+
+      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+      acc3 = __SMLALD(x1, c0, acc3);
+
+      px1 += 4u;
+
+      tapCnt--;
+
+    }
+
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
+     ** This is always be 2 taps since the filter length is even. */
+    if((numTaps & 0x3u) != 0u)
+    {
+      /* Read 2 coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Fetch 4 state variables */
+      x2 = _SIMD32_OFFSET(px1);
+
+      x3 = _SIMD32_OFFSET(px1 + 1u);
+
+      /* Perform the multiply-accumulates */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      px1 += 2u;
+
+      acc1 = __SMLALD(x1, c0, acc1);
+      acc2 = __SMLALD(x2, c0, acc2);
+      acc3 = __SMLALD(x3, c0, acc3);
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the 4 outputs in the destination buffer. */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
+
+
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.       
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+  while(blkCnt > 0u)
+  {
+    /* Copy two samples into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer of type q15 */
+    px1 = pState;
+
+    /* Initialize coeff pointer of type q31 */
+    pb = pCoeffs;
+
+    tapCnt = numTaps >> 1;
+
+    do
+    {
+
+      c0 = *__SIMD32(pb)++;
+      x0 = *__SIMD32(px1)++;
+
+      acc0 = __SMLALD(x0, c0, acc0);
+      tapCnt--;
+    }
+    while(tapCnt > 0u);
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.       
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculation of count for copying integer writes */
+  tapCnt = (numTaps - 1u) >> 2;
+
+  while(tapCnt > 0u)
+  {
+
+    /* Copy state values to start of state buffer */
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+    tapCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* copy remaining data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+#else /* UNALIGNED_SUPPORT_DISABLE */
+
+void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q63_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q15_t *px;                                     /* Temporary q31 pointer for SIMD state buffer accesses */
+  q31_t x0, x1, x2, c0;                          /* Temporary variables to hold SIMD state and coefficient values */
+  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.      
+   * The variables acc0 ... acc3 hold output values that are being computed:      
+   *      
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]      
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]      
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]      
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]      
+   */
+
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy four new input samples into the state buffer.      
+     ** Use 32-bit SIMD to move the 16-bit data.  Only requires two copies. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+    px = pState;
+
+    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
+    x0 = *__SIMD32(px)++;
+
+    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+    x2 = *__SIMD32(px)++;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.      
+     ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0)
+    {
+      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+      acc2 = __SMLALD(x2, c0, acc2);
+
+      /* pack  x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read state x[n-N-4], x[n-N-5] */
+      x0 = _SIMD32_OFFSET(px);
+
+      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack  x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+      acc3 = __SMLALDX(x1, c0, acc3);
+
+      /* Read coefficients b[N-2], b[N-3] */
+      c0 = *__SIMD32(pb)++;
+
+      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+      acc0 = __SMLALD(x2, c0, acc0);
+
+      /* Read state x[n-N-6], x[n-N-7] with offset */
+      x2 = _SIMD32_OFFSET(px + 2u);
+
+      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+      acc2 = __SMLALD(x0, c0, acc2);
+
+      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack  x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+      acc3 = __SMLALDX(x1, c0, acc3);
+
+      /* Update state pointer for next state reading */
+      px += 4u;
+
+      /* Decrement tap count */
+      tapCnt--;
+
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps.       
+     ** This is always be 2 taps since the filter length is even. */
+    if((numTaps & 0x3u) != 0u)
+    {
+
+      /* Read last two coefficients */
+      c0 = *__SIMD32(pb)++;
+
+      /* Perform the multiply-accumulates */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc2 = __SMLALD(x2, c0, acc2);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read last state variables */
+      x0 = *__SIMD32(px);
+
+      /* Perform the multiply-accumulates */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* Perform the multiply-accumulates */
+      acc3 = __SMLALDX(x1, c0, acc3);
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format.  Convert to 1.15 with saturation.       
+     ** Then store the 4 outputs in the destination buffer. */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16);
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16);
+
+#else
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16);
+
+    *__SIMD32(pDst)++ =
+      __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN       */
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.      
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+  while(blkCnt > 0u)
+  {
+    /* Copy two samples into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Use SIMD to hold states and coefficients */
+    px = pState;
+    pb = pCoeffs;
+
+    tapCnt = numTaps >> 1u;
+
+    do
+    {
+      acc0 += (q31_t) * px++ * *pb++;
+	  acc0 += (q31_t) * px++ * *pb++;
+      tapCnt--;
+    }
+    while(tapCnt > 0u);
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.      
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.      
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.      
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculation of count for copying integer writes */
+  tapCnt = (numTaps - 1u) >> 2;
+
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    tapCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* copy remaining data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+
+#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+#else /* ARM_MATH_CM0_FAMILY */
+
+
+/* Run the below code for Cortex-M0 */
+
+void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+
+
+
+  q15_t *px;                                     /* Temporary pointer for state buffer */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q63_t acc;                                     /* Accumulator */
+  uint32_t numTaps = S->numTaps;                 /* Number of nTaps in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Initialize blkCnt with blockSize */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    tapCnt = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+      acc += (q31_t) * px++ * *pb++;
+      tapCnt--;
+    } while(tapCnt > 0u);
+
+    /* The result is in 2.30 format.  Convert to 1.15         
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) __SSAT((acc >> 15u), 16);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Copy numTaps number of values */
+  tapCnt = (numTaps - 1u);
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+
+
+/**       
+ * @} end of FIR group       
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
new file mode 100644
index 0000000..3536059
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_q31.c
@@ -0,0 +1,365 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_q31.c    
+*    
+* Description:	Q31 FIR filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @param[in] *S points to an instance of the Q31 FIR filter structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in] blockSize number of samples to process per call.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.    
+ * After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.  
+ *    
+ * \par    
+ * Refer to the function <code>arm_fir_fast_q31()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4.    
+ */
+
+void arm_fir_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t x0, x1, x2;                              /* Temporary variables to hold state */
+  q31_t c0;                                      /* Temporary variable to hold coefficient value */
+  q31_t *px;                                     /* Temporary pointer for state */
+  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q63_t acc0, acc1, acc2;                        /* Accumulators */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, tapCnt, blkCnt, tapCntN3;          /* Loop counters */
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.    
+   * The variables acc0 ... acc3 hold output values that are being computed:    
+   *    
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
+   */
+  blkCnt = blockSize / 3;
+  blockSize = blockSize - (3 * blkCnt);
+
+  tapCnt = numTaps / 3;
+  tapCntN3 = numTaps - (3 * tapCnt);
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy three new input samples into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:    
+     *  x[n-numTaps], x[n-numTaps-1] */
+    x0 = *(px++);
+    x1 = *(px++);
+
+    /* Loop unrolling.  Process 3 taps at a time. */
+    i = tapCnt;
+
+    while(i > 0u)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-2] sample */
+      x2 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x0 * c0);
+      acc1 += ((q63_t) x1 * c0);
+      acc2 += ((q63_t) x2 * c0);
+
+      /* Read the coefficient and state */
+      c0 = *(pb + 1u);
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x1 * c0);
+      acc1 += ((q63_t) x2 * c0);
+      acc2 += ((q63_t) x0 * c0);
+
+      /* Read the coefficient and state */
+      c0 = *(pb + 2u);
+      x1 = *(px++);
+
+      /* update coefficient pointer */
+      pb += 3u;
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x2 * c0);
+      acc1 += ((q63_t) x0 * c0);
+      acc2 += ((q63_t) x1 * c0);
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* If the filter length is not a multiple of 3, compute the remaining filter taps */
+
+    i = tapCntN3;
+
+    while(i > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x2 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x0 * c0);
+      acc1 += ((q63_t) x1 * c0);
+      acc2 += ((q63_t) x2 * c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 3 to process the next group of 3 samples */
+    pState = pState + 3;
+
+    /* The results in the 3 accumulators are in 2.30 format.  Convert to 1.31    
+     ** Then store the 3 outputs in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31u);
+    *pDst++ = (q31_t) (acc1 >> 31u);
+    *pDst++ = (q31_t) (acc2 >> 31u);
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 3, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+
+  while(blockSize > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = (pCoeffs);
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      acc0 += (q63_t) * (px++) * (*(pb++));
+      i--;
+    } while(i > 0u);
+
+    /* The result is in 2.62 format.  Convert to 1.31    
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31u);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the samples loop counter */
+    blockSize--;
+  }
+
+  /* Processing is complete.    
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  q31_t *px;                                     /* Temporary pointer for state */
+  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  q63_t acc;                                     /* Accumulator */
+  uint32_t numTaps = S->numTaps;                 /* Length of the filter */
+  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Initialize blkCnt with blockSize */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+      acc += (q63_t) * px++ * *pb++;
+      i--;
+    } while(i > 0u);
+
+    /* The result is in 2.62 format.  Convert to 1.31         
+     ** Then store the output in the destination buffer. */
+    *pDst++ = (q31_t) (acc >> 31u);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Copy numTaps number of values */
+  tapCnt = numTaps - 1u;
+
+  /* Copy the data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+
+#endif /*  #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
new file mode 100644
index 0000000..24a50dc
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_q7.c
@@ -0,0 +1,397 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_q7.c    
+*    
+* Description:  Q7 FIR filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR    
+ * @{    
+ */
+
+/**    
+ * @param[in]   *S points to an instance of the Q7 FIR filter structure.    
+ * @param[in]   *pSrc points to the block of input data.    
+ * @param[out]  *pDst points to the block of output data.    
+ * @param[in]   blockSize number of samples to process per call.    
+ * @return 	none.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * The accumulator is converted to 18.7 format by discarding the low 7 bits.    
+ * Finally, the result is truncated to 1.7 format.    
+ */
+
+void arm_fir_q7(
+  const arm_fir_instance_q7 * S,
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t *pState = S->pState;                      /* State pointer */
+  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
+  q7_t x0, x1, x2, x3;                           /* Temporary variables to hold state */
+  q7_t c0;                                       /* Temporary variable to hold coefficient value */
+  q7_t *px;                                      /* Temporary pointer for state */
+  q7_t *pb;                                      /* Temporary pointer for coefficient buffer */
+  q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Apply loop unrolling and compute 4 output values simultaneously.    
+   * The variables acc0 ... acc3 hold output values that are being computed:    
+   *    
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]    
+   *    acc1 =  b[numTaps-1] * x[n-numTaps] +   b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]    
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] +   b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]    
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]    
+   */
+  blkCnt = blockSize >> 2;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Copy four new input samples into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first three samples from the state buffer:    
+     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+    x0 = *(px++);
+    x1 = *(px++);
+    x2 = *(px++);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+    i = tapCnt;
+
+    while(i > 0u)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-3] sample */
+      x3 = *px;
+      
+      /* acc0 +=  b[numTaps] * x[n-numTaps] */
+      acc0 += ((q15_t) x0 * c0);
+
+      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
+      acc1 += ((q15_t) x1 * c0);
+
+      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
+      acc2 += ((q15_t) x2 * c0);
+
+      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
+      acc3 += ((q15_t) x3 * c0);
+
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb + 1u);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px + 1u);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x1 * c0);
+      acc1 += ((q15_t) x2 * c0);
+      acc2 += ((q15_t) x3 * c0);
+      acc3 += ((q15_t) x0 * c0);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb + 2u);
+
+      /* Read x[n-numTaps-5] sample */
+      x1 = *(px + 2u);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x2 * c0);
+      acc1 += ((q15_t) x3 * c0);
+      acc2 += ((q15_t) x0 * c0);
+      acc3 += ((q15_t) x1 * c0);
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *(pb + 3u);
+
+      /* Read x[n-numTaps-6] sample */
+      x2 = *(px + 3u);
+      
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x3 * c0);
+      acc1 += ((q15_t) x0 * c0);
+      acc2 += ((q15_t) x1 * c0);
+      acc3 += ((q15_t) x2 * c0);
+
+      /* update coefficient pointer */
+      pb += 4u;
+      px += 4u;
+      
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+
+    i = numTaps - (tapCnt * 4u);
+    while(i > 0u)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x3 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x0 * c0);
+      acc1 += ((q15_t) x1 * c0);
+      acc2 += ((q15_t) x2 * c0);
+      acc3 += ((q15_t) x3 * c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+      x2 = x3;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4;
+
+    /* The results in the 4 accumulators are in 2.62 format.  Convert to 1.31    
+     ** Then store the 4 outputs in the destination buffer. */
+    acc0 = __SSAT((acc0 >> 7u), 8);
+    *pDst++ = acc0;
+    acc1 = __SSAT((acc1 >> 7u), 8);
+    *pDst++ = acc1;
+    acc2 = __SSAT((acc2 >> 7u), 8);
+    *pDst++ = acc2;
+    acc3 = __SSAT((acc3 >> 7u), 8);
+    *pDst++ = acc3;
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = (pCoeffs);
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      acc0 += (q15_t) * (px++) * (*(pb++));
+      i--;
+    } while(i > 0u);
+
+    /* The result is in 2.14 format.  Convert to 1.7    
+     ** Then store the output in the destination buffer. */
+    *pDst++ = __SSAT((acc0 >> 7u), 8);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the samples loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.    
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.    
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  uint32_t numTaps = S->numTaps;                 /* Number of taps in the filter */
+  uint32_t i, blkCnt;                            /* Loop counters */
+  q7_t *pState = S->pState;                      /* State pointer */
+  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+  q7_t *px, *pb;                                 /* Temporary pointers to state and coeff */
+  q31_t acc = 0;                                 /* Accumlator */
+  q7_t *pStateCurnt;                             /* Points to the current sample of the state */
+
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1u);
+
+  /* Initialize blkCnt with blockSize */
+  blkCnt = blockSize;
+
+  /* Perform filtering upto BlockSize - BlockSize%4  */
+  while(blkCnt > 0u)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set accumulator to zero */
+    acc = 0;
+
+    /* Initialize state pointer of type q7 */
+    px = pState;
+
+    /* Initialize coeff pointer of type q7 */
+    pb = pCoeffs;
+
+
+    i = numTaps;
+
+    while(i > 0u)
+    {
+      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+      acc += (q15_t) * px++ * *pb++;
+      i--;
+    }
+
+    /* Store the 1.7 format filter output in destination buffer */
+    *pDst++ = (q7_t) __SSAT((acc >> 7), 8);
+
+    /* Advance the state pointer by 1 to process the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+
+  /* Copy numTaps number of values */
+  i = (numTaps - 1u);
+
+  /* Copy q7_t data */
+  while(i > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    i--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
new file mode 100644
index 0000000..9ef8edf
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_f32.c
@@ -0,0 +1,444 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_sparse_f32.c    
+*    
+* Description:	Floating-point sparse FIR filter processing function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters    
+ *    
+ * This group of functions implements sparse FIR filters.     
+ * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.   
+ * Sparse filters are used for simulating reflections in communications and audio applications.   
+ *   
+ * There are separate functions for Q7, Q15, Q31, and floating-point data types.    
+ * The functions operate on blocks  of input and output data and each call to the function processes    
+ * <code>blockSize</code> samples through the filter.  <code>pSrc</code> and    
+ * <code>pDst</code> points to input and output arrays respectively containing <code>blockSize</code> values.    
+ *    
+ * \par Algorithm:    
+ * The sparse filter instant structure contains an array of tap indices <code>pTapDelay</code> which specifies the locations of the non-zero coefficients.   
+ * This is in addition to the coefficient array <code>b</code>.   
+ * The implementation essentially skips the multiplications by zero and leads to an efficient realization.   
+ * <pre>   
+ *     y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]    
+ * </pre>    
+ * \par    
+ * \image html FIRSparse.gif "Sparse FIR filter.  b[n] represents the filter coefficients"   
+ * \par    
+ * <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>;    
+ * <code>pTapDelay</code> points to an array of nonzero indices and is also of size <code>numTaps</code>;   
+ * <code>pState</code> points to a state array of size <code>maxDelay + blockSize</code>, where   
+ * <code>maxDelay</code> is the largest offset value that is ever used in the <code>pTapDelay</code> array.   
+ * Some of the processing functions also require temporary working buffers.   
+ *   
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.    
+ * There are separate instance structure declarations for each of the 4 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros before static initialization.    
+ * The code below statically initializes each of the 4 different data type filter instance structures    
+ * <pre>    
+ *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+ *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+ *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+ *arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+ * </pre>    
+ * \par    
+ *    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the sparse FIR filter functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief Processing function for the floating-point sparse FIR filter.   
+ * @param[in]  *S          points to an instance of the floating-point sparse FIR structure.   
+ * @param[in]  *pSrc       points to the block of input data.   
+ * @param[out] *pDst       points to the block of output data   
+ * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
+ * @param[in]  blockSize   number of input samples to process per call.   
+ * @return none.   
+ */
+
+void arm_fir_sparse_f32(
+  arm_fir_sparse_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  float32_t * pScratchIn,
+  uint32_t blockSize)
+{
+
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *px;                                 /* Scratch buffer pointer */
+  float32_t *py = pState;                        /* Temporary pointers for state buffer */
+  float32_t *pb = pScratchIn;                    /* Temporary pointers for scratch buffer */
+  float32_t *pOut;                               /* Destination pointer */
+  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+  uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+  int32_t readIndex;                             /* Read index of the state buffer */
+  uint32_t tapCnt, blkCnt;                       /* loop counters */
+  float32_t coeff = *pCoeffs++;                  /* Read the first coefficient value */
+
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+                        (int32_t *) pSrc, 1, blockSize);
+
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                       blockSize);
+
+  /* Working pointer for the scratch buffer */
+  px = pb;
+
+  /* Working pointer for destination buffer */
+  pOut = pDst;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Loop over the blockSize. Unroll by a factor of 4.    
+   * Compute 4 Multiplications at a time. */
+  blkCnt = blockSize >> 2u;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+    *pOut++ = *px++ * coeff;
+    *pOut++ = *px++ * coeff;
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+   * compute the remaining samples */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and    
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer */
+    px = pb;
+
+    /* Working pointer for destination buffer */
+    pOut = pDst;
+
+    /* Loop over the blockSize. Unroll by a factor of 4.    
+     * Compute 4 MACS at a time. */
+    blkCnt = blockSize >> 2u;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+      *pOut++ += *px++ * coeff;
+      *pOut++ += *px++ * coeff;
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4,    
+     * compute the remaining samples */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and    
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = ((int32_t) S->stateIndex -
+                 (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */
+
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer */
+	px = pb;
+
+	/* Working pointer for destination buffer */
+	pOut = pDst;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+#else
+
+/* Run the below code for Cortex-M0 */
+
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and           
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer */
+    px = pb;
+
+    /* Working pointer for destination buffer */
+    pOut = pDst;
+
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex =
+      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer */
+	px = pb;
+
+	/* Working pointer for destination buffer */
+	pOut = pDst;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pOut++ += *px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY        */
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
new file mode 100644
index 0000000..a0fa81c
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_sparse_init_f32.c    
+*    
+* Description:	Floating-point sparse FIR filter initialization function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the floating-point sparse FIR filter.   
+ * @param[in,out] *S         points to an instance of the floating-point sparse FIR structure.   
+ * @param[in]     numTaps    number of nonzero coefficients in the filter.   
+ * @param[in]     *pCoeffs   points to the array of filter coefficients.   
+ * @param[in]     *pState    points to the state buffer.   
+ * @param[in]     *pTapDelay points to the array of offset times.   
+ * @param[in]     maxDelay   maximum offset time supported.   
+ * @param[in]     blockSize  number of samples that will be processed per block.   
+ * @return none   
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.    
+ * <code>pState</code> holds the filter's state variables and must be of length    
+ * <code>maxDelay + blockSize</code>, where <code>maxDelay</code>    
+ * is the maximum number of delay line values.    
+ * <code>blockSize</code> is the    
+ * number of samples processed by the <code>arm_fir_sparse_f32()</code> function.    
+ */
+
+void arm_fir_sparse_init_f32(
+  arm_fir_sparse_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0u;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
new file mode 100644
index 0000000..41bbd7e
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_sparse_init_q15.c    
+*    
+* Description:	Q15 sparse FIR filter initialization function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the Q15 sparse FIR filter.   
+ * @param[in,out] *S         points to an instance of the Q15 sparse FIR structure.   
+ * @param[in]     numTaps    number of nonzero coefficients in the filter.   
+ * @param[in]     *pCoeffs   points to the array of filter coefficients.   
+ * @param[in]     *pState    points to the state buffer.   
+ * @param[in]     *pTapDelay points to the array of offset times.   
+ * @param[in]     maxDelay   maximum offset time supported.   
+ * @param[in]     blockSize  number of samples that will be processed per block.   
+ * @return none   
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.    
+ * <code>pState</code> holds the filter's state variables and must be of length    
+ * <code>maxDelay + blockSize</code>, where <code>maxDelay</code>    
+ * is the maximum number of delay line values.    
+ * <code>blockSize</code> is the    
+ * number of words processed by <code>arm_fir_sparse_q15()</code> function.    
+ */
+
+void arm_fir_sparse_init_q15(
+  arm_fir_sparse_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0u;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
new file mode 100644
index 0000000..8250550
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_sparse_init_q31.c    
+*    
+* Description:	Q31 sparse FIR filter initialization function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the Q31 sparse FIR filter.   
+ * @param[in,out] *S         points to an instance of the Q31 sparse FIR structure.   
+ * @param[in]     numTaps    number of nonzero coefficients in the filter.   
+ * @param[in]     *pCoeffs   points to the array of filter coefficients.   
+ * @param[in]     *pState    points to the state buffer.   
+ * @param[in]     *pTapDelay points to the array of offset times.   
+ * @param[in]     maxDelay   maximum offset time supported.   
+ * @param[in]     blockSize  number of samples that will be processed per block.   
+ * @return none   
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.    
+ * <code>pState</code> holds the filter's state variables and must be of length    
+ * <code>maxDelay + blockSize</code>, where <code>maxDelay</code>    
+ * is the maximum number of delay line values.    
+ * <code>blockSize</code> is the number of words processed by <code>arm_fir_sparse_q31()</code> function.    
+ */
+
+void arm_fir_sparse_init_q31(
+  arm_fir_sparse_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0u;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
new file mode 100644
index 0000000..6c495a4
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
@@ -0,0 +1,107 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_fir_sparse_init_q7.c    
+*    
+* Description:	Q7 sparse FIR filter initialization function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE. 
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief  Initialization function for the Q7 sparse FIR filter.   
+ * @param[in,out] *S         points to an instance of the Q7 sparse FIR structure.   
+ * @param[in]     numTaps    number of nonzero coefficients in the filter.   
+ * @param[in]     *pCoeffs   points to the array of filter coefficients.   
+ * @param[in]     *pState    points to the state buffer.   
+ * @param[in]     *pTapDelay points to the array of offset times.   
+ * @param[in]     maxDelay   maximum offset time supported.   
+ * @param[in]     blockSize  number of samples that will be processed per block.   
+ * @return none   
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.    
+ * <code>pState</code> holds the filter's state variables and must be of length    
+ * <code>maxDelay + blockSize</code>, where <code>maxDelay</code>    
+ * is the maximum number of delay line values.    
+ * <code>blockSize</code> is the    
+ * number of samples processed by the <code>arm_fir_sparse_q7()</code> function.    
+ */
+
+void arm_fir_sparse_init_q7(
+  arm_fir_sparse_instance_q7 * S,
+  uint16_t numTaps,
+  q7_t * pCoeffs,
+  q7_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0u;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
new file mode 100644
index 0000000..2366685
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q15.c
@@ -0,0 +1,481 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_sparse_q15.c    
+*    
+* Description:	Q15 sparse FIR filter processing function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief Processing function for the Q15 sparse FIR filter.   
+ * @param[in]  *S           points to an instance of the Q15 sparse FIR structure.   
+ * @param[in]  *pSrc        points to the block of input data.   
+ * @param[out] *pDst        points to the block of output data   
+ * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
+ * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
+ * @param[in]  blockSize    number of input samples to process per call.   
+ * @return none.   
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 32-bit accumulator.   
+ * The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.   
+ * Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.   
+ * If the accumulator result overflows it will wrap around rather than saturate.   
+ * After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.    
+ * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
+ */
+
+
+void arm_fir_sparse_q15(
+  arm_fir_sparse_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  q15_t * pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize)
+{
+
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pIn = pSrc;                             /* Working pointer for input */
+  q15_t *pOut = pDst;                            /* Working pointer for output */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *px;                                     /* Temporary pointers for scratch buffer */
+  q15_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+  q15_t *py = pState;                            /* Temporary pointers for state buffer */
+  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+  uint16_t numTaps = S->numTaps;                 /* Filter order */
+  int32_t readIndex;                             /* Read index of the state buffer */
+  uint32_t tapCnt, blkCnt;                       /* loop counters */
+  q15_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+  q31_t *pScr2 = pScratchOut;                    /* Working pointer for pScratchOut */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in1, in2;                                /* Temporary variables */
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                       pb, pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  /* Loop over the blockSize. Unroll by a factor of 4.    
+   * Compute 4 multiplications at a time. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+   * compute the remaining samples */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and    
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                         pb, pb, blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    /* Loop over the blockSize. Unroll by a factor of 4.    
+     * Compute 4 MACS at a time. */
+    blkCnt = blockSize >> 2;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4,    
+     * compute the remaining samples */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and    
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */		
+
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q15(py, delaySize, &readIndex, 1,
+											 pb, pb, blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+  /* All the output values are in pScratchOut buffer.    
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    in1 = *pScr2++;
+    in2 = *pScr2++;
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pOut)++ =
+      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
+              16);
+
+#else
+    *__SIMD32(pOut)++ =
+      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
+              16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+    in1 = *pScr2++;
+
+    in2 = *pScr2++;
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pOut)++ =
+      __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16),
+              16);
+
+#else
+
+    *__SIMD32(pOut)++ =
+      __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16),
+              16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+
+    blkCnt--;
+
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+     remaining samples are processed in the below loop */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                       pb, pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and           
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                         pb, pb, blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q15(py, delaySize, &readIndex, 1,
+											 pb, pb, blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		*pScratchOut++ += (q31_t) * px++ * coeff;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+  /* All the output values are in pScratchOut buffer.       
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+    blkCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
new file mode 100644
index 0000000..2183cd3
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q31.c
@@ -0,0 +1,461 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_sparse_q31.c    
+*    
+* Description:	Q31 sparse FIR filter processing function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ------------------------------------------------------------------- */
+#include "arm_math.h"
+
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+/**   
+ * @brief Processing function for the Q31 sparse FIR filter.   
+ * @param[in]  *S          points to an instance of the Q31 sparse FIR structure.   
+ * @param[in]  *pSrc       points to the block of input data.   
+ * @param[out] *pDst       points to the block of output data   
+ * @param[in]  *pScratchIn points to a temporary buffer of size blockSize.   
+ * @param[in]  blockSize   number of input samples to process per call.   
+ * @return none.   
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 32-bit accumulator.   
+ * The 1.31 x 1.31 multiplications are truncated to 2.30 format.   
+ * This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.    
+ * If the accumulator result overflows, it wraps around rather than saturate.   
+ * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.   
+ */
+
+void arm_fir_sparse_q31(
+  arm_fir_sparse_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  q31_t * pScratchIn,
+  uint32_t blockSize)
+{
+
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *px;                                     /* Scratch buffer pointer */
+  q31_t *py = pState;                            /* Temporary pointers for state buffer */
+  q31_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+  q31_t *pOut;                                   /* Destination pointer */
+  q63_t out;                                     /* Temporary output variable */
+  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+  uint16_t numTaps = S->numTaps;                 /* Filter order */
+  int32_t readIndex;                             /* Read index of the state buffer */
+  uint32_t tapCnt, blkCnt;                       /* loop counters */
+  q31_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+  q31_t in;
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+                        (int32_t *) pSrc, 1, blockSize);
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                       blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Loop over the blockSize. Unroll by a factor of 4.    
+   * Compute 4 Multiplications at a time. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in the destination buffer */
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+   * compute the remaining samples */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in the destination buffer */
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and    
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pOut = pDst;
+
+    /* Loop over the blockSize. Unroll by a factor of 4.    
+     * Compute 4 MACS at a time. */
+    blkCnt = blockSize >> 2;
+
+    while(blkCnt > 0u)
+    {
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4,    
+     * compute the remaining samples */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and    
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pOut = pDst;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}	
+
+  /* Working output pointer is updated */
+  pOut = pDst;
+
+  /* Output is converted into 1.31 format. */
+  /* Loop over the blockSize. Unroll by a factor of 4.    
+   * process 4 output samples at a time. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+   * process the remaining output samples */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform Multiplications and store in the destination buffer */
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and           
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pOut = pDst;
+
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+											 (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+											 blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pOut = pDst;
+
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		out = *pOut;
+		out += ((q63_t) * px++ * coeff) >> 32;
+		*pOut++ = (q31_t) (out);
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+  /* Working output pointer is updated */
+  pOut = pDst;
+
+  /* Output is converted into 1.31 format. */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
new file mode 100644
index 0000000..9f43580
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_fir_sparse_q7.c
@@ -0,0 +1,480 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_fir_sparse_q7.c    
+*    
+* Description:	Q7 sparse FIR filter processing function.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ------------------------------------------------------------------- */
+#include "arm_math.h"
+
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup FIR_Sparse    
+ * @{    
+ */
+
+
+/**   
+ * @brief Processing function for the Q7 sparse FIR filter.   
+ * @param[in]  *S           points to an instance of the Q7 sparse FIR structure.   
+ * @param[in]  *pSrc        points to the block of input data.   
+ * @param[out] *pDst        points to the block of output data   
+ * @param[in]  *pScratchIn  points to a temporary buffer of size blockSize.   
+ * @param[in]  *pScratchOut points to a temporary buffer of size blockSize.   
+ * @param[in]  blockSize    number of input samples to process per call.   
+ * @return none.   
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.    
+ * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * The accumulator is then converted to 18.7 format by discarding the low 7 bits.   
+ * Finally, the result is truncated to 1.7 format.   
+ */
+
+void arm_fir_sparse_q7(
+  arm_fir_sparse_instance_q7 * S,
+  q7_t * pSrc,
+  q7_t * pDst,
+  q7_t * pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize)
+{
+
+  q7_t *pState = S->pState;                      /* State pointer */
+  q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+  q7_t *px;                                      /* Scratch buffer pointer */
+  q7_t *py = pState;                             /* Temporary pointers for state buffer */
+  q7_t *pb = pScratchIn;                         /* Temporary pointers for scratch buffer */
+  q7_t *pOut = pDst;                             /* Destination pointer */
+  int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+  uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+  uint16_t numTaps = S->numTaps;                 /* Filter order */
+  int32_t readIndex;                             /* Read index of the state buffer */
+  uint32_t tapCnt, blkCnt;                       /* loop counters */
+  q7_t coeff = *pCoeffs++;                       /* Read the coefficient value */
+  q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
+  q31_t in;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t in1, in2, in3, in4;
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
+                       blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                      (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  /* Loop over the blockSize. Unroll by a factor of 4.    
+   * Compute 4 multiplications at a time. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+   * compute the remaining samples */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and    
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                        (int32_t) blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    /* Loop over the blockSize. Unroll by a factor of 4.    
+     * Compute 4 MACS at a time. */
+    blkCnt = blockSize >> 2;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4,    
+     * compute the remaining samples */
+    blkCnt = blockSize % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and    
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = ((int32_t) S->stateIndex -
+                 (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+											(int32_t) blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize. Unroll by a factor of 4.    
+	 * Compute 4 MACS at a time. */
+	blkCnt = blockSize >> 2;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+	/* If the blockSize is not a multiple of 4,    
+	 * compute the remaining samples */
+	blkCnt = blockSize % 0x4u;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+  /* All the output values are in pScratchOut buffer.    
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize >> 2;
+
+  while(blkCnt > 0u)
+  {
+    in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    *__SIMD32(pOut)++ = __PACKq7(in1, in2, in3, in4);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4,    
+     remaining samples are processed in the below loop */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
+                       blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                      (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  /* Loop over the blockSize */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and           
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if(readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2u;
+
+  while(tapCnt > 0u)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                        (int32_t) blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    /* Loop over the blockSize */
+    blkCnt = blockSize;
+
+    while(blkCnt > 0u)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex =
+      ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if(readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+	
+	/* Compute last tap without the final read of pTapDelay */	
+	
+	/* Working pointer for state buffer is updated */
+	py = pState;
+
+	/* blockSize samples are read from the state buffer */
+	arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+											(int32_t) blockSize, 1, blockSize);
+
+	/* Working pointer for the scratch buffer of state values */
+	px = pb;
+
+	/* Working pointer for scratch buffer of output values */
+	pScratchOut = pScr2;
+
+	/* Loop over the blockSize */
+	blkCnt = blockSize;
+
+	while(blkCnt > 0u)
+	{
+		/* Perform Multiply-Accumulate */
+		in = *pScratchOut + ((q31_t) * px++ * coeff);
+		*pScratchOut++ = in;
+
+		/* Decrement the loop counter */
+		blkCnt--;
+	}
+
+  /* All the output values are in pScratchOut buffer.       
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of FIR_Sparse group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
new file mode 100644
index 0000000..f3056f4
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_f32.c
@@ -0,0 +1,447 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_iir_lattice_f32.c    
+*    
+* Description:	Floating-point IIR Lattice filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters    
+ *    
+ * This set of functions implements lattice filters    
+ * for Q15, Q31 and floating-point data types.  Lattice filters are used in a     
+ * variety of adaptive filter applications.  The filter structure has feedforward and    
+ * feedback components and the net impulse response is infinite length.    
+ * The functions operate on blocks    
+ * of input and output data and each call to the function processes    
+ * <code>blockSize</code> samples through the filter.  <code>pSrc</code> and    
+ * <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.    
+    
+ * \par Algorithm:    
+ * \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"    
+ * <pre>    
+ *    fN(n)   =  x(n)    
+ *    fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ...1    
+ *    gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1    
+ *    y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)    
+ * </pre>    
+ * \par    
+ * <code>pkCoeffs</code> points to array of reflection coefficients of size <code>numStages</code>.     
+ * Reflection coefficients are stored in time-reversed order.    
+ * \par    
+ * <pre>    
+ *    {kN, kN-1, ....k1}    
+ * </pre>    
+ * <code>pvCoeffs</code> points to the array of ladder coefficients of size <code>(numStages+1)</code>.     
+ * Ladder coefficients are stored in time-reversed order.    
+ * \par    
+ * <pre>    
+ *    {vN, vN-1, ...v0}    
+ * </pre>    
+ * <code>pState</code> points to a state array of size <code>numStages + blockSize</code>.    
+ * The state variables shown in the figure above (the g values) are stored in the <code>pState</code> array.    
+ * The state variables are updated after each block of data is processed; the coefficients are untouched.    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter.    
+ * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+  *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.   
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero. 
+ *    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:    
+ * <pre>    
+ *arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+ *arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+ *arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+ * </pre>    
+ * \par    
+ * where <code>numStages</code> is the number of stages in the filter; <code>pState</code> points to the state buffer array;    
+ * <code>pkCoeffs</code> points to array of the reflection coefficients; <code>pvCoeffs</code> points to the array of ladder coefficients.    
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the IIR lattice filter functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the floating-point IIR lattice filter.    
+ * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in] blockSize number of samples to process.    
+ * @return none.    
+ */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+void arm_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t fnext1, gcurr1, gnext;               /* Temporary variables for lattice stages */
+  float32_t acc;                                 /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
+  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  float32_t *pState;                             /* State pointer */
+  float32_t *pStateCurnt;                        /* State current pointer */
+  float32_t k1, k2;
+  float32_t v1, v2, v3, v4;
+  float32_t gcurr2;
+  float32_t fnext2;
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  /* initialise state pointer */
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fnext2 = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0.0;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = (numStages) >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Read gN-1(n-1) from state buffer */
+      gcurr1 = *px1;
+
+      /* read reflection coefficient kN */
+      k1 = *pk;
+
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext1 = fnext2 - (k1 * gcurr1);
+
+      /* read ladder coefficient vN */
+      v1 = *pv;
+
+      /* read next reflection coefficient kN-1 */
+      k2 = *(pk + 1u);
+
+      /* Read gN-2(n-1) from state buffer */
+      gcurr2 = *(px1 + 1u);
+
+      /* read next ladder coefficient vN-1 */
+      v2 = *(pv + 1u);
+
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext2 = fnext1 - (k2 * gcurr2);
+
+      /* gN(n)   = kN * fN-1(n) + gN-1(n-1) */
+      gnext = gcurr1 + (k1 * fnext1);
+
+      /* read reflection coefficient kN-2 */
+      k1 = *(pk + 2u);
+
+      /* write gN(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Read gN-3(n-1) from state buffer */
+      gcurr1 = *(px1 + 2u);
+
+      /* y(n) += gN(n) * vN  */
+      acc += (gnext * v1);
+
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fnext1 = fnext2 - (k1 * gcurr1);
+
+      /* gN-1(n)   = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = gcurr2 + (k2 * fnext2);
+
+      /* Read gN-4(n-1) from state buffer */
+      gcurr2 = *(px1 + 3u);
+
+      /* y(n) += gN-1(n) * vN-1  */
+      acc += (gnext * v2);
+
+      /* read reflection coefficient kN-3 */
+      k2 = *(pk + 3u);
+
+      /* write gN-1(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext2 = fnext1 - (k2 * gcurr2);
+
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = gcurr1 + (k1 * fnext1);
+
+      /* read ladder coefficient vN-2 */
+      v3 = *(pv + 2u);
+
+      /* y(n) += gN-2(n) * vN-2  */
+      acc += (gnext * v3);
+
+      /* write gN-2(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* update pointer */
+      pk += 4u;
+
+      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+      gnext = (fnext2 * k2) + gcurr2;
+
+      /* read next ladder coefficient vN-3 */
+      v4 = *(pv + 3u);
+
+      /* y(n) += gN-4(n) * vN-4  */
+      acc += (gnext * v4);
+
+      /* write gN-3(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* update pointers */
+      px1 += 4u;
+      pv += 4u;
+
+      tapCnt--;
+
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = (numStages) % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      gcurr1 = *px1++;
+      /* Process sample for last taps */
+      fnext1 = fnext2 - ((*pk) * gcurr1);
+      gnext = (fnext1 * (*pk++)) + gcurr1;
+      /* Output samples for last taps */
+      acc += (gnext * (*pv++));
+      *px2++ = gnext;
+      fnext2 = fnext1;
+
+      tapCnt--;
+
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (fnext2 * (*pv));
+
+    *px2++ = fnext2;
+
+    /* write out into pDst */
+    *pDst++ = acc;
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1u;
+
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer        
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numStages) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+#else
+
+void arm_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t fcurr, fnext = 0, gcurr, gnext;      /* Temporary variables for lattice stages */
+  float32_t acc;                                 /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
+  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  float32_t *pState;                             /* State pointer */
+  float32_t *pStateCurnt;                        /* State current pointer */
+
+
+  /* Run the below code for Cortex-M0 */
+
+  blkCnt = blockSize;
+
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0.0f;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+
+    /* Process sample for numStages */
+    tapCnt = numStages;
+
+    while(tapCnt > 0u)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = fcurr - ((*pk) * gcurr);
+      gnext = (fnext * (*pk++)) + gcurr;
+
+      /* Output samples for last taps */
+      acc += (gnext * (*pv++));
+      *px2++ = gnext;
+      fcurr = fnext;
+
+      /* Decrementing loop counter */
+      tapCnt--;
+
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (fnext * (*pv));
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = acc;
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1u;
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy the data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+
+/**    
+ * @} end of IIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
new file mode 100644
index 0000000..89bfb68
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
@@ -0,0 +1,91 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_iir_lattice_init_f32.c    
+*    
+* Description:  Floating-point IIR lattice filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+/**    
+ * @brief Initialization function for the floating-point IIR lattice filter.    
+ * @param[in] *S points to an instance of the floating-point IIR lattice structure.    
+ * @param[in] numStages number of stages in the filter.    
+ * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
+ * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
+ * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
+ * @param[in] blockSize number of samples to process.    
+ * @return none.    
+ */
+
+void arm_iir_lattice_init_f32(
+  arm_iir_lattice_instance_f32 * S,
+  uint16_t numStages,
+  float32_t * pkCoeffs,
+  float32_t * pvCoeffs,
+  float32_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+
+}
+
+  /**    
+   * @} end of IIR_Lattice group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
new file mode 100644
index 0000000..bc5c0af
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
@@ -0,0 +1,91 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_iir_lattice_init_q15.c    
+*    
+* Description:  Q15 IIR lattice filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for the Q15 IIR lattice filter.    
+   * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
+   * @param[in] numStages  number of stages in the filter.    
+   * @param[in] *pkCoeffs points to reflection coefficient buffer.  The array is of length numStages.    
+   * @param[in] *pvCoeffs points to ladder coefficient buffer.  The array is of length numStages+1.    
+   * @param[in] *pState points to state buffer.  The array is of length numStages+blockSize.    
+   * @param[in] blockSize number of samples to process per call.    
+   * @return none.    
+   */
+
+void arm_iir_lattice_init_q15(
+  arm_iir_lattice_instance_q15 * S,
+  uint16_t numStages,
+  q15_t * pkCoeffs,
+  q15_t * pvCoeffs,
+  q15_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+
+}
+
+/**    
+ * @} end of IIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
new file mode 100644
index 0000000..d8e26a3
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
@@ -0,0 +1,91 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_iir_lattice_init_q31.c    
+*    
+* Description:  Initialization function for the Q31 IIR lattice filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for the Q31 IIR lattice filter.    
+   * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
+   * @param[in] numStages number of stages in the filter.    
+   * @param[in] *pkCoeffs points to the reflection coefficient buffer.  The array is of length numStages.    
+   * @param[in] *pvCoeffs points to the ladder coefficient buffer.  The array is of length numStages+1.    
+   * @param[in] *pState points to the state buffer.  The array is of length numStages+blockSize.    
+   * @param[in] blockSize number of samples to process.    
+   * @return none.    
+   */
+
+void arm_iir_lattice_init_q31(
+  arm_iir_lattice_instance_q31 * S,
+  uint16_t numStages,
+  q31_t * pkCoeffs,
+  q31_t * pvCoeffs,
+  q31_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+
+}
+
+/**    
+ * @} end of IIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
new file mode 100644
index 0000000..5bee62d
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q15.c
@@ -0,0 +1,464 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_iir_lattice_q15.c    
+*    
+* Description:	Q15 IIR lattice filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 IIR lattice filter.    
+ * @param[in] *S points to an instance of the Q15 IIR lattice structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in] blockSize number of samples to process.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
+ */
+
+void arm_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t fcurr, fnext, gcurr = 0, gnext;          /* Temporary variables for lattice stages */
+  q15_t gnext1, gnext2;                          /* Temporary variables for lattice stages */
+  uint32_t stgCnt;                               /* Temporary variables for counts */
+  q63_t acc;                                     /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  q15_t *pState;                                 /* State pointer */
+  q15_t *pStateCurnt;                            /* State current pointer */
+  q15_t out;                                     /* Temporary variable for output */
+  q31_t v;                                       /* Temporary variable for ladder coefficient */
+#ifdef UNALIGNED_SUPPORT_DISABLE
+	q15_t v1, v2;
+#endif
+
+
+  blkCnt = blockSize;
+
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+
+    /* Process sample for first tap */
+    gcurr = *px1++;
+    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+    fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+    fnext = __SSAT(fnext, 16);
+    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+    gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+    gnext = __SSAT(gnext, 16);
+    /* write gN(n) into state for next sample processing */
+    *px2++ = (q15_t) gnext;
+    /* y(n) += gN(n) * vN  */
+    acc += (q31_t) ((gnext * (*pv++)));
+
+
+    /* Update f values for next coefficient processing */
+    fcurr = fnext;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = (numStages - 1u) >> 2;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Process sample for 2nd, 6th ...taps */
+      /* Read gN-2(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 2nd, 6th .. taps */
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext1 = (q15_t) __SSAT(gnext, 16);
+      /* write gN-1(n) into state */
+      *px2++ = (q15_t) gnext1;
+
+
+      /* Process sample for 3nd, 7th ...taps */
+      /* Read gN-3(n-1) from state */
+      gcurr = *px1++;
+      /* Process sample for 3rd, 7th .. taps */
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+      fcurr = __SSAT(fcurr, 16);
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+      gnext2 = (q15_t) __SSAT(gnext, 16);
+      /* write gN-2(n) into state */
+      *px2++ = (q15_t) gnext2;
+
+      /* Read vN-1 and vN-2 at a time */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      v = *__SIMD32(pv)++;
+
+#else
+
+	  v1 = *pv++;
+	  v2 = *pv++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  v = __PKHBT(v1, v2, 16);
+
+#else
+
+	  v = __PKHBT(v2, v1, 16);
+
+#endif	/* 	#ifndef ARM_MATH_BIG_ENDIAN		*/
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
+
+
+      /* Pack gN-1(n) and gN-2(n) */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      gnext = __PKHBT(gnext1, gnext2, 16);
+
+#else
+
+      gnext = __PKHBT(gnext2, gnext1, 16);
+
+#endif /*   #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* y(n) += gN-1(n) * vN-1  */
+      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+      /* y(n) += gN-2(n) * vN-2  */
+      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+      acc = __SMLALD(gnext, v, acc);
+
+
+      /* Process sample for 4th, 8th ...taps */
+      /* Read gN-4(n-1) from state */
+      gcurr = *px1++;
+      /* Process sample for 4th, 8th .. taps */
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext1 = (q15_t) __SSAT(gnext, 16);
+      /* write  gN-3(n) for the next sample process */
+      *px2++ = (q15_t) gnext1;
+
+
+      /* Process sample for 5th, 9th ...taps */
+      /* Read gN-5(n-1) from state */
+      gcurr = *px1++;
+      /* Process sample for 5th, 9th .. taps */
+      /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
+      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+      fcurr = __SSAT(fcurr, 16);
+      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+      gnext2 = (q15_t) __SSAT(gnext, 16);
+      /* write      gN-4(n) for the next sample process */
+      *px2++ = (q15_t) gnext2;
+
+      /* Read vN-3 and vN-4 at a time */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      v = *__SIMD32(pv)++;
+
+#else
+
+	  v1 = *pv++;
+	  v2 = *pv++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+	  v = __PKHBT(v1, v2, 16);
+
+#else
+
+	  v = __PKHBT(v2, v1, 16);
+
+#endif	/* #ifndef ARM_MATH_BIG_ENDIAN	 */
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE */
+
+
+      /* Pack gN-3(n) and gN-4(n) */
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+      gnext = __PKHBT(gnext1, gnext2, 16);
+
+#else
+
+      gnext = __PKHBT(gnext2, gnext1, 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* y(n) += gN-4(n) * vN-4  */
+      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+      /* y(n) += gN-3(n) * vN-3  */
+      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+      acc = __SMLALD(gnext, v, acc);
+
+      tapCnt--;
+
+    }
+
+    fnext = fcurr;
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = (numStages - 1u) % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext = __SSAT(gnext, 16);
+      /* Output samples for last taps */
+      acc += (q31_t) (((q31_t) gnext * (*pv++)));
+      *px2++ = (q15_t) gnext;
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q31_t) (((q31_t) fnext * (*pv++)));
+
+    out = (q15_t) __SSAT(acc >> 15, 16);
+    *px2++ = (q15_t) fnext;
+
+    /* write out into pDst */
+    *pDst++ = out;
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1u;
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
+     for the preperation of next frame process */
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  stgCnt = (numStages >> 2u);
+
+  /* copy data */
+  while(stgCnt > 0u)
+  {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+#else
+
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+#endif /*	#ifndef UNALIGNED_SUPPORT_DISABLE */
+
+    /* Decrement the loop counter */
+    stgCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  stgCnt = (numStages) % 0x4u;
+
+  /* copy data */
+  while(stgCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    stgCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
+  uint32_t stgCnt;                               /* Temporary variables for counts */
+  q63_t acc;                                     /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  q15_t *pState;                                 /* State pointer */
+  q15_t *pStateCurnt;                            /* State current pointer */
+  q15_t out;                                     /* Temporary variable for output */
+
+
+  blkCnt = blockSize;
+
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    tapCnt = numStages;
+
+    while(tapCnt > 0u)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext = fcurr - ((gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext = ((fnext * (*pk++)) >> 15) + gcurr;
+      gnext = __SSAT(gnext, 16);
+      /* Output samples */
+      /* y(n) += gN(n) * vN */
+      acc += (q31_t) ((gnext * (*pv++)));
+      /* write gN(n) into state for next sample processing */
+      *px2++ = (q15_t) gnext;
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q31_t) ((fnext * (*pv++)));
+
+    out = (q15_t) __SSAT(acc >> 15, 16);
+    *px2++ = (q15_t) fnext;
+
+    /* write out into pDst */
+    *pDst++ = out;
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1u;
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  stgCnt = numStages;
+
+  /* copy data */
+  while(stgCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    stgCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+
+
+
+/**    
+ * @} end of IIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
new file mode 100644
index 0000000..347c857
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_iir_lattice_q31.c
@@ -0,0 +1,350 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_iir_lattice_q31.c    
+*    
+* Description:	Q31 IIR lattice filter processing function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup IIR_Lattice    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 IIR lattice filter.    
+ * @param[in] *S points to an instance of the Q31 IIR lattice structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[out] *pDst points to the block of output data.    
+ * @param[in] blockSize number of samples to process.    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.    
+ * Thus, if the accumulator result overflows it wraps around rather than clip.    
+ * In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.    
+ * After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.    
+ */
+
+void arm_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
+  q63_t acc;                                     /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+  q31_t *px1, *px2, *pk, *pv;                    /* Temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  q31_t *pState;                                 /* State pointer */
+  q31_t *pStateCurnt;                            /* State current pointer */
+
+  blkCnt = blockSize;
+
+  pState = &S->pState[0];
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+
+    /* Process sample for first tap */
+    gcurr = *px1++;
+    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+    fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+    gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+    /* write gN-1(n-1) into state for next sample processing */
+    *px2++ = gnext;
+    /* y(n) += gN(n) * vN  */
+    acc += ((q63_t) gnext * *pv++);
+
+    /* Update f values for next coefficient processing */
+    fcurr = fnext;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = (numStages - 1u) >> 2;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Process sample for 2nd, 6th .. taps */
+      /* Read gN-2(n-1) from state buffer */
+      gcurr = *px1++;
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+      /* y(n) += gN-1(n) * vN-1  */
+      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-1(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Process sample for 3nd, 7th ...taps */
+      /* Read gN-3(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 3rd, 7th .. taps */
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+      /* y(n) += gN-2(n) * vN-2  */
+      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-2(n) into state for next sample processing */
+      *px2++ = gnext;
+
+
+      /* Process sample for 4th, 8th ...taps */
+      /* Read gN-4(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 4th, 8th .. taps */
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+      /* y(n) += gN-3(n) * vN-3  */
+      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-3(n) into state for next sample processing */
+      *px2++ = gnext;
+
+
+      /* Process sample for 5th, 9th ...taps */
+      /* Read gN-5(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 5th, 9th .. taps */
+      /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
+      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+      /* y(n) += gN-4(n) * vN-4  */
+      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-4(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      tapCnt--;
+
+    }
+
+    fnext = fcurr;
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = (numStages - 1u) % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31));
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+      /* Output samples for last taps */
+      acc += ((q63_t) gnext * *pv++);
+      *px2++ = gnext;
+      fcurr = fnext;
+
+      tapCnt--;
+
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q63_t) fnext *(
+  *pv++);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = (q31_t) (acc >> 31u);
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1u;
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer    
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numStages) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  };
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  /* Sample processing */
+  while(blkCnt > 0u)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    tapCnt = numStages;
+
+    while(tapCnt > 0u)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext =
+        clip_q63_to_q31(((q63_t) fcurr -
+                         ((q31_t) (((q63_t) gcurr * (*pk)) >> 31))));
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext =
+        clip_q63_to_q31(((q63_t) gcurr +
+                         ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
+      /* Output samples */
+      /* y(n) += gN(n) * vN  */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-1(n-1) into state for next sample processing */
+      *px2++ = gnext;
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q63_t) fnext *(
+  *pv++);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = (q31_t) (acc >> 31u);
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1u;
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+
+
+
+/**    
+ * @} end of IIR_Lattice group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
new file mode 100644
index 0000000..269330c
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_f32.c
@@ -0,0 +1,442 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_f32.c    
+*    
+* Description:	Processing function for the floating-point LMS filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup LMS Least Mean Square (LMS) Filters    
+ *    
+ * LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.    
+ * LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.    
+ * Adaptive filters are often used in communication systems, equalizers, and noise removal.    
+ * The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.    
+ * The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.    
+ *    
+ * An LMS filter consists of two components as shown below.    
+ * The first component is a standard transversal or FIR filter.    
+ * The second component is a coefficient update mechanism.    
+ * The LMS filter has two input signals.    
+ * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
+ * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
+ * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
+ * This "error signal" tends towards zero as the filter adapts.    
+ * The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
+ * \image html LMS.gif "Internal structure of the Least Mean Square filter"    
+ *    
+ * The functions operate on blocks of data and each call to the function processes    
+ * <code>blockSize</code> samples through the filter.    
+ * <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal,    
+ * <code>pOut</code> points to output signal and <code>pErr</code> points to error signal.    
+ * All arrays contain <code>blockSize</code> values.    
+ *    
+ * The functions operate on a block-by-block basis.    
+ * Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis.    
+ * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
+ *    
+ * \par Algorithm:    
+ * The output signal <code>y[n]</code> is computed by a standard FIR filter:    
+ * <pre>    
+ *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+ * </pre>    
+ *    
+ * \par    
+ * The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output:    
+ * <pre>    
+ *     e[n] = d[n] - y[n].    
+ * </pre>    
+ *    
+ * \par    
+ * After each sample of the error signal is computed, the filter coefficients <code>b[k]</code> are updated on a sample-by-sample basis:    
+ * <pre>    
+ *     b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1    
+ * </pre>    
+ * where <code>mu</code> is the step size and controls the rate of coefficient convergence.    
+ *\par    
+ * In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.    
+ * Coefficients are stored in time reversed order.    
+ * \par    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.    
+ * Samples in the state buffer are stored in the order:    
+ * \par    
+ * <pre>    
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+ * </pre>    
+ * \par    
+ * Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples.    
+ * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
+ * to be avoided and yields a significant speed improvement.    
+ * The state variables are updated after each block of data is processed.    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter and    
+ * coefficient and state arrays cannot be shared among instances.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero. 
+ *
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Set the values in the state buffer to zeros before static initialization.    
+ * The code below statically initializes each of the 3 different data type filter instance structures    
+ * <pre>    
+ *    arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};    
+ *    arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};    
+ *    arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};    
+ * </pre>    
+ * where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer;    
+ * <code>pCoeffs</code> is the address of the coefficient buffer; <code>mu</code> is the step size parameter; and <code>postShift</code> is the shift applied to coefficients.    
+ *    
+ * \par Fixed-Point Behavior:    
+ * Care must be taken when using the Q15 and Q31 versions of the LMS filter.    
+ * The following issues must be considered:    
+ * - Scaling of coefficients    
+ * - Overflow and saturation    
+ *    
+ * \par Scaling of Coefficients:    
+ * Filter coefficients are represented as fractional values and    
+ * coefficients are restricted to lie in the range <code>[-1 +1)</code>.    
+ * The fixed-point functions have an additional scaling parameter <code>postShift</code>.    
+ * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.    
+ * This essentially scales the filter coefficients by <code>2^postShift</code> and    
+ * allows the filter coefficients to exceed the range <code>[+1 -1)</code>.    
+ * The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.    
+ *    
+ * \par Overflow and Saturation:    
+ * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
+ * described separately as part of the function specific documentation below.    
+ */
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+/**           
+ * @details           
+ * This function operates on floating-point data types.       
+ *    
+ * @brief Processing function for floating-point LMS filter.    
+ * @param[in]  *S points to an instance of the floating-point LMS filter structure.    
+ * @param[in]  *pSrc points to the block of input data.    
+ * @param[in]  *pRef points to the block of reference data.    
+ * @param[out] *pOut points to the block of output data.    
+ * @param[out] *pErr points to the block of error data.    
+ * @param[in]  blockSize number of samples to process.    
+ * @return     none.    
+ */
+
+void arm_lms_f32(
+  const arm_lms_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w = 0.0f;                            /* weight factor */
+
+  e = 0.0f;
+  d = 0.0f;
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result in the accumulator, store in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for the updating filter coefficients */
+    w = e * mu;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop unrolling for (numTaps - 1u) samples copy */
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result is stored in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Weighting factor for the LMS version */
+    w = e * mu;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+   * start of the state buffer. This prepares the state buffer for the        
+   * next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /*  Copy (numTaps - 1u) samples  */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of LMS group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
new file mode 100644
index 0000000..a347ddb
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_f32.c
@@ -0,0 +1,95 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_init_f32.c    
+*    
+* Description:  Floating-point LMS filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for floating-point LMS filter.    
+   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
+   * @param[in] numTaps  number of filter coefficients.    
+   * @param[in] *pCoeffs points to the coefficient buffer.    
+   * @param[in] *pState points to state buffer.    
+   * @param[in] mu step size that controls filter coefficient updates.    
+   * @param[in] blockSize number of samples to process.    
+   * @return none.    
+   */
+
+/**    
+ * \par Description:    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The initial filter coefficients serve as a starting point for the adaptive filter.    
+ * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_f32()</code>.    
+ */
+
+void arm_lms_init_f32(
+  arm_lms_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  float32_t mu,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps */
+  memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+}
+
+/**    
+ * @} end of LMS group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
new file mode 100644
index 0000000..cac7dfc
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q15.c
@@ -0,0 +1,105 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_init_q15.c    
+*    
+* Description:  Q15 LMS filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+/**    
+* @brief Initialization function for the Q15 LMS filter.    
+* @param[in] *S points to an instance of the Q15 LMS filter structure.    
+* @param[in] numTaps  number of filter coefficients.    
+* @param[in] *pCoeffs points to the coefficient buffer.    
+* @param[in] *pState points to the state buffer.    
+* @param[in] mu step size that controls filter coefficient updates.    
+* @param[in] blockSize number of samples to process.    
+* @param[in] postShift bit shift applied to coefficients.    
+* @return    none.    
+*    
+* \par Description:    
+* <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+* <pre>    
+*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+* </pre>    
+* The initial filter coefficients serve as a starting point for the adaptive filter.    
+* <code>pState</code> points to the array of state variables and size of array is    
+* <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of    
+* input samples processed by each call to <code>arm_lms_q15()</code>.    
+*/
+
+void arm_lms_init_q15(
+  arm_lms_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  q15_t mu,
+  uint32_t blockSize,
+  uint32_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Assign postShift value to be applied */
+  S->postShift = postShift;
+
+}
+
+/**    
+ * @} end of LMS group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
new file mode 100644
index 0000000..d425557
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_init_q31.c
@@ -0,0 +1,105 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_init_q31.c    
+*    
+* Description:  Q31 LMS filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for Q31 LMS filter.    
+   * @param[in] *S points to an instance of the Q31 LMS filter structure.    
+   * @param[in] numTaps  number of filter coefficients.    
+   * @param[in] *pCoeffs points to coefficient buffer.    
+   * @param[in] *pState points to state buffer.    
+   * @param[in] mu step size that controls filter coefficient updates.    
+   * @param[in] blockSize number of samples to process.    
+   * @param[in] postShift bit shift applied to coefficients.    
+   * @return none.    
+ *    
+ * \par Description:    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The initial filter coefficients serve as a starting point for the adaptive filter.    
+ * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,    
+ * where <code>blockSize</code> is the number of input samples processed by each call to    
+ * <code>arm_lms_q31()</code>.    
+ */
+
+void arm_lms_init_q31(
+  arm_lms_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  q31_t mu,
+  uint32_t blockSize,
+  uint32_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, ((uint32_t) numTaps + (blockSize - 1u)) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Assign postShift value to be applied */
+  S->postShift = postShift;
+
+}
+
+/**    
+ * @} end of LMS group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
new file mode 100644
index 0000000..6e3117f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_f32.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_norm_f32.c    
+*    
+* Description:	Processing function for the floating-point Normalised LMS.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @defgroup LMS_NORM Normalized LMS Filters    
+ *    
+ * This set of functions implements a commonly used adaptive filter.    
+ * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization    
+ * factor which increases the adaptation rate of the filter.    
+ * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.    
+ *    
+ * A normalized least mean square (NLMS) filter consists of two components as shown below.    
+ * The first component is a standard transversal or FIR filter.    
+ * The second component is a coefficient update mechanism.    
+ * The NLMS filter has two input signals.    
+ * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.    
+ * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.    
+ * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.    
+ * This "error signal" tends towards zero as the filter adapts.    
+ * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.    
+ * \image html LMS.gif "Internal structure of the NLMS adaptive filter"    
+ *    
+ * The functions operate on blocks of data and each call to the function processes    
+ * <code>blockSize</code> samples through the filter.    
+ * <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal,    
+ * <code>pOut</code> points to output signal and <code>pErr</code> points to error signal.    
+ * All arrays contain <code>blockSize</code> values.    
+ *    
+ * The functions operate on a block-by-block basis.    
+ * Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis.    
+ * The convergence of the LMS filter is slower compared to the normalized LMS algorithm.    
+ *    
+ * \par Algorithm:    
+ * The output signal <code>y[n]</code> is computed by a standard FIR filter:    
+ * <pre>    
+ *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+ * </pre>    
+ *    
+ * \par    
+ * The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output:    
+ * <pre>    
+ *     e[n] = d[n] - y[n].    
+ * </pre>    
+ *    
+ * \par    
+ * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated:    
+ * <pre>    
+ *    E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.    
+ * </pre>    
+ * The filter coefficients <code>b[k]</code> are then updated on a sample-by-sample basis:    
+ * <pre>    
+ *     b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1    
+ * </pre>    
+ * where <code>mu</code> is the step size and controls the rate of coefficient convergence.    
+ *\par    
+ * In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.    
+ * Coefficients are stored in time reversed order.    
+ * \par    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * \par    
+ * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.    
+ * Samples in the state buffer are stored in the order:    
+ * \par    
+ * <pre>    
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+ * </pre>    
+ * \par    
+ * Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples.    
+ * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,    
+ * to be avoided and yields a significant speed improvement.    
+ * The state variables are updated after each block of data is processed.    
+ * \par Instance Structure    
+ * The coefficients and state variables for a filter are stored together in an instance data structure.    
+ * A separate instance structure must be defined for each filter and    
+ * coefficient and state arrays cannot be shared among instances.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Zeros out the values in the state buffer.    
+ * To do this manually without calling the init function, assign the follow subfields of the instance structure:
+ * numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. 
+ * For Q7, Q15, and Q31 the following fields must also be initialized;
+ * recipTable, postShift
+ *
+ * \par    
+ * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.    
+ * \par Fixed-Point Behavior:    
+ * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.    
+ * The following issues must be considered:    
+ * - Scaling of coefficients    
+ * - Overflow and saturation    
+ *    
+ * \par Scaling of Coefficients:    
+ * Filter coefficients are represented as fractional values and    
+ * coefficients are restricted to lie in the range <code>[-1 +1)</code>.    
+ * The fixed-point functions have an additional scaling parameter <code>postShift</code>.    
+ * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.    
+ * This essentially scales the filter coefficients by <code>2^postShift</code> and    
+ * allows the filter coefficients to exceed the range <code>[+1 -1)</code>.    
+ * The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.    
+ *    
+ * \par Overflow and Saturation:    
+ * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are    
+ * described separately as part of the function specific documentation below.    
+ */
+
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+
+  /**    
+   * @brief Processing function for floating-point normalized LMS filter.    
+   * @param[in] *S points to an instance of the floating-point normalized LMS filter structure.    
+   * @param[in] *pSrc points to the block of input data.    
+   * @param[in] *pRef points to the block of reference data.    
+   * @param[out] *pOut points to the block of output data.    
+   * @param[out] *pErr points to the block of error data.    
+   * @param[in] blockSize number of samples to process.    
+   * @return none.    
+   */
+
+void arm_lms_norm_f32(
+  arm_lms_norm_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  float32_t energy;                              /* Energy of the input */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w, x0, in;                           /* weight factor, temporary variable to hold input sample and state */
+
+  /* Initializations of error,  difference, Coefficient update */
+  e = 0.0f;
+  d = 0.0f;
+  w = 0.0f;
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= x0 * x0;
+    energy += in * in;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result in the accumulator, store in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    /* epsilon value 0.000000119209289f */
+    w = (e * mu) / (energy + 0.000000119209289f);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  S->energy = energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop unrolling for (numTaps - 1u)/4 samples copy */
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= x0 * x0;
+    energy += in * in;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result in the accumulator is stored in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    /* epsilon value 0.000000119209289f */
+    w = (e * mu) / (energy + 0.000000119209289f);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCcoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  S->energy = energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+     satrt of the state buffer. This prepares the state buffer for the        
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Copy (numTaps - 1u) samples  */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of LMS_NORM group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
new file mode 100644
index 0000000..2c23315
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_f32.c
@@ -0,0 +1,105 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_norm_init_f32.c    
+*    
+* Description:  Floating-point NLMS filter initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for floating-point normalized LMS filter.    
+   * @param[in] *S points to an instance of the floating-point LMS filter structure.    
+   * @param[in] numTaps  number of filter coefficients.    
+   * @param[in] *pCoeffs points to coefficient buffer.    
+   * @param[in] *pState points to state buffer.    
+   * @param[in] mu step size that controls filter coefficient updates.    
+   * @param[in] blockSize number of samples to process.    
+   * @return none.    
+   *    
+ * \par Description:    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The initial filter coefficients serve as a starting point for the adaptive filter.    
+ * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,    
+ * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_f32()</code>.    
+ */
+
+void arm_lms_norm_init_f32(
+  arm_lms_norm_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  float32_t mu,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialise Energy to zero */
+  S->energy = 0.0f;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0.0f;
+
+}
+
+/**    
+ * @} end of LMS_NORM group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
new file mode 100644
index 0000000..be3e31f
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q15.c
@@ -0,0 +1,112 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_norm_init_q15.c    
+*    
+* Description:  Q15 NLMS initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for Q15 normalized LMS filter.    
+   * @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
+   * @param[in] numTaps  number of filter coefficients.    
+   * @param[in] *pCoeffs points to coefficient buffer.    
+   * @param[in] *pState points to state buffer.    
+   * @param[in] mu step size that controls filter coefficient updates.    
+   * @param[in] blockSize number of samples to process.    
+   * @param[in] postShift bit shift applied to coefficients.    
+   * @return none.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The initial filter coefficients serve as a starting point for the adaptive filter.    
+ * <code>pState</code> points to the array of state variables and size of array is    
+ * <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed    
+ * by each call to <code>arm_lms_norm_q15()</code>.    
+ */
+
+void arm_lms_norm_init_q15(
+  arm_lms_norm_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  q15_t mu,
+  uint32_t blockSize,
+  uint8_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t));
+
+  /* Assign post Shift value applied to coefficients */
+  S->postShift = postShift;
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialize reciprocal pointer table */
+  S->recipTable = (q15_t *) armRecipTableQ15;
+
+  /* Initialise Energy to zero */
+  S->energy = 0;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0;
+
+}
+
+/**    
+ * @} end of LMS_NORM group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
new file mode 100644
index 0000000..9ada3a0
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_init_q31.c
@@ -0,0 +1,111 @@
+/*-----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_lms_norm_init_q31.c    
+*    
+* Description:  Q31 NLMS initialization function.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+  /**    
+   * @brief Initialization function for Q31 normalized LMS filter.    
+   * @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
+   * @param[in] numTaps  number of filter coefficients.    
+   * @param[in] *pCoeffs points to coefficient buffer.    
+   * @param[in] *pState points to state buffer.    
+   * @param[in] mu step size that controls filter coefficient updates.    
+   * @param[in] blockSize number of samples to process.    
+   * @param[in] postShift bit shift applied to coefficients.    
+   * @return none.    
+ *    
+ * <b>Description:</b>    
+ * \par    
+ * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:    
+ * <pre>    
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ * </pre>    
+ * The initial filter coefficients serve as a starting point for the adaptive filter.    
+ * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,    
+ * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_q31()</code>.    
+ */
+
+void arm_lms_norm_init_q31(
+  arm_lms_norm_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  q31_t mu,
+  uint32_t blockSize,
+  uint8_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1  */
+  memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q31_t));
+
+  /* Assign post Shift value applied to coefficients */
+  S->postShift = postShift;
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialize reciprocal pointer table */
+  S->recipTable = (q31_t *) armRecipTableQ31;
+
+  /* Initialise Energy to zero */
+  S->energy = 0;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0;
+
+}
+
+/**    
+ * @} end of LMS_NORM group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
new file mode 100644
index 0000000..208a9d8
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q15.c
@@ -0,0 +1,440 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_norm_q15.c    
+*    
+* Description:	Q15 NLMS filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+/**    
+* @brief Processing function for Q15 normalized LMS filter.    
+* @param[in] *S points to an instance of the Q15 normalized LMS filter structure.    
+* @param[in] *pSrc points to the block of input data.    
+* @param[in] *pRef points to the block of reference data.    
+* @param[out] *pOut points to the block of output data.    
+* @param[out] *pErr points to the block of error data.    
+* @param[in] blockSize number of samples to process.    
+* @return none.    
+*    
+* <b>Scaling and Overflow Behavior:</b>     
+* \par     
+* The function is implemented using a 64-bit internal accumulator.     
+* Both coefficients and state variables are represented in 1.15 format and    
+* multiplications yield a 2.30 result. The 2.30 intermediate results are    
+* accumulated in a 64-bit accumulator in 34.30 format.     
+* There is no risk of internal overflow with this approach and the full    
+* precision of intermediate multiplications is preserved. After all additions    
+* have been performed, the accumulator is truncated to 34.15 format by    
+* discarding low 15 bits. Lastly, the accumulator is saturated to yield a    
+* result in 1.15 format.    
+*    
+* \par   
+* 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
+*    
+ */
+
+void arm_lms_norm_q15(
+  arm_lms_norm_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+  q15_t mu = S->mu;                              /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q31_t energy;                                  /* Energy of the input */
+  q63_t acc;                                     /* Accumulator */
+  q15_t e = 0, d = 0;                            /* error, reference data sample */
+  q15_t w = 0, in;                               /* weight factor and state */
+  q15_t x0;                                      /* temporary variable to hold input sample */
+  //uint32_t shift = (uint32_t) S->postShift + 1u; /* Shift to be applied to the output */ 
+  q15_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
+  q15_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
+  q31_t coef;                                    /* Teporary variable for coefficient */
+  q31_t acc_l, acc_h;
+  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
+  int32_t uShift = (32 - lShift);
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= (((q31_t) x0 * (x0)) >> 15);
+    energy += (((q31_t) in * (in)) >> 15);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+
+      /* Perform the multiply-accumulate */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
+      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
+
+#else
+
+      acc += (((q31_t) * px++ * (*pb++)));
+      acc += (((q31_t) * px++ * (*pb++)));
+      acc += (((q31_t) * px++ * (*pb++)));
+      acc += (((q31_t) * px++ * (*pb++)));
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (((q31_t) * px++ * (*pb++)));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16u);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q15_t) acc;
+    *pErr++ = e;
+
+    /* Calculation of 1/energy */
+    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
+                              &oneByEnergy, S->recipTable);
+
+    /* Calculation of e * mu value */
+    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+    /* Calculation of (e * mu) * (1/energy) value */
+    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+
+    /* Weighting factor for the normalized version */
+    w = (q15_t) __SSAT((q31_t) acc, 16);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q15_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculation of count for copying integer writes */
+  tapCnt = (numTaps - 1u) >> 2;
+
+  while(tapCnt > 0u)
+  {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+
+#else
+
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+#endif
+
+    tapCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= (((q31_t) x0 * (x0)) >> 15);
+    energy += (((q31_t) in * (in)) >> 15);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (((q31_t) * px++ * (*pb++)));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16u);
+
+    /* Converting the result to 1.15 format */
+    //acc = __SSAT((acc >> (16u - shift)), 16u); 
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q15_t) acc;
+    *pErr++ = e;
+
+    /* Calculation of 1/energy */
+    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
+                              &oneByEnergy, S->recipTable);
+
+    /* Calculation of e * mu value */
+    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+    /* Calculation of (e * mu) * (1/energy) value */
+    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+
+    /* Weighting factor for the normalized version */
+    w = (q15_t) __SSAT((q31_t) acc, 16);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q15_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+     satrt of the state buffer. This prepares the state buffer for the        
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy (numTaps - 1u) data */
+  tapCnt = (numTaps - 1u);
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+
+/**    
+   * @} end of LMS_NORM group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
new file mode 100644
index 0000000..3d990e3
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_norm_q31.c
@@ -0,0 +1,431 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_norm_q31.c    
+*    
+* Description:	Processing function for the Q31 NLMS filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS_NORM    
+ * @{    
+ */
+
+/**    
+* @brief Processing function for Q31 normalized LMS filter.    
+* @param[in] *S points to an instance of the Q31 normalized LMS filter structure.    
+* @param[in] *pSrc points to the block of input data.    
+* @param[in] *pRef points to the block of reference data.    
+* @param[out] *pOut points to the block of output data.    
+* @param[out] *pErr points to the block of error data.    
+* @param[in] blockSize number of samples to process.    
+* @return none.    
+*    
+* <b>Scaling and Overflow Behavior:</b>     
+* \par     
+* The function is implemented using an internal 64-bit accumulator.     
+* The accumulator has a 2.62 format and maintains full precision of the intermediate   
+* multiplication results but provides only a single guard bit.     
+* Thus, if the accumulator result overflows it wraps around rather than clip.     
+* In order to avoid overflows completely the input signal must be scaled down by    
+* log2(numTaps) bits. The reference signal should not be scaled down.     
+* After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
+* and saturated to 1.31 format to yield the final result.     
+* The output signal and error signal are in 1.31 format.     
+*    
+* \par    
+* 	In this filter, filter coefficients are updated for each sample and the    
+* updation of filter cofficients are saturted.    
+*     
+*/
+
+void arm_lms_norm_q31(
+  arm_lms_norm_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+  q31_t mu = S->mu;                              /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t energy;                                  /* Energy of the input */
+  q63_t acc;                                     /* Accumulator */
+  q31_t e = 0, d = 0;                            /* error, reference data sample */
+  q31_t w = 0, in;                               /* weight factor and state */
+  q31_t x0;                                      /* temporary variable to hold input sample */
+//  uint32_t shift = 32u - ((uint32_t) S->postShift + 1u);        /* Shift to be applied to the output */      
+  q31_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
+  q31_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
+  q31_t coef;                                    /* Temporary variable for coef */
+  q31_t acc_l, acc_h;                            /*  temporary input */
+  uint32_t uShift = ((uint32_t) S->postShift + 1u);
+  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  while(blkCnt > 0u)
+  {
+
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy = (q31_t) ((((q63_t) energy << 32) -
+                       (((q63_t) x0 * x0) << 1)) >> 32);
+    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+      acc += ((q63_t) (*px++)) * (*pb++);
+      acc += ((q63_t) (*px++)) * (*pb++);
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q31_t) acc;
+    *pErr++ = e;
+
+    /* Calculates the reciprocal of energy */
+    postShift = arm_recip_q31(energy + DELTA_Q31,
+                              &oneByEnergy, &S->recipTable[0]);
+
+    /* Calculation of product of (e * mu) */
+    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Weighting factor for the normalized version */
+    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+
+      /* coef is in 2.30 format */
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      /* get coef in 1.31 format by left shifting */
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q31_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop unrolling for (numTaps - 1u) samples copy */
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(blkCnt > 0u)
+  {
+
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy =
+      (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
+    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+
+    //acc = (q31_t) (acc >> shift); 
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q31_t) acc;
+    *pErr++ = e;
+
+    /* Calculates the reciprocal of energy */
+    postShift =
+      arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
+
+    /* Calculation of product of (e * mu) */
+    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Weighting factor for the normalized version */
+    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      /* coef is in 2.30 format */
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      /* get coef in 1.31 format by left shifting */
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q31_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
+     start of the state buffer. This prepares the state buffer for the        
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop for (numTaps - 1u) samples copy */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of LMS_NORM group    
+ */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
new file mode 100644
index 0000000..c0d465a
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_q15.c
@@ -0,0 +1,380 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_q15.c    
+*    
+* Description:	Processing function for the Q15 LMS filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+ /**    
+ * @brief Processing function for Q15 LMS filter.    
+ * @param[in] *S points to an instance of the Q15 LMS filter structure.    
+ * @param[in] *pSrc points to the block of input data.    
+ * @param[in] *pRef points to the block of reference data.    
+ * @param[out] *pOut points to the block of output data.    
+ * @param[out] *pErr points to the block of error data.    
+ * @param[in] blockSize number of samples to process.    
+ * @return none.    
+ *    
+ * \par Scaling and Overflow Behavior:    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.    
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.    
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.    
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.    
+ *   
+ * \par   
+ * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.   
+ *    
+ */
+
+void arm_lms_q15(
+  const arm_lms_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t mu = S->mu;                              /* Adaptive factor */
+  q15_t *px;                                     /* Temporary pointer for state */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t acc;                                     /* Accumulator */
+  q15_t e = 0;                                   /* error of data sample */
+  q15_t alpha;                                   /* Intermediate constant for taps update */
+  q31_t coef;                                    /* Teporary variable for coefficient */
+  q31_t acc_l, acc_h;
+  int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
+  int32_t uShift = (32 - lShift);
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Initializing blkCnt with blockSize */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2u;
+
+    while(tapCnt > 0u)
+    {
+      /* acc +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      /* Perform the multiply-accumulate */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
+      acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc);
+
+#else
+
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q15_t) acc;
+
+    *pErr++ = (q15_t) e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
+
+    /* Initialize state pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2u;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Calculation of count for copying integer writes */
+  tapCnt = (numTaps - 1u) >> 2;
+
+  while(tapCnt > 0u)
+  {
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+    *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++;
+#else
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+#endif
+
+    tapCnt--;
+
+  }
+
+  /* Calculation of count for remaining q15_t data */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t) ((q31_t) (*px++) * (*pb++));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q15_t) acc;
+
+    *pErr++ = (q15_t) e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+     start of the state buffer. This prepares the state buffer for the   
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /*  Copy (numTaps - 1u) samples  */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of LMS group    
+   */
diff --git a/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c b/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
new file mode 100644
index 0000000..53c57f0
--- /dev/null
+++ b/DSP_Lib/Source/FilteringFunctions/arm_lms_q31.c
@@ -0,0 +1,369 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_lms_q31.c    
+*    
+* Description:	Processing function for the Q31 LMS filter.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+/**    
+ * @ingroup groupFilters    
+ */
+
+/**    
+ * @addtogroup LMS    
+ * @{    
+ */
+
+ /**    
+ * @brief Processing function for Q31 LMS filter.    
+ * @param[in]  *S points to an instance of the Q15 LMS filter structure.    
+ * @param[in]  *pSrc points to the block of input data.    
+ * @param[in]  *pRef points to the block of reference data.    
+ * @param[out] *pOut points to the block of output data.    
+ * @param[out] *pErr points to the block of error data.    
+ * @param[in]  blockSize number of samples to process.    
+ * @return     none.    
+ *    
+ * \par Scaling and Overflow Behavior:     
+ * The function is implemented using an internal 64-bit accumulator.     
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate    
+ * multiplication results but provides only a single guard bit.     
+ * Thus, if the accumulator result overflows it wraps around rather than clips.     
+ * In order to avoid overflows completely the input signal must be scaled down by    
+ * log2(numTaps) bits.     
+ * The reference signal should not be scaled down.     
+ * After all multiply-accumulates are performed, the 2.62 accumulator is shifted    
+ * and saturated to 1.31 format to yield the final result.     
+ * The output signal and error signal are in 1.31 format.     
+ *    
+ * \par    
+ * 	In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted.    
+ */
+
+void arm_lms_q31(
+  const arm_lms_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t mu = S->mu;                              /* Adaptive factor */
+  q31_t *px;                                     /* Temporary pointer for state */
+  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t acc;                                     /* Accumulator */
+  q31_t e = 0;                                   /* error of data sample */
+  q31_t alpha;                                   /* Intermediate constant for taps update */
+  q31_t coef;                                    /* Temporary variable for coef */
+  q31_t acc_l, acc_h;                            /*  temporary input */
+  uint32_t uShift = ((uint32_t) S->postShift + 1u);
+  uint32_t lShift = 32u - uShift;                /*  Shift to be applied to the output */
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1u)]);
+
+  /* Initializing blkCnt with blockSize */
+  blkCnt = blockSize;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      /* acc +=  b[N] * x[n-N] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-1] * x[n-N-1] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-2] * x[n-N-2] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-3] * x[n-N-3] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q31_t) acc;
+
+    *pErr++ = (q31_t) e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Initialize state pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling.  Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while(tapCnt > 0u)
+    {
+      /* coef is in 2.30 format */
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      /* get coef in 1.31 format by left shifting */
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4u;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the    
+     satrt of the state buffer. This prepares the state buffer for the    
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop unrolling for (numTaps - 1u) samples copy */
+  tapCnt = (numTaps - 1u) >> 2u;
+
+  /* copy data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1u) % 0x4u;
+
+  /* Copy the remaining q31_t data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while(blkCnt > 0u)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Store the result from accumulator into the destination buffer. */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q31_t) acc;
+
+    *pErr++ = (q31_t) e;
+
+    /* Weighting factor for the LMS version */
+    alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while(tapCnt > 0u)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
+     start of the state buffer. This prepares the state buffer for the   
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /*  Copy (numTaps - 1u) samples  */
+  tapCnt = (numTaps - 1u);
+
+  /* Copy the data */
+  while(tapCnt > 0u)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+#endif /*   #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of LMS group    
+   */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
new file mode 100644
index 0000000..123f9e9
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_f32.c
@@ -0,0 +1,208 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_mat_add_f32.c    
+*    
+* Description:	Floating-point matrix addition    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMatrix        
+ */
+
+/**        
+ * @defgroup MatrixAdd Matrix Addition        
+ *        
+ * Adds two matrices.        
+ * \image html MatrixAddition.gif "Addition of two 3 x 3 matrices"        
+ *        
+ * The functions check to make sure that        
+ * <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same        
+ * number of rows and columns.        
+ */
+
+/**        
+ * @addtogroup MatrixAdd        
+ * @{        
+ */
+
+
+/**        
+ * @brief Floating-point matrix addition.        
+ * @param[in]       *pSrcA points to the first input matrix structure        
+ * @param[in]       *pSrcB points to the second input matrix structure        
+ * @param[out]      *pDst points to output matrix structure        
+ * @return     		The function returns either        
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.        
+ */
+
+arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer   */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Loop unrolling */
+    blkCnt = numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add and then store the results in the destination buffer. */
+      /* Read values from source A */
+      inA1 = pIn1[0];
+
+      /* Read values from source B */
+      inB1 = pIn2[0];
+
+      /* Read values from source A */
+      inA2 = pIn1[1];
+
+      /* out = sourceA + sourceB */
+      out1 = inA1 + inB1;
+
+      /* Read values from source B */
+      inB2 = pIn2[1];
+
+      /* Read values from source A */
+      inA1 = pIn1[2];
+
+      /* out = sourceA + sourceB */
+      out2 = inA2 + inB2;
+
+      /* Read values from source B */
+      inB1 = pIn2[2];
+
+      /* Store result in destination */
+      pOut[0] = out1;
+      pOut[1] = out2;
+
+      /* Read values from source A */
+      inA2 = pIn1[3];
+
+      /* Read values from source B */
+      inB2 = pIn2[3];
+
+      /* out = sourceA + sourceB */
+      out1 = inA1 + inB1;
+
+      /* out = sourceA + sourceB */
+      out2 = inA2 + inB2;
+
+      /* Store result in destination */
+      pOut[2] = out1;
+
+      /* Store result in destination */
+      pOut[3] = out2;
+
+
+      /* update pointers to process next sampels */
+      pIn1 += 4u;
+      pIn2 += 4u;
+      pOut += 4u;
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add and then store the results in the destination buffer. */
+      *pOut++ = (*pIn1++) + (*pIn2++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixAdd group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
new file mode 100644
index 0000000..ef7f869
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q15.c
@@ -0,0 +1,163 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_add_q15.c    
+*    
+* Description:	Q15 matrix addition    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixAdd    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 matrix addition.    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+arm_status arm_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  uint16_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters  */
+  arm_status status;                             /* status of matrix addition  */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint16_t) (pSrcA->numRows * pSrcA->numCols);
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop unrolling */
+    blkCnt = (uint32_t) numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add, Saturate and then store the results in the destination buffer. */
+      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
+      *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = (uint32_t) numSamples % 0x4u;
+
+    /* q15 pointers of input and output are initialized */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add, Saturate and then store the results in the destination buffer. */
+      *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = (uint32_t) numSamples;
+
+
+    /* q15 pointers of input and output are initialized */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add, Saturate and then store the results in the destination buffer. */
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ + *pInB++), 16);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixAdd group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
new file mode 100644
index 0000000..de02d70
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_add_q31.c
@@ -0,0 +1,207 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_add_q31.c    
+*    
+* Description:	Q31 matrix addition    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**      
+ * @ingroup groupMatrix      
+ */
+
+/**      
+ * @addtogroup MatrixAdd      
+ * @{      
+ */
+
+/**      
+ * @brief Q31 matrix addition.      
+ * @param[in]       *pSrcA points to the first input matrix structure      
+ * @param[in]       *pSrcB points to the second input matrix structure      
+ * @param[out]      *pDst points to output matrix structure      
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.      
+ *      
+ * <b>Scaling and Overflow Behavior:</b>      
+ * \par      
+ * The function uses saturating arithmetic.      
+ * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.      
+ */
+
+arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t inA1, inB1;                              /* temporary variables */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q31_t inA2, inB2;                              /* temporary variables */
+  q31_t out1, out2;                              /* temporary variables */
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2u;
+
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add, saturate and then store the results in the destination buffer. */
+      /* Read values from source A */
+      inA1 = pIn1[0];
+
+      /* Read values from source B */
+      inB1 = pIn2[0];
+
+      /* Read values from source A */
+      inA2 = pIn1[1];
+
+      /* Add and saturate */
+      out1 = __QADD(inA1, inB1);
+
+      /* Read values from source B */
+      inB2 = pIn2[1];
+
+      /* Read values from source A */
+      inA1 = pIn1[2];
+
+      /* Add and saturate */
+      out2 = __QADD(inA2, inB2);
+
+      /* Read values from source B */
+      inB1 = pIn2[2];
+
+      /* Store result in destination */
+      pOut[0] = out1;
+      pOut[1] = out2;
+
+      /* Read values from source A */
+      inA2 = pIn1[3];
+
+      /* Read values from source B */
+      inB2 = pIn2[3];
+
+      /* Add and saturate */
+      out1 = __QADD(inA1, inB1);
+      out2 = __QADD(inA2, inB2);
+
+      /* Store result in destination */
+      pOut[2] = out1;
+      pOut[3] = out2;
+
+      /* update pointers to process next sampels */
+      pIn1 += 4u;
+      pIn2 += 4u;
+      pOut += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.      
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add, saturate and then store the results in the destination buffer. */
+      inA1 = *pIn1++;
+      inB1 = *pIn2++;
+
+      inA1 = __QADD(inA1, inB1);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+
+      *pOut++ = inA1;
+
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**      
+ * @} end of MatrixAdd group      
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
new file mode 100644
index 0000000..dd41e7c
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_mat_cmplx_mult_f32.c      
+*      
+* Description:  Floating-point matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**      
+ * @ingroup groupMatrix      
+ */
+
+/**      
+ * @defgroup CmplxMatrixMult  Complex Matrix Multiplication     
+ *     
+ * Complex Matrix multiplication is only defined if the number of columns of the      
+ * first matrix equals the number of rows of the second matrix.      
+ * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results      
+ * in an <code>M x P</code> matrix.      
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of      
+ * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output      
+ * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.      
+ */
+
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+/**      
+ * @brief Floating-point Complex matrix multiplication.      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.      
+ */
+
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  float32_t sumReal1, sumImag1;                  /* accumulator */
+  float32_t a0, b0, c0, d0;
+  float32_t a1, b1, c1, d1;
+  float32_t sumReal2, sumImag2;                  /* accumulator */
+
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set      
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0f;
+        sumImag1 = 0.0f;
+
+        sumReal2 = 0.0f;
+        sumImag2 = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* matrix multiplication        */
+        while(colCnt > 0u)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1u);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1u);
+
+          sumReal1 += a0 * c0;
+          sumImag1 += b0 * c0;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b0 * d0;
+          sumImag2 += a0 * d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          a0 = *pIn1;
+          c0 = *pIn2;
+
+          b0 = *(pIn1 + 1u);
+          d0 = *(pIn2 + 1u);
+
+          sumReal1 += a0 * c0;
+          sumImag1 += b0 * c0;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b0 * d0;
+          sumImag2 += a0 * d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.      
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        sumReal1 += sumReal2;
+        sumImag1 += sumImag2;
+
+        /* Store the result in the destination buffer */
+        *px++ = sumReal1;
+        *px++ = sumImag1;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2u * j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**      
+ * @} end of MatrixMult group      
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
new file mode 100644
index 0000000..8e3fc06
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
@@ -0,0 +1,424 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_cmplx_mat_mult_q15.c      
+*      
+* Description:	 Q15 complex matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**      
+ * @ingroup groupMatrix      
+ */
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+
+/**      
+ * @brief Q15 Complex matrix multiplication      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @param[in]		*pScratch points to the array for storing intermediate results     
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.         
+ *  
+ * \par Conditions for optimum performance  
+ *  Input, output and state buffers should be aligned by 32-bit  
+ *  
+ * \par Restrictions  
+ *  If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE  
+ *	In this case input, output, scratch buffers should be aligned by 32-bit  
+ *  
+ * @details      
+ * <b>Scaling and Overflow Behavior:</b>      
+ *      
+ * \par      
+ * The function is implemented using a 64-bit internal accumulator. The inputs to the      
+ * multiplications are in 1.15 format and multiplications yield a 2.30 result.      
+ * The 2.30 intermediate      
+ * results are accumulated in a 64-bit accumulator in 34.30 format. This approach      
+ * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then      
+ * truncated to 34.15 format by discarding the low 15 bits and then saturated to      
+ * 1.15 format.      
+ *      
+ * \par      
+ * Refer to <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function.      
+ *      
+ */
+
+
+
+
+arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pScratch)
+{
+  /* accumulator */
+  q15_t *pSrcBT = pScratch;                      /* input data matrix pointer for transpose */
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+  q15_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
+  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+  q63_t sumReal, sumImag;
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  q15_t in;                                      /* Temporary variable to hold the input value */
+  q15_t a, b, c, d;
+#else
+  q31_t in;                                      /* Temporary variable to hold the input value */
+  q31_t prod1, prod2;
+  q31_t pSourceA, pSourceB;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = numColsB >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pSrcBT + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.      
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(col > 0u)
+      {
+#ifdef UNALIGNED_SUPPORT_DISABLE
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read two elements from the row */
+        in = *pInB++;
+        *px = in;
+        in = *pInB++;
+        px[1] = in;
+#else
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.      
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        *__SIMD32(px) = in;
+#endif
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      i = i + 2u;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Reset the variables for the usage in the following multiplication process */
+    row = numRowsA;
+    i = 0u;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set      
+       ** to the starting address of the transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal = 0;
+        sumImag = 0;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 1;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pInA = pSrcA->pData + i * 2;
+
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+          /* read real and imag values from pSrcA buffer */
+          a = *pInA;
+          b = *(pInA + 1u);
+          /* read real and imag values from pSrcB buffer */
+          c = *pInB;
+          d = *(pInB + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+
+          /* read next real and imag values from pSrcA buffer */
+          a = *(pInA + 2u);
+          b = *(pInA + 3u);
+          /* read next real and imag values from pSrcB buffer */
+          c = *(pInB + 2u);
+          d = *(pInB + 3u);
+
+          /* update pointer */
+          pInA += 4u;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+          /* update pointer */
+          pInB += 4u;
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* process odd column samples */
+        if((numColsA & 0x1u) > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a = *pInA++;
+          b = *pInA++;
+          c = *pInB++;
+          d = *pInB++;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = *__SIMD32(pInA)++;
+          pSourceB = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#endif /*      #ifdef UNALIGNED_SUPPORT_DISABLE */
+
+        }
+
+        /* Saturate and store the result in the destination buffer */
+
+        *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
+        *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      i = i + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**      
+ * @} end of MatrixMult group      
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
new file mode 100644
index 0000000..4dfe1fd
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
@@ -0,0 +1,293 @@
+/* ----------------------------------------------------------------------      
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved. 
+*      
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*      
+* Project:      CMSIS DSP Library 
+* Title:	    arm_mat_cmplx_mult_q31.c      
+*      
+* Description:  Floating-point matrix multiplication.      
+*      
+* Target Processor:          Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+#include "arm_math.h"
+
+/**     
+ * @ingroup groupMatrix     
+ */
+
+/**      
+ * @addtogroup CmplxMatrixMult      
+ * @{      
+ */
+
+/**      
+ * @brief Q31 Complex matrix multiplication      
+ * @param[in]       *pSrcA points to the first input complex matrix structure      
+ * @param[in]       *pSrcB points to the second input complex matrix structure      
+ * @param[out]      *pDst points to output complex matrix structure      
+ * @return     		The function returns either      
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.      
+ *      
+ * @details      
+ * <b>Scaling and Overflow Behavior:</b>      
+ *      
+ * \par      
+ * The function is implemented using an internal 64-bit accumulator.      
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate      
+ * multiplication results but provides only a single guard bit. There is no saturation      
+ * on intermediate additions. Thus, if the accumulator overflows it wraps around and      
+ * distorts the result. The input signals should be scaled down to avoid intermediate      
+ * overflows. The input is thus scaled down by log2(numColsA) bits      
+ * to avoid overflows, as a total of numColsA additions are performed internally.      
+ * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.      
+ *      
+ *      
+ */
+
+arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A  */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  q63_t sumReal1, sumImag1;                      /* accumulator */
+  q31_t a0, b0, c0, d0;
+  q31_t a1, b1, c1, d1;
+
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set     
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0;
+        sumImag1 = 0.0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* matrix multiplication        */
+        while(colCnt > 0u)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1u);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a0 *c0;
+          sumImag1 += (q63_t) b0 *c0;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b0 *d0;
+          sumImag1 += (q63_t) a0 *d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a1 = *pIn1;
+          c1 = *pIn2;
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          a0 = *pIn1;
+          c0 = *pIn2;
+
+          b0 = *(pIn1 + 1u);
+          d0 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a0 *c0;
+          sumImag1 += (q63_t) b0 *c0;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b0 *d0;
+          sumImag1 += (q63_t) a0 *d0;
+
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.     
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1u);
+          d1 = *(pIn2 + 1u);
+
+          /* Multiply and Accumlates */
+          sumReal1 += (q63_t) a1 *c1;
+          sumImag1 += (q63_t) b1 *c1;
+
+          /* update pointers */
+          pIn1 += 2u;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal1 -= (q63_t) b1 *d1;
+          sumImag1 += (q63_t) a1 *d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = (q31_t) clip_q63_to_q31(sumReal1 >> 31);
+        *px++ = (q31_t) clip_q63_to_q31(sumImag1 >> 31);
+        
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2u * j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**     
+ * @} end of MatrixMult group     
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
new file mode 100644
index 0000000..1a0e5e8
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_f32.c
@@ -0,0 +1,88 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_mat_init_f32.c    
+*    
+* Description:	Floating-point matrix initialization.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixInit Matrix Initialization    
+ *    
+ * Initializes the underlying matrix data structure.    
+ * The functions set the <code>numRows</code>,    
+ * <code>numCols</code>, and <code>pData</code> fields    
+ * of the matrix data structure.    
+ */
+
+/**    
+ * @addtogroup MatrixInit    
+ * @{    
+ */
+
+/**    
+   * @brief  Floating-point matrix initialization.    
+   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
+   * @param[in]     nRows          number of rows in the matrix.    
+   * @param[in]     nColumns       number of columns in the matrix.    
+   * @param[in]     *pData	   points to the matrix data array.    
+   * @return        none    
+   */
+
+void arm_mat_init_f32(
+  arm_matrix_instance_f32 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  float32_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**    
+ * @} end of MatrixInit group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
new file mode 100644
index 0000000..33f2f78
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q15.c
@@ -0,0 +1,80 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_mat_init_q15.c    
+*    
+* Description:	Q15 matrix initialization.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixInit    
+ * @{    
+ */
+
+  /**    
+   * @brief  Q15 matrix initialization.    
+   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
+   * @param[in]     nRows          number of rows in the matrix.    
+   * @param[in]     nColumns       number of columns in the matrix.    
+   * @param[in]     *pData	   points to the matrix data array.    
+   * @return        none    
+   */
+
+void arm_mat_init_q15(
+  arm_matrix_instance_q15 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q15_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**    
+ * @} end of MatrixInit group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
new file mode 100644
index 0000000..27c451a
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_init_q31.c
@@ -0,0 +1,84 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_mat_init_q31.c    
+*    
+* Description:	Q31 matrix initialization.    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixInit Matrix Initialization    
+ *    
+ */
+
+/**    
+ * @addtogroup MatrixInit    
+ * @{    
+ */
+
+  /**    
+   * @brief  Q31 matrix initialization.    
+   * @param[in,out] *S             points to an instance of the floating-point matrix structure.    
+   * @param[in]     nRows          number of rows in the matrix.    
+   * @param[in]     nColumns       number of columns in the matrix.    
+   * @param[in]     *pData	   points to the matrix data array.    
+   * @return        none    
+   */
+
+void arm_mat_init_q31(
+  arm_matrix_instance_q31 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q31_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**    
+ * @} end of MatrixInit group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
new file mode 100644
index 0000000..40b67ad
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f32.c
@@ -0,0 +1,703 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_inverse_f32.c    
+*    
+* Description:	Floating-point matrix inverse.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixInv Matrix Inverse    
+ *    
+ * Computes the inverse of a matrix.    
+ *    
+ * The inverse is defined only if the input matrix is square and non-singular (the determinant    
+ * is non-zero). The function checks that the input and output matrices are square and of the    
+ * same size.    
+ *    
+ * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
+ * inversion of floating-point matrices.    
+ *    
+ * \par Algorithm    
+ * The Gauss-Jordan method is used to find the inverse.    
+ * The algorithm performs a sequence of elementary row-operations until it    
+ * reduces the input matrix to an identity matrix. Applying the same sequence    
+ * of elementary row-operations to an identity matrix yields the inverse matrix.    
+ * If the input matrix is singular, then the algorithm terminates and returns error status    
+ * <code>ARM_MATH_SINGULAR</code>.    
+ * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
+ */
+
+/**    
+ * @addtogroup MatrixInv    
+ * @{    
+ */
+
+/**    
+ * @brief Floating-point matrix inverse.    
+ * @param[in]       *pSrc points to input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size    
+ * of the output matrix does not match the size of the input matrix.    
+ * If the input matrix is found to be singular (non-invertible), then the function returns    
+ * <code>ARM_MATH_SINGULAR</code>.  Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>.    
+ */
+
+arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float32_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  float32_t maxC;                                /* maximum value in the column */
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------    
+	 * Matrix Inverse can be solved using elementary row operations.    
+	 *    
+	 *	Gauss-Jordan Method:    
+	 *    
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
+	 *        augmented matrix as follows:    
+	 *				        _ 	      	       _         _	       _    
+	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
+	 *					   |           |        |   =   |           |    
+	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
+	 *    
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *    
+	 *		3. Begin with the first row. Let i = 1.    
+	 *    
+	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
+	 *		   The pivot is the element of the main diagonal that is on the current row.    
+	 *		   For instance, if working with row i, then the pivot element is aii.    
+	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
+	 *		   below it that does contain the most significant value in column i. If the most
+	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
+	 *		   The most significant value of the column is the absolute maximum.
+	 *    
+	 *	    5. Divide every element of row i by the pivot.    
+	 *    
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
+	 *		   a multiple of row i so that each new element in column i below row i is zero.    
+	 *    
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
+	 *		   for every element below and above the main diagonal.    
+	 *    
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
+	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.    
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.    
+       * If there is no non zero element to replace in the rows below,    
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points    
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points    
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if(maxC == 0.0f)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1  */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1u;
+      
+      /* Check if the pivot element is the most significant of the column */
+      if( (in > 0.0f ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1u);
+
+        while(i > 0u)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to    
+           * replace in the rows below */
+          if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns    
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement the loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+
+      /* Loop over number of columns    
+       * to the right of the pilot element */
+      j = (numCols - l);
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the input matrix    
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols;
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the destination matrix    
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i    
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0u;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while(k > 0u)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,    
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,    
+             to replace the elements in the input matrix */
+          j = (numCols - l);
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to    
+             replace the elements in the destination matrix */
+          j = numCols;
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement the loop counter */
+        k--;
+
+        /* Increment the pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t Xchg, in = 0.0f;                     /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------       
+	 * Matrix Inverse can be solved using elementary row operations.        
+	 *        
+	 *	Gauss-Jordan Method:       
+	 *	 	       
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
+	 *        augmented matrix as follows:        
+	 *				        _  _	      _	    _	   _   _         _	       _       
+	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
+	 *					   |  |            | | |        |   |   =   |           |        
+	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
+	 *					          
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *       
+	 *		3. Begin with the first row. Let i = 1.       
+	 *       
+	 *	    4. Check to see if the pivot for row i is zero.       
+	 *		   The pivot is the element of the main diagonal that is on the current row.       
+	 *		   For instance, if working with row i, then the pivot element is aii.       
+	 *		   If the pivot is zero, exchange that row with a row below it that does not        
+	 *		   contain a zero in column i. If this is not possible, then an inverse        
+	 *		   to that matrix does not exist.       
+	 *	       
+	 *	    5. Divide every element of row i by the pivot.       
+	 *	       
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
+	 *		   a multiple of row i so that each new element in column i below row i is zero.       
+	 *	       
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
+	 *		   for every element below and above the main diagonal.        
+	 *		   		          
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
+	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.     
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.   
+       * If there is no non zero element to replace in the rows below,   
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points     
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points     
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Destination pointer modifier */
+      k = 1u;
+
+      /* Check if the pivot element is zero */
+      if(*pInT1 == 0.0f)
+      {
+        /* Loop over the number rows present below */
+        for (i = (l + 1u); i < numRows; i++)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Check if there is a non zero pivot element to     
+           * replace in the rows below */
+          if(*pInT2 != 0.0f)
+          {
+            /* Loop over number of columns     
+             * to the right of the pilot element */
+            for (j = 0u; j < (numCols - l); j++)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+            }
+
+            for (j = 0u; j < numCols; j++)
+            {
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pOutT1 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *(pIn + (l * numCols));
+
+      /* Loop over number of columns     
+       * to the right of the pilot element */
+      for (j = 0u; j < (numCols - l); j++)
+      {
+        /* Divide each element of the row of the input matrix     
+         * by the pivot element */
+        *pInT1 = *pInT1 / in;
+        pInT1++;
+      }
+      for (j = 0u; j < numCols; j++)
+      {
+        /* Divide each element of the row of the destination matrix     
+         * by the pivot element */
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i     
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pOutT1 = pOut;
+
+      for (i = 0u; i < numRows; i++)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,     
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+          pOutT1 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,     
+             to replace the elements in the input matrix */
+          for (j = 0u; j < (numCols - l); j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pInT1 = *pInT1 - (in * *pPRT_in++);
+            pInT1++;
+          }
+          /* Loop over the number of columns to     
+             replace the elements in the destination matrix */
+          for (j = 0u; j < numCols; j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
+          }
+
+        }
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+      }
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if((flag != 1u) && (in == 0.0f))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+      
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixInv group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c
new file mode 100644
index 0000000..a6c4980
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_inverse_f64.c
@@ -0,0 +1,703 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_inverse_f64.c    
+*    
+* Description:	Floating-point matrix inverse.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixInv Matrix Inverse    
+ *    
+ * Computes the inverse of a matrix.    
+ *    
+ * The inverse is defined only if the input matrix is square and non-singular (the determinant    
+ * is non-zero). The function checks that the input and output matrices are square and of the    
+ * same size.    
+ *    
+ * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix    
+ * inversion of floating-point matrices.    
+ *    
+ * \par Algorithm    
+ * The Gauss-Jordan method is used to find the inverse.    
+ * The algorithm performs a sequence of elementary row-operations until it    
+ * reduces the input matrix to an identity matrix. Applying the same sequence    
+ * of elementary row-operations to an identity matrix yields the inverse matrix.    
+ * If the input matrix is singular, then the algorithm terminates and returns error status    
+ * <code>ARM_MATH_SINGULAR</code>.    
+ * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"    
+ */
+
+/**    
+ * @addtogroup MatrixInv    
+ * @{    
+ */
+
+/**    
+ * @brief Floating-point matrix inverse.    
+ * @param[in]       *pSrc points to input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size    
+ * of the output matrix does not match the size of the input matrix.    
+ * If the input matrix is found to be singular (non-invertible), then the function returns    
+ * <code>ARM_MATH_SINGULAR</code>.  Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>.    
+ */
+
+arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst)
+{
+  float64_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float64_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float64_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float64_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  float64_t maxC;                                /* maximum value in the column */
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float64_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------    
+	 * Matrix Inverse can be solved using elementary row operations.    
+	 *    
+	 *	Gauss-Jordan Method:    
+	 *    
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an    
+	 *        augmented matrix as follows:    
+	 *				        _ 	      	       _         _	       _    
+	 *					   |  a11  a12 | 1   0  |       |  X11 X12  |    
+	 *					   |           |        |   =   |           |    
+	 *					   |_ a21  a22 | 0   1 _|       |_ X21 X21 _|    
+	 *    
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *    
+	 *		3. Begin with the first row. Let i = 1.    
+	 *    
+	 *	    4. Check to see if the pivot for column i is the greatest of the column.    
+	 *		   The pivot is the element of the main diagonal that is on the current row.    
+	 *		   For instance, if working with row i, then the pivot element is aii.    
+	 *		   If the pivot is not the most significant of the columns, exchange that row with a row
+	 *		   below it that does contain the most significant value in column i. If the most
+	 *         significant value of the column is zero, then an inverse to that matrix does not exist.
+	 *		   The most significant value of the column is the absolute maximum.
+	 *    
+	 *	    5. Divide every element of row i by the pivot.    
+	 *    
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and    
+	 *		   a multiple of row i so that each new element in column i below row i is zero.    
+	 *    
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros    
+	 *		   for every element below and above the main diagonal.    
+	 *    
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).    
+	 *		   Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).    
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.    
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.    
+       * If there is no non zero element to replace in the rows below,    
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points    
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points    
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if(maxC == 0.0f)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1  */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1u;
+      
+      /* Check if the pivot element is the most significant of the column */
+      if( (in > 0.0f ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1u);
+
+        while(i > 0u)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to    
+           * replace in the rows below */
+          if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns    
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while(j > 0u)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement the loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+
+      /* Loop over number of columns    
+       * to the right of the pilot element */
+      j = (numCols - l);
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the input matrix    
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols;
+
+      while(j > 0u)
+      {
+        /* Divide each element of the row of the destination matrix    
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i    
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0u;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while(k > 0u)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,    
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,    
+             to replace the elements in the input matrix */
+          j = (numCols - l);
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to    
+             replace the elements in the destination matrix */
+          j = numCols;
+
+          while(j > 0u)
+          {
+            /* Replace the element by the sum of that row    
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement the loop counter */
+        k--;
+
+        /* Increment the pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float64_t Xchg, in = 0.0f;                     /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------       
+	 * Matrix Inverse can be solved using elementary row operations.        
+	 *        
+	 *	Gauss-Jordan Method:       
+	 *	 	       
+	 *	   1. First combine the identity matrix and the input matrix separated by a bar to form an        
+	 *        augmented matrix as follows:        
+	 *				        _  _	      _	    _	   _   _         _	       _       
+	 *					   |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |         
+	 *					   |  |            | | |        |   |   =   |           |        
+	 *					   |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|       
+	 *					          
+	 *		2. In our implementation, pDst Matrix is used as identity matrix.    
+	 *       
+	 *		3. Begin with the first row. Let i = 1.       
+	 *       
+	 *	    4. Check to see if the pivot for row i is zero.       
+	 *		   The pivot is the element of the main diagonal that is on the current row.       
+	 *		   For instance, if working with row i, then the pivot element is aii.       
+	 *		   If the pivot is zero, exchange that row with a row below it that does not        
+	 *		   contain a zero in column i. If this is not possible, then an inverse        
+	 *		   to that matrix does not exist.       
+	 *	       
+	 *	    5. Divide every element of row i by the pivot.       
+	 *	       
+	 *	    6. For every row below and  row i, replace that row with the sum of that row and        
+	 *		   a multiple of row i so that each new element in column i below row i is zero.       
+	 *	       
+	 *	    7. Move to the next row and column and repeat steps 2 through 5 until you have zeros       
+	 *		   for every element below and above the main diagonal.        
+	 *		   		          
+	 *		8. Now an identical matrix is formed to the left of the bar(input matrix, src).       
+	 *		   Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).         
+	 *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while(rowCnt > 0u)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1u;
+      while(j > 0u)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.     
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0u;
+    //for(loopCnt = 0u; loopCnt < numCols; loopCnt++)   
+    while(loopCnt > 0u)
+    {
+      /* Check if the pivot element is zero..    
+       * If it is zero then interchange the row with non zero row below.   
+       * If there is no non zero element to replace in the rows below,   
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points     
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points     
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Destination pointer modifier */
+      k = 1u;
+
+      /* Check if the pivot element is zero */
+      if(*pInT1 == 0.0f)
+      {
+        /* Loop over the number rows present below */
+        for (i = (l + 1u); i < numRows; i++)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Check if there is a non zero pivot element to     
+           * replace in the rows below */
+          if(*pInT2 != 0.0f)
+          {
+            /* Loop over number of columns     
+             * to the right of the pilot element */
+            for (j = 0u; j < (numCols - l); j++)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+            }
+
+            for (j = 0u; j < numCols; j++)
+            {
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1u;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if((flag != 1u) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pOutT1 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *(pIn + (l * numCols));
+
+      /* Loop over number of columns     
+       * to the right of the pilot element */
+      for (j = 0u; j < (numCols - l); j++)
+      {
+        /* Divide each element of the row of the input matrix     
+         * by the pivot element */
+        *pInT1 = *pInT1 / in;
+        pInT1++;
+      }
+      for (j = 0u; j < numCols; j++)
+      {
+        /* Divide each element of the row of the destination matrix     
+         * by the pivot element */
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i     
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pOutT1 = pOut;
+
+      for (i = 0u; i < numRows; i++)
+      {
+        /* Check for the pivot element */
+        if(i == l)
+        {
+          /* If the processing element is the pivot element,     
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+          pOutT1 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,     
+             to replace the elements in the input matrix */
+          for (j = 0u; j < (numCols - l); j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pInT1 = *pInT1 - (in * *pPRT_in++);
+            pInT1++;
+          }
+          /* Loop over the number of columns to     
+             replace the elements in the destination matrix */
+          for (j = 0u; j < numCols; j++)
+          {
+            /* Replace the element by the sum of that row     
+               and a multiple of the reference row  */
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
+          }
+
+        }
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+      }
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if((flag != 1u) && (in == 0.0f))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+      
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixInv group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
new file mode 100644
index 0000000..55349de
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_f32.c
@@ -0,0 +1,286 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_mult_f32.c    
+*    
+* Description:  Floating-point matrix multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @defgroup MatrixMult Matrix Multiplication    
+ *    
+ * Multiplies two matrices.    
+ *    
+ * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"    
+    
+ * Matrix multiplication is only defined if the number of columns of the    
+ * first matrix equals the number of rows of the second matrix.    
+ * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results    
+ * in an <code>M x P</code> matrix.    
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of    
+ * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output    
+ * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.    
+ */
+
+
+/**    
+ * @addtogroup MatrixMult    
+ * @{    
+ */
+
+/**    
+ * @brief Floating-point matrix multiplication.    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ */
+
+arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t in1, in2, in3, in4;
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set    
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2u;
+
+        /* matrix multiplication        */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          in3 = *pIn2;
+          pIn2 += numColsB;
+          in1 = pIn1[0];
+          in2 = pIn1[1];
+          sum += in1 * in3;
+          in4 = *pIn2;
+          pIn2 += numColsB;
+          sum += in2 * in4;
+
+          in3 = *pIn2;
+          pIn2 += numColsB;
+          in1 = pIn1[2];
+          in2 = pIn1[3];
+          sum += in1 * in3;
+          in4 = *pIn2;
+          pIn2 += numColsB;
+          sum += in2 * in4;
+          pIn1 += 4u;
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.    
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          sum += *pIn1++ * (*pIn2);
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = sum;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t *pInB = pSrcB->pData;                /* input data matrix pointer B */
+  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pInA with each column in pInB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set     
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0.0f;
+
+        /* Initialize the pointer pIn1 to point to the starting address of the row being processed */
+        pIn1 = pInA;
+
+        /* Matrix A columns number of MAC operations are to be performed */
+        colCnt = numColsA;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          sum += *pIn1++ * (*pIn2);
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = sum;
+
+        /* Decrement the column loop counter */
+        col--;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while(col > 0u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixMult group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
new file mode 100644
index 0000000..11139b8
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
@@ -0,0 +1,369 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_mult_fast_q15.c    
+*    
+* Description:	 Q15 matrix multiplication (fast variant)    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @param[in]		*pState points to the array for storing intermediate results    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The difference between the function arm_mat_mult_q15() and this fast variant is that    
+ * the fast variant use a 32-bit rather than a 64-bit accumulator.    
+ * The result of each 1.15 x 1.15 multiplication is truncated to        
+ * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30        
+ * format. Finally, the accumulator is saturated and converted to a 1.15 result.        
+ *        
+ * \par        
+ * The fast version has the same overflow behavior as the standard version but provides        
+ * less precision since it discards the low 16 bits of each multiplication result.        
+ * In order to avoid overflows completely the input signals must be scaled down.        
+ * Scale down one of the input matrices by log2(numColsA) bits to        
+ * avoid overflows, as a total of numColsA additions are computed internally for each        
+ * output element.        
+ *        
+ * \par    
+ * See <code>arm_mat_mult_q15()</code> for a slower implementation of this function    
+ * which uses 64-bit accumulation to provide higher precision.    
+ */
+
+arm_status arm_mat_mult_fast_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pState)
+{
+  q31_t sum;                                     /* accumulator */
+  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+  q15_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
+  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  q31_t in;                                      /* Temporary variable to hold the input value */
+  q31_t inA1, inA2, inB1, inB2;
+
+#else
+
+  q15_t in;                                      /* Temporary variable to hold the input value */
+  q15_t inA1, inA2, inB1, inB2;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = numColsB >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pSrcBT + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(col > 0u)
+      {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) in;
+
+#else
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store the second element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *px = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) in;
+
+#else
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store the second element in the destination */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *px = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+#else
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+        
+		/* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pInB++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Reset the variables for the usage in the following multiplication process */
+    row = numRowsA;
+    i = 0u;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set        
+       ** to the starting address of the transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pInA = pSrcA->pData + i;
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+          inA1 = *__SIMD32(pInA)++;
+          inB1 = *__SIMD32(pInB)++;
+          inA2 = *__SIMD32(pInA)++;
+          inB2 = *__SIMD32(pInB)++;
+
+          sum = __SMLAD(inA1, inB1, sum);
+          sum = __SMLAD(inA2, inB2, sum);
+
+#else
+
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          inA2 = *pInA++;
+          sum += inA1 * inB1;
+          inB2 = *pInB++;
+
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          sum += inA2 * inB2;
+          inA2 = *pInA++;
+          inB2 = *pInB++;
+
+          sum += inA1 * inB1;
+          sum += inA2 * inB2;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* process odd column samples */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          sum += (q31_t) (*pInA++) * (*pInB++);
+
+          colCnt--;
+        }
+
+        /* Saturate and store the result in the destination buffer */
+        *px = (q15_t) (sum >> 15);
+        px++;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      i = i + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixMult group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
new file mode 100644
index 0000000..dbc3141
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
@@ -0,0 +1,226 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_mult_fast_q31.c    
+*    
+* Description:	 Q31 matrix multiplication (fast variant).    
+*    
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixMult    
+ * @{    
+ */
+
+/**    
+ * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The difference between the function arm_mat_mult_q31() and this fast variant is that    
+ * the fast variant use a 32-bit rather than a 64-bit accumulator.    
+ * The result of each 1.31 x 1.31 multiplication is truncated to    
+ * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30    
+ * format. Finally, the accumulator is saturated and converted to a 1.31 result.    
+ *    
+ * \par    
+ * The fast version has the same overflow behavior as the standard version but provides    
+ * less precision since it discards the low 32 bits of each multiplication result.    
+ * In order to avoid overflows completely the input signals must be scaled down.    
+ * Scale down one of the input matrices by log2(numColsA) bits to    
+ * avoid overflows, as a total of numColsA additions are computed internally for each    
+ * output element.    
+ *    
+ * \par    
+ * See <code>arm_mat_mult_q31()</code> for a slower implementation of this function    
+ * which uses 64-bit accumulation to provide higher precision.    
+ */
+
+arm_status arm_mat_mult_fast_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+//  q31_t *pSrcB = pSrcB->pData;                    /* input data matrix pointer B */    
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  q31_t sum;                                     /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+  q31_t inA1, inA2, inA3, inA4, inB1, inB2, inB3, inB4;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set    
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of pInA */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          inB1 = *pIn2;
+          pIn2 += numColsB;
+
+          inA1 = pIn1[0];
+          inA2 = pIn1[1];
+
+          inB2 = *pIn2;
+          pIn2 += numColsB;
+
+          inB3 = *pIn2;
+          pIn2 += numColsB;
+
+          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA1 * inB1)) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA2 * inB2)) >> 32);
+
+          inA3 = pIn1[2];
+          inA4 = pIn1[3];
+
+          inB4 = *pIn2;
+          pIn2 += numColsB;
+
+          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA3 * inB3)) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA4 * inB4)) >> 32);
+
+          pIn1 += 4u;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * pIn1++ * (*pIn2))) >> 32);
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+        *px++ = sum << 1;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixMult group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
new file mode 100644
index 0000000..9e8d26d
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q15.c
@@ -0,0 +1,469 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_mult_q15.c    
+*    
+* Description:	 Q15 matrix multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixMult    
+ * @{    
+ */
+
+
+/**    
+ * @brief Q15 matrix multiplication    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @param[in]		*pState points to the array for storing intermediate results (Unused)  
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator. The inputs to the    
+ * multiplications are in 1.15 format and multiplications yield a 2.30 result.    
+ * The 2.30 intermediate    
+ * results are accumulated in a 64-bit accumulator in 34.30 format. This approach    
+ * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then    
+ * truncated to 34.15 format by discarding the low 15 bits and then saturated to    
+ * 1.15 format.    
+ *    
+ * \par    
+ * Refer to <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.    
+ *    
+ */
+
+arm_status arm_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pState CMSIS_UNUSED)
+{
+  q63_t sum;                                     /* accumulator */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q15_t *pSrcBT = pState;                        /* input data matrix pointer for transpose */
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+  q15_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A    */
+  uint16_t col, i = 0u, row = numRowsB, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  q31_t in;                                      /* Temporary variable to hold the input value */
+  q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2;
+
+#else
+
+  q15_t in;                                      /* Temporary variable to hold the input value */
+  q15_t inA1, inB1, inA2, inB2;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = numColsB >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pSrcBT + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.        
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(col > 0u)
+      {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) in;
+
+#else
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store the second element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *px = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pInB)++;
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) in;
+
+#else
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store the second element in the destination */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *px = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+#else
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Read one element from the row */
+        in = *pInB++;
+
+        /* Store one element in the destination */
+        *px = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+       /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.        
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4u;
+
+      while(col > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pInB++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += numRowsB;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* Reset the variables for the usage in the following multiplication process */
+    row = numRowsA;
+    i = 0u;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set        
+       ** to the starting address of the transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pInA = pSrcA->pData + i;
+
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA1 = *__SIMD32(pInA)++;
+          pSourceB1 = *__SIMD32(pInB)++;
+
+          pSourceA2 = *__SIMD32(pInA)++;
+          pSourceB2 = *__SIMD32(pInB)++;
+
+          /* Multiply and Accumlates */
+          sum = __SMLALD(pSourceA1, pSourceB1, sum);
+          sum = __SMLALD(pSourceA2, pSourceB2, sum);
+
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          inA2 = *pInA++;
+          /* Multiply and Accumlates */
+          sum += inA1 * inB1;
+          inB2 = *pInB++;
+
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          /* Multiply and Accumlates */
+          sum += inA2 * inB2;
+          inA2 = *pInA++;
+          inB2 = *pInB++;
+
+          /* Multiply and Accumlates */
+          sum += inA1 * inB1;
+          sum += inA2 * inB2;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* process remaining column samples */
+        colCnt = numColsA & 3u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          sum += *pInA++ * *pInB++;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Saturate and store the result in the destination buffer */
+        *px = (q15_t) (__SSAT((sum >> 15), 16));
+        px++;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+      i = i + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q15_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q15_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set          
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of pSrcA */
+        pIn1 = pInA;
+
+        /* Matrix A columns number of MAC operations are to be performed */
+        colCnt = numColsA;
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          sum += (q31_t) * pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */
+        /* Saturate and store the result in the destination buffer */
+        *px++ = (q15_t) __SSAT((sum >> 15), 16);
+
+        /* Decrement the column loop counter */
+        col--;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while(col > 0u);
+
+      /* Update the pointer pSrcA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixMult group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
new file mode 100644
index 0000000..6c97eef
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_mult_q31.c
@@ -0,0 +1,294 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_mult_q31.c    
+*    
+* Description:	 Q31 matrix multiplication.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixMult    
+ * @{    
+ */
+
+/**    
+ * @brief Q31 matrix multiplication    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using an internal 64-bit accumulator.    
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate    
+ * multiplication results but provides only a single guard bit. There is no saturation    
+ * on intermediate additions. Thus, if the accumulator overflows it wraps around and    
+ * distorts the result. The input signals should be scaled down to avoid intermediate    
+ * overflows. The input is thus scaled down by log2(numColsA) bits    
+ * to avoid overflows, as a total of numColsA additions are performed internally.    
+ * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.    
+ *    
+ * \par    
+ * See <code>arm_mat_mult_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4.    
+ *    
+ */
+
+arm_status arm_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A    */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t col, i = 0u, j, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+  q31_t a0, a1, a2, a3, b0, b1, b2, b3;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set    
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0u;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of pInA */
+        pIn1 = pInA;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          b0 = *pIn2;
+          pIn2 += numColsB;
+
+          a0 = *pIn1++;
+          a1 = *pIn1++;
+
+          b1 = *pIn2;
+          pIn2 += numColsB;
+          b2 = *pIn2;
+          pIn2 += numColsB;
+
+          sum += (q63_t) a0 *b0;
+          sum += (q63_t) a1 *b1;
+
+          a2 = *pIn1++;
+          a3 = *pIn1++;
+
+          b3 = *pIn2;
+          pIn2 += numColsB;
+
+          sum += (q63_t) a2 *b2;
+          sum += (q63_t) a3 *b3;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here.    
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4u;
+
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) * pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
+        *px++ = (q31_t) (sum >> 31);
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = (pSrcB->pData) + j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while(col > 0u);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+  uint16_t col, i = 0u, row = numRowsA, colCnt;  /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set          
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate the pointer pIn1 to point to the starting address of pInA */
+        pIn1 = pInA;
+
+        /* Matrix A columns number of MAC operations are to be performed */
+        colCnt = numColsA;
+
+        /* matrix multiplication */
+        while(colCnt > 0u)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) * pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Convert the result from 2.62 to 1.31 format and store in destination buffer */
+        *px++ = (q31_t) clip_q63_to_q31(sum >> 31);
+
+        /* Decrement the column loop counter */
+        col--;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while(col > 0u);
+
+#endif
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixMult group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
new file mode 100644
index 0000000..b7be4ce
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_f32.c
@@ -0,0 +1,181 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:        arm_mat_scale_f32.c    
+*    
+* Description:	Multiplies a floating-point matrix by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMatrix        
+ */
+
+/**        
+ * @defgroup MatrixScale Matrix Scale        
+ *        
+ * Multiplies a matrix by a scalar.  This is accomplished by multiplying each element in the        
+ * matrix by the scalar.  For example:        
+ * \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"        
+ *        
+ * The function checks to make sure that the input and output matrices are of the same size.        
+ *        
+ * In the fixed-point Q15 and Q31 functions, <code>scale</code> is represented by        
+ * a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>.        
+ * The shift allows the gain of the scaling operation to exceed 1.0.        
+ * The overall scale factor applied to the fixed-point data is        
+ * <pre>        
+ *     scale = scaleFract * 2^shift.        
+ * </pre>        
+ */
+
+/**        
+ * @addtogroup MatrixScale        
+ * @{        
+ */
+
+/**        
+ * @brief Floating-point matrix scaling.        
+ * @param[in]       *pSrc points to input matrix structure        
+ * @param[in]       scale scale factor to be applied         
+ * @param[out]      *pDst points to output matrix structure        
+ * @return     		The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>         
+ * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.        
+ *        
+ */
+
+arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  float32_t scale,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix scaling     */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  float32_t in1, in2, in3, in4;                  /* temporary variables */
+  float32_t out1, out2, out3, out4;              /* temporary variables */
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * scale */
+      /* Scaling and results are stored in the destination buffer. */
+      in1 = pIn[0];
+      in2 = pIn[1];
+      in3 = pIn[2];
+      in4 = pIn[3];
+
+      out1 = in1 * scale;
+      out2 = in2 * scale;
+      out3 = in3 * scale;
+      out4 = in4 * scale;
+
+
+      pOut[0] = out1;
+      pOut[1] = out2;
+      pOut[2] = out3;
+      pOut[3] = out4;
+
+      /* update pointers to process next sampels */
+      pIn += 4u;
+      pOut += 4u;
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * scale */
+      /* The results are stored in the destination buffer. */
+      *pOut++ = (*pIn++) * scale;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixScale group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
new file mode 100644
index 0000000..4e67cf9
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q15.c
@@ -0,0 +1,183 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_scale_q15.c    
+*    
+* Description:	Multiplies a Q15 matrix by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixScale    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 matrix scaling.    
+ * @param[in]       *pSrc points to input matrix    
+ * @param[in]       scaleFract fractional portion of the scale factor    
+ * @param[in]       shift number of bits to shift the result by    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format.    
+ * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.    
+ */
+
+arm_status arm_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  q15_t scaleFract,
+  int32_t shift,
+  arm_matrix_instance_q15 * pDst)
+{
+  q15_t *pIn = pSrc->pData;                      /* input data matrix pointer */
+  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  int32_t totShift = 15 - shift;                 /* total shift to apply after scaling */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix scaling     */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q15_t in1, in2, in3, in4;
+  q31_t out1, out2, out3, out4;
+  q31_t inA1, inA2;
+
+#endif //     #ifndef ARM_MATH_CM0_FAMILY
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch */
+  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif //    #ifdef ARM_MATH_MATRIX_CHECK
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * k */
+      /* Scale, saturate and then store the results in the destination buffer. */
+      /* Reading 2 inputs from memory */
+      inA1 = _SIMD32_OFFSET(pIn);
+      inA2 = _SIMD32_OFFSET(pIn + 2);
+
+      /* C = A * scale */
+      /* Scale the inputs and then store the 2 results in the destination buffer        
+       * in single cycle by packing the outputs */
+      out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+      out2 = (q31_t) ((q15_t) inA1 * scaleFract);
+      out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+      out4 = (q31_t) ((q15_t) inA2 * scaleFract);
+
+      out1 = out1 >> totShift;
+      inA1 = _SIMD32_OFFSET(pIn + 4);
+      out2 = out2 >> totShift;
+      inA2 = _SIMD32_OFFSET(pIn + 6);
+      out3 = out3 >> totShift;
+      out4 = out4 >> totShift;
+
+      in1 = (q15_t) (__SSAT(out1, 16));
+      in2 = (q15_t) (__SSAT(out2, 16));
+      in3 = (q15_t) (__SSAT(out3, 16));
+      in4 = (q15_t) (__SSAT(out4, 16));
+
+      _SIMD32_OFFSET(pOut) = __PKHBT(in2, in1, 16);
+      _SIMD32_OFFSET(pOut + 2) = __PKHBT(in4, in3, 16);
+
+      /* update pointers to process next sampels */
+      pIn += 4u;
+      pOut += 4u;
+
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * k */
+      /* Scale, saturate and then store the results in the destination buffer. */
+      *pOut++ =
+        (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> totShift, 16));
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixScale group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
new file mode 100644
index 0000000..845f306
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_scale_q31.c
@@ -0,0 +1,202 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_scale_q31.c    
+*    
+* Description:	Multiplies a Q31 matrix by a scalar.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  ------------------------------------------------ */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMatrix        
+ */
+
+/**        
+ * @addtogroup MatrixScale        
+ * @{        
+ */
+
+/**        
+ * @brief Q31 matrix scaling.        
+ * @param[in]       *pSrc points to input matrix        
+ * @param[in]       scaleFract fractional portion of the scale factor        
+ * @param[in]       shift number of bits to shift the result by        
+ * @param[out]      *pDst points to output matrix structure        
+ * @return     		The function returns either        
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.        
+ *        
+ * @details        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format.        
+ * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.        
+ */
+
+arm_status arm_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  q31_t scaleFract,
+  int32_t shift,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  int32_t totShift = shift + 1;                  /* shift to apply after scaling */
+  uint32_t blkCnt;                               /* loop counters  */
+  arm_status status;                             /* status of matrix scaling      */
+  q31_t in1, in2, out1;                          /* temporary variabels */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q31_t in3, in4, out2, out3, out4;              /* temporary variables */
+
+#endif //      #ifndef ARM_MAT_CM0
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch  */
+  if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif //    #ifdef ARM_MATH_MATRIX_CHECK
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * k */
+      /* Read values from input */
+      in1 = *pIn;
+      in2 = *(pIn + 1);
+      in3 = *(pIn + 2);
+      in4 = *(pIn + 3);
+
+      /* multiply input with scaler value */
+      in1 = ((q63_t) in1 * scaleFract) >> 32;
+      in2 = ((q63_t) in2 * scaleFract) >> 32;
+      in3 = ((q63_t) in3 * scaleFract) >> 32;
+      in4 = ((q63_t) in4 * scaleFract) >> 32;
+
+      /* apply shifting */
+      out1 = in1 << totShift;
+      out2 = in2 << totShift;
+
+      /* saturate the results. */
+      if(in1 != (out1 >> totShift))
+        out1 = 0x7FFFFFFF ^ (in1 >> 31);
+
+      if(in2 != (out2 >> totShift))
+        out2 = 0x7FFFFFFF ^ (in2 >> 31);
+
+      out3 = in3 << totShift;
+      out4 = in4 << totShift;
+
+      *pOut = out1;
+      *(pOut + 1) = out2;
+
+      if(in3 != (out3 >> totShift))
+        out3 = 0x7FFFFFFF ^ (in3 >> 31);
+
+      if(in4 != (out4 >> totShift))
+        out4 = 0x7FFFFFFF ^ (in4 >> 31);
+
+
+      *(pOut + 2) = out3;
+      *(pOut + 3) = out4;
+
+      /* update pointers to process next sampels */
+      pIn += 4u;
+      pOut += 4u;
+
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) * k */
+      /* Scale, saturate and then store the results in the destination buffer. */
+      in1 = *pIn++;
+
+      in2 = ((q63_t) in1 * scaleFract) >> 32;
+
+      out1 = in2 << totShift;
+
+      if(in2 != (out1 >> totShift))
+        out1 = 0x7FFFFFFF ^ (in2 >> 31);
+
+      *pOut++ = out1;
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixScale group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
new file mode 100644
index 0000000..5451a3a
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_f32.c
@@ -0,0 +1,209 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_sub_f32.c    
+*    
+* Description:	Floating-point matrix subtraction.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMatrix        
+ */
+
+/**        
+ * @defgroup MatrixSub Matrix Subtraction        
+ *        
+ * Subtract two matrices.        
+ * \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"        
+ *        
+ * The functions check to make sure that        
+ * <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same        
+ * number of rows and columns.        
+ */
+
+/**        
+ * @addtogroup MatrixSub        
+ * @{        
+ */
+
+/**        
+ * @brief Floating-point matrix subtraction        
+ * @param[in]       *pSrcA points to the first input matrix structure        
+ * @param[in]       *pSrcB points to the second input matrix structure        
+ * @param[out]      *pDst points to output matrix structure        
+ * @return     		The function returns either        
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.        
+ */
+
+arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer  */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      /* Read values from source A */
+      inA1 = pIn1[0];
+
+      /* Read values from source B */
+      inB1 = pIn2[0];
+
+      /* Read values from source A */
+      inA2 = pIn1[1];
+
+      /* out = sourceA - sourceB */
+      out1 = inA1 - inB1;
+
+      /* Read values from source B */
+      inB2 = pIn2[1];
+
+      /* Read values from source A */
+      inA1 = pIn1[2];
+
+      /* out = sourceA - sourceB */
+      out2 = inA2 - inB2;
+
+      /* Read values from source B */
+      inB1 = pIn2[2];
+
+      /* Store result in destination */
+      pOut[0] = out1;
+      pOut[1] = out2;
+
+      /* Read values from source A */
+      inA2 = pIn1[3];
+
+      /* Read values from source B */
+      inB2 = pIn2[3];
+
+      /* out = sourceA - sourceB */
+      out1 = inA1 - inB1;
+
+
+      /* out = sourceA - sourceB */
+      out2 = inA2 - inB2;
+
+      /* Store result in destination */
+      pOut[2] = out1;
+
+      /* Store result in destination */
+      pOut[3] = out2;
+
+
+      /* update pointers to process next sampels */
+      pIn1 += 4u;
+      pIn2 += 4u;
+      pOut += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      *pOut++ = (*pIn1++) - (*pIn2++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixSub group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
new file mode 100644
index 0000000..cc5a7b9
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q15.c
@@ -0,0 +1,160 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_sub_q15.c    
+*    
+* Description:	Q15 Matrix subtraction    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixSub    
+ * @{    
+ */
+
+/**    
+ * @brief Q15 matrix subtraction.    
+ * @param[in]       *pSrcA points to the first input matrix structure    
+ * @param[in]       *pSrcB points to the second input matrix structure    
+ * @param[out]      *pDst points to output matrix structure    
+ * @return     		The function returns either    
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ *    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ */
+
+arm_status arm_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+  q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+  q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters  */
+  arm_status status;                             /* status of matrix subtraction  */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Apply loop unrolling */
+    blkCnt = numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract, Saturate and then store the results in the destination buffer. */
+      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
+      *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixSub group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
new file mode 100644
index 0000000..d5ac206
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_sub_q31.c
@@ -0,0 +1,208 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_sub_q31.c    
+*    
+* Description:	Q31 matrix subtraction    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupMatrix        
+ */
+
+/**        
+ * @addtogroup MatrixSub        
+ * @{        
+ */
+
+/**        
+ * @brief Q31 matrix subtraction.        
+ * @param[in]       *pSrcA points to the first input matrix structure        
+ * @param[in]       *pSrcB points to the second input matrix structure        
+ * @param[out]      *pDst points to output matrix structure        
+ * @return     		The function returns either        
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.        
+ *        
+ * <b>Scaling and Overflow Behavior:</b>        
+ * \par        
+ * The function uses saturating arithmetic.        
+ * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated.        
+ */
+
+
+arm_status arm_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t inA1, inB1;                              /* temporary variables */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q31_t inA2, inB2;                              /* temporary variables */
+  q31_t out1, out2;                              /* temporary variables */
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix subtraction */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition  */
+  if((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+    /* Loop Unrolling */
+    blkCnt = numSamples >> 2u;
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract, saturate and then store the results in the destination buffer. */
+      /* Read values from source A */
+      inA1 = pIn1[0];
+
+      /* Read values from source B */
+      inB1 = pIn2[0];
+
+      /* Read values from source A */
+      inA2 = pIn1[1];
+
+      /* Subtract and saturate */
+      out1 = __QSUB(inA1, inB1);
+
+      /* Read values from source B */
+      inB2 = pIn2[1];
+
+      /* Read values from source A */
+      inA1 = pIn1[2];
+
+      /* Subtract and saturate */
+      out2 = __QSUB(inA2, inB2);
+
+      /* Read values from source B */
+      inB1 = pIn2[2];
+
+      /* Store result in destination */
+      pOut[0] = out1;
+      pOut[1] = out2;
+
+      /* Read values from source A */
+      inA2 = pIn1[3];
+
+      /* Read values from source B */
+      inB2 = pIn2[3];
+
+      /* Subtract and saturate */
+      out1 = __QSUB(inA1, inB1);
+
+      /* Subtract and saturate */
+      out2 = __QSUB(inA2, inB2);
+
+      /* Store result in destination */
+      pOut[2] = out1;
+      pOut[3] = out2;
+
+      /* update pointers to process next samples */
+      pIn1 += 4u;
+      pIn2 += 4u;
+      pOut += 4u;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.        
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4u;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+    while(blkCnt > 0u)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract, saturate and then store the results in the destination buffer. */
+      inA1 = *pIn1++;
+      inB1 = *pIn2++;
+
+      inA1 = __QSUB(inA1, inB1);
+
+      *pOut++ = inA1;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**        
+ * @} end of MatrixSub group        
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
new file mode 100644
index 0000000..f5cd456
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_f32.c
@@ -0,0 +1,218 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_trans_f32.c    
+*    
+* Description:	Floating-point matrix transpose.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+/**    
+ * @defgroup MatrixTrans Matrix Transpose    
+ *    
+ * Tranposes a matrix.    
+ * Transposing an <code>M x N</code> matrix flips it around the center diagonal and results in an <code>N x M</code> matrix.    
+ * \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"    
+ */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixTrans    
+ * @{    
+ */
+
+/**    
+  * @brief Floating-point matrix transpose.    
+  * @param[in]  *pSrc points to the input matrix    
+  * @param[out] *pDst points to the output matrix    
+  * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>    
+  * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+  */
+
+
+arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of rows */
+  uint16_t nColumns = pSrc->numCols;             /* number of columns */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
+  arm_status status;                             /* status of matrix transpose  */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+      /* Loop Unrolling */
+      blkCnt = nColumns >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(blkCnt > 0u)        /* column loop */
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+      /* Perform matrix transpose for last 3 samples here. */
+      blkCnt = nColumns % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  uint16_t col, i = 0u, row = nRows;             /* loop counters */
+  arm_status status;                             /* status of matrix transpose  */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      /* Initialize column loop counter */
+      col = nColumns;
+
+      while(col > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+      i++;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);          /* row loop end  */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixTrans group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
new file mode 100644
index 0000000..c4656bb
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q15.c
@@ -0,0 +1,284 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_trans_q15.c    
+*    
+* Description:	Q15 matrix transpose.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixTrans    
+ * @{    
+ */
+
+/*    
+ * @brief Q15 matrix transpose.    
+ * @param[in]  *pSrc points to the input matrix    
+ * @param[out] *pDst points to the output matrix    
+ * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>    
+ * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ */
+
+arm_status arm_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  arm_matrix_instance_q15 * pDst)
+{
+  q15_t *pSrcA = pSrc->pData;                    /* input data matrix pointer */
+  q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of nRows */
+  uint16_t nColumns = pSrc->numCols;             /* number of nColumns */
+  uint16_t col, row = nRows, i = 0u;             /* row and column loop counters */
+  arm_status status;                             /* status of matrix transpose */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+  q31_t in;                                      /* variable to hold temporary output  */
+
+#else
+
+  q15_t in;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = nColumns >> 2u;
+
+      /* The pointer pOut is set to starting address of the column being processed */
+      pOut = pDst->pData + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(col > 0u)
+      {
+#ifndef UNALIGNED_SUPPORT_DISABLE
+
+        /* Read two elements from the row */
+        in = *__SIMD32(pSrcA)++;
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *pOut = (q15_t) in;
+
+#else
+
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer pOut to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Unpack and store the second element in the destination */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *pOut = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer pOut to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Read two elements from the row */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        in = *__SIMD32(pSrcA)++;
+
+#else
+
+        in = *__SIMD32(pSrcA)++;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Unpack and store one element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *pOut = (q15_t) in;
+
+#else
+
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+        /* Update the pointer pOut to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Unpack and store the second element in the destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#else
+
+        *pOut = (q15_t) in;
+
+#endif /*    #ifndef ARM_MATH_BIG_ENDIAN    */
+
+#else	 
+        /* Read one element from the row */
+        in = *pSrcA++;
+
+        /* Store one element in the destination */
+        *pOut = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Read one element from the row */
+        in = *pSrcA++;
+
+        /* Store one element in the destination */
+        *pOut = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Read one element from the row */
+        in = *pSrcA++;
+
+        /* Store one element in the destination */
+        *pOut = in;
+ 
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Read one element from the row */
+        in = *pSrcA++;
+
+        /* Store one element in the destination */
+        *pOut = in;
+
+#endif	/*	#ifndef UNALIGNED_SUPPORT_DISABLE	*/
+
+        /* Update the pointer pOut to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      /* Perform matrix transpose for last 3 samples here. */
+      col = nColumns % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+      /* The pointer pOut is set to starting address of the column being processed */
+      pOut = pDst->pData + i;
+
+      /* Initialize column loop counter */
+      col = nColumns;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+      while(col > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *pOut = *pSrcA++;
+
+        /* Update the pointer pOut to point to the next row of the transposed matrix */
+        pOut += nRows;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    } while(row > 0u);
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixTrans group    
+ */
diff --git a/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
new file mode 100644
index 0000000..459700a
--- /dev/null
+++ b/DSP_Lib/Source/MatrixFunctions/arm_mat_trans_q31.c
@@ -0,0 +1,210 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_mat_trans_q31.c    
+*    
+* Description:	Q31 matrix transpose.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupMatrix    
+ */
+
+/**    
+ * @addtogroup MatrixTrans    
+ * @{    
+ */
+
+/*    
+  * @brief Q31 matrix transpose.    
+  * @param[in]  *pSrc points to the input matrix    
+  * @param[out] *pDst points to the output matrix    
+  * @return 	The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>    
+  * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.    
+ */
+
+arm_status arm_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer  */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer  */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of nRows */
+  uint16_t nColumns = pSrc->numCols;             /* number of nColumns  */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  uint16_t blkCnt, i = 0u, row = nRows;          /* loop counters */
+  arm_status status;                             /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+      /* Apply loop unrolling and exchange the columns with row elements */
+      blkCnt = nColumns >> 2u;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while(blkCnt > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+      /* Perform matrix transpose for last 3 samples here. */
+      blkCnt = nColumns % 0x4u;
+
+      while(blkCnt > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  uint16_t col, i = 0u, row = nRows;             /* loop counters */
+  arm_status status;                             /* status of matrix transpose */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop     */
+    do
+    {
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      /* Initialize column loop counter */
+      col = nColumns;
+
+      while(col > 0u)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        col--;
+      }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+      i++;
+
+      /* Decrement the row loop counter */
+      row--;
+
+    }
+    while(row > 0u);            /* row loop end */
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**    
+ * @} end of MatrixTrans group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
new file mode 100644
index 0000000..6a1ad39
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_max_f32.c
@@ -0,0 +1,186 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_max_f32.c    
+*    
+* Description:	Maximum value of a floating-point vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup Max Maximum    
+ *    
+ * Computes the maximum value of an array of data.     
+ * The function returns both the maximum value and its position within the array.     
+ * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
+ */
+
+/**    
+ * @addtogroup Max    
+ * @{    
+ */
+
+
+/**    
+ * @brief Maximum value of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult maximum value returned here    
+ * @param[out]      *pIndex index of maximum value returned here    
+ * @return none.    
+ */
+
+void arm_max_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t maxVal1, maxVal2, out;               /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 1u;
+    }
+
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 2u;
+    }
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  float32_t maxVal1, out;                        /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  blkCnt = (blockSize - 1u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Max group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
new file mode 100644
index 0000000..9a59726
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_max_q15.c
@@ -0,0 +1,176 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_max_q15.c    
+*    
+* Description:	Maximum value of a Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup Max    
+ * @{    
+ */
+
+
+/**    
+ * @brief Maximum value of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult maximum value returned here    
+ * @param[out]      *pIndex index of maximum value returned here    
+ * @return none.    
+ */
+
+void arm_max_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q15_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 1u;
+    }
+
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 2u;
+    }
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t maxVal1, out;                            /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  blkCnt = (blockSize - 1u);
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal1;
+      outIndex = blockSize - blkCnt;
+    }
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Store the maximum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Max group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
new file mode 100644
index 0000000..8a95cf1
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_max_q31.c
@@ -0,0 +1,177 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_max_q31.c    
+*    
+* Description:	Maximum value of a Q31 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup Max    
+ * @{    
+ */
+
+
+/**    
+ * @brief Maximum value of a Q31 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult maximum value returned here    
+ * @param[out]      *pIndex index of maximum value returned here    
+ * @return none.    
+ */
+
+void arm_max_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t maxVal1, maxVal2, out;                   /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 1u;
+    }
+
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 2u;
+    }
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q31_t maxVal1, out;                            /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  blkCnt = (blockSize - 1u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Store the maximum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Max group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c b/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
new file mode 100644
index 0000000..07150d6
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_max_q7.c
@@ -0,0 +1,177 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_max_q7.c    
+*    
+* Description:	Maximum value of a Q7 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup Max    
+ * @{    
+ */
+
+
+/**    
+ * @brief Maximum value of a Q7 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult maximum value returned here    
+ * @param[out]      *pIndex index of maximum value returned here    
+  * @return none.    
+ */
+
+void arm_max_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t maxVal1, maxVal2, out;                    /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 1u;
+    }
+
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 2u;
+    }
+
+    maxVal2 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the maximum value */
+    if(out < maxVal2)
+    {
+      /* Update the maximum value and its index */
+      out = maxVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q7_t maxVal1, out;                             /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  blkCnt = (blockSize - 1u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal1 = *pSrc++;
+
+    /* compare for the maximum value */
+    if(out < maxVal1)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal1;
+      outIndex = blockSize - blkCnt;
+    }
+    /* Decrement the loop counter */
+    blkCnt--;
+
+  }
+
+  /* Store the maximum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+
+}
+
+/**    
+ * @} end of Max group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
new file mode 100644
index 0000000..3e699d3
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_mean_f32.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_mean_f32.c    
+*    
+* Description:	Mean value of a floating-point vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup mean Mean    
+ *    
+ * Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector.    
+ * The underlying algorithm is used:    
+ *    
+ * <pre>    
+ * 	Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;    
+ * </pre>    
+ *    
+ * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
+ */
+
+/**    
+ * @addtogroup mean    
+ * @{    
+ */
+
+
+/**    
+ * @brief Mean value of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult mean value returned here    
+ * @return none.    
+ */
+
+
+void arm_mean_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    sum += in1;
+    sum += in2;
+    sum += in3;
+    sum += in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store the result to the destination */
+  *pResult = sum / (float32_t) blockSize;
+}
+
+/**    
+ * @} end of mean group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
new file mode 100644
index 0000000..22ea8dc
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q15.c
@@ -0,0 +1,133 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_mean_q15.c    
+*    
+* Description:	Mean value of a Q15 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup mean    
+ * @{    
+ */
+
+/**    
+ * @brief Mean value of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult mean value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.    
+ * The input is represented in 1.15 format and is accumulated in a 32-bit     
+ * accumulator in 17.15 format.     
+ * There is no risk of internal overflow with this approach, and the     
+ * full precision of intermediate result is preserved.     
+ * Finally, the accumulator is saturated and truncated to yield a result of 1.15 format.    
+ *    
+ */
+
+
+void arm_mean_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+  q31_t sum = 0;                                 /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store the result to the destination */
+  *pResult = (q15_t) (sum / (q31_t)blockSize);
+}
+
+/**    
+ * @} end of mean group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
new file mode 100644
index 0000000..9f80d84
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q31.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_mean_q31.c    
+*    
+* Description:	Mean value of a Q31 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup mean    
+ * @{    
+ */
+
+/**    
+ * @brief Mean value of a Q31 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult mean value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *\par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * The input is represented in 1.31 format and is accumulated in a 64-bit    
+ * accumulator in 33.31 format.    
+ * There is no risk of internal overflow with this approach, and the     
+ * full precision of intermediate result is preserved.     
+ * Finally, the accumulator is truncated to yield a result of 1.31 format.    
+ *    
+ */
+
+
+void arm_mean_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+  q63_t sum = 0;                                 /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    sum += in1;
+    sum += in2;
+    sum += in3;
+    sum += in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store the result to the destination */
+  *pResult = (q31_t) (sum / (int32_t) blockSize);
+}
+
+/**    
+ * @} end of mean group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
new file mode 100644
index 0000000..31a3516
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_mean_q7.c
@@ -0,0 +1,133 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_mean_q7.c    
+*    
+* Description:	Mean value of a Q7 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup mean    
+ * @{    
+ */
+
+/**    
+ * @brief Mean value of a Q7 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult mean value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.     
+ * The input is represented in 1.7 format and is accumulated in a 32-bit    
+ * accumulator in 25.7 format.    
+ * There is no risk of internal overflow with this approach, and the     
+ * full precision of intermediate result is preserved.     
+ * Finally, the accumulator is truncated to yield a result of 1.7 format.    
+ *    
+ */
+
+
+void arm_mean_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult)
+{
+  q31_t sum = 0;                                 /* Temporary result storage */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in = *__SIMD32(pSrc)++;
+
+    sum += ((in << 24) >> 24);
+    sum += ((in << 16) >> 24);
+    sum += ((in << 8) >> 24);
+    sum += (in >> 24);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store the result to the destination */
+  *pResult = (q7_t) (sum / (int32_t) blockSize);
+}
+
+/**    
+ * @} end of mean group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
new file mode 100644
index 0000000..7b6504c
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_min_f32.c
@@ -0,0 +1,183 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_min_f32.c    
+*    
+* Description:	Minimum value of a floating-point vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup Min Minimum    
+ *    
+ * Computes the minimum value of an array of data.     
+ * The function returns both the minimum value and its position within the array.     
+ * There are separate functions for floating-point, Q31, Q15, and Q7 data types.    
+ */
+
+/**    
+ * @addtogroup Min    
+ * @{    
+ */
+
+
+/**    
+ * @brief Minimum value of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult minimum value returned here    
+ * @param[out]      *pIndex index of minimum value returned here    
+  * @return none.    
+ *    
+ */
+
+void arm_min_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t minVal1, minVal2, out;               /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 1u;
+    }
+
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 2u;
+    }
+
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u ) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  float32_t minVal1, out;                        /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  blkCnt = (blockSize - 1u);
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+    blkCnt--;
+
+  }
+
+  /* Store the minimum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Min group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
new file mode 100644
index 0000000..88401b7
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_min_q15.c
@@ -0,0 +1,177 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_min_q15.c    
+*    
+* Description:	Minimum value of a Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+
+/**    
+ * @addtogroup Min    
+ * @{    
+ */
+
+
+/**    
+ * @brief Minimum value of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult minimum value returned here    
+ * @param[out]      *pIndex index of minimum value returned here    
+ * @return none.    
+ *    
+ */
+
+void arm_min_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q15_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 1u;
+    }
+
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 2u;
+    }
+
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u ) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t minVal1, out;                            /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  blkCnt = (blockSize - 1u);
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+    blkCnt--;
+
+  }
+
+
+
+  /* Store the minimum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Min group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
new file mode 100644
index 0000000..01746b6
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_min_q31.c
@@ -0,0 +1,176 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_min_q31.c    
+*    
+* Description:	Minimum value of a Q31 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+
+/**    
+ * @addtogroup Min    
+ * @{    
+ */
+
+
+/**    
+ * @brief Minimum value of a Q31 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult minimum value returned here    
+ * @param[out]      *pIndex index of minimum value returned here    
+ * @return none.    
+ *    
+ */
+
+void arm_min_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t minVal1, minVal2, out;                   /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 1u;
+    }
+
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 2u;
+    }
+
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u ) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q31_t minVal1, out;                            /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  blkCnt = (blockSize - 1u);
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+    blkCnt--;
+
+  }
+
+  /* Store the minimum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**    
+ * @} end of Min group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c b/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
new file mode 100644
index 0000000..587afac
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_min_q7.c
@@ -0,0 +1,178 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_min_q7.c    
+*    
+* Description:	Minimum value of a Q7 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup Min    
+ * @{    
+ */
+
+
+/**    
+ * @brief Minimum value of a Q7 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult minimum value returned here    
+ * @param[out]      *pIndex index of minimum value returned here    
+ * @return none.    
+ *    
+ */
+
+void arm_min_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q7_t minVal1, minVal2, out;                    /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  /* Initialise the count value. */
+  count = 0u;
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  /* Loop unrolling */
+  blkCnt = (blockSize - 1u) >> 2u;
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 1u;
+    }
+
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 2u;
+    }
+
+    minVal2 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and its index */
+      out = minVal1;
+      outIndex = count + 3u;
+    }
+
+    /* compare for the minimum value */
+    if(out > minVal2)
+    {
+      /* Update the minimum value and its index */
+      out = minVal2;
+      outIndex = count + 4u;
+    }
+
+    count += 4u;
+
+    blkCnt--;
+  }
+
+  /* if (blockSize - 1u ) is not multiple of 4 */
+  blkCnt = (blockSize - 1u) % 4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q7_t minVal1, out;                             /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex;                     /* loop counter */
+
+  /* Initialise the index value to zero. */
+  outIndex = 0u;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+  blkCnt = (blockSize - 1u);
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+  while(blkCnt > 0)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal1 = *pSrc++;
+
+    /* compare for the minimum value */
+    if(out > minVal1)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal1;
+      outIndex = blockSize - blkCnt;
+    }
+
+    blkCnt--;
+
+  }
+
+  /* Store the minimum value and its index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+
+
+}
+
+/**    
+ * @} end of Min group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
new file mode 100644
index 0000000..564d84e
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_power_f32.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_power_f32.c    
+*    
+* Description:	Sum of the squares of the elements of a floating-point vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup power Power    
+ *    
+ * Calculates the sum of the squares of the elements in the input vector.    
+ * The underlying algorithm is used:    
+ *    
+ * <pre>    
+ * 	Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];    
+ * </pre>    
+ *   
+ * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
+ */
+
+/**    
+ * @addtogroup power    
+ * @{    
+ */
+
+
+/**    
+ * @brief Sum of the squares of the elements of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult sum of the squares value returned here    
+ * @return none.    
+ *    
+ */
+
+
+void arm_power_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* accumulator */
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* compute power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Store the result to the destination */
+  *pResult = sum;
+}
+
+/**    
+ * @} end of power group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
new file mode 100644
index 0000000..02c4109
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_power_q15.c
@@ -0,0 +1,152 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_power_q15.c    
+*    
+* Description:	Sum of the squares of the elements of a Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup power    
+ * @{    
+ */
+
+/**    
+ * @brief Sum of the squares of the elements of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult sum of the squares value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.     
+ * The input is represented in 1.15 format.   
+ * Intermediate multiplication yields a 2.30 format, and this    
+ * result is added without saturation to a 64-bit accumulator in 34.30 format.    
+ * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the return result is in 34.30 format.     
+ *    
+ */
+
+void arm_power_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult)
+{
+  q63_t sum = 0;                                 /* Temporary result storage */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in32;                                    /* Temporary variable to store input value */
+  q15_t in16;                                    /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in32 = *__SIMD32(pSrc)++;
+    sum = __SMLALD(in32, in32, sum);
+    in32 = *__SIMD32(pSrc)++;
+    sum = __SMLALD(in32, in32, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in16 = *pSrc++;
+    sum = __SMLALD(in16, in16, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t in;                                      /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Store the results in 34.30 format  */
+  *pResult = sum;
+}
+
+/**    
+ * @} end of power group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
new file mode 100644
index 0000000..75c6314
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_power_q31.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_power_q31.c    
+*    
+* Description:	Sum of the squares of the elements of a Q31 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup power    
+ * @{    
+ */
+
+/**    
+ * @brief Sum of the squares of the elements of a Q31 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult sum of the squares value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * The input is represented in 1.31 format.    
+ * Intermediate multiplication yields a 2.62 format, and this    
+ * result is truncated to 2.48 format by discarding the lower 14 bits.    
+ * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.    
+ * With 15 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the return result is in 16.48 format.     
+ *    
+ */
+
+void arm_power_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult)
+{
+  q63_t sum = 0;                                 /* Temporary result storage */
+  q31_t in;
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14u;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14u;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14u;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Store the results in 16.48 format  */
+  *pResult = sum;
+}
+
+/**    
+ * @} end of power group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c b/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
new file mode 100644
index 0000000..4f38156
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_power_q7.c
@@ -0,0 +1,141 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_power_q7.c    
+*    
+* Description:	Sum of the squares of the elements of a Q7 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup power    
+ * @{    
+ */
+
+/**    
+ * @brief Sum of the squares of the elements of a Q7 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult sum of the squares value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 32-bit internal accumulator.     
+ * The input is represented in 1.7 format.   
+ * Intermediate multiplication yields a 2.14 format, and this    
+ * result is added without saturation to an accumulator in 18.14 format.    
+ * With 17 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the return result is in 18.14 format.     
+ *    
+ */
+
+void arm_power_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+  q31_t sum = 0;                                 /* Temporary result storage */
+  q7_t in;                                       /* Temporary variable to store input */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t input1;                                  /* Temporary variable to store packed input */
+  q31_t in1, in2;                                /* Temporary variables to store input */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* Reading two inputs of pSrc vector and packing */
+    input1 = *__SIMD32(pSrc)++;
+
+    in1 = __SXTB16(__ROR(input1, 8));
+    in2 = __SXTB16(input1);
+
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* calculate power and accumulate to accumulator */
+    sum = __SMLAD(in1, in1, sum);
+    sum = __SMLAD(in2, in2, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Store the result in 18.14 format  */
+  *pResult = sum;
+}
+
+/**    
+ * @} end of power group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
new file mode 100644
index 0000000..5f93537
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_rms_f32.c
@@ -0,0 +1,141 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_rms_f32.c    
+*    
+* Description:	Root mean square value of an array of F32 type    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup RMS Root mean square (RMS)    
+ *    
+ *     
+ * Calculates the Root Mean Sqaure of the elements in the input vector.    
+ * The underlying algorithm is used:    
+ *    
+ * <pre>    
+ * 	Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));    
+ * </pre>    
+ *   
+ * There are separate functions for floating point, Q31, and Q15 data types.     
+ */
+
+/**    
+ * @addtogroup RMS    
+ * @{    
+ */
+
+
+/**    
+ * @brief Root Mean Square of the elements of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult rms value returned here    
+ * @return none.    
+ *    
+ */
+
+void arm_rms_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* Accumulator */
+  float32_t in;                                  /* Tempoprary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute sum of the squares and then store the result in a temporary variable, sum  */
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute sum of the squares and then store the results in a temporary variable, sum  */
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Rms and store the result in the destination */
+  arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
+}
+
+/**    
+ * @} end of RMS group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
new file mode 100644
index 0000000..3f335a2
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_rms_q15.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_rms_q15.c    
+*    
+* Description:	Root Mean Square of the elements of a Q15 vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @addtogroup RMS    
+ * @{    
+ */
+
+/**    
+ * @brief Root Mean Square of the elements of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult rms value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * The input is represented in 1.15 format.    
+ * Intermediate multiplication yields a 2.30 format, and this    
+ * result is added without saturation to a 64-bit accumulator in 34.30 format.    
+ * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
+ * 15 bits, and then saturated to yield a result in 1.15 format.    
+ *    
+ */
+
+void arm_rms_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+  q63_t sum = 0;                                 /* accumulator */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in;                                      /* temporary variable to store the input value */
+  q15_t in1;                                     /* temporary variable to store the input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /* loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute sum of the squares and then store the results in a temporary variable, sum */
+    in = *__SIMD32(pSrc)++;
+    sum = __SMLALD(in, in, sum);
+    in = *__SIMD32(pSrc)++;
+    sum = __SMLALD(in, in, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute sum of the squares and then store the results in a temporary variable, sum */
+    in1 = *pSrc++;
+    sum = __SMLALD(in1, in1, sum);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Truncating and saturating the accumulator to 1.15 format */
+  /* Store the result in the destination */
+  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t in;                                      /* temporary variable to store the input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute sum of the squares and then store the results in a temporary variable, sum */
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Truncating and saturating the accumulator to 1.15 format */
+  /* Store the result in the destination */
+  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of RMS group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
new file mode 100644
index 0000000..eaca28d
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_rms_q31.c
@@ -0,0 +1,150 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_rms_q31.c    
+*    
+* Description:	Root Mean Square of the elements of a Q31 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @addtogroup RMS        
+ * @{        
+ */
+
+
+/**        
+ * @brief Root Mean Square of the elements of a Q31 vector.        
+ * @param[in]       *pSrc points to the input vector        
+ * @param[in]       blockSize length of the input vector        
+ * @param[out]      *pResult rms value returned here        
+ * @return none.        
+ *        
+ * @details        
+ * <b>Scaling and Overflow Behavior:</b>        
+ *        
+ *\par        
+ * The function is implemented using an internal 64-bit accumulator.        
+ * The input is represented in 1.31 format, and intermediate multiplication        
+ * yields a 2.62 format.        
+ * The accumulator maintains full precision of the intermediate multiplication results,         
+ * but provides only a single guard bit.        
+ * There is no saturation on intermediate additions.        
+ * If the accumulator overflows, it wraps around and distorts the result.         
+ * In order to avoid overflows completely, the input signal must be scaled down by         
+ * log2(blockSize) bits, as a total of blockSize additions are performed internally.         
+ * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.        
+ *        
+ */
+
+void arm_rms_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+  q63_t sum = 0;                                 /* accumulator */
+  q31_t in;                                      /* Temporary variable to store the input */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in1, in2, in3, in4;                      /* Temporary input variables */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 8 outputs at a time.        
+   ** a second loop below computes the remaining 1 to 7 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute sum of the squares and then store the result in a temporary variable, sum */
+    /* read two samples from source buffer */
+    in1 = pSrc[0];
+    in2 = pSrc[1];
+
+    /* calculate power and accumulate to accumulator */
+    sum += (q63_t) in1 *in1;
+    sum += (q63_t) in2 *in2;
+
+    /* read two samples from source buffer */
+    in3 = pSrc[2];
+    in4 = pSrc[3];
+
+    /* calculate power and accumulate to accumulator */
+    sum += (q63_t) in3 *in3;
+    sum += (q63_t) in4 *in4;
+
+
+    /* update source buffer to process next samples */
+    pSrc += 4u;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 8, compute any remaining output samples here.        
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute sum of the squares and then store the results in a temporary variable, sum */
+    in = *pSrc++;
+    sum += (q63_t) in *in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
+  /* Compute Rms and store the result in the destination vector */
+  arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult);
+}
+
+/**        
+ * @} end of RMS group        
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
new file mode 100644
index 0000000..c73c707
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_std_f32.c
@@ -0,0 +1,208 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_std_f32.c    
+*    
+* Description:	Standard deviation of the elements of a floating-point vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup STD Standard deviation    
+ *    
+ * Calculates the standard deviation of the elements in the input vector.     
+ * The underlying algorithm is used:    
+ *   
+ * <pre>    
+ * 	Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1))   
+ *   
+ *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
+ *   
+ *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
+ * </pre>   
+ *    
+ * There are separate functions for floating point, Q31, and Q15 data types.    
+ */
+
+/**    
+ * @addtogroup STD    
+ * @{    
+ */
+
+
+/**    
+ * @brief Standard deviation of the elements of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult standard deviation value returned here    
+ * @return none.    
+ *    
+ */
+
+
+void arm_std_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* Temporary result storage */
+  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
+  float32_t in;                                  /* input value */
+  uint32_t blkCnt;                               /* loop counter */
+   
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t meanOfSquares, mean, squareOfMean;
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
+
+  /* Compute mean of all input values */
+  mean = sum / (float32_t) blockSize;
+
+  /* Compute square of mean */
+  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
+                                  ((float32_t) blockSize - 1.0f));
+
+  /* Compute standard deviation and then store the result to the destination */
+  arm_sqrt_f32((meanOfSquares - squareOfMean), pResult);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  float32_t squareOfSum;                         /* Square of Sum */
+  float32_t var;                                 /* Temporary varaince storage */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++;
+    sumOfSquares += in * in;
+
+    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
+    /* Compute Sum of the input samples     
+     * and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute the square of sum */
+  squareOfSum = ((sum * sum) / (float32_t) blockSize);
+
+  /* Compute the variance */
+  var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
+
+  /* Compute standard deviation and then store the result to the destination */
+  arm_sqrt_f32(var, pResult);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of STD group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
new file mode 100644
index 0000000..24054d3
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_std_q15.c
@@ -0,0 +1,195 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_std_q15.c    
+*    
+* Description:	Standard deviation of an array of Q15 type.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup STD    
+ * @{    
+ */
+
+/**    
+ * @brief Standard deviation of the elements of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult standard deviation value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * The input is represented in 1.15 format.   
+ * Intermediate multiplication yields a 2.30 format, and this    
+ * result is added without saturation to a 64-bit accumulator in 34.30 format.    
+ * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
+ * 15 bits, and then saturated to yield a result in 1.15 format.    
+ */
+
+void arm_std_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+  q31_t sum = 0;                                 /* Accumulator */
+  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
+  uint32_t blkCnt;                               /* loop counter */
+  q63_t sumOfSquares = 0;                        /* Accumulator */
+   
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in;                                      /* input value */
+  q15_t in1;                                     /* input value */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+    sumOfSquares = __SMLALD(in, in, sumOfSquares);
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+    sumOfSquares = __SMLALD(in, in, sumOfSquares);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in1 = *pSrc++;
+    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
+    sum += in1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  /* Compute standard deviation and store the result to the destination */
+  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t in;                                      /* input value */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples     
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t) ((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  /* Compute standard deviation and store the result to the destination */
+  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15, 16u), pResult);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+}
+
+/**    
+ * @} end of STD group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
new file mode 100644
index 0000000..f324273
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_std_q31.c
@@ -0,0 +1,186 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_std_q31.c    
+*    
+* Description:	Standard deviation of an array of Q31 type.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup STD    
+ * @{    
+ */
+
+
+/**    
+ * @brief Standard deviation of the elements of a Q31 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult standard deviation value returned here    
+ * @return none.    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ *\par    
+ * The function is implemented using an internal 64-bit accumulator.        
+ * The input is represented in 1.31 format, which is then downshifted by 8 bits
+ * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
+ * The accumulator maintains full precision of the intermediate multiplication results,         
+ * but provides only a 16 guard bits.        
+ * There is no saturation on intermediate additions.        
+ * If the accumulator overflows it wraps around and distorts the result.        
+ * In order to avoid overflows completely the input signal must be scaled down by         
+ * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
+ * After division, internal variables should be Q18.46 
+ * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. 
+ *    
+ */
+
+
+void arm_std_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+  q63_t sum = 0;                                 /* Accumulator */
+  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
+  q31_t in;                                      /* input value */
+  uint32_t blkCnt;                               /* loop counter */
+  q63_t sumOfSquares = 0;                        /* Accumulator */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+   
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++ >> 8;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples     
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Compute square of mean */
+  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
+
+  /* Compute standard deviation and then store the result to the destination */
+  arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15, pResult);
+
+}
+
+/**    
+ * @} end of STD group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c b/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
new file mode 100644
index 0000000..5f0ea7d
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_var_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_var_f32.c    
+*    
+* Description:	Variance of the elements of a floating-point vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @defgroup variance  Variance    
+ *    
+ * Calculates the variance of the elements in the input vector.    
+ * The underlying algorithm is used:    
+ *    
+ * <pre>    
+ * 	Result = (sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1)   
+ *   
+ *	   where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]   
+ *   
+ *	                   sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
+ * </pre>   
+ *    
+ * There are separate functions for floating point, Q31, and Q15 data types.    
+ */
+
+/**    
+ * @addtogroup variance    
+ * @{    
+ */
+
+
+/**    
+ * @brief Variance of the elements of a floating-point vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult variance value returned here    
+ * @return none.    
+ *    
+ */
+
+
+void arm_var_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+
+  float32_t sum = 0.0f;                          /* Temporary result storage */
+  float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
+  float32_t in;                                  /* input value */
+  uint32_t blkCnt;                               /* loop counter */
+  
+#ifndef ARM_MATH_CM0_FAMILY
+   
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  float32_t meanOfSquares, mean, squareOfMean;   /* Temporary variables */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in;
+    sumOfSquares += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
+
+  /* Compute mean of all input values */
+  mean = sum / (float32_t) blockSize;
+
+  /* Compute square of mean */
+  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
+                                  ((float32_t) blockSize - 1.0f));
+
+  /* Compute variance and then store the result to the destination */
+  *pResult = meanOfSquares - squareOfMean;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  float32_t squareOfSum;                         /* Square of Sum */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++;
+    sumOfSquares += in * in;
+
+    /* C = (A[0] + A[1] + ... + A[blockSize-1]) */
+    /* Compute Sum of the input samples     
+     * and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute the square of sum */
+  squareOfSum = ((sum * sum) / (float32_t) blockSize);
+
+  /* Compute the variance */
+  *pResult = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of variance group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c b/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
new file mode 100644
index 0000000..94fcef9
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_var_q15.c
@@ -0,0 +1,195 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_var_q15.c    
+*    
+* Description:	Variance of an array of Q15 type.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupStats    
+ */
+
+/**    
+ * @addtogroup variance    
+ * @{    
+ */
+
+/**    
+ * @brief Variance of the elements of a Q15 vector.    
+ * @param[in]       *pSrc points to the input vector    
+ * @param[in]       blockSize length of the input vector    
+ * @param[out]      *pResult variance value returned here    
+ * @return none.    
+ *    
+ * @details    
+ * <b>Scaling and Overflow Behavior:</b>    
+ *    
+ * \par    
+ * The function is implemented using a 64-bit internal accumulator.    
+ * The input is represented in 1.15 format.   
+ * Intermediate multiplication yields a 2.30 format, and this    
+ * result is added without saturation to a 64-bit accumulator in 34.30 format.    
+ * With 33 guard bits in the accumulator, there is no risk of overflow, and the    
+ * full precision of the intermediate multiplication is preserved.    
+ * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower     
+ * 15 bits, and then saturated to yield a result in 1.15 format.    
+ *    
+ */
+
+
+void arm_var_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+
+  q31_t sum = 0;                                 /* Accumulator */
+  q31_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
+  uint32_t blkCnt;                               /* loop counter */
+  q63_t sumOfSquares = 0;                        /* Accumulator */
+   
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t in;                                      /* input value */
+  q15_t in1;                                     /* input value */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+    sumOfSquares = __SMLALD(in, in, sumOfSquares);
+    in = *__SIMD32(pSrc)++;
+    sum += ((in << 16) >> 16);
+    sum += (in >> 16);
+    sumOfSquares = __SMLALD(in, in, sumOfSquares);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in1 = *pSrc++;
+    sumOfSquares = __SMLALD(in1, in1, sumOfSquares);
+    sum += in1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t in;                                      /* input value */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples     
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+
+  /* mean of the squares minus the square of the mean. */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of variance group    
+ */
diff --git a/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c b/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
new file mode 100644
index 0000000..6b9e228
--- /dev/null
+++ b/DSP_Lib/Source/StatisticsFunctions/arm_var_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_var_q31.c    
+*    
+* Description:	Variance of an array of Q31 type.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**        
+ * @ingroup groupStats        
+ */
+
+/**        
+ * @addtogroup variance        
+ * @{        
+ */
+
+/**        
+ * @brief Variance of the elements of a Q31 vector.        
+ * @param[in]       *pSrc points to the input vector        
+ * @param[in]       blockSize length of the input vector        
+ * @param[out]      *pResult variance value returned here        
+ * @return none.        
+ *        
+ * @details        
+ * <b>Scaling and Overflow Behavior:</b>        
+ *        
+ *\par        
+ * The function is implemented using an internal 64-bit accumulator.        
+ * The input is represented in 1.31 format, which is then downshifted by 8 bits
+ * which yields 1.23, and intermediate multiplication yields a 2.46 format.        
+ * The accumulator maintains full precision of the intermediate multiplication results,         
+ * but provides only a 16 guard bits.        
+ * There is no saturation on intermediate additions.        
+ * If the accumulator overflows it wraps around and distorts the result.        
+ * In order to avoid overflows completely the input signal must be scaled down by         
+ * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.  
+ * After division, internal variables should be Q18.46 
+ * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.        
+ *        
+ */
+
+
+void arm_var_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+  q63_t sum = 0;                                 /* Accumulator */
+  q63_t meanOfSquares, squareOfMean;             /* square of mean and mean of square */
+  q31_t in;                                      /* input value */
+  uint32_t blkCnt;                               /* loop counter */
+  q63_t sumOfSquares = 0;                        /* Accumulator */
+
+	if(blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+   
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1])  */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples    
+     * and then store the result in a temporary variable, sum. */
+    in = *pSrc++ >> 8;
+    sum += in;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples    
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+    /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */
+    /* Compute Sum of squares of the input samples     
+     * and then store the result in a temporary variable, sumOfSquares. */
+    in = *pSrc++ >> 8;
+    sumOfSquares += ((q63_t) (in) * (in));
+
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    /* Compute sum of all input values and then store the result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares of the input samples     
+   * and then store the result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  /* Compute square of mean */
+  squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1u));
+
+
+  /* Compute standard deviation and then store the result to the destination */
+  *pResult = (meanOfSquares - squareOfMean) >> 15;
+
+}
+
+/**        
+ * @} end of variance group        
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c b/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
new file mode 100644
index 0000000..d6c846b
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_copy_f32.c
@@ -0,0 +1,135 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_copy_f32.c    
+*    
+* Description:	Copies the elements of a floating-point vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup copy Vector Copy    
+ *    
+ * Copies sample by sample from source vector to destination vector.    
+ *    
+ * <pre>    
+ * 	pDst[n] = pSrc[n];   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
+ */
+
+/**    
+ * @addtogroup copy    
+ * @{    
+ */
+
+/**    
+ * @brief Copies the elements of a floating-point vector.     
+ * @param[in]       *pSrc points to input vector    
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the input vector   
+ * @return none.    
+ *    
+ */
+
+
+void arm_copy_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    *pDst++ = in1;
+    *pDst++ = in2;
+    *pDst++ = in3;
+    *pDst++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicCopy group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c b/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
new file mode 100644
index 0000000..5c6a391
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_copy_q15.c
@@ -0,0 +1,114 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_copy_q15.c    
+*    
+* Description:	Copies the elements of a Q15 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup copy    
+ * @{    
+ */
+/**    
+ * @brief Copies the elements of a Q15 vector.     
+ * @param[in]       *pSrc points to input vector    
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the input vector   
+ * @return none.    
+ *    
+ */
+
+void arm_copy_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Read two inputs */
+    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
+    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the value in the destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicCopy group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c b/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
new file mode 100644
index 0000000..0308cb8
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_copy_q31.c
@@ -0,0 +1,123 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_copy_q31.c    
+*    
+* Description:	Copies the elements of a Q31 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup copy    
+ * @{    
+ */
+
+/**    
+ * @brief Copies the elements of a Q31 vector.     
+ * @param[in]       *pSrc points to input vector    
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the input vector   
+ * @return none.    
+ *    
+ */
+
+void arm_copy_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the values in the destination buffer */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    *pDst++ = in1;
+    *pDst++ = in2;
+    *pDst++ = in3;
+    *pDst++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the value in the destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicCopy group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c b/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
new file mode 100644
index 0000000..e273144
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_copy_q7.c
@@ -0,0 +1,115 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_copy_q7.c    
+*    
+* Description:	Copies the elements of a Q7 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup copy    
+ * @{    
+ */
+
+/**    
+ * @brief Copies the elements of a Q7 vector.    
+ * @param[in]       *pSrc points to input vector    
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the input vector   
+ * @return none.    
+ *    
+ */
+
+void arm_copy_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    /* 4 samples are copied and stored at a time using SIMD */
+    *__SIMD32(pDst)++ = *__SIMD32(pSrc)++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of BasicCopy group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c b/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
new file mode 100644
index 0000000..c8ea2dc
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_fill_f32.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fill_f32.c    
+*    
+* Description:	Fills a constant value into a floating-point vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup Fill Vector Fill    
+ *    
+ * Fills the destination vector with a constant value.    
+ *    
+ * <pre>    
+ * 	pDst[n] = value;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ * There are separate functions for floating point, Q31, Q15, and Q7 data types.     
+ */
+
+/**    
+ * @addtogroup Fill    
+ * @{    
+ */
+
+/**    
+ * @brief Fills a constant value into a floating-point vector.     
+ * @param[in]       value input value to be filled   
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the output vector   
+ * @return none.    
+ *    
+ */
+
+
+void arm_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t in1 = value;
+  float32_t in2 = value;
+  float32_t in3 = value;
+  float32_t in4 = value;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = in1;
+    *pDst++ = in2;
+    *pDst++ = in3;
+    *pDst++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = value;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of Fill group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c b/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
new file mode 100644
index 0000000..5b306a9
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_fill_q15.c
@@ -0,0 +1,120 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fill_q15.c    
+*    
+* Description:	Fills a constant value into a Q15 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup Fill    
+ * @{    
+ */
+
+/**    
+ * @brief Fills a constant value into a Q15 vector.    
+ * @param[in]       value input value to be filled   
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the output vector   
+ * @return none.    
+ *    
+ */
+
+void arm_fill_q15(
+  q15_t value,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t packedValue;                             /* value packed to 32 bits */
+
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Packing two 16 bit values to 32 bit value in order to use SIMD */
+  packedValue = __PKHBT(value, value, 16u);
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *__SIMD32(pDst)++ = packedValue;
+    *__SIMD32(pDst)++ = packedValue;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = value;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of Fill group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c b/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
new file mode 100644
index 0000000..84068b2
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_fill_q31.c
@@ -0,0 +1,121 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fill_q31.c    
+*    
+* Description:	Fills a constant value into a Q31 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup Fill    
+ * @{    
+ */
+
+/**    
+ * @brief Fills a constant value into a Q31 vector.    
+ * @param[in]       value input value to be filled   
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the output vector   
+ * @return none.    
+ *    
+ */
+
+void arm_fill_q31(
+  q31_t value,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1 = value;
+  q31_t in2 = value;
+  q31_t in3 = value;
+  q31_t in4 = value;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = in1;
+    *pDst++ = in2;
+    *pDst++ = in3;
+    *pDst++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = value;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of Fill group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c b/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
new file mode 100644
index 0000000..88ced50
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_fill_q7.c
@@ -0,0 +1,118 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_fill_q7.c    
+*    
+* Description:	Fills a constant value into a Q7 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup Fill    
+ * @{    
+ */
+
+/**    
+ * @brief Fills a constant value into a Q7 vector.    
+ * @param[in]       value input value to be filled   
+ * @param[out]      *pDst points to output vector    
+ * @param[in]       blockSize length of the output vector   
+ * @return none.    
+ *    
+ */
+
+void arm_fill_q7(
+  q7_t value,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t packedValue;                             /* value packed to 32 bits */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* Packing four 8 bit values to 32 bit value in order to use SIMD */
+  packedValue = __PACKq7(value, value, value, value);
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *__SIMD32(pDst)++ = packedValue;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = value;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of Fill group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c b/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
new file mode 100644
index 0000000..a2c486f
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_float_to_q15.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_float_to_q15.c    
+*    
+* Description:	Converts the elements of the floating-point vector to Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup float_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the floating-point vector to Q15 vector.    
+ * @param[in]       *pSrc points to the floating-point input vector    
+ * @param[out]      *pDst points to the Q15 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ * \par   
+ * The equation used for the conversion process is:    
+ * <pre>    
+ * 	pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.    
+ * </pre>    
+ * \par Scaling and Overflow Behavior:    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.    
+ * \note   
+ * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
+ * defined in the preprocessor section of project options.     
+ *    
+ */
+
+
+void arm_float_to_q15(
+  float32_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifdef ARM_MATH_ROUNDING
+
+  float32_t in;
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0 ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    /* C = A * 32768 */
+    /* convert from float to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of float_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c b/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
new file mode 100644
index 0000000..d64609e
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_float_to_q31.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_float_to_q31.c    
+*    
+* Description:	Converts the elements of the floating-point vector to Q31 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup float_to_x  Convert 32-bit floating point value    
+ */
+
+/**    
+ * @addtogroup float_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the floating-point vector to Q31 vector.    
+ * @param[in]       *pSrc points to the floating-point input vector    
+ * @param[out]      *pDst points to the Q31 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ *\par Description:    
+ * \par   
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.    
+ * </pre>    
+ * <b>Scaling and Overflow Behavior:</b>    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.    
+ *   
+ * \note In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
+ * defined in the preprocessor section of project options.     
+ */
+
+
+void arm_float_to_q31(
+  float32_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifdef ARM_MATH_ROUNDING
+
+  float32_t in;
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+
+    /* C = A * 32768 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+
+    /* C = A * 2147483648 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+
+    /* C = A * 2147483648 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0 ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of float_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c b/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
new file mode 100644
index 0000000..7ecebdf
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_float_to_q7.c
@@ -0,0 +1,203 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_float_to_q7.c    
+*    
+* Description:	Converts the elements of the floating-point vector to Q7 vector.   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup float_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the floating-point vector to Q7 vector.    
+ * @param[in]       *pSrc points to the floating-point input vector    
+ * @param[out]      *pDst points to the Q7 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ *\par Description:    
+ * \par   
+ * The equation used for the conversion process is:    
+ * <pre>    
+ * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.    
+ * </pre>    
+ * \par Scaling and Overflow Behavior:    
+ * \par    
+ * The function uses saturating arithmetic.    
+ * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.    
+ * \note   
+ * In order to apply rounding, the library should be rebuilt with the ROUNDING macro     
+ * defined in the preprocessor section of project options.     
+ */
+
+
+void arm_float_to_q7(
+  float32_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifdef ARM_MATH_ROUNDING
+
+  float32_t in;
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+#else
+
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+  while(blkCnt > 0u)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+#else
+
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while(blkCnt > 0u)
+  {
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 128.0f);
+    in += in > 0 ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q31_t) (in), 8));
+
+#else
+
+    /* C = A * 128 */
+    /* convert from float to q7 and then store the results in the destination buffer */
+    *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+ * @} end of float_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c b/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
new file mode 100644
index 0000000..bbaf38c
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q15_to_float.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q15_to_float.c    
+*    
+* Description:	Converts the elements of the Q15 vector to floating-point vector.     
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup q15_to_x  Convert 16-bit Integer value    
+ */
+
+/**    
+ * @addtogroup q15_to_x    
+ * @{    
+ */
+
+
+
+
+/**    
+ * @brief  Converts the elements of the Q15 vector to floating-point vector.     
+ * @param[in]       *pSrc points to the Q15 input vector    
+ * @param[out]      *pDst points to the floating-point output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q15_to_float(
+  q15_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 32768 */
+    /* convert from q15 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 32768 */
+    /* convert from q15 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of q15_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c b/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
new file mode 100644
index 0000000..f046427
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q15_to_q31.c
@@ -0,0 +1,156 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q15_to_q31.c    
+*    
+* Description:	Converts the elements of the Q15 vector to Q31 vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q15_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q15 vector to Q31 vector.     
+ * @param[in]       *pSrc points to the Q15 input vector    
+ * @param[out]      *pDst points to the Q31 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:   
+ *   
+ * <pre>    
+ * 	pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q15_to_q31(
+  q15_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2;
+  q31_t out1, out2, out3, out4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q31_t)A << 16 */
+    /* convert from q15 to q31 and then store the results in the destination buffer */
+    in1 = *__SIMD32(pIn)++;
+    in2 = *__SIMD32(pIn)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* extract lower 16 bits to 32 bit result */
+    out1 = in1 << 16u;
+    /* extract upper 16 bits to 32 bit result */
+    out2 = in1 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out3 = in2 << 16u;
+    /* extract upper 16 bits to 32 bit result */
+    out4 = in2 & 0xFFFF0000;
+
+#else
+
+    /* extract upper 16 bits to 32 bit result */
+    out1 = in1 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out2 = in1 << 16u;
+    /* extract upper 16 bits to 32 bit result */
+    out3 = in2 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out4 = in2 << 16u;
+
+#endif //      #ifndef ARM_MATH_BIG_ENDIAN
+
+    *pDst++ = out1;
+    *pDst++ = out2;
+    *pDst++ = out3;
+    *pDst++ = out4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q31_t)A << 16 */
+    /* convert from q15 to q31 and then store the results in the destination buffer */
+    *pDst++ = (q31_t) * pIn++ << 16;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q15_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c b/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
new file mode 100644
index 0000000..9b91c36
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q15_to_q7.c
@@ -0,0 +1,154 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q15_to_q7.c    
+*    
+* Description:	Converts the elements of the Q15 vector to Q7 vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q15_to_x    
+ * @{    
+ */
+
+
+/**    
+ * @brief Converts the elements of the Q15 vector to Q7 vector.     
+ * @param[in]       *pSrc points to the Q15 input vector    
+ * @param[out]      *pDst points to the Q7 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.    
+ * </pre>   
+ *   
+ */
+
+
+void arm_q15_to_q7(
+  q15_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  q15_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2;
+  q31_t out1, out2;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q7_t) A >> 8 */
+    /* convert from q15 to q7 and then store the results in the destination buffer */
+    in1 = *__SIMD32(pIn)++;
+    in2 = *__SIMD32(pIn)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __PKHTB(in2, in1, 16);
+    out2 = __PKHBT(in2, in1, 16);
+
+#else
+
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHBT(in1, in2, 16);
+
+#endif //      #ifndef ARM_MATH_BIG_ENDIAN
+
+    /* rotate packed value by 24 */
+    out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24);
+
+    /* anding with 0xff00ff00 to get two 8 bit values */
+    out1 = out1 & 0xFF00FF00;
+    /* anding with 0x00ff00ff to get two 8 bit values */
+    out2 = out2 & 0x00FF00FF;
+
+    /* oring two values(contains two 8 bit values) to get four packed 8 bit values */
+    out1 = out1 | out2;
+
+    /* store 4 samples at a time to destiantion buffer */
+    *__SIMD32(pDst)++ = out1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q7_t) A >> 8 */
+    /* convert from q15 to q7 and then store the results in the destination buffer */
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q15_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c b/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
new file mode 100644
index 0000000..5949474
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q31_to_float.c
@@ -0,0 +1,131 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q31_to_float.c    
+*    
+* Description:	Converts the elements of the Q31 vector to floating-point vector.      
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup q31_to_x  Convert 32-bit Integer value    
+ */
+
+/**    
+ * @addtogroup q31_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q31 vector to floating-point vector.    
+ * @param[in]       *pSrc points to the Q31 input vector    
+ * @param[out]      *pDst points to the floating-point output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q31_to_float(
+  q31_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 2147483648 */
+    /* convert from q31 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 2147483648 */
+    /* convert from q31 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of q31_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c b/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
new file mode 100644
index 0000000..33222bc
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q31_to_q15.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q31_to_q15.c    
+*    
+* Description:	Converts the elements of the Q31 vector to Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q31_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q31 vector to Q15 vector.    
+ * @param[in]       *pSrc points to the Q31 input vector    
+ * @param[out]      *pDst points to the Q15 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *     
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q31_to_q15(
+  q31_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+  q31_t out1, out2;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q15_t) A >> 16 */
+    /* convert from q31 to q15 and then store the results in the destination buffer */
+    in1 = *pIn++;
+    in2 = *pIn++;
+    in3 = *pIn++;
+    in4 = *pIn++;
+
+    /* pack two higher 16-bit values from two 32-bit values */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __PKHTB(in2, in1, 16);
+    out2 = __PKHTB(in4, in3, 16);
+
+#else
+
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHTB(in3, in4, 16);
+
+#endif //      #ifdef ARM_MATH_BIG_ENDIAN
+
+    *__SIMD32(pDst)++ = out1;
+    *__SIMD32(pDst)++ = out2;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q15_t) A >> 16 */
+    /* convert from q31 to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q31_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c b/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
new file mode 100644
index 0000000..d90898a
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q31_to_q7.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q31_to_q7.c    
+*    
+* Description:	Converts the elements of the Q31 vector to Q7 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q31_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q31 vector to Q7 vector.    
+ * @param[in]       *pSrc points to the Q31 input vector    
+ * @param[out]      *pDst points to the Q7 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.     
+ * </pre>    
+ *   
+ */
+
+
+void arm_q31_to_q7(
+  q31_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t in1, in2, in3, in4;
+  q7_t out1, out2, out3, out4;
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q7_t) A >> 24 */
+    /* convert from q31 to q7 and then store the results in the destination buffer */
+    in1 = *pIn++;
+    in2 = *pIn++;
+    in3 = *pIn++;
+    in4 = *pIn++;
+
+    out1 = (q7_t) (in1 >> 24);
+    out2 = (q7_t) (in2 >> 24);
+    out3 = (q7_t) (in3 >> 24);
+    out4 = (q7_t) (in4 >> 24);
+
+    *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q7_t) A >> 24 */
+    /* convert from q31 to q7 and then store the results in the destination buffer */
+    *pDst++ = (q7_t) (*pIn++ >> 24);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q31_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c b/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
new file mode 100644
index 0000000..f984cf0
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q7_to_float.c
@@ -0,0 +1,131 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q7_to_float.c    
+*    
+* Description:	Converts the elements of the Q7 vector to floating-point vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @defgroup q7_to_x  Convert 8-bit Integer value    
+ */
+
+/**    
+ * @addtogroup q7_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q7 vector to floating-point vector.    
+ * @param[in]       *pSrc points to the Q7 input vector    
+ * @param[out]      *pDst points to the floating-point output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *		     
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q7_to_float(
+  q7_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  q7_t *pIn = pSrc;                              /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 128 */
+    /* convert from q7 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (float32_t) A / 128 */
+    /* convert from q7 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**    
+ * @} end of q7_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c b/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
new file mode 100644
index 0000000..bba084c
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q7_to_q15.c
@@ -0,0 +1,157 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q7_to_q15.c    
+*    
+* Description:	Converts the elements of the Q7 vector to Q15 vector.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q7_to_x    
+ * @{    
+ */
+
+
+
+
+/**    
+ * @brief Converts the elements of the Q7 vector to Q15 vector.    
+ * @param[in]       *pSrc points to the Q7 input vector    
+ * @param[out]      *pDst points to the Q15 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.    
+ * </pre>    
+ *   
+ */
+
+
+void arm_q7_to_q15(
+  q7_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q7_t *pIn = pSrc;                              /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+  q31_t in;
+  q31_t in1, in2;
+  q31_t out1, out2;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q15_t) A << 8 */
+    /* convert from q7 to q15 and then store the results in the destination buffer */
+    in = *__SIMD32(pIn)++;
+
+    /* rotatate in by 8 and extend two q7_t values to q15_t values */
+    in1 = __SXTB16(__ROR(in, 8));
+
+    /* extend remainig two q7_t values to q15_t values */
+    in2 = __SXTB16(in);
+
+    in1 = in1 << 8u;
+    in2 = in2 << 8u;
+
+    in1 = in1 & 0xFF00FF00;
+    in2 = in2 & 0xFF00FF00;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out2 = __PKHTB(in1, in2, 16);
+    out1 = __PKHBT(in2, in1, 16);
+
+#else
+
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHBT(in2, in1, 16);
+
+#endif
+
+    *__SIMD32(pDst)++ = out1;
+    *__SIMD32(pDst)++ = out2;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q15_t) A << 8 */
+    /* convert from q7 to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) * pIn++ << 8;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q7_to_x group    
+ */
diff --git a/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c b/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
new file mode 100644
index 0000000..0519d92
--- /dev/null
+++ b/DSP_Lib/Source/SupportFunctions/arm_q7_to_q31.c
@@ -0,0 +1,142 @@
+/* ----------------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:		arm_q7_to_q31.c    
+*    
+* Description:	Converts the elements of the Q7 vector to Q31 vector.  
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* ---------------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupSupport    
+ */
+
+/**    
+ * @addtogroup q7_to_x    
+ * @{    
+ */
+
+/**    
+ * @brief Converts the elements of the Q7 vector to Q31 vector.    
+ * @param[in]       *pSrc points to the Q7 input vector    
+ * @param[out]      *pDst points to the Q31 output vector   
+ * @param[in]       blockSize length of the input vector    
+ * @return none.    
+ *    
+ * \par Description:    
+ *    
+ * The equation used for the conversion process is:    
+ *   
+ * <pre>    
+ * 	pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.   
+ * </pre>     
+ *   
+ */
+
+
+void arm_q7_to_q31(
+  q7_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q7_t *pIn = pSrc;                              /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  q31_t in;
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /*loop Unrolling */
+  blkCnt = blockSize >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while(blkCnt > 0u)
+  {
+    /* C = (q31_t) A << 24 */
+    /* convert from q7 to q31 and then store the results in the destination buffer */
+    in = *__SIMD32(pIn)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
+    *pDst++ = (in & 0xFF000000);
+
+#else
+
+    *pDst++ = (in & 0xFF000000);
+    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
+
+#endif //              #ifndef ARM_MATH_BIG_ENDIAN
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4u;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+  while(blkCnt > 0u)
+  {
+    /* C = (q31_t) A << 24 */
+    /* convert from q7 to q31 and then store the results in the destination buffer */
+    *pDst++ = (q31_t) * pIn++ << 24;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**    
+ * @} end of q7_to_x group    
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c b/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
new file mode 100644
index 0000000..0404ea8
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c
@@ -0,0 +1,242 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_bitreversal.c    
+*    
+* Description:	This file has common tables like Bitreverse, reciprocal etc which are used across different functions    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/*    
+* @brief  In-place bit reversal function.   
+* @param[in, out] *pSrc        points to the in-place buffer of floating-point data type.   
+* @param[in]      fftSize      length of the FFT.   
+* @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table.   
+* @param[in]      *pBitRevTab  points to the bit reversal table.   
+* @return none.   
+*/
+
+void arm_bitreversal_f32(
+float32_t * pSrc,
+uint16_t fftSize,
+uint16_t bitRevFactor,
+uint16_t * pBitRevTab)
+{
+   uint16_t fftLenBy2, fftLenBy2p1;
+   uint16_t i, j;
+   float32_t in;
+
+   /*  Initializations */
+   j = 0u;
+   fftLenBy2 = fftSize >> 1u;
+   fftLenBy2p1 = (fftSize >> 1u) + 1u;
+
+   /* Bit Reversal Implementation */
+   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
+   {
+      if(i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         in = pSrc[2u * i];
+         pSrc[2u * i] = pSrc[2u * j];
+         pSrc[2u * j] = in;
+
+         /*  pSrc[i+1u] <-> pSrc[j+1u] */
+         in = pSrc[(2u * i) + 1u];
+         pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
+         pSrc[(2u * j) + 1u] = in;
+
+         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
+         in = pSrc[2u * (i + fftLenBy2p1)];
+         pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
+         pSrc[2u * (j + fftLenBy2p1)] = in;
+
+         /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
+         in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
+         pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
+         pSrc[(2u * (j + fftLenBy2p1)) + 1u];
+         pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
+
+      }
+
+      /*  pSrc[i+1u] <-> pSrc[j+1u] */
+      in = pSrc[2u * (i + 1u)];
+      pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
+      pSrc[2u * (j + fftLenBy2)] = in;
+
+      /*  pSrc[i+2u] <-> pSrc[j+2u] */
+      in = pSrc[(2u * (i + 1u)) + 1u];
+      pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
+      pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTab;
+
+      /*  Updating the bit reversal index depending on the fft length  */
+      pBitRevTab += bitRevFactor;
+   }
+}
+
+
+
+/*    
+* @brief  In-place bit reversal function.   
+* @param[in, out] *pSrc        points to the in-place buffer of Q31 data type.   
+* @param[in]      fftLen       length of the FFT.   
+* @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
+* @param[in]      *pBitRevTab  points to bit reversal table.   
+* @return none.   
+*/
+
+void arm_bitreversal_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+uint16_t bitRevFactor,
+uint16_t * pBitRevTable)
+{
+   uint32_t fftLenBy2, fftLenBy2p1, i, j;
+   q31_t in;
+
+   /*  Initializations      */
+   j = 0u;
+   fftLenBy2 = fftLen / 2u;
+   fftLenBy2p1 = (fftLen / 2u) + 1u;
+
+   /* Bit Reversal Implementation */
+   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
+   {
+      if(i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         in = pSrc[2u * i];
+         pSrc[2u * i] = pSrc[2u * j];
+         pSrc[2u * j] = in;
+
+         /*  pSrc[i+1u] <-> pSrc[j+1u] */
+         in = pSrc[(2u * i) + 1u];
+         pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
+         pSrc[(2u * j) + 1u] = in;
+
+         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
+         in = pSrc[2u * (i + fftLenBy2p1)];
+         pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
+         pSrc[2u * (j + fftLenBy2p1)] = in;
+
+         /*  pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
+         in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
+         pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
+         pSrc[(2u * (j + fftLenBy2p1)) + 1u];
+         pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
+
+      }
+
+      /*  pSrc[i+1u] <-> pSrc[j+1u] */
+      in = pSrc[2u * (i + 1u)];
+      pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
+      pSrc[2u * (j + fftLenBy2)] = in;
+
+      /*  pSrc[i+2u] <-> pSrc[j+2u] */
+      in = pSrc[(2u * (i + 1u)) + 1u];
+      pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
+      pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTable;
+
+      /*  Updating the bit reversal index depending on the fft length */
+      pBitRevTable += bitRevFactor;
+   }
+}
+
+
+
+/*    
+   * @brief  In-place bit reversal function.   
+   * @param[in, out] *pSrc        points to the in-place buffer of Q15 data type.   
+   * @param[in]      fftLen       length of the FFT.   
+   * @param[in]      bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table   
+   * @param[in]      *pBitRevTab  points to bit reversal table.   
+   * @return none.   
+*/
+
+void arm_bitreversal_q15(
+q15_t * pSrc16,
+uint32_t fftLen,
+uint16_t bitRevFactor,
+uint16_t * pBitRevTab)
+{
+   q31_t *pSrc = (q31_t *) pSrc16;
+   q31_t in;
+   uint32_t fftLenBy2, fftLenBy2p1;
+   uint32_t i, j;
+
+   /*  Initializations */
+   j = 0u;
+   fftLenBy2 = fftLen / 2u;
+   fftLenBy2p1 = (fftLen / 2u) + 1u;
+
+   /* Bit Reversal Implementation */
+   for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
+   {
+      if(i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         /*  pSrc[i+1u] <-> pSrc[j+1u] */
+         in = pSrc[i];
+         pSrc[i] = pSrc[j];
+         pSrc[j] = in;
+
+         /*  pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1];  */
+         /*  pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */
+         in = pSrc[i + fftLenBy2p1];
+         pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
+         pSrc[j + fftLenBy2p1] = in;
+      }
+
+      /*  pSrc[i+1u] <-> pSrc[j+fftLenBy2];         */
+      /*  pSrc[i+2] <-> pSrc[j+fftLenBy2+1u]  */
+      in = pSrc[i + 1u];
+      pSrc[i + 1u] = pSrc[j + fftLenBy2];
+      pSrc[j + fftLenBy2] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTab;
+
+      /*  Updating the bit reversal index depending on the fft length  */
+      pBitRevTab += bitRevFactor;
+   }
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S b/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S
new file mode 100644
index 0000000..08c5d75
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_bitreversal2.S
@@ -0,0 +1,211 @@
+;/* ----------------------------------------------------------------------
+;* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+;*
+;* $Date:       19. March 2015 
+;* $Revision: 	V.1.4.5
+;*
+;* Project: 	CMSIS DSP Library
+;* Title:	    arm_bitreversal2.S
+;*
+;* Description:	This is the arm_bitreversal_32 function done in
+;*              assembly for maximum speed.  This function is called
+;*              after doing an fft to reorder the output.  The function
+;*              is loop unrolled by 2. arm_bitreversal_16 as well.
+;*
+;* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+;*
+;* Redistribution and use in source and binary forms, with or without
+;* modification, are permitted provided that the following conditions
+;* are met:
+;*   - Redistributions of source code must retain the above copyright
+;*     notice, this list of conditions and the following disclaimer.
+;*   - Redistributions in binary form must reproduce the above copyright
+;*     notice, this list of conditions and the following disclaimer in
+;*     the documentation and/or other materials provided with the
+;*     distribution.
+;*   - Neither the name of ARM LIMITED nor the names of its contributors
+;*     may be used to endorse or promote products derived from this
+;*     software without specific prior written permission.
+;*
+;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+;* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+;* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+;* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+;* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+;* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+;* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+;* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+;* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+;* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+;* POSSIBILITY OF SUCH DAMAGE.
+;* -------------------------------------------------------------------- */
+#if defined(__CC_ARM)       // Keil
+    #define CODESECT AREA     ||.text||, CODE, READONLY, ALIGN=2
+    #define LABEL
+#elif defined(__IASMARM__)  // IAR
+    #define CODESECT SECTION `.text`:CODE
+    #define PROC
+    #define LABEL
+    #define ENDP
+    #define EXPORT PUBLIC
+#elif defined(__CSMC__)		/* Cosmic */
+	#define	CODESECT	switch .text
+	#define THUMB
+	#define EXPORT	xdef
+	#define PROC	:
+	#define LABEL	:
+	#define ENDP
+	#define arm_bitreversal_32 _arm_bitreversal_32
+#elif defined (__GNUC__)    // GCC
+    #define THUMB .thumb
+    #define CODESECT .section .text
+    #define EXPORT .global
+    #define PROC :
+    #define LABEL :
+    #define ENDP
+    #define END
+
+    .syntax unified
+#endif
+
+	CODESECT
+	THUMB
+
+;/*
+;* @brief  In-place bit reversal function.
+;* @param[in, out] *pSrc        points to the in-place buffer of unknown 32-bit data type.
+;* @param[in]      bitRevLen    bit reversal table length
+;* @param[in]      *pBitRevTab  points to bit reversal table.
+;* @return none.
+;*/
+	EXPORT arm_bitreversal_32
+	EXPORT arm_bitreversal_16
+
+#if defined(ARM_MATH_CM0) || defined(ARM_MATH_CM0PLUS)
+
+arm_bitreversal_32 PROC
+	ADDS     r3,r1,#1
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
+arm_bitreversal_32_0 LABEL
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
+	LDR      r4,[r6,#0]
+	STR      r5,[r6,#0]
+	STR      r4,[r2,#0]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r6,#4]
+	STR      r5,[r6,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_32_0
+	POP      {r4-r6}
+	BX       lr
+	ENDP
+
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
+arm_bitreversal_16_0 LABEL
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+    LSRS     r2,r2,#1
+    LSRS     r6,r6,#1
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
+	LDR      r4,[r6,#0]
+	STR      r5,[r6,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r6}
+	BX       lr
+	ENDP
+
+#else
+
+arm_bitreversal_32 PROC
+	ADDS     r3,r1,#1
+	CMP      r3,#1
+	IT       LS
+	BXLS     lr
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
+arm_bitreversal_32_0 LABEL       ;/* loop unrolled by 2 */
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8
+	ADD      r9,r0,r9
+	ADD      r2,r0,r2
+	ADD      r12,r0,r12
+	LDR      r7,[r9,#0]
+	LDR      r6,[r8,#0]
+	LDR      r5,[r2,#0]
+	LDR      r4,[r12,#0]
+	STR      r6,[r9,#0]
+	STR      r7,[r8,#0]
+	STR      r5,[r12,#0]
+	STR      r4,[r2,#0]
+	LDR      r7,[r9,#4]
+	LDR      r6,[r8,#4]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r12,#4]
+	STR      r6,[r9,#4]
+	STR      r7,[r8,#4]
+	STR      r5,[r12,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_32_0
+	POP      {r4-r9}
+	BX       lr
+	ENDP
+
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	CMP      r3,#1
+	IT       LS
+	BXLS     lr
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
+arm_bitreversal_16_0 LABEL       ;/* loop unrolled by 2 */
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8,LSR #1
+	ADD      r9,r0,r9,LSR #1
+	ADD      r2,r0,r2,LSR #1
+	ADD      r12,r0,r12,LSR #1
+	LDR      r7,[r9,#0]
+	LDR      r6,[r8,#0]
+	LDR      r5,[r2,#0]
+	LDR      r4,[r12,#0]
+	STR      r6,[r9,#0]
+	STR      r7,[r8,#0]
+	STR      r5,[r12,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r9}
+	BX       lr
+	ENDP
+
+#endif
+
+	END
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c
new file mode 100644
index 0000000..5fb21b5
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c
@@ -0,0 +1,632 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_f32.c   
+*    
+* Description:	Combined Radix Decimation in Frequency CFFT Floating point processing function
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+extern void arm_radix8_butterfly_f32(
+    float32_t * pSrc,
+    uint16_t fftLen,
+    const float32_t * pCoef,
+    uint16_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+    uint32_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**   
+* @defgroup ComplexFFT Complex FFT Functions   
+*   
+* \par
+* The Fast Fourier Transform (FFT) is an efficient algorithm for computing the
+* Discrete Fourier Transform (DFT).  The FFT can be orders of magnitude faster
+* than the DFT, especially for long lengths.
+* The algorithms described in this section
+* operate on complex data.  A separate set of functions is devoted to handling
+* of real sequences.
+* \par
+* There are separate algorithms for handling floating-point, Q15, and Q31 data
+* types.  The algorithms available for each data type are described next.
+* \par
+* The FFT functions operate in-place.  That is, the array holding the input data
+* will also be used to hold the corresponding result.  The input data is complex
+* and contains <code>2*fftLen</code> interleaved values as shown below.
+* <pre> {real[0], imag[0], real[1], imag[1],..} </pre>
+* The FFT result will be contained in the same array and the frequency domain
+* values will have the same interleaving.
+*
+* \par Floating-point
+* The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-8
+* stages are performed along with a single radix-2 or radix-4 stage, as needed.
+* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+* a different twiddle factor table.  
+* \par
+* The function uses the standard FFT definition and output values may grow by a
+* factor of <code>fftLen</code> when computing the forward transform.  The
+* inverse transform includes a scale of <code>1/fftLen</code> as part of the
+* calculation and this matches the textbook definition of the inverse FFT.
+* \par
+* Pre-initialized data structures containing twiddle factors and bit reversal
+* tables are provided and defined in <code>arm_const_structs.h</code>.  Include 
+* this header in your function and then pass one of the constant structures as 
+* an argument to arm_cfft_f32.  For example:
+* \par
+* <code>arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)</code>
+* \par
+* computes a 64-point inverse complex FFT including bit reversal.
+* The data structures are treated as constant data and not modified during the
+* calculation.  The same data structure can be reused for multiple transforms
+* including mixing forward and inverse transforms.
+* \par
+* Earlier releases of the library provided separate radix-2 and radix-4
+* algorithms that operated on floating-point data.  These functions are still
+* provided but are deprecated.  The older functions are slower and less general
+* than the new functions.
+* \par
+* An example of initialization of the constants for the arm_cfft_f32 function follows:
+* \code
+* const static arm_cfft_instance_f32 *S;
+* ...
+*   switch (length) {
+*     case 16:
+*       S = &arm_cfft_sR_f32_len16;
+*       break;
+*     case 32:
+*       S = &arm_cfft_sR_f32_len32;
+*       break;
+*     case 64:
+*       S = &arm_cfft_sR_f32_len64;
+*       break;
+*     case 128:
+*       S = &arm_cfft_sR_f32_len128;
+*       break;
+*     case 256:
+*       S = &arm_cfft_sR_f32_len256;
+*       break;
+*     case 512:
+*       S = &arm_cfft_sR_f32_len512;
+*       break;
+*     case 1024:
+*       S = &arm_cfft_sR_f32_len1024;
+*       break;
+*     case 2048:
+*       S = &arm_cfft_sR_f32_len2048;
+*       break;
+*     case 4096:
+*       S = &arm_cfft_sR_f32_len4096;
+*       break;
+*   }
+* \endcode
+* \par Q15 and Q31
+* The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-4
+* stages are performed along with a single radix-2 stage, as needed.
+* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+* a different twiddle factor table.  
+* \par
+* The function uses the standard FFT definition and output values may grow by a
+* factor of <code>fftLen</code> when computing the forward transform.  The
+* inverse transform includes a scale of <code>1/fftLen</code> as part of the
+* calculation and this matches the textbook definition of the inverse FFT.
+* \par
+* Pre-initialized data structures containing twiddle factors and bit reversal
+* tables are provided and defined in <code>arm_const_structs.h</code>.  Include 
+* this header in your function and then pass one of the constant structures as 
+* an argument to arm_cfft_q31.  For example:
+* \par
+* <code>arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)</code>
+* \par
+* computes a 64-point inverse complex FFT including bit reversal.
+* The data structures are treated as constant data and not modified during the
+* calculation.  The same data structure can be reused for multiple transforms
+* including mixing forward and inverse transforms.
+* \par
+* Earlier releases of the library provided separate radix-2 and radix-4
+* algorithms that operated on floating-point data.  These functions are still
+* provided but are deprecated.  The older functions are slower and less general
+* than the new functions.
+* \par
+* An example of initialization of the constants for the arm_cfft_q31 function follows:
+* \code
+* const static arm_cfft_instance_q31 *S;
+* ...
+*   switch (length) {
+*     case 16:
+*       S = &arm_cfft_sR_q31_len16;
+*       break;
+*     case 32:
+*       S = &arm_cfft_sR_q31_len32;
+*       break;
+*     case 64:
+*       S = &arm_cfft_sR_q31_len64;
+*       break;
+*     case 128:
+*       S = &arm_cfft_sR_q31_len128;
+*       break;
+*     case 256:
+*       S = &arm_cfft_sR_q31_len256;
+*       break;
+*     case 512:
+*       S = &arm_cfft_sR_q31_len512;
+*       break;
+*     case 1024:
+*       S = &arm_cfft_sR_q31_len1024;
+*       break;
+*     case 2048:
+*       S = &arm_cfft_sR_q31_len2048;
+*       break;
+*     case 4096:
+*       S = &arm_cfft_sR_q31_len4096;
+*       break;
+*   }
+* \endcode
+* 
+*/
+
+void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
+{
+    uint32_t    L  = S->fftLen;
+    float32_t * pCol1, * pCol2, * pMid1, * pMid2;
+    float32_t * p2 = p1 + L;
+    const float32_t * tw = (float32_t *) S->pTwiddle;
+    float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
+    float32_t m0, m1, m2, m3;
+    uint32_t l;
+
+    pCol1 = p1;
+    pCol2 = p2;
+
+    //    Define new length
+    L >>= 1;
+    //    Initialize mid pointers
+    pMid1 = p1 + L;
+    pMid2 = p2 + L;
+
+    // do two dot Fourier transform
+    for ( l = L >> 2; l > 0; l-- ) 
+    {
+        t1[0] = p1[0];
+        t1[1] = p1[1];
+        t1[2] = p1[2];
+        t1[3] = p1[3];
+
+        t2[0] = p2[0];
+        t2[1] = p2[1];
+        t2[2] = p2[2];
+        t2[3] = p2[3];
+
+        t3[0] = pMid1[0];
+        t3[1] = pMid1[1];
+        t3[2] = pMid1[2];
+        t3[3] = pMid1[3];
+
+        t4[0] = pMid2[0];
+        t4[1] = pMid2[1];
+        t4[2] = pMid2[2];
+        t4[3] = pMid2[3];
+
+        *p1++ = t1[0] + t2[0];
+        *p1++ = t1[1] + t2[1];
+        *p1++ = t1[2] + t2[2];
+        *p1++ = t1[3] + t2[3];    // col 1
+
+        t2[0] = t1[0] - t2[0];
+        t2[1] = t1[1] - t2[1];
+        t2[2] = t1[2] - t2[2];
+        t2[3] = t1[3] - t2[3];    // for col 2
+
+        *pMid1++ = t3[0] + t4[0];
+        *pMid1++ = t3[1] + t4[1];
+        *pMid1++ = t3[2] + t4[2];
+        *pMid1++ = t3[3] + t4[3]; // col 1
+
+        t4[0] = t4[0] - t3[0];
+        t4[1] = t4[1] - t3[1];
+        t4[2] = t4[2] - t3[2];
+        t4[3] = t4[3] - t3[3];    // for col 2
+
+        twR = *tw++;
+        twI = *tw++;
+
+        // multiply by twiddle factors
+        m0 = t2[0] * twR;
+        m1 = t2[1] * twI;
+        m2 = t2[1] * twR;
+        m3 = t2[0] * twI;
+        
+        // R  =  R  *  Tr - I * Ti
+        *p2++ = m0 + m1;
+        // I  =  I  *  Tr + R * Ti
+        *p2++ = m2 - m3;
+        
+        // use vertical symmetry
+        //  0.9988 - 0.0491i <==> -0.0491 - 0.9988i
+        m0 = t4[0] * twI;
+        m1 = t4[1] * twR;
+        m2 = t4[1] * twI;
+        m3 = t4[0] * twR;
+        
+        *pMid2++ = m0 - m1;
+        *pMid2++ = m2 + m3;
+
+        twR = *tw++;
+        twI = *tw++;
+        
+        m0 = t2[2] * twR;
+        m1 = t2[3] * twI;
+        m2 = t2[3] * twR;
+        m3 = t2[2] * twI;
+        
+        *p2++ = m0 + m1;
+        *p2++ = m2 - m3;
+        
+        m0 = t4[2] * twI;
+        m1 = t4[3] * twR;
+        m2 = t4[3] * twI;
+        m3 = t4[2] * twR;
+        
+        *pMid2++ = m0 - m1;
+        *pMid2++ = m2 + m3;
+    }
+
+    // first col
+    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u);
+    // second col
+    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u);
+}
+
+void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1) 
+{
+    uint32_t    L  = S->fftLen >> 1;
+    float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
+    const float32_t *tw2, *tw3, *tw4;
+    float32_t * p2 = p1 + L;
+    float32_t * p3 = p2 + L;
+    float32_t * p4 = p3 + L;
+    float32_t t2[4], t3[4], t4[4], twR, twI;
+    float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
+    float32_t m0, m1, m2, m3;
+    uint32_t l, twMod2, twMod3, twMod4;
+
+    pCol1 = p1;         // points to real values by default
+    pCol2 = p2;
+    pCol3 = p3;
+    pCol4 = p4;
+    pEnd1 = p2 - 1;     // points to imaginary values by default
+    pEnd2 = p3 - 1;
+    pEnd3 = p4 - 1;
+    pEnd4 = pEnd3 + L;
+
+    tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
+
+    L >>= 1;
+
+    // do four dot Fourier transform
+
+    twMod2 = 2;
+    twMod3 = 4;
+    twMod4 = 6;
+
+    // TOP
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
+
+    // col 2
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    // col 3
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    // col 4
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    // col 1
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+    // Twiddle factors are ones
+    *p2++ = t2[0];
+    *p2++ = t2[1];
+    *p3++ = t3[0];
+    *p3++ = t3[1];
+    *p4++ = t4[0];
+    *p4++ = t4[1];
+
+    tw2 += twMod2;
+    tw3 += twMod3;
+    tw4 += twMod4;
+
+    for (l = (L - 2) >> 1; l > 0; l-- ) 
+    {
+        // TOP
+        p1ap3_0 = p1[0] + p3[0];
+        p1sp3_0 = p1[0] - p3[0];
+        p1ap3_1 = p1[1] + p3[1];
+        p1sp3_1 = p1[1] - p3[1];
+        // col 2
+        t2[0] = p1sp3_0 + p2[1] - p4[1];
+        t2[1] = p1sp3_1 - p2[0] + p4[0];
+        // col 3
+        t3[0] = p1ap3_0 - p2[0] - p4[0];
+        t3[1] = p1ap3_1 - p2[1] - p4[1];
+        // col 4
+        t4[0] = p1sp3_0 - p2[1] + p4[1];
+        t4[1] = p1sp3_1 + p2[0] - p4[0];
+        // col 1 - top
+        *p1++ = p1ap3_0 + p2[0] + p4[0];
+        *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+        // BOTTOM
+        p1ap3_1 = pEnd1[-1] + pEnd3[-1];
+        p1sp3_1 = pEnd1[-1] - pEnd3[-1];
+        p1ap3_0 = pEnd1[0] + pEnd3[0];
+        p1sp3_0 = pEnd1[0] - pEnd3[0];
+        // col 2
+        t2[2] = pEnd2[0]  - pEnd4[0] + p1sp3_1;
+        t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
+        // col 3
+        t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
+        t3[3] = p1ap3_0 - pEnd2[0]  - pEnd4[0];
+        // col 4
+        t4[2] = pEnd2[0]  - pEnd4[0]  - p1sp3_1;
+        t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
+        // col 1 - Bottom
+        *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0];
+        *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
+
+        // COL 2
+        // read twiddle factors
+        twR = *tw2++;
+        twI = *tw2++;
+        // multiply by twiddle factors
+        //  let    Z1 = a + i(b),   Z2 = c + i(d)
+        //   =>  Z1 * Z2  =  (a*c - b*d) + i(b*c + a*d)
+        
+        // Top
+        m0 = t2[0] * twR;
+        m1 = t2[1] * twI;
+        m2 = t2[1] * twR;
+        m3 = t2[0] * twI;
+        
+        *p2++ = m0 + m1;
+        *p2++ = m2 - m3;
+        // use vertical symmetry col 2
+        // 0.9997 - 0.0245i  <==>  0.0245 - 0.9997i
+        // Bottom
+        m0 = t2[3] * twI;
+        m1 = t2[2] * twR;
+        m2 = t2[2] * twI;
+        m3 = t2[3] * twR;
+        
+        *pEnd2-- = m0 - m1;
+        *pEnd2-- = m2 + m3;
+
+        // COL 3
+        twR = tw3[0];
+        twI = tw3[1];
+        tw3 += twMod3;
+        // Top
+        m0 = t3[0] * twR;
+        m1 = t3[1] * twI;
+        m2 = t3[1] * twR;
+        m3 = t3[0] * twI;
+        
+        *p3++ = m0 + m1;
+        *p3++ = m2 - m3;
+        // use vertical symmetry col 3
+        // 0.9988 - 0.0491i  <==>  -0.9988 - 0.0491i
+        // Bottom
+        m0 = -t3[3] * twR;
+        m1 = t3[2] * twI;
+        m2 = t3[2] * twR;
+        m3 = t3[3] * twI;
+        
+        *pEnd3-- = m0 - m1;
+        *pEnd3-- = m3 - m2;
+        
+        // COL 4
+        twR = tw4[0];
+        twI = tw4[1];
+        tw4 += twMod4;
+        // Top
+        m0 = t4[0] * twR;
+        m1 = t4[1] * twI;
+        m2 = t4[1] * twR;
+        m3 = t4[0] * twI;
+        
+        *p4++ = m0 + m1;
+        *p4++ = m2 - m3;
+        // use vertical symmetry col 4
+        // 0.9973 - 0.0736i  <==>  -0.0736 + 0.9973i
+        // Bottom
+        m0 = t4[3] * twI;
+        m1 = t4[2] * twR;
+        m2 = t4[2] * twI;
+        m3 = t4[3] * twR;
+        
+        *pEnd4-- = m0 - m1;
+        *pEnd4-- = m2 + m3;
+    }
+
+    //MIDDLE
+    // Twiddle factors are 
+    //  1.0000  0.7071-0.7071i  -1.0000i  -0.7071-0.7071i
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
+
+    // col 2
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    // col 3
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    // col 4
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    // col 1 - Top
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+    // COL 2
+    twR = tw2[0];
+    twI = tw2[1];
+
+    m0 = t2[0] * twR;
+    m1 = t2[1] * twI;
+    m2 = t2[1] * twR;
+    m3 = t2[0] * twI;
+
+    *p2++ = m0 + m1;
+    *p2++ = m2 - m3;
+    // COL 3
+    twR = tw3[0];
+    twI = tw3[1];
+
+    m0 = t3[0] * twR;
+    m1 = t3[1] * twI;
+    m2 = t3[1] * twR;
+    m3 = t3[0] * twI;
+
+    *p3++ = m0 + m1;
+    *p3++ = m2 - m3;
+    // COL 4
+    twR = tw4[0];
+    twI = tw4[1];
+
+    m0 = t4[0] * twR;
+    m1 = t4[1] * twI;
+    m2 = t4[1] * twR;
+    m3 = t4[0] * twI;
+
+    *p4++ = m0 + m1;
+    *p4++ = m2 - m3;
+
+    // first col
+    arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u);
+    // second col
+    arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u);
+    // third col
+    arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u);
+    // fourth col
+    arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u);
+}
+
+/**
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief       Processing function for the floating-point complex FFT.
+* @param[in]      *S    points to an instance of the floating-point CFFT structure.  
+* @param[in, out] *p1   points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return none.  
+*/
+
+void arm_cfft_f32( 
+    const arm_cfft_instance_f32 * S, 
+    float32_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+    uint32_t  L = S->fftLen, l;
+    float32_t invL, * pSrc;
+
+    if(ifftFlag == 1u)
+    {
+        /*  Conjugate input data  */
+        pSrc = p1 + 1;
+        for(l=0; l<L; l++) 
+        {
+            *pSrc = -*pSrc;
+            pSrc += 2;
+        }
+    }
+
+    switch (L) 
+    {
+    case 16: 
+    case 128:
+    case 1024:
+        arm_cfft_radix8by2_f32  ( (arm_cfft_instance_f32 *) S, p1);
+        break;
+    case 32:
+    case 256:
+    case 2048:
+        arm_cfft_radix8by4_f32  ( (arm_cfft_instance_f32 *) S, p1);
+        break;
+    case 64:
+    case 512:
+    case 4096:
+        arm_radix8_butterfly_f32( p1, L, (float32_t *) S->pTwiddle, 1);
+        break;
+    }  
+
+    if( bitReverseFlag )
+        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
+
+    if(ifftFlag == 1u)
+    {
+        invL = 1.0f/(float32_t)L;
+        /*  Conjugate and scale output data */
+        pSrc = p1;
+        for(l=0; l<L; l++) 
+        {
+            *pSrc++ *=   invL ;
+            *pSrc  = -(*pSrc) * invL;
+            pSrc++;
+        }
+    }
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_q15.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_q15.c
new file mode 100644
index 0000000..5a313b2
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_q15.c
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_q15.c   
+*    
+* Description:	Combined Radix Decimation in Q15 Frequency CFFT processing function
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_16(
+    uint16_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
+    
+void arm_cfft_radix4by2_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef);
+    
+void arm_cfft_radix4by2_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief       Processing function for the Q15 complex FFT.
+* @param[in]      *S    points to an instance of the Q15 CFFT structure.  
+* @param[in, out] *p1   points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return none.  
+*/
+
+void arm_cfft_q15( 
+    const arm_cfft_instance_q15 * S, 
+    q15_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+    uint32_t L = S->fftLen;
+
+    if(ifftFlag == 1u)
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_inverse_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_inverse_q15  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    else
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_q15  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    
+    if( bitReverseFlag )
+        arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable);    
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
+void arm_cfft_radix4by2_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef) 
+{    
+    uint32_t i;
+    uint32_t n2;
+    q15_t p0, p1, p2, p3;
+#ifndef ARM_MATH_CM0_FAMILY
+    q31_t T, S, R;
+    q31_t coeff, out1, out2;
+    const q15_t *pC = pCoef;
+    q15_t *pSi = pSrc;
+    q15_t *pSl = pSrc + fftLen;
+#else
+    uint32_t ia, l;
+    q15_t xt, yt, cosVal, sinVal;
+#endif
+    
+    n2 = fftLen >> 1; 
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    for (i = n2; i > 0; i--)
+    {
+        coeff = _SIMD32_OFFSET(pC);
+        pC += 2;
+
+        T = _SIMD32_OFFSET(pSi);
+        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+
+        S = _SIMD32_OFFSET(pSl);
+        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
+        pSi += 2;
+
+    #ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+
+    #else
+
+        out1 = __SMUSDX(R, coeff) >> 16u;
+        out2 = __SMUAD(coeff, R);
+
+    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSl) =
+        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSl += 2;
+    } 
+    
+#else //    #ifndef ARM_MATH_CM0_FAMILY
+    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[ia * 2];
+        sinVal = pCoef[(ia * 2) + 1];
+        ia++;
+        
+        l = i + n2;        
+        
+        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+        
+        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+        pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                  ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                       ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+    } 
+    
+#endif //    #ifndef ARM_MATH_CM0_FAMILY
+    
+    // first col
+    arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        p2 = pSrc[4*i+2];
+        p3 = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        p2 <<= 1;
+        p3 <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = p2;
+        pSrc[4*i+3] = p3;
+    }
+}
+
+void arm_cfft_radix4by2_inverse_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    const q15_t * pCoef) 
+{    
+    uint32_t i;
+    uint32_t n2;
+    q15_t p0, p1, p2, p3;
+#ifndef ARM_MATH_CM0_FAMILY
+    q31_t T, S, R;
+    q31_t coeff, out1, out2;
+    const q15_t *pC = pCoef;
+    q15_t *pSi = pSrc;
+    q15_t *pSl = pSrc + fftLen;
+#else
+    uint32_t ia, l;
+    q15_t xt, yt, cosVal, sinVal;
+#endif
+    
+    n2 = fftLen >> 1; 
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    for (i = n2; i > 0; i--)
+    {
+        coeff = _SIMD32_OFFSET(pC);
+        pC += 2;
+
+        T = _SIMD32_OFFSET(pSi);
+        T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+
+        S = _SIMD32_OFFSET(pSl);
+        S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSi) = __SHADD16(T, S);
+        pSi += 2;
+
+    #ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+    #else
+
+        out1 = __SMUADX(R, coeff) >> 16u;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+
+    #endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSl) =
+        (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);        
+        pSl += 2;
+    } 
+    
+#else //    #ifndef ARM_MATH_CM0_FAMILY
+
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[ia * 2];
+        sinVal = pCoef[(ia * 2) + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+        pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+        
+        yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+        pSrc[2 * i + 1] =
+          ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+        
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+        
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+    } 
+    
+#endif //    #ifndef ARM_MATH_CM0_FAMILY
+
+    // first col
+    arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        p2 = pSrc[4*i+2];
+        p3 = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        p2 <<= 1;
+        p3 <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = p2;
+        pSrc[4*i+3] = p3;
+    }
+}
+
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c
new file mode 100644
index 0000000..20ad7e7
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c
@@ -0,0 +1,264 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_q31.c   
+*    
+* Description:	Combined Radix Decimation in Frequency CFFT fixed point processing function
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pCoef,
+    uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+    uint32_t * pSrc,
+    const uint16_t bitRevLen,
+    const uint16_t * pBitRevTable);
+    
+void arm_cfft_radix4by2_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef);
+    
+void arm_cfft_radix4by2_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief       Processing function for the fixed-point complex FFT in Q31 format.
+* @param[in]      *S    points to an instance of the fixed-point CFFT structure.  
+* @param[in, out] *p1   points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return none.  
+*/
+
+void arm_cfft_q31( 
+    const arm_cfft_instance_q31 * S, 
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+    uint32_t L = S->fftLen;
+
+    if(ifftFlag == 1u)
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_inverse_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_inverse_q31  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    else
+    {
+        switch (L) 
+        {
+        case 16: 
+        case 64:
+        case 256:
+        case 1024:
+        case 4096:
+            arm_radix4_butterfly_q31  ( p1, L, (q31_t*)S->pTwiddle, 1 );
+            break;
+            
+        case 32:
+        case 128:
+        case 512:
+        case 2048:
+            arm_cfft_radix4by2_q31  ( p1, L, S->pTwiddle );
+            break;
+        }  
+    }
+    
+    if( bitReverseFlag )
+        arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);    
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
+void arm_cfft_radix4by2_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef) 
+{    
+    uint32_t i, l;
+    uint32_t n2, ia;
+    q31_t xt, yt, cosVal, sinVal;
+    q31_t p0, p1;
+    
+    n2 = fftLen >> 1;    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[2*ia];
+        sinVal = pCoef[2*ia + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
+        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
+        
+        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
+        
+        mult_32x32_keep32_R(p0, xt, cosVal);
+        mult_32x32_keep32_R(p1, yt, cosVal);
+        multAcc_32x32_keep32_R(p0, yt, sinVal); 
+        multSub_32x32_keep32_R(p1, xt, sinVal);
+        
+        pSrc[2u * l] = p0 << 1;
+        pSrc[2u * l + 1u] = p1 << 1;
+    
+    }
+
+    // first col
+    arm_radix4_butterfly_q31( pSrc, n2, (q31_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        xt = pSrc[4*i+2];
+        yt = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        xt <<= 1;
+        yt <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = xt;
+        pSrc[4*i+3] = yt;
+    }
+
+}
+
+void arm_cfft_radix4by2_inverse_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    const q31_t * pCoef) 
+{    
+    uint32_t i, l;
+    uint32_t n2, ia;
+    q31_t xt, yt, cosVal, sinVal;
+    q31_t p0, p1;
+    
+    n2 = fftLen >> 1;    
+    ia = 0;
+    for (i = 0; i < n2; i++)
+    {
+        cosVal = pCoef[2*ia];
+        sinVal = pCoef[2*ia + 1];
+        ia++;
+        
+        l = i + n2;
+        xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
+        pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
+        
+        yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
+        
+        mult_32x32_keep32_R(p0, xt, cosVal);
+        mult_32x32_keep32_R(p1, yt, cosVal);
+        multSub_32x32_keep32_R(p0, yt, sinVal); 
+        multAcc_32x32_keep32_R(p1, xt, sinVal);
+        
+        pSrc[2u * l] = p0 << 1;
+        pSrc[2u * l + 1u] = p1 << 1;
+    
+    }
+
+    // first col
+    arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2u);
+    // second col
+    arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
+			
+    for (i = 0; i < fftLen >> 1; i++)
+    {
+        p0 = pSrc[4*i+0];
+        p1 = pSrc[4*i+1];
+        xt = pSrc[4*i+2];
+        yt = pSrc[4*i+3];
+        
+        p0 <<= 1;
+        p1 <<= 1;
+        xt <<= 1;
+        yt <<= 1;
+        
+        pSrc[4*i+0] = p0;
+        pSrc[4*i+1] = p1;
+        pSrc[4*i+2] = xt;
+        pSrc[4*i+3] = yt;
+    }
+}
+
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
new file mode 100644
index 0000000..8e3b77c
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_f32.c
@@ -0,0 +1,485 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	    arm_cfft_radix2_f32.c   
+*   
+* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function   
+*   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pCoef,
+  uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pCoef,
+  uint16_t twidCoefModifier,
+  float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+    float32_t * pSrc,
+    uint16_t fftSize,
+    uint16_t bitRevFactor,
+    uint16_t * pBitRevTab);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**   
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details
+* @brief Radix-2 CFFT/CIFFT.
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
+* in the future.
+* @param[in]      *S    points to an instance of the floating-point Radix-2 CFFT/CIFFT structure.  
+* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @return none.
+*/
+
+void arm_cfft_radix2_f32(
+const arm_cfft_radix2_instance_f32 * S,
+float32_t * pSrc)
+{
+
+   if(S->ifftFlag == 1u)
+   {
+      /*  Complex IFFT radix-2  */
+      arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier, S->onebyfftLen);
+   }
+   else
+   {
+      /*  Complex FFT radix-2  */
+      arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier);
+   }
+
+   if(S->bitReverseFlag == 1u)
+   {
+      /*  Bit Reversal */
+      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+   }
+
+}
+
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
+
+
+/* ----------------------------------------------------------------------    
+** Internal helper function used by the FFTs    
+** ------------------------------------------------------------------- */
+
+/*    
+* @brief  Core function for the floating-point CFFT butterfly process.   
+* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
+* @param[in]      fftLen           length of the FFT.   
+* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.   
+*/
+
+void arm_radix2_butterfly_f32(
+float32_t * pSrc,
+uint32_t fftLen,
+float32_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+   uint32_t i, j, k, l;
+   uint32_t n1, n2, ia;
+   float32_t xt, yt, cosVal, sinVal;
+   float32_t p0, p1, p2, p3;
+   float32_t a0, a1;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+   /*  Initializations for the first stage */
+   n2 = fftLen >> 1;
+   ia = 0;
+   i = 0;
+
+   // loop for groups 
+   for (k = n2; k > 0; k--)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+
+      /*  Twiddle coefficients index modifier */
+      ia += twidCoefModifier;
+
+      /*  index calculation for the input as, */
+      /*  pSrc[i + 0], pSrc[i + fftLen/1] */
+      l = i + n2;
+
+      /*  Butterfly implementation */
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+      
+      p0 = xt * cosVal;
+      p1 = yt * sinVal;
+      p2 = yt * cosVal;
+      p3 = xt * sinVal;  
+      
+      pSrc[2 * i]     = a0;   
+      pSrc[2 * i + 1] = a1;       
+      
+      pSrc[2 * l]     = p0 + p1;
+      pSrc[2 * l + 1] = p2 - p3;
+      
+      i++;
+   }                             // groups loop end 
+
+   twidCoefModifier <<= 1u;
+
+   // loop for stage 
+   for (k = n2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly 
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+            
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;  
+            
+            pSrc[2 * i] = a0;   
+            pSrc[2 * i + 1] = a1;       
+            
+            pSrc[2 * l]     = p0 + p1;
+            pSrc[2 * l + 1] = p2 - p3;
+            
+            i += n1;
+         } while( i < fftLen );                        // butterfly loop end 
+         j++;
+      } while( j < n2);                          // groups loop end 
+      twidCoefModifier <<= 1u;
+   }                             // stages loop end 
+
+   // loop for butterfly 
+   for (i = 0; i < fftLen; i += 2)
+   {
+      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+      xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+      
+      pSrc[2 * i] = a0;   
+      pSrc[2 * i + 1] = a1;
+      pSrc[2 * i + 2] = xt;
+      pSrc[2 * i + 3] = yt;
+   }                             // groups loop end 
+
+#else
+ 
+   n2 = fftLen;
+
+   // loop for stage 
+   for (k = fftLen; k > 1; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly 
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+            
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;  
+            
+            pSrc[2 * i] = a0;   
+            pSrc[2 * i + 1] = a1;       
+            
+            pSrc[2 * l]     = p0 + p1;
+            pSrc[2 * l + 1] = p2 - p3;
+            
+            i += n1;
+         } while(i < fftLen);
+         j++;
+      } while(j < n2);
+      twidCoefModifier <<= 1u;
+   }
+
+#endif //    #ifndef ARM_MATH_CM0_FAMILY
+
+}
+
+
+void arm_radix2_butterfly_inverse_f32(
+float32_t * pSrc,
+uint32_t fftLen,
+float32_t * pCoef,
+uint16_t twidCoefModifier,
+float32_t onebyfftLen)
+{
+
+   uint32_t i, j, k, l;
+   uint32_t n1, n2, ia;
+   float32_t xt, yt, cosVal, sinVal;
+   float32_t p0, p1, p2, p3;
+   float32_t a0, a1;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+   n2 = fftLen >> 1;
+   ia = 0;
+
+   // loop for groups 
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia += twidCoefModifier;
+
+      l = i + n2;
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+      
+      p0 = xt * cosVal;
+      p1 = yt * sinVal;
+      p2 = yt * cosVal;
+      p3 = xt * sinVal;  
+      
+      pSrc[2 * i] = a0;   
+      pSrc[2 * i + 1] = a1;       
+      
+      pSrc[2 * l]     = p0 - p1;
+      pSrc[2 * l + 1] = p2 + p3;  
+   }                             // groups loop end 
+
+   twidCoefModifier <<= 1u;
+
+   // loop for stage 
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly 
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+            
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;  
+            
+            pSrc[2 * i] = a0;   
+            pSrc[2 * i + 1] = a1;       
+            
+            pSrc[2 * l]     = p0 - p1;
+            pSrc[2 * l + 1] = p2 + p3; 
+
+            i += n1;
+         } while( i < fftLen );                 // butterfly loop end 
+         j++;
+      } while(j < n2);                      // groups loop end 
+
+      twidCoefModifier <<= 1u;
+   }                             // stages loop end 
+
+   // loop for butterfly 
+   for (i = 0; i < fftLen; i += 2)
+   {   
+      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+      xt = pSrc[2 * i] - pSrc[2 * i + 2];
+      
+      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+      
+      p0 = a0 * onebyfftLen;
+      p2 = xt * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p3 = yt * onebyfftLen; 
+      
+      pSrc[2 * i] = p0;
+      pSrc[2 * i + 1] = p1;  
+      pSrc[2 * i + 2] = p2;       
+      pSrc[2 * i + 3] = p3;
+   }                             // butterfly loop end 
+
+#else
+
+   n2 = fftLen;
+
+   // loop for stage 
+   for (k = fftLen; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly 
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+            
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;  
+            
+            pSrc[2 * i] = a0;   
+            pSrc[2 * i + 1] = a1;       
+            
+            pSrc[2 * l]     = p0 - p1;
+            pSrc[2 * l + 1] = p2 + p3;  
+            
+            i += n1;
+         } while( i < fftLen );                    // butterfly loop end 
+         j++;
+      } while( j < n2 );                      // groups loop end 
+
+      twidCoefModifier = twidCoefModifier << 1u;
+   }                             // stages loop end 
+
+   n1 = n2;
+   n2 = n2 >> 1;
+
+   // loop for butterfly 
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+      
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      
+      p0 = a0 * onebyfftLen;
+      p2 = xt * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p3 = yt * onebyfftLen; 
+      
+      pSrc[2 * i] = p0;
+      pSrc[2u * l] = p2;
+     
+      pSrc[2 * i + 1] = p1;    
+      pSrc[2u * l + 1u] = p3;
+   }                             // butterfly loop end 
+
+#endif //      #ifndef ARM_MATH_CM0_FAMILY
+
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
new file mode 100644
index 0000000..55d2a71
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
@@ -0,0 +1,205 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	    arm_cfft_radix4_init_f32.c   
+*   
+* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**   
+ * @ingroup groupTransforms   
+ */
+
+/**   
+ * @addtogroup ComplexFFT   
+ * @{   
+ */
+
+/**   
+* @brief  Initialization function for the floating-point CFFT/CIFFT.  
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
+* in the future.
+* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.  
+* @param[in]     fftLen         length of the FFT.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.  
+*   
+* \par Description:  
+* \par   
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.   
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
+* \par   
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.   
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par   
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
+* \par   
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
+*/
+arm_status arm_cfft_radix2_init_f32(
+  arm_cfft_radix2_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (float32_t *) twiddleCoef;
+
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+
+  case 4096u:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.000244140625;
+    break;
+
+  case 2048u:
+    /*  Initializations of structure parameters for 2048 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.00048828125;
+    break;
+
+  case 1024u:
+    /*  Initializations of structure parameters for 1024 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.0009765625f;
+    break;
+
+  case 512u:
+    /*  Initializations of structure parameters for 512 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 8u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 8u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.001953125;
+    break;
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    S->onebyfftLen = 0.00390625f;
+    break;
+
+  case 128u:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32u;
+    S->bitRevFactor = 32u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+    S->onebyfftLen = 0.0078125;
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    S->onebyfftLen = 0.015625f;
+    break;
+
+  case 32u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 128u;
+    S->bitRevFactor = 128u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+    S->onebyfftLen = 0.03125;
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    S->onebyfftLen = 0.0625f;
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**   
+ * @} end of ComplexFFT group   
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
new file mode 100644
index 0000000..3949140
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
@@ -0,0 +1,189 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5   
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix2_init_q15.c    
+*    
+* Description:	Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+/**   
+* @brief Initialization function for the Q15 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
+* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
+* @param[in]     fftLen         length of the FFT.   
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.  
+*   
+* \par Description:  
+* \par   
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.   
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
+* \par   
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.   
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par   
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
+* \par   
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
+*/
+
+arm_status arm_cfft_radix2_init_q15(
+  arm_cfft_radix2_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+  case 4096u:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+    break;
+
+  case 2048u:
+    /*  Initializations of structure parameters for 2048 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+
+    break;
+
+  case 1024u:
+    /*  Initializations of structure parameters for 1024 point FFT */
+    S->twidCoefModifier = 4u;
+    S->bitRevFactor = 4u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+    break;
+
+  case 512u:
+    /*  Initializations of structure parameters for 512 point FFT */
+    S->twidCoefModifier = 8u;
+    S->bitRevFactor = 8u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+
+    break;
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+    break;
+
+  case 128u:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32u;
+    S->bitRevFactor = 32u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+    break;
+
+  case 32u:
+    /*  Initializations of structure parameters for 32 point FFT */
+    S->twidCoefModifier = 128u;
+    S->bitRevFactor = 128u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
new file mode 100644
index 0000000..3ce6e5d
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
@@ -0,0 +1,187 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5  
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	    arm_cfft_radix2_init_q31.c   
+*   
+* Description:	Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**   
+ * @ingroup groupTransforms   
+ */
+
+/**   
+ * @addtogroup ComplexFFT   
+ * @{   
+ */
+
+
+/**    
+*    
+* @brief  Initialization function for the Q31 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
+* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
+* @param[in]     fftLen         length of the FFT.  
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.  
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.  
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.  
+*   
+* \par Description:  
+* \par   
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.   
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated  
+* \par   
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.   
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par   
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.   
+* \par   
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
+*/
+
+arm_status arm_cfft_radix2_init_q31(
+  arm_cfft_radix2_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of Instance structure depending on the FFT length */
+  switch (S->fftLen)
+  {
+    /*  Initializations of structure parameters for 4096 point FFT */
+  case 4096u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    break;
+
+    /*  Initializations of structure parameters for 2048 point FFT */
+  case 2048u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+    break;
+
+    /*  Initializations of structure parameters for 1024 point FFT */
+  case 1024u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    break;
+
+    /*  Initializations of structure parameters for 512 point FFT */
+  case 512u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 8u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 8u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+    break;
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    break;
+
+  case 128u:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32u;
+    S->bitRevFactor = 32u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    break;
+
+  case 32u:
+    /*  Initializations of structure parameters for 32 point FFT */
+    S->twidCoefModifier = 128u;
+    S->bitRevFactor = 128u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**   
+ * @} end of ComplexFFT group   
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
new file mode 100644
index 0000000..74d821a
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c
@@ -0,0 +1,742 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	    arm_cfft_radix2_q15.c   
+*   
+* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
+*   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  q15_t * pCoef,
+  uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  q15_t * pCoef,
+  uint16_t twidCoefModifier);
+	
+void arm_bitreversal_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  uint16_t bitRevFactor,
+  uint16_t * pBitRevTab);
+
+/**   
+ * @ingroup groupTransforms   
+ */
+
+/**   
+ * @addtogroup ComplexFFT   
+ * @{   
+ */
+
+/**   
+ * @details   
+ * @brief Processing function for the fixed-point CFFT/CIFFT.  
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
+ * @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
+ * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+ * @return none.  
+ */
+
+void arm_cfft_radix2_q15(
+  const arm_cfft_radix2_instance_q15 * S,
+  q15_t * pSrc)
+{
+
+  if(S->ifftFlag == 1u)
+  {
+    arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen,
+                                     S->pTwiddle, S->twidCoefModifier);
+  }
+  else
+  {
+    arm_radix2_butterfly_q15(pSrc, S->fftLen,
+                             S->pTwiddle, S->twidCoefModifier);
+  }
+
+  arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**   
+ * @} end of ComplexFFT group   
+ */
+
+void arm_radix2_butterfly_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  q15_t * pCoef,
+  uint16_t twidCoefModifier)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  unsigned i, j, k, l;
+  unsigned n1, n2, ia;
+  q15_t in;
+  q31_t T, S, R;
+  q31_t coeff, out1, out2;
+
+  //N = fftLen; 
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (i = 0; i < n2; i++)
+  {
+    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+    ia = ia + twidCoefModifier;
+
+    l = i + n2;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __SMUAD(coeff, R) >> 16;
+    out2 = __SMUSDX(coeff, R);
+
+#else
+
+    out1 = __SMUSDX(R, coeff) >> 16u;
+    out2 = __SMUAD(coeff, R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    i++;
+    l++;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __SMUAD(coeff, R) >> 16;
+    out2 = __SMUSDX(coeff, R);
+
+#else
+
+    out1 = __SMUSDX(R, coeff) >> 16u;
+    out2 = __SMUAD(coeff, R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+  // loop for stage 
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    // loop for groups 
+    for (j = 0; j < n2; j++)
+    {
+      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+      ia = ia + twidCoefModifier;
+
+      // loop for butterfly 
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+
+        T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+        S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+
+#else
+
+        out1 = __SMUSDX(R, coeff) >> 16u;
+        out2 = __SMUAD(coeff, R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSrc + (2u * l)) =
+          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+        i += n1;
+
+        l = i + n2;
+
+        T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+        S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+
+#else
+
+        out1 = __SMUSDX(R, coeff) >> 16u;
+        out2 = __SMUAD(coeff, R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSrc + (2u * l)) =
+          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+      }                         // butterfly loop end 
+
+    }                           // groups loop end 
+
+    twidCoefModifier = twidCoefModifier << 1u;
+  }                             // stages loop end 
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+  ia = ia + twidCoefModifier;
+
+  // loop for butterfly 
+  for (i = 0; i < fftLen; i += n1)
+  {
+    l = i + n2;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
+
+    i += n1;
+    l = i + n2;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) = R;
+
+  }                             // groups loop end 
+
+
+#else
+
+  unsigned i, j, k, l;
+  unsigned n1, n2, ia;
+  q15_t xt, yt, cosVal, sinVal;
+
+
+  //N = fftLen; 
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[ia * 2];
+    sinVal = pCoef[(ia * 2) + 1];
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+    }                           // butterfly loop end 
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+  // loop for stage 
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    // loop for groups 
+    for (j = 0; j < n2; j++)
+    {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      // loop for butterfly 
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+        xt = pSrc[2 * i] - pSrc[2 * l];
+        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+
+        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+      }                         // butterfly loop end 
+
+    }                           // groups loop end 
+
+    twidCoefModifier = twidCoefModifier << 1u;
+  }                             // stages loop end 
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[ia * 2];
+    sinVal = pCoef[(ia * 2) + 1];
+
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2u * l] = xt;
+
+      pSrc[2u * l + 1u] = yt;
+
+    }                           // butterfly loop end 
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+#endif //             #ifndef ARM_MATH_CM0_FAMILY
+
+}
+
+
+void arm_radix2_butterfly_inverse_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  q15_t * pCoef,
+  uint16_t twidCoefModifier)
+{
+#ifndef ARM_MATH_CM0_FAMILY
+
+  unsigned i, j, k, l;
+  unsigned n1, n2, ia;
+  q15_t in;
+  q31_t T, S, R;
+  q31_t coeff, out1, out2;
+
+  //N = fftLen; 
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (i = 0; i < n2; i++)
+  {
+    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+    ia = ia + twidCoefModifier;
+
+    l = i + n2;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __SMUSD(coeff, R) >> 16;
+    out2 = __SMUADX(coeff, R);
+#else
+
+    out1 = __SMUADX(R, coeff) >> 16u;
+    out2 = __SMUSD(__QSUB(0, coeff), R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    i++;
+    l++;
+
+    T = _SIMD32_OFFSET(pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = _SIMD32_OFFSET(pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __SMUSD(coeff, R) >> 16;
+    out2 = __SMUADX(coeff, R);
+#else
+
+    out1 = __SMUADX(R, coeff) >> 16u;
+    out2 = __SMUSD(__QSUB(0, coeff), R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+    _SIMD32_OFFSET(pSrc + (2u * l)) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+  // loop for stage 
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    // loop for groups 
+    for (j = 0; j < n2; j++)
+    {
+      coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+      ia = ia + twidCoefModifier;
+
+      // loop for butterfly 
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+
+        T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+        S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+
+#else
+
+        out1 = __SMUADX(R, coeff) >> 16u;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSrc + (2u * l)) =
+          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+        i += n1;
+
+        l = i + n2;
+
+        T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+        S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+#else
+
+        out1 = __SMUADX(R, coeff) >> 16u;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+
+#endif //     #ifndef ARM_MATH_BIG_ENDIAN
+
+        _SIMD32_OFFSET(pSrc + (2u * l)) =
+          (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+
+      }                         // butterfly loop end 
+
+    }                           // groups loop end 
+
+    twidCoefModifier = twidCoefModifier << 1u;
+  }                             // stages loop end 
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (j = 0; j < n2; j++)
+  {
+    coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
+
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+
+      T = _SIMD32_OFFSET(pSrc + (2 * i));
+
+      S = _SIMD32_OFFSET(pSrc + (2 * l));
+
+      R = __QSUB16(T, S);
+
+      _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
+
+      _SIMD32_OFFSET(pSrc + (2u * l)) = R;
+
+    }                           // butterfly loop end 
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+#else
+
+
+  unsigned i, j, k, l;
+  unsigned n1, n2, ia;
+  q15_t xt, yt, cosVal, sinVal;
+
+  //N = fftLen; 
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups 
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[ia * 2];
+    sinVal = pCoef[(ia * 2) + 1];
+    ia = ia + twidCoefModifier;
+
+    // loop for butterfly 
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+      pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                      ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+      pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                           ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+    }                           // butterfly loop end 
+
+  }                             // groups loop end 
+
+  twidCoefModifier = twidCoefModifier << 1u;
+
+  // loop for stage 
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    // loop for groups 
+    for (j = 0; j < n2; j++)
+    {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      // loop for butterfly 
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+        xt = pSrc[2 * i] - pSrc[2 * l];
+        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+
+        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+        pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                        ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+        pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                             ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+      }                         // butterfly loop end 
+
+    }                           // groups loop end 
+
+    twidCoefModifier = twidCoefModifier << 1u;
+  }                             // stages loop end 
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  cosVal = pCoef[ia * 2];
+  sinVal = pCoef[(ia * 2) + 1];
+
+  ia = ia + twidCoefModifier;
+
+  // loop for butterfly 
+  for (i = 0; i < fftLen; i += n1)
+  {
+    l = i + n2;
+    xt = pSrc[2 * i] - pSrc[2 * l];
+    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+    pSrc[2u * l] = xt;
+
+    pSrc[2u * l + 1u] = yt;
+
+  }                             // groups loop end 
+
+
+#endif //             #ifndef ARM_MATH_CM0_FAMILY
+
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
new file mode 100644
index 0000000..6ed9a80
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c
@@ -0,0 +1,351 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.   
+*   
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	    arm_cfft_radix2_q31.c   
+*   
+* Description:	Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function   
+*   
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q31(
+  q31_t * pSrc,
+  uint32_t fftLen,
+  q31_t * pCoef,
+  uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q31(
+  q31_t * pSrc,
+  uint32_t fftLen,
+  q31_t * pCoef,
+  uint16_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+  q31_t * pSrc,
+  uint32_t fftLen,
+  uint16_t bitRevFactor,
+  uint16_t * pBitRevTab);
+
+/**   
+* @ingroup groupTransforms   
+*/
+
+/**   
+* @addtogroup ComplexFFT   
+* @{   
+*/
+
+/**   
+* @details   
+* @brief Processing function for the fixed-point CFFT/CIFFT.  
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
+* @param[in]      *S    points to an instance of the fixed-point CFFT/CIFFT structure.  
+* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.  
+* @return none.  
+*/
+
+void arm_cfft_radix2_q31(
+const arm_cfft_radix2_instance_q31 * S,
+q31_t * pSrc)
+{
+
+   if(S->ifftFlag == 1u)
+   {
+      arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
+      S->pTwiddle, S->twidCoefModifier);
+   }
+   else
+   {
+      arm_radix2_butterfly_q31(pSrc, S->fftLen,
+      S->pTwiddle, S->twidCoefModifier);
+   }
+
+   arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**   
+* @} end of ComplexFFT group   
+*/
+
+void arm_radix2_butterfly_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+   unsigned i, j, k, l, m;
+   unsigned n1, n2, ia;
+   q31_t xt, yt, cosVal, sinVal;
+   q31_t p0, p1;
+
+   //N = fftLen; 
+   n2 = fftLen;
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   // loop for groups 
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+      
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+      mult_32x32_keep32_R(p0, xt, cosVal);
+      mult_32x32_keep32_R(p1, yt, cosVal);
+      multAcc_32x32_keep32_R(p0, yt, sinVal); 
+      multSub_32x32_keep32_R(p1, xt, sinVal);
+      
+      pSrc[2u * l] = p0;
+      pSrc[2u * l + 1u] = p1;
+
+   }                             // groups loop end 
+
+   twidCoefModifier <<= 1u;
+
+   // loop for stage 
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      for (j = 0; j < n2; j++)
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly 
+         i = j;
+         m = fftLen / n1;
+         do
+         {
+            l = i + n2;
+            xt = pSrc[2 * i] - pSrc[2 * l];
+            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+            
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+            mult_32x32_keep32_R(p0, xt, cosVal);
+            mult_32x32_keep32_R(p1, yt, cosVal);
+            multAcc_32x32_keep32_R(p0, yt, sinVal);
+            multSub_32x32_keep32_R(p1, xt, sinVal);
+            
+            pSrc[2u * l] = p0;
+            pSrc[2u * l + 1u] = p1;
+            i += n1;
+            m--;
+         } while( m > 0);                   // butterfly loop end 
+
+      }                           // groups loop end 
+
+      twidCoefModifier <<= 1u;
+   }                             // stages loop end 
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   cosVal = pCoef[ia * 2];
+   sinVal = pCoef[(ia * 2) + 1];
+   ia = ia + twidCoefModifier;
+
+   // loop for butterfly 
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2u * l] = xt;
+
+      pSrc[2u * l + 1u] = yt;
+
+      i += n1;
+      l = i + n2;
+
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2u * l] = xt;
+
+      pSrc[2u * l + 1u] = yt;
+
+   }                             // butterfly loop end 
+
+}
+
+
+void arm_radix2_butterfly_inverse_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+   unsigned i, j, k, l;
+   unsigned n1, n2, ia;
+   q31_t xt, yt, cosVal, sinVal;
+   q31_t p0, p1;
+
+   //N = fftLen; 
+   n2 = fftLen;
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   // loop for groups 
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+      
+      yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+      mult_32x32_keep32_R(p0, xt, cosVal);
+      mult_32x32_keep32_R(p1, yt, cosVal);
+      multSub_32x32_keep32_R(p0, yt, sinVal);
+      multAcc_32x32_keep32_R(p1, xt, sinVal);
+      
+      pSrc[2u * l] = p0;
+      pSrc[2u * l + 1u] = p1;
+   }                             // groups loop end 
+
+   twidCoefModifier = twidCoefModifier << 1u;
+
+   // loop for stage 
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups 
+      for (j = 0; j < n2; j++)
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly 
+         for (i = j; i < fftLen; i += n1)
+         {
+            l = i + n2;
+            xt = pSrc[2 * i] - pSrc[2 * l];
+            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+      
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+            mult_32x32_keep32_R(p0, xt, cosVal);
+            mult_32x32_keep32_R(p1, yt, cosVal);
+            multSub_32x32_keep32_R(p0, yt, sinVal);
+            multAcc_32x32_keep32_R(p1, xt, sinVal);
+            
+            pSrc[2u * l] = p0;
+            pSrc[2u * l + 1u] = p1;
+         }                         // butterfly loop end 
+
+      }                           // groups loop end 
+
+      twidCoefModifier = twidCoefModifier << 1u;
+   }                             // stages loop end 
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   cosVal = pCoef[ia * 2];
+   sinVal = pCoef[(ia * 2) + 1];
+   ia = ia + twidCoefModifier;
+
+   // loop for butterfly 
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2u * l] = xt;
+
+      pSrc[2u * l + 1u] = yt;
+
+      i += n1;
+      l = i + n2;
+
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2u * l] = xt;
+
+      pSrc[2u * l + 1u] = yt;
+
+   }                             // butterfly loop end 
+
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
new file mode 100644
index 0000000..c29927c
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c
@@ -0,0 +1,1210 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_f32.c    
+*    
+* Description:	Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function    
+*    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_bitreversal_f32(
+float32_t * pSrc,
+uint16_t fftSize,
+uint16_t bitRevFactor,
+uint16_t * pBitRevTab);
+
+/**    
+* @ingroup groupTransforms    
+*/
+
+/* ----------------------------------------------------------------------    
+** Internal helper function used by the FFTs    
+** ------------------------------------------------------------------- */
+
+/*    
+* @brief  Core function for the floating-point CFFT butterfly process.   
+* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
+* @param[in]      fftLen           length of the FFT.   
+* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.   
+*/
+
+void arm_radix4_butterfly_f32(
+float32_t * pSrc,
+uint16_t fftLen,
+float32_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+   float32_t co1, co2, co3, si1, si2, si3;
+   uint32_t ia1, ia2, ia3;
+   uint32_t i0, i1, i2, i3;
+   uint32_t n1, n2, j, k;
+
+#ifndef ARM_MATH_CM0_FAMILY_FAMILY
+
+   /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+   float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+   float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+   Ybminusd;
+   float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+   float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+   float32_t *ptr1;
+   float32_t p0,p1,p2,p3,p4,p5;
+   float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /* n2 = fftLen/4 */
+   n2 >>= 2u;
+   i0 = 0u;
+   ia1 = 0u;
+
+   j = n2;
+
+   /*  Calculation of first stage */
+   do
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      xaIn = pSrc[(2u * i0)];
+      yaIn = pSrc[(2u * i0) + 1u];
+
+      xbIn = pSrc[(2u * i1)];
+      ybIn = pSrc[(2u * i1) + 1u];
+
+      xcIn = pSrc[(2u * i2)];
+      ycIn = pSrc[(2u * i2) + 1u];
+
+      xdIn = pSrc[(2u * i3)];
+      ydIn = pSrc[(2u * i3) + 1u];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+      /* xb - xd */
+      Xbminusd = xbIn - xdIn;
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+      /* yb - yd */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[(2u * i0)] = Xaplusc + Xbplusd;
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
+
+      /* (xa - xc) + (yb - yd) */
+      Xb12C_out = (Xaminusc + Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yb12C_out = (Yaminusc - Xbminusd);
+      /* (xa + xc) - (xb + xd) */
+      Xc12C_out = (Xaplusc - Xbplusd);
+      /* (ya + yc) - (yb + yd) */
+      Yc12C_out = (Yaplusc - Ybplusd);
+      /* (xa - xc) - (yb - yd) */
+      Xd12C_out = (Xaminusc - Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yd12C_out = (Xbminusd + Yaminusc);
+
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+
+      /*  index calculation for the coefficients */
+      ia3 = ia2 + ia1;
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+
+      Xb12_out = Xb12C_out * co1;
+      Yb12_out = Yb12C_out * co1;
+      Xc12_out = Xc12C_out * co2;
+      Yc12_out = Yc12C_out * co2;
+      Xd12_out = Xd12C_out * co3;
+      Yd12_out = Yd12C_out * co3;
+         
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      //Xb12_out -= Yb12C_out * si1;
+      p0 = Yb12C_out * si1;
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      //Yb12_out += Xb12C_out * si1;
+      p1 = Xb12C_out * si1;
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      //Xc12_out -= Yc12C_out * si2;
+      p2 = Yc12C_out * si2;
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      //Yc12_out += Xc12C_out * si2;
+      p3 = Xc12C_out * si2;
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      //Xd12_out -= Yd12C_out * si3;
+      p4 = Yd12C_out * si3;
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      //Yd12_out += Xd12C_out * si3;
+      p5 = Xd12C_out * si3;
+      
+      Xb12_out += p0;
+      Yb12_out -= p1;
+      Xc12_out += p2;
+      Yc12_out -= p3;
+      Xd12_out += p4;
+      Yd12_out -= p5;
+
+      /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+      pSrc[2u * i1] = Xc12_out;
+
+      /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+      pSrc[(2u * i1) + 1u] = Yc12_out;
+
+      /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+      pSrc[2u * i2] = Xb12_out;
+
+      /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+      pSrc[(2u * i2) + 1u] = Yb12_out;
+
+      /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+      pSrc[2u * i3] = Xd12_out;
+
+      /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+      pSrc[(2u * i3) + 1u] = Yd12_out;
+
+      /*  Twiddle coefficients index modifier */
+      ia1 += twidCoefModifier;
+
+      /*  Updating input index */
+      i0++;
+
+   }
+   while(--j);
+
+   twidCoefModifier <<= 2u;
+
+   /*  Calculation of second stage to excluding last stage */
+   for (k = fftLen >> 2u; k > 4u; k >>= 2u)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2u;
+      ia1 = 0u;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2u];
+         si1 = pCoef[(ia1 * 2u) + 1u];
+         co2 = pCoef[ia2 * 2u];
+         si2 = pCoef[(ia2 * 2u) + 1u];
+         co3 = pCoef[ia3 * 2u];
+         si3 = pCoef[(ia3 * 2u) + 1u];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 += twidCoefModifier;
+      
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            xaIn = pSrc[(2u * i0)];
+            yaIn = pSrc[(2u * i0) + 1u];
+
+            xbIn = pSrc[(2u * i1)];
+            ybIn = pSrc[(2u * i1) + 1u];
+
+            xcIn = pSrc[(2u * i2)];
+            ycIn = pSrc[(2u * i2) + 1u];
+
+            xdIn = pSrc[(2u * i3)];
+            ydIn = pSrc[(2u * i3) + 1u];
+
+            /* xa - xc */
+            Xaminusc = xaIn - xcIn;
+            /* (xb - xd) */
+            Xbminusd = xbIn - xdIn;
+            /* ya - yc */
+            Yaminusc = yaIn - ycIn;
+            /* (yb - yd) */
+            Ybminusd = ybIn - ydIn;
+
+            /* xa + xc */
+            Xaplusc = xaIn + xcIn;
+            /* xb + xd */
+            Xbplusd = xbIn + xdIn;
+            /* ya + yc */
+            Yaplusc = yaIn + ycIn;
+            /* yb + yd */
+            Ybplusd = ybIn + ydIn;
+
+            /* (xa - xc) + (yb - yd) */
+            Xb12C_out = (Xaminusc + Ybminusd);
+            /* (ya - yc) -  (xb - xd) */
+            Yb12C_out = (Yaminusc - Xbminusd);
+            /* xa + xc -(xb + xd) */
+            Xc12C_out = (Xaplusc - Xbplusd);
+            /* (ya + yc) - (yb + yd) */
+            Yc12C_out = (Yaplusc - Ybplusd);
+            /* (xa - xc) - (yb - yd) */
+            Xd12C_out = (Xaminusc - Ybminusd);
+            /* (ya - yc) +  (xb - xd) */
+            Yd12C_out = (Xbminusd + Yaminusc);
+
+            pSrc[(2u * i0)] = Xaplusc + Xbplusd;
+            pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
+
+            Xb12_out = Xb12C_out * co1;
+            Yb12_out = Yb12C_out * co1;
+            Xc12_out = Xc12C_out * co2;
+            Yc12_out = Yc12C_out * co2;
+            Xd12_out = Xd12C_out * co3;
+            Yd12_out = Yd12C_out * co3;
+         
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            //Xb12_out -= Yb12C_out * si1;
+            p0 = Yb12C_out * si1;
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            //Yb12_out += Xb12C_out * si1;
+            p1 = Xb12C_out * si1;
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            //Xc12_out -= Yc12C_out * si2;
+            p2 = Yc12C_out * si2;
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            //Yc12_out += Xc12C_out * si2;
+            p3 = Xc12C_out * si2;
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            //Xd12_out -= Yd12C_out * si3;
+            p4 = Yd12C_out * si3;
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            //Yd12_out += Xd12C_out * si3;
+            p5 = Xd12C_out * si3;
+            
+            Xb12_out += p0;
+            Yb12_out -= p1;
+            Xc12_out += p2;
+            Yc12_out -= p3;
+            Xd12_out += p4;
+            Yd12_out -= p5;
+
+            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+            pSrc[2u * i1] = Xc12_out;
+
+            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+            pSrc[(2u * i1) + 1u] = Yc12_out;
+
+            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+            pSrc[2u * i2] = Xb12_out;
+
+            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+            pSrc[(2u * i2) + 1u] = Yb12_out;
+
+            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+            pSrc[2u * i3] = Xd12_out;
+
+            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+            pSrc[(2u * i3) + 1u] = Yd12_out;
+
+            i0 += n1;
+         } while(i0 < fftLen);
+         j++;
+      } while(j <= (n2 - 1u));
+      twidCoefModifier <<= 2u;
+   }
+
+   j = fftLen >> 2;
+   ptr1 = &pSrc[0];
+
+   /*  Calculations of last stage */
+   do
+   {
+      xaIn = ptr1[0];
+      yaIn = ptr1[1];
+      xbIn = ptr1[2];
+      ybIn = ptr1[3];
+      xcIn = ptr1[4];
+      ycIn = ptr1[5];
+      xdIn = ptr1[6];
+      ydIn = ptr1[7];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /* (xb-xd) */
+      Xbminusd = xbIn - xdIn;
+
+      /* (yb-yd) */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      a0 = (Xaplusc + Xbplusd);
+      /* ya' = ya + yb + yc + yd */
+      a1 = (Yaplusc + Ybplusd);
+      /* xc' = (xa-xb+xc-xd) */
+      a2 = (Xaplusc - Xbplusd);
+      /* yc' = (ya-yb+yc-yd) */
+      a3 = (Yaplusc - Ybplusd);
+      /* xb' = (xa+yb-xc-yd) */
+      a4 = (Xaminusc + Ybminusd);
+      /* yb' = (ya-xb-yc+xd) */
+      a5 = (Yaminusc - Xbminusd);
+      /* xd' = (xa-yb-xc+yd)) */
+      a6 = (Xaminusc - Ybminusd);
+      /* yd' = (ya+xb-yc-xd) */
+      a7 = (Xbminusd + Yaminusc);
+   
+      ptr1[0] = a0;
+      ptr1[1] = a1;
+      ptr1[2] = a2;
+      ptr1[3] = a3;
+      ptr1[4] = a4;
+      ptr1[5] = a5;
+      ptr1[6] = a6;
+      ptr1[7] = a7;
+
+      /* increment pointer by 8 */
+      ptr1 += 8u;
+   } while(--j);
+
+#else
+
+   float32_t t1, t2, r1, r2, s1, s2;
+
+   /* Run the below code for Cortex-M0 */
+
+   /*  Initializations for the fft calculation */
+   n2 = fftLen;
+   n1 = n2;
+   for (k = fftLen; k > 1u; k >>= 2u)
+   {
+      /*  Initializations for the fft calculation */
+      n1 = n2;
+      n2 >>= 2u;
+      ia1 = 0u;
+
+      /*  FFT Calculation */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2u];
+         si1 = pCoef[(ia1 * 2u) + 1u];
+         co2 = pCoef[ia2 * 2u];
+         si2 = pCoef[(ia2 * 2u) + 1u];
+         co3 = pCoef[ia3 * 2u];
+         si3 = pCoef[(ia3 * 2u) + 1u];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            /* xa + xc */
+            r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
+
+            /* xa - xc */
+            r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
+
+            /* ya + yc */
+            s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
+
+            /* ya - yc */
+            s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
+
+            /* xb + xd */
+            t1 = pSrc[2u * i1] + pSrc[2u * i3];
+
+            /* xa' = xa + xb + xc + xd */
+            pSrc[2u * i0] = r1 + t1;
+
+            /* xa + xc -(xb + xd) */
+            r1 = r1 - t1;
+
+            /* yb + yd */
+            t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
+
+            /* ya' = ya + yb + yc + yd */
+            pSrc[(2u * i0) + 1u] = s1 + t2;
+
+            /* (ya + yc) - (yb + yd) */
+            s1 = s1 - t2;
+
+            /* (yb - yd) */
+            t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
+
+            /* (xb - xd) */
+            t2 = pSrc[2u * i1] - pSrc[2u * i3];
+
+            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+            pSrc[2u * i1] = (r1 * co2) + (s1 * si2);
+
+            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+            pSrc[(2u * i1) + 1u] = (s1 * co2) - (r1 * si2);
+
+            /* (xa - xc) + (yb - yd) */
+            r1 = r2 + t1;
+
+            /* (xa - xc) - (yb - yd) */
+            r2 = r2 - t1;
+
+            /* (ya - yc) -  (xb - xd) */
+            s1 = s2 - t2;
+
+            /* (ya - yc) +  (xb - xd) */
+            s2 = s2 + t2;
+
+            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+            pSrc[2u * i2] = (r1 * co1) + (s1 * si1);
+
+            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+            pSrc[(2u * i2) + 1u] = (s1 * co1) - (r1 * si1);
+
+            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+            pSrc[2u * i3] = (r2 * co3) + (s2 * si3);
+
+            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+            pSrc[(2u * i3) + 1u] = (s2 * co3) - (r2 * si3);
+         
+            i0 += n1;
+         } while( i0 < fftLen);
+         j++;
+      } while(j <= (n2 - 1u));
+      twidCoefModifier <<= 2u;
+   }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
+
+}
+
+/*    
+* @brief  Core function for the floating-point CIFFT butterfly process.   
+* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
+* @param[in]      fftLen           length of the FFT.   
+* @param[in]      *pCoef           points to twiddle coefficient buffer.   
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @param[in]      onebyfftLen      value of 1/fftLen.   
+* @return none.   
+*/
+
+void arm_radix4_butterfly_inverse_f32(
+float32_t * pSrc,
+uint16_t fftLen,
+float32_t * pCoef,
+uint16_t twidCoefModifier,
+float32_t onebyfftLen)
+{
+   float32_t co1, co2, co3, si1, si2, si3;
+   uint32_t ia1, ia2, ia3;
+   uint32_t i0, i1, i2, i3;
+   uint32_t n1, n2, j, k;
+
+#ifndef ARM_MATH_CM0_FAMILY_FAMILY
+
+   float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+   float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+   Ybminusd;
+   float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+   float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+   float32_t *ptr1;
+   float32_t p0,p1,p2,p3,p4,p5,p6,p7;
+   float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /* n2 = fftLen/4 */
+   n2 >>= 2u;
+   i0 = 0u;
+   ia1 = 0u;
+
+   j = n2;
+
+   /*  Calculation of first stage */
+   do
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      /*  Butterfly implementation */
+      xaIn = pSrc[(2u * i0)];
+      yaIn = pSrc[(2u * i0) + 1u];
+
+      xcIn = pSrc[(2u * i2)];
+      ycIn = pSrc[(2u * i2) + 1u];
+
+      xbIn = pSrc[(2u * i1)];
+      ybIn = pSrc[(2u * i1) + 1u];
+
+      xdIn = pSrc[(2u * i3)];
+      ydIn = pSrc[(2u * i3) + 1u];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+      /* xb - xd */
+      Xbminusd = xbIn - xdIn;
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+      /* yb - yd */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[(2u * i0)] = Xaplusc + Xbplusd;
+
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
+
+      /* (xa - xc) - (yb - yd) */
+      Xb12C_out = (Xaminusc - Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yb12C_out = (Yaminusc + Xbminusd);
+      /* (xa + xc) - (xb + xd) */
+      Xc12C_out = (Xaplusc - Xbplusd);
+      /* (ya + yc) - (yb + yd) */
+      Yc12C_out = (Yaplusc - Ybplusd);
+      /* (xa - xc) + (yb - yd) */
+      Xd12C_out = (Xaminusc + Ybminusd);
+      /* (ya - yc) - (xb - xd) */
+      Yd12C_out = (Yaminusc - Xbminusd);
+
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+
+      /*  index calculation for the coefficients */
+      ia3 = ia2 + ia1;
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+
+      Xb12_out = Xb12C_out * co1;
+      Yb12_out = Yb12C_out * co1;
+      Xc12_out = Xc12C_out * co2;
+      Yc12_out = Yc12C_out * co2;
+      Xd12_out = Xd12C_out * co3;
+      Yd12_out = Yd12C_out * co3;
+   
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      //Xb12_out -= Yb12C_out * si1;
+      p0 = Yb12C_out * si1;
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      //Yb12_out += Xb12C_out * si1;
+      p1 = Xb12C_out * si1;
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      //Xc12_out -= Yc12C_out * si2;
+      p2 = Yc12C_out * si2;
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      //Yc12_out += Xc12C_out * si2;
+      p3 = Xc12C_out * si2;
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      //Xd12_out -= Yd12C_out * si3;
+      p4 = Yd12C_out * si3;
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      //Yd12_out += Xd12C_out * si3;
+      p5 = Xd12C_out * si3;
+      
+      Xb12_out -= p0;
+      Yb12_out += p1;
+      Xc12_out -= p2;
+      Yc12_out += p3;
+      Xd12_out -= p4;
+      Yd12_out += p5;
+
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      pSrc[2u * i1] = Xc12_out;
+
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      pSrc[(2u * i1) + 1u] = Yc12_out;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      pSrc[2u * i2] = Xb12_out;
+
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      pSrc[(2u * i2) + 1u] = Yb12_out;
+
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      pSrc[2u * i3] = Xd12_out;
+
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      pSrc[(2u * i3) + 1u] = Yd12_out;
+
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      /*  Updating input index */
+      i0 = i0 + 1u;
+
+   } while(--j);
+
+   twidCoefModifier <<= 2u;
+
+   /*  Calculation of second stage to excluding last stage */
+   for (k = fftLen >> 2u; k > 4u; k >>= 2u)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2u;
+      ia1 = 0u;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2u];
+         si1 = pCoef[(ia1 * 2u) + 1u];
+         co2 = pCoef[ia2 * 2u];
+         si2 = pCoef[(ia2 * 2u) + 1u];
+         co3 = pCoef[ia3 * 2u];
+         si3 = pCoef[(ia3 * 2u) + 1u];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            xaIn = pSrc[(2u * i0)];
+            yaIn = pSrc[(2u * i0) + 1u];
+
+            xbIn = pSrc[(2u * i1)];
+            ybIn = pSrc[(2u * i1) + 1u];
+
+            xcIn = pSrc[(2u * i2)];
+            ycIn = pSrc[(2u * i2) + 1u];
+
+            xdIn = pSrc[(2u * i3)];
+            ydIn = pSrc[(2u * i3) + 1u];
+
+            /* xa - xc */
+            Xaminusc = xaIn - xcIn;
+            /* (xb - xd) */
+            Xbminusd = xbIn - xdIn;
+            /* ya - yc */
+            Yaminusc = yaIn - ycIn;
+            /* (yb - yd) */
+            Ybminusd = ybIn - ydIn;
+
+            /* xa + xc */
+            Xaplusc = xaIn + xcIn;
+            /* xb + xd */
+            Xbplusd = xbIn + xdIn;
+            /* ya + yc */
+            Yaplusc = yaIn + ycIn;
+            /* yb + yd */
+            Ybplusd = ybIn + ydIn;
+
+            /* (xa - xc) - (yb - yd) */
+            Xb12C_out = (Xaminusc - Ybminusd);
+            /* (ya - yc) +  (xb - xd) */
+            Yb12C_out = (Yaminusc + Xbminusd);
+            /* xa + xc -(xb + xd) */
+            Xc12C_out = (Xaplusc - Xbplusd);
+            /* (ya + yc) - (yb + yd) */
+            Yc12C_out = (Yaplusc - Ybplusd);
+            /* (xa - xc) + (yb - yd) */
+            Xd12C_out = (Xaminusc + Ybminusd);
+            /* (ya - yc) -  (xb - xd) */
+            Yd12C_out = (Yaminusc - Xbminusd);
+
+            pSrc[(2u * i0)] = Xaplusc + Xbplusd;
+            pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
+
+            Xb12_out = Xb12C_out * co1;
+            Yb12_out = Yb12C_out * co1;
+            Xc12_out = Xc12C_out * co2;
+            Yc12_out = Yc12C_out * co2;
+            Xd12_out = Xd12C_out * co3;
+            Yd12_out = Yd12C_out * co3;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            //Xb12_out -= Yb12C_out * si1;
+            p0 = Yb12C_out * si1;
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            //Yb12_out += Xb12C_out * si1;
+            p1 = Xb12C_out * si1;
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            //Xc12_out -= Yc12C_out * si2;
+            p2 = Yc12C_out * si2;
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            //Yc12_out += Xc12C_out * si2;
+            p3 = Xc12C_out * si2;
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            //Xd12_out -= Yd12C_out * si3;
+            p4 = Yd12C_out * si3;
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            //Yd12_out += Xd12C_out * si3;
+            p5 = Xd12C_out * si3;
+            
+            Xb12_out -= p0;
+            Yb12_out += p1;
+            Xc12_out -= p2;
+            Yc12_out += p3;
+            Xd12_out -= p4;
+            Yd12_out += p5;
+
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            pSrc[2u * i1] = Xc12_out;
+
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            pSrc[(2u * i1) + 1u] = Yc12_out;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            pSrc[2u * i2] = Xb12_out;
+
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            pSrc[(2u * i2) + 1u] = Yb12_out;
+
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            pSrc[2u * i3] = Xd12_out;
+
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            pSrc[(2u * i3) + 1u] = Yd12_out;
+
+            i0 += n1;
+         } while(i0 < fftLen);
+         j++;
+      } while(j <= (n2 - 1u));
+      twidCoefModifier <<= 2u;
+   }
+   /*  Initializations of last stage */
+
+   j = fftLen >> 2;
+   ptr1 = &pSrc[0];
+
+   /*  Calculations of last stage */
+   do
+   {
+      xaIn = ptr1[0];
+      yaIn = ptr1[1];
+      xbIn = ptr1[2];
+      ybIn = ptr1[3];
+      xcIn = ptr1[4];
+      ycIn = ptr1[5];
+      xdIn = ptr1[6];
+      ydIn = ptr1[7];
+
+      /*  Butterfly implementation */
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /* (xb-xd) */
+      Xbminusd = xbIn - xdIn;
+
+      /* (yb-yd) */
+      Ybminusd = ybIn - ydIn;
+      
+      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+      a0 = (Xaplusc + Xbplusd);
+      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+      a1 = (Yaplusc + Ybplusd);
+      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+      a2 = (Xaplusc - Xbplusd);
+      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
+      a3 = (Yaplusc - Ybplusd);
+      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+      a4 = (Xaminusc - Ybminusd);
+      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+      a5 = (Yaminusc + Xbminusd);
+      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+      a6 = (Xaminusc + Ybminusd);
+      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+      a7 = (Yaminusc - Xbminusd);
+   
+      p0 = a0 * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p2 = a2 * onebyfftLen;
+      p3 = a3 * onebyfftLen;
+      p4 = a4 * onebyfftLen;
+      p5 = a5 * onebyfftLen;
+      p6 = a6 * onebyfftLen;
+      p7 = a7 * onebyfftLen;
+   
+      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+      ptr1[0] = p0;
+      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+      ptr1[1] = p1;
+      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+      ptr1[2] = p2;
+      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
+      ptr1[3] = p3;
+      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+      ptr1[4] = p4;
+      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+      ptr1[5] = p5;
+      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+      ptr1[6] = p6;
+      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+      ptr1[7] = p7;
+
+      /* increment source pointer by 8 for next calculations */
+      ptr1 = ptr1 + 8u;
+
+   } while(--j);
+
+#else
+
+   float32_t t1, t2, r1, r2, s1, s2;
+
+   /* Run the below code for Cortex-M0 */
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /*  Calculation of first stage */
+   for (k = fftLen; k > 4u; k >>= 2u)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2u;
+      ia1 = 0u;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2u];
+         si1 = pCoef[(ia1 * 2u) + 1u];
+         co2 = pCoef[ia2 * 2u];
+         si2 = pCoef[(ia2 * 2u) + 1u];
+         co3 = pCoef[ia3 * 2u];
+         si3 = pCoef[(ia3 * 2u) + 1u];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            /* xa + xc */
+            r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
+
+            /* xa - xc */
+            r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
+
+            /* ya + yc */
+            s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
+
+            /* ya - yc */
+            s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
+
+            /* xb + xd */
+            t1 = pSrc[2u * i1] + pSrc[2u * i3];
+
+            /* xa' = xa + xb + xc + xd */
+            pSrc[2u * i0] = r1 + t1;
+
+            /* xa + xc -(xb + xd) */
+            r1 = r1 - t1;
+
+            /* yb + yd */
+            t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
+
+            /* ya' = ya + yb + yc + yd */
+            pSrc[(2u * i0) + 1u] = s1 + t2;
+
+            /* (ya + yc) - (yb + yd) */
+            s1 = s1 - t2;
+
+            /* (yb - yd) */
+            t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
+
+            /* (xb - xd) */
+            t2 = pSrc[2u * i1] - pSrc[2u * i3];
+
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            pSrc[2u * i1] = (r1 * co2) - (s1 * si2);
+
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            pSrc[(2u * i1) + 1u] = (s1 * co2) + (r1 * si2);
+
+            /* (xa - xc) - (yb - yd) */
+            r1 = r2 - t1;
+
+            /* (xa - xc) + (yb - yd) */
+            r2 = r2 + t1;
+
+            /* (ya - yc) +  (xb - xd) */
+            s1 = s2 + t2;
+
+            /* (ya - yc) -  (xb - xd) */
+            s2 = s2 - t2;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            pSrc[2u * i2] = (r1 * co1) - (s1 * si1);
+
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            pSrc[(2u * i2) + 1u] = (s1 * co1) + (r1 * si1);
+
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            pSrc[2u * i3] = (r2 * co3) - (s2 * si3);
+
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            pSrc[(2u * i3) + 1u] = (s2 * co3) + (r2 * si3);
+         
+            i0 += n1;
+         } while( i0 < fftLen);
+         j++;
+      } while(j <= (n2 - 1u));
+      twidCoefModifier <<= 2u;
+   }
+   /*  Initializations of last stage */
+   n1 = n2;
+   n2 >>= 2u;
+
+   /*  Calculations of last stage */
+   for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      /*  Butterfly implementation */
+      /* xa + xc */
+      r1 = pSrc[2u * i0] + pSrc[2u * i2];
+
+      /* xa - xc */
+      r2 = pSrc[2u * i0] - pSrc[2u * i2];
+
+      /* ya + yc */
+      s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
+
+      /* ya - yc */
+      s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
+
+      /* xc + xd */
+      t1 = pSrc[2u * i1] + pSrc[2u * i3];
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[2u * i0] = (r1 + t1) * onebyfftLen;
+
+      /* (xa + xb) - (xc + xd) */
+      r1 = r1 - t1;
+
+      /* yb + yd */
+      t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
+
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2u * i0) + 1u] = (s1 + t2) * onebyfftLen;
+
+      /* (ya + yc) - (yb + yd) */
+      s1 = s1 - t2;
+
+      /* (yb-yd) */
+      t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
+
+      /* (xb-xd) */
+      t2 = pSrc[2u * i1] - pSrc[2u * i3];
+
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      pSrc[2u * i1] = r1 * onebyfftLen;
+
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      pSrc[(2u * i1) + 1u] = s1 * onebyfftLen;
+
+      /* (xa - xc) - (yb-yd) */
+      r1 = r2 - t1;
+
+      /* (xa - xc) + (yb-yd) */
+      r2 = r2 + t1;
+
+      /* (ya - yc) + (xb-xd) */
+      s1 = s2 + t2;
+
+      /* (ya - yc) - (xb-xd) */
+      s2 = s2 - t2;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      pSrc[2u * i2] = r1 * onebyfftLen;
+
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      pSrc[(2u * i2) + 1u] = s1 * onebyfftLen;
+
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      pSrc[2u * i3] = r2 * onebyfftLen;
+
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      pSrc[(2u * i3) + 1u] = s2 * onebyfftLen;
+   }
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
+}
+
+/**    
+* @addtogroup ComplexFFT    
+* @{    
+*/
+
+/**    
+* @details    
+* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_f32 and will be removed
+* in the future.
+* @param[in]      *S    points to an instance of the floating-point Radix-4 CFFT/CIFFT structure.   
+* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.   
+* @return none.   
+*/
+
+void arm_cfft_radix4_f32(
+const arm_cfft_radix4_instance_f32 * S,
+float32_t * pSrc)
+{
+
+   if(S->ifftFlag == 1u)
+   {
+      /*  Complex IFFT radix-4  */
+      arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier, S->onebyfftLen);
+   }
+   else
+   {
+      /*  Complex FFT radix-4  */
+      arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier);
+   }
+
+   if(S->bitReverseFlag == 1u)
+   {
+      /*  Bit Reversal */
+      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+   }
+
+}
+
+/**    
+* @} end of ComplexFFT group    
+*/
+
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
new file mode 100644
index 0000000..1e1ad7c
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
@@ -0,0 +1,165 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_init_f32.c    
+*    
+* Description:	Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+/**    
+* @brief  Initialization function for the floating-point CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superceded by \ref arm_cfft_f32 and will be removed
+* in the future.
+* @param[in,out] *S             points to an instance of the floating-point CFFT/CIFFT structure.   
+* @param[in]     fftLen         length of the FFT.   
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.   
+*    
+* \par Description:   
+* \par    
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
+* \par    
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
+* \par    
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
+*/
+
+arm_status arm_cfft_radix4_init_f32(
+  arm_cfft_radix4_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (float32_t *) twiddleCoef;
+
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+
+  case 4096u:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.000244140625;
+    break;
+
+  case 1024u:
+    /*  Initializations of structure parameters for 1024 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.0009765625f;
+    break;
+
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    S->onebyfftLen = 0.00390625f;
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    S->onebyfftLen = 0.015625f;
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    S->onebyfftLen = 0.0625f;
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
new file mode 100644
index 0000000..7f29d67
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
@@ -0,0 +1,152 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_init_q15.c    
+*    
+* Description:	Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+
+/**    
+* @brief Initialization function for the Q15 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
+* @param[in,out] *S             points to an instance of the Q15 CFFT/CIFFT structure.   
+* @param[in]     fftLen         length of the FFT.   
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.   
+*    
+* \par Description:   
+* \par    
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
+* \par    
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
+* \par    
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
+*/
+
+arm_status arm_cfft_radix4_init_q15(
+  arm_cfft_radix4_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+  case 4096u:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+    break;
+
+  case 1024u:
+    /*  Initializations of structure parameters for 1024 point FFT */
+    S->twidCoefModifier = 4u;
+    S->bitRevFactor = 4u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+    break;
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
new file mode 100644
index 0000000..a375a5f
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5   
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_init_q31.c    
+*    
+* Description:	Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+/**    
+*    
+* @brief  Initialization function for the Q31 CFFT/CIFFT.   
+* @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
+* @param[in,out] *S             points to an instance of the Q31 CFFT/CIFFT structure.   
+* @param[in]     fftLen         length of the FFT.   
+* @param[in]     ifftFlag       flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.   
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.   
+*    
+* \par Description:   
+* \par    
+* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated   
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.    
+* \par    
+* The parameter <code>fftLen</code>	Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.    
+* \par    
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.    
+*/
+
+arm_status arm_cfft_radix4_init_q31(
+  arm_cfft_radix4_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of Instance structure depending on the FFT length */
+  switch (S->fftLen)
+  {
+    /*  Initializations of structure parameters for 4096 point FFT */
+  case 4096u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    break;
+
+    /*  Initializations of structure parameters for 1024 point FFT */
+  case 1024u:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4u;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4u;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    break;
+
+  case 256u:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16u;
+    S->bitRevFactor = 16u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    break;
+
+  case 64u:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64u;
+    S->bitRevFactor = 64u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    break;
+
+  case 16u:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256u;
+    S->bitRevFactor = 256u;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
new file mode 100644
index 0000000..761e43e
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c
@@ -0,0 +1,1924 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_q15.c    
+*    
+* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
+*				In-place bit reversal using bit reversal table    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+
+void arm_radix4_butterfly_q15(
+  q15_t * pSrc16,
+  uint32_t fftLen,
+  q15_t * pCoef16,
+  uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_inverse_q15(
+  q15_t * pSrc16,
+  uint32_t fftLen,
+  q15_t * pCoef16,
+  uint32_t twidCoefModifier);
+
+void arm_bitreversal_q15(
+  q15_t * pSrc,
+  uint32_t fftLen,
+  uint16_t bitRevFactor,
+  uint16_t * pBitRevTab);
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+
+/**    
+ * @details    
+ * @brief Processing function for the Q15 CFFT/CIFFT.   
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed
+ * @param[in]      *S    points to an instance of the Q15 CFFT/CIFFT structure.   
+ * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.   
+ * @return none.   
+ *     
+ * \par Input and output formats:    
+ * \par    
+ * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
+ * Hence the output format is different for different FFT sizes.    
+ * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
+ * \par   
+ * \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"    
+ * \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"    
+ */
+
+void arm_cfft_radix4_q15(
+  const arm_cfft_radix4_instance_q15 * S,
+  q15_t * pSrc)
+{
+  if(S->ifftFlag == 1u)
+  {
+    /*  Complex IFFT radix-4  */
+    arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle,
+                                     S->twidCoefModifier);
+  }
+  else
+  {
+    /*  Complex FFT radix-4  */
+    arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle,
+                             S->twidCoefModifier);
+  }
+
+  if(S->bitReverseFlag == 1u)
+  {
+    /*  Bit Reversal */
+    arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+  }
+
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
+
+/*    
+* Radix-4 FFT algorithm used is :    
+*    
+* Input real and imaginary data:    
+* x(n) = xa + j * ya    
+* x(n+N/4 ) = xb + j * yb    
+* x(n+N/2 ) = xc + j * yc    
+* x(n+3N 4) = xd + j * yd    
+*    
+*    
+* Output real and imaginary data:    
+* x(4r) = xa'+ j * ya'    
+* x(4r+1) = xb'+ j * yb'    
+* x(4r+2) = xc'+ j * yc'    
+* x(4r+3) = xd'+ j * yd'    
+*    
+*    
+* Twiddle factors for radix-4 FFT:    
+* Wn = co1 + j * (- si1)    
+* W2n = co2 + j * (- si2)    
+* W3n = co3 + j * (- si3)    
+    
+* The real and imaginary output values for the radix-4 butterfly are    
+* xa' = xa + xb + xc + xd    
+* ya' = ya + yb + yc + yd    
+* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
+* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
+* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
+* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
+* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
+* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
+*    
+*/
+
+/**    
+ * @brief  Core function for the Q15 CFFT butterfly process.   
+ * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
+ * @param[in]      fftLen           length of the FFT.   
+ * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
+ * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+ * @return none.   
+ */
+
+void arm_radix4_butterfly_q15(
+  q15_t * pSrc16,
+  uint32_t fftLen,
+  q15_t * pCoef16,
+  uint32_t twidCoefModifier)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t R, S, T, U;
+  q31_t C1, C2, C3, out1, out2;
+  uint32_t n1, n2, ic, i0, j, k;
+
+  q15_t *ptr1;
+  q15_t *pSi0;
+  q15_t *pSi1;
+  q15_t *pSi2;
+  q15_t *pSi3;
+
+  q31_t xaya, xbyb, xcyc, xdyd;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  /* Index for twiddle coefficient */
+  ic = 0u;
+
+  /* Index for input read and output write */
+  j = n2;
+  
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T = _SIMD32_OFFSET(pSi0);
+    T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
+    T = __SHADD16(T, 0); // it turns out doing this twice is 2 cycles, the alternative takes 3 cycles
+    //in = ((int16_t) (T & 0xFFFF)) >> 2;       // alternative code that takes 3 cycles
+    //T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+
+    /* Read yc (real), xc(imag) input */
+    S = _SIMD32_OFFSET(pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
+
+    /* R = packed((ya + yc), (xa + xc) ) */
+    R = __QADD16(T, S);
+
+    /* S = packed((ya - yc), (xa - xc) ) */
+    S = __QSUB16(T, S);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yd (real), xd(imag) input */
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed((yb + yd), (xb + xd) ) */
+    T = __QADD16(T, U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
+    pSi0 += 2;
+
+    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+    R = __QSUB16(R, T);
+
+    /* co2 & si2 are read from SIMD Coefficient pointer */
+    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = __SMUAD(C2, R) >> 16u;
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = __SMUSDX(C2, R);
+
+#else
+
+    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out1 = __SMUSDX(R, C2) >> 16u;
+    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out2 = __SMUAD(C2, R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /*  Reading i0+fftLen/4 */
+    /* T = packed(yb, xb) */
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    _SIMD32_OFFSET(pSi1) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi1 += 2;
+
+    /*  Butterfly calculations */
+    /* U = packed(yd, xd) */
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed(yb-yd, xb-xd) */
+    T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QASX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QSAX(S, T);
+
+#else
+
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QSAX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QASX(S, T);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* co1 & si1 are read from SIMD Coefficient pointer */
+    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
+    /*  Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = __SMUAD(C1, S) >> 16u;
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = __SMUSDX(C1, S);
+
+#else
+
+    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out1 = __SMUSDX(S, C1) >> 16u;
+    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out2 = __SMUAD(C1, S);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* writing output(xb', yb') in little endian format */
+    _SIMD32_OFFSET(pSi2) =
+      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
+    pSi2 += 2;
+
+
+    /* co3 & si3 are read from SIMD Coefficient pointer */
+    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = __SMUAD(C3, R) >> 16u;
+    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = __SMUSDX(C3, R);
+
+#else
+
+    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out1 = __SMUSDX(R, C3) >> 16u;
+    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out2 = __SMUAD(C3, R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* writing output(xd', yd') in little endian format */
+    _SIMD32_OFFSET(pSi3) =
+      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi3 += 2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+  } while(--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ic = 0u;
+
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
+      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
+      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+      
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T = _SIMD32_OFFSET(pSi0);
+
+        /* Read yc (real), xc(imag) input */
+        S = _SIMD32_OFFSET(pSi2);
+
+        /* R = packed( (ya + yc), (xa + xc)) */
+        R = __QADD16(T, S);
+
+        /* S = packed((ya - yc), (xa - xc)) */
+        S = __QSUB16(T, S);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T = _SIMD32_OFFSET(pSi1);
+
+        /* Read yd (real), xd(imag) input */
+        U = _SIMD32_OFFSET(pSi3);
+
+        /* T = packed( (yb + yd), (xb + xd)) */
+        T = __QADD16(T, U);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = __SHADD16(R, T);
+        out1 = __SHADD16(out1, 0);
+        _SIMD32_OFFSET(pSi0) = out1;
+        pSi0 += 2 * n1;
+
+        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+        R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = __SMUAD(C2, R) >> 16u;
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = __SMUSDX(C2, R);
+
+#else
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out1 = __SMUSDX(R, C2) >> 16u;
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out2 = __SMUAD(C2, R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T = _SIMD32_OFFSET(pSi1);
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        _SIMD32_OFFSET(pSi1) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi1 += 2 * n1;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U = _SIMD32_OFFSET(pSi3);
+
+        /* T = packed(yb-yd, xb-xd) */
+        T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHASX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHSAX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUAD(C1, S) >> 16u;
+        out2 = __SMUSDX(C1, S);
+
+#else
+
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHSAX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHASX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUSDX(S, C1) >> 16u;
+        out2 = __SMUAD(C1, S);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        _SIMD32_OFFSET(pSi2) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi2 += 2 * n1;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUAD(C3, R) >> 16u;
+        out2 = __SMUSDX(C3, R);
+
+#else
+
+        out1 = __SMUSDX(R, C3) >> 16u;
+        out2 = __SMUAD(C3, R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+        _SIMD32_OFFSET(pSi3) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi3 += 2 * n1;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2u;
+  }
+  /* end of middle stage process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+
+  ptr1 = &pSrc16[0];
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD32(ptr1)++;
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD32(ptr1)++;
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD32(ptr1)++;
+
+    /* Read xd (real), yd(imag) input */
+    xdyd = *__SIMD32(ptr1)++;
+
+    /* R = packed((ya + yc), (xa + xc)) */
+    R = __QADD16(xaya, xcyc);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8u;
+
+
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    *__SIMD32(ptr1)++ = __SHADD16(R, T);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
+
+    /* S = packed((ya - yc), (xa - xc)) */
+    S = __QSUB16(xaya, xcyc);
+
+    /* Read yd (real), xd(imag) input */
+    /* T = packed( (yb - yd), (xb - xd))  */
+    U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    *__SIMD32(ptr1)++ = __SHSAX(S, U);
+
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    *__SIMD32(ptr1)++ = __SHASX(S, U);
+
+#else
+
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    *__SIMD32(ptr1)++ = __SHASX(S, U);
+
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    *__SIMD32(ptr1)++ = __SHSAX(S, U);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+  } while(--j);
+
+  /* end of last stage process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  /* Index for twiddle coefficient */
+  ic = 0u;
+
+  /* Index for input read and output write */
+  i0 = 0u;
+  j = n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2u] >> 2u;
+    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2u] >> 2u;
+    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
+
+    /* R0 = (ya + yc) */
+    R0 = __SSAT(T0 + S0, 16u);
+    /* R1 = (xa + xc) */
+    R1 = __SSAT(T1 + S1, 16u);
+
+    /* S0 = (ya - yc) */
+    S0 = __SSAT(T0 - S0, 16);
+    /* S1 = (xa - xc) */
+    S1 = __SSAT(T1 - S1, 16);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u] >> 2u;
+    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2u] >> 2u;
+    U1 = pSrc16[(i3 * 2u) + 1] >> 2u;
+
+    /* T0 = (yb + yd) */
+    T0 = __SSAT(T0 + U0, 16u);
+    /* T1 = (xb + xd) */
+    T1 = __SSAT(T1 + U1, 16u);
+
+    /*  writing the butterfly processed i0 sample */
+    /* ya' = ya + yb + yc + yd */
+    /* xa' = xa + xb + xc + xd */
+    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
+    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
+
+    /* R0 = (ya + yc) - (yb + yd) */
+    /* R1 = (xa + xc) - (xb + xd) */
+    R0 = __SSAT(R0 - T0, 16u);
+    R1 = __SSAT(R1 - T1, 16u);
+
+    /* co2 & si2 are read from Coefficient pointer */
+    Co2 = pCoef16[2u * ic * 2u];
+    Si2 = pCoef16[(2u * ic * 2u) + 1];
+
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
+
+    /*  Reading i0+fftLen/4 */
+    /* input is down scale by 4 to avoid overflow */
+    /* T0 = yb, T1 =  xb */
+    T0 = pSrc16[i1 * 2u] >> 2;
+    T1 = pSrc16[(i1 * 2u) + 1] >> 2;
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    pSrc16[i1 * 2u] = out1;
+    pSrc16[(i1 * 2u) + 1] = out2;
+
+    /*  Butterfly calculations */
+    /* input is down scale by 4 to avoid overflow */
+    /* U0 = yd, U1 = xd */
+    U0 = pSrc16[i3 * 2u] >> 2;
+    U1 = pSrc16[(i3 * 2u) + 1] >> 2;
+    /* T0 = yb-yd */
+    T0 = __SSAT(T0 - U0, 16);
+    /* T1 = xb-xd */
+    T1 = __SSAT(T1 - U1, 16);
+
+    /* R1 = (ya-yc) + (xb- xd),  R0 = (xa-xc) - (yb-yd)) */
+    R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+    /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
+    S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16u);
+    S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16u);
+
+    /* co1 & si1 are read from Coefficient pointer */
+    Co1 = pCoef16[ic * 2u];
+    Si1 = pCoef16[(ic * 2u) + 1];
+    /*  Butterfly process for the i0+fftLen/2 sample */
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
+
+    /* writing output(xb', yb') in little endian format */
+    pSrc16[i2 * 2u] = out1;
+    pSrc16[(i2 * 2u) + 1] = out2;
+
+    /* Co3 & si3 are read from Coefficient pointer */
+    Co3 = pCoef16[3u * (ic * 2u)];
+    Si3 = pCoef16[(3u * (ic * 2u)) + 1];
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+    /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
+    /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
+    /* writing output(xd', yd') in little endian format */
+    pSrc16[i3 * 2u] = out1;
+    pSrc16[(i3 * 2u) + 1] = out2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1u;
+
+  } while(--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ic = 0u;
+
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      Co1 = pCoef16[ic * 2u];
+      Si1 = pCoef16[(ic * 2u) + 1u];
+      Co2 = pCoef16[2u * (ic * 2u)];
+      Si2 = pCoef16[(2u * (ic * 2u)) + 1u];
+      Co3 = pCoef16[3u * (ic * 2u)];
+      Si3 = pCoef16[(3u * (ic * 2u)) + 1u];
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T0 = pSrc16[i0 * 2u];
+        T1 = pSrc16[(i0 * 2u) + 1u];
+
+        /* Read yc (real), xc(imag) input */
+        S0 = pSrc16[i2 * 2u];
+        S1 = pSrc16[(i2 * 2u) + 1u];
+
+        /* R0 = (ya + yc), R1 = (xa + xc) */
+        R0 = __SSAT(T0 + S0, 16);
+        R1 = __SSAT(T1 + S1, 16);
+
+        /* S0 = (ya - yc), S1 =(xa - xc) */
+        S0 = __SSAT(T0 - S0, 16);
+        S1 = __SSAT(T1 - S1, 16);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2u];
+        T1 = pSrc16[(i1 * 2u) + 1u];
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2u];
+        U1 = pSrc16[(i3 * 2u) + 1u];
+
+
+        /* T0 = (yb + yd), T1 = (xb + xd) */
+        T0 = __SSAT(T0 + U0, 16);
+        T1 = __SSAT(T1 + U1, 16);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
+        out2 = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
+
+        pSrc16[i0 * 2u] = out1;
+        pSrc16[(2u * i0) + 1u] = out2;
+
+        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+        R0 = (R0 >> 1u) - (T0 >> 1u);
+        R1 = (R1 >> 1u) - (T1 >> 1u);
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2u];
+        T1 = pSrc16[(i1 * 2u) + 1u];
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        pSrc16[i1 * 2u] = out1;
+        pSrc16[(i1 * 2u) + 1u] = out2;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2u];
+        U1 = pSrc16[(i3 * 2u) + 1u];
+
+        /* T0 = yb-yd, T1 = xb-xd */
+        T0 = __SSAT(T0 - U0, 16);
+        T1 = __SSAT(T1 - U1, 16);
+
+        /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
+        R0 = (S0 >> 1u) - (T1 >> 1u);
+        R1 = (S1 >> 1u) + (T0 >> 1u);
+
+        /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
+        S0 = (S0 >> 1u) + (T1 >> 1u);
+        S1 = (S1 >> 1u) - (T0 >> 1u);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16u);
+
+        out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16u);
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        pSrc16[i2 * 2u] = out1;
+        pSrc16[(i2 * 2u) + 1u] = out2;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+        out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
+
+        out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
+        /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+        pSrc16[i3 * 2u] = out1;
+        pSrc16[(i3 * 2u) + 1u] = out2;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2u;
+  }
+  /* end of middle stage process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  n1 = n2;
+  n2 >>= 2u;
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2u];
+    T1 = pSrc16[(i0 * 2u) + 1u];
+
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2u];
+    S1 = pSrc16[(i2 * 2u) + 1u];
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16u);
+    R1 = __SSAT(T1 + S1, 16u);
+
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16u);
+    S1 = __SSAT(T1 - S1, 16u);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u];
+    T1 = pSrc16[(i1 * 2u) + 1u];
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2u];
+    U1 = pSrc16[(i3 * 2u) + 1u];
+
+    /* T0 = (yb + yd), T1 = (xb + xd)) */
+    T0 = __SSAT(T0 + U0, 16u);
+    T1 = __SSAT(T1 + U1, 16u);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
+    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+    R0 = (R0 >> 1u) - (T0 >> 1u);
+    R1 = (R1 >> 1u) - (T1 >> 1u);
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u];
+    T1 = pSrc16[(i1 * 2u) + 1u];
+
+    /*  writing the butterfly processed i0 + fftLen/4 sample */
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    pSrc16[i1 * 2u] = R0;
+    pSrc16[(i1 * 2u) + 1u] = R1;
+
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2u];
+    U1 = pSrc16[(i3 * 2u) + 1u];
+    /* T0 = (yb - yd), T1 = (xb - xd)  */
+    T0 = __SSAT(T0 - U0, 16u);
+    T1 = __SSAT(T1 - U1, 16u);
+
+    /*  writing the butterfly processed i0 + fftLen/2 sample */
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    pSrc16[i2 * 2u] = (S0 >> 1u) + (T1 >> 1u);
+    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
+
+    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    pSrc16[i3 * 2u] = (S0 >> 1u) - (T1 >> 1u);
+    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
+
+  }
+
+  /* end of last stage process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+
+/**    
+ * @brief  Core function for the Q15 CIFFT butterfly process.   
+ * @param[in, out] *pSrc16          points to the in-place buffer of Q15 data type.   
+ * @param[in]      fftLen           length of the FFT.   
+ * @param[in]      *pCoef16         points to twiddle coefficient buffer.   
+ * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+ * @return none.   
+ */
+
+/*    
+* Radix-4 IFFT algorithm used is :    
+*    
+* CIFFT uses same twiddle coefficients as CFFT function    
+*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
+*    
+*    
+* IFFT is implemented with following changes in equations from FFT    
+*    
+* Input real and imaginary data:    
+* x(n) = xa + j * ya    
+* x(n+N/4 ) = xb + j * yb    
+* x(n+N/2 ) = xc + j * yc    
+* x(n+3N 4) = xd + j * yd    
+*    
+*    
+* Output real and imaginary data:    
+* x(4r) = xa'+ j * ya'    
+* x(4r+1) = xb'+ j * yb'    
+* x(4r+2) = xc'+ j * yc'    
+* x(4r+3) = xd'+ j * yd'    
+*    
+*    
+* Twiddle factors for radix-4 IFFT:    
+* Wn = co1 + j * (si1)    
+* W2n = co2 + j * (si2)    
+* W3n = co3 + j * (si3)    
+    
+* The real and imaginary output values for the radix-4 butterfly are    
+* xa' = xa + xb + xc + xd    
+* ya' = ya + yb + yc + yd    
+* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
+* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
+* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
+* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
+* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
+* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
+*    
+*/
+
+void arm_radix4_butterfly_inverse_q15(
+  q15_t * pSrc16,
+  uint32_t fftLen,
+  q15_t * pCoef16,
+  uint32_t twidCoefModifier)
+{
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  q31_t R, S, T, U;
+  q31_t C1, C2, C3, out1, out2;
+  uint32_t n1, n2, ic, i0, j, k;
+
+  q15_t *ptr1;
+  q15_t *pSi0;
+  q15_t *pSi1;
+  q15_t *pSi2;
+  q15_t *pSi3;
+
+  q31_t xaya, xbyb, xcyc, xdyd;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  /* Index for twiddle coefficient */
+  ic = 0u;
+
+  /* Index for input read and output write */
+  j = n2;
+  
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T = _SIMD32_OFFSET(pSi0);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yc (real), xc(imag) input */
+    S = _SIMD32_OFFSET(pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
+
+    /* R = packed((ya + yc), (xa + xc) ) */
+    R = __QADD16(T, S);
+
+    /* S = packed((ya - yc), (xa - xc) ) */
+    S = __QSUB16(T, S);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yd (real), xd(imag) input */
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed((yb + yd), (xb + xd) ) */
+    T = __QADD16(T, U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    _SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
+    pSi0 += 2;
+
+    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+    R = __QSUB16(R, T);
+
+    /* co2 & si2 are read from SIMD Coefficient pointer */
+    C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = __SMUSD(C2, R) >> 16u;
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = __SMUADX(C2, R);
+
+#else
+
+    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out1 = __SMUADX(C2, R) >> 16u;
+    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out2 = __SMUSD(__QSUB16(0, C2), R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /*  Reading i0+fftLen/4 */
+    /* T = packed(yb, xb) */
+    T = _SIMD32_OFFSET(pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    _SIMD32_OFFSET(pSi1) =
+      (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi1 += 2;
+
+    /*  Butterfly calculations */
+    /* U = packed(yd, xd) */
+    U = _SIMD32_OFFSET(pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed(yb-yd, xb-xd) */
+    T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QSAX(S, T);
+    /* S = packed((ya-yc) + (xb- xd),  (xa-xc) - (yb-yd)) */
+    S = __QASX(S, T);
+
+#else
+
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QASX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QSAX(S, T);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* co1 & si1 are read from SIMD Coefficient pointer */
+    C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
+    /*  Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = __SMUSD(C1, S) >> 16u;
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = __SMUADX(C1, S);
+
+#else
+
+    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out1 = __SMUADX(C1, S) >> 16u;
+    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out2 = __SMUSD(__QSUB16(0, C1), S);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* writing output(xb', yb') in little endian format */
+    _SIMD32_OFFSET(pSi2) =
+      ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
+    pSi2 += 2;
+
+
+    /* co3 & si3 are read from SIMD Coefficient pointer */
+    C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = __SMUSD(C3, R) >> 16u;
+    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = __SMUADX(C3, R);
+
+#else
+
+    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out1 = __SMUADX(C3, R) >> 16u;
+    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out2 = __SMUSD(__QSUB16(0, C3), R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+    /* writing output(xd', yd') in little endian format */
+    _SIMD32_OFFSET(pSi3) =
+      ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+    pSi3 += 2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+  } while(--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ic = 0u;
+
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
+      C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
+      C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+      
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T = _SIMD32_OFFSET(pSi0);
+
+        /* Read yc (real), xc(imag) input */
+        S = _SIMD32_OFFSET(pSi2);
+
+        /* R = packed( (ya + yc), (xa + xc)) */
+        R = __QADD16(T, S);
+
+        /* S = packed((ya - yc), (xa - xc)) */
+        S = __QSUB16(T, S);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T = _SIMD32_OFFSET(pSi1);
+
+        /* Read yd (real), xd(imag) input */
+        U = _SIMD32_OFFSET(pSi3);
+
+        /* T = packed( (yb + yd), (xb + xd)) */
+        T = __QADD16(T, U);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = __SHADD16(R, T);
+        out1 = __SHADD16(out1, 0);
+        _SIMD32_OFFSET(pSi0) = out1;
+        pSi0 += 2 * n1;
+
+        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+        R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = __SMUSD(C2, R) >> 16u;
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = __SMUADX(C2, R);
+
+#else
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out1 = __SMUADX(R, C2) >> 16u;
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out2 = __SMUSD(__QSUB16(0, C2), R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T = _SIMD32_OFFSET(pSi1);
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        _SIMD32_OFFSET(pSi1) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi1 += 2 * n1;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U = _SIMD32_OFFSET(pSi3);
+
+        /* T = packed(yb-yd, xb-xd) */
+        T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHSAX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHASX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUSD(C1, S) >> 16u;
+        out2 = __SMUADX(C1, S);
+
+#else
+
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHASX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHSAX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUADX(S, C1) >> 16u;
+        out2 = __SMUSD(__QSUB16(0, C1), S);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        _SIMD32_OFFSET(pSi2) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi2 += 2 * n1;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        out1 = __SMUSD(C3, R) >> 16u;
+        out2 = __SMUADX(C3, R);
+
+#else
+
+        out1 = __SMUADX(C3, R) >> 16u;
+        out2 = __SMUSD(__QSUB16(0, C3), R);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+        _SIMD32_OFFSET(pSi3) =
+          ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
+        pSi3 += 2 * n1;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2u;
+  }
+  /* end of middle stage process */
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+
+  ptr1 = &pSrc16[0];
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD32(ptr1)++;
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD32(ptr1)++;
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD32(ptr1)++;
+
+    /* Read xd (real), yd(imag) input */
+    xdyd = *__SIMD32(ptr1)++;
+
+    /* R = packed((ya + yc), (xa + xc)) */
+    R = __QADD16(xaya, xcyc);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8u;
+
+
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    *__SIMD32(ptr1)++ = __SHADD16(R, T);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    *__SIMD32(ptr1)++ = __SHSUB16(R, T);
+
+    /* S = packed((ya - yc), (xa - xc)) */
+    S = __QSUB16(xaya, xcyc);
+
+    /* Read yd (real), xd(imag) input */
+    /* T = packed( (yb - yd), (xb - xd))  */
+    U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    *__SIMD32(ptr1)++ = __SHASX(S, U);
+
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    *__SIMD32(ptr1)++ = __SHSAX(S, U);
+
+#else
+
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    *__SIMD32(ptr1)++ = __SHSAX(S, U);
+
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    *__SIMD32(ptr1)++ = __SHASX(S, U);
+
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+  } while(--j);
+
+  /* end of last stage  process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+  q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+  uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  /* Index for twiddle coefficient */
+  ic = 0u;
+
+  /* Index for input read and output write */
+  i0 = 0u;
+
+  j = n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  Start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2u] >> 2u;
+    T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2u] >> 2u;
+    S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16u);
+    R1 = __SSAT(T1 + S1, 16u);
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16u);
+    S1 = __SSAT(T1 - S1, 16u);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u] >> 2u;
+    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
+    /* Read yd (real), xd(imag) input */
+    /* input is down scale by 4 to avoid overflow */
+    U0 = pSrc16[i3 * 2u] >> 2u;
+    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
+
+    /* T0 = (yb + yd), T1 = (xb + xd) */
+    T0 = __SSAT(T0 + U0, 16u);
+    T1 = __SSAT(T1 + U1, 16u);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
+    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
+    R0 = __SSAT(R0 - T0, 16u);
+    R1 = __SSAT(R1 - T1, 16u);
+    /* co2 & si2 are read from Coefficient pointer */
+    Co2 = pCoef16[2u * ic * 2u];
+    Si2 = pCoef16[(2u * ic * 2u) + 1u];
+    /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+    out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16u);
+    /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+    out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16u);
+
+    /*  Reading i0+fftLen/4 */
+    /* input is down scale by 4 to avoid overflow */
+    /* T0 = yb, T1 = xb */
+    T0 = pSrc16[i1 * 2u] >> 2u;
+    T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    pSrc16[i1 * 2u] = out1;
+    pSrc16[(i1 * 2u) + 1u] = out2;
+
+    /*  Butterfly calculations */
+    /* input is down scale by 4 to avoid overflow */
+    /* U0 = yd, U1 = xd) */
+    U0 = pSrc16[i3 * 2u] >> 2u;
+    U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
+
+    /* T0 = yb-yd, T1 = xb-xd) */
+    T0 = __SSAT(T0 - U0, 16u);
+    T1 = __SSAT(T1 - U1, 16u);
+    /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+    R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
+    /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+    S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+    /* co1 & si1 are read from Coefficient pointer */
+    Co1 = pCoef16[ic * 2u];
+    Si1 = pCoef16[(ic * 2u) + 1u];
+    /*  Butterfly process for the i0+fftLen/2 sample */
+    /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+    out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
+    /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+    out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
+    /* writing output(xb', yb') in little endian format */
+    pSrc16[i2 * 2u] = out1;
+    pSrc16[(i2 * 2u) + 1u] = out2;
+
+    /* Co3 & si3 are read from Coefficient pointer */
+    Co3 = pCoef16[3u * ic * 2u];
+    Si3 = pCoef16[(3u * ic * 2u) + 1u];
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+    /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+    out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
+    /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+    out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
+    /* writing output(xd', yd') in little endian format */
+    pSrc16[i3 * 2u] = out1;
+    pSrc16[(i3 * 2u) + 1u] = out2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1u;
+
+  } while(--j);
+
+  /*  End of first stage process */
+
+  /* data is in 4.11(q11) format */
+
+
+  /*  Start of Middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ic = 0u;
+
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      Co1 = pCoef16[ic * 2u];
+      Si1 = pCoef16[(ic * 2u) + 1u];
+      Co2 = pCoef16[2u * ic * 2u];
+      Si2 = pCoef16[2u * ic * 2u + 1u];
+      Co3 = pCoef16[3u * ic * 2u];
+      Si3 = pCoef16[(3u * ic * 2u) + 1u];
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T0 = pSrc16[i0 * 2u];
+        T1 = pSrc16[(i0 * 2u) + 1u];
+
+        /* Read yc (real), xc(imag) input */
+        S0 = pSrc16[i2 * 2u];
+        S1 = pSrc16[(i2 * 2u) + 1u];
+
+
+        /* R0 = (ya + yc), R1 = (xa + xc) */
+        R0 = __SSAT(T0 + S0, 16u);
+        R1 = __SSAT(T1 + S1, 16u);
+        /* S0 = (ya - yc), S1 = (xa - xc) */
+        S0 = __SSAT(T0 - S0, 16u);
+        S1 = __SSAT(T1 - S1, 16u);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2u];
+        T1 = pSrc16[(i1 * 2u) + 1u];
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2u];
+        U1 = pSrc16[(i3 * 2u) + 1u];
+
+        /* T0 = (yb + yd), T1 = (xb + xd) */
+        T0 = __SSAT(T0 + U0, 16u);
+        T1 = __SSAT(T1 + U1, 16u);
+
+        /*  writing the butterfly processed i0 sample */
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        pSrc16[i0 * 2u] = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
+        pSrc16[(i0 * 2u) + 1u] = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
+
+        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+        R0 = (R0 >> 1u) - (T0 >> 1u);
+        R1 = (R1 >> 1u) - (T1 >> 1u);
+
+        /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
+        out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
+        /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+        out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2u];
+        T1 = pSrc16[(i1 * 2u) + 1u];
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+        pSrc16[i1 * 2u] = out1;
+        pSrc16[(i1 * 2u) + 1u] = out2;
+
+        /*  Butterfly calculations */
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2u];
+        U1 = pSrc16[(i3 * 2u) + 1u];
+
+        /* T0 = yb-yd, T1 = xb-xd) */
+        T0 = __SSAT(T0 - U0, 16u);
+        T1 = __SSAT(T1 - U1, 16u);
+
+        /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+        R0 = (S0 >> 1u) + (T1 >> 1u);
+        R1 = (S1 >> 1u) - (T0 >> 1u);
+
+        /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+        S0 = (S0 >> 1u) - (T1 >> 1u);
+        S1 = (S1 >> 1u) + (T0 >> 1u);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
+        out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
+        /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+        /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+        pSrc16[i2 * 2u] = out1;
+        pSrc16[(i2 * 2u) + 1u] = out2;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+        out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
+
+        out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
+        /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+        /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+        pSrc16[i3 * 2u] = out1;
+        pSrc16[(i3 * 2u) + 1u] = out2;
+
+
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2u;
+  }
+  /*  End of Middle stages process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point   */
+  /* data is in 6.10(q10) format for the 64 point  */
+  /* data is in 4.12(q12) format for the 16 point  */
+
+  /* start of last stage process */
+
+
+  /*  Initializations for the last stage */
+  n1 = n2;
+  n2 >>= 2u;
+
+  /*  Butterfly implementation */
+  for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2u];
+    T1 = pSrc16[(i0 * 2u) + 1u];
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2u];
+    S1 = pSrc16[(i2 * 2u) + 1u];
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16u);
+    R1 = __SSAT(T1 + S1, 16u);
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16u);
+    S1 = __SSAT(T1 - S1, 16u);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u];
+    T1 = pSrc16[(i1 * 2u) + 1u];
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2u];
+    U1 = pSrc16[(i3 * 2u) + 1u];
+
+    /* T0 = (yb + yd), T1 = (xb + xd) */
+    T0 = __SSAT(T0 + U0, 16u);
+    T1 = __SSAT(T1 + U1, 16u);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
+    pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+    R0 = (R0 >> 1u) - (T0 >> 1u);
+    R1 = (R1 >> 1u) - (T1 >> 1u);
+
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2u];
+    T1 = pSrc16[(i1 * 2u) + 1u];
+
+    /*  writing the butterfly processed i0 + fftLen/4 sample */
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    pSrc16[i1 * 2u] = R0;
+    pSrc16[(i1 * 2u) + 1u] = R1;
+
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2u];
+    U1 = pSrc16[(i3 * 2u) + 1u];
+    /* T0 = (yb - yd), T1 = (xb - xd) */
+    T0 = __SSAT(T0 - U0, 16u);
+    T1 = __SSAT(T1 - U1, 16u);
+
+    /*  writing the butterfly processed i0 + fftLen/2 sample */
+    /* xb' = (xa-yb-xc+yd) */
+    /* yb' = (ya+xb-yc-xd) */
+    pSrc16[i2 * 2u] = (S0 >> 1u) - (T1 >> 1u);
+    pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
+
+
+    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
+    /* xd' = (xa+yb-xc-yd) */
+    /* yd' = (ya-xb-yc+xd) */
+    pSrc16[i3 * 2u] = (S0 >> 1u) + (T1 >> 1u);
+    pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
+  }
+  /* end of last stage  process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
new file mode 100644
index 0000000..0fbb40b
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c
@@ -0,0 +1,1404 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix4_q31.c    
+*    
+* Description:	This file has function definition of Radix-4 FFT & IFFT function and    
+*				In-place bit reversal using bit reversal table    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+void arm_radix4_butterfly_inverse_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint32_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+uint16_t bitRevFactor,
+uint16_t * pBitRevTab);
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup ComplexFFT    
+ * @{    
+ */
+
+/**    
+ * @details    
+ * @brief Processing function for the Q31 CFFT/CIFFT.    
+ * @deprecated Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed
+ * @param[in]      *S    points to an instance of the Q31 CFFT/CIFFT structure.   
+ * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.   
+ * @return none.    
+ *     
+ * \par Input and output formats:    
+ * \par    
+ * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
+ * Hence the output format is different for different FFT sizes.    
+ * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:   
+ * \par   
+ * \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"    
+ * \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"    
+ *    
+ */
+
+void arm_cfft_radix4_q31(
+  const arm_cfft_radix4_instance_q31 * S,
+  q31_t * pSrc)
+{
+  if(S->ifftFlag == 1u)
+  {
+    /* Complex IFFT radix-4 */
+    arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle,
+                                     S->twidCoefModifier);
+  }
+  else
+  {
+    /* Complex FFT radix-4 */
+    arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle,
+                             S->twidCoefModifier);
+  }
+
+
+  if(S->bitReverseFlag == 1u)
+  {
+    /*  Bit Reversal */
+    arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+  }
+
+}
+
+/**    
+ * @} end of ComplexFFT group    
+ */
+
+/*    
+* Radix-4 FFT algorithm used is :    
+*    
+* Input real and imaginary data:    
+* x(n) = xa + j * ya    
+* x(n+N/4 ) = xb + j * yb    
+* x(n+N/2 ) = xc + j * yc    
+* x(n+3N 4) = xd + j * yd    
+*    
+*    
+* Output real and imaginary data:    
+* x(4r) = xa'+ j * ya'    
+* x(4r+1) = xb'+ j * yb'    
+* x(4r+2) = xc'+ j * yc'    
+* x(4r+3) = xd'+ j * yd'    
+*    
+*    
+* Twiddle factors for radix-4 FFT:    
+* Wn = co1 + j * (- si1)    
+* W2n = co2 + j * (- si2)    
+* W3n = co3 + j * (- si3)    
+*    
+*  Butterfly implementation:    
+* xa' = xa + xb + xc + xd    
+* ya' = ya + yb + yc + yd    
+* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
+* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
+* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
+* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
+* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
+* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
+*    
+*/
+
+/**    
+ * @brief  Core function for the Q31 CFFT butterfly process.   
+ * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
+ * @param[in]      fftLen           length of the FFT.   
+ * @param[in]      *pCoef           points to twiddle coefficient buffer.   
+ * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+ * @return none.   
+ */
+
+void arm_radix4_butterfly_q31(
+  q31_t * pSrc,
+  uint32_t fftLen,
+  q31_t * pCoef,
+  uint32_t twidCoefModifier)
+{
+#if defined(ARM_MATH_CM7)
+  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q63_t xaya, xbyb, xcyc, xdyd;
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+
+  /* start of first stage process */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+  i0 = 0u;
+  ia1 = 0u;
+
+  j = n2;
+
+  /*  Calculation of first stage */
+  do
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSrc[(2u * i0)] >> 4u) + (pSrc[(2u * i2)] >> 4u);
+    /* xa - xc */
+    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
+    /* ya - yc */
+    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    pSrc[2u * i0] = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
+
+    /* ya' = ya + yb + yc + yd */
+    pSrc[(2u * i0) + 1u] = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
+    /* xb - xd */
+    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+    pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) + (yb - yd) */
+    r1 = r2 + t1;
+    /* (xa - xc) - (yb - yd) */
+    r2 = r2 - t1;
+
+    /* (ya - yc) - (xb - xd) */
+    s1 = s2 - t2;
+    /* (ya - yc) + (xb - xd) */
+    s2 = s2 + t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1u;
+
+  } while(--j);
+
+  /* end of first stage process */
+
+  /* data is in 5.27(q27) format */
+
+
+  /* start of Middle stages process */
+
+
+  /* each stage in middle stages provides two down scaling of the input */
+
+  twidCoefModifier <<= 2u;
+
+
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    /*  Calculation of first stage */
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSrc[2u * i0] + pSrc[2u * i2];
+        /* xa - xc */
+        r2 = pSrc[2u * i0] - pSrc[2u * i2];
+
+        /* ya + yc */
+        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
+        /* ya - yc */
+        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
+
+        /* xb + xd */
+        t1 = pSrc[2u * i1] + pSrc[2u * i3];
+
+        /* xa' = xa + xb + xc + xd */
+        pSrc[2u * i0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+
+        /* yb + yd */
+        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
+        /* ya' = ya + yb + yc + yd */
+        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
+        /* (xb - xd) */
+        t2 = pSrc[2u * i1] - pSrc[2u * i3];
+
+        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+        pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
+
+        /* (xa - xc) + (yb - yd) */
+        r1 = r2 + t1;
+        /* (xa - xc) - (yb - yd) */
+        r2 = r2 - t1;
+
+        /* (ya - yc) -  (xb - xd) */
+        s1 = s2 - t2;
+        /* (ya - yc) +  (xb - xd) */
+        s2 = s2 + t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+
+        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+        pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#else
+  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q31_t *pSi0;
+  q31_t *pSi1;
+  q31_t *pSi2;
+  q31_t *pSi3;
+  q63_t xaya, xbyb, xcyc, xdyd;
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+
+  /* start of first stage process */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  ia1 = 0u;
+
+  j = n2;
+  
+  pSi0 = pSrc;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /*  Calculation of first stage */
+  do
+  {
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
+    /* xa - xc */
+    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
+    /* ya - yc */
+    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    *pSi0++ = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
+
+    /* ya' = ya + yb + yc + yd */
+    *pSi0++ = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
+    /* xb - xd */
+    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) + (yb - yd) */
+    r1 = r2 + t1;
+    /* (xa - xc) - (yb - yd) */
+    r2 = r2 - t1;
+
+    /* (ya - yc) - (xb - xd) */
+    s1 = s2 - t2;
+    /* (ya - yc) + (xb - xd) */
+    s2 = s2 + t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+  } while(--j);
+
+  /* end of first stage process */
+
+  /* data is in 5.27(q27) format */
+
+
+  /* start of Middle stages process */
+
+
+  /* each stage in middle stages provides two down scaling of the input */
+
+  twidCoefModifier <<= 2u;
+
+
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    /*  Calculation of first stage */
+    for (j = 0u; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+      
+      pSi0 = pSrc + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSi0[0] + pSi2[0];
+
+        /* xa - xc */
+        r2 = pSi0[0] - pSi2[0];
+
+
+        /* ya + yc */
+        s1 = pSi0[1] + pSi2[1];
+
+        /* ya - yc */
+        s2 = pSi0[1] - pSi2[1];
+
+
+        /* xb + xd */
+        t1 = pSi1[0] + pSi3[0];
+
+
+        /* xa' = xa + xb + xc + xd */
+        pSi0[0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+
+        /* yb + yd */
+        t2 = pSi1[1] + pSi3[1];
+
+        /* ya' = ya + yb + yc + yd */
+        pSi0[1] = (s1 + t2) >> 2u;
+        pSi0 += 2 * n1;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSi1[1] - pSi3[1];
+
+        /* (xb - xd) */
+        t2 = pSi1[0] - pSi3[0];
+
+
+        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+        pSi1[1] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
+        pSi1 += 2 * n1;
+
+        /* (xa - xc) + (yb - yd) */
+        r1 = r2 + t1;
+        /* (xa - xc) - (yb - yd) */
+        r2 = r2 - t1;
+
+        /* (ya - yc) -  (xb - xd) */
+        s1 = s2 - t2;
+        /* (ya - yc) +  (xb - xd) */
+        s2 = s2 + t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+        pSi2 += 2 * n1;
+
+        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+        pSi3 += 2 * n1;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#endif
+
+  /* End of Middle stages process */
+
+  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+  /* start of Last stage process */
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+  ptr1 = &pSrc[0];
+
+  /*  Calculations of last stage */
+  do
+  {
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD64(ptr1)++;
+    xa = (q31_t) xaya;
+    ya = (q31_t) (xaya >> 32);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD64(ptr1)++;
+    xb = (q31_t) xbyb;
+    yb = (q31_t) (xbyb >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD64(ptr1)++;
+    xc = (q31_t) xcyc;
+    yc = (q31_t) (xcyc >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xdyd = *__SIMD64(ptr1)++;
+    xd = (q31_t) xdyd;
+    yd = (q31_t) (xdyd >> 32);
+
+#else
+
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD64(ptr1)++;
+    ya = (q31_t) xaya;
+    xa = (q31_t) (xaya >> 32);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD64(ptr1)++;
+    yb = (q31_t) xbyb;
+    xb = (q31_t) (xbyb >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD64(ptr1)++;
+    yc = (q31_t) xcyc;
+    xc = (q31_t) (xcyc >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xdyd = *__SIMD64(ptr1)++;
+    yd = (q31_t) xdyd;
+    xd = (q31_t) (xdyd >> 32);
+
+
+#endif
+
+    /* xa' = xa + xb + xc + xd */
+    xa_out = xa + xb + xc + xd;
+
+    /* ya' = ya + yb + yc + yd */
+    ya_out = ya + yb + yc + yd;
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8u;
+
+    /* writing xa' and ya' */
+    *ptr1++ = xa_out;
+    *ptr1++ = ya_out;
+
+    xc_out = (xa - xb + xc - xd);
+    yc_out = (ya - yb + yc - yd);
+
+    /* writing xc' and yc' */
+    *ptr1++ = xc_out;
+    *ptr1++ = yc_out;
+
+    xb_out = (xa + yb - xc - yd);
+    yb_out = (ya - xb - yc + xd);
+
+    /* writing xb' and yb' */
+    *ptr1++ = xb_out;
+    *ptr1++ = yb_out;
+
+    xd_out = (xa - yb - xc + yd);
+    yd_out = (ya + xb - yc - xd);
+
+    /* writing xd' and yd' */
+    *ptr1++ = xd_out;
+    *ptr1++ = yd_out;
+
+
+  } while(--j);
+
+  /* output is in 11.21(q21) format for the 1024 point */
+  /* output is in 9.23(q23) format for the 256 point */
+  /* output is in 7.25(q25) format for the 64 point */
+  /* output is in 5.27(q27) format for the 16 point */
+
+  /* End of last stage process */
+
+}
+
+
+/**    
+ * @brief  Core function for the Q31 CIFFT butterfly process.   
+ * @param[in, out] *pSrc            points to the in-place buffer of Q31 data type.   
+ * @param[in]      fftLen           length of the FFT.   
+ * @param[in]      *pCoef           points to twiddle coefficient buffer.   
+ * @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+ * @return none.   
+ */
+
+
+/*    
+* Radix-4 IFFT algorithm used is :    
+*    
+* CIFFT uses same twiddle coefficients as CFFT Function    
+*  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]    
+*    
+*    
+* IFFT is implemented with following changes in equations from FFT    
+*    
+* Input real and imaginary data:    
+* x(n) = xa + j * ya    
+* x(n+N/4 ) = xb + j * yb    
+* x(n+N/2 ) = xc + j * yc    
+* x(n+3N 4) = xd + j * yd    
+*    
+*    
+* Output real and imaginary data:    
+* x(4r) = xa'+ j * ya'    
+* x(4r+1) = xb'+ j * yb'    
+* x(4r+2) = xc'+ j * yc'    
+* x(4r+3) = xd'+ j * yd'    
+*    
+*    
+* Twiddle factors for radix-4 IFFT:    
+* Wn = co1 + j * (si1)    
+* W2n = co2 + j * (si2)    
+* W3n = co3 + j * (si3)    
+    
+* The real and imaginary output values for the radix-4 butterfly are    
+* xa' = xa + xb + xc + xd    
+* ya' = ya + yb + yc + yd    
+* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)    
+* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)    
+* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)    
+* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)    
+* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)    
+* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)    
+*    
+*/
+
+void arm_radix4_butterfly_inverse_q31(
+  q31_t * pSrc,
+  uint32_t fftLen,
+  q31_t * pCoef,
+  uint32_t twidCoefModifier)
+{
+#if defined(ARM_MATH_CM7)
+  uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q63_t xaya, xbyb, xcyc, xdyd;
+
+  /* input is be 1.31(q31) format for all FFT sizes */
+  /* Total process is divided into three stages */
+  /* process first stage, middle stages, & last stage */
+
+  /* Start of first stage process */
+
+  /* Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+  i0 = 0u;
+  ia1 = 0u;
+
+  j = n2;
+
+  do
+  {
+
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  index calculation for the input as, */
+    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSrc[2u * i0] >> 4u) + (pSrc[2u * i2] >> 4u);
+    /* xa - xc */
+    r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
+    /* ya - yc */
+    s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    pSrc[2u * i0] = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
+    /* ya' = ya + yb + yc + yd */
+    pSrc[(2u * i0) + 1u] = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
+    /* xb - xd */
+    t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+    pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+    pSrc[2u * i1 + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
+                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) - (yb - yd) */
+    r1 = r2 - t1;
+    /* (xa - xc) + (yb - yd) */
+    r2 = r2 + t1;
+
+    /* (ya - yc) + (xb - xd) */
+    s1 = s2 + t2;
+    /* (ya - yc) - (xb - xd) */
+    s2 = s2 - t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+    pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+    pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+    pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+    pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1u;
+
+  } while(--j);
+
+  /* data is in 5.27(q27) format */
+  /* each stage provides two down scaling of the input */
+
+
+  /* Start of Middle stages process */
+
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of second stage to excluding last stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    for (j = 0; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSrc[2u * i0] + pSrc[2u * i2];
+        /* xa - xc */
+        r2 = pSrc[2u * i0] - pSrc[2u * i2];
+
+        /* ya + yc */
+        s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
+        /* ya - yc */
+        s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
+
+        /* xb + xd */
+        t1 = pSrc[2u * i1] + pSrc[2u * i3];
+
+        /* xa' = xa + xb + xc + xd */
+        pSrc[2u * i0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+        /* yb + yd */
+        t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
+        /* ya' = ya + yb + yc + yd */
+        pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
+        /* (xb - xd) */
+        t2 = pSrc[2u * i1] - pSrc[2u * i3];
+
+        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+        pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
+                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+        pSrc[(2u * i1) + 1u] =
+          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
+           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
+
+        /* (xa - xc) - (yb - yd) */
+        r1 = r2 - t1;
+        /* (xa - xc) + (yb - yd) */
+        r2 = r2 + t1;
+
+        /* (ya - yc) +  (xb - xd) */
+        s1 = s2 + t2;
+        /* (ya - yc) -  (xb - xd) */
+        s2 = s2 - t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+        pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+        pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+
+        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+        pSrc[(2u * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+        pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#else
+  uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
+  q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+  q31_t xa, xb, xc, xd;
+  q31_t ya, yb, yc, yd;
+  q31_t xa_out, xb_out, xc_out, xd_out;
+  q31_t ya_out, yb_out, yc_out, yd_out;
+
+  q31_t *ptr1;
+  q31_t *pSi0;
+  q31_t *pSi1;
+  q31_t *pSi2;
+  q31_t *pSi3;
+  q63_t xaya, xbyb, xcyc, xdyd;
+
+  /* input is be 1.31(q31) format for all FFT sizes */
+  /* Total process is divided into three stages */
+  /* process first stage, middle stages, & last stage */
+
+  /* Start of first stage process */
+
+  /* Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2u;
+
+  ia1 = 0u;
+
+  j = n2;
+  
+  pSi0 = pSrc;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  do
+  {
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
+    /* xa - xc */
+    r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
+
+    /* xb + xd */
+    t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
+
+    /* ya + yc */
+    s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
+    /* ya - yc */
+    s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
+
+    /* xa' = xa + xb + xc + xd */
+    *pSi0++ = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
+    /* ya' = ya + yb + yc + yd */
+    *pSi0++ = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
+    /* xb - xd */
+    t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2u * ia1;
+    co2 = pCoef[ia2 * 2u];
+    si2 = pCoef[(ia2 * 2u) + 1u];
+
+    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
+
+    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+    *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
+                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
+
+    /* (xa - xc) - (yb - yd) */
+    r1 = r2 - t1;
+    /* (xa - xc) + (yb - yd) */
+    r2 = r2 + t1;
+
+    /* (ya - yc) + (xb - xd) */
+    s1 = s2 + t2;
+    /* (ya - yc) - (xb - xd) */
+    s2 = s2 - t2;
+
+    co1 = pCoef[ia1 * 2u];
+    si1 = pCoef[(ia1 * 2u) + 1u];
+
+    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
+
+    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+    *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3u * ia1;
+    co3 = pCoef[ia3 * 2u];
+    si3 = pCoef[(ia3 * 2u) + 1u];
+
+    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
+
+    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+    *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+  } while(--j);
+
+  /* data is in 5.27(q27) format */
+  /* each stage provides two down scaling of the input */
+
+
+  /* Start of Middle stages process */
+
+  twidCoefModifier <<= 2u;
+
+  /*  Calculation of second stage to excluding last stage */
+  for (k = fftLen / 4u; k > 4u; k >>= 2u)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2u;
+    ia1 = 0u;
+
+    for (j = 0; j <= (n2 - 1u); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[ia1 * 2u];
+      si1 = pCoef[(ia1 * 2u) + 1u];
+      co2 = pCoef[ia2 * 2u];
+      si2 = pCoef[(ia2 * 2u) + 1u];
+      co3 = pCoef[ia3 * 2u];
+      si3 = pCoef[(ia3 * 2u) + 1u];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+      
+      pSi0 = pSrc + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSi0[0] + pSi2[0];
+
+        /* xa - xc */
+        r2 = pSi0[0] - pSi2[0];
+
+
+        /* ya + yc */
+        s1 = pSi0[1] + pSi2[1];
+
+        /* ya - yc */
+        s2 = pSi0[1] - pSi2[1];
+
+
+        /* xb + xd */
+        t1 = pSi1[0] + pSi3[0];
+
+
+        /* xa' = xa + xb + xc + xd */
+        pSi0[0] = (r1 + t1) >> 2u;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+        /* yb + yd */
+        t2 = pSi1[1] + pSi3[1];
+
+        /* ya' = ya + yb + yc + yd */
+        pSi0[1] = (s1 + t2) >> 2u;
+        pSi0 += 2 * n1;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSi1[1] - pSi3[1];
+
+        /* (xb - xd) */
+        t2 = pSi1[0] - pSi3[0];
+
+
+        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+        pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
+                         ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
+
+        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+        pSi1[1] =
+
+          (((int32_t) (((q63_t) s1 * co2) >> 32u)) +
+           ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
+        pSi1 += 2 * n1;
+
+        /* (xa - xc) - (yb - yd) */
+        r1 = r2 - t1;
+        /* (xa - xc) + (yb - yd) */
+        r2 = r2 + t1;
+
+        /* (ya - yc) +  (xb - xd) */
+        s1 = s2 + t2;
+        /* (ya - yc) -  (xb - xd) */
+        s2 = s2 - t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+        pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
+
+        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+        pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
+        pSi2 += 2 * n1;
+
+        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+        pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
+
+        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+        pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
+        pSi3 += 2 * n1;
+      }
+    }
+    twidCoefModifier <<= 2u;
+  }
+#endif
+
+  /* End of Middle stages process */
+
+  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+  /* Start of last stage process */
+
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+  ptr1 = &pSrc[0];
+
+  /*  Calculations of last stage */
+  do
+  {
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD64(ptr1)++;
+    xa = (q31_t) xaya;
+    ya = (q31_t) (xaya >> 32);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD64(ptr1)++;
+    xb = (q31_t) xbyb;
+    yb = (q31_t) (xbyb >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD64(ptr1)++;
+    xc = (q31_t) xcyc;
+    yc = (q31_t) (xcyc >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xdyd = *__SIMD64(ptr1)++;
+    xd = (q31_t) xdyd;
+    yd = (q31_t) (xdyd >> 32);
+
+#else
+
+    /* Read xa (real), ya(imag) input */
+    xaya = *__SIMD64(ptr1)++;
+    ya = (q31_t) xaya;
+    xa = (q31_t) (xaya >> 32);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = *__SIMD64(ptr1)++;
+    yb = (q31_t) xbyb;
+    xb = (q31_t) (xbyb >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = *__SIMD64(ptr1)++;
+    yc = (q31_t) xcyc;
+    xc = (q31_t) (xcyc >> 32);
+
+    /* Read xc (real), yc(imag) input */
+    xdyd = *__SIMD64(ptr1)++;
+    yd = (q31_t) xdyd;
+    xd = (q31_t) (xdyd >> 32);
+
+
+#endif
+
+    /* xa' = xa + xb + xc + xd */
+    xa_out = xa + xb + xc + xd;
+
+    /* ya' = ya + yb + yc + yd */
+    ya_out = ya + yb + yc + yd;
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8u;
+
+    /* writing xa' and ya' */
+    *ptr1++ = xa_out;
+    *ptr1++ = ya_out;
+
+    xc_out = (xa - xb + xc - xd);
+    yc_out = (ya - yb + yc - yd);
+
+    /* writing xc' and yc' */
+    *ptr1++ = xc_out;
+    *ptr1++ = yc_out;
+
+    xb_out = (xa - yb - xc + yd);
+    yb_out = (ya + xb - yc - xd);
+
+    /* writing xb' and yb' */
+    *ptr1++ = xb_out;
+    *ptr1++ = yb_out;
+
+    xd_out = (xa + yb - xc - yd);
+    yd_out = (ya - xb - yc + xd);
+
+    /* writing xd' and yd' */
+    *ptr1++ = xd_out;
+    *ptr1++ = yd_out;
+
+  } while(--j);
+
+  /* output is in 11.21(q21) format for the 1024 point */
+  /* output is in 9.23(q23) format for the 256 point */
+  /* output is in 7.25(q25) format for the 64 point */
+  /* output is in 5.27(q27) format for the 16 point */
+
+  /* End of last stage process */
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c
new file mode 100644
index 0000000..7ed8fde
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c
@@ -0,0 +1,384 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_radix8_f32.c    
+*    
+* Description:	Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function        
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.      
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+* @ingroup groupTransforms    
+*/
+
+/**    
+* @defgroup Radix8_CFFT_CIFFT Radix-8 Complex FFT Functions    
+*    
+* \par    
+* Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).    
+* Computational complexity of CFFT reduces drastically when compared to DFT.    
+* \par    
+* This set of functions implements CFFT/CIFFT    
+* for floating-point data types.  The functions operates on in-place buffer which uses same buffer for input and output.    
+* Complex input is stored in input buffer in an interleaved fashion.    
+*    
+* \par    
+* The functions operate on blocks of input and output data and each call to the function processes    
+* <code>2*fftLen</code> samples through the transform.  <code>pSrc</code>  points to In-place arrays containing <code>2*fftLen</code> values.    
+* \par   
+* The <code>pSrc</code> points to the array of in-place buffer of size <code>2*fftLen</code> and inputs and outputs are stored in an interleaved fashion as shown below.    
+* <pre> {real[0], imag[0], real[1], imag[1],..} </pre>    
+*    
+* \par Lengths supported by the transform:   
+* \par    
+* Internally, the function utilize a Radix-8 decimation in frequency(DIF) algorithm    
+* and the size of the FFT supported are of the lengths [ 64, 512, 4096].   
+*     
+*    
+* \par Algorithm:    
+*    
+* <b>Complex Fast Fourier Transform:</b>    
+* \par     
+* Input real and imaginary data:    
+* <pre>    
+* x(n) = xa + j * ya    
+* x(n+N/4 ) = xb + j * yb    
+* x(n+N/2 ) = xc + j * yc    
+* x(n+3N 4) = xd + j * yd    
+* </pre>    
+* where N is length of FFT    
+* \par    
+* Output real and imaginary data:    
+* <pre>    
+* X(4r) = xa'+ j * ya'    
+* X(4r+1) = xb'+ j * yb'    
+* X(4r+2) = xc'+ j * yc'    
+* X(4r+3) = xd'+ j * yd'    
+* </pre>    
+* \par    
+* Twiddle factors for Radix-8 FFT:    
+* <pre>    
+* Wn = co1 + j * (- si1)    
+* W2n = co2 + j * (- si2)    
+* W3n = co3 + j * (- si3)    
+* </pre>    
+*    
+* \par    
+* \image html CFFT.gif "Radix-8 Decimation-in Frequency Complex Fast Fourier Transform"    
+*    
+* \par    
+* Output from Radix-8 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output.    
+* \par    
+* <b> Butterfly CFFT equations:</b>    
+* <pre>    
+* xa' = xa + xb + xc + xd    
+* ya' = ya + yb + yc + yd    
+* xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
+* yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
+* xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
+* yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
+* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
+* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
+* </pre>    
+*    
+* \par    
+* where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT);    
+* <code>bitReverseFlag</code> Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order);     
+* <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the array of bit reversal table.    
+* <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table;     
+* <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table.    
+* <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT;    
+*   
+* \par Fixed-Point Behavior    
+* Care must be taken when using the fixed-point versions of the CFFT/CIFFT function.    
+* Refer to the function specific documentation below for usage guidelines.    
+*/
+
+
+/*    
+* @brief  Core function for the floating-point CFFT butterfly process.   
+* @param[in, out] *pSrc            points to the in-place buffer of floating-point data type.   
+* @param[in]      fftLen           length of the FFT.   
+* @param[in]      *pCoef           points to the twiddle coefficient buffer.   
+* @param[in]      twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.   
+*/
+
+void arm_radix8_butterfly_f32(
+float32_t * pSrc,
+uint16_t fftLen,
+const float32_t * pCoef,
+uint16_t twidCoefModifier)
+{
+   uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
+   uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
+   uint32_t id;
+   uint32_t n1, n2, j;
+   
+   float32_t r1, r2, r3, r4, r5, r6, r7, r8;
+   float32_t t1, t2;
+   float32_t s1, s2, s3, s4, s5, s6, s7, s8;
+   float32_t p1, p2, p3, p4;
+   float32_t co2, co3, co4, co5, co6, co7, co8;
+   float32_t si2, si3, si4, si5, si6, si7, si8;
+   const float32_t C81 = 0.70710678118f;
+
+   n2 = fftLen;
+   
+   do 
+   {
+      n1 = n2;
+      n2 = n2 >> 3;
+      i1 = 0;
+      
+      do
+      {
+         i2 = i1 + n2;
+         i3 = i2 + n2;
+         i4 = i3 + n2;
+         i5 = i4 + n2;
+         i6 = i5 + n2;
+         i7 = i6 + n2;
+         i8 = i7 + n2;
+         r1 = pSrc[2 * i1] + pSrc[2 * i5];
+         r5 = pSrc[2 * i1] - pSrc[2 * i5];
+         r2 = pSrc[2 * i2] + pSrc[2 * i6];
+         r6 = pSrc[2 * i2] - pSrc[2 * i6];
+         r3 = pSrc[2 * i3] + pSrc[2 * i7];
+         r7 = pSrc[2 * i3] - pSrc[2 * i7];
+         r4 = pSrc[2 * i4] + pSrc[2 * i8];
+         r8 = pSrc[2 * i4] - pSrc[2 * i8];
+         t1 = r1 - r3;
+         r1 = r1 + r3;
+         r3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1] = r1 + r2;   
+         pSrc[2 * i5] = r1 - r2;
+         r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+         s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+         r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+         s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+         s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+         s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+         r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+         s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+         t2 = r1 - s3;
+         r1 = r1 + s3;
+         s3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1 + 1] = r1 + r2;
+         pSrc[2 * i5 + 1] = r1 - r2;
+         pSrc[2 * i3]     = t1 + s3;
+         pSrc[2 * i7]     = t1 - s3;
+         pSrc[2 * i3 + 1] = t2 - r3;
+         pSrc[2 * i7 + 1] = t2 + r3;
+         r1 = (r6 - r8) * C81;
+         r6 = (r6 + r8) * C81;
+         r2 = (s6 - s8) * C81;
+         s6 = (s6 + s8) * C81;
+         t1 = r5 - r1;
+         r5 = r5 + r1;
+         r8 = r7 - r6;
+         r7 = r7 + r6;
+         t2 = s5 - r2;
+         s5 = s5 + r2;
+         s8 = s7 - s6;
+         s7 = s7 + s6;
+         pSrc[2 * i2]     = r5 + s7;
+         pSrc[2 * i8]     = r5 - s7;
+         pSrc[2 * i6]     = t1 + s8;
+         pSrc[2 * i4]     = t1 - s8;
+         pSrc[2 * i2 + 1] = s5 - r7;
+         pSrc[2 * i8 + 1] = s5 + r7;
+         pSrc[2 * i6 + 1] = t2 - r8;
+         pSrc[2 * i4 + 1] = t2 + r8;
+         
+         i1 += n1;
+      } while(i1 < fftLen);
+      
+      if(n2 < 8)
+         break;
+      
+      ia1 = 0;
+      j = 1;
+      
+      do
+      {      
+         /*  index calculation for the coefficients */
+         id  = ia1 + twidCoefModifier;
+         ia1 = id;
+         ia2 = ia1 + id;
+         ia3 = ia2 + id;
+         ia4 = ia3 + id;
+         ia5 = ia4 + id;
+         ia6 = ia5 + id;
+         ia7 = ia6 + id;
+                  
+         co2 = pCoef[2 * ia1];
+         co3 = pCoef[2 * ia2];
+         co4 = pCoef[2 * ia3];
+         co5 = pCoef[2 * ia4];
+         co6 = pCoef[2 * ia5];
+         co7 = pCoef[2 * ia6];
+         co8 = pCoef[2 * ia7];
+         si2 = pCoef[2 * ia1 + 1];
+         si3 = pCoef[2 * ia2 + 1];
+         si4 = pCoef[2 * ia3 + 1];
+         si5 = pCoef[2 * ia4 + 1];
+         si6 = pCoef[2 * ia5 + 1];
+         si7 = pCoef[2 * ia6 + 1];
+         si8 = pCoef[2 * ia7 + 1];         
+         
+         i1 = j;
+         
+         do
+         {
+            /*  index calculation for the input */
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+            i4 = i3 + n2;
+            i5 = i4 + n2;
+            i6 = i5 + n2;
+            i7 = i6 + n2;
+            i8 = i7 + n2;
+            r1 = pSrc[2 * i1] + pSrc[2 * i5];
+            r5 = pSrc[2 * i1] - pSrc[2 * i5];
+            r2 = pSrc[2 * i2] + pSrc[2 * i6];
+            r6 = pSrc[2 * i2] - pSrc[2 * i6];
+            r3 = pSrc[2 * i3] + pSrc[2 * i7];
+            r7 = pSrc[2 * i3] - pSrc[2 * i7];
+            r4 = pSrc[2 * i4] + pSrc[2 * i8];
+            r8 = pSrc[2 * i4] - pSrc[2 * i8];
+            t1 = r1 - r3;
+            r1 = r1 + r3;
+            r3 = r2 - r4;
+            r2 = r2 + r4;
+            pSrc[2 * i1] = r1 + r2;
+            r2 = r1 - r2;
+            s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+            s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+            s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+            s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+            s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+            s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+            s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+            s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+            t2 = s1 - s3;
+            s1 = s1 + s3;
+            s3 = s2 - s4;
+            s2 = s2 + s4;
+            r1 = t1 + s3;
+            t1 = t1 - s3;
+            pSrc[2 * i1 + 1] = s1 + s2;
+            s2 = s1 - s2;
+            s1 = t2 - r3;
+            t2 = t2 + r3;
+            p1 = co5 * r2;
+            p2 = si5 * s2;
+            p3 = co5 * s2;
+            p4 = si5 * r2;
+            pSrc[2 * i5]     = p1 + p2;
+            pSrc[2 * i5 + 1] = p3 - p4;
+            p1 = co3 * r1;
+            p2 = si3 * s1;
+            p3 = co3 * s1;
+            p4 = si3 * r1;
+            pSrc[2 * i3]     = p1 + p2;
+            pSrc[2 * i3 + 1] = p3 - p4;
+            p1 = co7 * t1;
+            p2 = si7 * t2;
+            p3 = co7 * t2;
+            p4 = si7 * t1;
+            pSrc[2 * i7]     = p1 + p2;
+            pSrc[2 * i7 + 1] = p3 - p4;
+            r1 = (r6 - r8) * C81;
+            r6 = (r6 + r8) * C81;
+            s1 = (s6 - s8) * C81;
+            s6 = (s6 + s8) * C81;
+            t1 = r5 - r1;
+            r5 = r5 + r1;
+            r8 = r7 - r6;
+            r7 = r7 + r6;
+            t2 = s5 - s1;
+            s5 = s5 + s1;
+            s8 = s7 - s6;
+            s7 = s7 + s6;
+            r1 = r5 + s7;
+            r5 = r5 - s7;
+            r6 = t1 + s8;
+            t1 = t1 - s8;
+            s1 = s5 - r7;
+            s5 = s5 + r7;
+            s6 = t2 - r8;
+            t2 = t2 + r8;
+            p1 = co2 * r1;
+            p2 = si2 * s1;
+            p3 = co2 * s1;
+            p4 = si2 * r1;
+            pSrc[2 * i2]     = p1 + p2;
+            pSrc[2 * i2 + 1] = p3 - p4;
+            p1 = co8 * r5;
+            p2 = si8 * s5;
+            p3 = co8 * s5;
+            p4 = si8 * r5;
+            pSrc[2 * i8]     = p1 + p2;
+            pSrc[2 * i8 + 1] = p3 - p4;
+            p1 = co6 * r6;
+            p2 = si6 * s6;
+            p3 = co6 * s6;
+            p4 = si6 * r6;
+            pSrc[2 * i6]     = p1 + p2;
+            pSrc[2 * i6 + 1] = p3 - p4;
+            p1 = co4 * t1;
+            p2 = si4 * t2;
+            p3 = co4 * t2;
+            p4 = si4 * t1;
+            pSrc[2 * i4]     = p1 + p2;
+            pSrc[2 * i4 + 1] = p3 - p4;
+            
+            i1 += n1;
+         } while(i1 < fftLen);
+         
+         j++;
+      } while(j < n2);
+      
+      twidCoefModifier <<= 3;
+   } while(n2 > 7);   
+}
+
+/**    
+* @} end of Radix8_CFFT_CIFFT group    
+*/
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
new file mode 100644
index 0000000..5ee7efa
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_f32.c
@@ -0,0 +1,461 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_f32.c    
+*    
+* Description:	Processing function of DCT4 & IDCT4 F32.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.      
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @defgroup DCT4_IDCT4 DCT Type IV Functions    
+ * Representation of signals by minimum number of values is important for storage and transmission.    
+ * The possibility of large discontinuity between the beginning and end of a period of a signal    
+ * in DFT can be avoided by extending the signal so that it is even-symmetric.    
+ * Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the    
+ * spectrum and is very widely used in signal and image coding applications.    
+ * The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.    
+ * DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.    
+ *    
+ * DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.    
+ * Reordering of the input data makes the computation of DCT just a problem of    
+ * computing the DFT of a real signal with a few additional operations.    
+ * This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.    
+ *     
+ * DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.    
+ * DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.    
+ * DCT2 implementation can be described in the following steps:    
+ * - Re-ordering input    
+ * - Calculating Real FFT    
+ * - Multiplication of weights and Real FFT output and getting real part from the product.    
+ *    
+ * This process is explained by the block diagram below:    
+ * \image html DCT4.gif "Discrete Cosine Transform - type-IV"    
+ *    
+ * \par Algorithm:    
+ * The N-point type-IV DCT is defined as a real, linear transformation by the formula:    
+ * \image html DCT4Equation.gif    
+ * where <code>k = 0,1,2,.....N-1</code>    
+ *\par    
+ * Its inverse is defined as follows:    
+ * \image html IDCT4Equation.gif    
+ * where <code>n = 0,1,2,.....N-1</code>    
+ *\par    
+ * The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).    
+ * The symmetry of the transform matrix indicates that the fast algorithms for the forward    
+ * and inverse transform computation are identical.    
+ * Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.    
+ *    
+ * \par Lengths supported by the transform:    
+ *  As DCT4 internally uses Real FFT, it supports all the lengths supported by arm_rfft_f32().    
+ * The library provides separate functions for Q15, Q31, and floating-point data types.    
+ * \par Instance Structure    
+ * The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.    
+ * A separate instance structure must be defined for each transform.    
+ * There are separate instance structure declarations for each of the 3 supported data types.    
+ *    
+ * \par Initialization Functions    
+ * There is also an associated initialization function for each data type.    
+ * The initialization function performs the following operations:    
+ * - Sets the values of the internal structure fields.    
+ * - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32().    
+ * \par    
+ * Use of the initialization function is optional.    
+ * However, if the initialization function is used, then the instance structure cannot be placed into a const data section.    
+ * To place an instance structure into a const data section, the instance structure must be manually initialized.    
+ * Manually initialize the instance structure as follows:    
+ * <pre>    
+ *arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};    
+ *arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
+ *arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
+ * </pre>   
+ * where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;   
+ * \c normalize is normalizing factor used and is equal to <code>sqrt(2/N)</code>;    
+ * \c pTwiddle points to the twiddle factor table;   
+ * \c pCosFactor points to the cosFactor table;   
+ * \c pRfft points to the real FFT instance;   
+ * \c pCfft points to the complex FFT instance;   
+ * The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()   
+ * and arm_rfft_f32() respectively for details regarding static initialization.   
+ *   
+ * \par Fixed-Point Behavior    
+ * Care must be taken when using the fixed-point versions of the DCT4 transform functions.    
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.    
+ * Refer to the function specific documentation below for usage guidelines.    
+ */
+
+ /**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the floating-point DCT4/IDCT4.   
+ * @param[in]       *S             points to an instance of the floating-point DCT4/IDCT4 structure.   
+ * @param[in]       *pState        points to state buffer.   
+ * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
+ * @return none.   
+ */
+
+void arm_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+  float32_t * pState,
+  float32_t * pInlineBuffer)
+{
+  uint32_t i;                                    /* Loop counter */
+  float32_t *weights = S->pTwiddle;              /* Pointer to the Weights table */
+  float32_t *cosFact = S->pCosFactor;            /* Pointer to the cos factors table */
+  float32_t *pS1, *pS2, *pbuff;                  /* Temporary pointers for input buffer and pState buffer */
+  float32_t in;                                  /* Temporary variable */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
+   * along with some pre-processing and post-processing.    
+   * Computational procedure is explained as follows:    
+   * (a) Pre-processing involves multiplying input with cos factor,    
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
+   *              where,    
+   *                 r(n) -- output of preprocessing    
+   *                 u(n) -- input to preprocessing(actual Source buffer)    
+   * (b) Calculation of DCT2 using FFT is divided into three steps:    
+   *                  Step1: Re-ordering of even and odd elements of input.    
+   *                  Step2: Calculating FFT of the re-ordered input.    
+   *                  Step3: Taking the real part of the product of FFT output and weights.    
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *                        where,    
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
+   */
+
+        /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
+  arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------    
+   * Step1: Re-ordering of even and odd elements as,    
+   *             pState[i] =  pInlineBuffer[2*i] and    
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = (uint32_t) S->Nby2 >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = (uint32_t) S->N >> 2u;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
+
+        /*----------------------------------------------------------------------    
+	 *  Step3: Multiply the FFT output with the weights.    
+	 *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = ((uint32_t) S->N - 1u) >> 2u;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ * (float32_t) 0.5;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  i = ((uint32_t) S->N - 1u) % 0x4u;
+
+  while(i > 0u)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = (uint32_t) S->N >> 2u;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initializing the loop counter to N/2 */
+  i = (uint32_t) S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = (uint32_t) S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
+
+        /*----------------------------------------------------------------------    
+	 *  Step3: Multiply the FFT output with the weights.    
+	 *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ * (float32_t) 0.5;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* Initializing the loop counter */
+  i = ((uint32_t) S->N - 1u);
+
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter */
+  i = (uint32_t) S->N;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
new file mode 100644
index 0000000..efc6501
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_f32.c
@@ -0,0 +1,16519 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_init_f32.c    
+*    
+* Description:	Initialization function of DCT-4 & IDCT4 F32    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/*    
+* @brief  Weights Table    
+*/
+
+/**    
+* \par    
+* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>    
+* \par    
+* C command to generate the table    
+* <pre>    
+* for(i = 0; i< N; i++)    
+* {    
+*    weights[2*i]= cos(i*c);    
+*    weights[(2*i)+1]= -sin(i * c);    
+* } </pre>    
+* \par    
+* Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>    
+* \par    
+* In the tables below the real and imaginary values are placed alternatively, hence the    
+* array length is <code>2*N</code>.    
+*/
+
+static const float32_t Weights_128[256] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,
+  -0.012271538285719925f,
+  0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f,
+  -0.036807222941358832f,
+  0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f,
+  -0.061320736302208578f,
+  0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f,
+  -0.085797312344439894f,
+  0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f,
+  -0.110222207293883060f,
+  0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f,
+  -0.134580708507126170f,
+  0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f,
+  -0.158858143333861450f,
+  0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f,
+  -0.183039887955140950f,
+  0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f,
+  -0.207111376192218560f,
+  0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f,
+  -0.231058108280671110f,
+  0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f,
+  -0.254865659604514570f,
+  0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f,
+  -0.278519689385053060f,
+  0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f,
+  -0.302005949319228080f,
+  0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f,
+  -0.325310292162262930f,
+  0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f,
+  -0.348418680249434560f,
+  0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f,
+  -0.371317193951837540f,
+  0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f,
+  -0.393992040061048100f,
+  0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f,
+  -0.416429560097637150f,
+  0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f,
+  -0.438616238538527660f,
+  0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f,
+  -0.460538710958240010f,
+  0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f,
+  -0.482183772079122720f,
+  0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f,
+  -0.503538383725717580f,
+  0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f,
+  -0.524589682678468950f,
+  0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f,
+  -0.545324988422046460f,
+  0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f,
+  -0.565731810783613120f,
+  0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f,
+  -0.585797857456438860f,
+  0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f,
+  -0.605511041404325550f,
+  0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f,
+  -0.624859488142386340f,
+  0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f,
+  -0.643831542889791390f,
+  0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f,
+  -0.662415777590171780f,
+  0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f,
+  -0.680600997795453020f,
+  0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f,
+  -0.698376249408972920f,
+  0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f,
+  -0.715730825283818590f,
+  0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f,
+  -0.732654271672412820f,
+  0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f,
+  -0.749136394523459260f,
+  0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f,
+  -0.765167265622458960f,
+  0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f,
+  -0.780737228572094380f,
+  0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f,
+  -0.795836904608883460f,
+  0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f,
+  -0.810457198252594770f,
+  0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f,
+  -0.824589302785025290f,
+  0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f,
+  -0.838224705554837970f,
+  0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f,
+  -0.851355193105265200f,
+  0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f,
+  -0.863972856121586700f,
+  0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f,
+  -0.876070094195406600f,
+  0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f,
+  -0.887639620402853930f,
+  0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f,
+  -0.898674465693953820f,
+  0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f,
+  -0.909167983090522270f,
+  0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f,
+  -0.919113851690057770f,
+  0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f,
+  -0.928506080473215480f,
+  0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f,
+  -0.937339011912574960f,
+  0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f,
+  -0.945607325380521280f,
+  0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f,
+  -0.953306040354193750f,
+  0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f,
+  -0.960430519415565790f,
+  0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f,
+  -0.966976471044852070f,
+  0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f,
+  -0.972939952205560070f,
+  0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f,
+  -0.978317370719627650f,
+  0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f,
+  -0.983105487431216290f,
+  0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f,
+  -0.987301418157858430f,
+  0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f,
+  -0.990902635427780010f,
+  0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f,
+  -0.993906970002356060f,
+  0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f,
+  -0.996312612182778000f,
+  0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f,
+  -0.998118112900149180f,
+  0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f,
+  -0.999322384588349540f,
+  0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f,
+  -0.999924701839144500f
+};
+
+static const float32_t Weights_512[1024] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f,
+  -0.003067956762965976f,
+  0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f,
+  -0.009203754782059819f,
+  0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f,
+  -0.015339206284988100f,
+  0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f,
+  -0.021474080275469508f,
+  0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f,
+  -0.027608145778965740f,
+  0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f,
+  -0.033741171851377580f,
+  0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f,
+  -0.039872927587739811f,
+  0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f,
+  -0.046003182130914623f,
+  0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f,
+  -0.052131704680283324f,
+  0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f,
+  -0.058258264500435752f,
+  0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f,
+  -0.064382630929857465f,
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+  0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f,
+  -0.999995293809576190f
+};
+
+static const float32_t Weights_2048[4096] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f,
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+  -0.003834942569706228f,
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+  -0.005368906963996343f,
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+  -0.006902858724729756f,
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+  -0.008436794242369799f,
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+  -0.009970709907418031f,
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+  -0.011504602110422714f,
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+  -0.013038467241987334f,
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+  -0.014572301692779064f,
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+  -0.016106101853537287f,
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+  -0.046769346900537863f,
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+  -0.048301593449480144f,
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+  -0.049833726340107277f,
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+  -0.051365741967162593f,
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+  -0.052897636725665324f,
+  0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f,
+  -0.054429407010919133f,
+  0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f,
+  -0.055961049218520569f,
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+  -0.999999705862882230f
+};
+
+static const float32_t Weights_8192[16384] = {
+  1.000000000000000000, -0.000000000000000000, 0.999999981616429330,
+    -0.000191747597310703,
+  0.999999926465717890, -0.000383495187571396, 0.999999834547867670,
+    -0.000575242763732066,
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+    -0.000958737845553301,
+  0.999999338191525530, -0.001150485337113849, 0.999999099205167830,
+    -0.001342232786374338,
+  0.999998823451701880, -0.001533980186284766, 0.999998510931137790,
+    -0.001725727529795126,
+  0.999998161643486980, -0.001917474809855419, 0.999997775588762350,
+    -0.002109222019415644,
+  0.999997352766978210, -0.002300969151425805, 0.999996893178149880,
+    -0.002492716198835908,
+  0.999996396822294350, -0.002684463154595962, 0.999995863699429940,
+    -0.002876210011655979,
+  0.999995293809576190, -0.003067956762965976, 0.999994687152754080,
+    -0.003259703401475973,
+  0.999994043728985820, -0.003451449920135994, 0.999993363538295150,
+    -0.003643196311896068,
+  0.999992646580707190, -0.003834942569706228, 0.999991892856248010,
+    -0.004026688686516512,
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+    -0.999102262374694130,
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+    -0.999118435119223490,
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+    -0.999227529910869610,
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+    -0.999242527079305830,
+  0.038723330775933762, -0.999249970554724420, 0.038531726283093877,
+    -0.999257377290578060,
+  0.038340120373552791, -0.999264747286594420, 0.038148513054354856,
+    -0.999272080542502610,
+  0.037956904332545366, -0.999279377058032710, 0.037765294215169005,
+    -0.999286636832916740,
+  0.037573682709270514, -0.999293859866887790, 0.037382069821895340,
+    -0.999301046159680070,
+  0.037190455560088091, -0.999308195711029470, 0.036998839930894332,
+    -0.999315308520673070,
+  0.036807222941358991, -0.999322384588349540, 0.036615604598527057,
+    -0.999329423913798420,
+  0.036423984909444228, -0.999336426496761240, 0.036232363881155374,
+    -0.999343392336980220,
+  0.036040741520706299, -0.999350321434199440, 0.035849117835142184,
+    -0.999357213788164000,
+  0.035657492831508264, -0.999364069398620550, 0.035465866516850478,
+    -0.999370888265317060,
+  0.035274238898213947, -0.999377670388002850, 0.035082609982644702,
+    -0.999384415766428560,
+  0.034890979777187955, -0.999391124400346050, 0.034699348288889847,
+    -0.999397796289508640,
+  0.034507715524795889, -0.999404431433671300, 0.034316081491951658,
+    -0.999411029832589780,
+  0.034124446197403423, -0.999417591486021720, 0.033932809648196623,
+    -0.999424116393725640,
+  0.033741171851377642, -0.999430604555461730, 0.033549532813992221,
+    -0.999437055970991530,
+  0.033357892543086159, -0.999443470640077770, 0.033166251045705968,
+    -0.999449848562484530,
+  0.032974608328897315, -0.999456189737977340, 0.032782964399706793,
+    -0.999462494166323160,
+  0.032591319265180385, -0.999468761847290050, 0.032399672932364114,
+    -0.999474992780647780,
+  0.032208025408304704, -0.999481186966166950, 0.032016376700048046,
+    -0.999487344403620080,
+  0.031824726814640963, -0.999493465092780590, 0.031633075759129645,
+    -0.999499549033423640,
+  0.031441423540560343, -0.999505596225325310, 0.031249770165979990,
+    -0.999511606668263440,
+  0.031058115642434700, -0.999517580362016990, 0.030866459976971503,
+    -0.999523517306366350,
+  0.030674803176636581, -0.999529417501093140, 0.030483145248477058,
+    -0.999535280945980540,
+  0.030291486199539423, -0.999541107640812940, 0.030099826036870208,
+    -0.999546897585375960,
+  0.029908164767516655, -0.999552650779456990, 0.029716502398525156,
+    -0.999558367222844300,
+  0.029524838936943035, -0.999564046915327740, 0.029333174389816984,
+    -0.999569689856698580,
+  0.029141508764193740, -0.999575296046749220, 0.028949842067120746,
+    -0.999580865485273700,
+  0.028758174305644590, -0.999586398172067070, 0.028566505486812797,
+    -0.999591894106925950,
+  0.028374835617672258, -0.999597353289648380, 0.028183164705269902,
+    -0.999602775720033530,
+  0.027991492756653365, -0.999608161397882110, 0.027799819778869434,
+    -0.999613510322995950,
+  0.027608145778965820, -0.999618822495178640, 0.027416470763989606,
+    -0.999624097914234570,
+  0.027224794740987910, -0.999629336579970110, 0.027033117717008563,
+    -0.999634538492192300,
+  0.026841439699098527, -0.999639703650710200, 0.026649760694305708,
+    -0.999644832055333610,
+  0.026458080709677145, -0.999649923705874240, 0.026266399752260809,
+    -0.999654978602144690,
+  0.026074717829104040, -0.999659996743959220, 0.025883034947254208,
+    -0.999664978131133310,
+  0.025691351113759395, -0.999669922763483760, 0.025499666335666818,
+    -0.999674830640828740,
+  0.025307980620024630, -0.999679701762987930, 0.025116293973880335,
+    -0.999684536129782140,
+  0.024924606404281485, -0.999689333741033640, 0.024732917918276334,
+    -0.999694094596566000,
+  0.024541228522912264, -0.999698818696204250, 0.024349538225237600,
+    -0.999703506039774650,
+  0.024157847032300020, -0.999708156627104880, 0.023966154951147241,
+    -0.999712770458023870,
+  0.023774461988827676, -0.999717347532362190, 0.023582768152388880,
+    -0.999721887849951310,
+  0.023391073448879338, -0.999726391410624470, 0.023199377885346890,
+    -0.999730858214216030,
+  0.023007681468839410, -0.999735288260561680, 0.022815984206405477,
+    -0.999739681549498660,
+  0.022624286105092803, -0.999744038080865430, 0.022432587171950024,
+    -0.999748357854501780,
+  0.022240887414024919, -0.999752640870248840, 0.022049186838366180,
+    -0.999756887127949080,
+  0.021857485452021874, -0.999761096627446610, 0.021665783262040089,
+    -0.999765269368586450,
+  0.021474080275469605, -0.999769405351215280, 0.021282376499358355,
+    -0.999773504575180990,
+  0.021090671940755180, -0.999777567040332940, 0.020898966606708289,
+    -0.999781592746521670,
+  0.020707260504265912, -0.999785581693599210, 0.020515553640476986,
+    -0.999789533881418780,
+  0.020323846022389572, -0.999793449309835270, 0.020132137657052664,
+    -0.999797327978704690,
+  0.019940428551514598, -0.999801169887884260, 0.019748718712823757,
+    -0.999804975037232870,
+  0.019557008148029204, -0.999808743426610520, 0.019365296864179146,
+    -0.999812475055878780,
+  0.019173584868322699, -0.999816169924900410, 0.018981872167508348,
+    -0.999819828033539420,
+  0.018790158768784596, -0.999823449381661570, 0.018598444679200642,
+    -0.999827033969133420,
+  0.018406729905804820, -0.999830581795823400, 0.018215014455646376,
+    -0.999834092861600960,
+  0.018023298335773701, -0.999837567166337090, 0.017831581553236088,
+    -0.999841004709904000,
+  0.017639864115082195, -0.999844405492175240, 0.017448146028360704,
+    -0.999847769513025900,
+  0.017256427300120978, -0.999851096772332190, 0.017064707937411529,
+    -0.999854387269971890,
+  0.016872987947281773, -0.999857641005823860, 0.016681267336780482,
+    -0.999860857979768540,
+  0.016489546112956454, -0.999864038191687680, 0.016297824282859176,
+    -0.999867181641464380,
+  0.016106101853537263, -0.999870288328982950, 0.015914378832040249,
+    -0.999873358254129260,
+  0.015722655225417017, -0.999876391416790410, 0.015530931040716478,
+    -0.999879387816854930,
+  0.015339206284988220, -0.999882347454212560, 0.015147480965280975,
+    -0.999885270328754520,
+  0.014955755088644378, -0.999888156440373320, 0.014764028662127416,
+    -0.999891005788962950,
+  0.014572301692779104, -0.999893818374418490, 0.014380574187649138,
+    -0.999896594196636680,
+  0.014188846153786343, -0.999899333255515390, 0.013997117598240459,
+    -0.999902035550953920,
+  0.013805388528060349, -0.999904701082852900, 0.013613658950295789,
+    -0.999907329851114300,
+  0.013421928871995907, -0.999909921855641540, 0.013230198300209845,
+    -0.999912477096339240,
+  0.013038467241987433, -0.999914995573113470, 0.012846735704377631,
+    -0.999917477285871770,
+  0.012655003694430301, -0.999919922234522750, 0.012463271219194662,
+    -0.999922330418976490,
+  0.012271538285719944, -0.999924701839144500, 0.012079804901056066,
+    -0.999927036494939640,
+  0.011888071072252072, -0.999929334386276070, 0.011696336806357907,
+    -0.999931595513069200,
+  0.011504602110422875, -0.999933819875236000, 0.011312866991496287,
+    -0.999936007472694620,
+  0.011121131456628141, -0.999938158305364590, 0.010929395512867561,
+    -0.999940272373166960,
+  0.010737659167264572, -0.999942349676023910, 0.010545922426868548,
+    -0.999944390213859060,
+  0.010354185298728884, -0.999946393986597460, 0.010162447789895645,
+    -0.999948360994165400,
+  0.009970709907418029, -0.999950291236490480, 0.009778971658346134,
+    -0.999952184713501780,
+  0.009587233049729183, -0.999954041425129780, 0.009395494088617302,
+    -0.999955861371306100,
+  0.009203754782059960, -0.999957644551963900, 0.009012015137106642,
+    -0.999959390967037450,
+  0.008820275160807512, -0.999961100616462820, 0.008628534860211857,
+    -0.999962773500176930,
+  0.008436794242369860, -0.999964409618118280, 0.008245053314331058,
+    -0.999966008970226920,
+  0.008053312083144991, -0.999967571556443780, 0.007861570555861883,
+    -0.999969097376711580,
+  0.007669828739531077, -0.999970586430974140, 0.007478086641202815,
+    -0.999972038719176730,
+  0.007286344267926684, -0.999973454241265940, 0.007094601626752279,
+    -0.999974832997189810,
+  0.006902858724729877, -0.999976174986897610, 0.006711115568908869,
+    -0.999977480210339940,
+  0.006519372166339549, -0.999978748667468830, 0.006327628524071549,
+    -0.999979980358237650,
+  0.006135884649154515, -0.999981175282601110, 0.005944140548638765,
+    -0.999982333440515350,
+  0.005752396229573737, -0.999983454831937730, 0.005560651699009764,
+    -0.999984539456826970,
+  0.005368906963996303, -0.999985587315143200, 0.005177162031583702,
+    -0.999986598406848000,
+  0.004985416908821652, -0.999987572731904080, 0.004793671602759852,
+    -0.999988510290275690,
+  0.004601926120448672, -0.999989411081928400, 0.004410180468937601,
+    -0.999990275106828920,
+  0.004218434655277024, -0.999991102364945590, 0.004026688686516664,
+    -0.999991892856248010,
+  0.003834942569706248, -0.999992646580707190, 0.003643196311896179,
+    -0.999993363538295150,
+  0.003451449920135975, -0.999994043728985820, 0.003259703401476044,
+    -0.999994687152754080,
+  0.003067956762966138, -0.999995293809576190, 0.002876210011656010,
+    -0.999995863699429940,
+  0.002684463154596083, -0.999996396822294350, 0.002492716198835898,
+    -0.999996893178149880,
+  0.002300969151425887, -0.999997352766978210, 0.002109222019415816,
+    -0.999997775588762350,
+  0.001917474809855460, -0.999998161643486980, 0.001725727529795258,
+    -0.999998510931137790,
+  0.001533980186284766, -0.999998823451701880, 0.001342232786374430,
+    -0.999999099205167830,
+  0.001150485337113809, -0.999999338191525530, 0.000958737845553352,
+    -0.999999540410766110,
+  0.000766990318742846, -0.999999705862882230, 0.000575242763732077,
+    -0.999999834547867670,
+  0.000383495187571497, -0.999999926465717890, 0.000191747597310674,
+    -0.999999981616429330,
+
+};
+
+/**    
+* \par    
+* cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>    
+* \par    
+* C command to generate the table    
+* \par    
+* <pre> for(i = 0; i< N; i++)    
+* {    
+*    cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+* } </pre>    
+* \par    
+* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>    
+*/
+static const float32_t cos_factors_128[128] = {
+  0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
+  0.999077727752645360f,
+  0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
+  0.995767414467659820f,
+  0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
+  0.990058210262297120f,
+  0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
+  0.981963869109555240f,
+  0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
+  0.971503890986251780f,
+  0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
+  0.958703474895871600f,
+  0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
+  0.943593458161960390f,
+  0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
+  0.926210242138311380f,
+  0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
+  0.906595704514915330f,
+  0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
+  0.884797098430937790f,
+  0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
+  0.860866938637767310f,
+  0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
+  0.834862874986380010f,
+  0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
+  0.806847553543799330f,
+  0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
+  0.776888465673232440f,
+  0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
+  0.745057785441466060f,
+  0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
+  0.711432195745216430f,
+  0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
+  0.676092703575316030f,
+  0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
+  0.639124444863775730f,
+  0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
+  0.600616479383868970f,
+  0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
+  0.560661576197336030f,
+  0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
+  0.519355990165589530f,
+  0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
+  0.476799230063322250f,
+  0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
+  0.433093818853152010f,
+  0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
+  0.388345046698826300f,
+  0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
+  0.342660717311994380f,
+  0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
+  0.296150888243623960f,
+  0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
+  0.248927605745720260f,
+  0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
+  0.201104634842091960f,
+  0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
+  0.152797185258443410f,
+  0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
+  0.104121633872054730f,
+  0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
+  0.055195244349690031f,
+  0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
+  0.006135884649154515f
+};
+
+static const float32_t cos_factors_512[512] = {
+  0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
+  0.999942349676023910f,
+  0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
+  0.999735288260561680f,
+  0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
+  0.999377670388002850f,
+  0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
+  0.998869549914283560f,
+  0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
+  0.998211003360478190f,
+  0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
+  0.997402129901275300f,
+  0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
+  0.996443051350042630f,
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+  0.995333912140482280f,
+  0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
+  0.994074879304879370f,
+  0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
+  0.992666142448948020f,
+  0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
+  0.991107913723276890f,
+  0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
+  0.989400427791380380f,
+  0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
+  0.987543941794359230f,
+  0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
+  0.985538735312176060f,
+  0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
+  0.983385110321551180f,
+  0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
+  0.981083391150486710f,
+  0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
+  0.978633924429423210f,
+  0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
+  0.976037079039039020f,
+  0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
+  0.973293246054698250f,
+  0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
+  0.970402838687555500f,
+  0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
+  0.967366292222328510f,
+  0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
+  0.964184063951745830f,
+  0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
+  0.960856633107679660f,
+  0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
+  0.957384500788975860f,
+  0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
+  0.953768189885990330f,
+  0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
+  0.950008245001843000f,
+  0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
+  0.946105232370403450f,
+  0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
+  0.942059739771017310f,
+  0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
+  0.937872376439989890f,
+  0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
+  0.933543772978836170f,
+  0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
+  0.929074581259315860f,
+  0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
+  0.924465474325262600f,
+  0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
+  0.919717146291227360f,
+  0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
+  0.914830312237946200f,
+  0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
+  0.909805708104652220f,
+  0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
+  0.904644090578246240f,
+  0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
+  0.899346236979341570f,
+  0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
+  0.893912945145203250f,
+  0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
+  0.888345033309596350f,
+  0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
+  0.882643339979562790f,
+  0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
+  0.876808723809145650f,
+  0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
+  0.870842063470078980f,
+  0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
+  0.864744257519462380f,
+  0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
+  0.858516224264442740f,
+  0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
+  0.852158901623919830f,
+  0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
+  0.845673246987299070f,
+  0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
+  0.839060237070312740f,
+  0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
+  0.832320867767929680f,
+  0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
+  0.825456154004377550f,
+  0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
+  0.818467129580298660f,
+  0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
+  0.811354847017063730f,
+  0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
+  0.804120377398265810f,
+  0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
+  0.796764810208418830f,
+  0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
+  0.789289253168885650f,
+  0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
+  0.781694832071059390f,
+  0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
+  0.773982690606822900f,
+  0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
+  0.766153990196312920f,
+  0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
+  0.758209909813015280f,
+  0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
+  0.750151645806215070f,
+  0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
+  0.741980411720831070f,
+  0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
+  0.733697438114660370f,
+  0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
+  0.725303972373060770f,
+  0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
+  0.716801278521099540f,
+  0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
+  0.708190637033195400f,
+  0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
+  0.699473344640283770f,
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+  0.690650714134534720f,
+  0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
+  0.681724074171649820f,
+  0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
+  0.672694769070772970f,
+  0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
+  0.663564158612039880f,
+  0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
+  0.654333617831800550f,
+  0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
+  0.645004536815544040f,
+  0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
+  0.635578320488556230f,
+  0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
+  0.626056388404343520f,
+  0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
+  0.616440174530853650f,
+  0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
+  0.606731127034524480f,
+  0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f,
+  0.596930708062196500f,
+  0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f,
+  0.587040393520918080f,
+  0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f,
+  0.577061672855679550f,
+  0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
+  0.566996048825108680f,
+  0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
+  0.556845037275160100f,
+  0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
+  0.546610166910834860f,
+  0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
+  0.536292979065963180f,
+  0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
+  0.525895027471084740f,
+  0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f,
+  0.515417878019463150f,
+  0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f,
+  0.504863108531267480f,
+  0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
+  0.494232308515959730f,
+  0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
+  0.483527078932918740f,
+  0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
+  0.472749031950342900f,
+  0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
+  0.461899790702462840f,
+  0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
+  0.450980989045103810f,
+  0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
+  0.439994271309633260f,
+  0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
+  0.428941292055329550f,
+  0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
+  0.417823715820212380f,
+  0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
+  0.406643216870369140f,
+  0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
+  0.395401478947816300f,
+  0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
+  0.384100195016935040f,
+  0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
+  0.372741067009515810f,
+  0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
+  0.361325805568454340f,
+  0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f,
+  0.349856129790135030f,
+  0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
+  0.338333766965541290f,
+  0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
+  0.326760452320131790f,
+  0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
+  0.315137928752522440f,
+  0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
+  0.303467946572011370f,
+  0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
+  0.291752263234989370f,
+  0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
+  0.279992643080273380f,
+  0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
+  0.268190857063403180f,
+  0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
+  0.256348682489942910f,
+  0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
+  0.244467902747824210f,
+  0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
+  0.232550307038775330f,
+  0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
+  0.220597690108873650f,
+  0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
+  0.208611851978263460f,
+  0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
+  0.196594597670080220f,
+  0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
+  0.184547736938619640f,
+  0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
+  0.172473083996796030f,
+  0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
+  0.160372457242928400f,
+  0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
+  0.148247678986896200f,
+  0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
+  0.136100575175706200f,
+  0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
+  0.123932975118512200f,
+  0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
+  0.111746711211126660f,
+  0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
+  0.099543618660069444f,
+  0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
+  0.087325535206192226f,
+  0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
+  0.075094300847921291f,
+  0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
+  0.062851757564161420f,
+  0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
+  0.050599749036899337f,
+  0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
+  0.038340120373552791f,
+  0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
+  0.026074717829104040f,
+  0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
+  0.013805388528060349f,
+  0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
+  0.001533980186284766f
+};
+
+static const float32_t cos_factors_2048[2048] = {
+  0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
+  0.999996396822294350f,
+  0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
+  0.999983454831937730f,
+  0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
+  0.999961100616462820f,
+  0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
+  0.999929334386276070f,
+  0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
+  0.999888156440373320f,
+  0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
+  0.999837567166337090f,
+  0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
+  0.999777567040332940f,
+  0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
+  0.999708156627104880f,
+  0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
+  0.999629336579970110f,
+  0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
+  0.999541107640812940f,
+  0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
+  0.999443470640077770f,
+  0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
+  0.999336426496761240f,
+  0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
+  0.999219976218403530f,
+  0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
+  0.999094120901079070f,
+  0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
+  0.998958861729386080f,
+  0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
+  0.998814199976435390f,
+  0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
+  0.998660137003838490f,
+  0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
+  0.998496674261694640f,
+  0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
+  0.998323813288577560f,
+  0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
+  0.998141555711520520f,
+  0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
+  0.997949903246001190f,
+  0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
+  0.997748857695925690f,
+  0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
+  0.997538420953611340f,
+  0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
+  0.997318594999768600f,
+  0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
+  0.997089381903483400f,
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+  0.134960705002868830f,
+  0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f,
+  0.131920181974319760f,
+  0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f,
+  0.128878417262776660f,
+  0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f,
+  0.125835439498487020f,
+  0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f,
+  0.122791277323116900f,
+  0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f,
+  0.119745959389479630f,
+  0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f,
+  0.116699514361267840f,
+  0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f,
+  0.113651970912781920f,
+  0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
+  0.110603357728661910f,
+  0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
+  0.107553703503615710f,
+  0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f,
+  0.104503036942150550f,
+  0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f,
+  0.101451386758302160f,
+  0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f,
+  0.098398781675363881f,
+  0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f,
+  0.095345250425617742f,
+  0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f,
+  0.092290821750062355f,
+  0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f,
+  0.089235524398144139f,
+  0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f,
+  0.086179387127484922f,
+  0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
+  0.083122438703613077f,
+  0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
+  0.080064707899690932f,
+  0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
+  0.077006223496245585f,
+  0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
+  0.073947014280897269f,
+  0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
+  0.070887109048087787f,
+  0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
+  0.067826536598810966f,
+  0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
+  0.064765325740339871f,
+  0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
+  0.061703505285957416f,
+  0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
+  0.058641104054683348f,
+  0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
+  0.055578150871004817f,
+  0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
+  0.052514674564603257f,
+  0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
+  0.049450703970084824f,
+  0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
+  0.046386267926707213f,
+  0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
+  0.043321395278109784f,
+  0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
+  0.040256114872041358f,
+  0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
+  0.037190455560088091f,
+  0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
+  0.034124446197403423f,
+  0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
+  0.031058115642434700f,
+  0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
+  0.027991492756653365f,
+  0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
+  0.024924606404281485f,
+  0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
+  0.021857485452021874f,
+  0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
+  0.018790158768784596f,
+  0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
+  0.015722655225417017f,
+  0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
+  0.012655003694430301f,
+  0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
+  0.009587233049729183f,
+  0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
+  0.006519372166339549f,
+  0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
+  0.003451449920135975f,
+  0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
+  0.000383495187571497f
+};
+
+static const float32_t cos_factors_8192[8192] = {
+  1.999999990808214700, 1.999999917273932200, 1.999999770205369800,
+    1.999999549602533100,
+  1.999999255465430200, 1.999998887794072000, 1.999998446588471700,
+    1.999997931848645600,
+  1.999997343574612800, 1.999996681766395000, 1.999995946424016200,
+    1.999995137547503600,
+  1.999994255136887000, 1.999993299192198700, 1.999992269713474200,
+    1.999991166700750800,
+  1.999989990154069600, 1.999988740073473500, 1.999987416459008600,
+    1.999986019310723500,
+  1.999984548628669600, 1.999983004412901000, 1.999981386663474400,
+    1.999979695380449400,
+  1.999977930563888100, 1.999976092213855400, 1.999974180330418700,
+    1.999972194913648900,
+  1.999970135963618400, 1.999968003480403000, 1.999965797464081200,
+    1.999963517914734100,
+  1.999961164832445800, 1.999958738217302300, 1.999956238069392900,
+    1.999953664388809800,
+  1.999951017175647600, 1.999948296430003500, 1.999945502151977600,
+    1.999942634341672600,
+  1.999939692999193900, 1.999936678124649700, 1.999933589718150700,
+    1.999930427779810900,
+  1.999927192309745900, 1.999923883308075200, 1.999920500774920300,
+    1.999917044710405500,
+  1.999913515114657900, 1.999909911987807200, 1.999906235329986100,
+    1.999902485141329400,
+  1.999898661421975400, 1.999894764172064600, 1.999890793391740000,
+    1.999886749081147800,
+  1.999882631240436700, 1.999878439869758200, 1.999874174969266300,
+    1.999869836539117700,
+  1.999865424579472000, 1.999860939090491600, 1.999856380072341000,
+    1.999851747525188200,
+  1.999847041449203300, 1.999842261844559700, 1.999837408711432600,
+    1.999832482050000900,
+  1.999827481860445300, 1.999822408142949900, 1.999817260897701400,
+    1.999812040124888700,
+  1.999806745824704000, 1.999801377997341800, 1.999795936642999600,
+    1.999790421761877400,
+  1.999784833354177900, 1.999779171420106700, 1.999773435959872000,
+    1.999767626973684400,
+  1.999761744461757700, 1.999755788424308200, 1.999749758861554900,
+    1.999743655773719400,
+  1.999737479161026100, 1.999731229023702200, 1.999724905361977200,
+    1.999718508176084000,
+  1.999712037466257600, 1.999705493232735800, 1.999698875475759600,
+    1.999692184195571900,
+  1.999685419392419000, 1.999678581066549400, 1.999671669218214600,
+    1.999664683847668800,
+  1.999657624955168700, 1.999650492540973900, 1.999643286605346800,
+    1.999636007148552400,
+  1.999628654170857900, 1.999621227672533800, 1.999613727653853500,
+    1.999606154115092500,
+  1.999598507056529000, 1.999590786478444600, 1.999582992381123000,
+    1.999575124764850800,
+  1.999567183629917100, 1.999559168976613900, 1.999551080805236100,
+    1.999542919116081000,
+  1.999534683909448600, 1.999526375185641800, 1.999517992944965800,
+    1.999509537187729200,
+  1.999501007914242600, 1.999492405124819700, 1.999483728819776900,
+    1.999474978999432800,
+  1.999466155664109600, 1.999457258814131500, 1.999448288449825500,
+    1.999439244571521700,
+  1.999430127179552500, 1.999420936274252800, 1.999411671855960900,
+    1.999402333925017300,
+  1.999392922481765500, 1.999383437526551300, 1.999373879059723500,
+    1.999364247081633500,
+  1.999354541592635500, 1.999344762593086500, 1.999334910083345700,
+    1.999324984063775700,
+  1.999314984534741100, 1.999304911496609700, 1.999294764949752100,
+    1.999284544894541100,
+  1.999274251331352400, 1.999263884260564600, 1.999253443682558900,
+    1.999242929597719200,
+  1.999232342006432000, 1.999221680909086400, 1.999210946306074500,
+    1.999200138197791100,
+  1.999189256584633600, 1.999178301467001900, 1.999167272845298900,
+    1.999156170719930100,
+  1.999144995091303600, 1.999133745959830600, 1.999122423325924200,
+    1.999111027190001000,
+  1.999099557552479900, 1.999088014413782800, 1.999076397774334000,
+    1.999064707634560700,
+  1.999052943994892300, 1.999041106855761900, 1.999029196217604100,
+    1.999017212080857400,
+  1.999005154445962200, 1.998993023313361700, 1.998980818683502100,
+    1.998968540556831800,
+  1.998956188933802800, 1.998943763814868800, 1.998931265200486900,
+    1.998918693091116200,
+  1.998906047487219600, 1.998893328389261400, 1.998880535797709700,
+    1.998867669713034500,
+  1.998854730135709400, 1.998841717066209400, 1.998828630505013400,
+    1.998815470452602400,
+  1.998802236909460500, 1.998788929876074100, 1.998775549352932400,
+    1.998762095340527400,
+  1.998748567839354000, 1.998734966849909000, 1.998721292372693100,
+    1.998707544408208700,
+  1.998693722956961500, 1.998679828019459300, 1.998665859596213500,
+    1.998651817687737300,
+  1.998637702294547000, 1.998623513417161700, 1.998609251056103100,
+    1.998594915211895600,
+  1.998580505885066100, 1.998566023076144600, 1.998551466785663400,
+    1.998536837014157900,
+  1.998522133762165900, 1.998507357030227900, 1.998492506818887200,
+    1.998477583128690100,
+  1.998462585960185000, 1.998447515313923400, 1.998432371190459500,
+    1.998417153590349900,
+  1.998401862514154200, 1.998386497962434800, 1.998371059935756300,
+    1.998355548434686400,
+  1.998339963459795400, 1.998324305011656600, 1.998308573090845200,
+    1.998292767697940100,
+  1.998276888833522300, 1.998260936498175400, 1.998244910692486000,
+    1.998228811417043700,
+  1.998212638672439900, 1.998196392459269400, 1.998180072778129600,
+    1.998163679629620500,
+  1.998147213014344900, 1.998130672932908000, 1.998114059385918400,
+    1.998097372373986300,
+  1.998080611897725700, 1.998063777957752600, 1.998046870554686100,
+    1.998029889689147700,
+  1.998012835361761900, 1.997995707573155600, 1.997978506323958600,
+    1.997961231614803200,
+  1.997943883446324800, 1.997926461819161000, 1.997908966733952500,
+    1.997891398191342400,
+  1.997873756191977000, 1.997856040736504500, 1.997838251825576400,
+    1.997820389459846700,
+  1.997802453639972300, 1.997784444366612600, 1.997766361640429800,
+    1.997748205462088500,
+  1.997729975832256600, 1.997711672751604200, 1.997693296220804000,
+    1.997674846240532000,
+  1.997656322811466500, 1.997637725934288300, 1.997619055609681600,
+    1.997600311838332500,
+  1.997581494620930300, 1.997562603958166600, 1.997543639850736200,
+    1.997524602299336500,
+  1.997505491304667000, 1.997486306867430900, 1.997467048988333000,
+    1.997447717668082000,
+  1.997428312907388200, 1.997408834706965000, 1.997389283067528800,
+    1.997369657989798400,
+  1.997349959474495200, 1.997330187522343700, 1.997310342134070800,
+    1.997290423310406100,
+  1.997270431052081900, 1.997250365359833200, 1.997230226234397900,
+    1.997210013676516700,
+  1.997189727686932400, 1.997169368266390900, 1.997148935415640600,
+    1.997128429135433400,
+  1.997107849426522600, 1.997087196289665000, 1.997066469725620200,
+    1.997045669735150000,
+  1.997024796319019300, 1.997003849477995600, 1.996982829212848900,
+    1.996961735524351900,
+  1.996940568413280600, 1.996919327880412900, 1.996898013926530000,
+    1.996876626552415400,
+  1.996855165758855600, 1.996833631546639300, 1.996812023916558800,
+    1.996790342869408000,
+  1.996768588405984300, 1.996746760527087700, 1.996724859233520500,
+    1.996702884526087900,
+  1.996680836405598100, 1.996658714872861800, 1.996636519928692000,
+    1.996614251573904900,
+  1.996591909809319400, 1.996569494635756600, 1.996547006054041100,
+    1.996524444064999400,
+  1.996501808669461000, 1.996479099868258400, 1.996456317662226300,
+    1.996433462052202600,
+  1.996410533039027400, 1.996387530623543900, 1.996364454806597500,
+    1.996341305589037100,
+  1.996318082971713500, 1.996294786955480800, 1.996271417541195300,
+    1.996247974729716200,
+  1.996224458521905600, 1.996200868918628100, 1.996177205920750800,
+    1.996153469529144100,
+  1.996129659744680300, 1.996105776568235100, 1.996081820000686500,
+    1.996057790042915500,
+  1.996033686695805300, 1.996009509960242400, 1.995985259837115500,
+    1.995960936327316300,
+  1.995936539431739000, 1.995912069151280800, 1.995887525486841300,
+    1.995862908439323100,
+  1.995838218009630800, 1.995813454198672700, 1.995788617007359100,
+    1.995763706436603200,
+  1.995738722487320600, 1.995713665160430600, 1.995688534456853800,
+    1.995663330377514400,
+  1.995638052923339300, 1.995612702095257400, 1.995587277894201400,
+    1.995561780321105600,
+  1.995536209376907600, 1.995510565062547800, 1.995484847378968600,
+    1.995459056327116000,
+  1.995433191907938000, 1.995407254122385700, 1.995381242971412600,
+    1.995355158455975200,
+  1.995329000577032800, 1.995302769335546500, 1.995276464732481200,
+    1.995250086768804100,
+  1.995223635445484900, 1.995197110763496000, 1.995170512723813100,
+    1.995143841327413400,
+  1.995117096575278200, 1.995090278468390600, 1.995063387007736600,
+    1.995036422194304700,
+  1.995009384029086800, 1.994982272513076600, 1.994955087647271000,
+    1.994927829432669800,
+  1.994900497870274900, 1.994873092961091200, 1.994845614706126400,
+    1.994818063106391000,
+  1.994790438162897600, 1.994762739876662100, 1.994734968248702800,
+    1.994707123280041100,
+  1.994679204971700100, 1.994651213324707000, 1.994623148340090700,
+    1.994595010018883000,
+  1.994566798362118300, 1.994538513370834200, 1.994510155046070700,
+    1.994481723388870100,
+  1.994453218400277900, 1.994424640081342100, 1.994395988433113700,
+    1.994367263456646100,
+  1.994338465152995000, 1.994309593523219600, 1.994280648568381500,
+    1.994251630289544600,
+  1.994222538687776100, 1.994193373764145500, 1.994164135519725000,
+    1.994134823955589800,
+  1.994105439072817700, 1.994075980872488800, 1.994046449355686200,
+    1.994016844523496000,
+  1.993987166377006600, 1.993957414917308700, 1.993927590145496900,
+    1.993897692062667200,
+  1.993867720669919400, 1.993837675968354700, 1.993807557959078600,
+    1.993777366643197900,
+  1.993747102021822900, 1.993716764096066200, 1.993686352867043200,
+    1.993655868335872300,
+  1.993625310503674100, 1.993594679371572200, 1.993563974940692800,
+    1.993533197212164800,
+  1.993502346187119700, 1.993471421866692200, 1.993440424252018900,
+    1.993409353344239600,
+  1.993378209144496700, 1.993346991653935300, 1.993315700873703200,
+    1.993284336804950900,
+  1.993252899448831400, 1.993221388806500900, 1.993189804879117500,
+    1.993158147667842800,
+  1.993126417173840500, 1.993094613398277400, 1.993062736342323000,
+    1.993030786007148800,
+  1.992998762393930000, 1.992966665503844000, 1.992934495338070800,
+    1.992902251897793000,
+  1.992869935184196300, 1.992837545198469000, 1.992805081941801700,
+    1.992772545415388200,
+  1.992739935620424700, 1.992707252558110200, 1.992674496229646500,
+    1.992641666636237700,
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+    0.029336330489733147,
+  0.028952876013492331, 0.028569420472737472, 0.028185963881566689,
+    0.027802506254078142,
+  0.027419047604371360, 0.027035587946544135, 0.026652127294696067,
+    0.026268665662925468,
+  0.025885203065330677, 0.025501739516011413, 0.025118275029065638,
+    0.024734809618593138,
+  0.024351343298691951, 0.023967876083461924, 0.023584407987001611,
+    0.023200939023409587,
+  0.022817469206785804, 0.022433998551228459, 0.022050527070837558,
+    0.021667054779711814,
+  0.021283581691949955, 0.020900107821652084, 0.020516633182916549,
+    0.020133157789843505,
+  0.019749681656531803, 0.019366204797080316, 0.018982727225589285,
+    0.018599248956157190,
+  0.018215770002884327, 0.017832290379869671, 0.017448810101212228,
+    0.017065329181012358,
+  0.016681847633368677, 0.016298365472381587, 0.015914882712149747,
+    0.015531399366773606,
+  0.015147915450352307, 0.014764430976985016, 0.014380945960772247,
+    0.013997460415812761,
+  0.013613974356207112, 0.013230487796054543, 0.012847000749454314,
+    0.012463513230507034,
+  0.012080025253311559, 0.011696536831968529, 0.011313047980577277,
+    0.010929558713237145,
+  0.010546069044048827, 0.010162578987111254, 0.009779088556525145,
+    0.009395597766389905,
+  0.009012106630804949, 0.008628615163871038, 0.008245123379687167,
+    0.007861631292354124,
+  0.007478138915970929, 0.007094646264638386, 0.006711153352455981,
+    0.006327660193523208,
+  0.005944166801940901, 0.005560673191808128, 0.005177179377225743,
+    0.004793685372293270,
+  0.004410191191110246, 0.004026696847777542, 0.003643202356394263,
+    0.003259707731061291,
+  0.002876212985878184, 0.002492718134944503, 0.002109223192361147,
+    0.001725728172227238,
+  0.001342233088643682, 0.000958737955710053, 0.000575242787525925,
+    0.000191747598192208,
+
+};
+
+/**    
+ * @brief  Initialization function for the floating-point DCT4/IDCT4.   
+ * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.   
+ * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.   
+ * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.   
+ * @param[in]     N			 length of the DCT4.   
+ * @param[in]     Nby2       half of the length of the DCT4.   
+ * @param[in]     normalize  normalizing factor.   
+ * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.   
+ * \par Normalizing factor:    
+ * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.    
+ * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:    
+ * \image html dct4NormalizingF32Table.gif    
+ */
+
+arm_status arm_dct4_init_f32(
+  arm_dct4_instance_f32 * S,
+  arm_rfft_instance_f32 * S_RFFT,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  float32_t normalize)
+{
+  /*  Initialize the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /* Initializing the pointer array with the weight table base addresses of different lengths */
+  float32_t *twiddlePtr[4] =
+    { (float32_t *) Weights_128, (float32_t *) Weights_512,
+    (float32_t *) Weights_2048, (float32_t *) Weights_8192
+  };
+
+  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
+  float32_t *pCosFactor[4] =
+    { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512,
+    (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192
+  };
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+    /* Initialize the table modifier values */
+  case 8192u:
+    S->pTwiddle = twiddlePtr[3];
+    S->pCosFactor = pCosFactor[3];
+    break;
+  case 2048u:
+    S->pTwiddle = twiddlePtr[2];
+    S->pCosFactor = pCosFactor[2];
+    break;
+  case 512u:
+    S->pTwiddle = twiddlePtr[1];
+    S->pCosFactor = pCosFactor[1];
+    break;
+  case 128u:
+    S->pTwiddle = twiddlePtr[0];
+    S->pCosFactor = pCosFactor[0];
+    break;
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT */
+  arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
new file mode 100644
index 0000000..7a78aa8
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q15.c
@@ -0,0 +1,4284 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_init_q15.c    
+*    
+* Description:	Initialization function of DCT-4 & IDCT4 Q15    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/*    
+* @brief  Weights Table    
+*/
+
+/**    
+* \par    
+* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>    
+* \par    
+* C command to generate the table    
+* <pre>    
+* for(i = 0; i< N; i++)    
+* {    
+*   weights[2*i]= cos(i*c);    
+*   weights[(2*i)+1]= -sin(i * c);    
+* } </pre>    
+* \par    
+* where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>    
+* \par    
+* Converted the output to q15 format by multiplying with 2^31 and saturated if required.    
+* \par    
+* In the tables below the real and imaginary values are placed alternatively, hence the    
+* array length is <code>2*N</code>.    
+*/
+
+static const q15_t ALIGN4 WeightsQ15_128[256] = {
+  0x7fff, 0x0, 0x7ffd, 0xfe6e, 0x7ff6, 0xfcdc, 0x7fe9, 0xfb4a,
+  0x7fd8, 0xf9b9, 0x7fc2, 0xf827, 0x7fa7, 0xf696, 0x7f87, 0xf505,
+  0x7f62, 0xf375, 0x7f38, 0xf1e5, 0x7f09, 0xf055, 0x7ed5, 0xeec7,
+  0x7e9d, 0xed38, 0x7e5f, 0xebab, 0x7e1d, 0xea1e, 0x7dd6, 0xe893,
+  0x7d8a, 0xe708, 0x7d39, 0xe57e, 0x7ce3, 0xe3f5, 0x7c89, 0xe26d,
+  0x7c29, 0xe0e7, 0x7bc5, 0xdf61, 0x7b5d, 0xdddd, 0x7aef, 0xdc5a,
+  0x7a7d, 0xdad8, 0x7a05, 0xd958, 0x798a, 0xd7da, 0x7909, 0xd65d,
+  0x7884, 0xd4e1, 0x77fa, 0xd368, 0x776c, 0xd1ef, 0x76d9, 0xd079,
+  0x7641, 0xcf05, 0x75a5, 0xcd92, 0x7504, 0xcc22, 0x745f, 0xcab3,
+  0x73b5, 0xc946, 0x7307, 0xc7dc, 0x7255, 0xc674, 0x719e, 0xc50e,
+  0x70e2, 0xc3aa, 0x7023, 0xc248, 0x6f5f, 0xc0e9, 0x6e96, 0xbf8d,
+  0x6dca, 0xbe32, 0x6cf9, 0xbcdb, 0x6c24, 0xbb86, 0x6b4a, 0xba33,
+  0x6a6d, 0xb8e4, 0x698c, 0xb797, 0x68a6, 0xb64c, 0x67bd, 0xb505,
+  0x66cf, 0xb3c1, 0x65dd, 0xb27f, 0x64e8, 0xb141, 0x63ef, 0xb005,
+  0x62f2, 0xaecd, 0x61f1, 0xad97, 0x60ec, 0xac65, 0x5fe3, 0xab36,
+  0x5ed7, 0xaa0b, 0x5dc7, 0xa8e3, 0x5cb4, 0xa7be, 0x5b9d, 0xa69c,
+  0x5a82, 0xa57e, 0x5964, 0xa463, 0x5842, 0xa34c, 0x571d, 0xa239,
+  0x55f5, 0xa129, 0x54ca, 0xa01d, 0x539b, 0x9f14, 0x5269, 0x9e0f,
+  0x5133, 0x9d0e, 0x4ffb, 0x9c11, 0x4ebf, 0x9b18, 0x4d81, 0x9a23,
+  0x4c3f, 0x9931, 0x4afb, 0x9843, 0x49b4, 0x975a, 0x4869, 0x9674,
+  0x471c, 0x9593, 0x45cd, 0x94b6, 0x447a, 0x93dc, 0x4325, 0x9307,
+  0x41ce, 0x9236, 0x4073, 0x916a, 0x3f17, 0x90a1, 0x3db8, 0x8fdd,
+  0x3c56, 0x8f1e, 0x3af2, 0x8e62, 0x398c, 0x8dab, 0x3824, 0x8cf9,
+  0x36ba, 0x8c4b, 0x354d, 0x8ba1, 0x33de, 0x8afc, 0x326e, 0x8a5b,
+  0x30fb, 0x89bf, 0x2f87, 0x8927, 0x2e11, 0x8894, 0x2c98, 0x8806,
+  0x2b1f, 0x877c, 0x29a3, 0x86f7, 0x2826, 0x8676, 0x26a8, 0x85fb,
+  0x2528, 0x8583, 0x23a6, 0x8511, 0x2223, 0x84a3, 0x209f, 0x843b,
+  0x1f19, 0x83d7, 0x1d93, 0x8377, 0x1c0b, 0x831d, 0x1a82, 0x82c7,
+  0x18f8, 0x8276, 0x176d, 0x822a, 0x15e2, 0x81e3, 0x1455, 0x81a1,
+  0x12c8, 0x8163, 0x1139, 0x812b, 0xfab, 0x80f7, 0xe1b, 0x80c8,
+  0xc8b, 0x809e, 0xafb, 0x8079, 0x96a, 0x8059, 0x7d9, 0x803e,
+  0x647, 0x8028, 0x4b6, 0x8017, 0x324, 0x800a, 0x192, 0x8003,
+};
+
+static const q15_t ALIGN4 WeightsQ15_512[1024] = {
+  0x7fff, 0x0, 0x7fff, 0xff9c, 0x7fff, 0xff37, 0x7ffe, 0xfed3,
+  0x7ffd, 0xfe6e, 0x7ffc, 0xfe0a, 0x7ffa, 0xfda5, 0x7ff8, 0xfd41,
+  0x7ff6, 0xfcdc, 0x7ff3, 0xfc78, 0x7ff0, 0xfc13, 0x7fed, 0xfbaf,
+  0x7fe9, 0xfb4a, 0x7fe5, 0xfae6, 0x7fe1, 0xfa81, 0x7fdd, 0xfa1d,
+  0x7fd8, 0xf9b9, 0x7fd3, 0xf954, 0x7fce, 0xf8f0, 0x7fc8, 0xf88b,
+  0x7fc2, 0xf827, 0x7fbc, 0xf7c3, 0x7fb5, 0xf75e, 0x7fae, 0xf6fa,
+  0x7fa7, 0xf696, 0x7f9f, 0xf632, 0x7f97, 0xf5cd, 0x7f8f, 0xf569,
+  0x7f87, 0xf505, 0x7f7e, 0xf4a1, 0x7f75, 0xf43d, 0x7f6b, 0xf3d9,
+  0x7f62, 0xf375, 0x7f58, 0xf311, 0x7f4d, 0xf2ad, 0x7f43, 0xf249,
+  0x7f38, 0xf1e5, 0x7f2d, 0xf181, 0x7f21, 0xf11d, 0x7f15, 0xf0b9,
+  0x7f09, 0xf055, 0x7efd, 0xeff2, 0x7ef0, 0xef8e, 0x7ee3, 0xef2a,
+  0x7ed5, 0xeec7, 0x7ec8, 0xee63, 0x7eba, 0xedff, 0x7eab, 0xed9c,
+  0x7e9d, 0xed38, 0x7e8e, 0xecd5, 0x7e7f, 0xec72, 0x7e6f, 0xec0e,
+  0x7e5f, 0xebab, 0x7e4f, 0xeb48, 0x7e3f, 0xeae5, 0x7e2e, 0xea81,
+  0x7e1d, 0xea1e, 0x7e0c, 0xe9bb, 0x7dfa, 0xe958, 0x7de8, 0xe8f6,
+  0x7dd6, 0xe893, 0x7dc3, 0xe830, 0x7db0, 0xe7cd, 0x7d9d, 0xe76a,
+  0x7d8a, 0xe708, 0x7d76, 0xe6a5, 0x7d62, 0xe643, 0x7d4e, 0xe5e0,
+  0x7d39, 0xe57e, 0x7d24, 0xe51c, 0x7d0f, 0xe4b9, 0x7cf9, 0xe457,
+  0x7ce3, 0xe3f5, 0x7ccd, 0xe393, 0x7cb7, 0xe331, 0x7ca0, 0xe2cf,
+  0x7c89, 0xe26d, 0x7c71, 0xe20b, 0x7c5a, 0xe1aa, 0x7c42, 0xe148,
+  0x7c29, 0xe0e7, 0x7c11, 0xe085, 0x7bf8, 0xe024, 0x7bdf, 0xdfc2,
+  0x7bc5, 0xdf61, 0x7bac, 0xdf00, 0x7b92, 0xde9f, 0x7b77, 0xde3e,
+  0x7b5d, 0xdddd, 0x7b42, 0xdd7c, 0x7b26, 0xdd1b, 0x7b0b, 0xdcbb,
+  0x7aef, 0xdc5a, 0x7ad3, 0xdbf9, 0x7ab6, 0xdb99, 0x7a9a, 0xdb39,
+  0x7a7d, 0xdad8, 0x7a5f, 0xda78, 0x7a42, 0xda18, 0x7a24, 0xd9b8,
+  0x7a05, 0xd958, 0x79e7, 0xd8f9, 0x79c8, 0xd899, 0x79a9, 0xd839,
+  0x798a, 0xd7da, 0x796a, 0xd77a, 0x794a, 0xd71b, 0x792a, 0xd6bc,
+  0x7909, 0xd65d, 0x78e8, 0xd5fe, 0x78c7, 0xd59f, 0x78a6, 0xd540,
+  0x7884, 0xd4e1, 0x7862, 0xd483, 0x7840, 0xd424, 0x781d, 0xd3c6,
+  0x77fa, 0xd368, 0x77d7, 0xd309, 0x77b4, 0xd2ab, 0x7790, 0xd24d,
+  0x776c, 0xd1ef, 0x7747, 0xd192, 0x7723, 0xd134, 0x76fe, 0xd0d7,
+  0x76d9, 0xd079, 0x76b3, 0xd01c, 0x768e, 0xcfbf, 0x7668, 0xcf62,
+  0x7641, 0xcf05, 0x761b, 0xcea8, 0x75f4, 0xce4b, 0x75cc, 0xcdef,
+  0x75a5, 0xcd92, 0x757d, 0xcd36, 0x7555, 0xccda, 0x752d, 0xcc7e,
+  0x7504, 0xcc22, 0x74db, 0xcbc6, 0x74b2, 0xcb6a, 0x7489, 0xcb0e,
+  0x745f, 0xcab3, 0x7435, 0xca58, 0x740b, 0xc9fc, 0x73e0, 0xc9a1,
+  0x73b5, 0xc946, 0x738a, 0xc8ec, 0x735f, 0xc891, 0x7333, 0xc836,
+  0x7307, 0xc7dc, 0x72db, 0xc782, 0x72af, 0xc728, 0x7282, 0xc6ce,
+  0x7255, 0xc674, 0x7227, 0xc61a, 0x71fa, 0xc5c0, 0x71cc, 0xc567,
+  0x719e, 0xc50e, 0x716f, 0xc4b4, 0x7141, 0xc45b, 0x7112, 0xc403,
+  0x70e2, 0xc3aa, 0x70b3, 0xc351, 0x7083, 0xc2f9, 0x7053, 0xc2a0,
+  0x7023, 0xc248, 0x6ff2, 0xc1f0, 0x6fc1, 0xc198, 0x6f90, 0xc141,
+  0x6f5f, 0xc0e9, 0x6f2d, 0xc092, 0x6efb, 0xc03b, 0x6ec9, 0xbfe3,
+  0x6e96, 0xbf8d, 0x6e63, 0xbf36, 0x6e30, 0xbedf, 0x6dfd, 0xbe89,
+  0x6dca, 0xbe32, 0x6d96, 0xbddc, 0x6d62, 0xbd86, 0x6d2d, 0xbd30,
+  0x6cf9, 0xbcdb, 0x6cc4, 0xbc85, 0x6c8f, 0xbc30, 0x6c59, 0xbbdb,
+  0x6c24, 0xbb86, 0x6bee, 0xbb31, 0x6bb8, 0xbadc, 0x6b81, 0xba88,
+  0x6b4a, 0xba33, 0x6b13, 0xb9df, 0x6adc, 0xb98b, 0x6aa5, 0xb937,
+  0x6a6d, 0xb8e4, 0x6a35, 0xb890, 0x69fd, 0xb83d, 0x69c4, 0xb7ea,
+  0x698c, 0xb797, 0x6953, 0xb744, 0x6919, 0xb6f1, 0x68e0, 0xb69f,
+  0x68a6, 0xb64c, 0x686c, 0xb5fa, 0x6832, 0xb5a8, 0x67f7, 0xb557,
+  0x67bd, 0xb505, 0x6782, 0xb4b4, 0x6746, 0xb462, 0x670b, 0xb411,
+  0x66cf, 0xb3c1, 0x6693, 0xb370, 0x6657, 0xb31f, 0x661a, 0xb2cf,
+  0x65dd, 0xb27f, 0x65a0, 0xb22f, 0x6563, 0xb1df, 0x6526, 0xb190,
+  0x64e8, 0xb141, 0x64aa, 0xb0f1, 0x646c, 0xb0a2, 0x642d, 0xb054,
+  0x63ef, 0xb005, 0x63b0, 0xafb7, 0x6371, 0xaf69, 0x6331, 0xaf1b,
+  0x62f2, 0xaecd, 0x62b2, 0xae7f, 0x6271, 0xae32, 0x6231, 0xade4,
+  0x61f1, 0xad97, 0x61b0, 0xad4b, 0x616f, 0xacfe, 0x612d, 0xacb2,
+  0x60ec, 0xac65, 0x60aa, 0xac19, 0x6068, 0xabcd, 0x6026, 0xab82,
+  0x5fe3, 0xab36, 0x5fa0, 0xaaeb, 0x5f5e, 0xaaa0, 0x5f1a, 0xaa55,
+  0x5ed7, 0xaa0b, 0x5e93, 0xa9c0, 0x5e50, 0xa976, 0x5e0b, 0xa92c,
+  0x5dc7, 0xa8e3, 0x5d83, 0xa899, 0x5d3e, 0xa850, 0x5cf9, 0xa807,
+  0x5cb4, 0xa7be, 0x5c6e, 0xa775, 0x5c29, 0xa72c, 0x5be3, 0xa6e4,
+  0x5b9d, 0xa69c, 0x5b56, 0xa654, 0x5b10, 0xa60d, 0x5ac9, 0xa5c5,
+  0x5a82, 0xa57e, 0x5a3b, 0xa537, 0x59f3, 0xa4f0, 0x59ac, 0xa4aa,
+  0x5964, 0xa463, 0x591c, 0xa41d, 0x58d4, 0xa3d7, 0x588b, 0xa392,
+  0x5842, 0xa34c, 0x57f9, 0xa307, 0x57b0, 0xa2c2, 0x5767, 0xa27d,
+  0x571d, 0xa239, 0x56d4, 0xa1f5, 0x568a, 0xa1b0, 0x5640, 0xa16d,
+  0x55f5, 0xa129, 0x55ab, 0xa0e6, 0x5560, 0xa0a2, 0x5515, 0xa060,
+  0x54ca, 0xa01d, 0x547e, 0x9fda, 0x5433, 0x9f98, 0x53e7, 0x9f56,
+  0x539b, 0x9f14, 0x534e, 0x9ed3, 0x5302, 0x9e91, 0x52b5, 0x9e50,
+  0x5269, 0x9e0f, 0x521c, 0x9dcf, 0x51ce, 0x9d8f, 0x5181, 0x9d4e,
+  0x5133, 0x9d0e, 0x50e5, 0x9ccf, 0x5097, 0x9c8f, 0x5049, 0x9c50,
+  0x4ffb, 0x9c11, 0x4fac, 0x9bd3, 0x4f5e, 0x9b94, 0x4f0f, 0x9b56,
+  0x4ebf, 0x9b18, 0x4e70, 0x9ada, 0x4e21, 0x9a9d, 0x4dd1, 0x9a60,
+  0x4d81, 0x9a23, 0x4d31, 0x99e6, 0x4ce1, 0x99a9, 0x4c90, 0x996d,
+  0x4c3f, 0x9931, 0x4bef, 0x98f5, 0x4b9e, 0x98ba, 0x4b4c, 0x987e,
+  0x4afb, 0x9843, 0x4aa9, 0x9809, 0x4a58, 0x97ce, 0x4a06, 0x9794,
+  0x49b4, 0x975a, 0x4961, 0x9720, 0x490f, 0x96e7, 0x48bc, 0x96ad,
+  0x4869, 0x9674, 0x4816, 0x963c, 0x47c3, 0x9603, 0x4770, 0x95cb,
+  0x471c, 0x9593, 0x46c9, 0x955b, 0x4675, 0x9524, 0x4621, 0x94ed,
+  0x45cd, 0x94b6, 0x4578, 0x947f, 0x4524, 0x9448, 0x44cf, 0x9412,
+  0x447a, 0x93dc, 0x4425, 0x93a7, 0x43d0, 0x9371, 0x437b, 0x933c,
+  0x4325, 0x9307, 0x42d0, 0x92d3, 0x427a, 0x929e, 0x4224, 0x926a,
+  0x41ce, 0x9236, 0x4177, 0x9203, 0x4121, 0x91d0, 0x40ca, 0x919d,
+  0x4073, 0x916a, 0x401d, 0x9137, 0x3fc5, 0x9105, 0x3f6e, 0x90d3,
+  0x3f17, 0x90a1, 0x3ebf, 0x9070, 0x3e68, 0x903f, 0x3e10, 0x900e,
+  0x3db8, 0x8fdd, 0x3d60, 0x8fad, 0x3d07, 0x8f7d, 0x3caf, 0x8f4d,
+  0x3c56, 0x8f1e, 0x3bfd, 0x8eee, 0x3ba5, 0x8ebf, 0x3b4c, 0x8e91,
+  0x3af2, 0x8e62, 0x3a99, 0x8e34, 0x3a40, 0x8e06, 0x39e6, 0x8dd9,
+  0x398c, 0x8dab, 0x3932, 0x8d7e, 0x38d8, 0x8d51, 0x387e, 0x8d25,
+  0x3824, 0x8cf9, 0x37ca, 0x8ccd, 0x376f, 0x8ca1, 0x3714, 0x8c76,
+  0x36ba, 0x8c4b, 0x365f, 0x8c20, 0x3604, 0x8bf5, 0x35a8, 0x8bcb,
+  0x354d, 0x8ba1, 0x34f2, 0x8b77, 0x3496, 0x8b4e, 0x343a, 0x8b25,
+  0x33de, 0x8afc, 0x3382, 0x8ad3, 0x3326, 0x8aab, 0x32ca, 0x8a83,
+  0x326e, 0x8a5b, 0x3211, 0x8a34, 0x31b5, 0x8a0c, 0x3158, 0x89e5,
+  0x30fb, 0x89bf, 0x309e, 0x8998, 0x3041, 0x8972, 0x2fe4, 0x894d,
+  0x2f87, 0x8927, 0x2f29, 0x8902, 0x2ecc, 0x88dd, 0x2e6e, 0x88b9,
+  0x2e11, 0x8894, 0x2db3, 0x8870, 0x2d55, 0x884c, 0x2cf7, 0x8829,
+  0x2c98, 0x8806, 0x2c3a, 0x87e3, 0x2bdc, 0x87c0, 0x2b7d, 0x879e,
+  0x2b1f, 0x877c, 0x2ac0, 0x875a, 0x2a61, 0x8739, 0x2a02, 0x8718,
+  0x29a3, 0x86f7, 0x2944, 0x86d6, 0x28e5, 0x86b6, 0x2886, 0x8696,
+  0x2826, 0x8676, 0x27c7, 0x8657, 0x2767, 0x8638, 0x2707, 0x8619,
+  0x26a8, 0x85fb, 0x2648, 0x85dc, 0x25e8, 0x85be, 0x2588, 0x85a1,
+  0x2528, 0x8583, 0x24c7, 0x8566, 0x2467, 0x854a, 0x2407, 0x852d,
+  0x23a6, 0x8511, 0x2345, 0x84f5, 0x22e5, 0x84da, 0x2284, 0x84be,
+  0x2223, 0x84a3, 0x21c2, 0x8489, 0x2161, 0x846e, 0x2100, 0x8454,
+  0x209f, 0x843b, 0x203e, 0x8421, 0x1fdc, 0x8408, 0x1f7b, 0x83ef,
+  0x1f19, 0x83d7, 0x1eb8, 0x83be, 0x1e56, 0x83a6, 0x1df5, 0x838f,
+  0x1d93, 0x8377, 0x1d31, 0x8360, 0x1ccf, 0x8349, 0x1c6d, 0x8333,
+  0x1c0b, 0x831d, 0x1ba9, 0x8307, 0x1b47, 0x82f1, 0x1ae4, 0x82dc,
+  0x1a82, 0x82c7, 0x1a20, 0x82b2, 0x19bd, 0x829e, 0x195b, 0x828a,
+  0x18f8, 0x8276, 0x1896, 0x8263, 0x1833, 0x8250, 0x17d0, 0x823d,
+  0x176d, 0x822a, 0x170a, 0x8218, 0x16a8, 0x8206, 0x1645, 0x81f4,
+  0x15e2, 0x81e3, 0x157f, 0x81d2, 0x151b, 0x81c1, 0x14b8, 0x81b1,
+  0x1455, 0x81a1, 0x13f2, 0x8191, 0x138e, 0x8181, 0x132b, 0x8172,
+  0x12c8, 0x8163, 0x1264, 0x8155, 0x1201, 0x8146, 0x119d, 0x8138,
+  0x1139, 0x812b, 0x10d6, 0x811d, 0x1072, 0x8110, 0x100e, 0x8103,
+  0xfab, 0x80f7, 0xf47, 0x80eb, 0xee3, 0x80df, 0xe7f, 0x80d3,
+  0xe1b, 0x80c8, 0xdb7, 0x80bd, 0xd53, 0x80b3, 0xcef, 0x80a8,
+  0xc8b, 0x809e, 0xc27, 0x8095, 0xbc3, 0x808b, 0xb5f, 0x8082,
+  0xafb, 0x8079, 0xa97, 0x8071, 0xa33, 0x8069, 0x9ce, 0x8061,
+  0x96a, 0x8059, 0x906, 0x8052, 0x8a2, 0x804b, 0x83d, 0x8044,
+  0x7d9, 0x803e, 0x775, 0x8038, 0x710, 0x8032, 0x6ac, 0x802d,
+  0x647, 0x8028, 0x5e3, 0x8023, 0x57f, 0x801f, 0x51a, 0x801b,
+  0x4b6, 0x8017, 0x451, 0x8013, 0x3ed, 0x8010, 0x388, 0x800d,
+  0x324, 0x800a, 0x2bf, 0x8008, 0x25b, 0x8006, 0x1f6, 0x8004,
+  0x192, 0x8003, 0x12d, 0x8002, 0xc9, 0x8001, 0x64, 0x8001,
+};
+
+static const q15_t ALIGN4 WeightsQ15_2048[4096] = {
+  0x7fff, 0x0, 0x7fff, 0xffe7, 0x7fff, 0xffce, 0x7fff, 0xffb5,
+  0x7fff, 0xff9c, 0x7fff, 0xff83, 0x7fff, 0xff6a, 0x7fff, 0xff51,
+  0x7fff, 0xff37, 0x7fff, 0xff1e, 0x7fff, 0xff05, 0x7ffe, 0xfeec,
+  0x7ffe, 0xfed3, 0x7ffe, 0xfeba, 0x7ffe, 0xfea1, 0x7ffd, 0xfe88,
+  0x7ffd, 0xfe6e, 0x7ffd, 0xfe55, 0x7ffc, 0xfe3c, 0x7ffc, 0xfe23,
+  0x7ffc, 0xfe0a, 0x7ffb, 0xfdf1, 0x7ffb, 0xfdd8, 0x7ffa, 0xfdbe,
+  0x7ffa, 0xfda5, 0x7ff9, 0xfd8c, 0x7ff9, 0xfd73, 0x7ff8, 0xfd5a,
+  0x7ff8, 0xfd41, 0x7ff7, 0xfd28, 0x7ff7, 0xfd0f, 0x7ff6, 0xfcf5,
+  0x7ff6, 0xfcdc, 0x7ff5, 0xfcc3, 0x7ff4, 0xfcaa, 0x7ff4, 0xfc91,
+  0x7ff3, 0xfc78, 0x7ff2, 0xfc5f, 0x7ff2, 0xfc46, 0x7ff1, 0xfc2c,
+  0x7ff0, 0xfc13, 0x7fef, 0xfbfa, 0x7fee, 0xfbe1, 0x7fee, 0xfbc8,
+  0x7fed, 0xfbaf, 0x7fec, 0xfb96, 0x7feb, 0xfb7d, 0x7fea, 0xfb64,
+  0x7fe9, 0xfb4a, 0x7fe8, 0xfb31, 0x7fe7, 0xfb18, 0x7fe6, 0xfaff,
+  0x7fe5, 0xfae6, 0x7fe4, 0xfacd, 0x7fe3, 0xfab4, 0x7fe2, 0xfa9b,
+  0x7fe1, 0xfa81, 0x7fe0, 0xfa68, 0x7fdf, 0xfa4f, 0x7fde, 0xfa36,
+  0x7fdd, 0xfa1d, 0x7fdc, 0xfa04, 0x7fda, 0xf9eb, 0x7fd9, 0xf9d2,
+  0x7fd8, 0xf9b9, 0x7fd7, 0xf9a0, 0x7fd6, 0xf986, 0x7fd4, 0xf96d,
+  0x7fd3, 0xf954, 0x7fd2, 0xf93b, 0x7fd0, 0xf922, 0x7fcf, 0xf909,
+  0x7fce, 0xf8f0, 0x7fcc, 0xf8d7, 0x7fcb, 0xf8be, 0x7fc9, 0xf8a5,
+  0x7fc8, 0xf88b, 0x7fc6, 0xf872, 0x7fc5, 0xf859, 0x7fc3, 0xf840,
+  0x7fc2, 0xf827, 0x7fc0, 0xf80e, 0x7fbf, 0xf7f5, 0x7fbd, 0xf7dc,
+  0x7fbc, 0xf7c3, 0x7fba, 0xf7aa, 0x7fb8, 0xf791, 0x7fb7, 0xf778,
+  0x7fb5, 0xf75e, 0x7fb3, 0xf745, 0x7fb1, 0xf72c, 0x7fb0, 0xf713,
+  0x7fae, 0xf6fa, 0x7fac, 0xf6e1, 0x7faa, 0xf6c8, 0x7fa9, 0xf6af,
+  0x7fa7, 0xf696, 0x7fa5, 0xf67d, 0x7fa3, 0xf664, 0x7fa1, 0xf64b,
+  0x7f9f, 0xf632, 0x7f9d, 0xf619, 0x7f9b, 0xf600, 0x7f99, 0xf5e7,
+  0x7f97, 0xf5cd, 0x7f95, 0xf5b4, 0x7f93, 0xf59b, 0x7f91, 0xf582,
+  0x7f8f, 0xf569, 0x7f8d, 0xf550, 0x7f8b, 0xf537, 0x7f89, 0xf51e,
+  0x7f87, 0xf505, 0x7f85, 0xf4ec, 0x7f82, 0xf4d3, 0x7f80, 0xf4ba,
+  0x7f7e, 0xf4a1, 0x7f7c, 0xf488, 0x7f79, 0xf46f, 0x7f77, 0xf456,
+  0x7f75, 0xf43d, 0x7f72, 0xf424, 0x7f70, 0xf40b, 0x7f6e, 0xf3f2,
+  0x7f6b, 0xf3d9, 0x7f69, 0xf3c0, 0x7f67, 0xf3a7, 0x7f64, 0xf38e,
+  0x7f62, 0xf375, 0x7f5f, 0xf35c, 0x7f5d, 0xf343, 0x7f5a, 0xf32a,
+  0x7f58, 0xf311, 0x7f55, 0xf2f8, 0x7f53, 0xf2df, 0x7f50, 0xf2c6,
+  0x7f4d, 0xf2ad, 0x7f4b, 0xf294, 0x7f48, 0xf27b, 0x7f45, 0xf262,
+  0x7f43, 0xf249, 0x7f40, 0xf230, 0x7f3d, 0xf217, 0x7f3b, 0xf1fe,
+  0x7f38, 0xf1e5, 0x7f35, 0xf1cc, 0x7f32, 0xf1b3, 0x7f2f, 0xf19a,
+  0x7f2d, 0xf181, 0x7f2a, 0xf168, 0x7f27, 0xf14f, 0x7f24, 0xf136,
+  0x7f21, 0xf11d, 0x7f1e, 0xf104, 0x7f1b, 0xf0eb, 0x7f18, 0xf0d2,
+  0x7f15, 0xf0b9, 0x7f12, 0xf0a0, 0x7f0f, 0xf087, 0x7f0c, 0xf06e,
+  0x7f09, 0xf055, 0x7f06, 0xf03c, 0x7f03, 0xf023, 0x7f00, 0xf00b,
+  0x7efd, 0xeff2, 0x7ef9, 0xefd9, 0x7ef6, 0xefc0, 0x7ef3, 0xefa7,
+  0x7ef0, 0xef8e, 0x7eed, 0xef75, 0x7ee9, 0xef5c, 0x7ee6, 0xef43,
+  0x7ee3, 0xef2a, 0x7edf, 0xef11, 0x7edc, 0xeef8, 0x7ed9, 0xeedf,
+  0x7ed5, 0xeec7, 0x7ed2, 0xeeae, 0x7ecf, 0xee95, 0x7ecb, 0xee7c,
+  0x7ec8, 0xee63, 0x7ec4, 0xee4a, 0x7ec1, 0xee31, 0x7ebd, 0xee18,
+  0x7eba, 0xedff, 0x7eb6, 0xede7, 0x7eb3, 0xedce, 0x7eaf, 0xedb5,
+  0x7eab, 0xed9c, 0x7ea8, 0xed83, 0x7ea4, 0xed6a, 0x7ea1, 0xed51,
+  0x7e9d, 0xed38, 0x7e99, 0xed20, 0x7e95, 0xed07, 0x7e92, 0xecee,
+  0x7e8e, 0xecd5, 0x7e8a, 0xecbc, 0x7e86, 0xeca3, 0x7e83, 0xec8a,
+  0x7e7f, 0xec72, 0x7e7b, 0xec59, 0x7e77, 0xec40, 0x7e73, 0xec27,
+  0x7e6f, 0xec0e, 0x7e6b, 0xebf5, 0x7e67, 0xebdd, 0x7e63, 0xebc4,
+  0x7e5f, 0xebab, 0x7e5b, 0xeb92, 0x7e57, 0xeb79, 0x7e53, 0xeb61,
+  0x7e4f, 0xeb48, 0x7e4b, 0xeb2f, 0x7e47, 0xeb16, 0x7e43, 0xeafd,
+  0x7e3f, 0xeae5, 0x7e3b, 0xeacc, 0x7e37, 0xeab3, 0x7e32, 0xea9a,
+  0x7e2e, 0xea81, 0x7e2a, 0xea69, 0x7e26, 0xea50, 0x7e21, 0xea37,
+  0x7e1d, 0xea1e, 0x7e19, 0xea06, 0x7e14, 0xe9ed, 0x7e10, 0xe9d4,
+  0x7e0c, 0xe9bb, 0x7e07, 0xe9a3, 0x7e03, 0xe98a, 0x7dff, 0xe971,
+  0x7dfa, 0xe958, 0x7df6, 0xe940, 0x7df1, 0xe927, 0x7ded, 0xe90e,
+  0x7de8, 0xe8f6, 0x7de4, 0xe8dd, 0x7ddf, 0xe8c4, 0x7dda, 0xe8ab,
+  0x7dd6, 0xe893, 0x7dd1, 0xe87a, 0x7dcd, 0xe861, 0x7dc8, 0xe849,
+  0x7dc3, 0xe830, 0x7dbf, 0xe817, 0x7dba, 0xe7fe, 0x7db5, 0xe7e6,
+  0x7db0, 0xe7cd, 0x7dac, 0xe7b4, 0x7da7, 0xe79c, 0x7da2, 0xe783,
+  0x7d9d, 0xe76a, 0x7d98, 0xe752, 0x7d94, 0xe739, 0x7d8f, 0xe720,
+  0x7d8a, 0xe708, 0x7d85, 0xe6ef, 0x7d80, 0xe6d6, 0x7d7b, 0xe6be,
+  0x7d76, 0xe6a5, 0x7d71, 0xe68d, 0x7d6c, 0xe674, 0x7d67, 0xe65b,
+  0x7d62, 0xe643, 0x7d5d, 0xe62a, 0x7d58, 0xe611, 0x7d53, 0xe5f9,
+  0x7d4e, 0xe5e0, 0x7d49, 0xe5c8, 0x7d43, 0xe5af, 0x7d3e, 0xe596,
+  0x7d39, 0xe57e, 0x7d34, 0xe565, 0x7d2f, 0xe54d, 0x7d29, 0xe534,
+  0x7d24, 0xe51c, 0x7d1f, 0xe503, 0x7d19, 0xe4ea, 0x7d14, 0xe4d2,
+  0x7d0f, 0xe4b9, 0x7d09, 0xe4a1, 0x7d04, 0xe488, 0x7cff, 0xe470,
+  0x7cf9, 0xe457, 0x7cf4, 0xe43f, 0x7cee, 0xe426, 0x7ce9, 0xe40e,
+  0x7ce3, 0xe3f5, 0x7cde, 0xe3dc, 0x7cd8, 0xe3c4, 0x7cd3, 0xe3ab,
+  0x7ccd, 0xe393, 0x7cc8, 0xe37a, 0x7cc2, 0xe362, 0x7cbc, 0xe349,
+  0x7cb7, 0xe331, 0x7cb1, 0xe318, 0x7cab, 0xe300, 0x7ca6, 0xe2e8,
+  0x7ca0, 0xe2cf, 0x7c9a, 0xe2b7, 0x7c94, 0xe29e, 0x7c8f, 0xe286,
+  0x7c89, 0xe26d, 0x7c83, 0xe255, 0x7c7d, 0xe23c, 0x7c77, 0xe224,
+  0x7c71, 0xe20b, 0x7c6c, 0xe1f3, 0x7c66, 0xe1db, 0x7c60, 0xe1c2,
+  0x7c5a, 0xe1aa, 0x7c54, 0xe191, 0x7c4e, 0xe179, 0x7c48, 0xe160,
+  0x7c42, 0xe148, 0x7c3c, 0xe130, 0x7c36, 0xe117, 0x7c30, 0xe0ff,
+  0x7c29, 0xe0e7, 0x7c23, 0xe0ce, 0x7c1d, 0xe0b6, 0x7c17, 0xe09d,
+  0x7c11, 0xe085, 0x7c0b, 0xe06d, 0x7c05, 0xe054, 0x7bfe, 0xe03c,
+  0x7bf8, 0xe024, 0x7bf2, 0xe00b, 0x7beb, 0xdff3, 0x7be5, 0xdfdb,
+  0x7bdf, 0xdfc2, 0x7bd9, 0xdfaa, 0x7bd2, 0xdf92, 0x7bcc, 0xdf79,
+  0x7bc5, 0xdf61, 0x7bbf, 0xdf49, 0x7bb9, 0xdf30, 0x7bb2, 0xdf18,
+  0x7bac, 0xdf00, 0x7ba5, 0xdee8, 0x7b9f, 0xdecf, 0x7b98, 0xdeb7,
+  0x7b92, 0xde9f, 0x7b8b, 0xde87, 0x7b84, 0xde6e, 0x7b7e, 0xde56,
+  0x7b77, 0xde3e, 0x7b71, 0xde26, 0x7b6a, 0xde0d, 0x7b63, 0xddf5,
+  0x7b5d, 0xdddd, 0x7b56, 0xddc5, 0x7b4f, 0xddac, 0x7b48, 0xdd94,
+  0x7b42, 0xdd7c, 0x7b3b, 0xdd64, 0x7b34, 0xdd4c, 0x7b2d, 0xdd33,
+  0x7b26, 0xdd1b, 0x7b1f, 0xdd03, 0x7b19, 0xdceb, 0x7b12, 0xdcd3,
+  0x7b0b, 0xdcbb, 0x7b04, 0xdca2, 0x7afd, 0xdc8a, 0x7af6, 0xdc72,
+  0x7aef, 0xdc5a, 0x7ae8, 0xdc42, 0x7ae1, 0xdc2a, 0x7ada, 0xdc12,
+  0x7ad3, 0xdbf9, 0x7acc, 0xdbe1, 0x7ac5, 0xdbc9, 0x7abd, 0xdbb1,
+  0x7ab6, 0xdb99, 0x7aaf, 0xdb81, 0x7aa8, 0xdb69, 0x7aa1, 0xdb51,
+  0x7a9a, 0xdb39, 0x7a92, 0xdb21, 0x7a8b, 0xdb09, 0x7a84, 0xdaf1,
+  0x7a7d, 0xdad8, 0x7a75, 0xdac0, 0x7a6e, 0xdaa8, 0x7a67, 0xda90,
+  0x7a5f, 0xda78, 0x7a58, 0xda60, 0x7a50, 0xda48, 0x7a49, 0xda30,
+  0x7a42, 0xda18, 0x7a3a, 0xda00, 0x7a33, 0xd9e8, 0x7a2b, 0xd9d0,
+  0x7a24, 0xd9b8, 0x7a1c, 0xd9a0, 0x7a15, 0xd988, 0x7a0d, 0xd970,
+  0x7a05, 0xd958, 0x79fe, 0xd940, 0x79f6, 0xd928, 0x79ef, 0xd911,
+  0x79e7, 0xd8f9, 0x79df, 0xd8e1, 0x79d8, 0xd8c9, 0x79d0, 0xd8b1,
+  0x79c8, 0xd899, 0x79c0, 0xd881, 0x79b9, 0xd869, 0x79b1, 0xd851,
+  0x79a9, 0xd839, 0x79a1, 0xd821, 0x7999, 0xd80a, 0x7992, 0xd7f2,
+  0x798a, 0xd7da, 0x7982, 0xd7c2, 0x797a, 0xd7aa, 0x7972, 0xd792,
+  0x796a, 0xd77a, 0x7962, 0xd763, 0x795a, 0xd74b, 0x7952, 0xd733,
+  0x794a, 0xd71b, 0x7942, 0xd703, 0x793a, 0xd6eb, 0x7932, 0xd6d4,
+  0x792a, 0xd6bc, 0x7922, 0xd6a4, 0x7919, 0xd68c, 0x7911, 0xd675,
+  0x7909, 0xd65d, 0x7901, 0xd645, 0x78f9, 0xd62d, 0x78f1, 0xd615,
+  0x78e8, 0xd5fe, 0x78e0, 0xd5e6, 0x78d8, 0xd5ce, 0x78cf, 0xd5b7,
+  0x78c7, 0xd59f, 0x78bf, 0xd587, 0x78b6, 0xd56f, 0x78ae, 0xd558,
+  0x78a6, 0xd540, 0x789d, 0xd528, 0x7895, 0xd511, 0x788c, 0xd4f9,
+  0x7884, 0xd4e1, 0x787c, 0xd4ca, 0x7873, 0xd4b2, 0x786b, 0xd49a,
+  0x7862, 0xd483, 0x7859, 0xd46b, 0x7851, 0xd453, 0x7848, 0xd43c,
+  0x7840, 0xd424, 0x7837, 0xd40d, 0x782e, 0xd3f5, 0x7826, 0xd3dd,
+  0x781d, 0xd3c6, 0x7814, 0xd3ae, 0x780c, 0xd397, 0x7803, 0xd37f,
+  0x77fa, 0xd368, 0x77f1, 0xd350, 0x77e9, 0xd338, 0x77e0, 0xd321,
+  0x77d7, 0xd309, 0x77ce, 0xd2f2, 0x77c5, 0xd2da, 0x77bc, 0xd2c3,
+  0x77b4, 0xd2ab, 0x77ab, 0xd294, 0x77a2, 0xd27c, 0x7799, 0xd265,
+  0x7790, 0xd24d, 0x7787, 0xd236, 0x777e, 0xd21e, 0x7775, 0xd207,
+  0x776c, 0xd1ef, 0x7763, 0xd1d8, 0x775a, 0xd1c1, 0x7751, 0xd1a9,
+  0x7747, 0xd192, 0x773e, 0xd17a, 0x7735, 0xd163, 0x772c, 0xd14b,
+  0x7723, 0xd134, 0x771a, 0xd11d, 0x7710, 0xd105, 0x7707, 0xd0ee,
+  0x76fe, 0xd0d7, 0x76f5, 0xd0bf, 0x76eb, 0xd0a8, 0x76e2, 0xd091,
+  0x76d9, 0xd079, 0x76cf, 0xd062, 0x76c6, 0xd04b, 0x76bd, 0xd033,
+  0x76b3, 0xd01c, 0x76aa, 0xd005, 0x76a0, 0xcfed, 0x7697, 0xcfd6,
+  0x768e, 0xcfbf, 0x7684, 0xcfa7, 0x767b, 0xcf90, 0x7671, 0xcf79,
+  0x7668, 0xcf62, 0x765e, 0xcf4a, 0x7654, 0xcf33, 0x764b, 0xcf1c,
+  0x7641, 0xcf05, 0x7638, 0xceee, 0x762e, 0xced6, 0x7624, 0xcebf,
+  0x761b, 0xcea8, 0x7611, 0xce91, 0x7607, 0xce7a, 0x75fd, 0xce62,
+  0x75f4, 0xce4b, 0x75ea, 0xce34, 0x75e0, 0xce1d, 0x75d6, 0xce06,
+  0x75cc, 0xcdef, 0x75c3, 0xcdd8, 0x75b9, 0xcdc0, 0x75af, 0xcda9,
+  0x75a5, 0xcd92, 0x759b, 0xcd7b, 0x7591, 0xcd64, 0x7587, 0xcd4d,
+  0x757d, 0xcd36, 0x7573, 0xcd1f, 0x7569, 0xcd08, 0x755f, 0xccf1,
+  0x7555, 0xccda, 0x754b, 0xccc3, 0x7541, 0xccac, 0x7537, 0xcc95,
+  0x752d, 0xcc7e, 0x7523, 0xcc67, 0x7519, 0xcc50, 0x750f, 0xcc39,
+  0x7504, 0xcc22, 0x74fa, 0xcc0b, 0x74f0, 0xcbf4, 0x74e6, 0xcbdd,
+  0x74db, 0xcbc6, 0x74d1, 0xcbaf, 0x74c7, 0xcb98, 0x74bd, 0xcb81,
+  0x74b2, 0xcb6a, 0x74a8, 0xcb53, 0x749e, 0xcb3c, 0x7493, 0xcb25,
+  0x7489, 0xcb0e, 0x747e, 0xcaf8, 0x7474, 0xcae1, 0x746a, 0xcaca,
+  0x745f, 0xcab3, 0x7455, 0xca9c, 0x744a, 0xca85, 0x7440, 0xca6e,
+  0x7435, 0xca58, 0x742b, 0xca41, 0x7420, 0xca2a, 0x7415, 0xca13,
+  0x740b, 0xc9fc, 0x7400, 0xc9e6, 0x73f6, 0xc9cf, 0x73eb, 0xc9b8,
+  0x73e0, 0xc9a1, 0x73d6, 0xc98b, 0x73cb, 0xc974, 0x73c0, 0xc95d,
+  0x73b5, 0xc946, 0x73ab, 0xc930, 0x73a0, 0xc919, 0x7395, 0xc902,
+  0x738a, 0xc8ec, 0x737f, 0xc8d5, 0x7375, 0xc8be, 0x736a, 0xc8a8,
+  0x735f, 0xc891, 0x7354, 0xc87a, 0x7349, 0xc864, 0x733e, 0xc84d,
+  0x7333, 0xc836, 0x7328, 0xc820, 0x731d, 0xc809, 0x7312, 0xc7f3,
+  0x7307, 0xc7dc, 0x72fc, 0xc7c5, 0x72f1, 0xc7af, 0x72e6, 0xc798,
+  0x72db, 0xc782, 0x72d0, 0xc76b, 0x72c5, 0xc755, 0x72ba, 0xc73e,
+  0x72af, 0xc728, 0x72a3, 0xc711, 0x7298, 0xc6fa, 0x728d, 0xc6e4,
+  0x7282, 0xc6ce, 0x7276, 0xc6b7, 0x726b, 0xc6a1, 0x7260, 0xc68a,
+  0x7255, 0xc674, 0x7249, 0xc65d, 0x723e, 0xc647, 0x7233, 0xc630,
+  0x7227, 0xc61a, 0x721c, 0xc603, 0x7211, 0xc5ed, 0x7205, 0xc5d7,
+  0x71fa, 0xc5c0, 0x71ee, 0xc5aa, 0x71e3, 0xc594, 0x71d7, 0xc57d,
+  0x71cc, 0xc567, 0x71c0, 0xc551, 0x71b5, 0xc53a, 0x71a9, 0xc524,
+  0x719e, 0xc50e, 0x7192, 0xc4f7, 0x7186, 0xc4e1, 0x717b, 0xc4cb,
+  0x716f, 0xc4b4, 0x7164, 0xc49e, 0x7158, 0xc488, 0x714c, 0xc472,
+  0x7141, 0xc45b, 0x7135, 0xc445, 0x7129, 0xc42f, 0x711d, 0xc419,
+  0x7112, 0xc403, 0x7106, 0xc3ec, 0x70fa, 0xc3d6, 0x70ee, 0xc3c0,
+  0x70e2, 0xc3aa, 0x70d6, 0xc394, 0x70cb, 0xc37d, 0x70bf, 0xc367,
+  0x70b3, 0xc351, 0x70a7, 0xc33b, 0x709b, 0xc325, 0x708f, 0xc30f,
+  0x7083, 0xc2f9, 0x7077, 0xc2e3, 0x706b, 0xc2cd, 0x705f, 0xc2b7,
+  0x7053, 0xc2a0, 0x7047, 0xc28a, 0x703b, 0xc274, 0x702f, 0xc25e,
+  0x7023, 0xc248, 0x7016, 0xc232, 0x700a, 0xc21c, 0x6ffe, 0xc206,
+  0x6ff2, 0xc1f0, 0x6fe6, 0xc1da, 0x6fda, 0xc1c4, 0x6fcd, 0xc1ae,
+  0x6fc1, 0xc198, 0x6fb5, 0xc183, 0x6fa9, 0xc16d, 0x6f9c, 0xc157,
+  0x6f90, 0xc141, 0x6f84, 0xc12b, 0x6f77, 0xc115, 0x6f6b, 0xc0ff,
+  0x6f5f, 0xc0e9, 0x6f52, 0xc0d3, 0x6f46, 0xc0bd, 0x6f39, 0xc0a8,
+  0x6f2d, 0xc092, 0x6f20, 0xc07c, 0x6f14, 0xc066, 0x6f07, 0xc050,
+  0x6efb, 0xc03b, 0x6eee, 0xc025, 0x6ee2, 0xc00f, 0x6ed5, 0xbff9,
+  0x6ec9, 0xbfe3, 0x6ebc, 0xbfce, 0x6eaf, 0xbfb8, 0x6ea3, 0xbfa2,
+  0x6e96, 0xbf8d, 0x6e89, 0xbf77, 0x6e7d, 0xbf61, 0x6e70, 0xbf4b,
+  0x6e63, 0xbf36, 0x6e57, 0xbf20, 0x6e4a, 0xbf0a, 0x6e3d, 0xbef5,
+  0x6e30, 0xbedf, 0x6e24, 0xbeca, 0x6e17, 0xbeb4, 0x6e0a, 0xbe9e,
+  0x6dfd, 0xbe89, 0x6df0, 0xbe73, 0x6de3, 0xbe5e, 0x6dd6, 0xbe48,
+  0x6dca, 0xbe32, 0x6dbd, 0xbe1d, 0x6db0, 0xbe07, 0x6da3, 0xbdf2,
+  0x6d96, 0xbddc, 0x6d89, 0xbdc7, 0x6d7c, 0xbdb1, 0x6d6f, 0xbd9c,
+  0x6d62, 0xbd86, 0x6d55, 0xbd71, 0x6d48, 0xbd5b, 0x6d3a, 0xbd46,
+  0x6d2d, 0xbd30, 0x6d20, 0xbd1b, 0x6d13, 0xbd06, 0x6d06, 0xbcf0,
+  0x6cf9, 0xbcdb, 0x6cec, 0xbcc5, 0x6cde, 0xbcb0, 0x6cd1, 0xbc9b,
+  0x6cc4, 0xbc85, 0x6cb7, 0xbc70, 0x6ca9, 0xbc5b, 0x6c9c, 0xbc45,
+  0x6c8f, 0xbc30, 0x6c81, 0xbc1b, 0x6c74, 0xbc05, 0x6c67, 0xbbf0,
+  0x6c59, 0xbbdb, 0x6c4c, 0xbbc5, 0x6c3f, 0xbbb0, 0x6c31, 0xbb9b,
+  0x6c24, 0xbb86, 0x6c16, 0xbb70, 0x6c09, 0xbb5b, 0x6bfb, 0xbb46,
+  0x6bee, 0xbb31, 0x6be0, 0xbb1c, 0x6bd3, 0xbb06, 0x6bc5, 0xbaf1,
+  0x6bb8, 0xbadc, 0x6baa, 0xbac7, 0x6b9c, 0xbab2, 0x6b8f, 0xba9d,
+  0x6b81, 0xba88, 0x6b73, 0xba73, 0x6b66, 0xba5d, 0x6b58, 0xba48,
+  0x6b4a, 0xba33, 0x6b3d, 0xba1e, 0x6b2f, 0xba09, 0x6b21, 0xb9f4,
+  0x6b13, 0xb9df, 0x6b06, 0xb9ca, 0x6af8, 0xb9b5, 0x6aea, 0xb9a0,
+  0x6adc, 0xb98b, 0x6ace, 0xb976, 0x6ac1, 0xb961, 0x6ab3, 0xb94c,
+  0x6aa5, 0xb937, 0x6a97, 0xb922, 0x6a89, 0xb90d, 0x6a7b, 0xb8f8,
+  0x6a6d, 0xb8e4, 0x6a5f, 0xb8cf, 0x6a51, 0xb8ba, 0x6a43, 0xb8a5,
+  0x6a35, 0xb890, 0x6a27, 0xb87b, 0x6a19, 0xb866, 0x6a0b, 0xb852,
+  0x69fd, 0xb83d, 0x69ef, 0xb828, 0x69e1, 0xb813, 0x69d3, 0xb7fe,
+  0x69c4, 0xb7ea, 0x69b6, 0xb7d5, 0x69a8, 0xb7c0, 0x699a, 0xb7ab,
+  0x698c, 0xb797, 0x697d, 0xb782, 0x696f, 0xb76d, 0x6961, 0xb758,
+  0x6953, 0xb744, 0x6944, 0xb72f, 0x6936, 0xb71a, 0x6928, 0xb706,
+  0x6919, 0xb6f1, 0x690b, 0xb6dd, 0x68fd, 0xb6c8, 0x68ee, 0xb6b3,
+  0x68e0, 0xb69f, 0x68d1, 0xb68a, 0x68c3, 0xb676, 0x68b5, 0xb661,
+  0x68a6, 0xb64c, 0x6898, 0xb638, 0x6889, 0xb623, 0x687b, 0xb60f,
+  0x686c, 0xb5fa, 0x685e, 0xb5e6, 0x684f, 0xb5d1, 0x6840, 0xb5bd,
+  0x6832, 0xb5a8, 0x6823, 0xb594, 0x6815, 0xb57f, 0x6806, 0xb56b,
+  0x67f7, 0xb557, 0x67e9, 0xb542, 0x67da, 0xb52e, 0x67cb, 0xb519,
+  0x67bd, 0xb505, 0x67ae, 0xb4f1, 0x679f, 0xb4dc, 0x6790, 0xb4c8,
+  0x6782, 0xb4b4, 0x6773, 0xb49f, 0x6764, 0xb48b, 0x6755, 0xb477,
+  0x6746, 0xb462, 0x6737, 0xb44e, 0x6729, 0xb43a, 0x671a, 0xb426,
+  0x670b, 0xb411, 0x66fc, 0xb3fd, 0x66ed, 0xb3e9, 0x66de, 0xb3d5,
+  0x66cf, 0xb3c1, 0x66c0, 0xb3ac, 0x66b1, 0xb398, 0x66a2, 0xb384,
+  0x6693, 0xb370, 0x6684, 0xb35c, 0x6675, 0xb348, 0x6666, 0xb334,
+  0x6657, 0xb31f, 0x6648, 0xb30b, 0x6639, 0xb2f7, 0x6629, 0xb2e3,
+  0x661a, 0xb2cf, 0x660b, 0xb2bb, 0x65fc, 0xb2a7, 0x65ed, 0xb293,
+  0x65dd, 0xb27f, 0x65ce, 0xb26b, 0x65bf, 0xb257, 0x65b0, 0xb243,
+  0x65a0, 0xb22f, 0x6591, 0xb21b, 0x6582, 0xb207, 0x6573, 0xb1f3,
+  0x6563, 0xb1df, 0x6554, 0xb1cc, 0x6545, 0xb1b8, 0x6535, 0xb1a4,
+  0x6526, 0xb190, 0x6516, 0xb17c, 0x6507, 0xb168, 0x64f7, 0xb154,
+  0x64e8, 0xb141, 0x64d9, 0xb12d, 0x64c9, 0xb119, 0x64ba, 0xb105,
+  0x64aa, 0xb0f1, 0x649b, 0xb0de, 0x648b, 0xb0ca, 0x647b, 0xb0b6,
+  0x646c, 0xb0a2, 0x645c, 0xb08f, 0x644d, 0xb07b, 0x643d, 0xb067,
+  0x642d, 0xb054, 0x641e, 0xb040, 0x640e, 0xb02c, 0x63fe, 0xb019,
+  0x63ef, 0xb005, 0x63df, 0xaff1, 0x63cf, 0xafde, 0x63c0, 0xafca,
+  0x63b0, 0xafb7, 0x63a0, 0xafa3, 0x6390, 0xaf90, 0x6380, 0xaf7c,
+  0x6371, 0xaf69, 0x6361, 0xaf55, 0x6351, 0xaf41, 0x6341, 0xaf2e,
+  0x6331, 0xaf1b, 0x6321, 0xaf07, 0x6311, 0xaef4, 0x6301, 0xaee0,
+  0x62f2, 0xaecd, 0x62e2, 0xaeb9, 0x62d2, 0xaea6, 0x62c2, 0xae92,
+  0x62b2, 0xae7f, 0x62a2, 0xae6c, 0x6292, 0xae58, 0x6282, 0xae45,
+  0x6271, 0xae32, 0x6261, 0xae1e, 0x6251, 0xae0b, 0x6241, 0xadf8,
+  0x6231, 0xade4, 0x6221, 0xadd1, 0x6211, 0xadbe, 0x6201, 0xadab,
+  0x61f1, 0xad97, 0x61e0, 0xad84, 0x61d0, 0xad71, 0x61c0, 0xad5e,
+  0x61b0, 0xad4b, 0x619f, 0xad37, 0x618f, 0xad24, 0x617f, 0xad11,
+  0x616f, 0xacfe, 0x615e, 0xaceb, 0x614e, 0xacd8, 0x613e, 0xacc5,
+  0x612d, 0xacb2, 0x611d, 0xac9e, 0x610d, 0xac8b, 0x60fc, 0xac78,
+  0x60ec, 0xac65, 0x60db, 0xac52, 0x60cb, 0xac3f, 0x60ba, 0xac2c,
+  0x60aa, 0xac19, 0x6099, 0xac06, 0x6089, 0xabf3, 0x6078, 0xabe0,
+  0x6068, 0xabcd, 0x6057, 0xabbb, 0x6047, 0xaba8, 0x6036, 0xab95,
+  0x6026, 0xab82, 0x6015, 0xab6f, 0x6004, 0xab5c, 0x5ff4, 0xab49,
+  0x5fe3, 0xab36, 0x5fd3, 0xab24, 0x5fc2, 0xab11, 0x5fb1, 0xaafe,
+  0x5fa0, 0xaaeb, 0x5f90, 0xaad8, 0x5f7f, 0xaac6, 0x5f6e, 0xaab3,
+  0x5f5e, 0xaaa0, 0x5f4d, 0xaa8e, 0x5f3c, 0xaa7b, 0x5f2b, 0xaa68,
+  0x5f1a, 0xaa55, 0x5f0a, 0xaa43, 0x5ef9, 0xaa30, 0x5ee8, 0xaa1d,
+  0x5ed7, 0xaa0b, 0x5ec6, 0xa9f8, 0x5eb5, 0xa9e6, 0x5ea4, 0xa9d3,
+  0x5e93, 0xa9c0, 0x5e82, 0xa9ae, 0x5e71, 0xa99b, 0x5e60, 0xa989,
+  0x5e50, 0xa976, 0x5e3f, 0xa964, 0x5e2d, 0xa951, 0x5e1c, 0xa93f,
+  0x5e0b, 0xa92c, 0x5dfa, 0xa91a, 0x5de9, 0xa907, 0x5dd8, 0xa8f5,
+  0x5dc7, 0xa8e3, 0x5db6, 0xa8d0, 0x5da5, 0xa8be, 0x5d94, 0xa8ab,
+  0x5d83, 0xa899, 0x5d71, 0xa887, 0x5d60, 0xa874, 0x5d4f, 0xa862,
+  0x5d3e, 0xa850, 0x5d2d, 0xa83d, 0x5d1b, 0xa82b, 0x5d0a, 0xa819,
+  0x5cf9, 0xa807, 0x5ce8, 0xa7f4, 0x5cd6, 0xa7e2, 0x5cc5, 0xa7d0,
+  0x5cb4, 0xa7be, 0x5ca2, 0xa7ab, 0x5c91, 0xa799, 0x5c80, 0xa787,
+  0x5c6e, 0xa775, 0x5c5d, 0xa763, 0x5c4b, 0xa751, 0x5c3a, 0xa73f,
+  0x5c29, 0xa72c, 0x5c17, 0xa71a, 0x5c06, 0xa708, 0x5bf4, 0xa6f6,
+  0x5be3, 0xa6e4, 0x5bd1, 0xa6d2, 0x5bc0, 0xa6c0, 0x5bae, 0xa6ae,
+  0x5b9d, 0xa69c, 0x5b8b, 0xa68a, 0x5b79, 0xa678, 0x5b68, 0xa666,
+  0x5b56, 0xa654, 0x5b45, 0xa642, 0x5b33, 0xa630, 0x5b21, 0xa61f,
+  0x5b10, 0xa60d, 0x5afe, 0xa5fb, 0x5aec, 0xa5e9, 0x5adb, 0xa5d7,
+  0x5ac9, 0xa5c5, 0x5ab7, 0xa5b3, 0x5aa5, 0xa5a2, 0x5a94, 0xa590,
+  0x5a82, 0xa57e, 0x5a70, 0xa56c, 0x5a5e, 0xa55b, 0x5a4d, 0xa549,
+  0x5a3b, 0xa537, 0x5a29, 0xa525, 0x5a17, 0xa514, 0x5a05, 0xa502,
+  0x59f3, 0xa4f0, 0x59e1, 0xa4df, 0x59d0, 0xa4cd, 0x59be, 0xa4bb,
+  0x59ac, 0xa4aa, 0x599a, 0xa498, 0x5988, 0xa487, 0x5976, 0xa475,
+  0x5964, 0xa463, 0x5952, 0xa452, 0x5940, 0xa440, 0x592e, 0xa42f,
+  0x591c, 0xa41d, 0x590a, 0xa40c, 0x58f8, 0xa3fa, 0x58e6, 0xa3e9,
+  0x58d4, 0xa3d7, 0x58c1, 0xa3c6, 0x58af, 0xa3b5, 0x589d, 0xa3a3,
+  0x588b, 0xa392, 0x5879, 0xa380, 0x5867, 0xa36f, 0x5855, 0xa35e,
+  0x5842, 0xa34c, 0x5830, 0xa33b, 0x581e, 0xa32a, 0x580c, 0xa318,
+  0x57f9, 0xa307, 0x57e7, 0xa2f6, 0x57d5, 0xa2e5, 0x57c3, 0xa2d3,
+  0x57b0, 0xa2c2, 0x579e, 0xa2b1, 0x578c, 0xa2a0, 0x5779, 0xa28f,
+  0x5767, 0xa27d, 0x5755, 0xa26c, 0x5742, 0xa25b, 0x5730, 0xa24a,
+  0x571d, 0xa239, 0x570b, 0xa228, 0x56f9, 0xa217, 0x56e6, 0xa206,
+  0x56d4, 0xa1f5, 0x56c1, 0xa1e4, 0x56af, 0xa1d3, 0x569c, 0xa1c1,
+  0x568a, 0xa1b0, 0x5677, 0xa1a0, 0x5665, 0xa18f, 0x5652, 0xa17e,
+  0x5640, 0xa16d, 0x562d, 0xa15c, 0x561a, 0xa14b, 0x5608, 0xa13a,
+  0x55f5, 0xa129, 0x55e3, 0xa118, 0x55d0, 0xa107, 0x55bd, 0xa0f6,
+  0x55ab, 0xa0e6, 0x5598, 0xa0d5, 0x5585, 0xa0c4, 0x5572, 0xa0b3,
+  0x5560, 0xa0a2, 0x554d, 0xa092, 0x553a, 0xa081, 0x5528, 0xa070,
+  0x5515, 0xa060, 0x5502, 0xa04f, 0x54ef, 0xa03e, 0x54dc, 0xa02d,
+  0x54ca, 0xa01d, 0x54b7, 0xa00c, 0x54a4, 0x9ffc, 0x5491, 0x9feb,
+  0x547e, 0x9fda, 0x546b, 0x9fca, 0x5458, 0x9fb9, 0x5445, 0x9fa9,
+  0x5433, 0x9f98, 0x5420, 0x9f88, 0x540d, 0x9f77, 0x53fa, 0x9f67,
+  0x53e7, 0x9f56, 0x53d4, 0x9f46, 0x53c1, 0x9f35, 0x53ae, 0x9f25,
+  0x539b, 0x9f14, 0x5388, 0x9f04, 0x5375, 0x9ef3, 0x5362, 0x9ee3,
+  0x534e, 0x9ed3, 0x533b, 0x9ec2, 0x5328, 0x9eb2, 0x5315, 0x9ea2,
+  0x5302, 0x9e91, 0x52ef, 0x9e81, 0x52dc, 0x9e71, 0x52c9, 0x9e61,
+  0x52b5, 0x9e50, 0x52a2, 0x9e40, 0x528f, 0x9e30, 0x527c, 0x9e20,
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+  0x3f6e, 0x90d3, 0x3f58, 0x90c7, 0x3f43, 0x90ba, 0x3f2d, 0x90ae,
+  0x3f17, 0x90a1, 0x3f01, 0x9095, 0x3eeb, 0x9089, 0x3ed5, 0x907c,
+  0x3ebf, 0x9070, 0x3ea9, 0x9064, 0x3e93, 0x9057, 0x3e7d, 0x904b,
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+  0x3a99, 0x8e34, 0x3a83, 0x8e29, 0x3a6c, 0x8e1d, 0x3a56, 0x8e12,
+  0x3a40, 0x8e06, 0x3a29, 0x8dfb, 0x3a13, 0x8def, 0x39fd, 0x8de4,
+  0x39e6, 0x8dd9, 0x39d0, 0x8dcd, 0x39b9, 0x8dc2, 0x39a3, 0x8db7,
+  0x398c, 0x8dab, 0x3976, 0x8da0, 0x395f, 0x8d95, 0x3949, 0x8d8a,
+  0x3932, 0x8d7e, 0x391c, 0x8d73, 0x3906, 0x8d68, 0x38ef, 0x8d5d,
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+  0x3824, 0x8cf9, 0x380d, 0x8cee, 0x37f7, 0x8ce3, 0x37e0, 0x8cd8,
+  0x37ca, 0x8ccd, 0x37b3, 0x8cc2, 0x379c, 0x8cb7, 0x3786, 0x8cac,
+  0x376f, 0x8ca1, 0x3758, 0x8c96, 0x3742, 0x8c8b, 0x372b, 0x8c81,
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+  0x365f, 0x8c20, 0x3648, 0x8c15, 0x3631, 0x8c0a, 0x361a, 0x8c00,
+  0x3604, 0x8bf5, 0x35ed, 0x8beb, 0x35d6, 0x8be0, 0x35bf, 0x8bd5,
+  0x35a8, 0x8bcb, 0x3592, 0x8bc0, 0x357b, 0x8bb6, 0x3564, 0x8bab,
+  0x354d, 0x8ba1, 0x3536, 0x8b96, 0x351f, 0x8b8c, 0x3508, 0x8b82,
+  0x34f2, 0x8b77, 0x34db, 0x8b6d, 0x34c4, 0x8b62, 0x34ad, 0x8b58,
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+  0x33de, 0x8afc, 0x33c7, 0x8af1, 0x33b0, 0x8ae7, 0x3399, 0x8add,
+  0x3382, 0x8ad3, 0x336b, 0x8ac9, 0x3354, 0x8abf, 0x333d, 0x8ab5,
+  0x3326, 0x8aab, 0x330f, 0x8aa1, 0x32f8, 0x8a97, 0x32e1, 0x8a8d,
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+  0x326e, 0x8a5b, 0x3257, 0x8a51, 0x3240, 0x8a47, 0x3228, 0x8a3d,
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+  0x30fb, 0x89bf, 0x30e4, 0x89b5, 0x30cd, 0x89ac, 0x30b6, 0x89a2,
+  0x309e, 0x8998, 0x3087, 0x898f, 0x3070, 0x8985, 0x3059, 0x897c,
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+  0x2fe4, 0x894d, 0x2fcd, 0x8943, 0x2fb5, 0x893a, 0x2f9e, 0x8931,
+  0x2f87, 0x8927, 0x2f6f, 0x891e, 0x2f58, 0x8915, 0x2f41, 0x890b,
+  0x2f29, 0x8902, 0x2f12, 0x88f9, 0x2efb, 0x88f0, 0x2ee3, 0x88e6,
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+  0x2cf7, 0x8829, 0x2cdf, 0x8820, 0x2cc8, 0x8817, 0x2cb0, 0x880f,
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+  0x2b7d, 0x879e, 0x2b66, 0x8795, 0x2b4e, 0x878d, 0x2b36, 0x8784,
+  0x2b1f, 0x877c, 0x2b07, 0x8774, 0x2aef, 0x876b, 0x2ad8, 0x8763,
+  0x2ac0, 0x875a, 0x2aa8, 0x8752, 0x2a91, 0x874a, 0x2a79, 0x8741,
+  0x2a61, 0x8739, 0x2a49, 0x8731, 0x2a32, 0x8728, 0x2a1a, 0x8720,
+  0x2a02, 0x8718, 0x29eb, 0x870f, 0x29d3, 0x8707, 0x29bb, 0x86ff,
+  0x29a3, 0x86f7, 0x298b, 0x86ef, 0x2974, 0x86e7, 0x295c, 0x86de,
+  0x2944, 0x86d6, 0x292c, 0x86ce, 0x2915, 0x86c6, 0x28fd, 0x86be,
+  0x28e5, 0x86b6, 0x28cd, 0x86ae, 0x28b5, 0x86a6, 0x289d, 0x869e,
+  0x2886, 0x8696, 0x286e, 0x868e, 0x2856, 0x8686, 0x283e, 0x867e,
+  0x2826, 0x8676, 0x280e, 0x866e, 0x27f6, 0x8667, 0x27df, 0x865f,
+  0x27c7, 0x8657, 0x27af, 0x864f, 0x2797, 0x8647, 0x277f, 0x8640,
+  0x2767, 0x8638, 0x274f, 0x8630, 0x2737, 0x8628, 0x271f, 0x8621,
+  0x2707, 0x8619, 0x26ef, 0x8611, 0x26d8, 0x860a, 0x26c0, 0x8602,
+  0x26a8, 0x85fb, 0x2690, 0x85f3, 0x2678, 0x85eb, 0x2660, 0x85e4,
+  0x2648, 0x85dc, 0x2630, 0x85d5, 0x2618, 0x85cd, 0x2600, 0x85c6,
+  0x25e8, 0x85be, 0x25d0, 0x85b7, 0x25b8, 0x85b0, 0x25a0, 0x85a8,
+  0x2588, 0x85a1, 0x2570, 0x8599, 0x2558, 0x8592, 0x2540, 0x858b,
+  0x2528, 0x8583, 0x250f, 0x857c, 0x24f7, 0x8575, 0x24df, 0x856e,
+  0x24c7, 0x8566, 0x24af, 0x855f, 0x2497, 0x8558, 0x247f, 0x8551,
+  0x2467, 0x854a, 0x244f, 0x8543, 0x2437, 0x853b, 0x241f, 0x8534,
+  0x2407, 0x852d, 0x23ee, 0x8526, 0x23d6, 0x851f, 0x23be, 0x8518,
+  0x23a6, 0x8511, 0x238e, 0x850a, 0x2376, 0x8503, 0x235e, 0x84fc,
+  0x2345, 0x84f5, 0x232d, 0x84ee, 0x2315, 0x84e7, 0x22fd, 0x84e1,
+  0x22e5, 0x84da, 0x22cd, 0x84d3, 0x22b4, 0x84cc, 0x229c, 0x84c5,
+  0x2284, 0x84be, 0x226c, 0x84b8, 0x2254, 0x84b1, 0x223b, 0x84aa,
+  0x2223, 0x84a3, 0x220b, 0x849d, 0x21f3, 0x8496, 0x21da, 0x848f,
+  0x21c2, 0x8489, 0x21aa, 0x8482, 0x2192, 0x847c, 0x2179, 0x8475,
+  0x2161, 0x846e, 0x2149, 0x8468, 0x2131, 0x8461, 0x2118, 0x845b,
+  0x2100, 0x8454, 0x20e8, 0x844e, 0x20d0, 0x8447, 0x20b7, 0x8441,
+  0x209f, 0x843b, 0x2087, 0x8434, 0x206e, 0x842e, 0x2056, 0x8427,
+  0x203e, 0x8421, 0x2025, 0x841b, 0x200d, 0x8415, 0x1ff5, 0x840e,
+  0x1fdc, 0x8408, 0x1fc4, 0x8402, 0x1fac, 0x83fb, 0x1f93, 0x83f5,
+  0x1f7b, 0x83ef, 0x1f63, 0x83e9, 0x1f4a, 0x83e3, 0x1f32, 0x83dd,
+  0x1f19, 0x83d7, 0x1f01, 0x83d0, 0x1ee9, 0x83ca, 0x1ed0, 0x83c4,
+  0x1eb8, 0x83be, 0x1ea0, 0x83b8, 0x1e87, 0x83b2, 0x1e6f, 0x83ac,
+  0x1e56, 0x83a6, 0x1e3e, 0x83a0, 0x1e25, 0x839a, 0x1e0d, 0x8394,
+  0x1df5, 0x838f, 0x1ddc, 0x8389, 0x1dc4, 0x8383, 0x1dab, 0x837d,
+  0x1d93, 0x8377, 0x1d7a, 0x8371, 0x1d62, 0x836c, 0x1d49, 0x8366,
+  0x1d31, 0x8360, 0x1d18, 0x835a, 0x1d00, 0x8355, 0x1ce8, 0x834f,
+  0x1ccf, 0x8349, 0x1cb7, 0x8344, 0x1c9e, 0x833e, 0x1c86, 0x8338,
+  0x1c6d, 0x8333, 0x1c55, 0x832d, 0x1c3c, 0x8328, 0x1c24, 0x8322,
+  0x1c0b, 0x831d, 0x1bf2, 0x8317, 0x1bda, 0x8312, 0x1bc1, 0x830c,
+  0x1ba9, 0x8307, 0x1b90, 0x8301, 0x1b78, 0x82fc, 0x1b5f, 0x82f7,
+  0x1b47, 0x82f1, 0x1b2e, 0x82ec, 0x1b16, 0x82e7, 0x1afd, 0x82e1,
+  0x1ae4, 0x82dc, 0x1acc, 0x82d7, 0x1ab3, 0x82d1, 0x1a9b, 0x82cc,
+  0x1a82, 0x82c7, 0x1a6a, 0x82c2, 0x1a51, 0x82bd, 0x1a38, 0x82b7,
+  0x1a20, 0x82b2, 0x1a07, 0x82ad, 0x19ef, 0x82a8, 0x19d6, 0x82a3,
+  0x19bd, 0x829e, 0x19a5, 0x8299, 0x198c, 0x8294, 0x1973, 0x828f,
+  0x195b, 0x828a, 0x1942, 0x8285, 0x192a, 0x8280, 0x1911, 0x827b,
+  0x18f8, 0x8276, 0x18e0, 0x8271, 0x18c7, 0x826c, 0x18ae, 0x8268,
+  0x1896, 0x8263, 0x187d, 0x825e, 0x1864, 0x8259, 0x184c, 0x8254,
+  0x1833, 0x8250, 0x181a, 0x824b, 0x1802, 0x8246, 0x17e9, 0x8241,
+  0x17d0, 0x823d, 0x17b7, 0x8238, 0x179f, 0x8233, 0x1786, 0x822f,
+  0x176d, 0x822a, 0x1755, 0x8226, 0x173c, 0x8221, 0x1723, 0x821c,
+  0x170a, 0x8218, 0x16f2, 0x8213, 0x16d9, 0x820f, 0x16c0, 0x820a,
+  0x16a8, 0x8206, 0x168f, 0x8201, 0x1676, 0x81fd, 0x165d, 0x81f9,
+  0x1645, 0x81f4, 0x162c, 0x81f0, 0x1613, 0x81ec, 0x15fa, 0x81e7,
+  0x15e2, 0x81e3, 0x15c9, 0x81df, 0x15b0, 0x81da, 0x1597, 0x81d6,
+  0x157f, 0x81d2, 0x1566, 0x81ce, 0x154d, 0x81c9, 0x1534, 0x81c5,
+  0x151b, 0x81c1, 0x1503, 0x81bd, 0x14ea, 0x81b9, 0x14d1, 0x81b5,
+  0x14b8, 0x81b1, 0x149f, 0x81ad, 0x1487, 0x81a9, 0x146e, 0x81a5,
+  0x1455, 0x81a1, 0x143c, 0x819d, 0x1423, 0x8199, 0x140b, 0x8195,
+  0x13f2, 0x8191, 0x13d9, 0x818d, 0x13c0, 0x8189, 0x13a7, 0x8185,
+  0x138e, 0x8181, 0x1376, 0x817d, 0x135d, 0x817a, 0x1344, 0x8176,
+  0x132b, 0x8172, 0x1312, 0x816e, 0x12f9, 0x816b, 0x12e0, 0x8167,
+  0x12c8, 0x8163, 0x12af, 0x815f, 0x1296, 0x815c, 0x127d, 0x8158,
+  0x1264, 0x8155, 0x124b, 0x8151, 0x1232, 0x814d, 0x1219, 0x814a,
+  0x1201, 0x8146, 0x11e8, 0x8143, 0x11cf, 0x813f, 0x11b6, 0x813c,
+  0x119d, 0x8138, 0x1184, 0x8135, 0x116b, 0x8131, 0x1152, 0x812e,
+  0x1139, 0x812b, 0x1121, 0x8127, 0x1108, 0x8124, 0x10ef, 0x8121,
+  0x10d6, 0x811d, 0x10bd, 0x811a, 0x10a4, 0x8117, 0x108b, 0x8113,
+  0x1072, 0x8110, 0x1059, 0x810d, 0x1040, 0x810a, 0x1027, 0x8107,
+  0x100e, 0x8103, 0xff5, 0x8100, 0xfdd, 0x80fd, 0xfc4, 0x80fa,
+  0xfab, 0x80f7, 0xf92, 0x80f4, 0xf79, 0x80f1, 0xf60, 0x80ee,
+  0xf47, 0x80eb, 0xf2e, 0x80e8, 0xf15, 0x80e5, 0xefc, 0x80e2,
+  0xee3, 0x80df, 0xeca, 0x80dc, 0xeb1, 0x80d9, 0xe98, 0x80d6,
+  0xe7f, 0x80d3, 0xe66, 0x80d1, 0xe4d, 0x80ce, 0xe34, 0x80cb,
+  0xe1b, 0x80c8, 0xe02, 0x80c5, 0xde9, 0x80c3, 0xdd0, 0x80c0,
+  0xdb7, 0x80bd, 0xd9e, 0x80bb, 0xd85, 0x80b8, 0xd6c, 0x80b5,
+  0xd53, 0x80b3, 0xd3a, 0x80b0, 0xd21, 0x80ad, 0xd08, 0x80ab,
+  0xcef, 0x80a8, 0xcd6, 0x80a6, 0xcbd, 0x80a3, 0xca4, 0x80a1,
+  0xc8b, 0x809e, 0xc72, 0x809c, 0xc59, 0x8099, 0xc40, 0x8097,
+  0xc27, 0x8095, 0xc0e, 0x8092, 0xbf5, 0x8090, 0xbdc, 0x808e,
+  0xbc3, 0x808b, 0xbaa, 0x8089, 0xb91, 0x8087, 0xb78, 0x8084,
+  0xb5f, 0x8082, 0xb46, 0x8080, 0xb2d, 0x807e, 0xb14, 0x807b,
+  0xafb, 0x8079, 0xae2, 0x8077, 0xac9, 0x8075, 0xab0, 0x8073,
+  0xa97, 0x8071, 0xa7e, 0x806f, 0xa65, 0x806d, 0xa4c, 0x806b,
+  0xa33, 0x8069, 0xa19, 0x8067, 0xa00, 0x8065, 0x9e7, 0x8063,
+  0x9ce, 0x8061, 0x9b5, 0x805f, 0x99c, 0x805d, 0x983, 0x805b,
+  0x96a, 0x8059, 0x951, 0x8057, 0x938, 0x8056, 0x91f, 0x8054,
+  0x906, 0x8052, 0x8ed, 0x8050, 0x8d4, 0x804f, 0x8bb, 0x804d,
+  0x8a2, 0x804b, 0x888, 0x8049, 0x86f, 0x8048, 0x856, 0x8046,
+  0x83d, 0x8044, 0x824, 0x8043, 0x80b, 0x8041, 0x7f2, 0x8040,
+  0x7d9, 0x803e, 0x7c0, 0x803d, 0x7a7, 0x803b, 0x78e, 0x803a,
+  0x775, 0x8038, 0x75b, 0x8037, 0x742, 0x8035, 0x729, 0x8034,
+  0x710, 0x8032, 0x6f7, 0x8031, 0x6de, 0x8030, 0x6c5, 0x802e,
+  0x6ac, 0x802d, 0x693, 0x802c, 0x67a, 0x802a, 0x660, 0x8029,
+  0x647, 0x8028, 0x62e, 0x8027, 0x615, 0x8026, 0x5fc, 0x8024,
+  0x5e3, 0x8023, 0x5ca, 0x8022, 0x5b1, 0x8021, 0x598, 0x8020,
+  0x57f, 0x801f, 0x565, 0x801e, 0x54c, 0x801d, 0x533, 0x801c,
+  0x51a, 0x801b, 0x501, 0x801a, 0x4e8, 0x8019, 0x4cf, 0x8018,
+  0x4b6, 0x8017, 0x49c, 0x8016, 0x483, 0x8015, 0x46a, 0x8014,
+  0x451, 0x8013, 0x438, 0x8012, 0x41f, 0x8012, 0x406, 0x8011,
+  0x3ed, 0x8010, 0x3d4, 0x800f, 0x3ba, 0x800e, 0x3a1, 0x800e,
+  0x388, 0x800d, 0x36f, 0x800c, 0x356, 0x800c, 0x33d, 0x800b,
+  0x324, 0x800a, 0x30b, 0x800a, 0x2f1, 0x8009, 0x2d8, 0x8009,
+  0x2bf, 0x8008, 0x2a6, 0x8008, 0x28d, 0x8007, 0x274, 0x8007,
+  0x25b, 0x8006, 0x242, 0x8006, 0x228, 0x8005, 0x20f, 0x8005,
+  0x1f6, 0x8004, 0x1dd, 0x8004, 0x1c4, 0x8004, 0x1ab, 0x8003,
+  0x192, 0x8003, 0x178, 0x8003, 0x15f, 0x8002, 0x146, 0x8002,
+  0x12d, 0x8002, 0x114, 0x8002, 0xfb, 0x8001, 0xe2, 0x8001,
+  0xc9, 0x8001, 0xaf, 0x8001, 0x96, 0x8001, 0x7d, 0x8001,
+  0x64, 0x8001, 0x4b, 0x8001, 0x32, 0x8001, 0x19, 0x8001,
+};
+
+static const q15_t ALIGN4 WeightsQ15_8192[16384] = {
+  0x7fff, 0x0, 0x7fff, 0xfffa, 0x7fff, 0xfff4, 0x7fff, 0xffee,
+  0x7fff, 0xffe7, 0x7fff, 0xffe1, 0x7fff, 0xffdb, 0x7fff, 0xffd5,
+  0x7fff, 0xffce, 0x7fff, 0xffc8, 0x7fff, 0xffc2, 0x7fff, 0xffbb,
+  0x7fff, 0xffb5, 0x7fff, 0xffaf, 0x7fff, 0xffa9, 0x7fff, 0xffa2,
+  0x7fff, 0xff9c, 0x7fff, 0xff96, 0x7fff, 0xff8f, 0x7fff, 0xff89,
+  0x7fff, 0xff83, 0x7fff, 0xff7d, 0x7fff, 0xff76, 0x7fff, 0xff70,
+  0x7fff, 0xff6a, 0x7fff, 0xff63, 0x7fff, 0xff5d, 0x7fff, 0xff57,
+  0x7fff, 0xff51, 0x7fff, 0xff4a, 0x7fff, 0xff44, 0x7fff, 0xff3e,
+  0x7fff, 0xff37, 0x7fff, 0xff31, 0x7fff, 0xff2b, 0x7fff, 0xff25,
+  0x7fff, 0xff1e, 0x7fff, 0xff18, 0x7fff, 0xff12, 0x7fff, 0xff0b,
+  0x7fff, 0xff05, 0x7ffe, 0xfeff, 0x7ffe, 0xfef9, 0x7ffe, 0xfef2,
+  0x7ffe, 0xfeec, 0x7ffe, 0xfee6, 0x7ffe, 0xfedf, 0x7ffe, 0xfed9,
+  0x7ffe, 0xfed3, 0x7ffe, 0xfecd, 0x7ffe, 0xfec6, 0x7ffe, 0xfec0,
+  0x7ffe, 0xfeba, 0x7ffe, 0xfeb3, 0x7ffe, 0xfead, 0x7ffe, 0xfea7,
+  0x7ffe, 0xfea1, 0x7ffe, 0xfe9a, 0x7ffd, 0xfe94, 0x7ffd, 0xfe8e,
+  0x7ffd, 0xfe88, 0x7ffd, 0xfe81, 0x7ffd, 0xfe7b, 0x7ffd, 0xfe75,
+  0x7ffd, 0xfe6e, 0x7ffd, 0xfe68, 0x7ffd, 0xfe62, 0x7ffd, 0xfe5c,
+  0x7ffd, 0xfe55, 0x7ffd, 0xfe4f, 0x7ffd, 0xfe49, 0x7ffc, 0xfe42,
+  0x7ffc, 0xfe3c, 0x7ffc, 0xfe36, 0x7ffc, 0xfe30, 0x7ffc, 0xfe29,
+  0x7ffc, 0xfe23, 0x7ffc, 0xfe1d, 0x7ffc, 0xfe16, 0x7ffc, 0xfe10,
+  0x7ffc, 0xfe0a, 0x7ffc, 0xfe04, 0x7ffb, 0xfdfd, 0x7ffb, 0xfdf7,
+  0x7ffb, 0xfdf1, 0x7ffb, 0xfdea, 0x7ffb, 0xfde4, 0x7ffb, 0xfdde,
+  0x7ffb, 0xfdd8, 0x7ffb, 0xfdd1, 0x7ffb, 0xfdcb, 0x7ffb, 0xfdc5,
+  0x7ffa, 0xfdbe, 0x7ffa, 0xfdb8, 0x7ffa, 0xfdb2, 0x7ffa, 0xfdac,
+  0x7ffa, 0xfda5, 0x7ffa, 0xfd9f, 0x7ffa, 0xfd99, 0x7ffa, 0xfd93,
+  0x7ff9, 0xfd8c, 0x7ff9, 0xfd86, 0x7ff9, 0xfd80, 0x7ff9, 0xfd79,
+  0x7ff9, 0xfd73, 0x7ff9, 0xfd6d, 0x7ff9, 0xfd67, 0x7ff9, 0xfd60,
+  0x7ff8, 0xfd5a, 0x7ff8, 0xfd54, 0x7ff8, 0xfd4d, 0x7ff8, 0xfd47,
+  0x7ff8, 0xfd41, 0x7ff8, 0xfd3b, 0x7ff8, 0xfd34, 0x7ff8, 0xfd2e,
+  0x7ff7, 0xfd28, 0x7ff7, 0xfd21, 0x7ff7, 0xfd1b, 0x7ff7, 0xfd15,
+  0x7ff7, 0xfd0f, 0x7ff7, 0xfd08, 0x7ff7, 0xfd02, 0x7ff6, 0xfcfc,
+  0x7ff6, 0xfcf5, 0x7ff6, 0xfcef, 0x7ff6, 0xfce9, 0x7ff6, 0xfce3,
+  0x7ff6, 0xfcdc, 0x7ff5, 0xfcd6, 0x7ff5, 0xfcd0, 0x7ff5, 0xfcc9,
+  0x7ff5, 0xfcc3, 0x7ff5, 0xfcbd, 0x7ff5, 0xfcb7, 0x7ff5, 0xfcb0,
+  0x7ff4, 0xfcaa, 0x7ff4, 0xfca4, 0x7ff4, 0xfc9e, 0x7ff4, 0xfc97,
+  0x7ff4, 0xfc91, 0x7ff4, 0xfc8b, 0x7ff3, 0xfc84, 0x7ff3, 0xfc7e,
+  0x7ff3, 0xfc78, 0x7ff3, 0xfc72, 0x7ff3, 0xfc6b, 0x7ff2, 0xfc65,
+  0x7ff2, 0xfc5f, 0x7ff2, 0xfc58, 0x7ff2, 0xfc52, 0x7ff2, 0xfc4c,
+  0x7ff2, 0xfc46, 0x7ff1, 0xfc3f, 0x7ff1, 0xfc39, 0x7ff1, 0xfc33,
+  0x7ff1, 0xfc2c, 0x7ff1, 0xfc26, 0x7ff0, 0xfc20, 0x7ff0, 0xfc1a,
+  0x7ff0, 0xfc13, 0x7ff0, 0xfc0d, 0x7ff0, 0xfc07, 0x7fef, 0xfc01,
+  0x7fef, 0xfbfa, 0x7fef, 0xfbf4, 0x7fef, 0xfbee, 0x7fef, 0xfbe7,
+  0x7fee, 0xfbe1, 0x7fee, 0xfbdb, 0x7fee, 0xfbd5, 0x7fee, 0xfbce,
+  0x7fee, 0xfbc8, 0x7fed, 0xfbc2, 0x7fed, 0xfbbb, 0x7fed, 0xfbb5,
+  0x7fed, 0xfbaf, 0x7fed, 0xfba9, 0x7fec, 0xfba2, 0x7fec, 0xfb9c,
+  0x7fec, 0xfb96, 0x7fec, 0xfb8f, 0x7fec, 0xfb89, 0x7feb, 0xfb83,
+  0x7feb, 0xfb7d, 0x7feb, 0xfb76, 0x7feb, 0xfb70, 0x7fea, 0xfb6a,
+  0x7fea, 0xfb64, 0x7fea, 0xfb5d, 0x7fea, 0xfb57, 0x7fea, 0xfb51,
+  0x7fe9, 0xfb4a, 0x7fe9, 0xfb44, 0x7fe9, 0xfb3e, 0x7fe9, 0xfb38,
+  0x7fe8, 0xfb31, 0x7fe8, 0xfb2b, 0x7fe8, 0xfb25, 0x7fe8, 0xfb1e,
+  0x7fe7, 0xfb18, 0x7fe7, 0xfb12, 0x7fe7, 0xfb0c, 0x7fe7, 0xfb05,
+  0x7fe6, 0xfaff, 0x7fe6, 0xfaf9, 0x7fe6, 0xfaf3, 0x7fe6, 0xfaec,
+  0x7fe5, 0xfae6, 0x7fe5, 0xfae0, 0x7fe5, 0xfad9, 0x7fe5, 0xfad3,
+  0x7fe4, 0xfacd, 0x7fe4, 0xfac7, 0x7fe4, 0xfac0, 0x7fe4, 0xfaba,
+  0x7fe3, 0xfab4, 0x7fe3, 0xfaad, 0x7fe3, 0xfaa7, 0x7fe3, 0xfaa1,
+  0x7fe2, 0xfa9b, 0x7fe2, 0xfa94, 0x7fe2, 0xfa8e, 0x7fe2, 0xfa88,
+  0x7fe1, 0xfa81, 0x7fe1, 0xfa7b, 0x7fe1, 0xfa75, 0x7fe0, 0xfa6f,
+  0x7fe0, 0xfa68, 0x7fe0, 0xfa62, 0x7fe0, 0xfa5c, 0x7fdf, 0xfa56,
+  0x7fdf, 0xfa4f, 0x7fdf, 0xfa49, 0x7fdf, 0xfa43, 0x7fde, 0xfa3c,
+  0x7fde, 0xfa36, 0x7fde, 0xfa30, 0x7fdd, 0xfa2a, 0x7fdd, 0xfa23,
+  0x7fdd, 0xfa1d, 0x7fdd, 0xfa17, 0x7fdc, 0xfa11, 0x7fdc, 0xfa0a,
+  0x7fdc, 0xfa04, 0x7fdb, 0xf9fe, 0x7fdb, 0xf9f7, 0x7fdb, 0xf9f1,
+  0x7fda, 0xf9eb, 0x7fda, 0xf9e5, 0x7fda, 0xf9de, 0x7fda, 0xf9d8,
+  0x7fd9, 0xf9d2, 0x7fd9, 0xf9cb, 0x7fd9, 0xf9c5, 0x7fd8, 0xf9bf,
+  0x7fd8, 0xf9b9, 0x7fd8, 0xf9b2, 0x7fd7, 0xf9ac, 0x7fd7, 0xf9a6,
+  0x7fd7, 0xf9a0, 0x7fd6, 0xf999, 0x7fd6, 0xf993, 0x7fd6, 0xf98d,
+  0x7fd6, 0xf986, 0x7fd5, 0xf980, 0x7fd5, 0xf97a, 0x7fd5, 0xf974,
+  0x7fd4, 0xf96d, 0x7fd4, 0xf967, 0x7fd4, 0xf961, 0x7fd3, 0xf95b,
+  0x7fd3, 0xf954, 0x7fd3, 0xf94e, 0x7fd2, 0xf948, 0x7fd2, 0xf941,
+  0x7fd2, 0xf93b, 0x7fd1, 0xf935, 0x7fd1, 0xf92f, 0x7fd1, 0xf928,
+  0x7fd0, 0xf922, 0x7fd0, 0xf91c, 0x7fd0, 0xf916, 0x7fcf, 0xf90f,
+  0x7fcf, 0xf909, 0x7fcf, 0xf903, 0x7fce, 0xf8fc, 0x7fce, 0xf8f6,
+  0x7fce, 0xf8f0, 0x7fcd, 0xf8ea, 0x7fcd, 0xf8e3, 0x7fcd, 0xf8dd,
+  0x7fcc, 0xf8d7, 0x7fcc, 0xf8d0, 0x7fcb, 0xf8ca, 0x7fcb, 0xf8c4,
+  0x7fcb, 0xf8be, 0x7fca, 0xf8b7, 0x7fca, 0xf8b1, 0x7fca, 0xf8ab,
+  0x7fc9, 0xf8a5, 0x7fc9, 0xf89e, 0x7fc9, 0xf898, 0x7fc8, 0xf892,
+  0x7fc8, 0xf88b, 0x7fc7, 0xf885, 0x7fc7, 0xf87f, 0x7fc7, 0xf879,
+  0x7fc6, 0xf872, 0x7fc6, 0xf86c, 0x7fc6, 0xf866, 0x7fc5, 0xf860,
+  0x7fc5, 0xf859, 0x7fc5, 0xf853, 0x7fc4, 0xf84d, 0x7fc4, 0xf846,
+  0x7fc3, 0xf840, 0x7fc3, 0xf83a, 0x7fc3, 0xf834, 0x7fc2, 0xf82d,
+  0x7fc2, 0xf827, 0x7fc1, 0xf821, 0x7fc1, 0xf81b, 0x7fc1, 0xf814,
+  0x7fc0, 0xf80e, 0x7fc0, 0xf808, 0x7fc0, 0xf802, 0x7fbf, 0xf7fb,
+  0x7fbf, 0xf7f5, 0x7fbe, 0xf7ef, 0x7fbe, 0xf7e8, 0x7fbe, 0xf7e2,
+  0x7fbd, 0xf7dc, 0x7fbd, 0xf7d6, 0x7fbc, 0xf7cf, 0x7fbc, 0xf7c9,
+  0x7fbc, 0xf7c3, 0x7fbb, 0xf7bd, 0x7fbb, 0xf7b6, 0x7fba, 0xf7b0,
+  0x7fba, 0xf7aa, 0x7fb9, 0xf7a3, 0x7fb9, 0xf79d, 0x7fb9, 0xf797,
+  0x7fb8, 0xf791, 0x7fb8, 0xf78a, 0x7fb7, 0xf784, 0x7fb7, 0xf77e,
+  0x7fb7, 0xf778, 0x7fb6, 0xf771, 0x7fb6, 0xf76b, 0x7fb5, 0xf765,
+  0x7fb5, 0xf75e, 0x7fb4, 0xf758, 0x7fb4, 0xf752, 0x7fb4, 0xf74c,
+  0x7fb3, 0xf745, 0x7fb3, 0xf73f, 0x7fb2, 0xf739, 0x7fb2, 0xf733,
+  0x7fb1, 0xf72c, 0x7fb1, 0xf726, 0x7fb1, 0xf720, 0x7fb0, 0xf71a,
+  0x7fb0, 0xf713, 0x7faf, 0xf70d, 0x7faf, 0xf707, 0x7fae, 0xf700,
+  0x7fae, 0xf6fa, 0x7fae, 0xf6f4, 0x7fad, 0xf6ee, 0x7fad, 0xf6e7,
+  0x7fac, 0xf6e1, 0x7fac, 0xf6db, 0x7fab, 0xf6d5, 0x7fab, 0xf6ce,
+  0x7faa, 0xf6c8, 0x7faa, 0xf6c2, 0x7fa9, 0xf6bc, 0x7fa9, 0xf6b5,
+  0x7fa9, 0xf6af, 0x7fa8, 0xf6a9, 0x7fa8, 0xf6a2, 0x7fa7, 0xf69c,
+  0x7fa7, 0xf696, 0x7fa6, 0xf690, 0x7fa6, 0xf689, 0x7fa5, 0xf683,
+  0x7fa5, 0xf67d, 0x7fa4, 0xf677, 0x7fa4, 0xf670, 0x7fa3, 0xf66a,
+  0x7fa3, 0xf664, 0x7fa3, 0xf65e, 0x7fa2, 0xf657, 0x7fa2, 0xf651,
+  0x7fa1, 0xf64b, 0x7fa1, 0xf644, 0x7fa0, 0xf63e, 0x7fa0, 0xf638,
+  0x7f9f, 0xf632, 0x7f9f, 0xf62b, 0x7f9e, 0xf625, 0x7f9e, 0xf61f,
+  0x7f9d, 0xf619, 0x7f9d, 0xf612, 0x7f9c, 0xf60c, 0x7f9c, 0xf606,
+  0x7f9b, 0xf600, 0x7f9b, 0xf5f9, 0x7f9a, 0xf5f3, 0x7f9a, 0xf5ed,
+  0x7f99, 0xf5e7, 0x7f99, 0xf5e0, 0x7f98, 0xf5da, 0x7f98, 0xf5d4,
+  0x7f97, 0xf5cd, 0x7f97, 0xf5c7, 0x7f96, 0xf5c1, 0x7f96, 0xf5bb,
+  0x7f95, 0xf5b4, 0x7f95, 0xf5ae, 0x7f94, 0xf5a8, 0x7f94, 0xf5a2,
+  0x7f93, 0xf59b, 0x7f93, 0xf595, 0x7f92, 0xf58f, 0x7f92, 0xf589,
+  0x7f91, 0xf582, 0x7f91, 0xf57c, 0x7f90, 0xf576, 0x7f90, 0xf570,
+  0x7f8f, 0xf569, 0x7f8f, 0xf563, 0x7f8e, 0xf55d, 0x7f8e, 0xf556,
+  0x7f8d, 0xf550, 0x7f8d, 0xf54a, 0x7f8c, 0xf544, 0x7f8b, 0xf53d,
+  0x7f8b, 0xf537, 0x7f8a, 0xf531, 0x7f8a, 0xf52b, 0x7f89, 0xf524,
+  0x7f89, 0xf51e, 0x7f88, 0xf518, 0x7f88, 0xf512, 0x7f87, 0xf50b,
+  0x7f87, 0xf505, 0x7f86, 0xf4ff, 0x7f86, 0xf4f9, 0x7f85, 0xf4f2,
+  0x7f85, 0xf4ec, 0x7f84, 0xf4e6, 0x7f83, 0xf4e0, 0x7f83, 0xf4d9,
+  0x7f82, 0xf4d3, 0x7f82, 0xf4cd, 0x7f81, 0xf4c6, 0x7f81, 0xf4c0,
+  0x7f80, 0xf4ba, 0x7f80, 0xf4b4, 0x7f7f, 0xf4ad, 0x7f7e, 0xf4a7,
+  0x7f7e, 0xf4a1, 0x7f7d, 0xf49b, 0x7f7d, 0xf494, 0x7f7c, 0xf48e,
+  0x7f7c, 0xf488, 0x7f7b, 0xf482, 0x7f7b, 0xf47b, 0x7f7a, 0xf475,
+  0x7f79, 0xf46f, 0x7f79, 0xf469, 0x7f78, 0xf462, 0x7f78, 0xf45c,
+  0x7f77, 0xf456, 0x7f77, 0xf450, 0x7f76, 0xf449, 0x7f75, 0xf443,
+  0x7f75, 0xf43d, 0x7f74, 0xf437, 0x7f74, 0xf430, 0x7f73, 0xf42a,
+  0x7f72, 0xf424, 0x7f72, 0xf41e, 0x7f71, 0xf417, 0x7f71, 0xf411,
+  0x7f70, 0xf40b, 0x7f70, 0xf405, 0x7f6f, 0xf3fe, 0x7f6e, 0xf3f8,
+  0x7f6e, 0xf3f2, 0x7f6d, 0xf3ec, 0x7f6d, 0xf3e5, 0x7f6c, 0xf3df,
+  0x7f6b, 0xf3d9, 0x7f6b, 0xf3d2, 0x7f6a, 0xf3cc, 0x7f6a, 0xf3c6,
+  0x7f69, 0xf3c0, 0x7f68, 0xf3b9, 0x7f68, 0xf3b3, 0x7f67, 0xf3ad,
+  0x7f67, 0xf3a7, 0x7f66, 0xf3a0, 0x7f65, 0xf39a, 0x7f65, 0xf394,
+  0x7f64, 0xf38e, 0x7f64, 0xf387, 0x7f63, 0xf381, 0x7f62, 0xf37b,
+  0x7f62, 0xf375, 0x7f61, 0xf36e, 0x7f60, 0xf368, 0x7f60, 0xf362,
+  0x7f5f, 0xf35c, 0x7f5f, 0xf355, 0x7f5e, 0xf34f, 0x7f5d, 0xf349,
+  0x7f5d, 0xf343, 0x7f5c, 0xf33c, 0x7f5b, 0xf336, 0x7f5b, 0xf330,
+  0x7f5a, 0xf32a, 0x7f5a, 0xf323, 0x7f59, 0xf31d, 0x7f58, 0xf317,
+  0x7f58, 0xf311, 0x7f57, 0xf30a, 0x7f56, 0xf304, 0x7f56, 0xf2fe,
+  0x7f55, 0xf2f8, 0x7f55, 0xf2f1, 0x7f54, 0xf2eb, 0x7f53, 0xf2e5,
+  0x7f53, 0xf2df, 0x7f52, 0xf2d8, 0x7f51, 0xf2d2, 0x7f51, 0xf2cc,
+  0x7f50, 0xf2c6, 0x7f4f, 0xf2bf, 0x7f4f, 0xf2b9, 0x7f4e, 0xf2b3,
+  0x7f4d, 0xf2ad, 0x7f4d, 0xf2a6, 0x7f4c, 0xf2a0, 0x7f4b, 0xf29a,
+  0x7f4b, 0xf294, 0x7f4a, 0xf28d, 0x7f49, 0xf287, 0x7f49, 0xf281,
+  0x7f48, 0xf27b, 0x7f47, 0xf274, 0x7f47, 0xf26e, 0x7f46, 0xf268,
+  0x7f45, 0xf262, 0x7f45, 0xf25b, 0x7f44, 0xf255, 0x7f43, 0xf24f,
+  0x7f43, 0xf249, 0x7f42, 0xf242, 0x7f41, 0xf23c, 0x7f41, 0xf236,
+  0x7f40, 0xf230, 0x7f3f, 0xf229, 0x7f3f, 0xf223, 0x7f3e, 0xf21d,
+  0x7f3d, 0xf217, 0x7f3d, 0xf210, 0x7f3c, 0xf20a, 0x7f3b, 0xf204,
+  0x7f3b, 0xf1fe, 0x7f3a, 0xf1f7, 0x7f39, 0xf1f1, 0x7f39, 0xf1eb,
+  0x7f38, 0xf1e5, 0x7f37, 0xf1de, 0x7f36, 0xf1d8, 0x7f36, 0xf1d2,
+  0x7f35, 0xf1cc, 0x7f34, 0xf1c6, 0x7f34, 0xf1bf, 0x7f33, 0xf1b9,
+  0x7f32, 0xf1b3, 0x7f32, 0xf1ad, 0x7f31, 0xf1a6, 0x7f30, 0xf1a0,
+  0x7f2f, 0xf19a, 0x7f2f, 0xf194, 0x7f2e, 0xf18d, 0x7f2d, 0xf187,
+  0x7f2d, 0xf181, 0x7f2c, 0xf17b, 0x7f2b, 0xf174, 0x7f2a, 0xf16e,
+  0x7f2a, 0xf168, 0x7f29, 0xf162, 0x7f28, 0xf15b, 0x7f28, 0xf155,
+  0x7f27, 0xf14f, 0x7f26, 0xf149, 0x7f25, 0xf142, 0x7f25, 0xf13c,
+  0x7f24, 0xf136, 0x7f23, 0xf130, 0x7f23, 0xf129, 0x7f22, 0xf123,
+  0x7f21, 0xf11d, 0x7f20, 0xf117, 0x7f20, 0xf110, 0x7f1f, 0xf10a,
+  0x7f1e, 0xf104, 0x7f1d, 0xf0fe, 0x7f1d, 0xf0f8, 0x7f1c, 0xf0f1,
+  0x7f1b, 0xf0eb, 0x7f1a, 0xf0e5, 0x7f1a, 0xf0df, 0x7f19, 0xf0d8,
+  0x7f18, 0xf0d2, 0x7f17, 0xf0cc, 0x7f17, 0xf0c6, 0x7f16, 0xf0bf,
+  0x7f15, 0xf0b9, 0x7f14, 0xf0b3, 0x7f14, 0xf0ad, 0x7f13, 0xf0a6,
+  0x7f12, 0xf0a0, 0x7f11, 0xf09a, 0x7f11, 0xf094, 0x7f10, 0xf08d,
+  0x7f0f, 0xf087, 0x7f0e, 0xf081, 0x7f0e, 0xf07b, 0x7f0d, 0xf075,
+  0x7f0c, 0xf06e, 0x7f0b, 0xf068, 0x7f0b, 0xf062, 0x7f0a, 0xf05c,
+  0x7f09, 0xf055, 0x7f08, 0xf04f, 0x7f08, 0xf049, 0x7f07, 0xf043,
+  0x7f06, 0xf03c, 0x7f05, 0xf036, 0x7f04, 0xf030, 0x7f04, 0xf02a,
+  0x7f03, 0xf023, 0x7f02, 0xf01d, 0x7f01, 0xf017, 0x7f01, 0xf011,
+  0x7f00, 0xf00b, 0x7eff, 0xf004, 0x7efe, 0xeffe, 0x7efd, 0xeff8,
+  0x7efd, 0xeff2, 0x7efc, 0xefeb, 0x7efb, 0xefe5, 0x7efa, 0xefdf,
+  0x7ef9, 0xefd9, 0x7ef9, 0xefd2, 0x7ef8, 0xefcc, 0x7ef7, 0xefc6,
+  0x7ef6, 0xefc0, 0x7ef5, 0xefb9, 0x7ef5, 0xefb3, 0x7ef4, 0xefad,
+  0x7ef3, 0xefa7, 0x7ef2, 0xefa1, 0x7ef1, 0xef9a, 0x7ef1, 0xef94,
+  0x7ef0, 0xef8e, 0x7eef, 0xef88, 0x7eee, 0xef81, 0x7eed, 0xef7b,
+  0x7eed, 0xef75, 0x7eec, 0xef6f, 0x7eeb, 0xef68, 0x7eea, 0xef62,
+  0x7ee9, 0xef5c, 0x7ee9, 0xef56, 0x7ee8, 0xef50, 0x7ee7, 0xef49,
+  0x7ee6, 0xef43, 0x7ee5, 0xef3d, 0x7ee4, 0xef37, 0x7ee4, 0xef30,
+  0x7ee3, 0xef2a, 0x7ee2, 0xef24, 0x7ee1, 0xef1e, 0x7ee0, 0xef18,
+  0x7edf, 0xef11, 0x7edf, 0xef0b, 0x7ede, 0xef05, 0x7edd, 0xeeff,
+  0x7edc, 0xeef8, 0x7edb, 0xeef2, 0x7eda, 0xeeec, 0x7eda, 0xeee6,
+  0x7ed9, 0xeedf, 0x7ed8, 0xeed9, 0x7ed7, 0xeed3, 0x7ed6, 0xeecd,
+  0x7ed5, 0xeec7, 0x7ed5, 0xeec0, 0x7ed4, 0xeeba, 0x7ed3, 0xeeb4,
+  0x7ed2, 0xeeae, 0x7ed1, 0xeea7, 0x7ed0, 0xeea1, 0x7ecf, 0xee9b,
+  0x7ecf, 0xee95, 0x7ece, 0xee8f, 0x7ecd, 0xee88, 0x7ecc, 0xee82,
+  0x7ecb, 0xee7c, 0x7eca, 0xee76, 0x7ec9, 0xee6f, 0x7ec9, 0xee69,
+  0x7ec8, 0xee63, 0x7ec7, 0xee5d, 0x7ec6, 0xee57, 0x7ec5, 0xee50,
+  0x7ec4, 0xee4a, 0x7ec3, 0xee44, 0x7ec3, 0xee3e, 0x7ec2, 0xee37,
+  0x7ec1, 0xee31, 0x7ec0, 0xee2b, 0x7ebf, 0xee25, 0x7ebe, 0xee1f,
+  0x7ebd, 0xee18, 0x7ebc, 0xee12, 0x7ebb, 0xee0c, 0x7ebb, 0xee06,
+  0x7eba, 0xedff, 0x7eb9, 0xedf9, 0x7eb8, 0xedf3, 0x7eb7, 0xeded,
+  0x7eb6, 0xede7, 0x7eb5, 0xede0, 0x7eb4, 0xedda, 0x7eb4, 0xedd4,
+  0x7eb3, 0xedce, 0x7eb2, 0xedc7, 0x7eb1, 0xedc1, 0x7eb0, 0xedbb,
+  0x7eaf, 0xedb5, 0x7eae, 0xedaf, 0x7ead, 0xeda8, 0x7eac, 0xeda2,
+  0x7eab, 0xed9c, 0x7eab, 0xed96, 0x7eaa, 0xed8f, 0x7ea9, 0xed89,
+  0x7ea8, 0xed83, 0x7ea7, 0xed7d, 0x7ea6, 0xed77, 0x7ea5, 0xed70,
+  0x7ea4, 0xed6a, 0x7ea3, 0xed64, 0x7ea2, 0xed5e, 0x7ea1, 0xed58,
+  0x7ea1, 0xed51, 0x7ea0, 0xed4b, 0x7e9f, 0xed45, 0x7e9e, 0xed3f,
+  0x7e9d, 0xed38, 0x7e9c, 0xed32, 0x7e9b, 0xed2c, 0x7e9a, 0xed26,
+  0x7e99, 0xed20, 0x7e98, 0xed19, 0x7e97, 0xed13, 0x7e96, 0xed0d,
+  0x7e95, 0xed07, 0x7e94, 0xed01, 0x7e94, 0xecfa, 0x7e93, 0xecf4,
+  0x7e92, 0xecee, 0x7e91, 0xece8, 0x7e90, 0xece1, 0x7e8f, 0xecdb,
+  0x7e8e, 0xecd5, 0x7e8d, 0xeccf, 0x7e8c, 0xecc9, 0x7e8b, 0xecc2,
+  0x7e8a, 0xecbc, 0x7e89, 0xecb6, 0x7e88, 0xecb0, 0x7e87, 0xecaa,
+  0x7e86, 0xeca3, 0x7e85, 0xec9d, 0x7e84, 0xec97, 0x7e84, 0xec91,
+  0x7e83, 0xec8a, 0x7e82, 0xec84, 0x7e81, 0xec7e, 0x7e80, 0xec78,
+  0x7e7f, 0xec72, 0x7e7e, 0xec6b, 0x7e7d, 0xec65, 0x7e7c, 0xec5f,
+  0x7e7b, 0xec59, 0x7e7a, 0xec53, 0x7e79, 0xec4c, 0x7e78, 0xec46,
+  0x7e77, 0xec40, 0x7e76, 0xec3a, 0x7e75, 0xec34, 0x7e74, 0xec2d,
+  0x7e73, 0xec27, 0x7e72, 0xec21, 0x7e71, 0xec1b, 0x7e70, 0xec15,
+  0x7e6f, 0xec0e, 0x7e6e, 0xec08, 0x7e6d, 0xec02, 0x7e6c, 0xebfc,
+  0x7e6b, 0xebf5, 0x7e6a, 0xebef, 0x7e69, 0xebe9, 0x7e68, 0xebe3,
+  0x7e67, 0xebdd, 0x7e66, 0xebd6, 0x7e65, 0xebd0, 0x7e64, 0xebca,
+  0x7e63, 0xebc4, 0x7e62, 0xebbe, 0x7e61, 0xebb7, 0x7e60, 0xebb1,
+  0x7e5f, 0xebab, 0x7e5e, 0xeba5, 0x7e5d, 0xeb9f, 0x7e5c, 0xeb98,
+  0x7e5b, 0xeb92, 0x7e5a, 0xeb8c, 0x7e59, 0xeb86, 0x7e58, 0xeb80,
+  0x7e57, 0xeb79, 0x7e56, 0xeb73, 0x7e55, 0xeb6d, 0x7e54, 0xeb67,
+  0x7e53, 0xeb61, 0x7e52, 0xeb5a, 0x7e51, 0xeb54, 0x7e50, 0xeb4e,
+  0x7e4f, 0xeb48, 0x7e4e, 0xeb42, 0x7e4d, 0xeb3b, 0x7e4c, 0xeb35,
+  0x7e4b, 0xeb2f, 0x7e4a, 0xeb29, 0x7e49, 0xeb23, 0x7e48, 0xeb1c,
+  0x7e47, 0xeb16, 0x7e46, 0xeb10, 0x7e45, 0xeb0a, 0x7e44, 0xeb04,
+  0x7e43, 0xeafd, 0x7e42, 0xeaf7, 0x7e41, 0xeaf1, 0x7e40, 0xeaeb,
+  0x7e3f, 0xeae5, 0x7e3e, 0xeade, 0x7e3d, 0xead8, 0x7e3c, 0xead2,
+  0x7e3b, 0xeacc, 0x7e3a, 0xeac6, 0x7e39, 0xeabf, 0x7e38, 0xeab9,
+  0x7e37, 0xeab3, 0x7e35, 0xeaad, 0x7e34, 0xeaa7, 0x7e33, 0xeaa0,
+  0x7e32, 0xea9a, 0x7e31, 0xea94, 0x7e30, 0xea8e, 0x7e2f, 0xea88,
+  0x7e2e, 0xea81, 0x7e2d, 0xea7b, 0x7e2c, 0xea75, 0x7e2b, 0xea6f,
+  0x7e2a, 0xea69, 0x7e29, 0xea63, 0x7e28, 0xea5c, 0x7e27, 0xea56,
+  0x7e26, 0xea50, 0x7e25, 0xea4a, 0x7e24, 0xea44, 0x7e22, 0xea3d,
+  0x7e21, 0xea37, 0x7e20, 0xea31, 0x7e1f, 0xea2b, 0x7e1e, 0xea25,
+  0x7e1d, 0xea1e, 0x7e1c, 0xea18, 0x7e1b, 0xea12, 0x7e1a, 0xea0c,
+  0x7e19, 0xea06, 0x7e18, 0xe9ff, 0x7e17, 0xe9f9, 0x7e16, 0xe9f3,
+  0x7e14, 0xe9ed, 0x7e13, 0xe9e7, 0x7e12, 0xe9e1, 0x7e11, 0xe9da,
+  0x7e10, 0xe9d4, 0x7e0f, 0xe9ce, 0x7e0e, 0xe9c8, 0x7e0d, 0xe9c2,
+  0x7e0c, 0xe9bb, 0x7e0b, 0xe9b5, 0x7e0a, 0xe9af, 0x7e08, 0xe9a9,
+  0x7e07, 0xe9a3, 0x7e06, 0xe99c, 0x7e05, 0xe996, 0x7e04, 0xe990,
+  0x7e03, 0xe98a, 0x7e02, 0xe984, 0x7e01, 0xe97e, 0x7e00, 0xe977,
+  0x7dff, 0xe971, 0x7dfd, 0xe96b, 0x7dfc, 0xe965, 0x7dfb, 0xe95f,
+  0x7dfa, 0xe958, 0x7df9, 0xe952, 0x7df8, 0xe94c, 0x7df7, 0xe946,
+  0x7df6, 0xe940, 0x7df5, 0xe93a, 0x7df3, 0xe933, 0x7df2, 0xe92d,
+  0x7df1, 0xe927, 0x7df0, 0xe921, 0x7def, 0xe91b, 0x7dee, 0xe914,
+  0x7ded, 0xe90e, 0x7dec, 0xe908, 0x7dea, 0xe902, 0x7de9, 0xe8fc,
+  0x7de8, 0xe8f6, 0x7de7, 0xe8ef, 0x7de6, 0xe8e9, 0x7de5, 0xe8e3,
+  0x7de4, 0xe8dd, 0x7de2, 0xe8d7, 0x7de1, 0xe8d0, 0x7de0, 0xe8ca,
+  0x7ddf, 0xe8c4, 0x7dde, 0xe8be, 0x7ddd, 0xe8b8, 0x7ddc, 0xe8b2,
+  0x7dda, 0xe8ab, 0x7dd9, 0xe8a5, 0x7dd8, 0xe89f, 0x7dd7, 0xe899,
+  0x7dd6, 0xe893, 0x7dd5, 0xe88c, 0x7dd4, 0xe886, 0x7dd2, 0xe880,
+  0x7dd1, 0xe87a, 0x7dd0, 0xe874, 0x7dcf, 0xe86e, 0x7dce, 0xe867,
+  0x7dcd, 0xe861, 0x7dcc, 0xe85b, 0x7dca, 0xe855, 0x7dc9, 0xe84f,
+  0x7dc8, 0xe849, 0x7dc7, 0xe842, 0x7dc6, 0xe83c, 0x7dc5, 0xe836,
+  0x7dc3, 0xe830, 0x7dc2, 0xe82a, 0x7dc1, 0xe823, 0x7dc0, 0xe81d,
+  0x7dbf, 0xe817, 0x7dbd, 0xe811, 0x7dbc, 0xe80b, 0x7dbb, 0xe805,
+  0x7dba, 0xe7fe, 0x7db9, 0xe7f8, 0x7db8, 0xe7f2, 0x7db6, 0xe7ec,
+  0x7db5, 0xe7e6, 0x7db4, 0xe7e0, 0x7db3, 0xe7d9, 0x7db2, 0xe7d3,
+  0x7db0, 0xe7cd, 0x7daf, 0xe7c7, 0x7dae, 0xe7c1, 0x7dad, 0xe7bb,
+  0x7dac, 0xe7b4, 0x7dab, 0xe7ae, 0x7da9, 0xe7a8, 0x7da8, 0xe7a2,
+  0x7da7, 0xe79c, 0x7da6, 0xe796, 0x7da5, 0xe78f, 0x7da3, 0xe789,
+  0x7da2, 0xe783, 0x7da1, 0xe77d, 0x7da0, 0xe777, 0x7d9f, 0xe771,
+  0x7d9d, 0xe76a, 0x7d9c, 0xe764, 0x7d9b, 0xe75e, 0x7d9a, 0xe758,
+  0x7d98, 0xe752, 0x7d97, 0xe74c, 0x7d96, 0xe745, 0x7d95, 0xe73f,
+  0x7d94, 0xe739, 0x7d92, 0xe733, 0x7d91, 0xe72d, 0x7d90, 0xe727,
+  0x7d8f, 0xe720, 0x7d8e, 0xe71a, 0x7d8c, 0xe714, 0x7d8b, 0xe70e,
+  0x7d8a, 0xe708, 0x7d89, 0xe702, 0x7d87, 0xe6fb, 0x7d86, 0xe6f5,
+  0x7d85, 0xe6ef, 0x7d84, 0xe6e9, 0x7d82, 0xe6e3, 0x7d81, 0xe6dd,
+  0x7d80, 0xe6d6, 0x7d7f, 0xe6d0, 0x7d7e, 0xe6ca, 0x7d7c, 0xe6c4,
+  0x7d7b, 0xe6be, 0x7d7a, 0xe6b8, 0x7d79, 0xe6b2, 0x7d77, 0xe6ab,
+  0x7d76, 0xe6a5, 0x7d75, 0xe69f, 0x7d74, 0xe699, 0x7d72, 0xe693,
+  0x7d71, 0xe68d, 0x7d70, 0xe686, 0x7d6f, 0xe680, 0x7d6d, 0xe67a,
+  0x7d6c, 0xe674, 0x7d6b, 0xe66e, 0x7d6a, 0xe668, 0x7d68, 0xe661,
+  0x7d67, 0xe65b, 0x7d66, 0xe655, 0x7d65, 0xe64f, 0x7d63, 0xe649,
+  0x7d62, 0xe643, 0x7d61, 0xe63d, 0x7d60, 0xe636, 0x7d5e, 0xe630,
+  0x7d5d, 0xe62a, 0x7d5c, 0xe624, 0x7d5a, 0xe61e, 0x7d59, 0xe618,
+  0x7d58, 0xe611, 0x7d57, 0xe60b, 0x7d55, 0xe605, 0x7d54, 0xe5ff,
+  0x7d53, 0xe5f9, 0x7d52, 0xe5f3, 0x7d50, 0xe5ed, 0x7d4f, 0xe5e6,
+  0x7d4e, 0xe5e0, 0x7d4c, 0xe5da, 0x7d4b, 0xe5d4, 0x7d4a, 0xe5ce,
+  0x7d49, 0xe5c8, 0x7d47, 0xe5c2, 0x7d46, 0xe5bb, 0x7d45, 0xe5b5,
+  0x7d43, 0xe5af, 0x7d42, 0xe5a9, 0x7d41, 0xe5a3, 0x7d3f, 0xe59d,
+  0x7d3e, 0xe596, 0x7d3d, 0xe590, 0x7d3c, 0xe58a, 0x7d3a, 0xe584,
+  0x7d39, 0xe57e, 0x7d38, 0xe578, 0x7d36, 0xe572, 0x7d35, 0xe56b,
+  0x7d34, 0xe565, 0x7d32, 0xe55f, 0x7d31, 0xe559, 0x7d30, 0xe553,
+  0x7d2f, 0xe54d, 0x7d2d, 0xe547, 0x7d2c, 0xe540, 0x7d2b, 0xe53a,
+  0x7d29, 0xe534, 0x7d28, 0xe52e, 0x7d27, 0xe528, 0x7d25, 0xe522,
+  0x7d24, 0xe51c, 0x7d23, 0xe515, 0x7d21, 0xe50f, 0x7d20, 0xe509,
+  0x7d1f, 0xe503, 0x7d1d, 0xe4fd, 0x7d1c, 0xe4f7, 0x7d1b, 0xe4f1,
+  0x7d19, 0xe4ea, 0x7d18, 0xe4e4, 0x7d17, 0xe4de, 0x7d15, 0xe4d8,
+  0x7d14, 0xe4d2, 0x7d13, 0xe4cc, 0x7d11, 0xe4c6, 0x7d10, 0xe4bf,
+  0x7d0f, 0xe4b9, 0x7d0d, 0xe4b3, 0x7d0c, 0xe4ad, 0x7d0b, 0xe4a7,
+  0x7d09, 0xe4a1, 0x7d08, 0xe49b, 0x7d07, 0xe494, 0x7d05, 0xe48e,
+  0x7d04, 0xe488, 0x7d03, 0xe482, 0x7d01, 0xe47c, 0x7d00, 0xe476,
+  0x7cff, 0xe470, 0x7cfd, 0xe46a, 0x7cfc, 0xe463, 0x7cfb, 0xe45d,
+  0x7cf9, 0xe457, 0x7cf8, 0xe451, 0x7cf6, 0xe44b, 0x7cf5, 0xe445,
+  0x7cf4, 0xe43f, 0x7cf2, 0xe438, 0x7cf1, 0xe432, 0x7cf0, 0xe42c,
+  0x7cee, 0xe426, 0x7ced, 0xe420, 0x7cec, 0xe41a, 0x7cea, 0xe414,
+  0x7ce9, 0xe40e, 0x7ce7, 0xe407, 0x7ce6, 0xe401, 0x7ce5, 0xe3fb,
+  0x7ce3, 0xe3f5, 0x7ce2, 0xe3ef, 0x7ce1, 0xe3e9, 0x7cdf, 0xe3e3,
+  0x7cde, 0xe3dc, 0x7cdc, 0xe3d6, 0x7cdb, 0xe3d0, 0x7cda, 0xe3ca,
+  0x7cd8, 0xe3c4, 0x7cd7, 0xe3be, 0x7cd5, 0xe3b8, 0x7cd4, 0xe3b2,
+  0x7cd3, 0xe3ab, 0x7cd1, 0xe3a5, 0x7cd0, 0xe39f, 0x7ccf, 0xe399,
+  0x7ccd, 0xe393, 0x7ccc, 0xe38d, 0x7cca, 0xe387, 0x7cc9, 0xe381,
+  0x7cc8, 0xe37a, 0x7cc6, 0xe374, 0x7cc5, 0xe36e, 0x7cc3, 0xe368,
+  0x7cc2, 0xe362, 0x7cc1, 0xe35c, 0x7cbf, 0xe356, 0x7cbe, 0xe350,
+  0x7cbc, 0xe349, 0x7cbb, 0xe343, 0x7cb9, 0xe33d, 0x7cb8, 0xe337,
+  0x7cb7, 0xe331, 0x7cb5, 0xe32b, 0x7cb4, 0xe325, 0x7cb2, 0xe31f,
+  0x7cb1, 0xe318, 0x7cb0, 0xe312, 0x7cae, 0xe30c, 0x7cad, 0xe306,
+  0x7cab, 0xe300, 0x7caa, 0xe2fa, 0x7ca8, 0xe2f4, 0x7ca7, 0xe2ee,
+  0x7ca6, 0xe2e8, 0x7ca4, 0xe2e1, 0x7ca3, 0xe2db, 0x7ca1, 0xe2d5,
+  0x7ca0, 0xe2cf, 0x7c9e, 0xe2c9, 0x7c9d, 0xe2c3, 0x7c9c, 0xe2bd,
+  0x7c9a, 0xe2b7, 0x7c99, 0xe2b0, 0x7c97, 0xe2aa, 0x7c96, 0xe2a4,
+  0x7c94, 0xe29e, 0x7c93, 0xe298, 0x7c91, 0xe292, 0x7c90, 0xe28c,
+  0x7c8f, 0xe286, 0x7c8d, 0xe280, 0x7c8c, 0xe279, 0x7c8a, 0xe273,
+  0x7c89, 0xe26d, 0x7c87, 0xe267, 0x7c86, 0xe261, 0x7c84, 0xe25b,
+  0x7c83, 0xe255, 0x7c82, 0xe24f, 0x7c80, 0xe249, 0x7c7f, 0xe242,
+  0x7c7d, 0xe23c, 0x7c7c, 0xe236, 0x7c7a, 0xe230, 0x7c79, 0xe22a,
+  0x7c77, 0xe224, 0x7c76, 0xe21e, 0x7c74, 0xe218, 0x7c73, 0xe212,
+  0x7c71, 0xe20b, 0x7c70, 0xe205, 0x7c6e, 0xe1ff, 0x7c6d, 0xe1f9,
+  0x7c6c, 0xe1f3, 0x7c6a, 0xe1ed, 0x7c69, 0xe1e7, 0x7c67, 0xe1e1,
+  0x7c66, 0xe1db, 0x7c64, 0xe1d4, 0x7c63, 0xe1ce, 0x7c61, 0xe1c8,
+  0x7c60, 0xe1c2, 0x7c5e, 0xe1bc, 0x7c5d, 0xe1b6, 0x7c5b, 0xe1b0,
+  0x7c5a, 0xe1aa, 0x7c58, 0xe1a4, 0x7c57, 0xe19e, 0x7c55, 0xe197,
+  0x7c54, 0xe191, 0x7c52, 0xe18b, 0x7c51, 0xe185, 0x7c4f, 0xe17f,
+  0x7c4e, 0xe179, 0x7c4c, 0xe173, 0x7c4b, 0xe16d, 0x7c49, 0xe167,
+  0x7c48, 0xe160, 0x7c46, 0xe15a, 0x7c45, 0xe154, 0x7c43, 0xe14e,
+  0x7c42, 0xe148, 0x7c40, 0xe142, 0x7c3f, 0xe13c, 0x7c3d, 0xe136,
+  0x7c3c, 0xe130, 0x7c3a, 0xe12a, 0x7c39, 0xe123, 0x7c37, 0xe11d,
+  0x7c36, 0xe117, 0x7c34, 0xe111, 0x7c33, 0xe10b, 0x7c31, 0xe105,
+  0x7c30, 0xe0ff, 0x7c2e, 0xe0f9, 0x7c2d, 0xe0f3, 0x7c2b, 0xe0ed,
+  0x7c29, 0xe0e7, 0x7c28, 0xe0e0, 0x7c26, 0xe0da, 0x7c25, 0xe0d4,
+  0x7c23, 0xe0ce, 0x7c22, 0xe0c8, 0x7c20, 0xe0c2, 0x7c1f, 0xe0bc,
+  0x7c1d, 0xe0b6, 0x7c1c, 0xe0b0, 0x7c1a, 0xe0aa, 0x7c19, 0xe0a3,
+  0x7c17, 0xe09d, 0x7c16, 0xe097, 0x7c14, 0xe091, 0x7c12, 0xe08b,
+  0x7c11, 0xe085, 0x7c0f, 0xe07f, 0x7c0e, 0xe079, 0x7c0c, 0xe073,
+  0x7c0b, 0xe06d, 0x7c09, 0xe067, 0x7c08, 0xe061, 0x7c06, 0xe05a,
+  0x7c05, 0xe054, 0x7c03, 0xe04e, 0x7c01, 0xe048, 0x7c00, 0xe042,
+  0x7bfe, 0xe03c, 0x7bfd, 0xe036, 0x7bfb, 0xe030, 0x7bfa, 0xe02a,
+  0x7bf8, 0xe024, 0x7bf6, 0xe01e, 0x7bf5, 0xe017, 0x7bf3, 0xe011,
+  0x7bf2, 0xe00b, 0x7bf0, 0xe005, 0x7bef, 0xdfff, 0x7bed, 0xdff9,
+  0x7beb, 0xdff3, 0x7bea, 0xdfed, 0x7be8, 0xdfe7, 0x7be7, 0xdfe1,
+  0x7be5, 0xdfdb, 0x7be4, 0xdfd5, 0x7be2, 0xdfce, 0x7be0, 0xdfc8,
+  0x7bdf, 0xdfc2, 0x7bdd, 0xdfbc, 0x7bdc, 0xdfb6, 0x7bda, 0xdfb0,
+  0x7bd9, 0xdfaa, 0x7bd7, 0xdfa4, 0x7bd5, 0xdf9e, 0x7bd4, 0xdf98,
+  0x7bd2, 0xdf92, 0x7bd1, 0xdf8c, 0x7bcf, 0xdf86, 0x7bcd, 0xdf7f,
+  0x7bcc, 0xdf79, 0x7bca, 0xdf73, 0x7bc9, 0xdf6d, 0x7bc7, 0xdf67,
+  0x7bc5, 0xdf61, 0x7bc4, 0xdf5b, 0x7bc2, 0xdf55, 0x7bc1, 0xdf4f,
+  0x7bbf, 0xdf49, 0x7bbd, 0xdf43, 0x7bbc, 0xdf3d, 0x7bba, 0xdf37,
+  0x7bb9, 0xdf30, 0x7bb7, 0xdf2a, 0x7bb5, 0xdf24, 0x7bb4, 0xdf1e,
+  0x7bb2, 0xdf18, 0x7bb0, 0xdf12, 0x7baf, 0xdf0c, 0x7bad, 0xdf06,
+  0x7bac, 0xdf00, 0x7baa, 0xdefa, 0x7ba8, 0xdef4, 0x7ba7, 0xdeee,
+  0x7ba5, 0xdee8, 0x7ba3, 0xdee2, 0x7ba2, 0xdedb, 0x7ba0, 0xded5,
+  0x7b9f, 0xdecf, 0x7b9d, 0xdec9, 0x7b9b, 0xdec3, 0x7b9a, 0xdebd,
+  0x7b98, 0xdeb7, 0x7b96, 0xdeb1, 0x7b95, 0xdeab, 0x7b93, 0xdea5,
+  0x7b92, 0xde9f, 0x7b90, 0xde99, 0x7b8e, 0xde93, 0x7b8d, 0xde8d,
+  0x7b8b, 0xde87, 0x7b89, 0xde80, 0x7b88, 0xde7a, 0x7b86, 0xde74,
+  0x7b84, 0xde6e, 0x7b83, 0xde68, 0x7b81, 0xde62, 0x7b7f, 0xde5c,
+  0x7b7e, 0xde56, 0x7b7c, 0xde50, 0x7b7a, 0xde4a, 0x7b79, 0xde44,
+  0x7b77, 0xde3e, 0x7b76, 0xde38, 0x7b74, 0xde32, 0x7b72, 0xde2c,
+  0x7b71, 0xde26, 0x7b6f, 0xde1f, 0x7b6d, 0xde19, 0x7b6c, 0xde13,
+  0x7b6a, 0xde0d, 0x7b68, 0xde07, 0x7b67, 0xde01, 0x7b65, 0xddfb,
+  0x7b63, 0xddf5, 0x7b62, 0xddef, 0x7b60, 0xdde9, 0x7b5e, 0xdde3,
+  0x7b5d, 0xdddd, 0x7b5b, 0xddd7, 0x7b59, 0xddd1, 0x7b57, 0xddcb,
+  0x7b56, 0xddc5, 0x7b54, 0xddbf, 0x7b52, 0xddb9, 0x7b51, 0xddb2,
+  0x7b4f, 0xddac, 0x7b4d, 0xdda6, 0x7b4c, 0xdda0, 0x7b4a, 0xdd9a,
+  0x7b48, 0xdd94, 0x7b47, 0xdd8e, 0x7b45, 0xdd88, 0x7b43, 0xdd82,
+  0x7b42, 0xdd7c, 0x7b40, 0xdd76, 0x7b3e, 0xdd70, 0x7b3c, 0xdd6a,
+  0x7b3b, 0xdd64, 0x7b39, 0xdd5e, 0x7b37, 0xdd58, 0x7b36, 0xdd52,
+  0x7b34, 0xdd4c, 0x7b32, 0xdd46, 0x7b31, 0xdd40, 0x7b2f, 0xdd39,
+  0x7b2d, 0xdd33, 0x7b2b, 0xdd2d, 0x7b2a, 0xdd27, 0x7b28, 0xdd21,
+  0x7b26, 0xdd1b, 0x7b25, 0xdd15, 0x7b23, 0xdd0f, 0x7b21, 0xdd09,
+  0x7b1f, 0xdd03, 0x7b1e, 0xdcfd, 0x7b1c, 0xdcf7, 0x7b1a, 0xdcf1,
+  0x7b19, 0xdceb, 0x7b17, 0xdce5, 0x7b15, 0xdcdf, 0x7b13, 0xdcd9,
+  0x7b12, 0xdcd3, 0x7b10, 0xdccd, 0x7b0e, 0xdcc7, 0x7b0c, 0xdcc1,
+  0x7b0b, 0xdcbb, 0x7b09, 0xdcb5, 0x7b07, 0xdcae, 0x7b06, 0xdca8,
+  0x7b04, 0xdca2, 0x7b02, 0xdc9c, 0x7b00, 0xdc96, 0x7aff, 0xdc90,
+  0x7afd, 0xdc8a, 0x7afb, 0xdc84, 0x7af9, 0xdc7e, 0x7af8, 0xdc78,
+  0x7af6, 0xdc72, 0x7af4, 0xdc6c, 0x7af2, 0xdc66, 0x7af1, 0xdc60,
+  0x7aef, 0xdc5a, 0x7aed, 0xdc54, 0x7aeb, 0xdc4e, 0x7aea, 0xdc48,
+  0x7ae8, 0xdc42, 0x7ae6, 0xdc3c, 0x7ae4, 0xdc36, 0x7ae3, 0xdc30,
+  0x7ae1, 0xdc2a, 0x7adf, 0xdc24, 0x7add, 0xdc1e, 0x7adc, 0xdc18,
+  0x7ada, 0xdc12, 0x7ad8, 0xdc0c, 0x7ad6, 0xdc06, 0x7ad5, 0xdbff,
+  0x7ad3, 0xdbf9, 0x7ad1, 0xdbf3, 0x7acf, 0xdbed, 0x7acd, 0xdbe7,
+  0x7acc, 0xdbe1, 0x7aca, 0xdbdb, 0x7ac8, 0xdbd5, 0x7ac6, 0xdbcf,
+  0x7ac5, 0xdbc9, 0x7ac3, 0xdbc3, 0x7ac1, 0xdbbd, 0x7abf, 0xdbb7,
+  0x7abd, 0xdbb1, 0x7abc, 0xdbab, 0x7aba, 0xdba5, 0x7ab8, 0xdb9f,
+  0x7ab6, 0xdb99, 0x7ab5, 0xdb93, 0x7ab3, 0xdb8d, 0x7ab1, 0xdb87,
+  0x7aaf, 0xdb81, 0x7aad, 0xdb7b, 0x7aac, 0xdb75, 0x7aaa, 0xdb6f,
+  0x7aa8, 0xdb69, 0x7aa6, 0xdb63, 0x7aa4, 0xdb5d, 0x7aa3, 0xdb57,
+  0x7aa1, 0xdb51, 0x7a9f, 0xdb4b, 0x7a9d, 0xdb45, 0x7a9b, 0xdb3f,
+  0x7a9a, 0xdb39, 0x7a98, 0xdb33, 0x7a96, 0xdb2d, 0x7a94, 0xdb27,
+  0x7a92, 0xdb21, 0x7a91, 0xdb1b, 0x7a8f, 0xdb15, 0x7a8d, 0xdb0f,
+  0x7a8b, 0xdb09, 0x7a89, 0xdb03, 0x7a87, 0xdafd, 0x7a86, 0xdaf7,
+  0x7a84, 0xdaf1, 0x7a82, 0xdaea, 0x7a80, 0xdae4, 0x7a7e, 0xdade,
+  0x7a7d, 0xdad8, 0x7a7b, 0xdad2, 0x7a79, 0xdacc, 0x7a77, 0xdac6,
+  0x7a75, 0xdac0, 0x7a73, 0xdaba, 0x7a72, 0xdab4, 0x7a70, 0xdaae,
+  0x7a6e, 0xdaa8, 0x7a6c, 0xdaa2, 0x7a6a, 0xda9c, 0x7a68, 0xda96,
+  0x7a67, 0xda90, 0x7a65, 0xda8a, 0x7a63, 0xda84, 0x7a61, 0xda7e,
+  0x7a5f, 0xda78, 0x7a5d, 0xda72, 0x7a5c, 0xda6c, 0x7a5a, 0xda66,
+  0x7a58, 0xda60, 0x7a56, 0xda5a, 0x7a54, 0xda54, 0x7a52, 0xda4e,
+  0x7a50, 0xda48, 0x7a4f, 0xda42, 0x7a4d, 0xda3c, 0x7a4b, 0xda36,
+  0x7a49, 0xda30, 0x7a47, 0xda2a, 0x7a45, 0xda24, 0x7a43, 0xda1e,
+  0x7a42, 0xda18, 0x7a40, 0xda12, 0x7a3e, 0xda0c, 0x7a3c, 0xda06,
+  0x7a3a, 0xda00, 0x7a38, 0xd9fa, 0x7a36, 0xd9f4, 0x7a35, 0xd9ee,
+  0x7a33, 0xd9e8, 0x7a31, 0xd9e2, 0x7a2f, 0xd9dc, 0x7a2d, 0xd9d6,
+  0x7a2b, 0xd9d0, 0x7a29, 0xd9ca, 0x7a27, 0xd9c4, 0x7a26, 0xd9be,
+  0x7a24, 0xd9b8, 0x7a22, 0xd9b2, 0x7a20, 0xd9ac, 0x7a1e, 0xd9a6,
+  0x7a1c, 0xd9a0, 0x7a1a, 0xd99a, 0x7a18, 0xd994, 0x7a16, 0xd98e,
+  0x7a15, 0xd988, 0x7a13, 0xd982, 0x7a11, 0xd97c, 0x7a0f, 0xd976,
+  0x7a0d, 0xd970, 0x7a0b, 0xd96a, 0x7a09, 0xd964, 0x7a07, 0xd95e,
+  0x7a05, 0xd958, 0x7a04, 0xd952, 0x7a02, 0xd94c, 0x7a00, 0xd946,
+  0x79fe, 0xd940, 0x79fc, 0xd93a, 0x79fa, 0xd934, 0x79f8, 0xd92e,
+  0x79f6, 0xd928, 0x79f4, 0xd922, 0x79f2, 0xd91c, 0x79f0, 0xd917,
+  0x79ef, 0xd911, 0x79ed, 0xd90b, 0x79eb, 0xd905, 0x79e9, 0xd8ff,
+  0x79e7, 0xd8f9, 0x79e5, 0xd8f3, 0x79e3, 0xd8ed, 0x79e1, 0xd8e7,
+  0x79df, 0xd8e1, 0x79dd, 0xd8db, 0x79db, 0xd8d5, 0x79d9, 0xd8cf,
+  0x79d8, 0xd8c9, 0x79d6, 0xd8c3, 0x79d4, 0xd8bd, 0x79d2, 0xd8b7,
+  0x79d0, 0xd8b1, 0x79ce, 0xd8ab, 0x79cc, 0xd8a5, 0x79ca, 0xd89f,
+  0x79c8, 0xd899, 0x79c6, 0xd893, 0x79c4, 0xd88d, 0x79c2, 0xd887,
+  0x79c0, 0xd881, 0x79be, 0xd87b, 0x79bc, 0xd875, 0x79bb, 0xd86f,
+  0x79b9, 0xd869, 0x79b7, 0xd863, 0x79b5, 0xd85d, 0x79b3, 0xd857,
+  0x79b1, 0xd851, 0x79af, 0xd84b, 0x79ad, 0xd845, 0x79ab, 0xd83f,
+  0x79a9, 0xd839, 0x79a7, 0xd833, 0x79a5, 0xd82d, 0x79a3, 0xd827,
+  0x79a1, 0xd821, 0x799f, 0xd81b, 0x799d, 0xd815, 0x799b, 0xd80f,
+  0x7999, 0xd80a, 0x7997, 0xd804, 0x7995, 0xd7fe, 0x7993, 0xd7f8,
+  0x7992, 0xd7f2, 0x7990, 0xd7ec, 0x798e, 0xd7e6, 0x798c, 0xd7e0,
+  0x798a, 0xd7da, 0x7988, 0xd7d4, 0x7986, 0xd7ce, 0x7984, 0xd7c8,
+  0x7982, 0xd7c2, 0x7980, 0xd7bc, 0x797e, 0xd7b6, 0x797c, 0xd7b0,
+  0x797a, 0xd7aa, 0x7978, 0xd7a4, 0x7976, 0xd79e, 0x7974, 0xd798,
+  0x7972, 0xd792, 0x7970, 0xd78c, 0x796e, 0xd786, 0x796c, 0xd780,
+  0x796a, 0xd77a, 0x7968, 0xd774, 0x7966, 0xd76e, 0x7964, 0xd768,
+  0x7962, 0xd763, 0x7960, 0xd75d, 0x795e, 0xd757, 0x795c, 0xd751,
+  0x795a, 0xd74b, 0x7958, 0xd745, 0x7956, 0xd73f, 0x7954, 0xd739,
+  0x7952, 0xd733, 0x7950, 0xd72d, 0x794e, 0xd727, 0x794c, 0xd721,
+  0x794a, 0xd71b, 0x7948, 0xd715, 0x7946, 0xd70f, 0x7944, 0xd709,
+  0x7942, 0xd703, 0x7940, 0xd6fd, 0x793e, 0xd6f7, 0x793c, 0xd6f1,
+  0x793a, 0xd6eb, 0x7938, 0xd6e5, 0x7936, 0xd6e0, 0x7934, 0xd6da,
+  0x7932, 0xd6d4, 0x7930, 0xd6ce, 0x792e, 0xd6c8, 0x792c, 0xd6c2,
+  0x792a, 0xd6bc, 0x7928, 0xd6b6, 0x7926, 0xd6b0, 0x7924, 0xd6aa,
+  0x7922, 0xd6a4, 0x7920, 0xd69e, 0x791e, 0xd698, 0x791c, 0xd692,
+  0x7919, 0xd68c, 0x7917, 0xd686, 0x7915, 0xd680, 0x7913, 0xd67a,
+  0x7911, 0xd675, 0x790f, 0xd66f, 0x790d, 0xd669, 0x790b, 0xd663,
+  0x7909, 0xd65d, 0x7907, 0xd657, 0x7905, 0xd651, 0x7903, 0xd64b,
+  0x7901, 0xd645, 0x78ff, 0xd63f, 0x78fd, 0xd639, 0x78fb, 0xd633,
+  0x78f9, 0xd62d, 0x78f7, 0xd627, 0x78f5, 0xd621, 0x78f3, 0xd61b,
+  0x78f1, 0xd615, 0x78ee, 0xd610, 0x78ec, 0xd60a, 0x78ea, 0xd604,
+  0x78e8, 0xd5fe, 0x78e6, 0xd5f8, 0x78e4, 0xd5f2, 0x78e2, 0xd5ec,
+  0x78e0, 0xd5e6, 0x78de, 0xd5e0, 0x78dc, 0xd5da, 0x78da, 0xd5d4,
+  0x78d8, 0xd5ce, 0x78d6, 0xd5c8, 0x78d4, 0xd5c2, 0x78d2, 0xd5bc,
+  0x78cf, 0xd5b7, 0x78cd, 0xd5b1, 0x78cb, 0xd5ab, 0x78c9, 0xd5a5,
+  0x78c7, 0xd59f, 0x78c5, 0xd599, 0x78c3, 0xd593, 0x78c1, 0xd58d,
+  0x78bf, 0xd587, 0x78bd, 0xd581, 0x78bb, 0xd57b, 0x78b9, 0xd575,
+  0x78b6, 0xd56f, 0x78b4, 0xd569, 0x78b2, 0xd564, 0x78b0, 0xd55e,
+  0x78ae, 0xd558, 0x78ac, 0xd552, 0x78aa, 0xd54c, 0x78a8, 0xd546,
+  0x78a6, 0xd540, 0x78a4, 0xd53a, 0x78a2, 0xd534, 0x789f, 0xd52e,
+  0x789d, 0xd528, 0x789b, 0xd522, 0x7899, 0xd51c, 0x7897, 0xd517,
+  0x7895, 0xd511, 0x7893, 0xd50b, 0x7891, 0xd505, 0x788f, 0xd4ff,
+  0x788c, 0xd4f9, 0x788a, 0xd4f3, 0x7888, 0xd4ed, 0x7886, 0xd4e7,
+  0x7884, 0xd4e1, 0x7882, 0xd4db, 0x7880, 0xd4d5, 0x787e, 0xd4d0,
+  0x787c, 0xd4ca, 0x7879, 0xd4c4, 0x7877, 0xd4be, 0x7875, 0xd4b8,
+  0x7873, 0xd4b2, 0x7871, 0xd4ac, 0x786f, 0xd4a6, 0x786d, 0xd4a0,
+  0x786b, 0xd49a, 0x7868, 0xd494, 0x7866, 0xd48f, 0x7864, 0xd489,
+  0x7862, 0xd483, 0x7860, 0xd47d, 0x785e, 0xd477, 0x785c, 0xd471,
+  0x7859, 0xd46b, 0x7857, 0xd465, 0x7855, 0xd45f, 0x7853, 0xd459,
+  0x7851, 0xd453, 0x784f, 0xd44e, 0x784d, 0xd448, 0x784a, 0xd442,
+  0x7848, 0xd43c, 0x7846, 0xd436, 0x7844, 0xd430, 0x7842, 0xd42a,
+  0x7840, 0xd424, 0x783e, 0xd41e, 0x783b, 0xd418, 0x7839, 0xd412,
+  0x7837, 0xd40d, 0x7835, 0xd407, 0x7833, 0xd401, 0x7831, 0xd3fb,
+  0x782e, 0xd3f5, 0x782c, 0xd3ef, 0x782a, 0xd3e9, 0x7828, 0xd3e3,
+  0x7826, 0xd3dd, 0x7824, 0xd3d7, 0x7821, 0xd3d2, 0x781f, 0xd3cc,
+  0x781d, 0xd3c6, 0x781b, 0xd3c0, 0x7819, 0xd3ba, 0x7817, 0xd3b4,
+  0x7814, 0xd3ae, 0x7812, 0xd3a8, 0x7810, 0xd3a2, 0x780e, 0xd39d,
+  0x780c, 0xd397, 0x780a, 0xd391, 0x7807, 0xd38b, 0x7805, 0xd385,
+  0x7803, 0xd37f, 0x7801, 0xd379, 0x77ff, 0xd373, 0x77fc, 0xd36d,
+  0x77fa, 0xd368, 0x77f8, 0xd362, 0x77f6, 0xd35c, 0x77f4, 0xd356,
+  0x77f1, 0xd350, 0x77ef, 0xd34a, 0x77ed, 0xd344, 0x77eb, 0xd33e,
+  0x77e9, 0xd338, 0x77e6, 0xd333, 0x77e4, 0xd32d, 0x77e2, 0xd327,
+  0x77e0, 0xd321, 0x77de, 0xd31b, 0x77db, 0xd315, 0x77d9, 0xd30f,
+  0x77d7, 0xd309, 0x77d5, 0xd303, 0x77d3, 0xd2fe, 0x77d0, 0xd2f8,
+  0x77ce, 0xd2f2, 0x77cc, 0xd2ec, 0x77ca, 0xd2e6, 0x77c8, 0xd2e0,
+  0x77c5, 0xd2da, 0x77c3, 0xd2d4, 0x77c1, 0xd2cf, 0x77bf, 0xd2c9,
+  0x77bc, 0xd2c3, 0x77ba, 0xd2bd, 0x77b8, 0xd2b7, 0x77b6, 0xd2b1,
+  0x77b4, 0xd2ab, 0x77b1, 0xd2a5, 0x77af, 0xd2a0, 0x77ad, 0xd29a,
+  0x77ab, 0xd294, 0x77a8, 0xd28e, 0x77a6, 0xd288, 0x77a4, 0xd282,
+  0x77a2, 0xd27c, 0x77a0, 0xd276, 0x779d, 0xd271, 0x779b, 0xd26b,
+  0x7799, 0xd265, 0x7797, 0xd25f, 0x7794, 0xd259, 0x7792, 0xd253,
+  0x7790, 0xd24d, 0x778e, 0xd247, 0x778b, 0xd242, 0x7789, 0xd23c,
+  0x7787, 0xd236, 0x7785, 0xd230, 0x7782, 0xd22a, 0x7780, 0xd224,
+  0x777e, 0xd21e, 0x777c, 0xd219, 0x7779, 0xd213, 0x7777, 0xd20d,
+  0x7775, 0xd207, 0x7773, 0xd201, 0x7770, 0xd1fb, 0x776e, 0xd1f5,
+  0x776c, 0xd1ef, 0x776a, 0xd1ea, 0x7767, 0xd1e4, 0x7765, 0xd1de,
+  0x7763, 0xd1d8, 0x7760, 0xd1d2, 0x775e, 0xd1cc, 0x775c, 0xd1c6,
+  0x775a, 0xd1c1, 0x7757, 0xd1bb, 0x7755, 0xd1b5, 0x7753, 0xd1af,
+  0x7751, 0xd1a9, 0x774e, 0xd1a3, 0x774c, 0xd19d, 0x774a, 0xd198,
+  0x7747, 0xd192, 0x7745, 0xd18c, 0x7743, 0xd186, 0x7741, 0xd180,
+  0x773e, 0xd17a, 0x773c, 0xd174, 0x773a, 0xd16f, 0x7738, 0xd169,
+  0x7735, 0xd163, 0x7733, 0xd15d, 0x7731, 0xd157, 0x772e, 0xd151,
+  0x772c, 0xd14b, 0x772a, 0xd146, 0x7727, 0xd140, 0x7725, 0xd13a,
+  0x7723, 0xd134, 0x7721, 0xd12e, 0x771e, 0xd128, 0x771c, 0xd123,
+  0x771a, 0xd11d, 0x7717, 0xd117, 0x7715, 0xd111, 0x7713, 0xd10b,
+  0x7710, 0xd105, 0x770e, 0xd0ff, 0x770c, 0xd0fa, 0x770a, 0xd0f4,
+  0x7707, 0xd0ee, 0x7705, 0xd0e8, 0x7703, 0xd0e2, 0x7700, 0xd0dc,
+  0x76fe, 0xd0d7, 0x76fc, 0xd0d1, 0x76f9, 0xd0cb, 0x76f7, 0xd0c5,
+  0x76f5, 0xd0bf, 0x76f2, 0xd0b9, 0x76f0, 0xd0b4, 0x76ee, 0xd0ae,
+  0x76eb, 0xd0a8, 0x76e9, 0xd0a2, 0x76e7, 0xd09c, 0x76e4, 0xd096,
+  0x76e2, 0xd091, 0x76e0, 0xd08b, 0x76dd, 0xd085, 0x76db, 0xd07f,
+  0x76d9, 0xd079, 0x76d6, 0xd073, 0x76d4, 0xd06e, 0x76d2, 0xd068,
+  0x76cf, 0xd062, 0x76cd, 0xd05c, 0x76cb, 0xd056, 0x76c8, 0xd050,
+  0x76c6, 0xd04b, 0x76c4, 0xd045, 0x76c1, 0xd03f, 0x76bf, 0xd039,
+  0x76bd, 0xd033, 0x76ba, 0xd02d, 0x76b8, 0xd028, 0x76b6, 0xd022,
+  0x76b3, 0xd01c, 0x76b1, 0xd016, 0x76af, 0xd010, 0x76ac, 0xd00a,
+  0x76aa, 0xd005, 0x76a8, 0xcfff, 0x76a5, 0xcff9, 0x76a3, 0xcff3,
+  0x76a0, 0xcfed, 0x769e, 0xcfe7, 0x769c, 0xcfe2, 0x7699, 0xcfdc,
+  0x7697, 0xcfd6, 0x7695, 0xcfd0, 0x7692, 0xcfca, 0x7690, 0xcfc5,
+  0x768e, 0xcfbf, 0x768b, 0xcfb9, 0x7689, 0xcfb3, 0x7686, 0xcfad,
+  0x7684, 0xcfa7, 0x7682, 0xcfa2, 0x767f, 0xcf9c, 0x767d, 0xcf96,
+  0x767b, 0xcf90, 0x7678, 0xcf8a, 0x7676, 0xcf85, 0x7673, 0xcf7f,
+  0x7671, 0xcf79, 0x766f, 0xcf73, 0x766c, 0xcf6d, 0x766a, 0xcf67,
+  0x7668, 0xcf62, 0x7665, 0xcf5c, 0x7663, 0xcf56, 0x7660, 0xcf50,
+  0x765e, 0xcf4a, 0x765c, 0xcf45, 0x7659, 0xcf3f, 0x7657, 0xcf39,
+  0x7654, 0xcf33, 0x7652, 0xcf2d, 0x7650, 0xcf28, 0x764d, 0xcf22,
+  0x764b, 0xcf1c, 0x7648, 0xcf16, 0x7646, 0xcf10, 0x7644, 0xcf0b,
+  0x7641, 0xcf05, 0x763f, 0xceff, 0x763c, 0xcef9, 0x763a, 0xcef3,
+  0x7638, 0xceee, 0x7635, 0xcee8, 0x7633, 0xcee2, 0x7630, 0xcedc,
+  0x762e, 0xced6, 0x762b, 0xced1, 0x7629, 0xcecb, 0x7627, 0xcec5,
+  0x7624, 0xcebf, 0x7622, 0xceb9, 0x761f, 0xceb4, 0x761d, 0xceae,
+  0x761b, 0xcea8, 0x7618, 0xcea2, 0x7616, 0xce9c, 0x7613, 0xce97,
+  0x7611, 0xce91, 0x760e, 0xce8b, 0x760c, 0xce85, 0x760a, 0xce7f,
+  0x7607, 0xce7a, 0x7605, 0xce74, 0x7602, 0xce6e, 0x7600, 0xce68,
+  0x75fd, 0xce62, 0x75fb, 0xce5d, 0x75f9, 0xce57, 0x75f6, 0xce51,
+  0x75f4, 0xce4b, 0x75f1, 0xce45, 0x75ef, 0xce40, 0x75ec, 0xce3a,
+  0x75ea, 0xce34, 0x75e7, 0xce2e, 0x75e5, 0xce28, 0x75e3, 0xce23,
+  0x75e0, 0xce1d, 0x75de, 0xce17, 0x75db, 0xce11, 0x75d9, 0xce0c,
+  0x75d6, 0xce06, 0x75d4, 0xce00, 0x75d1, 0xcdfa, 0x75cf, 0xcdf4,
+  0x75cc, 0xcdef, 0x75ca, 0xcde9, 0x75c8, 0xcde3, 0x75c5, 0xcddd,
+  0x75c3, 0xcdd8, 0x75c0, 0xcdd2, 0x75be, 0xcdcc, 0x75bb, 0xcdc6,
+  0x75b9, 0xcdc0, 0x75b6, 0xcdbb, 0x75b4, 0xcdb5, 0x75b1, 0xcdaf,
+  0x75af, 0xcda9, 0x75ac, 0xcda3, 0x75aa, 0xcd9e, 0x75a7, 0xcd98,
+  0x75a5, 0xcd92, 0x75a3, 0xcd8c, 0x75a0, 0xcd87, 0x759e, 0xcd81,
+  0x759b, 0xcd7b, 0x7599, 0xcd75, 0x7596, 0xcd70, 0x7594, 0xcd6a,
+  0x7591, 0xcd64, 0x758f, 0xcd5e, 0x758c, 0xcd58, 0x758a, 0xcd53,
+  0x7587, 0xcd4d, 0x7585, 0xcd47, 0x7582, 0xcd41, 0x7580, 0xcd3c,
+  0x757d, 0xcd36, 0x757b, 0xcd30, 0x7578, 0xcd2a, 0x7576, 0xcd25,
+  0x7573, 0xcd1f, 0x7571, 0xcd19, 0x756e, 0xcd13, 0x756c, 0xcd0d,
+  0x7569, 0xcd08, 0x7567, 0xcd02, 0x7564, 0xccfc, 0x7562, 0xccf6,
+  0x755f, 0xccf1, 0x755d, 0xcceb, 0x755a, 0xcce5, 0x7558, 0xccdf,
+  0x7555, 0xccda, 0x7553, 0xccd4, 0x7550, 0xccce, 0x754e, 0xccc8,
+  0x754b, 0xccc3, 0x7549, 0xccbd, 0x7546, 0xccb7, 0x7544, 0xccb1,
+  0x7541, 0xccac, 0x753f, 0xcca6, 0x753c, 0xcca0, 0x753a, 0xcc9a,
+  0x7537, 0xcc95, 0x7535, 0xcc8f, 0x7532, 0xcc89, 0x752f, 0xcc83,
+  0x752d, 0xcc7e, 0x752a, 0xcc78, 0x7528, 0xcc72, 0x7525, 0xcc6c,
+  0x7523, 0xcc67, 0x7520, 0xcc61, 0x751e, 0xcc5b, 0x751b, 0xcc55,
+  0x7519, 0xcc50, 0x7516, 0xcc4a, 0x7514, 0xcc44, 0x7511, 0xcc3e,
+  0x750f, 0xcc39, 0x750c, 0xcc33, 0x7509, 0xcc2d, 0x7507, 0xcc27,
+  0x7504, 0xcc22, 0x7502, 0xcc1c, 0x74ff, 0xcc16, 0x74fd, 0xcc10,
+  0x74fa, 0xcc0b, 0x74f8, 0xcc05, 0x74f5, 0xcbff, 0x74f2, 0xcbf9,
+  0x74f0, 0xcbf4, 0x74ed, 0xcbee, 0x74eb, 0xcbe8, 0x74e8, 0xcbe2,
+  0x74e6, 0xcbdd, 0x74e3, 0xcbd7, 0x74e1, 0xcbd1, 0x74de, 0xcbcb,
+  0x74db, 0xcbc6, 0x74d9, 0xcbc0, 0x74d6, 0xcbba, 0x74d4, 0xcbb5,
+  0x74d1, 0xcbaf, 0x74cf, 0xcba9, 0x74cc, 0xcba3, 0x74c9, 0xcb9e,
+  0x74c7, 0xcb98, 0x74c4, 0xcb92, 0x74c2, 0xcb8c, 0x74bf, 0xcb87,
+  0x74bd, 0xcb81, 0x74ba, 0xcb7b, 0x74b7, 0xcb75, 0x74b5, 0xcb70,
+  0x74b2, 0xcb6a, 0x74b0, 0xcb64, 0x74ad, 0xcb5f, 0x74ab, 0xcb59,
+  0x74a8, 0xcb53, 0x74a5, 0xcb4d, 0x74a3, 0xcb48, 0x74a0, 0xcb42,
+  0x749e, 0xcb3c, 0x749b, 0xcb36, 0x7498, 0xcb31, 0x7496, 0xcb2b,
+  0x7493, 0xcb25, 0x7491, 0xcb20, 0x748e, 0xcb1a, 0x748b, 0xcb14,
+  0x7489, 0xcb0e, 0x7486, 0xcb09, 0x7484, 0xcb03, 0x7481, 0xcafd,
+  0x747e, 0xcaf8, 0x747c, 0xcaf2, 0x7479, 0xcaec, 0x7477, 0xcae6,
+  0x7474, 0xcae1, 0x7471, 0xcadb, 0x746f, 0xcad5, 0x746c, 0xcad0,
+  0x746a, 0xcaca, 0x7467, 0xcac4, 0x7464, 0xcabe, 0x7462, 0xcab9,
+  0x745f, 0xcab3, 0x745c, 0xcaad, 0x745a, 0xcaa8, 0x7457, 0xcaa2,
+  0x7455, 0xca9c, 0x7452, 0xca96, 0x744f, 0xca91, 0x744d, 0xca8b,
+  0x744a, 0xca85, 0x7448, 0xca80, 0x7445, 0xca7a, 0x7442, 0xca74,
+  0x7440, 0xca6e, 0x743d, 0xca69, 0x743a, 0xca63, 0x7438, 0xca5d,
+  0x7435, 0xca58, 0x7432, 0xca52, 0x7430, 0xca4c, 0x742d, 0xca46,
+  0x742b, 0xca41, 0x7428, 0xca3b, 0x7425, 0xca35, 0x7423, 0xca30,
+  0x7420, 0xca2a, 0x741d, 0xca24, 0x741b, 0xca1f, 0x7418, 0xca19,
+  0x7415, 0xca13, 0x7413, 0xca0d, 0x7410, 0xca08, 0x740d, 0xca02,
+  0x740b, 0xc9fc, 0x7408, 0xc9f7, 0x7406, 0xc9f1, 0x7403, 0xc9eb,
+  0x7400, 0xc9e6, 0x73fe, 0xc9e0, 0x73fb, 0xc9da, 0x73f8, 0xc9d5,
+  0x73f6, 0xc9cf, 0x73f3, 0xc9c9, 0x73f0, 0xc9c3, 0x73ee, 0xc9be,
+  0x73eb, 0xc9b8, 0x73e8, 0xc9b2, 0x73e6, 0xc9ad, 0x73e3, 0xc9a7,
+  0x73e0, 0xc9a1, 0x73de, 0xc99c, 0x73db, 0xc996, 0x73d8, 0xc990,
+  0x73d6, 0xc98b, 0x73d3, 0xc985, 0x73d0, 0xc97f, 0x73ce, 0xc97a,
+  0x73cb, 0xc974, 0x73c8, 0xc96e, 0x73c6, 0xc968, 0x73c3, 0xc963,
+  0x73c0, 0xc95d, 0x73bd, 0xc957, 0x73bb, 0xc952, 0x73b8, 0xc94c,
+  0x73b5, 0xc946, 0x73b3, 0xc941, 0x73b0, 0xc93b, 0x73ad, 0xc935,
+  0x73ab, 0xc930, 0x73a8, 0xc92a, 0x73a5, 0xc924, 0x73a3, 0xc91f,
+  0x73a0, 0xc919, 0x739d, 0xc913, 0x739b, 0xc90e, 0x7398, 0xc908,
+  0x7395, 0xc902, 0x7392, 0xc8fd, 0x7390, 0xc8f7, 0x738d, 0xc8f1,
+  0x738a, 0xc8ec, 0x7388, 0xc8e6, 0x7385, 0xc8e0, 0x7382, 0xc8db,
+  0x737f, 0xc8d5, 0x737d, 0xc8cf, 0x737a, 0xc8ca, 0x7377, 0xc8c4,
+  0x7375, 0xc8be, 0x7372, 0xc8b9, 0x736f, 0xc8b3, 0x736c, 0xc8ad,
+  0x736a, 0xc8a8, 0x7367, 0xc8a2, 0x7364, 0xc89c, 0x7362, 0xc897,
+  0x735f, 0xc891, 0x735c, 0xc88b, 0x7359, 0xc886, 0x7357, 0xc880,
+  0x7354, 0xc87a, 0x7351, 0xc875, 0x734f, 0xc86f, 0x734c, 0xc869,
+  0x7349, 0xc864, 0x7346, 0xc85e, 0x7344, 0xc858, 0x7341, 0xc853,
+  0x733e, 0xc84d, 0x733b, 0xc847, 0x7339, 0xc842, 0x7336, 0xc83c,
+  0x7333, 0xc836, 0x7330, 0xc831, 0x732e, 0xc82b, 0x732b, 0xc825,
+  0x7328, 0xc820, 0x7326, 0xc81a, 0x7323, 0xc814, 0x7320, 0xc80f,
+  0x731d, 0xc809, 0x731b, 0xc803, 0x7318, 0xc7fe, 0x7315, 0xc7f8,
+  0x7312, 0xc7f3, 0x7310, 0xc7ed, 0x730d, 0xc7e7, 0x730a, 0xc7e2,
+  0x7307, 0xc7dc, 0x7305, 0xc7d6, 0x7302, 0xc7d1, 0x72ff, 0xc7cb,
+  0x72fc, 0xc7c5, 0x72f9, 0xc7c0, 0x72f7, 0xc7ba, 0x72f4, 0xc7b4,
+  0x72f1, 0xc7af, 0x72ee, 0xc7a9, 0x72ec, 0xc7a3, 0x72e9, 0xc79e,
+  0x72e6, 0xc798, 0x72e3, 0xc793, 0x72e1, 0xc78d, 0x72de, 0xc787,
+  0x72db, 0xc782, 0x72d8, 0xc77c, 0x72d5, 0xc776, 0x72d3, 0xc771,
+  0x72d0, 0xc76b, 0x72cd, 0xc765, 0x72ca, 0xc760, 0x72c8, 0xc75a,
+  0x72c5, 0xc755, 0x72c2, 0xc74f, 0x72bf, 0xc749, 0x72bc, 0xc744,
+  0x72ba, 0xc73e, 0x72b7, 0xc738, 0x72b4, 0xc733, 0x72b1, 0xc72d,
+  0x72af, 0xc728, 0x72ac, 0xc722, 0x72a9, 0xc71c, 0x72a6, 0xc717,
+  0x72a3, 0xc711, 0x72a1, 0xc70b, 0x729e, 0xc706, 0x729b, 0xc700,
+  0x7298, 0xc6fa, 0x7295, 0xc6f5, 0x7293, 0xc6ef, 0x7290, 0xc6ea,
+  0x728d, 0xc6e4, 0x728a, 0xc6de, 0x7287, 0xc6d9, 0x7285, 0xc6d3,
+  0x7282, 0xc6ce, 0x727f, 0xc6c8, 0x727c, 0xc6c2, 0x7279, 0xc6bd,
+  0x7276, 0xc6b7, 0x7274, 0xc6b1, 0x7271, 0xc6ac, 0x726e, 0xc6a6,
+  0x726b, 0xc6a1, 0x7268, 0xc69b, 0x7266, 0xc695, 0x7263, 0xc690,
+  0x7260, 0xc68a, 0x725d, 0xc684, 0x725a, 0xc67f, 0x7257, 0xc679,
+  0x7255, 0xc674, 0x7252, 0xc66e, 0x724f, 0xc668, 0x724c, 0xc663,
+  0x7249, 0xc65d, 0x7247, 0xc658, 0x7244, 0xc652, 0x7241, 0xc64c,
+  0x723e, 0xc647, 0x723b, 0xc641, 0x7238, 0xc63c, 0x7236, 0xc636,
+  0x7233, 0xc630, 0x7230, 0xc62b, 0x722d, 0xc625, 0x722a, 0xc620,
+  0x7227, 0xc61a, 0x7224, 0xc614, 0x7222, 0xc60f, 0x721f, 0xc609,
+  0x721c, 0xc603, 0x7219, 0xc5fe, 0x7216, 0xc5f8, 0x7213, 0xc5f3,
+  0x7211, 0xc5ed, 0x720e, 0xc5e7, 0x720b, 0xc5e2, 0x7208, 0xc5dc,
+  0x7205, 0xc5d7, 0x7202, 0xc5d1, 0x71ff, 0xc5cc, 0x71fd, 0xc5c6,
+  0x71fa, 0xc5c0, 0x71f7, 0xc5bb, 0x71f4, 0xc5b5, 0x71f1, 0xc5b0,
+  0x71ee, 0xc5aa, 0x71eb, 0xc5a4, 0x71e9, 0xc59f, 0x71e6, 0xc599,
+  0x71e3, 0xc594, 0x71e0, 0xc58e, 0x71dd, 0xc588, 0x71da, 0xc583,
+  0x71d7, 0xc57d, 0x71d4, 0xc578, 0x71d2, 0xc572, 0x71cf, 0xc56c,
+  0x71cc, 0xc567, 0x71c9, 0xc561, 0x71c6, 0xc55c, 0x71c3, 0xc556,
+  0x71c0, 0xc551, 0x71bd, 0xc54b, 0x71bb, 0xc545, 0x71b8, 0xc540,
+  0x71b5, 0xc53a, 0x71b2, 0xc535, 0x71af, 0xc52f, 0x71ac, 0xc529,
+  0x71a9, 0xc524, 0x71a6, 0xc51e, 0x71a3, 0xc519, 0x71a1, 0xc513,
+  0x719e, 0xc50e, 0x719b, 0xc508, 0x7198, 0xc502, 0x7195, 0xc4fd,
+  0x7192, 0xc4f7, 0x718f, 0xc4f2, 0x718c, 0xc4ec, 0x7189, 0xc4e7,
+  0x7186, 0xc4e1, 0x7184, 0xc4db, 0x7181, 0xc4d6, 0x717e, 0xc4d0,
+  0x717b, 0xc4cb, 0x7178, 0xc4c5, 0x7175, 0xc4c0, 0x7172, 0xc4ba,
+  0x716f, 0xc4b4, 0x716c, 0xc4af, 0x7169, 0xc4a9, 0x7167, 0xc4a4,
+  0x7164, 0xc49e, 0x7161, 0xc499, 0x715e, 0xc493, 0x715b, 0xc48d,
+  0x7158, 0xc488, 0x7155, 0xc482, 0x7152, 0xc47d, 0x714f, 0xc477,
+  0x714c, 0xc472, 0x7149, 0xc46c, 0x7146, 0xc467, 0x7143, 0xc461,
+  0x7141, 0xc45b, 0x713e, 0xc456, 0x713b, 0xc450, 0x7138, 0xc44b,
+  0x7135, 0xc445, 0x7132, 0xc440, 0x712f, 0xc43a, 0x712c, 0xc434,
+  0x7129, 0xc42f, 0x7126, 0xc429, 0x7123, 0xc424, 0x7120, 0xc41e,
+  0x711d, 0xc419, 0x711a, 0xc413, 0x7117, 0xc40e, 0x7114, 0xc408,
+  0x7112, 0xc403, 0x710f, 0xc3fd, 0x710c, 0xc3f7, 0x7109, 0xc3f2,
+  0x7106, 0xc3ec, 0x7103, 0xc3e7, 0x7100, 0xc3e1, 0x70fd, 0xc3dc,
+  0x70fa, 0xc3d6, 0x70f7, 0xc3d1, 0x70f4, 0xc3cb, 0x70f1, 0xc3c5,
+  0x70ee, 0xc3c0, 0x70eb, 0xc3ba, 0x70e8, 0xc3b5, 0x70e5, 0xc3af,
+  0x70e2, 0xc3aa, 0x70df, 0xc3a4, 0x70dc, 0xc39f, 0x70d9, 0xc399,
+  0x70d6, 0xc394, 0x70d3, 0xc38e, 0x70d1, 0xc389, 0x70ce, 0xc383,
+  0x70cb, 0xc37d, 0x70c8, 0xc378, 0x70c5, 0xc372, 0x70c2, 0xc36d,
+  0x70bf, 0xc367, 0x70bc, 0xc362, 0x70b9, 0xc35c, 0x70b6, 0xc357,
+  0x70b3, 0xc351, 0x70b0, 0xc34c, 0x70ad, 0xc346, 0x70aa, 0xc341,
+  0x70a7, 0xc33b, 0x70a4, 0xc336, 0x70a1, 0xc330, 0x709e, 0xc32a,
+  0x709b, 0xc325, 0x7098, 0xc31f, 0x7095, 0xc31a, 0x7092, 0xc314,
+  0x708f, 0xc30f, 0x708c, 0xc309, 0x7089, 0xc304, 0x7086, 0xc2fe,
+  0x7083, 0xc2f9, 0x7080, 0xc2f3, 0x707d, 0xc2ee, 0x707a, 0xc2e8,
+  0x7077, 0xc2e3, 0x7074, 0xc2dd, 0x7071, 0xc2d8, 0x706e, 0xc2d2,
+  0x706b, 0xc2cd, 0x7068, 0xc2c7, 0x7065, 0xc2c2, 0x7062, 0xc2bc,
+  0x705f, 0xc2b7, 0x705c, 0xc2b1, 0x7059, 0xc2ab, 0x7056, 0xc2a6,
+  0x7053, 0xc2a0, 0x7050, 0xc29b, 0x704d, 0xc295, 0x704a, 0xc290,
+  0x7047, 0xc28a, 0x7044, 0xc285, 0x7041, 0xc27f, 0x703e, 0xc27a,
+  0x703b, 0xc274, 0x7038, 0xc26f, 0x7035, 0xc269, 0x7032, 0xc264,
+  0x702f, 0xc25e, 0x702c, 0xc259, 0x7029, 0xc253, 0x7026, 0xc24e,
+  0x7023, 0xc248, 0x7020, 0xc243, 0x701d, 0xc23d, 0x7019, 0xc238,
+  0x7016, 0xc232, 0x7013, 0xc22d, 0x7010, 0xc227, 0x700d, 0xc222,
+  0x700a, 0xc21c, 0x7007, 0xc217, 0x7004, 0xc211, 0x7001, 0xc20c,
+  0x6ffe, 0xc206, 0x6ffb, 0xc201, 0x6ff8, 0xc1fb, 0x6ff5, 0xc1f6,
+  0x6ff2, 0xc1f0, 0x6fef, 0xc1eb, 0x6fec, 0xc1e5, 0x6fe9, 0xc1e0,
+  0x6fe6, 0xc1da, 0x6fe3, 0xc1d5, 0x6fe0, 0xc1cf, 0x6fdd, 0xc1ca,
+  0x6fda, 0xc1c4, 0x6fd6, 0xc1bf, 0x6fd3, 0xc1b9, 0x6fd0, 0xc1b4,
+  0x6fcd, 0xc1ae, 0x6fca, 0xc1a9, 0x6fc7, 0xc1a3, 0x6fc4, 0xc19e,
+  0x6fc1, 0xc198, 0x6fbe, 0xc193, 0x6fbb, 0xc18d, 0x6fb8, 0xc188,
+  0x6fb5, 0xc183, 0x6fb2, 0xc17d, 0x6faf, 0xc178, 0x6fac, 0xc172,
+  0x6fa9, 0xc16d, 0x6fa5, 0xc167, 0x6fa2, 0xc162, 0x6f9f, 0xc15c,
+  0x6f9c, 0xc157, 0x6f99, 0xc151, 0x6f96, 0xc14c, 0x6f93, 0xc146,
+  0x6f90, 0xc141, 0x6f8d, 0xc13b, 0x6f8a, 0xc136, 0x6f87, 0xc130,
+  0x6f84, 0xc12b, 0x6f81, 0xc125, 0x6f7d, 0xc120, 0x6f7a, 0xc11a,
+  0x6f77, 0xc115, 0x6f74, 0xc10f, 0x6f71, 0xc10a, 0x6f6e, 0xc105,
+  0x6f6b, 0xc0ff, 0x6f68, 0xc0fa, 0x6f65, 0xc0f4, 0x6f62, 0xc0ef,
+  0x6f5f, 0xc0e9, 0x6f5b, 0xc0e4, 0x6f58, 0xc0de, 0x6f55, 0xc0d9,
+  0x6f52, 0xc0d3, 0x6f4f, 0xc0ce, 0x6f4c, 0xc0c8, 0x6f49, 0xc0c3,
+  0x6f46, 0xc0bd, 0x6f43, 0xc0b8, 0x6f3f, 0xc0b3, 0x6f3c, 0xc0ad,
+  0x6f39, 0xc0a8, 0x6f36, 0xc0a2, 0x6f33, 0xc09d, 0x6f30, 0xc097,
+  0x6f2d, 0xc092, 0x6f2a, 0xc08c, 0x6f27, 0xc087, 0x6f23, 0xc081,
+  0x6f20, 0xc07c, 0x6f1d, 0xc077, 0x6f1a, 0xc071, 0x6f17, 0xc06c,
+  0x6f14, 0xc066, 0x6f11, 0xc061, 0x6f0e, 0xc05b, 0x6f0b, 0xc056,
+  0x6f07, 0xc050, 0x6f04, 0xc04b, 0x6f01, 0xc045, 0x6efe, 0xc040,
+  0x6efb, 0xc03b, 0x6ef8, 0xc035, 0x6ef5, 0xc030, 0x6ef1, 0xc02a,
+  0x6eee, 0xc025, 0x6eeb, 0xc01f, 0x6ee8, 0xc01a, 0x6ee5, 0xc014,
+  0x6ee2, 0xc00f, 0x6edf, 0xc00a, 0x6edc, 0xc004, 0x6ed8, 0xbfff,
+  0x6ed5, 0xbff9, 0x6ed2, 0xbff4, 0x6ecf, 0xbfee, 0x6ecc, 0xbfe9,
+  0x6ec9, 0xbfe3, 0x6ec6, 0xbfde, 0x6ec2, 0xbfd9, 0x6ebf, 0xbfd3,
+  0x6ebc, 0xbfce, 0x6eb9, 0xbfc8, 0x6eb6, 0xbfc3, 0x6eb3, 0xbfbd,
+  0x6eaf, 0xbfb8, 0x6eac, 0xbfb3, 0x6ea9, 0xbfad, 0x6ea6, 0xbfa8,
+  0x6ea3, 0xbfa2, 0x6ea0, 0xbf9d, 0x6e9c, 0xbf97, 0x6e99, 0xbf92,
+  0x6e96, 0xbf8d, 0x6e93, 0xbf87, 0x6e90, 0xbf82, 0x6e8d, 0xbf7c,
+  0x6e89, 0xbf77, 0x6e86, 0xbf71, 0x6e83, 0xbf6c, 0x6e80, 0xbf67,
+  0x6e7d, 0xbf61, 0x6e7a, 0xbf5c, 0x6e76, 0xbf56, 0x6e73, 0xbf51,
+  0x6e70, 0xbf4b, 0x6e6d, 0xbf46, 0x6e6a, 0xbf41, 0x6e67, 0xbf3b,
+  0x6e63, 0xbf36, 0x6e60, 0xbf30, 0x6e5d, 0xbf2b, 0x6e5a, 0xbf26,
+  0x6e57, 0xbf20, 0x6e53, 0xbf1b, 0x6e50, 0xbf15, 0x6e4d, 0xbf10,
+  0x6e4a, 0xbf0a, 0x6e47, 0xbf05, 0x6e44, 0xbf00, 0x6e40, 0xbefa,
+  0x6e3d, 0xbef5, 0x6e3a, 0xbeef, 0x6e37, 0xbeea, 0x6e34, 0xbee5,
+  0x6e30, 0xbedf, 0x6e2d, 0xbeda, 0x6e2a, 0xbed4, 0x6e27, 0xbecf,
+  0x6e24, 0xbeca, 0x6e20, 0xbec4, 0x6e1d, 0xbebf, 0x6e1a, 0xbeb9,
+  0x6e17, 0xbeb4, 0x6e14, 0xbeae, 0x6e10, 0xbea9, 0x6e0d, 0xbea4,
+  0x6e0a, 0xbe9e, 0x6e07, 0xbe99, 0x6e04, 0xbe93, 0x6e00, 0xbe8e,
+  0x6dfd, 0xbe89, 0x6dfa, 0xbe83, 0x6df7, 0xbe7e, 0x6df3, 0xbe78,
+  0x6df0, 0xbe73, 0x6ded, 0xbe6e, 0x6dea, 0xbe68, 0x6de7, 0xbe63,
+  0x6de3, 0xbe5e, 0x6de0, 0xbe58, 0x6ddd, 0xbe53, 0x6dda, 0xbe4d,
+  0x6dd6, 0xbe48, 0x6dd3, 0xbe43, 0x6dd0, 0xbe3d, 0x6dcd, 0xbe38,
+  0x6dca, 0xbe32, 0x6dc6, 0xbe2d, 0x6dc3, 0xbe28, 0x6dc0, 0xbe22,
+  0x6dbd, 0xbe1d, 0x6db9, 0xbe17, 0x6db6, 0xbe12, 0x6db3, 0xbe0d,
+  0x6db0, 0xbe07, 0x6dac, 0xbe02, 0x6da9, 0xbdfd, 0x6da6, 0xbdf7,
+  0x6da3, 0xbdf2, 0x6d9f, 0xbdec, 0x6d9c, 0xbde7, 0x6d99, 0xbde2,
+  0x6d96, 0xbddc, 0x6d92, 0xbdd7, 0x6d8f, 0xbdd1, 0x6d8c, 0xbdcc,
+  0x6d89, 0xbdc7, 0x6d85, 0xbdc1, 0x6d82, 0xbdbc, 0x6d7f, 0xbdb7,
+  0x6d7c, 0xbdb1, 0x6d78, 0xbdac, 0x6d75, 0xbda6, 0x6d72, 0xbda1,
+  0x6d6f, 0xbd9c, 0x6d6b, 0xbd96, 0x6d68, 0xbd91, 0x6d65, 0xbd8c,
+  0x6d62, 0xbd86, 0x6d5e, 0xbd81, 0x6d5b, 0xbd7c, 0x6d58, 0xbd76,
+  0x6d55, 0xbd71, 0x6d51, 0xbd6b, 0x6d4e, 0xbd66, 0x6d4b, 0xbd61,
+  0x6d48, 0xbd5b, 0x6d44, 0xbd56, 0x6d41, 0xbd51, 0x6d3e, 0xbd4b,
+  0x6d3a, 0xbd46, 0x6d37, 0xbd40, 0x6d34, 0xbd3b, 0x6d31, 0xbd36,
+  0x6d2d, 0xbd30, 0x6d2a, 0xbd2b, 0x6d27, 0xbd26, 0x6d23, 0xbd20,
+  0x6d20, 0xbd1b, 0x6d1d, 0xbd16, 0x6d1a, 0xbd10, 0x6d16, 0xbd0b,
+  0x6d13, 0xbd06, 0x6d10, 0xbd00, 0x6d0c, 0xbcfb, 0x6d09, 0xbcf5,
+  0x6d06, 0xbcf0, 0x6d03, 0xbceb, 0x6cff, 0xbce5, 0x6cfc, 0xbce0,
+  0x6cf9, 0xbcdb, 0x6cf5, 0xbcd5, 0x6cf2, 0xbcd0, 0x6cef, 0xbccb,
+  0x6cec, 0xbcc5, 0x6ce8, 0xbcc0, 0x6ce5, 0xbcbb, 0x6ce2, 0xbcb5,
+  0x6cde, 0xbcb0, 0x6cdb, 0xbcab, 0x6cd8, 0xbca5, 0x6cd4, 0xbca0,
+  0x6cd1, 0xbc9b, 0x6cce, 0xbc95, 0x6cca, 0xbc90, 0x6cc7, 0xbc8b,
+  0x6cc4, 0xbc85, 0x6cc1, 0xbc80, 0x6cbd, 0xbc7b, 0x6cba, 0xbc75,
+  0x6cb7, 0xbc70, 0x6cb3, 0xbc6b, 0x6cb0, 0xbc65, 0x6cad, 0xbc60,
+  0x6ca9, 0xbc5b, 0x6ca6, 0xbc55, 0x6ca3, 0xbc50, 0x6c9f, 0xbc4b,
+  0x6c9c, 0xbc45, 0x6c99, 0xbc40, 0x6c95, 0xbc3b, 0x6c92, 0xbc35,
+  0x6c8f, 0xbc30, 0x6c8b, 0xbc2b, 0x6c88, 0xbc25, 0x6c85, 0xbc20,
+  0x6c81, 0xbc1b, 0x6c7e, 0xbc15, 0x6c7b, 0xbc10, 0x6c77, 0xbc0b,
+  0x6c74, 0xbc05, 0x6c71, 0xbc00, 0x6c6d, 0xbbfb, 0x6c6a, 0xbbf5,
+  0x6c67, 0xbbf0, 0x6c63, 0xbbeb, 0x6c60, 0xbbe5, 0x6c5d, 0xbbe0,
+  0x6c59, 0xbbdb, 0x6c56, 0xbbd5, 0x6c53, 0xbbd0, 0x6c4f, 0xbbcb,
+  0x6c4c, 0xbbc5, 0x6c49, 0xbbc0, 0x6c45, 0xbbbb, 0x6c42, 0xbbb5,
+  0x6c3f, 0xbbb0, 0x6c3b, 0xbbab, 0x6c38, 0xbba6, 0x6c34, 0xbba0,
+  0x6c31, 0xbb9b, 0x6c2e, 0xbb96, 0x6c2a, 0xbb90, 0x6c27, 0xbb8b,
+  0x6c24, 0xbb86, 0x6c20, 0xbb80, 0x6c1d, 0xbb7b, 0x6c1a, 0xbb76,
+  0x6c16, 0xbb70, 0x6c13, 0xbb6b, 0x6c0f, 0xbb66, 0x6c0c, 0xbb61,
+  0x6c09, 0xbb5b, 0x6c05, 0xbb56, 0x6c02, 0xbb51, 0x6bff, 0xbb4b,
+  0x6bfb, 0xbb46, 0x6bf8, 0xbb41, 0x6bf5, 0xbb3b, 0x6bf1, 0xbb36,
+  0x6bee, 0xbb31, 0x6bea, 0xbb2c, 0x6be7, 0xbb26, 0x6be4, 0xbb21,
+  0x6be0, 0xbb1c, 0x6bdd, 0xbb16, 0x6bd9, 0xbb11, 0x6bd6, 0xbb0c,
+  0x6bd3, 0xbb06, 0x6bcf, 0xbb01, 0x6bcc, 0xbafc, 0x6bc9, 0xbaf7,
+  0x6bc5, 0xbaf1, 0x6bc2, 0xbaec, 0x6bbe, 0xbae7, 0x6bbb, 0xbae1,
+  0x6bb8, 0xbadc, 0x6bb4, 0xbad7, 0x6bb1, 0xbad2, 0x6bad, 0xbacc,
+  0x6baa, 0xbac7, 0x6ba7, 0xbac2, 0x6ba3, 0xbabc, 0x6ba0, 0xbab7,
+  0x6b9c, 0xbab2, 0x6b99, 0xbaad, 0x6b96, 0xbaa7, 0x6b92, 0xbaa2,
+  0x6b8f, 0xba9d, 0x6b8b, 0xba97, 0x6b88, 0xba92, 0x6b85, 0xba8d,
+  0x6b81, 0xba88, 0x6b7e, 0xba82, 0x6b7a, 0xba7d, 0x6b77, 0xba78,
+  0x6b73, 0xba73, 0x6b70, 0xba6d, 0x6b6d, 0xba68, 0x6b69, 0xba63,
+  0x6b66, 0xba5d, 0x6b62, 0xba58, 0x6b5f, 0xba53, 0x6b5c, 0xba4e,
+  0x6b58, 0xba48, 0x6b55, 0xba43, 0x6b51, 0xba3e, 0x6b4e, 0xba39,
+  0x6b4a, 0xba33, 0x6b47, 0xba2e, 0x6b44, 0xba29, 0x6b40, 0xba23,
+  0x6b3d, 0xba1e, 0x6b39, 0xba19, 0x6b36, 0xba14, 0x6b32, 0xba0e,
+  0x6b2f, 0xba09, 0x6b2c, 0xba04, 0x6b28, 0xb9ff, 0x6b25, 0xb9f9,
+  0x6b21, 0xb9f4, 0x6b1e, 0xb9ef, 0x6b1a, 0xb9ea, 0x6b17, 0xb9e4,
+  0x6b13, 0xb9df, 0x6b10, 0xb9da, 0x6b0d, 0xb9d5, 0x6b09, 0xb9cf,
+  0x6b06, 0xb9ca, 0x6b02, 0xb9c5, 0x6aff, 0xb9c0, 0x6afb, 0xb9ba,
+  0x6af8, 0xb9b5, 0x6af4, 0xb9b0, 0x6af1, 0xb9ab, 0x6aee, 0xb9a5,
+  0x6aea, 0xb9a0, 0x6ae7, 0xb99b, 0x6ae3, 0xb996, 0x6ae0, 0xb990,
+  0x6adc, 0xb98b, 0x6ad9, 0xb986, 0x6ad5, 0xb981, 0x6ad2, 0xb97b,
+  0x6ace, 0xb976, 0x6acb, 0xb971, 0x6ac8, 0xb96c, 0x6ac4, 0xb966,
+  0x6ac1, 0xb961, 0x6abd, 0xb95c, 0x6aba, 0xb957, 0x6ab6, 0xb951,
+  0x6ab3, 0xb94c, 0x6aaf, 0xb947, 0x6aac, 0xb942, 0x6aa8, 0xb93c,
+  0x6aa5, 0xb937, 0x6aa1, 0xb932, 0x6a9e, 0xb92d, 0x6a9a, 0xb928,
+  0x6a97, 0xb922, 0x6a93, 0xb91d, 0x6a90, 0xb918, 0x6a8c, 0xb913,
+  0x6a89, 0xb90d, 0x6a86, 0xb908, 0x6a82, 0xb903, 0x6a7f, 0xb8fe,
+  0x6a7b, 0xb8f8, 0x6a78, 0xb8f3, 0x6a74, 0xb8ee, 0x6a71, 0xb8e9,
+  0x6a6d, 0xb8e4, 0x6a6a, 0xb8de, 0x6a66, 0xb8d9, 0x6a63, 0xb8d4,
+  0x6a5f, 0xb8cf, 0x6a5c, 0xb8c9, 0x6a58, 0xb8c4, 0x6a55, 0xb8bf,
+  0x6a51, 0xb8ba, 0x6a4e, 0xb8b5, 0x6a4a, 0xb8af, 0x6a47, 0xb8aa,
+  0x6a43, 0xb8a5, 0x6a40, 0xb8a0, 0x6a3c, 0xb89b, 0x6a39, 0xb895,
+  0x6a35, 0xb890, 0x6a32, 0xb88b, 0x6a2e, 0xb886, 0x6a2b, 0xb880,
+  0x6a27, 0xb87b, 0x6a24, 0xb876, 0x6a20, 0xb871, 0x6a1d, 0xb86c,
+  0x6a19, 0xb866, 0x6a16, 0xb861, 0x6a12, 0xb85c, 0x6a0e, 0xb857,
+  0x6a0b, 0xb852, 0x6a07, 0xb84c, 0x6a04, 0xb847, 0x6a00, 0xb842,
+  0x69fd, 0xb83d, 0x69f9, 0xb838, 0x69f6, 0xb832, 0x69f2, 0xb82d,
+  0x69ef, 0xb828, 0x69eb, 0xb823, 0x69e8, 0xb81e, 0x69e4, 0xb818,
+  0x69e1, 0xb813, 0x69dd, 0xb80e, 0x69da, 0xb809, 0x69d6, 0xb804,
+  0x69d3, 0xb7fe, 0x69cf, 0xb7f9, 0x69cb, 0xb7f4, 0x69c8, 0xb7ef,
+  0x69c4, 0xb7ea, 0x69c1, 0xb7e4, 0x69bd, 0xb7df, 0x69ba, 0xb7da,
+  0x69b6, 0xb7d5, 0x69b3, 0xb7d0, 0x69af, 0xb7ca, 0x69ac, 0xb7c5,
+  0x69a8, 0xb7c0, 0x69a5, 0xb7bb, 0x69a1, 0xb7b6, 0x699d, 0xb7b1,
+  0x699a, 0xb7ab, 0x6996, 0xb7a6, 0x6993, 0xb7a1, 0x698f, 0xb79c,
+  0x698c, 0xb797, 0x6988, 0xb791, 0x6985, 0xb78c, 0x6981, 0xb787,
+  0x697d, 0xb782, 0x697a, 0xb77d, 0x6976, 0xb778, 0x6973, 0xb772,
+  0x696f, 0xb76d, 0x696c, 0xb768, 0x6968, 0xb763, 0x6964, 0xb75e,
+  0x6961, 0xb758, 0x695d, 0xb753, 0x695a, 0xb74e, 0x6956, 0xb749,
+  0x6953, 0xb744, 0x694f, 0xb73f, 0x694b, 0xb739, 0x6948, 0xb734,
+  0x6944, 0xb72f, 0x6941, 0xb72a, 0x693d, 0xb725, 0x693a, 0xb720,
+  0x6936, 0xb71a, 0x6932, 0xb715, 0x692f, 0xb710, 0x692b, 0xb70b,
+  0x6928, 0xb706, 0x6924, 0xb701, 0x6921, 0xb6fb, 0x691d, 0xb6f6,
+  0x6919, 0xb6f1, 0x6916, 0xb6ec, 0x6912, 0xb6e7, 0x690f, 0xb6e2,
+  0x690b, 0xb6dd, 0x6907, 0xb6d7, 0x6904, 0xb6d2, 0x6900, 0xb6cd,
+  0x68fd, 0xb6c8, 0x68f9, 0xb6c3, 0x68f5, 0xb6be, 0x68f2, 0xb6b8,
+  0x68ee, 0xb6b3, 0x68eb, 0xb6ae, 0x68e7, 0xb6a9, 0x68e3, 0xb6a4,
+  0x68e0, 0xb69f, 0x68dc, 0xb69a, 0x68d9, 0xb694, 0x68d5, 0xb68f,
+  0x68d1, 0xb68a, 0x68ce, 0xb685, 0x68ca, 0xb680, 0x68c7, 0xb67b,
+  0x68c3, 0xb676, 0x68bf, 0xb670, 0x68bc, 0xb66b, 0x68b8, 0xb666,
+  0x68b5, 0xb661, 0x68b1, 0xb65c, 0x68ad, 0xb657, 0x68aa, 0xb652,
+  0x68a6, 0xb64c, 0x68a3, 0xb647, 0x689f, 0xb642, 0x689b, 0xb63d,
+  0x6898, 0xb638, 0x6894, 0xb633, 0x6890, 0xb62e, 0x688d, 0xb628,
+  0x6889, 0xb623, 0x6886, 0xb61e, 0x6882, 0xb619, 0x687e, 0xb614,
+  0x687b, 0xb60f, 0x6877, 0xb60a, 0x6873, 0xb605, 0x6870, 0xb5ff,
+  0x686c, 0xb5fa, 0x6868, 0xb5f5, 0x6865, 0xb5f0, 0x6861, 0xb5eb,
+  0x685e, 0xb5e6, 0x685a, 0xb5e1, 0x6856, 0xb5dc, 0x6853, 0xb5d6,
+  0x684f, 0xb5d1, 0x684b, 0xb5cc, 0x6848, 0xb5c7, 0x6844, 0xb5c2,
+  0x6840, 0xb5bd, 0x683d, 0xb5b8, 0x6839, 0xb5b3, 0x6835, 0xb5ae,
+  0x6832, 0xb5a8, 0x682e, 0xb5a3, 0x682b, 0xb59e, 0x6827, 0xb599,
+  0x6823, 0xb594, 0x6820, 0xb58f, 0x681c, 0xb58a, 0x6818, 0xb585,
+  0x6815, 0xb57f, 0x6811, 0xb57a, 0x680d, 0xb575, 0x680a, 0xb570,
+  0x6806, 0xb56b, 0x6802, 0xb566, 0x67ff, 0xb561, 0x67fb, 0xb55c,
+  0x67f7, 0xb557, 0x67f4, 0xb552, 0x67f0, 0xb54c, 0x67ec, 0xb547,
+  0x67e9, 0xb542, 0x67e5, 0xb53d, 0x67e1, 0xb538, 0x67de, 0xb533,
+  0x67da, 0xb52e, 0x67d6, 0xb529, 0x67d3, 0xb524, 0x67cf, 0xb51f,
+  0x67cb, 0xb519, 0x67c8, 0xb514, 0x67c4, 0xb50f, 0x67c0, 0xb50a,
+  0x67bd, 0xb505, 0x67b9, 0xb500, 0x67b5, 0xb4fb, 0x67b2, 0xb4f6,
+  0x67ae, 0xb4f1, 0x67aa, 0xb4ec, 0x67a6, 0xb4e7, 0x67a3, 0xb4e1,
+  0x679f, 0xb4dc, 0x679b, 0xb4d7, 0x6798, 0xb4d2, 0x6794, 0xb4cd,
+  0x6790, 0xb4c8, 0x678d, 0xb4c3, 0x6789, 0xb4be, 0x6785, 0xb4b9,
+  0x6782, 0xb4b4, 0x677e, 0xb4af, 0x677a, 0xb4aa, 0x6776, 0xb4a4,
+  0x6773, 0xb49f, 0x676f, 0xb49a, 0x676b, 0xb495, 0x6768, 0xb490,
+  0x6764, 0xb48b, 0x6760, 0xb486, 0x675d, 0xb481, 0x6759, 0xb47c,
+  0x6755, 0xb477, 0x6751, 0xb472, 0x674e, 0xb46d, 0x674a, 0xb468,
+  0x6746, 0xb462, 0x6743, 0xb45d, 0x673f, 0xb458, 0x673b, 0xb453,
+  0x6737, 0xb44e, 0x6734, 0xb449, 0x6730, 0xb444, 0x672c, 0xb43f,
+  0x6729, 0xb43a, 0x6725, 0xb435, 0x6721, 0xb430, 0x671d, 0xb42b,
+  0x671a, 0xb426, 0x6716, 0xb421, 0x6712, 0xb41c, 0x670e, 0xb417,
+  0x670b, 0xb411, 0x6707, 0xb40c, 0x6703, 0xb407, 0x6700, 0xb402,
+  0x66fc, 0xb3fd, 0x66f8, 0xb3f8, 0x66f4, 0xb3f3, 0x66f1, 0xb3ee,
+  0x66ed, 0xb3e9, 0x66e9, 0xb3e4, 0x66e5, 0xb3df, 0x66e2, 0xb3da,
+  0x66de, 0xb3d5, 0x66da, 0xb3d0, 0x66d6, 0xb3cb, 0x66d3, 0xb3c6,
+  0x66cf, 0xb3c1, 0x66cb, 0xb3bc, 0x66c8, 0xb3b7, 0x66c4, 0xb3b1,
+  0x66c0, 0xb3ac, 0x66bc, 0xb3a7, 0x66b9, 0xb3a2, 0x66b5, 0xb39d,
+  0x66b1, 0xb398, 0x66ad, 0xb393, 0x66aa, 0xb38e, 0x66a6, 0xb389,
+  0x66a2, 0xb384, 0x669e, 0xb37f, 0x669b, 0xb37a, 0x6697, 0xb375,
+  0x6693, 0xb370, 0x668f, 0xb36b, 0x668b, 0xb366, 0x6688, 0xb361,
+  0x6684, 0xb35c, 0x6680, 0xb357, 0x667c, 0xb352, 0x6679, 0xb34d,
+  0x6675, 0xb348, 0x6671, 0xb343, 0x666d, 0xb33e, 0x666a, 0xb339,
+  0x6666, 0xb334, 0x6662, 0xb32f, 0x665e, 0xb32a, 0x665b, 0xb325,
+  0x6657, 0xb31f, 0x6653, 0xb31a, 0x664f, 0xb315, 0x664b, 0xb310,
+  0x6648, 0xb30b, 0x6644, 0xb306, 0x6640, 0xb301, 0x663c, 0xb2fc,
+  0x6639, 0xb2f7, 0x6635, 0xb2f2, 0x6631, 0xb2ed, 0x662d, 0xb2e8,
+  0x6629, 0xb2e3, 0x6626, 0xb2de, 0x6622, 0xb2d9, 0x661e, 0xb2d4,
+  0x661a, 0xb2cf, 0x6616, 0xb2ca, 0x6613, 0xb2c5, 0x660f, 0xb2c0,
+  0x660b, 0xb2bb, 0x6607, 0xb2b6, 0x6603, 0xb2b1, 0x6600, 0xb2ac,
+  0x65fc, 0xb2a7, 0x65f8, 0xb2a2, 0x65f4, 0xb29d, 0x65f0, 0xb298,
+  0x65ed, 0xb293, 0x65e9, 0xb28e, 0x65e5, 0xb289, 0x65e1, 0xb284,
+  0x65dd, 0xb27f, 0x65da, 0xb27a, 0x65d6, 0xb275, 0x65d2, 0xb270,
+  0x65ce, 0xb26b, 0x65ca, 0xb266, 0x65c7, 0xb261, 0x65c3, 0xb25c,
+  0x65bf, 0xb257, 0x65bb, 0xb252, 0x65b7, 0xb24d, 0x65b4, 0xb248,
+  0x65b0, 0xb243, 0x65ac, 0xb23e, 0x65a8, 0xb239, 0x65a4, 0xb234,
+  0x65a0, 0xb22f, 0x659d, 0xb22a, 0x6599, 0xb225, 0x6595, 0xb220,
+  0x6591, 0xb21b, 0x658d, 0xb216, 0x658a, 0xb211, 0x6586, 0xb20c,
+  0x6582, 0xb207, 0x657e, 0xb202, 0x657a, 0xb1fd, 0x6576, 0xb1f8,
+  0x6573, 0xb1f3, 0x656f, 0xb1ee, 0x656b, 0xb1e9, 0x6567, 0xb1e4,
+  0x6563, 0xb1df, 0x655f, 0xb1da, 0x655c, 0xb1d6, 0x6558, 0xb1d1,
+  0x6554, 0xb1cc, 0x6550, 0xb1c7, 0x654c, 0xb1c2, 0x6548, 0xb1bd,
+  0x6545, 0xb1b8, 0x6541, 0xb1b3, 0x653d, 0xb1ae, 0x6539, 0xb1a9,
+  0x6535, 0xb1a4, 0x6531, 0xb19f, 0x652d, 0xb19a, 0x652a, 0xb195,
+  0x6526, 0xb190, 0x6522, 0xb18b, 0x651e, 0xb186, 0x651a, 0xb181,
+  0x6516, 0xb17c, 0x6513, 0xb177, 0x650f, 0xb172, 0x650b, 0xb16d,
+  0x6507, 0xb168, 0x6503, 0xb163, 0x64ff, 0xb15e, 0x64fb, 0xb159,
+  0x64f7, 0xb154, 0x64f4, 0xb14f, 0x64f0, 0xb14a, 0x64ec, 0xb146,
+  0x64e8, 0xb141, 0x64e4, 0xb13c, 0x64e0, 0xb137, 0x64dc, 0xb132,
+  0x64d9, 0xb12d, 0x64d5, 0xb128, 0x64d1, 0xb123, 0x64cd, 0xb11e,
+  0x64c9, 0xb119, 0x64c5, 0xb114, 0x64c1, 0xb10f, 0x64bd, 0xb10a,
+  0x64ba, 0xb105, 0x64b6, 0xb100, 0x64b2, 0xb0fb, 0x64ae, 0xb0f6,
+  0x64aa, 0xb0f1, 0x64a6, 0xb0ec, 0x64a2, 0xb0e8, 0x649e, 0xb0e3,
+  0x649b, 0xb0de, 0x6497, 0xb0d9, 0x6493, 0xb0d4, 0x648f, 0xb0cf,
+  0x648b, 0xb0ca, 0x6487, 0xb0c5, 0x6483, 0xb0c0, 0x647f, 0xb0bb,
+  0x647b, 0xb0b6, 0x6478, 0xb0b1, 0x6474, 0xb0ac, 0x6470, 0xb0a7,
+  0x646c, 0xb0a2, 0x6468, 0xb09e, 0x6464, 0xb099, 0x6460, 0xb094,
+  0x645c, 0xb08f, 0x6458, 0xb08a, 0x6454, 0xb085, 0x6451, 0xb080,
+  0x644d, 0xb07b, 0x6449, 0xb076, 0x6445, 0xb071, 0x6441, 0xb06c,
+  0x643d, 0xb067, 0x6439, 0xb062, 0x6435, 0xb05e, 0x6431, 0xb059,
+  0x642d, 0xb054, 0x6429, 0xb04f, 0x6426, 0xb04a, 0x6422, 0xb045,
+  0x641e, 0xb040, 0x641a, 0xb03b, 0x6416, 0xb036, 0x6412, 0xb031,
+  0x640e, 0xb02c, 0x640a, 0xb027, 0x6406, 0xb023, 0x6402, 0xb01e,
+  0x63fe, 0xb019, 0x63fa, 0xb014, 0x63f7, 0xb00f, 0x63f3, 0xb00a,
+  0x63ef, 0xb005, 0x63eb, 0xb000, 0x63e7, 0xaffb, 0x63e3, 0xaff6,
+  0x63df, 0xaff1, 0x63db, 0xafed, 0x63d7, 0xafe8, 0x63d3, 0xafe3,
+  0x63cf, 0xafde, 0x63cb, 0xafd9, 0x63c7, 0xafd4, 0x63c3, 0xafcf,
+  0x63c0, 0xafca, 0x63bc, 0xafc5, 0x63b8, 0xafc1, 0x63b4, 0xafbc,
+  0x63b0, 0xafb7, 0x63ac, 0xafb2, 0x63a8, 0xafad, 0x63a4, 0xafa8,
+  0x63a0, 0xafa3, 0x639c, 0xaf9e, 0x6398, 0xaf99, 0x6394, 0xaf94,
+  0x6390, 0xaf90, 0x638c, 0xaf8b, 0x6388, 0xaf86, 0x6384, 0xaf81,
+  0x6380, 0xaf7c, 0x637c, 0xaf77, 0x6378, 0xaf72, 0x6375, 0xaf6d,
+  0x6371, 0xaf69, 0x636d, 0xaf64, 0x6369, 0xaf5f, 0x6365, 0xaf5a,
+  0x6361, 0xaf55, 0x635d, 0xaf50, 0x6359, 0xaf4b, 0x6355, 0xaf46,
+  0x6351, 0xaf41, 0x634d, 0xaf3d, 0x6349, 0xaf38, 0x6345, 0xaf33,
+  0x6341, 0xaf2e, 0x633d, 0xaf29, 0x6339, 0xaf24, 0x6335, 0xaf1f,
+  0x6331, 0xaf1b, 0x632d, 0xaf16, 0x6329, 0xaf11, 0x6325, 0xaf0c,
+  0x6321, 0xaf07, 0x631d, 0xaf02, 0x6319, 0xaefd, 0x6315, 0xaef8,
+  0x6311, 0xaef4, 0x630d, 0xaeef, 0x6309, 0xaeea, 0x6305, 0xaee5,
+  0x6301, 0xaee0, 0x62fd, 0xaedb, 0x62f9, 0xaed6, 0x62f5, 0xaed2,
+  0x62f2, 0xaecd, 0x62ee, 0xaec8, 0x62ea, 0xaec3, 0x62e6, 0xaebe,
+  0x62e2, 0xaeb9, 0x62de, 0xaeb4, 0x62da, 0xaeb0, 0x62d6, 0xaeab,
+  0x62d2, 0xaea6, 0x62ce, 0xaea1, 0x62ca, 0xae9c, 0x62c6, 0xae97,
+  0x62c2, 0xae92, 0x62be, 0xae8e, 0x62ba, 0xae89, 0x62b6, 0xae84,
+  0x62b2, 0xae7f, 0x62ae, 0xae7a, 0x62aa, 0xae75, 0x62a6, 0xae71,
+  0x62a2, 0xae6c, 0x629e, 0xae67, 0x629a, 0xae62, 0x6296, 0xae5d,
+  0x6292, 0xae58, 0x628e, 0xae54, 0x628a, 0xae4f, 0x6286, 0xae4a,
+  0x6282, 0xae45, 0x627e, 0xae40, 0x627a, 0xae3b, 0x6275, 0xae37,
+  0x6271, 0xae32, 0x626d, 0xae2d, 0x6269, 0xae28, 0x6265, 0xae23,
+  0x6261, 0xae1e, 0x625d, 0xae1a, 0x6259, 0xae15, 0x6255, 0xae10,
+  0x6251, 0xae0b, 0x624d, 0xae06, 0x6249, 0xae01, 0x6245, 0xadfd,
+  0x6241, 0xadf8, 0x623d, 0xadf3, 0x6239, 0xadee, 0x6235, 0xade9,
+  0x6231, 0xade4, 0x622d, 0xade0, 0x6229, 0xaddb, 0x6225, 0xadd6,
+  0x6221, 0xadd1, 0x621d, 0xadcc, 0x6219, 0xadc8, 0x6215, 0xadc3,
+  0x6211, 0xadbe, 0x620d, 0xadb9, 0x6209, 0xadb4, 0x6205, 0xadaf,
+  0x6201, 0xadab, 0x61fd, 0xada6, 0x61f9, 0xada1, 0x61f5, 0xad9c,
+  0x61f1, 0xad97, 0x61ec, 0xad93, 0x61e8, 0xad8e, 0x61e4, 0xad89,
+  0x61e0, 0xad84, 0x61dc, 0xad7f, 0x61d8, 0xad7b, 0x61d4, 0xad76,
+  0x61d0, 0xad71, 0x61cc, 0xad6c, 0x61c8, 0xad67, 0x61c4, 0xad63,
+  0x61c0, 0xad5e, 0x61bc, 0xad59, 0x61b8, 0xad54, 0x61b4, 0xad4f,
+  0x61b0, 0xad4b, 0x61ac, 0xad46, 0x61a8, 0xad41, 0x61a3, 0xad3c,
+  0x619f, 0xad37, 0x619b, 0xad33, 0x6197, 0xad2e, 0x6193, 0xad29,
+  0x618f, 0xad24, 0x618b, 0xad1f, 0x6187, 0xad1b, 0x6183, 0xad16,
+  0x617f, 0xad11, 0x617b, 0xad0c, 0x6177, 0xad08, 0x6173, 0xad03,
+  0x616f, 0xacfe, 0x616b, 0xacf9, 0x6166, 0xacf4, 0x6162, 0xacf0,
+  0x615e, 0xaceb, 0x615a, 0xace6, 0x6156, 0xace1, 0x6152, 0xacdd,
+  0x614e, 0xacd8, 0x614a, 0xacd3, 0x6146, 0xacce, 0x6142, 0xacc9,
+  0x613e, 0xacc5, 0x613a, 0xacc0, 0x6135, 0xacbb, 0x6131, 0xacb6,
+  0x612d, 0xacb2, 0x6129, 0xacad, 0x6125, 0xaca8, 0x6121, 0xaca3,
+  0x611d, 0xac9e, 0x6119, 0xac9a, 0x6115, 0xac95, 0x6111, 0xac90,
+  0x610d, 0xac8b, 0x6108, 0xac87, 0x6104, 0xac82, 0x6100, 0xac7d,
+  0x60fc, 0xac78, 0x60f8, 0xac74, 0x60f4, 0xac6f, 0x60f0, 0xac6a,
+  0x60ec, 0xac65, 0x60e8, 0xac61, 0x60e4, 0xac5c, 0x60df, 0xac57,
+  0x60db, 0xac52, 0x60d7, 0xac4e, 0x60d3, 0xac49, 0x60cf, 0xac44,
+  0x60cb, 0xac3f, 0x60c7, 0xac3b, 0x60c3, 0xac36, 0x60bf, 0xac31,
+  0x60ba, 0xac2c, 0x60b6, 0xac28, 0x60b2, 0xac23, 0x60ae, 0xac1e,
+  0x60aa, 0xac19, 0x60a6, 0xac15, 0x60a2, 0xac10, 0x609e, 0xac0b,
+  0x6099, 0xac06, 0x6095, 0xac02, 0x6091, 0xabfd, 0x608d, 0xabf8,
+  0x6089, 0xabf3, 0x6085, 0xabef, 0x6081, 0xabea, 0x607d, 0xabe5,
+  0x6078, 0xabe0, 0x6074, 0xabdc, 0x6070, 0xabd7, 0x606c, 0xabd2,
+  0x6068, 0xabcd, 0x6064, 0xabc9, 0x6060, 0xabc4, 0x605c, 0xabbf,
+  0x6057, 0xabbb, 0x6053, 0xabb6, 0x604f, 0xabb1, 0x604b, 0xabac,
+  0x6047, 0xaba8, 0x6043, 0xaba3, 0x603f, 0xab9e, 0x603a, 0xab99,
+  0x6036, 0xab95, 0x6032, 0xab90, 0x602e, 0xab8b, 0x602a, 0xab87,
+  0x6026, 0xab82, 0x6022, 0xab7d, 0x601d, 0xab78, 0x6019, 0xab74,
+  0x6015, 0xab6f, 0x6011, 0xab6a, 0x600d, 0xab66, 0x6009, 0xab61,
+  0x6004, 0xab5c, 0x6000, 0xab57, 0x5ffc, 0xab53, 0x5ff8, 0xab4e,
+  0x5ff4, 0xab49, 0x5ff0, 0xab45, 0x5fec, 0xab40, 0x5fe7, 0xab3b,
+  0x5fe3, 0xab36, 0x5fdf, 0xab32, 0x5fdb, 0xab2d, 0x5fd7, 0xab28,
+  0x5fd3, 0xab24, 0x5fce, 0xab1f, 0x5fca, 0xab1a, 0x5fc6, 0xab16,
+  0x5fc2, 0xab11, 0x5fbe, 0xab0c, 0x5fba, 0xab07, 0x5fb5, 0xab03,
+  0x5fb1, 0xaafe, 0x5fad, 0xaaf9, 0x5fa9, 0xaaf5, 0x5fa5, 0xaaf0,
+  0x5fa0, 0xaaeb, 0x5f9c, 0xaae7, 0x5f98, 0xaae2, 0x5f94, 0xaadd,
+  0x5f90, 0xaad8, 0x5f8c, 0xaad4, 0x5f87, 0xaacf, 0x5f83, 0xaaca,
+  0x5f7f, 0xaac6, 0x5f7b, 0xaac1, 0x5f77, 0xaabc, 0x5f72, 0xaab8,
+  0x5f6e, 0xaab3, 0x5f6a, 0xaaae, 0x5f66, 0xaaaa, 0x5f62, 0xaaa5,
+  0x5f5e, 0xaaa0, 0x5f59, 0xaa9c, 0x5f55, 0xaa97, 0x5f51, 0xaa92,
+  0x5f4d, 0xaa8e, 0x5f49, 0xaa89, 0x5f44, 0xaa84, 0x5f40, 0xaa7f,
+  0x5f3c, 0xaa7b, 0x5f38, 0xaa76, 0x5f34, 0xaa71, 0x5f2f, 0xaa6d,
+  0x5f2b, 0xaa68, 0x5f27, 0xaa63, 0x5f23, 0xaa5f, 0x5f1f, 0xaa5a,
+  0x5f1a, 0xaa55, 0x5f16, 0xaa51, 0x5f12, 0xaa4c, 0x5f0e, 0xaa47,
+  0x5f0a, 0xaa43, 0x5f05, 0xaa3e, 0x5f01, 0xaa39, 0x5efd, 0xaa35,
+  0x5ef9, 0xaa30, 0x5ef5, 0xaa2b, 0x5ef0, 0xaa27, 0x5eec, 0xaa22,
+  0x5ee8, 0xaa1d, 0x5ee4, 0xaa19, 0x5edf, 0xaa14, 0x5edb, 0xaa10,
+  0x5ed7, 0xaa0b, 0x5ed3, 0xaa06, 0x5ecf, 0xaa02, 0x5eca, 0xa9fd,
+  0x5ec6, 0xa9f8, 0x5ec2, 0xa9f4, 0x5ebe, 0xa9ef, 0x5eb9, 0xa9ea,
+  0x5eb5, 0xa9e6, 0x5eb1, 0xa9e1, 0x5ead, 0xa9dc, 0x5ea9, 0xa9d8,
+  0x5ea4, 0xa9d3, 0x5ea0, 0xa9ce, 0x5e9c, 0xa9ca, 0x5e98, 0xa9c5,
+  0x5e93, 0xa9c0, 0x5e8f, 0xa9bc, 0x5e8b, 0xa9b7, 0x5e87, 0xa9b3,
+  0x5e82, 0xa9ae, 0x5e7e, 0xa9a9, 0x5e7a, 0xa9a5, 0x5e76, 0xa9a0,
+  0x5e71, 0xa99b, 0x5e6d, 0xa997, 0x5e69, 0xa992, 0x5e65, 0xa98d,
+  0x5e60, 0xa989, 0x5e5c, 0xa984, 0x5e58, 0xa980, 0x5e54, 0xa97b,
+  0x5e50, 0xa976, 0x5e4b, 0xa972, 0x5e47, 0xa96d, 0x5e43, 0xa968,
+  0x5e3f, 0xa964, 0x5e3a, 0xa95f, 0x5e36, 0xa95b, 0x5e32, 0xa956,
+  0x5e2d, 0xa951, 0x5e29, 0xa94d, 0x5e25, 0xa948, 0x5e21, 0xa943,
+  0x5e1c, 0xa93f, 0x5e18, 0xa93a, 0x5e14, 0xa936, 0x5e10, 0xa931,
+  0x5e0b, 0xa92c, 0x5e07, 0xa928, 0x5e03, 0xa923, 0x5dff, 0xa91e,
+  0x5dfa, 0xa91a, 0x5df6, 0xa915, 0x5df2, 0xa911, 0x5dee, 0xa90c,
+  0x5de9, 0xa907, 0x5de5, 0xa903, 0x5de1, 0xa8fe, 0x5ddc, 0xa8fa,
+  0x5dd8, 0xa8f5, 0x5dd4, 0xa8f0, 0x5dd0, 0xa8ec, 0x5dcb, 0xa8e7,
+  0x5dc7, 0xa8e3, 0x5dc3, 0xa8de, 0x5dbf, 0xa8d9, 0x5dba, 0xa8d5,
+  0x5db6, 0xa8d0, 0x5db2, 0xa8cc, 0x5dad, 0xa8c7, 0x5da9, 0xa8c2,
+  0x5da5, 0xa8be, 0x5da1, 0xa8b9, 0x5d9c, 0xa8b5, 0x5d98, 0xa8b0,
+  0x5d94, 0xa8ab, 0x5d8f, 0xa8a7, 0x5d8b, 0xa8a2, 0x5d87, 0xa89e,
+  0x5d83, 0xa899, 0x5d7e, 0xa894, 0x5d7a, 0xa890, 0x5d76, 0xa88b,
+  0x5d71, 0xa887, 0x5d6d, 0xa882, 0x5d69, 0xa87d, 0x5d65, 0xa879,
+  0x5d60, 0xa874, 0x5d5c, 0xa870, 0x5d58, 0xa86b, 0x5d53, 0xa867,
+  0x5d4f, 0xa862, 0x5d4b, 0xa85d, 0x5d46, 0xa859, 0x5d42, 0xa854,
+  0x5d3e, 0xa850, 0x5d3a, 0xa84b, 0x5d35, 0xa847, 0x5d31, 0xa842,
+  0x5d2d, 0xa83d, 0x5d28, 0xa839, 0x5d24, 0xa834, 0x5d20, 0xa830,
+  0x5d1b, 0xa82b, 0x5d17, 0xa827, 0x5d13, 0xa822, 0x5d0e, 0xa81d,
+  0x5d0a, 0xa819, 0x5d06, 0xa814, 0x5d01, 0xa810, 0x5cfd, 0xa80b,
+  0x5cf9, 0xa807, 0x5cf5, 0xa802, 0x5cf0, 0xa7fd, 0x5cec, 0xa7f9,
+  0x5ce8, 0xa7f4, 0x5ce3, 0xa7f0, 0x5cdf, 0xa7eb, 0x5cdb, 0xa7e7,
+  0x5cd6, 0xa7e2, 0x5cd2, 0xa7de, 0x5cce, 0xa7d9, 0x5cc9, 0xa7d4,
+  0x5cc5, 0xa7d0, 0x5cc1, 0xa7cb, 0x5cbc, 0xa7c7, 0x5cb8, 0xa7c2,
+  0x5cb4, 0xa7be, 0x5caf, 0xa7b9, 0x5cab, 0xa7b5, 0x5ca7, 0xa7b0,
+  0x5ca2, 0xa7ab, 0x5c9e, 0xa7a7, 0x5c9a, 0xa7a2, 0x5c95, 0xa79e,
+  0x5c91, 0xa799, 0x5c8d, 0xa795, 0x5c88, 0xa790, 0x5c84, 0xa78c,
+  0x5c80, 0xa787, 0x5c7b, 0xa783, 0x5c77, 0xa77e, 0x5c73, 0xa779,
+  0x5c6e, 0xa775, 0x5c6a, 0xa770, 0x5c66, 0xa76c, 0x5c61, 0xa767,
+  0x5c5d, 0xa763, 0x5c58, 0xa75e, 0x5c54, 0xa75a, 0x5c50, 0xa755,
+  0x5c4b, 0xa751, 0x5c47, 0xa74c, 0x5c43, 0xa748, 0x5c3e, 0xa743,
+  0x5c3a, 0xa73f, 0x5c36, 0xa73a, 0x5c31, 0xa735, 0x5c2d, 0xa731,
+  0x5c29, 0xa72c, 0x5c24, 0xa728, 0x5c20, 0xa723, 0x5c1b, 0xa71f,
+  0x5c17, 0xa71a, 0x5c13, 0xa716, 0x5c0e, 0xa711, 0x5c0a, 0xa70d,
+  0x5c06, 0xa708, 0x5c01, 0xa704, 0x5bfd, 0xa6ff, 0x5bf9, 0xa6fb,
+  0x5bf4, 0xa6f6, 0x5bf0, 0xa6f2, 0x5beb, 0xa6ed, 0x5be7, 0xa6e9,
+  0x5be3, 0xa6e4, 0x5bde, 0xa6e0, 0x5bda, 0xa6db, 0x5bd6, 0xa6d7,
+  0x5bd1, 0xa6d2, 0x5bcd, 0xa6ce, 0x5bc8, 0xa6c9, 0x5bc4, 0xa6c5,
+  0x5bc0, 0xa6c0, 0x5bbb, 0xa6bc, 0x5bb7, 0xa6b7, 0x5bb2, 0xa6b3,
+  0x5bae, 0xa6ae, 0x5baa, 0xa6aa, 0x5ba5, 0xa6a5, 0x5ba1, 0xa6a1,
+  0x5b9d, 0xa69c, 0x5b98, 0xa698, 0x5b94, 0xa693, 0x5b8f, 0xa68f,
+  0x5b8b, 0xa68a, 0x5b87, 0xa686, 0x5b82, 0xa681, 0x5b7e, 0xa67d,
+  0x5b79, 0xa678, 0x5b75, 0xa674, 0x5b71, 0xa66f, 0x5b6c, 0xa66b,
+  0x5b68, 0xa666, 0x5b63, 0xa662, 0x5b5f, 0xa65d, 0x5b5b, 0xa659,
+  0x5b56, 0xa654, 0x5b52, 0xa650, 0x5b4d, 0xa64b, 0x5b49, 0xa647,
+  0x5b45, 0xa642, 0x5b40, 0xa63e, 0x5b3c, 0xa639, 0x5b37, 0xa635,
+  0x5b33, 0xa630, 0x5b2f, 0xa62c, 0x5b2a, 0xa627, 0x5b26, 0xa623,
+  0x5b21, 0xa61f, 0x5b1d, 0xa61a, 0x5b19, 0xa616, 0x5b14, 0xa611,
+  0x5b10, 0xa60d, 0x5b0b, 0xa608, 0x5b07, 0xa604, 0x5b02, 0xa5ff,
+  0x5afe, 0xa5fb, 0x5afa, 0xa5f6, 0x5af5, 0xa5f2, 0x5af1, 0xa5ed,
+  0x5aec, 0xa5e9, 0x5ae8, 0xa5e4, 0x5ae4, 0xa5e0, 0x5adf, 0xa5dc,
+  0x5adb, 0xa5d7, 0x5ad6, 0xa5d3, 0x5ad2, 0xa5ce, 0x5acd, 0xa5ca,
+  0x5ac9, 0xa5c5, 0x5ac5, 0xa5c1, 0x5ac0, 0xa5bc, 0x5abc, 0xa5b8,
+  0x5ab7, 0xa5b3, 0x5ab3, 0xa5af, 0x5aae, 0xa5aa, 0x5aaa, 0xa5a6,
+  0x5aa5, 0xa5a2, 0x5aa1, 0xa59d, 0x5a9d, 0xa599, 0x5a98, 0xa594,
+  0x5a94, 0xa590, 0x5a8f, 0xa58b, 0x5a8b, 0xa587, 0x5a86, 0xa582,
+  0x5a82, 0xa57e, 0x5a7e, 0xa57a, 0x5a79, 0xa575, 0x5a75, 0xa571,
+  0x5a70, 0xa56c, 0x5a6c, 0xa568, 0x5a67, 0xa563, 0x5a63, 0xa55f,
+  0x5a5e, 0xa55b, 0x5a5a, 0xa556, 0x5a56, 0xa552, 0x5a51, 0xa54d,
+  0x5a4d, 0xa549, 0x5a48, 0xa544, 0x5a44, 0xa540, 0x5a3f, 0xa53b,
+  0x5a3b, 0xa537, 0x5a36, 0xa533, 0x5a32, 0xa52e, 0x5a2d, 0xa52a,
+  0x5a29, 0xa525, 0x5a24, 0xa521, 0x5a20, 0xa51c, 0x5a1c, 0xa518,
+  0x5a17, 0xa514, 0x5a13, 0xa50f, 0x5a0e, 0xa50b, 0x5a0a, 0xa506,
+  0x5a05, 0xa502, 0x5a01, 0xa4fe, 0x59fc, 0xa4f9, 0x59f8, 0xa4f5,
+  0x59f3, 0xa4f0, 0x59ef, 0xa4ec, 0x59ea, 0xa4e7, 0x59e6, 0xa4e3,
+  0x59e1, 0xa4df, 0x59dd, 0xa4da, 0x59d9, 0xa4d6, 0x59d4, 0xa4d1,
+  0x59d0, 0xa4cd, 0x59cb, 0xa4c9, 0x59c7, 0xa4c4, 0x59c2, 0xa4c0,
+  0x59be, 0xa4bb, 0x59b9, 0xa4b7, 0x59b5, 0xa4b3, 0x59b0, 0xa4ae,
+  0x59ac, 0xa4aa, 0x59a7, 0xa4a5, 0x59a3, 0xa4a1, 0x599e, 0xa49d,
+  0x599a, 0xa498, 0x5995, 0xa494, 0x5991, 0xa48f, 0x598c, 0xa48b,
+  0x5988, 0xa487, 0x5983, 0xa482, 0x597f, 0xa47e, 0x597a, 0xa479,
+  0x5976, 0xa475, 0x5971, 0xa471, 0x596d, 0xa46c, 0x5968, 0xa468,
+  0x5964, 0xa463, 0x595f, 0xa45f, 0x595b, 0xa45b, 0x5956, 0xa456,
+  0x5952, 0xa452, 0x594d, 0xa44e, 0x5949, 0xa449, 0x5944, 0xa445,
+  0x5940, 0xa440, 0x593b, 0xa43c, 0x5937, 0xa438, 0x5932, 0xa433,
+  0x592e, 0xa42f, 0x5929, 0xa42a, 0x5925, 0xa426, 0x5920, 0xa422,
+  0x591c, 0xa41d, 0x5917, 0xa419, 0x5913, 0xa415, 0x590e, 0xa410,
+  0x590a, 0xa40c, 0x5905, 0xa407, 0x5901, 0xa403, 0x58fc, 0xa3ff,
+  0x58f8, 0xa3fa, 0x58f3, 0xa3f6, 0x58ef, 0xa3f2, 0x58ea, 0xa3ed,
+  0x58e6, 0xa3e9, 0x58e1, 0xa3e5, 0x58dd, 0xa3e0, 0x58d8, 0xa3dc,
+  0x58d4, 0xa3d7, 0x58cf, 0xa3d3, 0x58cb, 0xa3cf, 0x58c6, 0xa3ca,
+  0x58c1, 0xa3c6, 0x58bd, 0xa3c2, 0x58b8, 0xa3bd, 0x58b4, 0xa3b9,
+  0x58af, 0xa3b5, 0x58ab, 0xa3b0, 0x58a6, 0xa3ac, 0x58a2, 0xa3a8,
+  0x589d, 0xa3a3, 0x5899, 0xa39f, 0x5894, 0xa39a, 0x5890, 0xa396,
+  0x588b, 0xa392, 0x5887, 0xa38d, 0x5882, 0xa389, 0x587d, 0xa385,
+  0x5879, 0xa380, 0x5874, 0xa37c, 0x5870, 0xa378, 0x586b, 0xa373,
+  0x5867, 0xa36f, 0x5862, 0xa36b, 0x585e, 0xa366, 0x5859, 0xa362,
+  0x5855, 0xa35e, 0x5850, 0xa359, 0x584b, 0xa355, 0x5847, 0xa351,
+  0x5842, 0xa34c, 0x583e, 0xa348, 0x5839, 0xa344, 0x5835, 0xa33f,
+  0x5830, 0xa33b, 0x582c, 0xa337, 0x5827, 0xa332, 0x5822, 0xa32e,
+  0x581e, 0xa32a, 0x5819, 0xa325, 0x5815, 0xa321, 0x5810, 0xa31d,
+  0x580c, 0xa318, 0x5807, 0xa314, 0x5803, 0xa310, 0x57fe, 0xa30b,
+  0x57f9, 0xa307, 0x57f5, 0xa303, 0x57f0, 0xa2ff, 0x57ec, 0xa2fa,
+  0x57e7, 0xa2f6, 0x57e3, 0xa2f2, 0x57de, 0xa2ed, 0x57d9, 0xa2e9,
+  0x57d5, 0xa2e5, 0x57d0, 0xa2e0, 0x57cc, 0xa2dc, 0x57c7, 0xa2d8,
+  0x57c3, 0xa2d3, 0x57be, 0xa2cf, 0x57b9, 0xa2cb, 0x57b5, 0xa2c6,
+  0x57b0, 0xa2c2, 0x57ac, 0xa2be, 0x57a7, 0xa2ba, 0x57a3, 0xa2b5,
+  0x579e, 0xa2b1, 0x5799, 0xa2ad, 0x5795, 0xa2a8, 0x5790, 0xa2a4,
+  0x578c, 0xa2a0, 0x5787, 0xa29b, 0x5783, 0xa297, 0x577e, 0xa293,
+  0x5779, 0xa28f, 0x5775, 0xa28a, 0x5770, 0xa286, 0x576c, 0xa282,
+  0x5767, 0xa27d, 0x5762, 0xa279, 0x575e, 0xa275, 0x5759, 0xa271,
+  0x5755, 0xa26c, 0x5750, 0xa268, 0x574b, 0xa264, 0x5747, 0xa25f,
+  0x5742, 0xa25b, 0x573e, 0xa257, 0x5739, 0xa253, 0x5734, 0xa24e,
+  0x5730, 0xa24a, 0x572b, 0xa246, 0x5727, 0xa241, 0x5722, 0xa23d,
+  0x571d, 0xa239, 0x5719, 0xa235, 0x5714, 0xa230, 0x5710, 0xa22c,
+  0x570b, 0xa228, 0x5706, 0xa224, 0x5702, 0xa21f, 0x56fd, 0xa21b,
+  0x56f9, 0xa217, 0x56f4, 0xa212, 0x56ef, 0xa20e, 0x56eb, 0xa20a,
+  0x56e6, 0xa206, 0x56e2, 0xa201, 0x56dd, 0xa1fd, 0x56d8, 0xa1f9,
+  0x56d4, 0xa1f5, 0x56cf, 0xa1f0, 0x56ca, 0xa1ec, 0x56c6, 0xa1e8,
+  0x56c1, 0xa1e4, 0x56bd, 0xa1df, 0x56b8, 0xa1db, 0x56b3, 0xa1d7,
+  0x56af, 0xa1d3, 0x56aa, 0xa1ce, 0x56a5, 0xa1ca, 0x56a1, 0xa1c6,
+  0x569c, 0xa1c1, 0x5698, 0xa1bd, 0x5693, 0xa1b9, 0x568e, 0xa1b5,
+  0x568a, 0xa1b0, 0x5685, 0xa1ac, 0x5680, 0xa1a8, 0x567c, 0xa1a4,
+  0x5677, 0xa1a0, 0x5673, 0xa19b, 0x566e, 0xa197, 0x5669, 0xa193,
+  0x5665, 0xa18f, 0x5660, 0xa18a, 0x565b, 0xa186, 0x5657, 0xa182,
+  0x5652, 0xa17e, 0x564d, 0xa179, 0x5649, 0xa175, 0x5644, 0xa171,
+  0x5640, 0xa16d, 0x563b, 0xa168, 0x5636, 0xa164, 0x5632, 0xa160,
+  0x562d, 0xa15c, 0x5628, 0xa157, 0x5624, 0xa153, 0x561f, 0xa14f,
+  0x561a, 0xa14b, 0x5616, 0xa147, 0x5611, 0xa142, 0x560c, 0xa13e,
+  0x5608, 0xa13a, 0x5603, 0xa136, 0x55fe, 0xa131, 0x55fa, 0xa12d,
+  0x55f5, 0xa129, 0x55f0, 0xa125, 0x55ec, 0xa121, 0x55e7, 0xa11c,
+  0x55e3, 0xa118, 0x55de, 0xa114, 0x55d9, 0xa110, 0x55d5, 0xa10b,
+  0x55d0, 0xa107, 0x55cb, 0xa103, 0x55c7, 0xa0ff, 0x55c2, 0xa0fb,
+  0x55bd, 0xa0f6, 0x55b9, 0xa0f2, 0x55b4, 0xa0ee, 0x55af, 0xa0ea,
+  0x55ab, 0xa0e6, 0x55a6, 0xa0e1, 0x55a1, 0xa0dd, 0x559d, 0xa0d9,
+  0x5598, 0xa0d5, 0x5593, 0xa0d1, 0x558f, 0xa0cc, 0x558a, 0xa0c8,
+  0x5585, 0xa0c4, 0x5581, 0xa0c0, 0x557c, 0xa0bc, 0x5577, 0xa0b7,
+  0x5572, 0xa0b3, 0x556e, 0xa0af, 0x5569, 0xa0ab, 0x5564, 0xa0a7,
+  0x5560, 0xa0a2, 0x555b, 0xa09e, 0x5556, 0xa09a, 0x5552, 0xa096,
+  0x554d, 0xa092, 0x5548, 0xa08e, 0x5544, 0xa089, 0x553f, 0xa085,
+  0x553a, 0xa081, 0x5536, 0xa07d, 0x5531, 0xa079, 0x552c, 0xa074,
+  0x5528, 0xa070, 0x5523, 0xa06c, 0x551e, 0xa068, 0x5519, 0xa064,
+  0x5515, 0xa060, 0x5510, 0xa05b, 0x550b, 0xa057, 0x5507, 0xa053,
+  0x5502, 0xa04f, 0x54fd, 0xa04b, 0x54f9, 0xa046, 0x54f4, 0xa042,
+  0x54ef, 0xa03e, 0x54ea, 0xa03a, 0x54e6, 0xa036, 0x54e1, 0xa032,
+  0x54dc, 0xa02d, 0x54d8, 0xa029, 0x54d3, 0xa025, 0x54ce, 0xa021,
+  0x54ca, 0xa01d, 0x54c5, 0xa019, 0x54c0, 0xa014, 0x54bb, 0xa010,
+  0x54b7, 0xa00c, 0x54b2, 0xa008, 0x54ad, 0xa004, 0x54a9, 0xa000,
+  0x54a4, 0x9ffc, 0x549f, 0x9ff7, 0x549a, 0x9ff3, 0x5496, 0x9fef,
+  0x5491, 0x9feb, 0x548c, 0x9fe7, 0x5488, 0x9fe3, 0x5483, 0x9fde,
+  0x547e, 0x9fda, 0x5479, 0x9fd6, 0x5475, 0x9fd2, 0x5470, 0x9fce,
+  0x546b, 0x9fca, 0x5467, 0x9fc6, 0x5462, 0x9fc1, 0x545d, 0x9fbd,
+  0x5458, 0x9fb9, 0x5454, 0x9fb5, 0x544f, 0x9fb1, 0x544a, 0x9fad,
+  0x5445, 0x9fa9, 0x5441, 0x9fa4, 0x543c, 0x9fa0, 0x5437, 0x9f9c,
+  0x5433, 0x9f98, 0x542e, 0x9f94, 0x5429, 0x9f90, 0x5424, 0x9f8c,
+  0x5420, 0x9f88, 0x541b, 0x9f83, 0x5416, 0x9f7f, 0x5411, 0x9f7b,
+  0x540d, 0x9f77, 0x5408, 0x9f73, 0x5403, 0x9f6f, 0x53fe, 0x9f6b,
+  0x53fa, 0x9f67, 0x53f5, 0x9f62, 0x53f0, 0x9f5e, 0x53eb, 0x9f5a,
+  0x53e7, 0x9f56, 0x53e2, 0x9f52, 0x53dd, 0x9f4e, 0x53d8, 0x9f4a,
+  0x53d4, 0x9f46, 0x53cf, 0x9f41, 0x53ca, 0x9f3d, 0x53c5, 0x9f39,
+  0x53c1, 0x9f35, 0x53bc, 0x9f31, 0x53b7, 0x9f2d, 0x53b2, 0x9f29,
+  0x53ae, 0x9f25, 0x53a9, 0x9f21, 0x53a4, 0x9f1c, 0x539f, 0x9f18,
+  0x539b, 0x9f14, 0x5396, 0x9f10, 0x5391, 0x9f0c, 0x538c, 0x9f08,
+  0x5388, 0x9f04, 0x5383, 0x9f00, 0x537e, 0x9efc, 0x5379, 0x9ef8,
+  0x5375, 0x9ef3, 0x5370, 0x9eef, 0x536b, 0x9eeb, 0x5366, 0x9ee7,
+  0x5362, 0x9ee3, 0x535d, 0x9edf, 0x5358, 0x9edb, 0x5353, 0x9ed7,
+  0x534e, 0x9ed3, 0x534a, 0x9ecf, 0x5345, 0x9ecb, 0x5340, 0x9ec6,
+  0x533b, 0x9ec2, 0x5337, 0x9ebe, 0x5332, 0x9eba, 0x532d, 0x9eb6,
+  0x5328, 0x9eb2, 0x5323, 0x9eae, 0x531f, 0x9eaa, 0x531a, 0x9ea6,
+  0x5315, 0x9ea2, 0x5310, 0x9e9e, 0x530c, 0x9e9a, 0x5307, 0x9e95,
+  0x5302, 0x9e91, 0x52fd, 0x9e8d, 0x52f8, 0x9e89, 0x52f4, 0x9e85,
+  0x52ef, 0x9e81, 0x52ea, 0x9e7d, 0x52e5, 0x9e79, 0x52e1, 0x9e75,
+  0x52dc, 0x9e71, 0x52d7, 0x9e6d, 0x52d2, 0x9e69, 0x52cd, 0x9e65,
+  0x52c9, 0x9e61, 0x52c4, 0x9e5d, 0x52bf, 0x9e58, 0x52ba, 0x9e54,
+  0x52b5, 0x9e50, 0x52b1, 0x9e4c, 0x52ac, 0x9e48, 0x52a7, 0x9e44,
+  0x52a2, 0x9e40, 0x529d, 0x9e3c, 0x5299, 0x9e38, 0x5294, 0x9e34,
+  0x528f, 0x9e30, 0x528a, 0x9e2c, 0x5285, 0x9e28, 0x5281, 0x9e24,
+  0x527c, 0x9e20, 0x5277, 0x9e1c, 0x5272, 0x9e18, 0x526d, 0x9e14,
+  0x5269, 0x9e0f, 0x5264, 0x9e0b, 0x525f, 0x9e07, 0x525a, 0x9e03,
+  0x5255, 0x9dff, 0x5251, 0x9dfb, 0x524c, 0x9df7, 0x5247, 0x9df3,
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+  0x5208, 0x9dbf, 0x5203, 0x9dbb, 0x51ff, 0x9db7, 0x51fa, 0x9db3,
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+  0x5181, 0x9d4e, 0x517c, 0x9d4a, 0x5177, 0x9d46, 0x5172, 0x9d42,
+  0x516e, 0x9d3e, 0x5169, 0x9d3a, 0x5164, 0x9d36, 0x515f, 0x9d32,
+  0x515a, 0x9d2e, 0x5155, 0x9d2a, 0x5150, 0x9d26, 0x514c, 0x9d22,
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+  0x510c, 0x9cef, 0x5108, 0x9ceb, 0x5103, 0x9ce7, 0x50fe, 0x9ce3,
+  0x50f9, 0x9cdf, 0x50f4, 0x9cdb, 0x50ef, 0x9cd7, 0x50ea, 0x9cd3,
+  0x50e5, 0x9ccf, 0x50e1, 0x9ccb, 0x50dc, 0x9cc7, 0x50d7, 0x9cc3,
+  0x50d2, 0x9cbf, 0x50cd, 0x9cbb, 0x50c8, 0x9cb7, 0x50c3, 0x9cb3,
+  0x50bf, 0x9caf, 0x50ba, 0x9cab, 0x50b5, 0x9ca7, 0x50b0, 0x9ca3,
+  0x50ab, 0x9c9f, 0x50a6, 0x9c9b, 0x50a1, 0x9c97, 0x509c, 0x9c93,
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+  0x505d, 0x9c60, 0x5058, 0x9c5c, 0x5053, 0x9c58, 0x504e, 0x9c54,
+  0x5049, 0x9c50, 0x5044, 0x9c4c, 0x503f, 0x9c48, 0x503b, 0x9c44,
+  0x5036, 0x9c40, 0x5031, 0x9c3d, 0x502c, 0x9c39, 0x5027, 0x9c35,
+  0x5022, 0x9c31, 0x501d, 0x9c2d, 0x5018, 0x9c29, 0x5013, 0x9c25,
+  0x500f, 0x9c21, 0x500a, 0x9c1d, 0x5005, 0x9c19, 0x5000, 0x9c15,
+  0x4ffb, 0x9c11, 0x4ff6, 0x9c0d, 0x4ff1, 0x9c09, 0x4fec, 0x9c06,
+  0x4fe7, 0x9c02, 0x4fe2, 0x9bfe, 0x4fdd, 0x9bfa, 0x4fd9, 0x9bf6,
+  0x4fd4, 0x9bf2, 0x4fcf, 0x9bee, 0x4fca, 0x9bea, 0x4fc5, 0x9be6,
+  0x4fc0, 0x9be2, 0x4fbb, 0x9bde, 0x4fb6, 0x9bda, 0x4fb1, 0x9bd7,
+  0x4fac, 0x9bd3, 0x4fa7, 0x9bcf, 0x4fa2, 0x9bcb, 0x4f9e, 0x9bc7,
+  0x4f99, 0x9bc3, 0x4f94, 0x9bbf, 0x4f8f, 0x9bbb, 0x4f8a, 0x9bb7,
+  0x4f85, 0x9bb3, 0x4f80, 0x9baf, 0x4f7b, 0x9bac, 0x4f76, 0x9ba8,
+  0x4f71, 0x9ba4, 0x4f6c, 0x9ba0, 0x4f67, 0x9b9c, 0x4f62, 0x9b98,
+  0x4f5e, 0x9b94, 0x4f59, 0x9b90, 0x4f54, 0x9b8c, 0x4f4f, 0x9b88,
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+  0x4f36, 0x9b75, 0x4f31, 0x9b71, 0x4f2c, 0x9b6d, 0x4f27, 0x9b69,
+  0x4f22, 0x9b65, 0x4f1d, 0x9b62, 0x4f18, 0x9b5e, 0x4f14, 0x9b5a,
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+  0x4ee7, 0x9b37, 0x4ee2, 0x9b33, 0x4edd, 0x9b2f, 0x4ed8, 0x9b2b,
+  0x4ed3, 0x9b27, 0x4ece, 0x9b24, 0x4ec9, 0x9b20, 0x4ec4, 0x9b1c,
+  0x4ebf, 0x9b18, 0x4eba, 0x9b14, 0x4eb6, 0x9b10, 0x4eb1, 0x9b0c,
+  0x4eac, 0x9b09, 0x4ea7, 0x9b05, 0x4ea2, 0x9b01, 0x4e9d, 0x9afd,
+  0x4e98, 0x9af9, 0x4e93, 0x9af5, 0x4e8e, 0x9af1, 0x4e89, 0x9aed,
+  0x4e84, 0x9aea, 0x4e7f, 0x9ae6, 0x4e7a, 0x9ae2, 0x4e75, 0x9ade,
+  0x4e70, 0x9ada, 0x4e6b, 0x9ad6, 0x4e66, 0x9ad3, 0x4e61, 0x9acf,
+  0x4e5c, 0x9acb, 0x4e57, 0x9ac7, 0x4e52, 0x9ac3, 0x4e4d, 0x9abf,
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+  0x4de5, 0x9a6f, 0x4de0, 0x9a6b, 0x4ddb, 0x9a67, 0x4dd6, 0x9a63,
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+  0x4da9, 0x9a41, 0x4da4, 0x9a3d, 0x4d9f, 0x9a39, 0x4d9a, 0x9a36,
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+  0x4d1d, 0x99d7, 0x4d18, 0x99d3, 0x4d13, 0x99cf, 0x4d0e, 0x99cb,
+  0x4d09, 0x99c7, 0x4d04, 0x99c4, 0x4cff, 0x99c0, 0x4cfa, 0x99bc,
+  0x4cf5, 0x99b8, 0x4cf0, 0x99b5, 0x4ceb, 0x99b1, 0x4ce6, 0x99ad,
+  0x4ce1, 0x99a9, 0x4cdb, 0x99a5, 0x4cd6, 0x99a2, 0x4cd1, 0x999e,
+  0x4ccc, 0x999a, 0x4cc7, 0x9996, 0x4cc2, 0x9993, 0x4cbd, 0x998f,
+  0x4cb8, 0x998b, 0x4cb3, 0x9987, 0x4cae, 0x9984, 0x4ca9, 0x9980,
+  0x4ca4, 0x997c, 0x4c9f, 0x9978, 0x4c9a, 0x9975, 0x4c95, 0x9971,
+  0x4c90, 0x996d, 0x4c8b, 0x9969, 0x4c86, 0x9965, 0x4c81, 0x9962,
+  0x4c7c, 0x995e, 0x4c77, 0x995a, 0x4c72, 0x9956, 0x4c6d, 0x9953,
+  0x4c68, 0x994f, 0x4c63, 0x994b, 0x4c5e, 0x9947, 0x4c59, 0x9944,
+  0x4c54, 0x9940, 0x4c4f, 0x993c, 0x4c49, 0x9938, 0x4c44, 0x9935,
+  0x4c3f, 0x9931, 0x4c3a, 0x992d, 0x4c35, 0x992a, 0x4c30, 0x9926,
+  0x4c2b, 0x9922, 0x4c26, 0x991e, 0x4c21, 0x991b, 0x4c1c, 0x9917,
+  0x4c17, 0x9913, 0x4c12, 0x990f, 0x4c0d, 0x990c, 0x4c08, 0x9908,
+  0x4c03, 0x9904, 0x4bfe, 0x9900, 0x4bf9, 0x98fd, 0x4bf4, 0x98f9,
+  0x4bef, 0x98f5, 0x4be9, 0x98f2, 0x4be4, 0x98ee, 0x4bdf, 0x98ea,
+  0x4bda, 0x98e6, 0x4bd5, 0x98e3, 0x4bd0, 0x98df, 0x4bcb, 0x98db,
+  0x4bc6, 0x98d7, 0x4bc1, 0x98d4, 0x4bbc, 0x98d0, 0x4bb7, 0x98cc,
+  0x4bb2, 0x98c9, 0x4bad, 0x98c5, 0x4ba8, 0x98c1, 0x4ba3, 0x98bd,
+  0x4b9e, 0x98ba, 0x4b98, 0x98b6, 0x4b93, 0x98b2, 0x4b8e, 0x98af,
+  0x4b89, 0x98ab, 0x4b84, 0x98a7, 0x4b7f, 0x98a3, 0x4b7a, 0x98a0,
+  0x4b75, 0x989c, 0x4b70, 0x9898, 0x4b6b, 0x9895, 0x4b66, 0x9891,
+  0x4b61, 0x988d, 0x4b5c, 0x988a, 0x4b56, 0x9886, 0x4b51, 0x9882,
+  0x4b4c, 0x987e, 0x4b47, 0x987b, 0x4b42, 0x9877, 0x4b3d, 0x9873,
+  0x4b38, 0x9870, 0x4b33, 0x986c, 0x4b2e, 0x9868, 0x4b29, 0x9865,
+  0x4b24, 0x9861, 0x4b1f, 0x985d, 0x4b19, 0x985a, 0x4b14, 0x9856,
+  0x4b0f, 0x9852, 0x4b0a, 0x984e, 0x4b05, 0x984b, 0x4b00, 0x9847,
+  0x4afb, 0x9843, 0x4af6, 0x9840, 0x4af1, 0x983c, 0x4aec, 0x9838,
+  0x4ae7, 0x9835, 0x4ae1, 0x9831, 0x4adc, 0x982d, 0x4ad7, 0x982a,
+  0x4ad2, 0x9826, 0x4acd, 0x9822, 0x4ac8, 0x981f, 0x4ac3, 0x981b,
+  0x4abe, 0x9817, 0x4ab9, 0x9814, 0x4ab4, 0x9810, 0x4aae, 0x980c,
+  0x4aa9, 0x9809, 0x4aa4, 0x9805, 0x4a9f, 0x9801, 0x4a9a, 0x97fe,
+  0x4a95, 0x97fa, 0x4a90, 0x97f6, 0x4a8b, 0x97f3, 0x4a86, 0x97ef,
+  0x4a81, 0x97eb, 0x4a7b, 0x97e8, 0x4a76, 0x97e4, 0x4a71, 0x97e0,
+  0x4a6c, 0x97dd, 0x4a67, 0x97d9, 0x4a62, 0x97d5, 0x4a5d, 0x97d2,
+  0x4a58, 0x97ce, 0x4a52, 0x97cb, 0x4a4d, 0x97c7, 0x4a48, 0x97c3,
+  0x4a43, 0x97c0, 0x4a3e, 0x97bc, 0x4a39, 0x97b8, 0x4a34, 0x97b5,
+  0x4a2f, 0x97b1, 0x4a2a, 0x97ad, 0x4a24, 0x97aa, 0x4a1f, 0x97a6,
+  0x4a1a, 0x97a2, 0x4a15, 0x979f, 0x4a10, 0x979b, 0x4a0b, 0x9798,
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+  0x49f1, 0x9785, 0x49ec, 0x9782, 0x49e7, 0x977e, 0x49e2, 0x977a,
+  0x49dd, 0x9777, 0x49d8, 0x9773, 0x49d2, 0x9770, 0x49cd, 0x976c,
+  0x49c8, 0x9768, 0x49c3, 0x9765, 0x49be, 0x9761, 0x49b9, 0x975d,
+  0x49b4, 0x975a, 0x49ae, 0x9756, 0x49a9, 0x9753, 0x49a4, 0x974f,
+  0x499f, 0x974b, 0x499a, 0x9748, 0x4995, 0x9744, 0x4990, 0x9741,
+  0x498a, 0x973d, 0x4985, 0x9739, 0x4980, 0x9736, 0x497b, 0x9732,
+  0x4976, 0x972f, 0x4971, 0x972b, 0x496c, 0x9727, 0x4966, 0x9724,
+  0x4961, 0x9720, 0x495c, 0x971d, 0x4957, 0x9719, 0x4952, 0x9715,
+  0x494d, 0x9712, 0x4948, 0x970e, 0x4942, 0x970b, 0x493d, 0x9707,
+  0x4938, 0x9703, 0x4933, 0x9700, 0x492e, 0x96fc, 0x4929, 0x96f9,
+  0x4923, 0x96f5, 0x491e, 0x96f1, 0x4919, 0x96ee, 0x4914, 0x96ea,
+  0x490f, 0x96e7, 0x490a, 0x96e3, 0x4905, 0x96df, 0x48ff, 0x96dc,
+  0x48fa, 0x96d8, 0x48f5, 0x96d5, 0x48f0, 0x96d1, 0x48eb, 0x96ce,
+  0x48e6, 0x96ca, 0x48e0, 0x96c6, 0x48db, 0x96c3, 0x48d6, 0x96bf,
+  0x48d1, 0x96bc, 0x48cc, 0x96b8, 0x48c7, 0x96b5, 0x48c1, 0x96b1,
+  0x48bc, 0x96ad, 0x48b7, 0x96aa, 0x48b2, 0x96a6, 0x48ad, 0x96a3,
+  0x48a8, 0x969f, 0x48a2, 0x969c, 0x489d, 0x9698, 0x4898, 0x9694,
+  0x4893, 0x9691, 0x488e, 0x968d, 0x4888, 0x968a, 0x4883, 0x9686,
+  0x487e, 0x9683, 0x4879, 0x967f, 0x4874, 0x967b, 0x486f, 0x9678,
+  0x4869, 0x9674, 0x4864, 0x9671, 0x485f, 0x966d, 0x485a, 0x966a,
+  0x4855, 0x9666, 0x484f, 0x9663, 0x484a, 0x965f, 0x4845, 0x965b,
+  0x4840, 0x9658, 0x483b, 0x9654, 0x4836, 0x9651, 0x4830, 0x964d,
+  0x482b, 0x964a, 0x4826, 0x9646, 0x4821, 0x9643, 0x481c, 0x963f,
+  0x4816, 0x963c, 0x4811, 0x9638, 0x480c, 0x9635, 0x4807, 0x9631,
+  0x4802, 0x962d, 0x47fc, 0x962a, 0x47f7, 0x9626, 0x47f2, 0x9623,
+  0x47ed, 0x961f, 0x47e8, 0x961c, 0x47e2, 0x9618, 0x47dd, 0x9615,
+  0x47d8, 0x9611, 0x47d3, 0x960e, 0x47ce, 0x960a, 0x47c8, 0x9607,
+  0x47c3, 0x9603, 0x47be, 0x9600, 0x47b9, 0x95fc, 0x47b4, 0x95f9,
+  0x47ae, 0x95f5, 0x47a9, 0x95f2, 0x47a4, 0x95ee, 0x479f, 0x95ea,
+  0x479a, 0x95e7, 0x4794, 0x95e3, 0x478f, 0x95e0, 0x478a, 0x95dc,
+  0x4785, 0x95d9, 0x4780, 0x95d5, 0x477a, 0x95d2, 0x4775, 0x95ce,
+  0x4770, 0x95cb, 0x476b, 0x95c7, 0x4765, 0x95c4, 0x4760, 0x95c0,
+  0x475b, 0x95bd, 0x4756, 0x95b9, 0x4751, 0x95b6, 0x474b, 0x95b2,
+  0x4746, 0x95af, 0x4741, 0x95ab, 0x473c, 0x95a8, 0x4737, 0x95a4,
+  0x4731, 0x95a1, 0x472c, 0x959d, 0x4727, 0x959a, 0x4722, 0x9596,
+  0x471c, 0x9593, 0x4717, 0x958f, 0x4712, 0x958c, 0x470d, 0x9588,
+  0x4708, 0x9585, 0x4702, 0x9581, 0x46fd, 0x957e, 0x46f8, 0x957a,
+  0x46f3, 0x9577, 0x46ed, 0x9574, 0x46e8, 0x9570, 0x46e3, 0x956d,
+  0x46de, 0x9569, 0x46d8, 0x9566, 0x46d3, 0x9562, 0x46ce, 0x955f,
+  0x46c9, 0x955b, 0x46c4, 0x9558, 0x46be, 0x9554, 0x46b9, 0x9551,
+  0x46b4, 0x954d, 0x46af, 0x954a, 0x46a9, 0x9546, 0x46a4, 0x9543,
+  0x469f, 0x953f, 0x469a, 0x953c, 0x4694, 0x9538, 0x468f, 0x9535,
+  0x468a, 0x9532, 0x4685, 0x952e, 0x467f, 0x952b, 0x467a, 0x9527,
+  0x4675, 0x9524, 0x4670, 0x9520, 0x466a, 0x951d, 0x4665, 0x9519,
+  0x4660, 0x9516, 0x465b, 0x9512, 0x4655, 0x950f, 0x4650, 0x950c,
+  0x464b, 0x9508, 0x4646, 0x9505, 0x4640, 0x9501, 0x463b, 0x94fe,
+  0x4636, 0x94fa, 0x4631, 0x94f7, 0x462b, 0x94f3, 0x4626, 0x94f0,
+  0x4621, 0x94ed, 0x461c, 0x94e9, 0x4616, 0x94e6, 0x4611, 0x94e2,
+  0x460c, 0x94df, 0x4607, 0x94db, 0x4601, 0x94d8, 0x45fc, 0x94d4,
+  0x45f7, 0x94d1, 0x45f2, 0x94ce, 0x45ec, 0x94ca, 0x45e7, 0x94c7,
+  0x45e2, 0x94c3, 0x45dd, 0x94c0, 0x45d7, 0x94bc, 0x45d2, 0x94b9,
+  0x45cd, 0x94b6, 0x45c7, 0x94b2, 0x45c2, 0x94af, 0x45bd, 0x94ab,
+  0x45b8, 0x94a8, 0x45b2, 0x94a4, 0x45ad, 0x94a1, 0x45a8, 0x949e,
+  0x45a3, 0x949a, 0x459d, 0x9497, 0x4598, 0x9493, 0x4593, 0x9490,
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+  0x2c98, 0x8806, 0x2c93, 0x8804, 0x2c8d, 0x8801, 0x2c87, 0x87ff,
+  0x2c81, 0x87fd, 0x2c7b, 0x87fb, 0x2c75, 0x87f9, 0x2c6f, 0x87f6,
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+  0x2c3a, 0x87e3, 0x2c34, 0x87e1, 0x2c2e, 0x87df, 0x2c29, 0x87dc,
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+  0x2bf3, 0x87c9, 0x2bee, 0x87c7, 0x2be8, 0x87c5, 0x2be2, 0x87c2,
+  0x2bdc, 0x87c0, 0x2bd6, 0x87be, 0x2bd0, 0x87bc, 0x2bca, 0x87ba,
+  0x2bc4, 0x87b8, 0x2bbe, 0x87b6, 0x2bb8, 0x87b3, 0x2bb2, 0x87b1,
+  0x2bad, 0x87af, 0x2ba7, 0x87ad, 0x2ba1, 0x87ab, 0x2b9b, 0x87a9,
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+  0x2b7d, 0x879e, 0x2b77, 0x879c, 0x2b71, 0x879a, 0x2b6c, 0x8798,
+  0x2b66, 0x8795, 0x2b60, 0x8793, 0x2b5a, 0x8791, 0x2b54, 0x878f,
+  0x2b4e, 0x878d, 0x2b48, 0x878b, 0x2b42, 0x8789, 0x2b3c, 0x8787,
+  0x2b36, 0x8784, 0x2b30, 0x8782, 0x2b2b, 0x8780, 0x2b25, 0x877e,
+  0x2b1f, 0x877c, 0x2b19, 0x877a, 0x2b13, 0x8778, 0x2b0d, 0x8776,
+  0x2b07, 0x8774, 0x2b01, 0x8771, 0x2afb, 0x876f, 0x2af5, 0x876d,
+  0x2aef, 0x876b, 0x2ae9, 0x8769, 0x2ae4, 0x8767, 0x2ade, 0x8765,
+  0x2ad8, 0x8763, 0x2ad2, 0x8761, 0x2acc, 0x875e, 0x2ac6, 0x875c,
+  0x2ac0, 0x875a, 0x2aba, 0x8758, 0x2ab4, 0x8756, 0x2aae, 0x8754,
+  0x2aa8, 0x8752, 0x2aa2, 0x8750, 0x2a9c, 0x874e, 0x2a97, 0x874c,
+  0x2a91, 0x874a, 0x2a8b, 0x8747, 0x2a85, 0x8745, 0x2a7f, 0x8743,
+  0x2a79, 0x8741, 0x2a73, 0x873f, 0x2a6d, 0x873d, 0x2a67, 0x873b,
+  0x2a61, 0x8739, 0x2a5b, 0x8737, 0x2a55, 0x8735, 0x2a4f, 0x8733,
+  0x2a49, 0x8731, 0x2a44, 0x872e, 0x2a3e, 0x872c, 0x2a38, 0x872a,
+  0x2a32, 0x8728, 0x2a2c, 0x8726, 0x2a26, 0x8724, 0x2a20, 0x8722,
+  0x2a1a, 0x8720, 0x2a14, 0x871e, 0x2a0e, 0x871c, 0x2a08, 0x871a,
+  0x2a02, 0x8718, 0x29fc, 0x8716, 0x29f6, 0x8714, 0x29f0, 0x8712,
+  0x29eb, 0x870f, 0x29e5, 0x870d, 0x29df, 0x870b, 0x29d9, 0x8709,
+  0x29d3, 0x8707, 0x29cd, 0x8705, 0x29c7, 0x8703, 0x29c1, 0x8701,
+  0x29bb, 0x86ff, 0x29b5, 0x86fd, 0x29af, 0x86fb, 0x29a9, 0x86f9,
+  0x29a3, 0x86f7, 0x299d, 0x86f5, 0x2997, 0x86f3, 0x2991, 0x86f1,
+  0x298b, 0x86ef, 0x2986, 0x86ed, 0x2980, 0x86eb, 0x297a, 0x86e9,
+  0x2974, 0x86e7, 0x296e, 0x86e4, 0x2968, 0x86e2, 0x2962, 0x86e0,
+  0x295c, 0x86de, 0x2956, 0x86dc, 0x2950, 0x86da, 0x294a, 0x86d8,
+  0x2944, 0x86d6, 0x293e, 0x86d4, 0x2938, 0x86d2, 0x2932, 0x86d0,
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+  0x2915, 0x86c6, 0x290f, 0x86c4, 0x2909, 0x86c2, 0x2903, 0x86c0,
+  0x28fd, 0x86be, 0x28f7, 0x86bc, 0x28f1, 0x86ba, 0x28eb, 0x86b8,
+  0x28e5, 0x86b6, 0x28df, 0x86b4, 0x28d9, 0x86b2, 0x28d3, 0x86b0,
+  0x28cd, 0x86ae, 0x28c7, 0x86ac, 0x28c1, 0x86aa, 0x28bb, 0x86a8,
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+  0x1d31, 0x8360, 0x1d2b, 0x835f, 0x1d25, 0x835d, 0x1d1f, 0x835c,
+  0x1d18, 0x835a, 0x1d12, 0x8359, 0x1d0c, 0x8358, 0x1d06, 0x8356,
+  0x1d00, 0x8355, 0x1cfa, 0x8353, 0x1cf4, 0x8352, 0x1cee, 0x8350,
+  0x1ce8, 0x834f, 0x1ce1, 0x834e, 0x1cdb, 0x834c, 0x1cd5, 0x834b,
+  0x1ccf, 0x8349, 0x1cc9, 0x8348, 0x1cc3, 0x8347, 0x1cbd, 0x8345,
+  0x1cb7, 0x8344, 0x1cb0, 0x8342, 0x1caa, 0x8341, 0x1ca4, 0x833f,
+  0x1c9e, 0x833e, 0x1c98, 0x833d, 0x1c92, 0x833b, 0x1c8c, 0x833a,
+  0x1c86, 0x8338, 0x1c7f, 0x8337, 0x1c79, 0x8336, 0x1c73, 0x8334,
+  0x1c6d, 0x8333, 0x1c67, 0x8331, 0x1c61, 0x8330, 0x1c5b, 0x832f,
+  0x1c55, 0x832d, 0x1c4e, 0x832c, 0x1c48, 0x832b, 0x1c42, 0x8329,
+  0x1c3c, 0x8328, 0x1c36, 0x8326, 0x1c30, 0x8325, 0x1c2a, 0x8324,
+  0x1c24, 0x8322, 0x1c1d, 0x8321, 0x1c17, 0x831f, 0x1c11, 0x831e,
+  0x1c0b, 0x831d, 0x1c05, 0x831b, 0x1bff, 0x831a, 0x1bf9, 0x8319,
+  0x1bf2, 0x8317, 0x1bec, 0x8316, 0x1be6, 0x8314, 0x1be0, 0x8313,
+  0x1bda, 0x8312, 0x1bd4, 0x8310, 0x1bce, 0x830f, 0x1bc8, 0x830e,
+  0x1bc1, 0x830c, 0x1bbb, 0x830b, 0x1bb5, 0x830a, 0x1baf, 0x8308,
+  0x1ba9, 0x8307, 0x1ba3, 0x8305, 0x1b9d, 0x8304, 0x1b96, 0x8303,
+  0x1b90, 0x8301, 0x1b8a, 0x8300, 0x1b84, 0x82ff, 0x1b7e, 0x82fd,
+  0x1b78, 0x82fc, 0x1b72, 0x82fb, 0x1b6c, 0x82f9, 0x1b65, 0x82f8,
+  0x1b5f, 0x82f7, 0x1b59, 0x82f5, 0x1b53, 0x82f4, 0x1b4d, 0x82f3,
+  0x1b47, 0x82f1, 0x1b41, 0x82f0, 0x1b3a, 0x82ef, 0x1b34, 0x82ed,
+  0x1b2e, 0x82ec, 0x1b28, 0x82eb, 0x1b22, 0x82e9, 0x1b1c, 0x82e8,
+  0x1b16, 0x82e7, 0x1b0f, 0x82e5, 0x1b09, 0x82e4, 0x1b03, 0x82e3,
+  0x1afd, 0x82e1, 0x1af7, 0x82e0, 0x1af1, 0x82df, 0x1aeb, 0x82dd,
+  0x1ae4, 0x82dc, 0x1ade, 0x82db, 0x1ad8, 0x82d9, 0x1ad2, 0x82d8,
+  0x1acc, 0x82d7, 0x1ac6, 0x82d5, 0x1ac0, 0x82d4, 0x1ab9, 0x82d3,
+  0x1ab3, 0x82d1, 0x1aad, 0x82d0, 0x1aa7, 0x82cf, 0x1aa1, 0x82ce,
+  0x1a9b, 0x82cc, 0x1a95, 0x82cb, 0x1a8e, 0x82ca, 0x1a88, 0x82c8,
+  0x1a82, 0x82c7, 0x1a7c, 0x82c6, 0x1a76, 0x82c4, 0x1a70, 0x82c3,
+  0x1a6a, 0x82c2, 0x1a63, 0x82c1, 0x1a5d, 0x82bf, 0x1a57, 0x82be,
+  0x1a51, 0x82bd, 0x1a4b, 0x82bb, 0x1a45, 0x82ba, 0x1a3e, 0x82b9,
+  0x1a38, 0x82b7, 0x1a32, 0x82b6, 0x1a2c, 0x82b5, 0x1a26, 0x82b4,
+  0x1a20, 0x82b2, 0x1a1a, 0x82b1, 0x1a13, 0x82b0, 0x1a0d, 0x82ae,
+  0x1a07, 0x82ad, 0x1a01, 0x82ac, 0x19fb, 0x82ab, 0x19f5, 0x82a9,
+  0x19ef, 0x82a8, 0x19e8, 0x82a7, 0x19e2, 0x82a6, 0x19dc, 0x82a4,
+  0x19d6, 0x82a3, 0x19d0, 0x82a2, 0x19ca, 0x82a0, 0x19c3, 0x829f,
+  0x19bd, 0x829e, 0x19b7, 0x829d, 0x19b1, 0x829b, 0x19ab, 0x829a,
+  0x19a5, 0x8299, 0x199f, 0x8298, 0x1998, 0x8296, 0x1992, 0x8295,
+  0x198c, 0x8294, 0x1986, 0x8293, 0x1980, 0x8291, 0x197a, 0x8290,
+  0x1973, 0x828f, 0x196d, 0x828e, 0x1967, 0x828c, 0x1961, 0x828b,
+  0x195b, 0x828a, 0x1955, 0x8289, 0x194e, 0x8287, 0x1948, 0x8286,
+  0x1942, 0x8285, 0x193c, 0x8284, 0x1936, 0x8282, 0x1930, 0x8281,
+  0x192a, 0x8280, 0x1923, 0x827f, 0x191d, 0x827e, 0x1917, 0x827c,
+  0x1911, 0x827b, 0x190b, 0x827a, 0x1905, 0x8279, 0x18fe, 0x8277,
+  0x18f8, 0x8276, 0x18f2, 0x8275, 0x18ec, 0x8274, 0x18e6, 0x8272,
+  0x18e0, 0x8271, 0x18d9, 0x8270, 0x18d3, 0x826f, 0x18cd, 0x826e,
+  0x18c7, 0x826c, 0x18c1, 0x826b, 0x18bb, 0x826a, 0x18b4, 0x8269,
+  0x18ae, 0x8268, 0x18a8, 0x8266, 0x18a2, 0x8265, 0x189c, 0x8264,
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+  0x187d, 0x825e, 0x1877, 0x825d, 0x1871, 0x825b, 0x186a, 0x825a,
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+  0xcbd, 0x80a3, 0xcb7, 0x80a3, 0xcb1, 0x80a2, 0xcab, 0x80a1,
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+  0xc0e, 0x8092, 0xc08, 0x8092, 0xc02, 0x8091, 0xbfb, 0x8090,
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+  0xbdc, 0x808e, 0xbd6, 0x808d, 0xbd0, 0x808c, 0xbc9, 0x808c,
+  0xbc3, 0x808b, 0xbbd, 0x808b, 0xbb7, 0x808a, 0xbb0, 0x8089,
+  0xbaa, 0x8089, 0xba4, 0x8088, 0xb9e, 0x8088, 0xb97, 0x8087,
+  0xb91, 0x8087, 0xb8b, 0x8086, 0xb85, 0x8085, 0xb7e, 0x8085,
+  0xb78, 0x8084, 0xb72, 0x8084, 0xb6c, 0x8083, 0xb65, 0x8083,
+  0xb5f, 0x8082, 0xb59, 0x8082, 0xb53, 0x8081, 0xb4c, 0x8080,
+  0xb46, 0x8080, 0xb40, 0x807f, 0xb3a, 0x807f, 0xb33, 0x807e,
+  0xb2d, 0x807e, 0xb27, 0x807d, 0xb20, 0x807d, 0xb1a, 0x807c,
+  0xb14, 0x807b, 0xb0e, 0x807b, 0xb07, 0x807a, 0xb01, 0x807a,
+  0xafb, 0x8079, 0xaf5, 0x8079, 0xaee, 0x8078, 0xae8, 0x8078,
+  0xae2, 0x8077, 0xadc, 0x8077, 0xad5, 0x8076, 0xacf, 0x8076,
+  0xac9, 0x8075, 0xac3, 0x8075, 0xabc, 0x8074, 0xab6, 0x8073,
+  0xab0, 0x8073, 0xaaa, 0x8072, 0xaa3, 0x8072, 0xa9d, 0x8071,
+  0xa97, 0x8071, 0xa90, 0x8070, 0xa8a, 0x8070, 0xa84, 0x806f,
+  0xa7e, 0x806f, 0xa77, 0x806e, 0xa71, 0x806e, 0xa6b, 0x806d,
+  0xa65, 0x806d, 0xa5e, 0x806c, 0xa58, 0x806c, 0xa52, 0x806b,
+  0xa4c, 0x806b, 0xa45, 0x806a, 0xa3f, 0x806a, 0xa39, 0x8069,
+  0xa33, 0x8069, 0xa2c, 0x8068, 0xa26, 0x8068, 0xa20, 0x8067,
+  0xa19, 0x8067, 0xa13, 0x8066, 0xa0d, 0x8066, 0xa07, 0x8065,
+  0xa00, 0x8065, 0x9fa, 0x8064, 0x9f4, 0x8064, 0x9ee, 0x8063,
+  0x9e7, 0x8063, 0x9e1, 0x8062, 0x9db, 0x8062, 0x9d5, 0x8061,
+  0x9ce, 0x8061, 0x9c8, 0x8060, 0x9c2, 0x8060, 0x9bc, 0x805f,
+  0x9b5, 0x805f, 0x9af, 0x805e, 0x9a9, 0x805e, 0x9a2, 0x805d,
+  0x99c, 0x805d, 0x996, 0x805d, 0x990, 0x805c, 0x989, 0x805c,
+  0x983, 0x805b, 0x97d, 0x805b, 0x977, 0x805a, 0x970, 0x805a,
+  0x96a, 0x8059, 0x964, 0x8059, 0x95e, 0x8058, 0x957, 0x8058,
+  0x951, 0x8057, 0x94b, 0x8057, 0x944, 0x8057, 0x93e, 0x8056,
+  0x938, 0x8056, 0x932, 0x8055, 0x92b, 0x8055, 0x925, 0x8054,
+  0x91f, 0x8054, 0x919, 0x8053, 0x912, 0x8053, 0x90c, 0x8052,
+  0x906, 0x8052, 0x900, 0x8052, 0x8f9, 0x8051, 0x8f3, 0x8051,
+  0x8ed, 0x8050, 0x8e6, 0x8050, 0x8e0, 0x804f, 0x8da, 0x804f,
+  0x8d4, 0x804f, 0x8cd, 0x804e, 0x8c7, 0x804e, 0x8c1, 0x804d,
+  0x8bb, 0x804d, 0x8b4, 0x804c, 0x8ae, 0x804c, 0x8a8, 0x804c,
+  0x8a2, 0x804b, 0x89b, 0x804b, 0x895, 0x804a, 0x88f, 0x804a,
+  0x888, 0x8049, 0x882, 0x8049, 0x87c, 0x8049, 0x876, 0x8048,
+  0x86f, 0x8048, 0x869, 0x8047, 0x863, 0x8047, 0x85d, 0x8047,
+  0x856, 0x8046, 0x850, 0x8046, 0x84a, 0x8045, 0x843, 0x8045,
+  0x83d, 0x8044, 0x837, 0x8044, 0x831, 0x8044, 0x82a, 0x8043,
+  0x824, 0x8043, 0x81e, 0x8042, 0x818, 0x8042, 0x811, 0x8042,
+  0x80b, 0x8041, 0x805, 0x8041, 0x7fe, 0x8040, 0x7f8, 0x8040,
+  0x7f2, 0x8040, 0x7ec, 0x803f, 0x7e5, 0x803f, 0x7df, 0x803f,
+  0x7d9, 0x803e, 0x7d3, 0x803e, 0x7cc, 0x803d, 0x7c6, 0x803d,
+  0x7c0, 0x803d, 0x7ba, 0x803c, 0x7b3, 0x803c, 0x7ad, 0x803b,
+  0x7a7, 0x803b, 0x7a0, 0x803b, 0x79a, 0x803a, 0x794, 0x803a,
+  0x78e, 0x803a, 0x787, 0x8039, 0x781, 0x8039, 0x77b, 0x8039,
+  0x775, 0x8038, 0x76e, 0x8038, 0x768, 0x8037, 0x762, 0x8037,
+  0x75b, 0x8037, 0x755, 0x8036, 0x74f, 0x8036, 0x749, 0x8036,
+  0x742, 0x8035, 0x73c, 0x8035, 0x736, 0x8035, 0x730, 0x8034,
+  0x729, 0x8034, 0x723, 0x8033, 0x71d, 0x8033, 0x716, 0x8033,
+  0x710, 0x8032, 0x70a, 0x8032, 0x704, 0x8032, 0x6fd, 0x8031,
+  0x6f7, 0x8031, 0x6f1, 0x8031, 0x6ea, 0x8030, 0x6e4, 0x8030,
+  0x6de, 0x8030, 0x6d8, 0x802f, 0x6d1, 0x802f, 0x6cb, 0x802f,
+  0x6c5, 0x802e, 0x6bf, 0x802e, 0x6b8, 0x802e, 0x6b2, 0x802d,
+  0x6ac, 0x802d, 0x6a5, 0x802d, 0x69f, 0x802c, 0x699, 0x802c,
+  0x693, 0x802c, 0x68c, 0x802b, 0x686, 0x802b, 0x680, 0x802b,
+  0x67a, 0x802a, 0x673, 0x802a, 0x66d, 0x802a, 0x667, 0x802a,
+  0x660, 0x8029, 0x65a, 0x8029, 0x654, 0x8029, 0x64e, 0x8028,
+  0x647, 0x8028, 0x641, 0x8028, 0x63b, 0x8027, 0x635, 0x8027,
+  0x62e, 0x8027, 0x628, 0x8026, 0x622, 0x8026, 0x61b, 0x8026,
+  0x615, 0x8026, 0x60f, 0x8025, 0x609, 0x8025, 0x602, 0x8025,
+  0x5fc, 0x8024, 0x5f6, 0x8024, 0x5ef, 0x8024, 0x5e9, 0x8023,
+  0x5e3, 0x8023, 0x5dd, 0x8023, 0x5d6, 0x8023, 0x5d0, 0x8022,
+  0x5ca, 0x8022, 0x5c4, 0x8022, 0x5bd, 0x8021, 0x5b7, 0x8021,
+  0x5b1, 0x8021, 0x5aa, 0x8021, 0x5a4, 0x8020, 0x59e, 0x8020,
+  0x598, 0x8020, 0x591, 0x8020, 0x58b, 0x801f, 0x585, 0x801f,
+  0x57f, 0x801f, 0x578, 0x801e, 0x572, 0x801e, 0x56c, 0x801e,
+  0x565, 0x801e, 0x55f, 0x801d, 0x559, 0x801d, 0x553, 0x801d,
+  0x54c, 0x801d, 0x546, 0x801c, 0x540, 0x801c, 0x539, 0x801c,
+  0x533, 0x801c, 0x52d, 0x801b, 0x527, 0x801b, 0x520, 0x801b,
+  0x51a, 0x801b, 0x514, 0x801a, 0x50d, 0x801a, 0x507, 0x801a,
+  0x501, 0x801a, 0x4fb, 0x8019, 0x4f4, 0x8019, 0x4ee, 0x8019,
+  0x4e8, 0x8019, 0x4e2, 0x8018, 0x4db, 0x8018, 0x4d5, 0x8018,
+  0x4cf, 0x8018, 0x4c8, 0x8017, 0x4c2, 0x8017, 0x4bc, 0x8017,
+  0x4b6, 0x8017, 0x4af, 0x8016, 0x4a9, 0x8016, 0x4a3, 0x8016,
+  0x49c, 0x8016, 0x496, 0x8016, 0x490, 0x8015, 0x48a, 0x8015,
+  0x483, 0x8015, 0x47d, 0x8015, 0x477, 0x8014, 0x471, 0x8014,
+  0x46a, 0x8014, 0x464, 0x8014, 0x45e, 0x8014, 0x457, 0x8013,
+  0x451, 0x8013, 0x44b, 0x8013, 0x445, 0x8013, 0x43e, 0x8013,
+  0x438, 0x8012, 0x432, 0x8012, 0x42b, 0x8012, 0x425, 0x8012,
+  0x41f, 0x8012, 0x419, 0x8011, 0x412, 0x8011, 0x40c, 0x8011,
+  0x406, 0x8011, 0x3ff, 0x8011, 0x3f9, 0x8010, 0x3f3, 0x8010,
+  0x3ed, 0x8010, 0x3e6, 0x8010, 0x3e0, 0x8010, 0x3da, 0x800f,
+  0x3d4, 0x800f, 0x3cd, 0x800f, 0x3c7, 0x800f, 0x3c1, 0x800f,
+  0x3ba, 0x800e, 0x3b4, 0x800e, 0x3ae, 0x800e, 0x3a8, 0x800e,
+  0x3a1, 0x800e, 0x39b, 0x800e, 0x395, 0x800d, 0x38e, 0x800d,
+  0x388, 0x800d, 0x382, 0x800d, 0x37c, 0x800d, 0x375, 0x800c,
+  0x36f, 0x800c, 0x369, 0x800c, 0x362, 0x800c, 0x35c, 0x800c,
+  0x356, 0x800c, 0x350, 0x800b, 0x349, 0x800b, 0x343, 0x800b,
+  0x33d, 0x800b, 0x337, 0x800b, 0x330, 0x800b, 0x32a, 0x800b,
+  0x324, 0x800a, 0x31d, 0x800a, 0x317, 0x800a, 0x311, 0x800a,
+  0x30b, 0x800a, 0x304, 0x800a, 0x2fe, 0x8009, 0x2f8, 0x8009,
+  0x2f1, 0x8009, 0x2eb, 0x8009, 0x2e5, 0x8009, 0x2df, 0x8009,
+  0x2d8, 0x8009, 0x2d2, 0x8008, 0x2cc, 0x8008, 0x2c5, 0x8008,
+  0x2bf, 0x8008, 0x2b9, 0x8008, 0x2b3, 0x8008, 0x2ac, 0x8008,
+  0x2a6, 0x8008, 0x2a0, 0x8007, 0x299, 0x8007, 0x293, 0x8007,
+  0x28d, 0x8007, 0x287, 0x8007, 0x280, 0x8007, 0x27a, 0x8007,
+  0x274, 0x8007, 0x26d, 0x8006, 0x267, 0x8006, 0x261, 0x8006,
+  0x25b, 0x8006, 0x254, 0x8006, 0x24e, 0x8006, 0x248, 0x8006,
+  0x242, 0x8006, 0x23b, 0x8005, 0x235, 0x8005, 0x22f, 0x8005,
+  0x228, 0x8005, 0x222, 0x8005, 0x21c, 0x8005, 0x216, 0x8005,
+  0x20f, 0x8005, 0x209, 0x8005, 0x203, 0x8005, 0x1fc, 0x8004,
+  0x1f6, 0x8004, 0x1f0, 0x8004, 0x1ea, 0x8004, 0x1e3, 0x8004,
+  0x1dd, 0x8004, 0x1d7, 0x8004, 0x1d0, 0x8004, 0x1ca, 0x8004,
+  0x1c4, 0x8004, 0x1be, 0x8004, 0x1b7, 0x8003, 0x1b1, 0x8003,
+  0x1ab, 0x8003, 0x1a4, 0x8003, 0x19e, 0x8003, 0x198, 0x8003,
+  0x192, 0x8003, 0x18b, 0x8003, 0x185, 0x8003, 0x17f, 0x8003,
+  0x178, 0x8003, 0x172, 0x8003, 0x16c, 0x8003, 0x166, 0x8002,
+  0x15f, 0x8002, 0x159, 0x8002, 0x153, 0x8002, 0x14d, 0x8002,
+  0x146, 0x8002, 0x140, 0x8002, 0x13a, 0x8002, 0x133, 0x8002,
+  0x12d, 0x8002, 0x127, 0x8002, 0x121, 0x8002, 0x11a, 0x8002,
+  0x114, 0x8002, 0x10e, 0x8002, 0x107, 0x8002, 0x101, 0x8002,
+  0xfb, 0x8001, 0xf5, 0x8001, 0xee, 0x8001, 0xe8, 0x8001,
+  0xe2, 0x8001, 0xdb, 0x8001, 0xd5, 0x8001, 0xcf, 0x8001,
+  0xc9, 0x8001, 0xc2, 0x8001, 0xbc, 0x8001, 0xb6, 0x8001,
+  0xaf, 0x8001, 0xa9, 0x8001, 0xa3, 0x8001, 0x9d, 0x8001,
+  0x96, 0x8001, 0x90, 0x8001, 0x8a, 0x8001, 0x83, 0x8001,
+  0x7d, 0x8001, 0x77, 0x8001, 0x71, 0x8001, 0x6a, 0x8001,
+  0x64, 0x8001, 0x5e, 0x8001, 0x57, 0x8001, 0x51, 0x8001,
+  0x4b, 0x8001, 0x45, 0x8001, 0x3e, 0x8001, 0x38, 0x8001,
+  0x32, 0x8001, 0x2b, 0x8001, 0x25, 0x8001, 0x1f, 0x8001,
+  0x19, 0x8001, 0x12, 0x8001, 0xc, 0x8001, 0x6, 0x8001,
+};
+
+
+/**    
+* \par    
+* cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre>    
+* \par    
+* C command to generate the table    
+* <pre>    
+* for(i = 0; i< N; i++)    
+* {    
+*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+* } </pre>    
+* \par    
+* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>    
+* \par    
+* Then converted to q15 format by multiplying with 2^31 and saturated if required.    
+    
+*/
+
+static const q15_t ALIGN4 cos_factorsQ15_128[128] = {
+  0x7fff, 0x7ffa, 0x7ff0, 0x7fe1, 0x7fce, 0x7fb5, 0x7f97, 0x7f75,
+  0x7f4d, 0x7f21, 0x7ef0, 0x7eba, 0x7e7f, 0x7e3f, 0x7dfa, 0x7db0,
+  0x7d62, 0x7d0f, 0x7cb7, 0x7c5a, 0x7bf8, 0x7b92, 0x7b26, 0x7ab6,
+  0x7a42, 0x79c8, 0x794a, 0x78c7, 0x7840, 0x77b4, 0x7723, 0x768e,
+  0x75f4, 0x7555, 0x74b2, 0x740b, 0x735f, 0x72af, 0x71fa, 0x7141,
+  0x7083, 0x6fc1, 0x6efb, 0x6e30, 0x6d62, 0x6c8f, 0x6bb8, 0x6adc,
+  0x69fd, 0x6919, 0x6832, 0x6746, 0x6657, 0x6563, 0x646c, 0x6371,
+  0x6271, 0x616f, 0x6068, 0x5f5e, 0x5e50, 0x5d3e, 0x5c29, 0x5b10,
+  0x59f3, 0x58d4, 0x57b0, 0x568a, 0x5560, 0x5433, 0x5302, 0x51ce,
+  0x5097, 0x4f5e, 0x4e21, 0x4ce1, 0x4b9e, 0x4a58, 0x490f, 0x47c3,
+  0x4675, 0x4524, 0x43d0, 0x427a, 0x4121, 0x3fc5, 0x3e68, 0x3d07,
+  0x3ba5, 0x3a40, 0x38d8, 0x376f, 0x3604, 0x3496, 0x3326, 0x31b5,
+  0x3041, 0x2ecc, 0x2d55, 0x2bdc, 0x2a61, 0x28e5, 0x2767, 0x25e8,
+  0x2467, 0x22e5, 0x2161, 0x1fdc, 0x1e56, 0x1ccf, 0x1b47, 0x19bd,
+  0x1833, 0x16a8, 0x151b, 0x138e, 0x1201, 0x1072, 0xee3, 0xd53,
+  0xbc3, 0xa33, 0x8a2, 0x710, 0x57f, 0x3ed, 0x25b, 0xc9
+};
+
+static const q15_t ALIGN4 cos_factorsQ15_512[512] = {
+  0x7fff, 0x7fff, 0x7fff, 0x7ffe, 0x7ffc, 0x7ffb, 0x7ff9, 0x7ff7,
+  0x7ff4, 0x7ff2, 0x7fee, 0x7feb, 0x7fe7, 0x7fe3, 0x7fdf, 0x7fda,
+  0x7fd6, 0x7fd0, 0x7fcb, 0x7fc5, 0x7fbf, 0x7fb8, 0x7fb1, 0x7faa,
+  0x7fa3, 0x7f9b, 0x7f93, 0x7f8b, 0x7f82, 0x7f79, 0x7f70, 0x7f67,
+  0x7f5d, 0x7f53, 0x7f48, 0x7f3d, 0x7f32, 0x7f27, 0x7f1b, 0x7f0f,
+  0x7f03, 0x7ef6, 0x7ee9, 0x7edc, 0x7ecf, 0x7ec1, 0x7eb3, 0x7ea4,
+  0x7e95, 0x7e86, 0x7e77, 0x7e67, 0x7e57, 0x7e47, 0x7e37, 0x7e26,
+  0x7e14, 0x7e03, 0x7df1, 0x7ddf, 0x7dcd, 0x7dba, 0x7da7, 0x7d94,
+  0x7d80, 0x7d6c, 0x7d58, 0x7d43, 0x7d2f, 0x7d19, 0x7d04, 0x7cee,
+  0x7cd8, 0x7cc2, 0x7cab, 0x7c94, 0x7c7d, 0x7c66, 0x7c4e, 0x7c36,
+  0x7c1d, 0x7c05, 0x7beb, 0x7bd2, 0x7bb9, 0x7b9f, 0x7b84, 0x7b6a,
+  0x7b4f, 0x7b34, 0x7b19, 0x7afd, 0x7ae1, 0x7ac5, 0x7aa8, 0x7a8b,
+  0x7a6e, 0x7a50, 0x7a33, 0x7a15, 0x79f6, 0x79d8, 0x79b9, 0x7999,
+  0x797a, 0x795a, 0x793a, 0x7919, 0x78f9, 0x78d8, 0x78b6, 0x7895,
+  0x7873, 0x7851, 0x782e, 0x780c, 0x77e9, 0x77c5, 0x77a2, 0x777e,
+  0x775a, 0x7735, 0x7710, 0x76eb, 0x76c6, 0x76a0, 0x767b, 0x7654,
+  0x762e, 0x7607, 0x75e0, 0x75b9, 0x7591, 0x7569, 0x7541, 0x7519,
+  0x74f0, 0x74c7, 0x749e, 0x7474, 0x744a, 0x7420, 0x73f6, 0x73cb,
+  0x73a0, 0x7375, 0x7349, 0x731d, 0x72f1, 0x72c5, 0x7298, 0x726b,
+  0x723e, 0x7211, 0x71e3, 0x71b5, 0x7186, 0x7158, 0x7129, 0x70fa,
+  0x70cb, 0x709b, 0x706b, 0x703b, 0x700a, 0x6fda, 0x6fa9, 0x6f77,
+  0x6f46, 0x6f14, 0x6ee2, 0x6eaf, 0x6e7d, 0x6e4a, 0x6e17, 0x6de3,
+  0x6db0, 0x6d7c, 0x6d48, 0x6d13, 0x6cde, 0x6ca9, 0x6c74, 0x6c3f,
+  0x6c09, 0x6bd3, 0x6b9c, 0x6b66, 0x6b2f, 0x6af8, 0x6ac1, 0x6a89,
+  0x6a51, 0x6a19, 0x69e1, 0x69a8, 0x696f, 0x6936, 0x68fd, 0x68c3,
+  0x6889, 0x684f, 0x6815, 0x67da, 0x679f, 0x6764, 0x6729, 0x66ed,
+  0x66b1, 0x6675, 0x6639, 0x65fc, 0x65bf, 0x6582, 0x6545, 0x6507,
+  0x64c9, 0x648b, 0x644d, 0x640e, 0x63cf, 0x6390, 0x6351, 0x6311,
+  0x62d2, 0x6292, 0x6251, 0x6211, 0x61d0, 0x618f, 0x614e, 0x610d,
+  0x60cb, 0x6089, 0x6047, 0x6004, 0x5fc2, 0x5f7f, 0x5f3c, 0x5ef9,
+  0x5eb5, 0x5e71, 0x5e2d, 0x5de9, 0x5da5, 0x5d60, 0x5d1b, 0x5cd6,
+  0x5c91, 0x5c4b, 0x5c06, 0x5bc0, 0x5b79, 0x5b33, 0x5aec, 0x5aa5,
+  0x5a5e, 0x5a17, 0x59d0, 0x5988, 0x5940, 0x58f8, 0x58af, 0x5867,
+  0x581e, 0x57d5, 0x578c, 0x5742, 0x56f9, 0x56af, 0x5665, 0x561a,
+  0x55d0, 0x5585, 0x553a, 0x54ef, 0x54a4, 0x5458, 0x540d, 0x53c1,
+  0x5375, 0x5328, 0x52dc, 0x528f, 0x5242, 0x51f5, 0x51a8, 0x515a,
+  0x510c, 0x50bf, 0x5070, 0x5022, 0x4fd4, 0x4f85, 0x4f36, 0x4ee7,
+  0x4e98, 0x4e48, 0x4df9, 0x4da9, 0x4d59, 0x4d09, 0x4cb8, 0x4c68,
+  0x4c17, 0x4bc6, 0x4b75, 0x4b24, 0x4ad2, 0x4a81, 0x4a2f, 0x49dd,
+  0x498a, 0x4938, 0x48e6, 0x4893, 0x4840, 0x47ed, 0x479a, 0x4746,
+  0x46f3, 0x469f, 0x464b, 0x45f7, 0x45a3, 0x454e, 0x44fa, 0x44a5,
+  0x4450, 0x43fb, 0x43a5, 0x4350, 0x42fa, 0x42a5, 0x424f, 0x41f9,
+  0x41a2, 0x414c, 0x40f6, 0x409f, 0x4048, 0x3ff1, 0x3f9a, 0x3f43,
+  0x3eeb, 0x3e93, 0x3e3c, 0x3de4, 0x3d8c, 0x3d33, 0x3cdb, 0x3c83,
+  0x3c2a, 0x3bd1, 0x3b78, 0x3b1f, 0x3ac6, 0x3a6c, 0x3a13, 0x39b9,
+  0x395f, 0x3906, 0x38ab, 0x3851, 0x37f7, 0x379c, 0x3742, 0x36e7,
+  0x368c, 0x3631, 0x35d6, 0x357b, 0x351f, 0x34c4, 0x3468, 0x340c,
+  0x33b0, 0x3354, 0x32f8, 0x329c, 0x3240, 0x31e3, 0x3186, 0x312a,
+  0x30cd, 0x3070, 0x3013, 0x2fb5, 0x2f58, 0x2efb, 0x2e9d, 0x2e3f,
+  0x2de2, 0x2d84, 0x2d26, 0x2cc8, 0x2c69, 0x2c0b, 0x2bad, 0x2b4e,
+  0x2aef, 0x2a91, 0x2a32, 0x29d3, 0x2974, 0x2915, 0x28b5, 0x2856,
+  0x27f6, 0x2797, 0x2737, 0x26d8, 0x2678, 0x2618, 0x25b8, 0x2558,
+  0x24f7, 0x2497, 0x2437, 0x23d6, 0x2376, 0x2315, 0x22b4, 0x2254,
+  0x21f3, 0x2192, 0x2131, 0x20d0, 0x206e, 0x200d, 0x1fac, 0x1f4a,
+  0x1ee9, 0x1e87, 0x1e25, 0x1dc4, 0x1d62, 0x1d00, 0x1c9e, 0x1c3c,
+  0x1bda, 0x1b78, 0x1b16, 0x1ab3, 0x1a51, 0x19ef, 0x198c, 0x192a,
+  0x18c7, 0x1864, 0x1802, 0x179f, 0x173c, 0x16d9, 0x1676, 0x1613,
+  0x15b0, 0x154d, 0x14ea, 0x1487, 0x1423, 0x13c0, 0x135d, 0x12f9,
+  0x1296, 0x1232, 0x11cf, 0x116b, 0x1108, 0x10a4, 0x1040, 0xfdd,
+  0xf79, 0xf15, 0xeb1, 0xe4d, 0xde9, 0xd85, 0xd21, 0xcbd,
+  0xc59, 0xbf5, 0xb91, 0xb2d, 0xac9, 0xa65, 0xa00, 0x99c,
+  0x938, 0x8d4, 0x86f, 0x80b, 0x7a7, 0x742, 0x6de, 0x67a,
+  0x615, 0x5b1, 0x54c, 0x4e8, 0x483, 0x41f, 0x3ba, 0x356,
+  0x2f1, 0x28d, 0x228, 0x1c4, 0x15f, 0xfb, 0x96, 0x32,
+};
+
+static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = {
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd,
+  0x7ffd, 0x7ffd, 0x7ffc, 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa,
+  0x7ffa, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff6,
+  0x7ff5, 0x7ff5, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff1, 0x7ff0,
+  0x7ff0, 0x7fef, 0x7fee, 0x7fed, 0x7fec, 0x7fec, 0x7feb, 0x7fea,
+  0x7fe9, 0x7fe8, 0x7fe7, 0x7fe6, 0x7fe5, 0x7fe4, 0x7fe3, 0x7fe2,
+  0x7fe1, 0x7fe0, 0x7fdf, 0x7fdd, 0x7fdc, 0x7fdb, 0x7fda, 0x7fd9,
+  0x7fd7, 0x7fd6, 0x7fd5, 0x7fd4, 0x7fd2, 0x7fd1, 0x7fd0, 0x7fce,
+  0x7fcd, 0x7fcb, 0x7fca, 0x7fc9, 0x7fc7, 0x7fc6, 0x7fc4, 0x7fc3,
+  0x7fc1, 0x7fc0, 0x7fbe, 0x7fbc, 0x7fbb, 0x7fb9, 0x7fb7, 0x7fb6,
+  0x7fb4, 0x7fb2, 0x7fb1, 0x7faf, 0x7fad, 0x7fab, 0x7fa9, 0x7fa8,
+  0x7fa6, 0x7fa4, 0x7fa2, 0x7fa0, 0x7f9e, 0x7f9c, 0x7f9a, 0x7f98,
+  0x7f96, 0x7f94, 0x7f92, 0x7f90, 0x7f8e, 0x7f8c, 0x7f8a, 0x7f88,
+  0x7f86, 0x7f83, 0x7f81, 0x7f7f, 0x7f7d, 0x7f7b, 0x7f78, 0x7f76,
+  0x7f74, 0x7f71, 0x7f6f, 0x7f6d, 0x7f6a, 0x7f68, 0x7f65, 0x7f63,
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+  0x49a9, 0x4995, 0x4980, 0x496c, 0x4957, 0x4942, 0x492e, 0x4919,
+  0x4905, 0x48f0, 0x48db, 0x48c7, 0x48b2, 0x489d, 0x4888, 0x4874,
+  0x485f, 0x484a, 0x4836, 0x4821, 0x480c, 0x47f7, 0x47e2, 0x47ce,
+  0x47b9, 0x47a4, 0x478f, 0x477a, 0x4765, 0x4751, 0x473c, 0x4727,
+  0x4712, 0x46fd, 0x46e8, 0x46d3, 0x46be, 0x46a9, 0x4694, 0x467f,
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+  0x45c2, 0x45ad, 0x4598, 0x4583, 0x456e, 0x4559, 0x4544, 0x452e,
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+  0x43c5, 0x43b0, 0x439b, 0x4385, 0x4370, 0x435b, 0x4345, 0x4330,
+  0x431b, 0x4305, 0x42f0, 0x42da, 0x42c5, 0x42af, 0x429a, 0x4284,
+  0x426f, 0x425a, 0x4244, 0x422f, 0x4219, 0x4203, 0x41ee, 0x41d8,
+  0x41c3, 0x41ad, 0x4198, 0x4182, 0x416d, 0x4157, 0x4141, 0x412c,
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+  0x3e5d, 0x3e47, 0x3e31, 0x3e1b, 0x3e05, 0x3def, 0x3dd9, 0x3dc3,
+  0x3dad, 0x3d97, 0x3d81, 0x3d6b, 0x3d55, 0x3d3e, 0x3d28, 0x3d12,
+  0x3cfc, 0x3ce6, 0x3cd0, 0x3cba, 0x3ca4, 0x3c8e, 0x3c77, 0x3c61,
+  0x3c4b, 0x3c35, 0x3c1f, 0x3c09, 0x3bf2, 0x3bdc, 0x3bc6, 0x3bb0,
+  0x3b99, 0x3b83, 0x3b6d, 0x3b57, 0x3b40, 0x3b2a, 0x3b14, 0x3afe,
+  0x3ae7, 0x3ad1, 0x3abb, 0x3aa4, 0x3a8e, 0x3a78, 0x3a61, 0x3a4b,
+  0x3a34, 0x3a1e, 0x3a08, 0x39f1, 0x39db, 0x39c4, 0x39ae, 0x3998,
+  0x3981, 0x396b, 0x3954, 0x393e, 0x3927, 0x3911, 0x38fa, 0x38e4,
+  0x38cd, 0x38b7, 0x38a0, 0x388a, 0x3873, 0x385d, 0x3846, 0x382f,
+  0x3819, 0x3802, 0x37ec, 0x37d5, 0x37be, 0x37a8, 0x3791, 0x377a,
+  0x3764, 0x374d, 0x3736, 0x3720, 0x3709, 0x36f2, 0x36dc, 0x36c5,
+  0x36ae, 0x3698, 0x3681, 0x366a, 0x3653, 0x363d, 0x3626, 0x360f,
+  0x35f8, 0x35e1, 0x35cb, 0x35b4, 0x359d, 0x3586, 0x356f, 0x3558,
+  0x3542, 0x352b, 0x3514, 0x34fd, 0x34e6, 0x34cf, 0x34b8, 0x34a1,
+  0x348b, 0x3474, 0x345d, 0x3446, 0x342f, 0x3418, 0x3401, 0x33ea,
+  0x33d3, 0x33bc, 0x33a5, 0x338e, 0x3377, 0x3360, 0x3349, 0x3332,
+  0x331b, 0x3304, 0x32ed, 0x32d6, 0x32bf, 0x32a8, 0x3290, 0x3279,
+  0x3262, 0x324b, 0x3234, 0x321d, 0x3206, 0x31ef, 0x31d8, 0x31c0,
+  0x31a9, 0x3192, 0x317b, 0x3164, 0x314c, 0x3135, 0x311e, 0x3107,
+  0x30f0, 0x30d8, 0x30c1, 0x30aa, 0x3093, 0x307b, 0x3064, 0x304d,
+  0x3036, 0x301e, 0x3007, 0x2ff0, 0x2fd8, 0x2fc1, 0x2faa, 0x2f92,
+  0x2f7b, 0x2f64, 0x2f4c, 0x2f35, 0x2f1e, 0x2f06, 0x2eef, 0x2ed8,
+  0x2ec0, 0x2ea9, 0x2e91, 0x2e7a, 0x2e63, 0x2e4b, 0x2e34, 0x2e1c,
+  0x2e05, 0x2ded, 0x2dd6, 0x2dbe, 0x2da7, 0x2d8f, 0x2d78, 0x2d60,
+  0x2d49, 0x2d31, 0x2d1a, 0x2d02, 0x2ceb, 0x2cd3, 0x2cbc, 0x2ca4,
+  0x2c8d, 0x2c75, 0x2c5e, 0x2c46, 0x2c2e, 0x2c17, 0x2bff, 0x2be8,
+  0x2bd0, 0x2bb8, 0x2ba1, 0x2b89, 0x2b71, 0x2b5a, 0x2b42, 0x2b2b,
+  0x2b13, 0x2afb, 0x2ae4, 0x2acc, 0x2ab4, 0x2a9c, 0x2a85, 0x2a6d,
+  0x2a55, 0x2a3e, 0x2a26, 0x2a0e, 0x29f6, 0x29df, 0x29c7, 0x29af,
+  0x2997, 0x2980, 0x2968, 0x2950, 0x2938, 0x2920, 0x2909, 0x28f1,
+  0x28d9, 0x28c1, 0x28a9, 0x2892, 0x287a, 0x2862, 0x284a, 0x2832,
+  0x281a, 0x2802, 0x27eb, 0x27d3, 0x27bb, 0x27a3, 0x278b, 0x2773,
+  0x275b, 0x2743, 0x272b, 0x2713, 0x26fb, 0x26e4, 0x26cc, 0x26b4,
+  0x269c, 0x2684, 0x266c, 0x2654, 0x263c, 0x2624, 0x260c, 0x25f4,
+  0x25dc, 0x25c4, 0x25ac, 0x2594, 0x257c, 0x2564, 0x254c, 0x2534,
+  0x251c, 0x2503, 0x24eb, 0x24d3, 0x24bb, 0x24a3, 0x248b, 0x2473,
+  0x245b, 0x2443, 0x242b, 0x2413, 0x23fa, 0x23e2, 0x23ca, 0x23b2,
+  0x239a, 0x2382, 0x236a, 0x2352, 0x2339, 0x2321, 0x2309, 0x22f1,
+  0x22d9, 0x22c0, 0x22a8, 0x2290, 0x2278, 0x2260, 0x2247, 0x222f,
+  0x2217, 0x21ff, 0x21e7, 0x21ce, 0x21b6, 0x219e, 0x2186, 0x216d,
+  0x2155, 0x213d, 0x2125, 0x210c, 0x20f4, 0x20dc, 0x20c3, 0x20ab,
+  0x2093, 0x207a, 0x2062, 0x204a, 0x2032, 0x2019, 0x2001, 0x1fe9,
+  0x1fd0, 0x1fb8, 0x1f9f, 0x1f87, 0x1f6f, 0x1f56, 0x1f3e, 0x1f26,
+  0x1f0d, 0x1ef5, 0x1edd, 0x1ec4, 0x1eac, 0x1e93, 0x1e7b, 0x1e62,
+  0x1e4a, 0x1e32, 0x1e19, 0x1e01, 0x1de8, 0x1dd0, 0x1db7, 0x1d9f,
+  0x1d87, 0x1d6e, 0x1d56, 0x1d3d, 0x1d25, 0x1d0c, 0x1cf4, 0x1cdb,
+  0x1cc3, 0x1caa, 0x1c92, 0x1c79, 0x1c61, 0x1c48, 0x1c30, 0x1c17,
+  0x1bff, 0x1be6, 0x1bce, 0x1bb5, 0x1b9d, 0x1b84, 0x1b6c, 0x1b53,
+  0x1b3a, 0x1b22, 0x1b09, 0x1af1, 0x1ad8, 0x1ac0, 0x1aa7, 0x1a8e,
+  0x1a76, 0x1a5d, 0x1a45, 0x1a2c, 0x1a13, 0x19fb, 0x19e2, 0x19ca,
+  0x19b1, 0x1998, 0x1980, 0x1967, 0x194e, 0x1936, 0x191d, 0x1905,
+  0x18ec, 0x18d3, 0x18bb, 0x18a2, 0x1889, 0x1871, 0x1858, 0x183f,
+  0x1827, 0x180e, 0x17f5, 0x17dd, 0x17c4, 0x17ab, 0x1792, 0x177a,
+  0x1761, 0x1748, 0x1730, 0x1717, 0x16fe, 0x16e5, 0x16cd, 0x16b4,
+  0x169b, 0x1682, 0x166a, 0x1651, 0x1638, 0x161f, 0x1607, 0x15ee,
+  0x15d5, 0x15bc, 0x15a4, 0x158b, 0x1572, 0x1559, 0x1541, 0x1528,
+  0x150f, 0x14f6, 0x14dd, 0x14c5, 0x14ac, 0x1493, 0x147a, 0x1461,
+  0x1449, 0x1430, 0x1417, 0x13fe, 0x13e5, 0x13cc, 0x13b4, 0x139b,
+  0x1382, 0x1369, 0x1350, 0x1337, 0x131f, 0x1306, 0x12ed, 0x12d4,
+  0x12bb, 0x12a2, 0x1289, 0x1271, 0x1258, 0x123f, 0x1226, 0x120d,
+  0x11f4, 0x11db, 0x11c2, 0x11a9, 0x1191, 0x1178, 0x115f, 0x1146,
+  0x112d, 0x1114, 0x10fb, 0x10e2, 0x10c9, 0x10b0, 0x1098, 0x107f,
+  0x1066, 0x104d, 0x1034, 0x101b, 0x1002, 0xfe9, 0xfd0, 0xfb7,
+  0xf9e, 0xf85, 0xf6c, 0xf53, 0xf3a, 0xf21, 0xf08, 0xef0,
+  0xed7, 0xebe, 0xea5, 0xe8c, 0xe73, 0xe5a, 0xe41, 0xe28,
+  0xe0f, 0xdf6, 0xddd, 0xdc4, 0xdab, 0xd92, 0xd79, 0xd60,
+  0xd47, 0xd2e, 0xd15, 0xcfc, 0xce3, 0xcca, 0xcb1, 0xc98,
+  0xc7f, 0xc66, 0xc4d, 0xc34, 0xc1b, 0xc02, 0xbe9, 0xbd0,
+  0xbb7, 0xb9e, 0xb85, 0xb6c, 0xb53, 0xb3a, 0xb20, 0xb07,
+  0xaee, 0xad5, 0xabc, 0xaa3, 0xa8a, 0xa71, 0xa58, 0xa3f,
+  0xa26, 0xa0d, 0x9f4, 0x9db, 0x9c2, 0x9a9, 0x990, 0x977,
+  0x95e, 0x944, 0x92b, 0x912, 0x8f9, 0x8e0, 0x8c7, 0x8ae,
+  0x895, 0x87c, 0x863, 0x84a, 0x831, 0x818, 0x7fe, 0x7e5,
+  0x7cc, 0x7b3, 0x79a, 0x781, 0x768, 0x74f, 0x736, 0x71d,
+  0x704, 0x6ea, 0x6d1, 0x6b8, 0x69f, 0x686, 0x66d, 0x654,
+  0x63b, 0x622, 0x609, 0x5ef, 0x5d6, 0x5bd, 0x5a4, 0x58b,
+  0x572, 0x559, 0x540, 0x527, 0x50d, 0x4f4, 0x4db, 0x4c2,
+  0x4a9, 0x490, 0x477, 0x45e, 0x445, 0x42b, 0x412, 0x3f9,
+  0x3e0, 0x3c7, 0x3ae, 0x395, 0x37c, 0x362, 0x349, 0x330,
+  0x317, 0x2fe, 0x2e5, 0x2cc, 0x2b3, 0x299, 0x280, 0x267,
+  0x24e, 0x235, 0x21c, 0x203, 0x1ea, 0x1d0, 0x1b7, 0x19e,
+  0x185, 0x16c, 0x153, 0x13a, 0x121, 0x107, 0xee, 0xd5,
+  0xbc, 0xa3, 0x8a, 0x71, 0x57, 0x3e, 0x25, 0xc,
+
+};
+
+static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = {
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
+  0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
+  0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
+  0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd,
+  0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffc,
+  0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc,
+  0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb,
+  0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa,
+  0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9,
+  0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff8,
+  0x7ff8, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7,
+  0x7ff7, 0x7ff7, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6,
+  0x7ff6, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff4,
+  0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff3,
+  0x7ff3, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2,
+  0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff0, 0x7ff0,
+  0x7ff0, 0x7ff0, 0x7ff0, 0x7fef, 0x7fef, 0x7fef, 0x7fef, 0x7fef,
+  0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fed, 0x7fed, 0x7fed,
+  0x7fed, 0x7fed, 0x7fec, 0x7fec, 0x7fec, 0x7fec, 0x7feb, 0x7feb,
+  0x7feb, 0x7feb, 0x7feb, 0x7fea, 0x7fea, 0x7fea, 0x7fea, 0x7fe9,
+  0x7fe9, 0x7fe9, 0x7fe9, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8,
+  0x7fe7, 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe6, 0x7fe6, 0x7fe6, 0x7fe6,
+  0x7fe5, 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe4, 0x7fe4, 0x7fe4, 0x7fe4,
+  0x7fe3, 0x7fe3, 0x7fe3, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe1,
+  0x7fe1, 0x7fe1, 0x7fe1, 0x7fe0, 0x7fe0, 0x7fe0, 0x7fdf, 0x7fdf,
+  0x7fdf, 0x7fdf, 0x7fde, 0x7fde, 0x7fde, 0x7fde, 0x7fdd, 0x7fdd,
+  0x7fdd, 0x7fdc, 0x7fdc, 0x7fdc, 0x7fdb, 0x7fdb, 0x7fdb, 0x7fdb,
+  0x7fda, 0x7fda, 0x7fda, 0x7fd9, 0x7fd9, 0x7fd9, 0x7fd8, 0x7fd8,
+  0x7fd8, 0x7fd8, 0x7fd7, 0x7fd7, 0x7fd7, 0x7fd6, 0x7fd6, 0x7fd6,
+  0x7fd5, 0x7fd5, 0x7fd5, 0x7fd4, 0x7fd4, 0x7fd4, 0x7fd3, 0x7fd3,
+  0x7fd3, 0x7fd2, 0x7fd2, 0x7fd2, 0x7fd1, 0x7fd1, 0x7fd1, 0x7fd0,
+  0x7fd0, 0x7fd0, 0x7fcf, 0x7fcf, 0x7fcf, 0x7fce, 0x7fce, 0x7fce,
+  0x7fcd, 0x7fcd, 0x7fcd, 0x7fcc, 0x7fcc, 0x7fcc, 0x7fcb, 0x7fcb,
+  0x7fcb, 0x7fca, 0x7fca, 0x7fc9, 0x7fc9, 0x7fc9, 0x7fc8, 0x7fc8,
+  0x7fc8, 0x7fc7, 0x7fc7, 0x7fc7, 0x7fc6, 0x7fc6, 0x7fc5, 0x7fc5,
+  0x7fc5, 0x7fc4, 0x7fc4, 0x7fc4, 0x7fc3, 0x7fc3, 0x7fc2, 0x7fc2,
+  0x7fc2, 0x7fc1, 0x7fc1, 0x7fc0, 0x7fc0, 0x7fc0, 0x7fbf, 0x7fbf,
+  0x7fbf, 0x7fbe, 0x7fbe, 0x7fbd, 0x7fbd, 0x7fbd, 0x7fbc, 0x7fbc,
+  0x7fbb, 0x7fbb, 0x7fbb, 0x7fba, 0x7fba, 0x7fb9, 0x7fb9, 0x7fb8,
+  0x7fb8, 0x7fb8, 0x7fb7, 0x7fb7, 0x7fb6, 0x7fb6, 0x7fb6, 0x7fb5,
+  0x7fb5, 0x7fb4, 0x7fb4, 0x7fb3, 0x7fb3, 0x7fb3, 0x7fb2, 0x7fb2,
+  0x7fb1, 0x7fb1, 0x7fb0, 0x7fb0, 0x7faf, 0x7faf, 0x7faf, 0x7fae,
+  0x7fae, 0x7fad, 0x7fad, 0x7fac, 0x7fac, 0x7fac, 0x7fab, 0x7fab,
+  0x7faa, 0x7faa, 0x7fa9, 0x7fa9, 0x7fa8, 0x7fa8, 0x7fa7, 0x7fa7,
+  0x7fa6, 0x7fa6, 0x7fa6, 0x7fa5, 0x7fa5, 0x7fa4, 0x7fa4, 0x7fa3,
+  0x7fa3, 0x7fa2, 0x7fa2, 0x7fa1, 0x7fa1, 0x7fa0, 0x7fa0, 0x7f9f,
+  0x7f9f, 0x7f9e, 0x7f9e, 0x7f9d, 0x7f9d, 0x7f9c, 0x7f9c, 0x7f9c,
+  0x7f9b, 0x7f9b, 0x7f9a, 0x7f9a, 0x7f99, 0x7f99, 0x7f98, 0x7f98,
+  0x7f97, 0x7f97, 0x7f96, 0x7f96, 0x7f95, 0x7f95, 0x7f94, 0x7f94,
+  0x7f93, 0x7f92, 0x7f92, 0x7f91, 0x7f91, 0x7f90, 0x7f90, 0x7f8f,
+  0x7f8f, 0x7f8e, 0x7f8e, 0x7f8d, 0x7f8d, 0x7f8c, 0x7f8c, 0x7f8b,
+  0x7f8b, 0x7f8a, 0x7f8a, 0x7f89, 0x7f89, 0x7f88, 0x7f87, 0x7f87,
+  0x7f86, 0x7f86, 0x7f85, 0x7f85, 0x7f84, 0x7f84, 0x7f83, 0x7f83,
+  0x7f82, 0x7f81, 0x7f81, 0x7f80, 0x7f80, 0x7f7f, 0x7f7f, 0x7f7e,
+  0x7f7e, 0x7f7d, 0x7f7c, 0x7f7c, 0x7f7b, 0x7f7b, 0x7f7a, 0x7f7a,
+  0x7f79, 0x7f79, 0x7f78, 0x7f77, 0x7f77, 0x7f76, 0x7f76, 0x7f75,
+  0x7f75, 0x7f74, 0x7f73, 0x7f73, 0x7f72, 0x7f72, 0x7f71, 0x7f70,
+  0x7f70, 0x7f6f, 0x7f6f, 0x7f6e, 0x7f6d, 0x7f6d, 0x7f6c, 0x7f6c,
+  0x7f6b, 0x7f6b, 0x7f6a, 0x7f69, 0x7f69, 0x7f68, 0x7f68, 0x7f67,
+  0x7f66, 0x7f66, 0x7f65, 0x7f64, 0x7f64, 0x7f63, 0x7f63, 0x7f62,
+  0x7f61, 0x7f61, 0x7f60, 0x7f60, 0x7f5f, 0x7f5e, 0x7f5e, 0x7f5d,
+  0x7f5c, 0x7f5c, 0x7f5b, 0x7f5b, 0x7f5a, 0x7f59, 0x7f59, 0x7f58,
+  0x7f57, 0x7f57, 0x7f56, 0x7f55, 0x7f55, 0x7f54, 0x7f54, 0x7f53,
+  0x7f52, 0x7f52, 0x7f51, 0x7f50, 0x7f50, 0x7f4f, 0x7f4e, 0x7f4e,
+  0x7f4d, 0x7f4c, 0x7f4c, 0x7f4b, 0x7f4a, 0x7f4a, 0x7f49, 0x7f48,
+  0x7f48, 0x7f47, 0x7f46, 0x7f46, 0x7f45, 0x7f44, 0x7f44, 0x7f43,
+  0x7f42, 0x7f42, 0x7f41, 0x7f40, 0x7f40, 0x7f3f, 0x7f3e, 0x7f3e,
+  0x7f3d, 0x7f3c, 0x7f3c, 0x7f3b, 0x7f3a, 0x7f3a, 0x7f39, 0x7f38,
+  0x7f37, 0x7f37, 0x7f36, 0x7f35, 0x7f35, 0x7f34, 0x7f33, 0x7f33,
+  0x7f32, 0x7f31, 0x7f31, 0x7f30, 0x7f2f, 0x7f2e, 0x7f2e, 0x7f2d,
+  0x7f2c, 0x7f2c, 0x7f2b, 0x7f2a, 0x7f29, 0x7f29, 0x7f28, 0x7f27,
+  0x7f27, 0x7f26, 0x7f25, 0x7f24, 0x7f24, 0x7f23, 0x7f22, 0x7f21,
+  0x7f21, 0x7f20, 0x7f1f, 0x7f1f, 0x7f1e, 0x7f1d, 0x7f1c, 0x7f1c,
+  0x7f1b, 0x7f1a, 0x7f19, 0x7f19, 0x7f18, 0x7f17, 0x7f16, 0x7f16,
+  0x7f15, 0x7f14, 0x7f13, 0x7f13, 0x7f12, 0x7f11, 0x7f10, 0x7f10,
+  0x7f0f, 0x7f0e, 0x7f0d, 0x7f0d, 0x7f0c, 0x7f0b, 0x7f0a, 0x7f09,
+  0x7f09, 0x7f08, 0x7f07, 0x7f06, 0x7f06, 0x7f05, 0x7f04, 0x7f03,
+  0x7f02, 0x7f02, 0x7f01, 0x7f00, 0x7eff, 0x7eff, 0x7efe, 0x7efd,
+  0x7efc, 0x7efb, 0x7efb, 0x7efa, 0x7ef9, 0x7ef8, 0x7ef7, 0x7ef7,
+  0x7ef6, 0x7ef5, 0x7ef4, 0x7ef3, 0x7ef3, 0x7ef2, 0x7ef1, 0x7ef0,
+  0x7eef, 0x7eef, 0x7eee, 0x7eed, 0x7eec, 0x7eeb, 0x7eeb, 0x7eea,
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+  0x7ee2, 0x7ee2, 0x7ee1, 0x7ee0, 0x7edf, 0x7ede, 0x7edd, 0x7edd,
+  0x7edc, 0x7edb, 0x7eda, 0x7ed9, 0x7ed8, 0x7ed8, 0x7ed7, 0x7ed6,
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+  0x7eb9, 0x7eb8, 0x7eb8, 0x7eb7, 0x7eb6, 0x7eb5, 0x7eb4, 0x7eb3,
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+  0x7eab, 0x7eaa, 0x7ea9, 0x7ea8, 0x7ea7, 0x7ea6, 0x7ea6, 0x7ea5,
+  0x7ea4, 0x7ea3, 0x7ea2, 0x7ea1, 0x7ea0, 0x7e9f, 0x7e9e, 0x7e9d,
+  0x7e9c, 0x7e9b, 0x7e9b, 0x7e9a, 0x7e99, 0x7e98, 0x7e97, 0x7e96,
+  0x7e95, 0x7e94, 0x7e93, 0x7e92, 0x7e91, 0x7e90, 0x7e8f, 0x7e8e,
+  0x7e8d, 0x7e8d, 0x7e8c, 0x7e8b, 0x7e8a, 0x7e89, 0x7e88, 0x7e87,
+  0x7e86, 0x7e85, 0x7e84, 0x7e83, 0x7e82, 0x7e81, 0x7e80, 0x7e7f,
+  0x7e7e, 0x7e7d, 0x7e7c, 0x7e7b, 0x7e7a, 0x7e79, 0x7e78, 0x7e77,
+  0x7e77, 0x7e76, 0x7e75, 0x7e74, 0x7e73, 0x7e72, 0x7e71, 0x7e70,
+  0x7e6f, 0x7e6e, 0x7e6d, 0x7e6c, 0x7e6b, 0x7e6a, 0x7e69, 0x7e68,
+  0x7e67, 0x7e66, 0x7e65, 0x7e64, 0x7e63, 0x7e62, 0x7e61, 0x7e60,
+  0x7e5f, 0x7e5e, 0x7e5d, 0x7e5c, 0x7e5b, 0x7e5a, 0x7e59, 0x7e58,
+  0x7e57, 0x7e56, 0x7e55, 0x7e54, 0x7e53, 0x7e52, 0x7e51, 0x7e50,
+  0x7e4f, 0x7e4e, 0x7e4d, 0x7e4c, 0x7e4b, 0x7e4a, 0x7e49, 0x7e48,
+  0x7e47, 0x7e46, 0x7e45, 0x7e43, 0x7e42, 0x7e41, 0x7e40, 0x7e3f,
+  0x7e3e, 0x7e3d, 0x7e3c, 0x7e3b, 0x7e3a, 0x7e39, 0x7e38, 0x7e37,
+  0x7e36, 0x7e35, 0x7e34, 0x7e33, 0x7e32, 0x7e31, 0x7e30, 0x7e2f,
+  0x7e2e, 0x7e2d, 0x7e2b, 0x7e2a, 0x7e29, 0x7e28, 0x7e27, 0x7e26,
+  0x7e25, 0x7e24, 0x7e23, 0x7e22, 0x7e21, 0x7e20, 0x7e1f, 0x7e1e,
+  0x7e1d, 0x7e1b, 0x7e1a, 0x7e19, 0x7e18, 0x7e17, 0x7e16, 0x7e15,
+  0x7e14, 0x7e13, 0x7e12, 0x7e11, 0x7e10, 0x7e0e, 0x7e0d, 0x7e0c,
+  0x7e0b, 0x7e0a, 0x7e09, 0x7e08, 0x7e07, 0x7e06, 0x7e05, 0x7e04,
+  0x7e02, 0x7e01, 0x7e00, 0x7dff, 0x7dfe, 0x7dfd, 0x7dfc, 0x7dfb,
+  0x7dfa, 0x7df8, 0x7df7, 0x7df6, 0x7df5, 0x7df4, 0x7df3, 0x7df2,
+  0x7df1, 0x7def, 0x7dee, 0x7ded, 0x7dec, 0x7deb, 0x7dea, 0x7de9,
+  0x7de8, 0x7de6, 0x7de5, 0x7de4, 0x7de3, 0x7de2, 0x7de1, 0x7de0,
+  0x7dde, 0x7ddd, 0x7ddc, 0x7ddb, 0x7dda, 0x7dd9, 0x7dd8, 0x7dd6,
+  0x7dd5, 0x7dd4, 0x7dd3, 0x7dd2, 0x7dd1, 0x7dd0, 0x7dce, 0x7dcd,
+  0x7dcc, 0x7dcb, 0x7dca, 0x7dc9, 0x7dc7, 0x7dc6, 0x7dc5, 0x7dc4,
+  0x7dc3, 0x7dc2, 0x7dc0, 0x7dbf, 0x7dbe, 0x7dbd, 0x7dbc, 0x7dbb,
+  0x7db9, 0x7db8, 0x7db7, 0x7db6, 0x7db5, 0x7db3, 0x7db2, 0x7db1,
+  0x7db0, 0x7daf, 0x7dae, 0x7dac, 0x7dab, 0x7daa, 0x7da9, 0x7da8,
+  0x7da6, 0x7da5, 0x7da4, 0x7da3, 0x7da2, 0x7da0, 0x7d9f, 0x7d9e,
+  0x7d9d, 0x7d9c, 0x7d9a, 0x7d99, 0x7d98, 0x7d97, 0x7d95, 0x7d94,
+  0x7d93, 0x7d92, 0x7d91, 0x7d8f, 0x7d8e, 0x7d8d, 0x7d8c, 0x7d8a,
+  0x7d89, 0x7d88, 0x7d87, 0x7d86, 0x7d84, 0x7d83, 0x7d82, 0x7d81,
+  0x7d7f, 0x7d7e, 0x7d7d, 0x7d7c, 0x7d7a, 0x7d79, 0x7d78, 0x7d77,
+  0x7d75, 0x7d74, 0x7d73, 0x7d72, 0x7d70, 0x7d6f, 0x7d6e, 0x7d6d,
+  0x7d6b, 0x7d6a, 0x7d69, 0x7d68, 0x7d66, 0x7d65, 0x7d64, 0x7d63,
+  0x7d61, 0x7d60, 0x7d5f, 0x7d5e, 0x7d5c, 0x7d5b, 0x7d5a, 0x7d59,
+  0x7d57, 0x7d56, 0x7d55, 0x7d53, 0x7d52, 0x7d51, 0x7d50, 0x7d4e,
+  0x7d4d, 0x7d4c, 0x7d4a, 0x7d49, 0x7d48, 0x7d47, 0x7d45, 0x7d44,
+  0x7d43, 0x7d41, 0x7d40, 0x7d3f, 0x7d3e, 0x7d3c, 0x7d3b, 0x7d3a,
+  0x7d38, 0x7d37, 0x7d36, 0x7d34, 0x7d33, 0x7d32, 0x7d31, 0x7d2f,
+  0x7d2e, 0x7d2d, 0x7d2b, 0x7d2a, 0x7d29, 0x7d27, 0x7d26, 0x7d25,
+  0x7d23, 0x7d22, 0x7d21, 0x7d1f, 0x7d1e, 0x7d1d, 0x7d1b, 0x7d1a,
+  0x7d19, 0x7d17, 0x7d16, 0x7d15, 0x7d13, 0x7d12, 0x7d11, 0x7d0f,
+  0x7d0e, 0x7d0d, 0x7d0b, 0x7d0a, 0x7d09, 0x7d07, 0x7d06, 0x7d05,
+  0x7d03, 0x7d02, 0x7d01, 0x7cff, 0x7cfe, 0x7cfd, 0x7cfb, 0x7cfa,
+  0x7cf9, 0x7cf7, 0x7cf6, 0x7cf4, 0x7cf3, 0x7cf2, 0x7cf0, 0x7cef,
+  0x7cee, 0x7cec, 0x7ceb, 0x7ce9, 0x7ce8, 0x7ce7, 0x7ce5, 0x7ce4,
+  0x7ce3, 0x7ce1, 0x7ce0, 0x7cde, 0x7cdd, 0x7cdc, 0x7cda, 0x7cd9,
+  0x7cd8, 0x7cd6, 0x7cd5, 0x7cd3, 0x7cd2, 0x7cd1, 0x7ccf, 0x7cce,
+  0x7ccc, 0x7ccb, 0x7cca, 0x7cc8, 0x7cc7, 0x7cc5, 0x7cc4, 0x7cc3,
+  0x7cc1, 0x7cc0, 0x7cbe, 0x7cbd, 0x7cbc, 0x7cba, 0x7cb9, 0x7cb7,
+  0x7cb6, 0x7cb5, 0x7cb3, 0x7cb2, 0x7cb0, 0x7caf, 0x7cad, 0x7cac,
+  0x7cab, 0x7ca9, 0x7ca8, 0x7ca6, 0x7ca5, 0x7ca3, 0x7ca2, 0x7ca1,
+  0x7c9f, 0x7c9e, 0x7c9c, 0x7c9b, 0x7c99, 0x7c98, 0x7c97, 0x7c95,
+  0x7c94, 0x7c92, 0x7c91, 0x7c8f, 0x7c8e, 0x7c8c, 0x7c8b, 0x7c8a,
+  0x7c88, 0x7c87, 0x7c85, 0x7c84, 0x7c82, 0x7c81, 0x7c7f, 0x7c7e,
+  0x7c7c, 0x7c7b, 0x7c79, 0x7c78, 0x7c77, 0x7c75, 0x7c74, 0x7c72,
+  0x7c71, 0x7c6f, 0x7c6e, 0x7c6c, 0x7c6b, 0x7c69, 0x7c68, 0x7c66,
+  0x7c65, 0x7c63, 0x7c62, 0x7c60, 0x7c5f, 0x7c5d, 0x7c5c, 0x7c5a,
+  0x7c59, 0x7c58, 0x7c56, 0x7c55, 0x7c53, 0x7c52, 0x7c50, 0x7c4f,
+  0x7c4d, 0x7c4c, 0x7c4a, 0x7c49, 0x7c47, 0x7c46, 0x7c44, 0x7c43,
+  0x7c41, 0x7c3f, 0x7c3e, 0x7c3c, 0x7c3b, 0x7c39, 0x7c38, 0x7c36,
+  0x7c35, 0x7c33, 0x7c32, 0x7c30, 0x7c2f, 0x7c2d, 0x7c2c, 0x7c2a,
+  0x7c29, 0x7c27, 0x7c26, 0x7c24, 0x7c23, 0x7c21, 0x7c20, 0x7c1e,
+  0x7c1c, 0x7c1b, 0x7c19, 0x7c18, 0x7c16, 0x7c15, 0x7c13, 0x7c12,
+  0x7c10, 0x7c0f, 0x7c0d, 0x7c0b, 0x7c0a, 0x7c08, 0x7c07, 0x7c05,
+  0x7c04, 0x7c02, 0x7c01, 0x7bff, 0x7bfd, 0x7bfc, 0x7bfa, 0x7bf9,
+  0x7bf7, 0x7bf6, 0x7bf4, 0x7bf3, 0x7bf1, 0x7bef, 0x7bee, 0x7bec,
+  0x7beb, 0x7be9, 0x7be8, 0x7be6, 0x7be4, 0x7be3, 0x7be1, 0x7be0,
+  0x7bde, 0x7bdc, 0x7bdb, 0x7bd9, 0x7bd8, 0x7bd6, 0x7bd5, 0x7bd3,
+  0x7bd1, 0x7bd0, 0x7bce, 0x7bcd, 0x7bcb, 0x7bc9, 0x7bc8, 0x7bc6,
+  0x7bc5, 0x7bc3, 0x7bc1, 0x7bc0, 0x7bbe, 0x7bbd, 0x7bbb, 0x7bb9,
+  0x7bb8, 0x7bb6, 0x7bb5, 0x7bb3, 0x7bb1, 0x7bb0, 0x7bae, 0x7bac,
+  0x7bab, 0x7ba9, 0x7ba8, 0x7ba6, 0x7ba4, 0x7ba3, 0x7ba1, 0x7b9f,
+  0x7b9e, 0x7b9c, 0x7b9b, 0x7b99, 0x7b97, 0x7b96, 0x7b94, 0x7b92,
+  0x7b91, 0x7b8f, 0x7b8d, 0x7b8c, 0x7b8a, 0x7b89, 0x7b87, 0x7b85,
+  0x7b84, 0x7b82, 0x7b80, 0x7b7f, 0x7b7d, 0x7b7b, 0x7b7a, 0x7b78,
+  0x7b76, 0x7b75, 0x7b73, 0x7b71, 0x7b70, 0x7b6e, 0x7b6c, 0x7b6b,
+  0x7b69, 0x7b67, 0x7b66, 0x7b64, 0x7b62, 0x7b61, 0x7b5f, 0x7b5d,
+  0x7b5c, 0x7b5a, 0x7b58, 0x7b57, 0x7b55, 0x7b53, 0x7b52, 0x7b50,
+  0x7b4e, 0x7b4d, 0x7b4b, 0x7b49, 0x7b47, 0x7b46, 0x7b44, 0x7b42,
+  0x7b41, 0x7b3f, 0x7b3d, 0x7b3c, 0x7b3a, 0x7b38, 0x7b37, 0x7b35,
+  0x7b33, 0x7b31, 0x7b30, 0x7b2e, 0x7b2c, 0x7b2b, 0x7b29, 0x7b27,
+  0x7b25, 0x7b24, 0x7b22, 0x7b20, 0x7b1f, 0x7b1d, 0x7b1b, 0x7b19,
+  0x7b18, 0x7b16, 0x7b14, 0x7b13, 0x7b11, 0x7b0f, 0x7b0d, 0x7b0c,
+  0x7b0a, 0x7b08, 0x7b06, 0x7b05, 0x7b03, 0x7b01, 0x7aff, 0x7afe,
+  0x7afc, 0x7afa, 0x7af8, 0x7af7, 0x7af5, 0x7af3, 0x7af2, 0x7af0,
+  0x7aee, 0x7aec, 0x7aeb, 0x7ae9, 0x7ae7, 0x7ae5, 0x7ae3, 0x7ae2,
+  0x7ae0, 0x7ade, 0x7adc, 0x7adb, 0x7ad9, 0x7ad7, 0x7ad5, 0x7ad4,
+  0x7ad2, 0x7ad0, 0x7ace, 0x7acd, 0x7acb, 0x7ac9, 0x7ac7, 0x7ac5,
+  0x7ac4, 0x7ac2, 0x7ac0, 0x7abe, 0x7abd, 0x7abb, 0x7ab9, 0x7ab7,
+  0x7ab5, 0x7ab4, 0x7ab2, 0x7ab0, 0x7aae, 0x7aac, 0x7aab, 0x7aa9,
+  0x7aa7, 0x7aa5, 0x7aa3, 0x7aa2, 0x7aa0, 0x7a9e, 0x7a9c, 0x7a9a,
+  0x7a99, 0x7a97, 0x7a95, 0x7a93, 0x7a91, 0x7a90, 0x7a8e, 0x7a8c,
+  0x7a8a, 0x7a88, 0x7a87, 0x7a85, 0x7a83, 0x7a81, 0x7a7f, 0x7a7d,
+  0x7a7c, 0x7a7a, 0x7a78, 0x7a76, 0x7a74, 0x7a72, 0x7a71, 0x7a6f,
+  0x7a6d, 0x7a6b, 0x7a69, 0x7a67, 0x7a66, 0x7a64, 0x7a62, 0x7a60,
+  0x7a5e, 0x7a5c, 0x7a5b, 0x7a59, 0x7a57, 0x7a55, 0x7a53, 0x7a51,
+  0x7a4f, 0x7a4e, 0x7a4c, 0x7a4a, 0x7a48, 0x7a46, 0x7a44, 0x7a42,
+  0x7a41, 0x7a3f, 0x7a3d, 0x7a3b, 0x7a39, 0x7a37, 0x7a35, 0x7a34,
+  0x7a32, 0x7a30, 0x7a2e, 0x7a2c, 0x7a2a, 0x7a28, 0x7a26, 0x7a25,
+  0x7a23, 0x7a21, 0x7a1f, 0x7a1d, 0x7a1b, 0x7a19, 0x7a17, 0x7a16,
+  0x7a14, 0x7a12, 0x7a10, 0x7a0e, 0x7a0c, 0x7a0a, 0x7a08, 0x7a06,
+  0x7a04, 0x7a03, 0x7a01, 0x79ff, 0x79fd, 0x79fb, 0x79f9, 0x79f7,
+  0x79f5, 0x79f3, 0x79f1, 0x79f0, 0x79ee, 0x79ec, 0x79ea, 0x79e8,
+  0x79e6, 0x79e4, 0x79e2, 0x79e0, 0x79de, 0x79dc, 0x79da, 0x79d9,
+  0x79d7, 0x79d5, 0x79d3, 0x79d1, 0x79cf, 0x79cd, 0x79cb, 0x79c9,
+  0x79c7, 0x79c5, 0x79c3, 0x79c1, 0x79bf, 0x79bd, 0x79bc, 0x79ba,
+  0x79b8, 0x79b6, 0x79b4, 0x79b2, 0x79b0, 0x79ae, 0x79ac, 0x79aa,
+  0x79a8, 0x79a6, 0x79a4, 0x79a2, 0x79a0, 0x799e, 0x799c, 0x799a,
+  0x7998, 0x7996, 0x7994, 0x7992, 0x7991, 0x798f, 0x798d, 0x798b,
+  0x7989, 0x7987, 0x7985, 0x7983, 0x7981, 0x797f, 0x797d, 0x797b,
+  0x7979, 0x7977, 0x7975, 0x7973, 0x7971, 0x796f, 0x796d, 0x796b,
+  0x7969, 0x7967, 0x7965, 0x7963, 0x7961, 0x795f, 0x795d, 0x795b,
+  0x7959, 0x7957, 0x7955, 0x7953, 0x7951, 0x794f, 0x794d, 0x794b,
+  0x7949, 0x7947, 0x7945, 0x7943, 0x7941, 0x793f, 0x793d, 0x793b,
+  0x7939, 0x7937, 0x7935, 0x7933, 0x7931, 0x792f, 0x792d, 0x792b,
+  0x7929, 0x7927, 0x7925, 0x7923, 0x7921, 0x791f, 0x791d, 0x791a,
+  0x7918, 0x7916, 0x7914, 0x7912, 0x7910, 0x790e, 0x790c, 0x790a,
+  0x7908, 0x7906, 0x7904, 0x7902, 0x7900, 0x78fe, 0x78fc, 0x78fa,
+  0x78f8, 0x78f6, 0x78f4, 0x78f2, 0x78f0, 0x78ed, 0x78eb, 0x78e9,
+  0x78e7, 0x78e5, 0x78e3, 0x78e1, 0x78df, 0x78dd, 0x78db, 0x78d9,
+  0x78d7, 0x78d5, 0x78d3, 0x78d1, 0x78ce, 0x78cc, 0x78ca, 0x78c8,
+  0x78c6, 0x78c4, 0x78c2, 0x78c0, 0x78be, 0x78bc, 0x78ba, 0x78b8,
+  0x78b5, 0x78b3, 0x78b1, 0x78af, 0x78ad, 0x78ab, 0x78a9, 0x78a7,
+  0x78a5, 0x78a3, 0x78a0, 0x789e, 0x789c, 0x789a, 0x7898, 0x7896,
+  0x7894, 0x7892, 0x7890, 0x788e, 0x788b, 0x7889, 0x7887, 0x7885,
+  0x7883, 0x7881, 0x787f, 0x787d, 0x787a, 0x7878, 0x7876, 0x7874,
+  0x7872, 0x7870, 0x786e, 0x786c, 0x7869, 0x7867, 0x7865, 0x7863,
+  0x7861, 0x785f, 0x785d, 0x785b, 0x7858, 0x7856, 0x7854, 0x7852,
+  0x7850, 0x784e, 0x784c, 0x7849, 0x7847, 0x7845, 0x7843, 0x7841,
+  0x783f, 0x783c, 0x783a, 0x7838, 0x7836, 0x7834, 0x7832, 0x7830,
+  0x782d, 0x782b, 0x7829, 0x7827, 0x7825, 0x7823, 0x7820, 0x781e,
+  0x781c, 0x781a, 0x7818, 0x7816, 0x7813, 0x7811, 0x780f, 0x780d,
+  0x780b, 0x7808, 0x7806, 0x7804, 0x7802, 0x7800, 0x77fe, 0x77fb,
+  0x77f9, 0x77f7, 0x77f5, 0x77f3, 0x77f0, 0x77ee, 0x77ec, 0x77ea,
+  0x77e8, 0x77e5, 0x77e3, 0x77e1, 0x77df, 0x77dd, 0x77da, 0x77d8,
+  0x77d6, 0x77d4, 0x77d2, 0x77cf, 0x77cd, 0x77cb, 0x77c9, 0x77c6,
+  0x77c4, 0x77c2, 0x77c0, 0x77be, 0x77bb, 0x77b9, 0x77b7, 0x77b5,
+  0x77b2, 0x77b0, 0x77ae, 0x77ac, 0x77aa, 0x77a7, 0x77a5, 0x77a3,
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+  0x51a5, 0x51a0, 0x519c, 0x5197, 0x5192, 0x518d, 0x5188, 0x5183,
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+  0x5158, 0x5153, 0x514e, 0x5149, 0x5144, 0x513f, 0x513b, 0x5136,
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+  0x50e3, 0x50de, 0x50d9, 0x50d4, 0x50d0, 0x50cb, 0x50c6, 0x50c1,
+  0x50bc, 0x50b7, 0x50b2, 0x50ad, 0x50a9, 0x50a4, 0x509f, 0x509a,
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+  0x5047, 0x5042, 0x503d, 0x5038, 0x5033, 0x502e, 0x5029, 0x5025,
+  0x5020, 0x501b, 0x5016, 0x5011, 0x500c, 0x5007, 0x5002, 0x4ffd,
+  0x4ff8, 0x4ff4, 0x4fef, 0x4fea, 0x4fe5, 0x4fe0, 0x4fdb, 0x4fd6,
+  0x4fd1, 0x4fcc, 0x4fc7, 0x4fc2, 0x4fbe, 0x4fb9, 0x4fb4, 0x4faf,
+  0x4faa, 0x4fa5, 0x4fa0, 0x4f9b, 0x4f96, 0x4f91, 0x4f8c, 0x4f87,
+  0x4f82, 0x4f7e, 0x4f79, 0x4f74, 0x4f6f, 0x4f6a, 0x4f65, 0x4f60,
+  0x4f5b, 0x4f56, 0x4f51, 0x4f4c, 0x4f47, 0x4f42, 0x4f3d, 0x4f39,
+  0x4f34, 0x4f2f, 0x4f2a, 0x4f25, 0x4f20, 0x4f1b, 0x4f16, 0x4f11,
+  0x4f0c, 0x4f07, 0x4f02, 0x4efd, 0x4ef8, 0x4ef3, 0x4eee, 0x4ee9,
+  0x4ee5, 0x4ee0, 0x4edb, 0x4ed6, 0x4ed1, 0x4ecc, 0x4ec7, 0x4ec2,
+  0x4ebd, 0x4eb8, 0x4eb3, 0x4eae, 0x4ea9, 0x4ea4, 0x4e9f, 0x4e9a,
+  0x4e95, 0x4e90, 0x4e8b, 0x4e86, 0x4e81, 0x4e7c, 0x4e78, 0x4e73,
+  0x4e6e, 0x4e69, 0x4e64, 0x4e5f, 0x4e5a, 0x4e55, 0x4e50, 0x4e4b,
+  0x4e46, 0x4e41, 0x4e3c, 0x4e37, 0x4e32, 0x4e2d, 0x4e28, 0x4e23,
+  0x4e1e, 0x4e19, 0x4e14, 0x4e0f, 0x4e0a, 0x4e05, 0x4e00, 0x4dfb,
+  0x4df6, 0x4df1, 0x4dec, 0x4de7, 0x4de2, 0x4ddd, 0x4dd8, 0x4dd3,
+  0x4dce, 0x4dc9, 0x4dc4, 0x4dbf, 0x4dba, 0x4db5, 0x4db0, 0x4dab,
+  0x4da6, 0x4da1, 0x4d9c, 0x4d97, 0x4d92, 0x4d8d, 0x4d88, 0x4d83,
+  0x4d7e, 0x4d79, 0x4d74, 0x4d6f, 0x4d6a, 0x4d65, 0x4d60, 0x4d5b,
+  0x4d56, 0x4d51, 0x4d4c, 0x4d47, 0x4d42, 0x4d3d, 0x4d38, 0x4d33,
+  0x4d2e, 0x4d29, 0x4d24, 0x4d1f, 0x4d1a, 0x4d15, 0x4d10, 0x4d0b,
+  0x4d06, 0x4d01, 0x4cfc, 0x4cf7, 0x4cf2, 0x4ced, 0x4ce8, 0x4ce3,
+  0x4cde, 0x4cd9, 0x4cd4, 0x4ccf, 0x4cca, 0x4cc5, 0x4cc0, 0x4cbb,
+  0x4cb6, 0x4cb1, 0x4cac, 0x4ca7, 0x4ca2, 0x4c9d, 0x4c98, 0x4c93,
+  0x4c8e, 0x4c88, 0x4c83, 0x4c7e, 0x4c79, 0x4c74, 0x4c6f, 0x4c6a,
+  0x4c65, 0x4c60, 0x4c5b, 0x4c56, 0x4c51, 0x4c4c, 0x4c47, 0x4c42,
+  0x4c3d, 0x4c38, 0x4c33, 0x4c2e, 0x4c29, 0x4c24, 0x4c1f, 0x4c1a,
+  0x4c14, 0x4c0f, 0x4c0a, 0x4c05, 0x4c00, 0x4bfb, 0x4bf6, 0x4bf1,
+  0x4bec, 0x4be7, 0x4be2, 0x4bdd, 0x4bd8, 0x4bd3, 0x4bce, 0x4bc9,
+  0x4bc4, 0x4bbe, 0x4bb9, 0x4bb4, 0x4baf, 0x4baa, 0x4ba5, 0x4ba0,
+  0x4b9b, 0x4b96, 0x4b91, 0x4b8c, 0x4b87, 0x4b82, 0x4b7d, 0x4b77,
+  0x4b72, 0x4b6d, 0x4b68, 0x4b63, 0x4b5e, 0x4b59, 0x4b54, 0x4b4f,
+  0x4b4a, 0x4b45, 0x4b40, 0x4b3b, 0x4b35, 0x4b30, 0x4b2b, 0x4b26,
+  0x4b21, 0x4b1c, 0x4b17, 0x4b12, 0x4b0d, 0x4b08, 0x4b03, 0x4afd,
+  0x4af8, 0x4af3, 0x4aee, 0x4ae9, 0x4ae4, 0x4adf, 0x4ada, 0x4ad5,
+  0x4ad0, 0x4acb, 0x4ac5, 0x4ac0, 0x4abb, 0x4ab6, 0x4ab1, 0x4aac,
+  0x4aa7, 0x4aa2, 0x4a9d, 0x4a97, 0x4a92, 0x4a8d, 0x4a88, 0x4a83,
+  0x4a7e, 0x4a79, 0x4a74, 0x4a6f, 0x4a6a, 0x4a64, 0x4a5f, 0x4a5a,
+  0x4a55, 0x4a50, 0x4a4b, 0x4a46, 0x4a41, 0x4a3b, 0x4a36, 0x4a31,
+  0x4a2c, 0x4a27, 0x4a22, 0x4a1d, 0x4a18, 0x4a12, 0x4a0d, 0x4a08,
+  0x4a03, 0x49fe, 0x49f9, 0x49f4, 0x49ef, 0x49e9, 0x49e4, 0x49df,
+  0x49da, 0x49d5, 0x49d0, 0x49cb, 0x49c6, 0x49c0, 0x49bb, 0x49b6,
+  0x49b1, 0x49ac, 0x49a7, 0x49a2, 0x499c, 0x4997, 0x4992, 0x498d,
+  0x4988, 0x4983, 0x497e, 0x4978, 0x4973, 0x496e, 0x4969, 0x4964,
+  0x495f, 0x495a, 0x4954, 0x494f, 0x494a, 0x4945, 0x4940, 0x493b,
+  0x4936, 0x4930, 0x492b, 0x4926, 0x4921, 0x491c, 0x4917, 0x4911,
+  0x490c, 0x4907, 0x4902, 0x48fd, 0x48f8, 0x48f2, 0x48ed, 0x48e8,
+  0x48e3, 0x48de, 0x48d9, 0x48d3, 0x48ce, 0x48c9, 0x48c4, 0x48bf,
+  0x48ba, 0x48b4, 0x48af, 0x48aa, 0x48a5, 0x48a0, 0x489b, 0x4895,
+  0x4890, 0x488b, 0x4886, 0x4881, 0x487c, 0x4876, 0x4871, 0x486c,
+  0x4867, 0x4862, 0x485c, 0x4857, 0x4852, 0x484d, 0x4848, 0x4843,
+  0x483d, 0x4838, 0x4833, 0x482e, 0x4829, 0x4823, 0x481e, 0x4819,
+  0x4814, 0x480f, 0x4809, 0x4804, 0x47ff, 0x47fa, 0x47f5, 0x47ef,
+  0x47ea, 0x47e5, 0x47e0, 0x47db, 0x47d5, 0x47d0, 0x47cb, 0x47c6,
+  0x47c1, 0x47bb, 0x47b6, 0x47b1, 0x47ac, 0x47a7, 0x47a1, 0x479c,
+  0x4797, 0x4792, 0x478d, 0x4787, 0x4782, 0x477d, 0x4778, 0x4773,
+  0x476d, 0x4768, 0x4763, 0x475e, 0x4758, 0x4753, 0x474e, 0x4749,
+  0x4744, 0x473e, 0x4739, 0x4734, 0x472f, 0x4729, 0x4724, 0x471f,
+  0x471a, 0x4715, 0x470f, 0x470a, 0x4705, 0x4700, 0x46fa, 0x46f5,
+  0x46f0, 0x46eb, 0x46e6, 0x46e0, 0x46db, 0x46d6, 0x46d1, 0x46cb,
+  0x46c6, 0x46c1, 0x46bc, 0x46b6, 0x46b1, 0x46ac, 0x46a7, 0x46a1,
+  0x469c, 0x4697, 0x4692, 0x468d, 0x4687, 0x4682, 0x467d, 0x4678,
+  0x4672, 0x466d, 0x4668, 0x4663, 0x465d, 0x4658, 0x4653, 0x464e,
+  0x4648, 0x4643, 0x463e, 0x4639, 0x4633, 0x462e, 0x4629, 0x4624,
+  0x461e, 0x4619, 0x4614, 0x460e, 0x4609, 0x4604, 0x45ff, 0x45f9,
+  0x45f4, 0x45ef, 0x45ea, 0x45e4, 0x45df, 0x45da, 0x45d5, 0x45cf,
+  0x45ca, 0x45c5, 0x45c0, 0x45ba, 0x45b5, 0x45b0, 0x45aa, 0x45a5,
+  0x45a0, 0x459b, 0x4595, 0x4590, 0x458b, 0x4586, 0x4580, 0x457b,
+  0x4576, 0x4570, 0x456b, 0x4566, 0x4561, 0x455b, 0x4556, 0x4551,
+  0x454b, 0x4546, 0x4541, 0x453c, 0x4536, 0x4531, 0x452c, 0x4526,
+  0x4521, 0x451c, 0x4517, 0x4511, 0x450c, 0x4507, 0x4501, 0x44fc,
+  0x44f7, 0x44f2, 0x44ec, 0x44e7, 0x44e2, 0x44dc, 0x44d7, 0x44d2,
+  0x44cd, 0x44c7, 0x44c2, 0x44bd, 0x44b7, 0x44b2, 0x44ad, 0x44a7,
+  0x44a2, 0x449d, 0x4497, 0x4492, 0x448d, 0x4488, 0x4482, 0x447d,
+  0x4478, 0x4472, 0x446d, 0x4468, 0x4462, 0x445d, 0x4458, 0x4452,
+  0x444d, 0x4448, 0x4443, 0x443d, 0x4438, 0x4433, 0x442d, 0x4428,
+  0x4423, 0x441d, 0x4418, 0x4413, 0x440d, 0x4408, 0x4403, 0x43fd,
+  0x43f8, 0x43f3, 0x43ed, 0x43e8, 0x43e3, 0x43dd, 0x43d8, 0x43d3,
+  0x43cd, 0x43c8, 0x43c3, 0x43bd, 0x43b8, 0x43b3, 0x43ad, 0x43a8,
+  0x43a3, 0x439d, 0x4398, 0x4393, 0x438d, 0x4388, 0x4383, 0x437d,
+  0x4378, 0x4373, 0x436d, 0x4368, 0x4363, 0x435d, 0x4358, 0x4353,
+  0x434d, 0x4348, 0x4343, 0x433d, 0x4338, 0x4333, 0x432d, 0x4328,
+  0x4323, 0x431d, 0x4318, 0x4313, 0x430d, 0x4308, 0x4302, 0x42fd,
+  0x42f8, 0x42f2, 0x42ed, 0x42e8, 0x42e2, 0x42dd, 0x42d8, 0x42d2,
+  0x42cd, 0x42c8, 0x42c2, 0x42bd, 0x42b7, 0x42b2, 0x42ad, 0x42a7,
+  0x42a2, 0x429d, 0x4297, 0x4292, 0x428d, 0x4287, 0x4282, 0x427c,
+  0x4277, 0x4272, 0x426c, 0x4267, 0x4262, 0x425c, 0x4257, 0x4251,
+  0x424c, 0x4247, 0x4241, 0x423c, 0x4237, 0x4231, 0x422c, 0x4226,
+  0x4221, 0x421c, 0x4216, 0x4211, 0x420c, 0x4206, 0x4201, 0x41fb,
+  0x41f6, 0x41f1, 0x41eb, 0x41e6, 0x41e0, 0x41db, 0x41d6, 0x41d0,
+  0x41cb, 0x41c6, 0x41c0, 0x41bb, 0x41b5, 0x41b0, 0x41ab, 0x41a5,
+  0x41a0, 0x419a, 0x4195, 0x4190, 0x418a, 0x4185, 0x417f, 0x417a,
+  0x4175, 0x416f, 0x416a, 0x4164, 0x415f, 0x415a, 0x4154, 0x414f,
+  0x4149, 0x4144, 0x413f, 0x4139, 0x4134, 0x412e, 0x4129, 0x4124,
+  0x411e, 0x4119, 0x4113, 0x410e, 0x4108, 0x4103, 0x40fe, 0x40f8,
+  0x40f3, 0x40ed, 0x40e8, 0x40e3, 0x40dd, 0x40d8, 0x40d2, 0x40cd,
+  0x40c8, 0x40c2, 0x40bd, 0x40b7, 0x40b2, 0x40ac, 0x40a7, 0x40a2,
+  0x409c, 0x4097, 0x4091, 0x408c, 0x4086, 0x4081, 0x407c, 0x4076,
+  0x4071, 0x406b, 0x4066, 0x4060, 0x405b, 0x4056, 0x4050, 0x404b,
+  0x4045, 0x4040, 0x403a, 0x4035, 0x4030, 0x402a, 0x4025, 0x401f,
+  0x401a, 0x4014, 0x400f, 0x4009, 0x4004, 0x3fff, 0x3ff9, 0x3ff4,
+  0x3fee, 0x3fe9, 0x3fe3, 0x3fde, 0x3fd8, 0x3fd3, 0x3fce, 0x3fc8,
+  0x3fc3, 0x3fbd, 0x3fb8, 0x3fb2, 0x3fad, 0x3fa7, 0x3fa2, 0x3f9d,
+  0x3f97, 0x3f92, 0x3f8c, 0x3f87, 0x3f81, 0x3f7c, 0x3f76, 0x3f71,
+  0x3f6b, 0x3f66, 0x3f61, 0x3f5b, 0x3f56, 0x3f50, 0x3f4b, 0x3f45,
+  0x3f40, 0x3f3a, 0x3f35, 0x3f2f, 0x3f2a, 0x3f24, 0x3f1f, 0x3f1a,
+  0x3f14, 0x3f0f, 0x3f09, 0x3f04, 0x3efe, 0x3ef9, 0x3ef3, 0x3eee,
+  0x3ee8, 0x3ee3, 0x3edd, 0x3ed8, 0x3ed2, 0x3ecd, 0x3ec7, 0x3ec2,
+  0x3ebd, 0x3eb7, 0x3eb2, 0x3eac, 0x3ea7, 0x3ea1, 0x3e9c, 0x3e96,
+  0x3e91, 0x3e8b, 0x3e86, 0x3e80, 0x3e7b, 0x3e75, 0x3e70, 0x3e6a,
+  0x3e65, 0x3e5f, 0x3e5a, 0x3e54, 0x3e4f, 0x3e49, 0x3e44, 0x3e3e,
+  0x3e39, 0x3e33, 0x3e2e, 0x3e28, 0x3e23, 0x3e1d, 0x3e18, 0x3e12,
+  0x3e0d, 0x3e07, 0x3e02, 0x3dfc, 0x3df7, 0x3df1, 0x3dec, 0x3de6,
+  0x3de1, 0x3ddb, 0x3dd6, 0x3dd0, 0x3dcb, 0x3dc5, 0x3dc0, 0x3dba,
+  0x3db5, 0x3daf, 0x3daa, 0x3da4, 0x3d9f, 0x3d99, 0x3d94, 0x3d8e,
+  0x3d89, 0x3d83, 0x3d7e, 0x3d78, 0x3d73, 0x3d6d, 0x3d68, 0x3d62,
+  0x3d5d, 0x3d57, 0x3d52, 0x3d4c, 0x3d47, 0x3d41, 0x3d3c, 0x3d36,
+  0x3d31, 0x3d2b, 0x3d26, 0x3d20, 0x3d1b, 0x3d15, 0x3d10, 0x3d0a,
+  0x3d04, 0x3cff, 0x3cf9, 0x3cf4, 0x3cee, 0x3ce9, 0x3ce3, 0x3cde,
+  0x3cd8, 0x3cd3, 0x3ccd, 0x3cc8, 0x3cc2, 0x3cbd, 0x3cb7, 0x3cb2,
+  0x3cac, 0x3ca7, 0x3ca1, 0x3c9b, 0x3c96, 0x3c90, 0x3c8b, 0x3c85,
+  0x3c80, 0x3c7a, 0x3c75, 0x3c6f, 0x3c6a, 0x3c64, 0x3c5f, 0x3c59,
+  0x3c53, 0x3c4e, 0x3c48, 0x3c43, 0x3c3d, 0x3c38, 0x3c32, 0x3c2d,
+  0x3c27, 0x3c22, 0x3c1c, 0x3c16, 0x3c11, 0x3c0b, 0x3c06, 0x3c00,
+  0x3bfb, 0x3bf5, 0x3bf0, 0x3bea, 0x3be5, 0x3bdf, 0x3bd9, 0x3bd4,
+  0x3bce, 0x3bc9, 0x3bc3, 0x3bbe, 0x3bb8, 0x3bb3, 0x3bad, 0x3ba7,
+  0x3ba2, 0x3b9c, 0x3b97, 0x3b91, 0x3b8c, 0x3b86, 0x3b80, 0x3b7b,
+  0x3b75, 0x3b70, 0x3b6a, 0x3b65, 0x3b5f, 0x3b5a, 0x3b54, 0x3b4e,
+  0x3b49, 0x3b43, 0x3b3e, 0x3b38, 0x3b33, 0x3b2d, 0x3b27, 0x3b22,
+  0x3b1c, 0x3b17, 0x3b11, 0x3b0c, 0x3b06, 0x3b00, 0x3afb, 0x3af5,
+  0x3af0, 0x3aea, 0x3ae4, 0x3adf, 0x3ad9, 0x3ad4, 0x3ace, 0x3ac9,
+  0x3ac3, 0x3abd, 0x3ab8, 0x3ab2, 0x3aad, 0x3aa7, 0x3aa2, 0x3a9c,
+  0x3a96, 0x3a91, 0x3a8b, 0x3a86, 0x3a80, 0x3a7a, 0x3a75, 0x3a6f,
+  0x3a6a, 0x3a64, 0x3a5e, 0x3a59, 0x3a53, 0x3a4e, 0x3a48, 0x3a42,
+  0x3a3d, 0x3a37, 0x3a32, 0x3a2c, 0x3a26, 0x3a21, 0x3a1b, 0x3a16,
+  0x3a10, 0x3a0b, 0x3a05, 0x39ff, 0x39fa, 0x39f4, 0x39ee, 0x39e9,
+  0x39e3, 0x39de, 0x39d8, 0x39d2, 0x39cd, 0x39c7, 0x39c2, 0x39bc,
+  0x39b6, 0x39b1, 0x39ab, 0x39a6, 0x39a0, 0x399a, 0x3995, 0x398f,
+  0x398a, 0x3984, 0x397e, 0x3979, 0x3973, 0x396d, 0x3968, 0x3962,
+  0x395d, 0x3957, 0x3951, 0x394c, 0x3946, 0x3941, 0x393b, 0x3935,
+  0x3930, 0x392a, 0x3924, 0x391f, 0x3919, 0x3914, 0x390e, 0x3908,
+  0x3903, 0x38fd, 0x38f7, 0x38f2, 0x38ec, 0x38e7, 0x38e1, 0x38db,
+  0x38d6, 0x38d0, 0x38ca, 0x38c5, 0x38bf, 0x38ba, 0x38b4, 0x38ae,
+  0x38a9, 0x38a3, 0x389d, 0x3898, 0x3892, 0x388c, 0x3887, 0x3881,
+  0x387c, 0x3876, 0x3870, 0x386b, 0x3865, 0x385f, 0x385a, 0x3854,
+  0x384e, 0x3849, 0x3843, 0x383d, 0x3838, 0x3832, 0x382d, 0x3827,
+  0x3821, 0x381c, 0x3816, 0x3810, 0x380b, 0x3805, 0x37ff, 0x37fa,
+  0x37f4, 0x37ee, 0x37e9, 0x37e3, 0x37dd, 0x37d8, 0x37d2, 0x37cc,
+  0x37c7, 0x37c1, 0x37bc, 0x37b6, 0x37b0, 0x37ab, 0x37a5, 0x379f,
+  0x379a, 0x3794, 0x378e, 0x3789, 0x3783, 0x377d, 0x3778, 0x3772,
+  0x376c, 0x3767, 0x3761, 0x375b, 0x3756, 0x3750, 0x374a, 0x3745,
+  0x373f, 0x3739, 0x3734, 0x372e, 0x3728, 0x3723, 0x371d, 0x3717,
+  0x3712, 0x370c, 0x3706, 0x3701, 0x36fb, 0x36f5, 0x36f0, 0x36ea,
+  0x36e4, 0x36df, 0x36d9, 0x36d3, 0x36ce, 0x36c8, 0x36c2, 0x36bc,
+  0x36b7, 0x36b1, 0x36ab, 0x36a6, 0x36a0, 0x369a, 0x3695, 0x368f,
+  0x3689, 0x3684, 0x367e, 0x3678, 0x3673, 0x366d, 0x3667, 0x3662,
+  0x365c, 0x3656, 0x3650, 0x364b, 0x3645, 0x363f, 0x363a, 0x3634,
+  0x362e, 0x3629, 0x3623, 0x361d, 0x3618, 0x3612, 0x360c, 0x3606,
+  0x3601, 0x35fb, 0x35f5, 0x35f0, 0x35ea, 0x35e4, 0x35df, 0x35d9,
+  0x35d3, 0x35cd, 0x35c8, 0x35c2, 0x35bc, 0x35b7, 0x35b1, 0x35ab,
+  0x35a6, 0x35a0, 0x359a, 0x3594, 0x358f, 0x3589, 0x3583, 0x357e,
+  0x3578, 0x3572, 0x356c, 0x3567, 0x3561, 0x355b, 0x3556, 0x3550,
+  0x354a, 0x3544, 0x353f, 0x3539, 0x3533, 0x352e, 0x3528, 0x3522,
+  0x351c, 0x3517, 0x3511, 0x350b, 0x3506, 0x3500, 0x34fa, 0x34f4,
+  0x34ef, 0x34e9, 0x34e3, 0x34de, 0x34d8, 0x34d2, 0x34cc, 0x34c7,
+  0x34c1, 0x34bb, 0x34b6, 0x34b0, 0x34aa, 0x34a4, 0x349f, 0x3499,
+  0x3493, 0x348d, 0x3488, 0x3482, 0x347c, 0x3476, 0x3471, 0x346b,
+  0x3465, 0x3460, 0x345a, 0x3454, 0x344e, 0x3449, 0x3443, 0x343d,
+  0x3437, 0x3432, 0x342c, 0x3426, 0x3420, 0x341b, 0x3415, 0x340f,
+  0x340a, 0x3404, 0x33fe, 0x33f8, 0x33f3, 0x33ed, 0x33e7, 0x33e1,
+  0x33dc, 0x33d6, 0x33d0, 0x33ca, 0x33c5, 0x33bf, 0x33b9, 0x33b3,
+  0x33ae, 0x33a8, 0x33a2, 0x339c, 0x3397, 0x3391, 0x338b, 0x3385,
+  0x3380, 0x337a, 0x3374, 0x336e, 0x3369, 0x3363, 0x335d, 0x3357,
+  0x3352, 0x334c, 0x3346, 0x3340, 0x333b, 0x3335, 0x332f, 0x3329,
+  0x3324, 0x331e, 0x3318, 0x3312, 0x330c, 0x3307, 0x3301, 0x32fb,
+  0x32f5, 0x32f0, 0x32ea, 0x32e4, 0x32de, 0x32d9, 0x32d3, 0x32cd,
+  0x32c7, 0x32c2, 0x32bc, 0x32b6, 0x32b0, 0x32aa, 0x32a5, 0x329f,
+  0x3299, 0x3293, 0x328e, 0x3288, 0x3282, 0x327c, 0x3276, 0x3271,
+  0x326b, 0x3265, 0x325f, 0x325a, 0x3254, 0x324e, 0x3248, 0x3243,
+  0x323d, 0x3237, 0x3231, 0x322b, 0x3226, 0x3220, 0x321a, 0x3214,
+  0x320e, 0x3209, 0x3203, 0x31fd, 0x31f7, 0x31f2, 0x31ec, 0x31e6,
+  0x31e0, 0x31da, 0x31d5, 0x31cf, 0x31c9, 0x31c3, 0x31bd, 0x31b8,
+  0x31b2, 0x31ac, 0x31a6, 0x31a1, 0x319b, 0x3195, 0x318f, 0x3189,
+  0x3184, 0x317e, 0x3178, 0x3172, 0x316c, 0x3167, 0x3161, 0x315b,
+  0x3155, 0x314f, 0x314a, 0x3144, 0x313e, 0x3138, 0x3132, 0x312d,
+  0x3127, 0x3121, 0x311b, 0x3115, 0x3110, 0x310a, 0x3104, 0x30fe,
+  0x30f8, 0x30f3, 0x30ed, 0x30e7, 0x30e1, 0x30db, 0x30d6, 0x30d0,
+  0x30ca, 0x30c4, 0x30be, 0x30b8, 0x30b3, 0x30ad, 0x30a7, 0x30a1,
+  0x309b, 0x3096, 0x3090, 0x308a, 0x3084, 0x307e, 0x3079, 0x3073,
+  0x306d, 0x3067, 0x3061, 0x305b, 0x3056, 0x3050, 0x304a, 0x3044,
+  0x303e, 0x3039, 0x3033, 0x302d, 0x3027, 0x3021, 0x301b, 0x3016,
+  0x3010, 0x300a, 0x3004, 0x2ffe, 0x2ff8, 0x2ff3, 0x2fed, 0x2fe7,
+  0x2fe1, 0x2fdb, 0x2fd6, 0x2fd0, 0x2fca, 0x2fc4, 0x2fbe, 0x2fb8,
+  0x2fb3, 0x2fad, 0x2fa7, 0x2fa1, 0x2f9b, 0x2f95, 0x2f90, 0x2f8a,
+  0x2f84, 0x2f7e, 0x2f78, 0x2f72, 0x2f6d, 0x2f67, 0x2f61, 0x2f5b,
+  0x2f55, 0x2f4f, 0x2f4a, 0x2f44, 0x2f3e, 0x2f38, 0x2f32, 0x2f2c,
+  0x2f27, 0x2f21, 0x2f1b, 0x2f15, 0x2f0f, 0x2f09, 0x2f03, 0x2efe,
+  0x2ef8, 0x2ef2, 0x2eec, 0x2ee6, 0x2ee0, 0x2edb, 0x2ed5, 0x2ecf,
+  0x2ec9, 0x2ec3, 0x2ebd, 0x2eb7, 0x2eb2, 0x2eac, 0x2ea6, 0x2ea0,
+  0x2e9a, 0x2e94, 0x2e8e, 0x2e89, 0x2e83, 0x2e7d, 0x2e77, 0x2e71,
+  0x2e6b, 0x2e65, 0x2e60, 0x2e5a, 0x2e54, 0x2e4e, 0x2e48, 0x2e42,
+  0x2e3c, 0x2e37, 0x2e31, 0x2e2b, 0x2e25, 0x2e1f, 0x2e19, 0x2e13,
+  0x2e0e, 0x2e08, 0x2e02, 0x2dfc, 0x2df6, 0x2df0, 0x2dea, 0x2de5,
+  0x2ddf, 0x2dd9, 0x2dd3, 0x2dcd, 0x2dc7, 0x2dc1, 0x2dbb, 0x2db6,
+  0x2db0, 0x2daa, 0x2da4, 0x2d9e, 0x2d98, 0x2d92, 0x2d8d, 0x2d87,
+  0x2d81, 0x2d7b, 0x2d75, 0x2d6f, 0x2d69, 0x2d63, 0x2d5e, 0x2d58,
+  0x2d52, 0x2d4c, 0x2d46, 0x2d40, 0x2d3a, 0x2d34, 0x2d2f, 0x2d29,
+  0x2d23, 0x2d1d, 0x2d17, 0x2d11, 0x2d0b, 0x2d05, 0x2cff, 0x2cfa,
+  0x2cf4, 0x2cee, 0x2ce8, 0x2ce2, 0x2cdc, 0x2cd6, 0x2cd0, 0x2ccb,
+  0x2cc5, 0x2cbf, 0x2cb9, 0x2cb3, 0x2cad, 0x2ca7, 0x2ca1, 0x2c9b,
+  0x2c96, 0x2c90, 0x2c8a, 0x2c84, 0x2c7e, 0x2c78, 0x2c72, 0x2c6c,
+  0x2c66, 0x2c61, 0x2c5b, 0x2c55, 0x2c4f, 0x2c49, 0x2c43, 0x2c3d,
+  0x2c37, 0x2c31, 0x2c2b, 0x2c26, 0x2c20, 0x2c1a, 0x2c14, 0x2c0e,
+  0x2c08, 0x2c02, 0x2bfc, 0x2bf6, 0x2bf0, 0x2beb, 0x2be5, 0x2bdf,
+  0x2bd9, 0x2bd3, 0x2bcd, 0x2bc7, 0x2bc1, 0x2bbb, 0x2bb5, 0x2bb0,
+  0x2baa, 0x2ba4, 0x2b9e, 0x2b98, 0x2b92, 0x2b8c, 0x2b86, 0x2b80,
+  0x2b7a, 0x2b74, 0x2b6f, 0x2b69, 0x2b63, 0x2b5d, 0x2b57, 0x2b51,
+  0x2b4b, 0x2b45, 0x2b3f, 0x2b39, 0x2b33, 0x2b2d, 0x2b28, 0x2b22,
+  0x2b1c, 0x2b16, 0x2b10, 0x2b0a, 0x2b04, 0x2afe, 0x2af8, 0x2af2,
+  0x2aec, 0x2ae6, 0x2ae1, 0x2adb, 0x2ad5, 0x2acf, 0x2ac9, 0x2ac3,
+  0x2abd, 0x2ab7, 0x2ab1, 0x2aab, 0x2aa5, 0x2a9f, 0x2a99, 0x2a94,
+  0x2a8e, 0x2a88, 0x2a82, 0x2a7c, 0x2a76, 0x2a70, 0x2a6a, 0x2a64,
+  0x2a5e, 0x2a58, 0x2a52, 0x2a4c, 0x2a47, 0x2a41, 0x2a3b, 0x2a35,
+  0x2a2f, 0x2a29, 0x2a23, 0x2a1d, 0x2a17, 0x2a11, 0x2a0b, 0x2a05,
+  0x29ff, 0x29f9, 0x29f3, 0x29ee, 0x29e8, 0x29e2, 0x29dc, 0x29d6,
+  0x29d0, 0x29ca, 0x29c4, 0x29be, 0x29b8, 0x29b2, 0x29ac, 0x29a6,
+  0x29a0, 0x299a, 0x2994, 0x298e, 0x2989, 0x2983, 0x297d, 0x2977,
+  0x2971, 0x296b, 0x2965, 0x295f, 0x2959, 0x2953, 0x294d, 0x2947,
+  0x2941, 0x293b, 0x2935, 0x292f, 0x2929, 0x2923, 0x291d, 0x2918,
+  0x2912, 0x290c, 0x2906, 0x2900, 0x28fa, 0x28f4, 0x28ee, 0x28e8,
+  0x28e2, 0x28dc, 0x28d6, 0x28d0, 0x28ca, 0x28c4, 0x28be, 0x28b8,
+  0x28b2, 0x28ac, 0x28a6, 0x28a0, 0x289a, 0x2895, 0x288f, 0x2889,
+  0x2883, 0x287d, 0x2877, 0x2871, 0x286b, 0x2865, 0x285f, 0x2859,
+  0x2853, 0x284d, 0x2847, 0x2841, 0x283b, 0x2835, 0x282f, 0x2829,
+  0x2823, 0x281d, 0x2817, 0x2811, 0x280b, 0x2805, 0x27ff, 0x27f9,
+  0x27f3, 0x27ee, 0x27e8, 0x27e2, 0x27dc, 0x27d6, 0x27d0, 0x27ca,
+  0x27c4, 0x27be, 0x27b8, 0x27b2, 0x27ac, 0x27a6, 0x27a0, 0x279a,
+  0x2794, 0x278e, 0x2788, 0x2782, 0x277c, 0x2776, 0x2770, 0x276a,
+  0x2764, 0x275e, 0x2758, 0x2752, 0x274c, 0x2746, 0x2740, 0x273a,
+  0x2734, 0x272e, 0x2728, 0x2722, 0x271c, 0x2716, 0x2710, 0x270a,
+  0x2704, 0x26fe, 0x26f8, 0x26f2, 0x26ec, 0x26e7, 0x26e1, 0x26db,
+  0x26d5, 0x26cf, 0x26c9, 0x26c3, 0x26bd, 0x26b7, 0x26b1, 0x26ab,
+  0x26a5, 0x269f, 0x2699, 0x2693, 0x268d, 0x2687, 0x2681, 0x267b,
+  0x2675, 0x266f, 0x2669, 0x2663, 0x265d, 0x2657, 0x2651, 0x264b,
+  0x2645, 0x263f, 0x2639, 0x2633, 0x262d, 0x2627, 0x2621, 0x261b,
+  0x2615, 0x260f, 0x2609, 0x2603, 0x25fd, 0x25f7, 0x25f1, 0x25eb,
+  0x25e5, 0x25df, 0x25d9, 0x25d3, 0x25cd, 0x25c7, 0x25c1, 0x25bb,
+  0x25b5, 0x25af, 0x25a9, 0x25a3, 0x259d, 0x2597, 0x2591, 0x258b,
+  0x2585, 0x257f, 0x2579, 0x2573, 0x256d, 0x2567, 0x2561, 0x255b,
+  0x2555, 0x254f, 0x2549, 0x2543, 0x253d, 0x2537, 0x2531, 0x252b,
+  0x2525, 0x251f, 0x2519, 0x2513, 0x250c, 0x2506, 0x2500, 0x24fa,
+  0x24f4, 0x24ee, 0x24e8, 0x24e2, 0x24dc, 0x24d6, 0x24d0, 0x24ca,
+  0x24c4, 0x24be, 0x24b8, 0x24b2, 0x24ac, 0x24a6, 0x24a0, 0x249a,
+  0x2494, 0x248e, 0x2488, 0x2482, 0x247c, 0x2476, 0x2470, 0x246a,
+  0x2464, 0x245e, 0x2458, 0x2452, 0x244c, 0x2446, 0x2440, 0x243a,
+  0x2434, 0x242e, 0x2428, 0x2422, 0x241c, 0x2416, 0x2410, 0x240a,
+  0x2404, 0x23fd, 0x23f7, 0x23f1, 0x23eb, 0x23e5, 0x23df, 0x23d9,
+  0x23d3, 0x23cd, 0x23c7, 0x23c1, 0x23bb, 0x23b5, 0x23af, 0x23a9,
+  0x23a3, 0x239d, 0x2397, 0x2391, 0x238b, 0x2385, 0x237f, 0x2379,
+  0x2373, 0x236d, 0x2367, 0x2361, 0x235b, 0x2355, 0x234e, 0x2348,
+  0x2342, 0x233c, 0x2336, 0x2330, 0x232a, 0x2324, 0x231e, 0x2318,
+  0x2312, 0x230c, 0x2306, 0x2300, 0x22fa, 0x22f4, 0x22ee, 0x22e8,
+  0x22e2, 0x22dc, 0x22d6, 0x22d0, 0x22ca, 0x22c4, 0x22bd, 0x22b7,
+  0x22b1, 0x22ab, 0x22a5, 0x229f, 0x2299, 0x2293, 0x228d, 0x2287,
+  0x2281, 0x227b, 0x2275, 0x226f, 0x2269, 0x2263, 0x225d, 0x2257,
+  0x2251, 0x224a, 0x2244, 0x223e, 0x2238, 0x2232, 0x222c, 0x2226,
+  0x2220, 0x221a, 0x2214, 0x220e, 0x2208, 0x2202, 0x21fc, 0x21f6,
+  0x21f0, 0x21ea, 0x21e4, 0x21dd, 0x21d7, 0x21d1, 0x21cb, 0x21c5,
+  0x21bf, 0x21b9, 0x21b3, 0x21ad, 0x21a7, 0x21a1, 0x219b, 0x2195,
+  0x218f, 0x2189, 0x2183, 0x217c, 0x2176, 0x2170, 0x216a, 0x2164,
+  0x215e, 0x2158, 0x2152, 0x214c, 0x2146, 0x2140, 0x213a, 0x2134,
+  0x212e, 0x2128, 0x2121, 0x211b, 0x2115, 0x210f, 0x2109, 0x2103,
+  0x20fd, 0x20f7, 0x20f1, 0x20eb, 0x20e5, 0x20df, 0x20d9, 0x20d3,
+  0x20cc, 0x20c6, 0x20c0, 0x20ba, 0x20b4, 0x20ae, 0x20a8, 0x20a2,
+  0x209c, 0x2096, 0x2090, 0x208a, 0x2084, 0x207e, 0x2077, 0x2071,
+  0x206b, 0x2065, 0x205f, 0x2059, 0x2053, 0x204d, 0x2047, 0x2041,
+  0x203b, 0x2035, 0x202e, 0x2028, 0x2022, 0x201c, 0x2016, 0x2010,
+  0x200a, 0x2004, 0x1ffe, 0x1ff8, 0x1ff2, 0x1fec, 0x1fe5, 0x1fdf,
+  0x1fd9, 0x1fd3, 0x1fcd, 0x1fc7, 0x1fc1, 0x1fbb, 0x1fb5, 0x1faf,
+  0x1fa9, 0x1fa3, 0x1f9c, 0x1f96, 0x1f90, 0x1f8a, 0x1f84, 0x1f7e,
+  0x1f78, 0x1f72, 0x1f6c, 0x1f66, 0x1f60, 0x1f59, 0x1f53, 0x1f4d,
+  0x1f47, 0x1f41, 0x1f3b, 0x1f35, 0x1f2f, 0x1f29, 0x1f23, 0x1f1d,
+  0x1f16, 0x1f10, 0x1f0a, 0x1f04, 0x1efe, 0x1ef8, 0x1ef2, 0x1eec,
+  0x1ee6, 0x1ee0, 0x1ed9, 0x1ed3, 0x1ecd, 0x1ec7, 0x1ec1, 0x1ebb,
+  0x1eb5, 0x1eaf, 0x1ea9, 0x1ea3, 0x1e9c, 0x1e96, 0x1e90, 0x1e8a,
+  0x1e84, 0x1e7e, 0x1e78, 0x1e72, 0x1e6c, 0x1e66, 0x1e5f, 0x1e59,
+  0x1e53, 0x1e4d, 0x1e47, 0x1e41, 0x1e3b, 0x1e35, 0x1e2f, 0x1e29,
+  0x1e22, 0x1e1c, 0x1e16, 0x1e10, 0x1e0a, 0x1e04, 0x1dfe, 0x1df8,
+  0x1df2, 0x1deb, 0x1de5, 0x1ddf, 0x1dd9, 0x1dd3, 0x1dcd, 0x1dc7,
+  0x1dc1, 0x1dbb, 0x1db4, 0x1dae, 0x1da8, 0x1da2, 0x1d9c, 0x1d96,
+  0x1d90, 0x1d8a, 0x1d84, 0x1d7d, 0x1d77, 0x1d71, 0x1d6b, 0x1d65,
+  0x1d5f, 0x1d59, 0x1d53, 0x1d4c, 0x1d46, 0x1d40, 0x1d3a, 0x1d34,
+  0x1d2e, 0x1d28, 0x1d22, 0x1d1c, 0x1d15, 0x1d0f, 0x1d09, 0x1d03,
+  0x1cfd, 0x1cf7, 0x1cf1, 0x1ceb, 0x1ce4, 0x1cde, 0x1cd8, 0x1cd2,
+  0x1ccc, 0x1cc6, 0x1cc0, 0x1cba, 0x1cb3, 0x1cad, 0x1ca7, 0x1ca1,
+  0x1c9b, 0x1c95, 0x1c8f, 0x1c89, 0x1c83, 0x1c7c, 0x1c76, 0x1c70,
+  0x1c6a, 0x1c64, 0x1c5e, 0x1c58, 0x1c51, 0x1c4b, 0x1c45, 0x1c3f,
+  0x1c39, 0x1c33, 0x1c2d, 0x1c27, 0x1c20, 0x1c1a, 0x1c14, 0x1c0e,
+  0x1c08, 0x1c02, 0x1bfc, 0x1bf6, 0x1bef, 0x1be9, 0x1be3, 0x1bdd,
+  0x1bd7, 0x1bd1, 0x1bcb, 0x1bc4, 0x1bbe, 0x1bb8, 0x1bb2, 0x1bac,
+  0x1ba6, 0x1ba0, 0x1b9a, 0x1b93, 0x1b8d, 0x1b87, 0x1b81, 0x1b7b,
+  0x1b75, 0x1b6f, 0x1b68, 0x1b62, 0x1b5c, 0x1b56, 0x1b50, 0x1b4a,
+  0x1b44, 0x1b3d, 0x1b37, 0x1b31, 0x1b2b, 0x1b25, 0x1b1f, 0x1b19,
+  0x1b13, 0x1b0c, 0x1b06, 0x1b00, 0x1afa, 0x1af4, 0x1aee, 0x1ae8,
+  0x1ae1, 0x1adb, 0x1ad5, 0x1acf, 0x1ac9, 0x1ac3, 0x1abd, 0x1ab6,
+  0x1ab0, 0x1aaa, 0x1aa4, 0x1a9e, 0x1a98, 0x1a91, 0x1a8b, 0x1a85,
+  0x1a7f, 0x1a79, 0x1a73, 0x1a6d, 0x1a66, 0x1a60, 0x1a5a, 0x1a54,
+  0x1a4e, 0x1a48, 0x1a42, 0x1a3b, 0x1a35, 0x1a2f, 0x1a29, 0x1a23,
+  0x1a1d, 0x1a17, 0x1a10, 0x1a0a, 0x1a04, 0x19fe, 0x19f8, 0x19f2,
+  0x19eb, 0x19e5, 0x19df, 0x19d9, 0x19d3, 0x19cd, 0x19c7, 0x19c0,
+  0x19ba, 0x19b4, 0x19ae, 0x19a8, 0x19a2, 0x199b, 0x1995, 0x198f,
+  0x1989, 0x1983, 0x197d, 0x1977, 0x1970, 0x196a, 0x1964, 0x195e,
+  0x1958, 0x1952, 0x194b, 0x1945, 0x193f, 0x1939, 0x1933, 0x192d,
+  0x1926, 0x1920, 0x191a, 0x1914, 0x190e, 0x1908, 0x1901, 0x18fb,
+  0x18f5, 0x18ef, 0x18e9, 0x18e3, 0x18dc, 0x18d6, 0x18d0, 0x18ca,
+  0x18c4, 0x18be, 0x18b8, 0x18b1, 0x18ab, 0x18a5, 0x189f, 0x1899,
+  0x1893, 0x188c, 0x1886, 0x1880, 0x187a, 0x1874, 0x186e, 0x1867,
+  0x1861, 0x185b, 0x1855, 0x184f, 0x1848, 0x1842, 0x183c, 0x1836,
+  0x1830, 0x182a, 0x1823, 0x181d, 0x1817, 0x1811, 0x180b, 0x1805,
+  0x17fe, 0x17f8, 0x17f2, 0x17ec, 0x17e6, 0x17e0, 0x17d9, 0x17d3,
+  0x17cd, 0x17c7, 0x17c1, 0x17bb, 0x17b4, 0x17ae, 0x17a8, 0x17a2,
+  0x179c, 0x1795, 0x178f, 0x1789, 0x1783, 0x177d, 0x1777, 0x1770,
+  0x176a, 0x1764, 0x175e, 0x1758, 0x1752, 0x174b, 0x1745, 0x173f,
+  0x1739, 0x1733, 0x172c, 0x1726, 0x1720, 0x171a, 0x1714, 0x170e,
+  0x1707, 0x1701, 0x16fb, 0x16f5, 0x16ef, 0x16e8, 0x16e2, 0x16dc,
+  0x16d6, 0x16d0, 0x16ca, 0x16c3, 0x16bd, 0x16b7, 0x16b1, 0x16ab,
+  0x16a4, 0x169e, 0x1698, 0x1692, 0x168c, 0x1686, 0x167f, 0x1679,
+  0x1673, 0x166d, 0x1667, 0x1660, 0x165a, 0x1654, 0x164e, 0x1648,
+  0x1642, 0x163b, 0x1635, 0x162f, 0x1629, 0x1623, 0x161c, 0x1616,
+  0x1610, 0x160a, 0x1604, 0x15fd, 0x15f7, 0x15f1, 0x15eb, 0x15e5,
+  0x15de, 0x15d8, 0x15d2, 0x15cc, 0x15c6, 0x15c0, 0x15b9, 0x15b3,
+  0x15ad, 0x15a7, 0x15a1, 0x159a, 0x1594, 0x158e, 0x1588, 0x1582,
+  0x157b, 0x1575, 0x156f, 0x1569, 0x1563, 0x155c, 0x1556, 0x1550,
+  0x154a, 0x1544, 0x153d, 0x1537, 0x1531, 0x152b, 0x1525, 0x151e,
+  0x1518, 0x1512, 0x150c, 0x1506, 0x14ff, 0x14f9, 0x14f3, 0x14ed,
+  0x14e7, 0x14e0, 0x14da, 0x14d4, 0x14ce, 0x14c8, 0x14c1, 0x14bb,
+  0x14b5, 0x14af, 0x14a9, 0x14a2, 0x149c, 0x1496, 0x1490, 0x148a,
+  0x1483, 0x147d, 0x1477, 0x1471, 0x146b, 0x1464, 0x145e, 0x1458,
+  0x1452, 0x144c, 0x1445, 0x143f, 0x1439, 0x1433, 0x142d, 0x1426,
+  0x1420, 0x141a, 0x1414, 0x140e, 0x1407, 0x1401, 0x13fb, 0x13f5,
+  0x13ef, 0x13e8, 0x13e2, 0x13dc, 0x13d6, 0x13d0, 0x13c9, 0x13c3,
+  0x13bd, 0x13b7, 0x13b1, 0x13aa, 0x13a4, 0x139e, 0x1398, 0x1391,
+  0x138b, 0x1385, 0x137f, 0x1379, 0x1372, 0x136c, 0x1366, 0x1360,
+  0x135a, 0x1353, 0x134d, 0x1347, 0x1341, 0x133b, 0x1334, 0x132e,
+  0x1328, 0x1322, 0x131b, 0x1315, 0x130f, 0x1309, 0x1303, 0x12fc,
+  0x12f6, 0x12f0, 0x12ea, 0x12e4, 0x12dd, 0x12d7, 0x12d1, 0x12cb,
+  0x12c4, 0x12be, 0x12b8, 0x12b2, 0x12ac, 0x12a5, 0x129f, 0x1299,
+  0x1293, 0x128d, 0x1286, 0x1280, 0x127a, 0x1274, 0x126d, 0x1267,
+  0x1261, 0x125b, 0x1255, 0x124e, 0x1248, 0x1242, 0x123c, 0x1235,
+  0x122f, 0x1229, 0x1223, 0x121d, 0x1216, 0x1210, 0x120a, 0x1204,
+  0x11fd, 0x11f7, 0x11f1, 0x11eb, 0x11e5, 0x11de, 0x11d8, 0x11d2,
+  0x11cc, 0x11c5, 0x11bf, 0x11b9, 0x11b3, 0x11ad, 0x11a6, 0x11a0,
+  0x119a, 0x1194, 0x118d, 0x1187, 0x1181, 0x117b, 0x1175, 0x116e,
+  0x1168, 0x1162, 0x115c, 0x1155, 0x114f, 0x1149, 0x1143, 0x113d,
+  0x1136, 0x1130, 0x112a, 0x1124, 0x111d, 0x1117, 0x1111, 0x110b,
+  0x1105, 0x10fe, 0x10f8, 0x10f2, 0x10ec, 0x10e5, 0x10df, 0x10d9,
+  0x10d3, 0x10cc, 0x10c6, 0x10c0, 0x10ba, 0x10b4, 0x10ad, 0x10a7,
+  0x10a1, 0x109b, 0x1094, 0x108e, 0x1088, 0x1082, 0x107b, 0x1075,
+  0x106f, 0x1069, 0x1063, 0x105c, 0x1056, 0x1050, 0x104a, 0x1043,
+  0x103d, 0x1037, 0x1031, 0x102a, 0x1024, 0x101e, 0x1018, 0x1012,
+  0x100b, 0x1005, 0xfff, 0xff9, 0xff2, 0xfec, 0xfe6, 0xfe0,
+  0xfd9, 0xfd3, 0xfcd, 0xfc7, 0xfc0, 0xfba, 0xfb4, 0xfae,
+  0xfa8, 0xfa1, 0xf9b, 0xf95, 0xf8f, 0xf88, 0xf82, 0xf7c,
+  0xf76, 0xf6f, 0xf69, 0xf63, 0xf5d, 0xf56, 0xf50, 0xf4a,
+  0xf44, 0xf3e, 0xf37, 0xf31, 0xf2b, 0xf25, 0xf1e, 0xf18,
+  0xf12, 0xf0c, 0xf05, 0xeff, 0xef9, 0xef3, 0xeec, 0xee6,
+  0xee0, 0xeda, 0xed3, 0xecd, 0xec7, 0xec1, 0xeba, 0xeb4,
+  0xeae, 0xea8, 0xea1, 0xe9b, 0xe95, 0xe8f, 0xe89, 0xe82,
+  0xe7c, 0xe76, 0xe70, 0xe69, 0xe63, 0xe5d, 0xe57, 0xe50,
+  0xe4a, 0xe44, 0xe3e, 0xe37, 0xe31, 0xe2b, 0xe25, 0xe1e,
+  0xe18, 0xe12, 0xe0c, 0xe05, 0xdff, 0xdf9, 0xdf3, 0xdec,
+  0xde6, 0xde0, 0xdda, 0xdd3, 0xdcd, 0xdc7, 0xdc1, 0xdba,
+  0xdb4, 0xdae, 0xda8, 0xda1, 0xd9b, 0xd95, 0xd8f, 0xd88,
+  0xd82, 0xd7c, 0xd76, 0xd6f, 0xd69, 0xd63, 0xd5d, 0xd56,
+  0xd50, 0xd4a, 0xd44, 0xd3d, 0xd37, 0xd31, 0xd2b, 0xd24,
+  0xd1e, 0xd18, 0xd12, 0xd0b, 0xd05, 0xcff, 0xcf9, 0xcf2,
+  0xcec, 0xce6, 0xce0, 0xcd9, 0xcd3, 0xccd, 0xcc7, 0xcc0,
+  0xcba, 0xcb4, 0xcae, 0xca7, 0xca1, 0xc9b, 0xc95, 0xc8e,
+  0xc88, 0xc82, 0xc7c, 0xc75, 0xc6f, 0xc69, 0xc63, 0xc5c,
+  0xc56, 0xc50, 0xc4a, 0xc43, 0xc3d, 0xc37, 0xc31, 0xc2a,
+  0xc24, 0xc1e, 0xc18, 0xc11, 0xc0b, 0xc05, 0xbff, 0xbf8,
+  0xbf2, 0xbec, 0xbe6, 0xbdf, 0xbd9, 0xbd3, 0xbcd, 0xbc6,
+  0xbc0, 0xbba, 0xbb4, 0xbad, 0xba7, 0xba1, 0xb9b, 0xb94,
+  0xb8e, 0xb88, 0xb81, 0xb7b, 0xb75, 0xb6f, 0xb68, 0xb62,
+  0xb5c, 0xb56, 0xb4f, 0xb49, 0xb43, 0xb3d, 0xb36, 0xb30,
+  0xb2a, 0xb24, 0xb1d, 0xb17, 0xb11, 0xb0b, 0xb04, 0xafe,
+  0xaf8, 0xaf2, 0xaeb, 0xae5, 0xadf, 0xad8, 0xad2, 0xacc,
+  0xac6, 0xabf, 0xab9, 0xab3, 0xaad, 0xaa6, 0xaa0, 0xa9a,
+  0xa94, 0xa8d, 0xa87, 0xa81, 0xa7b, 0xa74, 0xa6e, 0xa68,
+  0xa62, 0xa5b, 0xa55, 0xa4f, 0xa48, 0xa42, 0xa3c, 0xa36,
+  0xa2f, 0xa29, 0xa23, 0xa1d, 0xa16, 0xa10, 0xa0a, 0xa04,
+  0x9fd, 0x9f7, 0x9f1, 0x9eb, 0x9e4, 0x9de, 0x9d8, 0x9d1,
+  0x9cb, 0x9c5, 0x9bf, 0x9b8, 0x9b2, 0x9ac, 0x9a6, 0x99f,
+  0x999, 0x993, 0x98d, 0x986, 0x980, 0x97a, 0x973, 0x96d,
+  0x967, 0x961, 0x95a, 0x954, 0x94e, 0x948, 0x941, 0x93b,
+  0x935, 0x92f, 0x928, 0x922, 0x91c, 0x915, 0x90f, 0x909,
+  0x903, 0x8fc, 0x8f6, 0x8f0, 0x8ea, 0x8e3, 0x8dd, 0x8d7,
+  0x8d1, 0x8ca, 0x8c4, 0x8be, 0x8b7, 0x8b1, 0x8ab, 0x8a5,
+  0x89e, 0x898, 0x892, 0x88c, 0x885, 0x87f, 0x879, 0x872,
+  0x86c, 0x866, 0x860, 0x859, 0x853, 0x84d, 0x847, 0x840,
+  0x83a, 0x834, 0x82e, 0x827, 0x821, 0x81b, 0x814, 0x80e,
+  0x808, 0x802, 0x7fb, 0x7f5, 0x7ef, 0x7e9, 0x7e2, 0x7dc,
+  0x7d6, 0x7cf, 0x7c9, 0x7c3, 0x7bd, 0x7b6, 0x7b0, 0x7aa,
+  0x7a4, 0x79d, 0x797, 0x791, 0x78a, 0x784, 0x77e, 0x778,
+  0x771, 0x76b, 0x765, 0x75f, 0x758, 0x752, 0x74c, 0x745,
+  0x73f, 0x739, 0x733, 0x72c, 0x726, 0x720, 0x71a, 0x713,
+  0x70d, 0x707, 0x700, 0x6fa, 0x6f4, 0x6ee, 0x6e7, 0x6e1,
+  0x6db, 0x6d5, 0x6ce, 0x6c8, 0x6c2, 0x6bb, 0x6b5, 0x6af,
+  0x6a9, 0x6a2, 0x69c, 0x696, 0x690, 0x689, 0x683, 0x67d,
+  0x676, 0x670, 0x66a, 0x664, 0x65d, 0x657, 0x651, 0x64a,
+  0x644, 0x63e, 0x638, 0x631, 0x62b, 0x625, 0x61f, 0x618,
+  0x612, 0x60c, 0x605, 0x5ff, 0x5f9, 0x5f3, 0x5ec, 0x5e6,
+  0x5e0, 0x5da, 0x5d3, 0x5cd, 0x5c7, 0x5c0, 0x5ba, 0x5b4,
+  0x5ae, 0x5a7, 0x5a1, 0x59b, 0x594, 0x58e, 0x588, 0x582,
+  0x57b, 0x575, 0x56f, 0x569, 0x562, 0x55c, 0x556, 0x54f,
+  0x549, 0x543, 0x53d, 0x536, 0x530, 0x52a, 0x523, 0x51d,
+  0x517, 0x511, 0x50a, 0x504, 0x4fe, 0x4f8, 0x4f1, 0x4eb,
+  0x4e5, 0x4de, 0x4d8, 0x4d2, 0x4cc, 0x4c5, 0x4bf, 0x4b9,
+  0x4b2, 0x4ac, 0x4a6, 0x4a0, 0x499, 0x493, 0x48d, 0x487,
+  0x480, 0x47a, 0x474, 0x46d, 0x467, 0x461, 0x45b, 0x454,
+  0x44e, 0x448, 0x441, 0x43b, 0x435, 0x42f, 0x428, 0x422,
+  0x41c, 0x415, 0x40f, 0x409, 0x403, 0x3fc, 0x3f6, 0x3f0,
+  0x3ea, 0x3e3, 0x3dd, 0x3d7, 0x3d0, 0x3ca, 0x3c4, 0x3be,
+  0x3b7, 0x3b1, 0x3ab, 0x3a4, 0x39e, 0x398, 0x392, 0x38b,
+  0x385, 0x37f, 0x378, 0x372, 0x36c, 0x366, 0x35f, 0x359,
+  0x353, 0x34c, 0x346, 0x340, 0x33a, 0x333, 0x32d, 0x327,
+  0x321, 0x31a, 0x314, 0x30e, 0x307, 0x301, 0x2fb, 0x2f5,
+  0x2ee, 0x2e8, 0x2e2, 0x2db, 0x2d5, 0x2cf, 0x2c9, 0x2c2,
+  0x2bc, 0x2b6, 0x2af, 0x2a9, 0x2a3, 0x29d, 0x296, 0x290,
+  0x28a, 0x283, 0x27d, 0x277, 0x271, 0x26a, 0x264, 0x25e,
+  0x258, 0x251, 0x24b, 0x245, 0x23e, 0x238, 0x232, 0x22c,
+  0x225, 0x21f, 0x219, 0x212, 0x20c, 0x206, 0x200, 0x1f9,
+  0x1f3, 0x1ed, 0x1e6, 0x1e0, 0x1da, 0x1d4, 0x1cd, 0x1c7,
+  0x1c1, 0x1ba, 0x1b4, 0x1ae, 0x1a8, 0x1a1, 0x19b, 0x195,
+  0x18e, 0x188, 0x182, 0x17c, 0x175, 0x16f, 0x169, 0x162,
+  0x15c, 0x156, 0x150, 0x149, 0x143, 0x13d, 0x137, 0x130,
+  0x12a, 0x124, 0x11d, 0x117, 0x111, 0x10b, 0x104, 0xfe,
+  0xf8, 0xf1, 0xeb, 0xe5, 0xdf, 0xd8, 0xd2, 0xcc,
+  0xc5, 0xbf, 0xb9, 0xb3, 0xac, 0xa6, 0xa0, 0x99,
+  0x93, 0x8d, 0x87, 0x80, 0x7a, 0x74, 0x6d, 0x67,
+  0x61, 0x5b, 0x54, 0x4e, 0x48, 0x41, 0x3b, 0x35,
+  0x2f, 0x28, 0x22, 0x1c, 0x15, 0xf, 0x9, 0x3,
+};
+
+/**    
+ * @brief  Initialization function for the Q15 DCT4/IDCT4.   
+ * @param[in,out] *S         points to an instance of Q15 DCT4/IDCT4 structure.   
+ * @param[in]     *S_RFFT    points to an instance of Q15 RFFT/RIFFT structure.   
+ * @param[in]     *S_CFFT    points to an instance of Q15 CFFT/CIFFT structure.   
+ * @param[in]     N          length of the DCT4.   
+ * @param[in]     Nby2       half of the length of the DCT4.   
+ * @param[in]     normalize  normalizing factor.   
+ * @return  	  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.   
+ * \par Normalizing factor:    
+ * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.    
+ * Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:    
+ * \image html dct4NormalizingQ15Table.gif    
+ */
+
+arm_status arm_dct4_init_q15(
+  arm_dct4_instance_q15 * S,
+  arm_rfft_instance_q15 * S_RFFT,
+  arm_cfft_radix4_instance_q15 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q15_t normalize)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /* Initializing the pointer array with the weight table base addresses of different lengths */
+  q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512,
+    (q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192
+  };
+
+  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
+  q15_t *pCosFactor[4] =
+    { (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512,
+    (q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192
+  };
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+    /* Initialize the table modifier values */
+  case 8192u:
+    S->pTwiddle = twiddlePtr[3];
+    S->pCosFactor = pCosFactor[3];
+    break;
+  case 2048u:
+    S->pTwiddle = twiddlePtr[2];
+    S->pCosFactor = pCosFactor[2];
+    break;
+  case 512u:
+    S->pTwiddle = twiddlePtr[1];
+    S->pCosFactor = pCosFactor[1];
+    break;
+  case 128u:
+    S->pTwiddle = twiddlePtr[0];
+    S->pCosFactor = pCosFactor[0];
+    break;
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT */
+  arm_rfft_init_q15(S->pRfft, S->N, 0u, 1u);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
new file mode 100644
index 0000000..1aa9081
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_init_q31.c
@@ -0,0 +1,8364 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_init_q31.c    
+*    
+* Description:	Initialization function of DCT-4 & IDCT4 Q31    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/*    
+* @brief  Weights Table    
+*/
+
+/**    
+* \par    
+* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>    
+* \par    
+* C command to generate the table    
+* <pre>    
+* for(i = 0; i< N; i++)    
+* {    
+*   weights[2*i]= cos(i*c);    
+*   weights[(2*i)+1]= -sin(i * c);    
+* } </pre>    
+* \par    
+* where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>    
+* \par    
+* Convert the output to q31 format by multiplying with 2^31 and saturated if required.    
+* \par    
+* In the tables below the real and imaginary values are placed alternatively, hence the    
+* array length is <code>2*N</code>.    
+*/
+
+static const q31_t WeightsQ31_128[256] = {
+  0x7fffffff, 0x0, 0x7ffd885a, 0xfe6de2e0, 0x7ff62182, 0xfcdbd541, 0x7fe9cbc0,
+  0xfb49e6a3,
+  0x7fd8878e, 0xf9b82684, 0x7fc25596, 0xf826a462, 0x7fa736b4, 0xf6956fb7,
+  0x7f872bf3, 0xf50497fb,
+  0x7f62368f, 0xf3742ca2, 0x7f3857f6, 0xf1e43d1c, 0x7f0991c4, 0xf054d8d5,
+  0x7ed5e5c6, 0xeec60f31,
+  0x7e9d55fc, 0xed37ef91, 0x7e5fe493, 0xebaa894f, 0x7e1d93ea, 0xea1debbb,
+  0x7dd6668f, 0xe8922622,
+  0x7d8a5f40, 0xe70747c4, 0x7d3980ec, 0xe57d5fda, 0x7ce3ceb2, 0xe3f47d96,
+  0x7c894bde, 0xe26cb01b,
+  0x7c29fbee, 0xe0e60685, 0x7bc5e290, 0xdf608fe4, 0x7b5d039e, 0xdddc5b3b,
+  0x7aef6323, 0xdc597781,
+  0x7a7d055b, 0xdad7f3a2, 0x7a05eead, 0xd957de7a, 0x798a23b1, 0xd7d946d8,
+  0x7909a92d, 0xd65c3b7b,
+  0x78848414, 0xd4e0cb15, 0x77fab989, 0xd3670446, 0x776c4edb, 0xd1eef59e,
+  0x76d94989, 0xd078ad9e,
+  0x7641af3d, 0xcf043ab3, 0x75a585cf, 0xcd91ab39, 0x7504d345, 0xcc210d79,
+  0x745f9dd1, 0xcab26fa9,
+  0x73b5ebd1, 0xc945dfec, 0x7307c3d0, 0xc7db6c50, 0x72552c85, 0xc67322ce,
+  0x719e2cd2, 0xc50d1149,
+  0x70e2cbc6, 0xc3a94590, 0x7023109a, 0xc247cd5a, 0x6f5f02b2, 0xc0e8b648,
+  0x6e96a99d, 0xbf8c0de3,
+  0x6dca0d14, 0xbe31e19b, 0x6cf934fc, 0xbcda3ecb, 0x6c242960, 0xbb8532b0,
+  0x6b4af279, 0xba32ca71,
+  0x6a6d98a4, 0xb8e31319, 0x698c246c, 0xb796199b, 0x68a69e81, 0xb64beacd,
+  0x67bd0fbd, 0xb5049368,
+  0x66cf8120, 0xb3c0200c, 0x65ddfbd3, 0xb27e9d3c, 0x64e88926, 0xb140175b,
+  0x63ef3290, 0xb0049ab3,
+  0x62f201ac, 0xaecc336c, 0x61f1003f, 0xad96ed92, 0x60ec3830, 0xac64d510,
+  0x5fe3b38d, 0xab35f5b5,
+  0x5ed77c8a, 0xaa0a5b2e, 0x5dc79d7c, 0xa8e21106, 0x5cb420e0, 0xa7bd22ac,
+  0x5b9d1154, 0xa69b9b68,
+  0x5a82799a, 0xa57d8666, 0x59646498, 0xa462eeac, 0x5842dd54, 0xa34bdf20,
+  0x571deefa, 0xa2386284,
+  0x55f5a4d2, 0xa1288376, 0x54ca0a4b, 0xa01c4c73, 0x539b2af0, 0x9f13c7d0,
+  0x5269126e, 0x9e0effc1,
+  0x5133cc94, 0x9d0dfe54, 0x4ffb654d, 0x9c10cd70, 0x4ebfe8a5, 0x9b1776da,
+  0x4d8162c4, 0x9a22042d,
+  0x4c3fdff4, 0x99307ee0, 0x4afb6c98, 0x9842f043, 0x49b41533, 0x9759617f,
+  0x4869e665, 0x9673db94,
+  0x471cece7, 0x9592675c, 0x45cd358f, 0x94b50d87, 0x447acd50, 0x93dbd6a0,
+  0x4325c135, 0x9306cb04,
+  0x41ce1e65, 0x9235f2ec, 0x4073f21d, 0x91695663, 0x3f1749b8, 0x90a0fd4e,
+  0x3db832a6, 0x8fdcef66,
+  0x3c56ba70, 0x8f1d343a, 0x3af2eeb7, 0x8e61d32e, 0x398cdd32, 0x8daad37b,
+  0x382493b0, 0x8cf83c30,
+  0x36ba2014, 0x8c4a142f, 0x354d9057, 0x8ba0622f, 0x33def287, 0x8afb2cbb,
+  0x326e54c7, 0x8a5a7a31,
+  0x30fbc54d, 0x89be50c3, 0x2f875262, 0x8926b677, 0x2e110a62, 0x8893b125,
+  0x2c98fbba, 0x88054677,
+  0x2b1f34eb, 0x877b7bec, 0x29a3c485, 0x86f656d3, 0x2826b928, 0x8675dc4f,
+  0x26a82186, 0x85fa1153,
+  0x25280c5e, 0x8582faa5, 0x23a6887f, 0x85109cdd, 0x2223a4c5, 0x84a2fc62,
+  0x209f701c, 0x843a1d70,
+  0x1f19f97b, 0x83d60412, 0x1d934fe5, 0x8376b422, 0x1c0b826a, 0x831c314e,
+  0x1a82a026, 0x82c67f14,
+  0x18f8b83c, 0x8275a0c0, 0x176dd9de, 0x82299971, 0x15e21445, 0x81e26c16,
+  0x145576b1, 0x81a01b6d,
+  0x12c8106f, 0x8162aa04, 0x1139f0cf, 0x812a1a3a, 0xfab272b, 0x80f66e3c,
+  0xe1bc2e4, 0x80c7a80a,
+  0xc8bd35e, 0x809dc971, 0xafb6805, 0x8078d40d, 0x96a9049, 0x8058c94c,
+  0x7d95b9e, 0x803daa6a,
+  0x647d97c, 0x80277872, 0x4b6195d, 0x80163440, 0x3242abf, 0x8009de7e,
+  0x1921d20, 0x800277a6,
+};
+
+static const q31_t WeightsQ31_512[1024] = {
+  0x7fffffff, 0x0, 0x7fffd886, 0xff9b781d, 0x7fff6216, 0xff36f078, 0x7ffe9cb2,
+  0xfed2694f,
+  0x7ffd885a, 0xfe6de2e0, 0x7ffc250f, 0xfe095d69, 0x7ffa72d1, 0xfda4d929,
+  0x7ff871a2, 0xfd40565c,
+  0x7ff62182, 0xfcdbd541, 0x7ff38274, 0xfc775616, 0x7ff09478, 0xfc12d91a,
+  0x7fed5791, 0xfbae5e89,
+  0x7fe9cbc0, 0xfb49e6a3, 0x7fe5f108, 0xfae571a4, 0x7fe1c76b, 0xfa80ffcb,
+  0x7fdd4eec, 0xfa1c9157,
+  0x7fd8878e, 0xf9b82684, 0x7fd37153, 0xf953bf91, 0x7fce0c3e, 0xf8ef5cbb,
+  0x7fc85854, 0xf88afe42,
+  0x7fc25596, 0xf826a462, 0x7fbc040a, 0xf7c24f59, 0x7fb563b3, 0xf75dff66,
+  0x7fae7495, 0xf6f9b4c6,
+  0x7fa736b4, 0xf6956fb7, 0x7f9faa15, 0xf6313077, 0x7f97cebd, 0xf5ccf743,
+  0x7f8fa4b0, 0xf568c45b,
+  0x7f872bf3, 0xf50497fb, 0x7f7e648c, 0xf4a07261, 0x7f754e80, 0xf43c53cb,
+  0x7f6be9d4, 0xf3d83c77,
+  0x7f62368f, 0xf3742ca2, 0x7f5834b7, 0xf310248a, 0x7f4de451, 0xf2ac246e,
+  0x7f434563, 0xf2482c8a,
+  0x7f3857f6, 0xf1e43d1c, 0x7f2d1c0e, 0xf1805662, 0x7f2191b4, 0xf11c789a,
+  0x7f15b8ee, 0xf0b8a401,
+  0x7f0991c4, 0xf054d8d5, 0x7efd1c3c, 0xeff11753, 0x7ef05860, 0xef8d5fb8,
+  0x7ee34636, 0xef29b243,
+  0x7ed5e5c6, 0xeec60f31, 0x7ec8371a, 0xee6276bf, 0x7eba3a39, 0xedfee92b,
+  0x7eabef2c, 0xed9b66b2,
+  0x7e9d55fc, 0xed37ef91, 0x7e8e6eb2, 0xecd48407, 0x7e7f3957, 0xec71244f,
+  0x7e6fb5f4, 0xec0dd0a8,
+  0x7e5fe493, 0xebaa894f, 0x7e4fc53e, 0xeb474e81, 0x7e3f57ff, 0xeae4207a,
+  0x7e2e9cdf, 0xea80ff7a,
+  0x7e1d93ea, 0xea1debbb, 0x7e0c3d29, 0xe9bae57d, 0x7dfa98a8, 0xe957ecfb,
+  0x7de8a670, 0xe8f50273,
+  0x7dd6668f, 0xe8922622, 0x7dc3d90d, 0xe82f5844, 0x7db0fdf8, 0xe7cc9917,
+  0x7d9dd55a, 0xe769e8d8,
+  0x7d8a5f40, 0xe70747c4, 0x7d769bb5, 0xe6a4b616, 0x7d628ac6, 0xe642340d,
+  0x7d4e2c7f, 0xe5dfc1e5,
+  0x7d3980ec, 0xe57d5fda, 0x7d24881b, 0xe51b0e2a, 0x7d0f4218, 0xe4b8cd11,
+  0x7cf9aef0, 0xe4569ccb,
+  0x7ce3ceb2, 0xe3f47d96, 0x7ccda169, 0xe3926fad, 0x7cb72724, 0xe330734d,
+  0x7ca05ff1, 0xe2ce88b3,
+  0x7c894bde, 0xe26cb01b, 0x7c71eaf9, 0xe20ae9c1, 0x7c5a3d50, 0xe1a935e2,
+  0x7c4242f2, 0xe14794ba,
+  0x7c29fbee, 0xe0e60685, 0x7c116853, 0xe0848b7f, 0x7bf88830, 0xe02323e5,
+  0x7bdf5b94, 0xdfc1cff3,
+  0x7bc5e290, 0xdf608fe4, 0x7bac1d31, 0xdeff63f4, 0x7b920b89, 0xde9e4c60,
+  0x7b77ada8, 0xde3d4964,
+  0x7b5d039e, 0xdddc5b3b, 0x7b420d7a, 0xdd7b8220, 0x7b26cb4f, 0xdd1abe51,
+  0x7b0b3d2c, 0xdcba1008,
+  0x7aef6323, 0xdc597781, 0x7ad33d45, 0xdbf8f4f8, 0x7ab6cba4, 0xdb9888a8,
+  0x7a9a0e50, 0xdb3832cd,
+  0x7a7d055b, 0xdad7f3a2, 0x7a5fb0d8, 0xda77cb63, 0x7a4210d8, 0xda17ba4a,
+  0x7a24256f, 0xd9b7c094,
+  0x7a05eead, 0xd957de7a, 0x79e76ca7, 0xd8f81439, 0x79c89f6e, 0xd898620c,
+  0x79a98715, 0xd838c82d,
+  0x798a23b1, 0xd7d946d8, 0x796a7554, 0xd779de47, 0x794a7c12, 0xd71a8eb5,
+  0x792a37fe, 0xd6bb585e,
+  0x7909a92d, 0xd65c3b7b, 0x78e8cfb2, 0xd5fd3848, 0x78c7aba2, 0xd59e4eff,
+  0x78a63d11, 0xd53f7fda,
+  0x78848414, 0xd4e0cb15, 0x786280bf, 0xd48230e9, 0x78403329, 0xd423b191,
+  0x781d9b65, 0xd3c54d47,
+  0x77fab989, 0xd3670446, 0x77d78daa, 0xd308d6c7, 0x77b417df, 0xd2aac504,
+  0x7790583e, 0xd24ccf39,
+  0x776c4edb, 0xd1eef59e, 0x7747fbce, 0xd191386e, 0x77235f2d, 0xd13397e2,
+  0x76fe790e, 0xd0d61434,
+  0x76d94989, 0xd078ad9e, 0x76b3d0b4, 0xd01b6459, 0x768e0ea6, 0xcfbe389f,
+  0x76680376, 0xcf612aaa,
+  0x7641af3d, 0xcf043ab3, 0x761b1211, 0xcea768f2, 0x75f42c0b, 0xce4ab5a2,
+  0x75ccfd42, 0xcdee20fc,
+  0x75a585cf, 0xcd91ab39, 0x757dc5ca, 0xcd355491, 0x7555bd4c, 0xccd91d3d,
+  0x752d6c6c, 0xcc7d0578,
+  0x7504d345, 0xcc210d79, 0x74dbf1ef, 0xcbc53579, 0x74b2c884, 0xcb697db0,
+  0x7489571c, 0xcb0de658,
+  0x745f9dd1, 0xcab26fa9, 0x74359cbd, 0xca5719db, 0x740b53fb, 0xc9fbe527,
+  0x73e0c3a3, 0xc9a0d1c5,
+  0x73b5ebd1, 0xc945dfec, 0x738acc9e, 0xc8eb0fd6, 0x735f6626, 0xc89061ba,
+  0x7333b883, 0xc835d5d0,
+  0x7307c3d0, 0xc7db6c50, 0x72db8828, 0xc7812572, 0x72af05a7, 0xc727016d,
+  0x72823c67, 0xc6cd0079,
+  0x72552c85, 0xc67322ce, 0x7227d61c, 0xc61968a2, 0x71fa3949, 0xc5bfd22e,
+  0x71cc5626, 0xc5665fa9,
+  0x719e2cd2, 0xc50d1149, 0x716fbd68, 0xc4b3e746, 0x71410805, 0xc45ae1d7,
+  0x71120cc5, 0xc4020133,
+  0x70e2cbc6, 0xc3a94590, 0x70b34525, 0xc350af26, 0x708378ff, 0xc2f83e2a,
+  0x70536771, 0xc29ff2d4,
+  0x7023109a, 0xc247cd5a, 0x6ff27497, 0xc1efcdf3, 0x6fc19385, 0xc197f4d4,
+  0x6f906d84, 0xc1404233,
+  0x6f5f02b2, 0xc0e8b648, 0x6f2d532c, 0xc0915148, 0x6efb5f12, 0xc03a1368,
+  0x6ec92683, 0xbfe2fcdf,
+  0x6e96a99d, 0xbf8c0de3, 0x6e63e87f, 0xbf3546a8, 0x6e30e34a, 0xbedea765,
+  0x6dfd9a1c, 0xbe88304f,
+  0x6dca0d14, 0xbe31e19b, 0x6d963c54, 0xbddbbb7f, 0x6d6227fa, 0xbd85be30,
+  0x6d2dd027, 0xbd2fe9e2,
+  0x6cf934fc, 0xbcda3ecb, 0x6cc45698, 0xbc84bd1f, 0x6c8f351c, 0xbc2f6513,
+  0x6c59d0a9, 0xbbda36dd,
+  0x6c242960, 0xbb8532b0, 0x6bee3f62, 0xbb3058c0, 0x6bb812d1, 0xbadba943,
+  0x6b81a3cd, 0xba87246d,
+  0x6b4af279, 0xba32ca71, 0x6b13fef5, 0xb9de9b83, 0x6adcc964, 0xb98a97d8,
+  0x6aa551e9, 0xb936bfa4,
+  0x6a6d98a4, 0xb8e31319, 0x6a359db9, 0xb88f926d, 0x69fd614a, 0xb83c3dd1,
+  0x69c4e37a, 0xb7e9157a,
+  0x698c246c, 0xb796199b, 0x69532442, 0xb7434a67, 0x6919e320, 0xb6f0a812,
+  0x68e06129, 0xb69e32cd,
+  0x68a69e81, 0xb64beacd, 0x686c9b4b, 0xb5f9d043, 0x683257ab, 0xb5a7e362,
+  0x67f7d3c5, 0xb556245e,
+  0x67bd0fbd, 0xb5049368, 0x67820bb7, 0xb4b330b3, 0x6746c7d8, 0xb461fc70,
+  0x670b4444, 0xb410f6d3,
+  0x66cf8120, 0xb3c0200c, 0x66937e91, 0xb36f784f, 0x66573cbb, 0xb31effcc,
+  0x661abbc5, 0xb2ceb6b5,
+  0x65ddfbd3, 0xb27e9d3c, 0x65a0fd0b, 0xb22eb392, 0x6563bf92, 0xb1def9e9,
+  0x6526438f, 0xb18f7071,
+  0x64e88926, 0xb140175b, 0x64aa907f, 0xb0f0eeda, 0x646c59bf, 0xb0a1f71d,
+  0x642de50d, 0xb0533055,
+  0x63ef3290, 0xb0049ab3, 0x63b0426d, 0xafb63667, 0x637114cc, 0xaf6803a2,
+  0x6331a9d4, 0xaf1a0293,
+  0x62f201ac, 0xaecc336c, 0x62b21c7b, 0xae7e965b, 0x6271fa69, 0xae312b92,
+  0x62319b9d, 0xade3f33e,
+  0x61f1003f, 0xad96ed92, 0x61b02876, 0xad4a1aba, 0x616f146c, 0xacfd7ae8,
+  0x612dc447, 0xacb10e4b,
+  0x60ec3830, 0xac64d510, 0x60aa7050, 0xac18cf69, 0x60686ccf, 0xabccfd83,
+  0x60262dd6, 0xab815f8d,
+  0x5fe3b38d, 0xab35f5b5, 0x5fa0fe1f, 0xaaeac02c, 0x5f5e0db3, 0xaa9fbf1e,
+  0x5f1ae274, 0xaa54f2ba,
+  0x5ed77c8a, 0xaa0a5b2e, 0x5e93dc1f, 0xa9bff8a8, 0x5e50015d, 0xa975cb57,
+  0x5e0bec6e, 0xa92bd367,
+  0x5dc79d7c, 0xa8e21106, 0x5d8314b1, 0xa8988463, 0x5d3e5237, 0xa84f2daa,
+  0x5cf95638, 0xa8060d08,
+  0x5cb420e0, 0xa7bd22ac, 0x5c6eb258, 0xa7746ec0, 0x5c290acc, 0xa72bf174,
+  0x5be32a67, 0xa6e3aaf2,
+  0x5b9d1154, 0xa69b9b68, 0x5b56bfbd, 0xa653c303, 0x5b1035cf, 0xa60c21ee,
+  0x5ac973b5, 0xa5c4b855,
+  0x5a82799a, 0xa57d8666, 0x5a3b47ab, 0xa5368c4b, 0x59f3de12, 0xa4efca31,
+  0x59ac3cfd, 0xa4a94043,
+  0x59646498, 0xa462eeac, 0x591c550e, 0xa41cd599, 0x58d40e8c, 0xa3d6f534,
+  0x588b9140, 0xa3914da8,
+  0x5842dd54, 0xa34bdf20, 0x57f9f2f8, 0xa306a9c8, 0x57b0d256, 0xa2c1adc9,
+  0x57677b9d, 0xa27ceb4f,
+  0x571deefa, 0xa2386284, 0x56d42c99, 0xa1f41392, 0x568a34a9, 0xa1affea3,
+  0x56400758, 0xa16c23e1,
+  0x55f5a4d2, 0xa1288376, 0x55ab0d46, 0xa0e51d8c, 0x556040e2, 0xa0a1f24d,
+  0x55153fd4, 0xa05f01e1,
+  0x54ca0a4b, 0xa01c4c73, 0x547ea073, 0x9fd9d22a, 0x5433027d, 0x9f979331,
+  0x53e73097, 0x9f558fb0,
+  0x539b2af0, 0x9f13c7d0, 0x534ef1b5, 0x9ed23bb9, 0x53028518, 0x9e90eb94,
+  0x52b5e546, 0x9e4fd78a,
+  0x5269126e, 0x9e0effc1, 0x521c0cc2, 0x9dce6463, 0x51ced46e, 0x9d8e0597,
+  0x518169a5, 0x9d4de385,
+  0x5133cc94, 0x9d0dfe54, 0x50e5fd6d, 0x9cce562c, 0x5097fc5e, 0x9c8eeb34,
+  0x5049c999, 0x9c4fbd93,
+  0x4ffb654d, 0x9c10cd70, 0x4faccfab, 0x9bd21af3, 0x4f5e08e3, 0x9b93a641,
+  0x4f0f1126, 0x9b556f81,
+  0x4ebfe8a5, 0x9b1776da, 0x4e708f8f, 0x9ad9bc71, 0x4e210617, 0x9a9c406e,
+  0x4dd14c6e, 0x9a5f02f5,
+  0x4d8162c4, 0x9a22042d, 0x4d31494b, 0x99e5443b, 0x4ce10034, 0x99a8c345,
+  0x4c9087b1, 0x996c816f,
+  0x4c3fdff4, 0x99307ee0, 0x4bef092d, 0x98f4bbbc, 0x4b9e0390, 0x98b93828,
+  0x4b4ccf4d, 0x987df449,
+  0x4afb6c98, 0x9842f043, 0x4aa9dba2, 0x98082c3b, 0x4a581c9e, 0x97cda855,
+  0x4a062fbd, 0x979364b5,
+  0x49b41533, 0x9759617f, 0x4961cd33, 0x971f9ed7, 0x490f57ee, 0x96e61ce0,
+  0x48bcb599, 0x96acdbbe,
+  0x4869e665, 0x9673db94, 0x4816ea86, 0x963b1c86, 0x47c3c22f, 0x96029eb6,
+  0x47706d93, 0x95ca6247,
+  0x471cece7, 0x9592675c, 0x46c9405c, 0x955aae17, 0x46756828, 0x9523369c,
+  0x4621647d, 0x94ec010b,
+  0x45cd358f, 0x94b50d87, 0x4578db93, 0x947e5c33, 0x452456bd, 0x9447ed2f,
+  0x44cfa740, 0x9411c09e,
+  0x447acd50, 0x93dbd6a0, 0x4425c923, 0x93a62f57, 0x43d09aed, 0x9370cae4,
+  0x437b42e1, 0x933ba968,
+  0x4325c135, 0x9306cb04, 0x42d0161e, 0x92d22fd9, 0x427a41d0, 0x929dd806,
+  0x42244481, 0x9269c3ac,
+  0x41ce1e65, 0x9235f2ec, 0x4177cfb1, 0x920265e4, 0x4121589b, 0x91cf1cb6,
+  0x40cab958, 0x919c1781,
+  0x4073f21d, 0x91695663, 0x401d0321, 0x9136d97d, 0x3fc5ec98, 0x9104a0ee,
+  0x3f6eaeb8, 0x90d2acd4,
+  0x3f1749b8, 0x90a0fd4e, 0x3ebfbdcd, 0x906f927c, 0x3e680b2c, 0x903e6c7b,
+  0x3e10320d, 0x900d8b69,
+  0x3db832a6, 0x8fdcef66, 0x3d600d2c, 0x8fac988f, 0x3d07c1d6, 0x8f7c8701,
+  0x3caf50da, 0x8f4cbadb,
+  0x3c56ba70, 0x8f1d343a, 0x3bfdfecd, 0x8eedf33b, 0x3ba51e29, 0x8ebef7fb,
+  0x3b4c18ba, 0x8e904298,
+  0x3af2eeb7, 0x8e61d32e, 0x3a99a057, 0x8e33a9da, 0x3a402dd2, 0x8e05c6b7,
+  0x39e6975e, 0x8dd829e4,
+  0x398cdd32, 0x8daad37b, 0x3932ff87, 0x8d7dc399, 0x38d8fe93, 0x8d50fa59,
+  0x387eda8e, 0x8d2477d8,
+  0x382493b0, 0x8cf83c30, 0x37ca2a30, 0x8ccc477d, 0x376f9e46, 0x8ca099da,
+  0x3714f02a, 0x8c753362,
+  0x36ba2014, 0x8c4a142f, 0x365f2e3b, 0x8c1f3c5d, 0x36041ad9, 0x8bf4ac05,
+  0x35a8e625, 0x8bca6343,
+  0x354d9057, 0x8ba0622f, 0x34f219a8, 0x8b76a8e4, 0x34968250, 0x8b4d377c,
+  0x343aca87, 0x8b240e11,
+  0x33def287, 0x8afb2cbb, 0x3382fa88, 0x8ad29394, 0x3326e2c3, 0x8aaa42b4,
+  0x32caab6f, 0x8a823a36,
+  0x326e54c7, 0x8a5a7a31, 0x3211df04, 0x8a3302be, 0x31b54a5e, 0x8a0bd3f5,
+  0x3158970e, 0x89e4edef,
+  0x30fbc54d, 0x89be50c3, 0x309ed556, 0x8997fc8a, 0x3041c761, 0x8971f15a,
+  0x2fe49ba7, 0x894c2f4c,
+  0x2f875262, 0x8926b677, 0x2f29ebcc, 0x890186f2, 0x2ecc681e, 0x88dca0d3,
+  0x2e6ec792, 0x88b80432,
+  0x2e110a62, 0x8893b125, 0x2db330c7, 0x886fa7c2, 0x2d553afc, 0x884be821,
+  0x2cf72939, 0x88287256,
+  0x2c98fbba, 0x88054677, 0x2c3ab2b9, 0x87e2649b, 0x2bdc4e6f, 0x87bfccd7,
+  0x2b7dcf17, 0x879d7f41,
+  0x2b1f34eb, 0x877b7bec, 0x2ac08026, 0x8759c2ef, 0x2a61b101, 0x8738545e,
+  0x2a02c7b8, 0x8717304e,
+  0x29a3c485, 0x86f656d3, 0x2944a7a2, 0x86d5c802, 0x28e5714b, 0x86b583ee,
+  0x288621b9, 0x86958aac,
+  0x2826b928, 0x8675dc4f, 0x27c737d3, 0x865678eb, 0x27679df4, 0x86376092,
+  0x2707ebc7, 0x86189359,
+  0x26a82186, 0x85fa1153, 0x26483f6c, 0x85dbda91, 0x25e845b6, 0x85bdef28,
+  0x2588349d, 0x85a04f28,
+  0x25280c5e, 0x8582faa5, 0x24c7cd33, 0x8565f1b0, 0x24677758, 0x8549345c,
+  0x24070b08, 0x852cc2bb,
+  0x23a6887f, 0x85109cdd, 0x2345eff8, 0x84f4c2d4, 0x22e541af, 0x84d934b1,
+  0x22847de0, 0x84bdf286,
+  0x2223a4c5, 0x84a2fc62, 0x21c2b69c, 0x84885258, 0x2161b3a0, 0x846df477,
+  0x21009c0c, 0x8453e2cf,
+  0x209f701c, 0x843a1d70, 0x203e300d, 0x8420a46c, 0x1fdcdc1b, 0x840777d0,
+  0x1f7b7481, 0x83ee97ad,
+  0x1f19f97b, 0x83d60412, 0x1eb86b46, 0x83bdbd0e, 0x1e56ca1e, 0x83a5c2b0,
+  0x1df5163f, 0x838e1507,
+  0x1d934fe5, 0x8376b422, 0x1d31774d, 0x835fa00f, 0x1ccf8cb3, 0x8348d8dc,
+  0x1c6d9053, 0x83325e97,
+  0x1c0b826a, 0x831c314e, 0x1ba96335, 0x83065110, 0x1b4732ef, 0x82f0bde8,
+  0x1ae4f1d6, 0x82db77e5,
+  0x1a82a026, 0x82c67f14, 0x1a203e1b, 0x82b1d381, 0x19bdcbf3, 0x829d753a,
+  0x195b49ea, 0x8289644b,
+  0x18f8b83c, 0x8275a0c0, 0x18961728, 0x82622aa6, 0x183366e9, 0x824f0208,
+  0x17d0a7bc, 0x823c26f3,
+  0x176dd9de, 0x82299971, 0x170afd8d, 0x82175990, 0x16a81305, 0x82056758,
+  0x16451a83, 0x81f3c2d7,
+  0x15e21445, 0x81e26c16, 0x157f0086, 0x81d16321, 0x151bdf86, 0x81c0a801,
+  0x14b8b17f, 0x81b03ac2,
+  0x145576b1, 0x81a01b6d, 0x13f22f58, 0x81904a0c, 0x138edbb1, 0x8180c6a9,
+  0x132b7bf9, 0x8171914e,
+  0x12c8106f, 0x8162aa04, 0x1264994e, 0x815410d4, 0x120116d5, 0x8145c5c7,
+  0x119d8941, 0x8137c8e6,
+  0x1139f0cf, 0x812a1a3a, 0x10d64dbd, 0x811cb9ca, 0x1072a048, 0x810fa7a0,
+  0x100ee8ad, 0x8102e3c4,
+  0xfab272b, 0x80f66e3c, 0xf475bff, 0x80ea4712, 0xee38766, 0x80de6e4c,
+  0xe7fa99e, 0x80d2e3f2,
+  0xe1bc2e4, 0x80c7a80a, 0xdb7d376, 0x80bcba9d, 0xd53db92, 0x80b21baf,
+  0xcefdb76, 0x80a7cb49,
+  0xc8bd35e, 0x809dc971, 0xc27c389, 0x8094162c, 0xbc3ac35, 0x808ab180,
+  0xb5f8d9f, 0x80819b74,
+  0xafb6805, 0x8078d40d, 0xa973ba5, 0x80705b50, 0xa3308bd, 0x80683143,
+  0x9cecf89, 0x806055eb,
+  0x96a9049, 0x8058c94c, 0x9064b3a, 0x80518b6b, 0x8a2009a, 0x804a9c4d,
+  0x83db0a7, 0x8043fbf6,
+  0x7d95b9e, 0x803daa6a, 0x77501be, 0x8037a7ac, 0x710a345, 0x8031f3c2,
+  0x6ac406f, 0x802c8ead,
+  0x647d97c, 0x80277872, 0x5e36ea9, 0x8022b114, 0x57f0035, 0x801e3895,
+  0x51a8e5c, 0x801a0ef8,
+  0x4b6195d, 0x80163440, 0x451a177, 0x8012a86f, 0x3ed26e6, 0x800f6b88,
+  0x388a9ea, 0x800c7d8c,
+  0x3242abf, 0x8009de7e, 0x2bfa9a4, 0x80078e5e, 0x25b26d7, 0x80058d2f,
+  0x1f6a297, 0x8003daf1,
+  0x1921d20, 0x800277a6, 0x12d96b1, 0x8001634e, 0xc90f88, 0x80009dea,
+  0x6487e3, 0x8000277a,
+};
+
+static const q31_t WeightsQ31_2048[4096] = {
+  0x7fffffff, 0x0, 0x7ffffd88, 0xffe6de05, 0x7ffff621, 0xffcdbc0b, 0x7fffe9cb,
+  0xffb49a12,
+  0x7fffd886, 0xff9b781d, 0x7fffc251, 0xff82562c, 0x7fffa72c, 0xff69343f,
+  0x7fff8719, 0xff501258,
+  0x7fff6216, 0xff36f078, 0x7fff3824, 0xff1dcea0, 0x7fff0943, 0xff04acd0,
+  0x7ffed572, 0xfeeb8b0a,
+  0x7ffe9cb2, 0xfed2694f, 0x7ffe5f03, 0xfeb947a0, 0x7ffe1c65, 0xfea025fd,
+  0x7ffdd4d7, 0xfe870467,
+  0x7ffd885a, 0xfe6de2e0, 0x7ffd36ee, 0xfe54c169, 0x7ffce093, 0xfe3ba002,
+  0x7ffc8549, 0xfe227eac,
+  0x7ffc250f, 0xfe095d69, 0x7ffbbfe6, 0xfdf03c3a, 0x7ffb55ce, 0xfdd71b1e,
+  0x7ffae6c7, 0xfdbdfa18,
+  0x7ffa72d1, 0xfda4d929, 0x7ff9f9ec, 0xfd8bb850, 0x7ff97c18, 0xfd729790,
+  0x7ff8f954, 0xfd5976e9,
+  0x7ff871a2, 0xfd40565c, 0x7ff7e500, 0xfd2735ea, 0x7ff75370, 0xfd0e1594,
+  0x7ff6bcf0, 0xfcf4f55c,
+  0x7ff62182, 0xfcdbd541, 0x7ff58125, 0xfcc2b545, 0x7ff4dbd9, 0xfca9956a,
+  0x7ff4319d, 0xfc9075af,
+  0x7ff38274, 0xfc775616, 0x7ff2ce5b, 0xfc5e36a0, 0x7ff21553, 0xfc45174e,
+  0x7ff1575d, 0xfc2bf821,
+  0x7ff09478, 0xfc12d91a, 0x7fefcca4, 0xfbf9ba39, 0x7feeffe1, 0xfbe09b80,
+  0x7fee2e30, 0xfbc77cf0,
+  0x7fed5791, 0xfbae5e89, 0x7fec7c02, 0xfb95404d, 0x7feb9b85, 0xfb7c223d,
+  0x7feab61a, 0xfb630459,
+  0x7fe9cbc0, 0xfb49e6a3, 0x7fe8dc78, 0xfb30c91b, 0x7fe7e841, 0xfb17abc2,
+  0x7fe6ef1c, 0xfafe8e9b,
+  0x7fe5f108, 0xfae571a4, 0x7fe4ee06, 0xfacc54e0, 0x7fe3e616, 0xfab3384f,
+  0x7fe2d938, 0xfa9a1bf3,
+  0x7fe1c76b, 0xfa80ffcb, 0x7fe0b0b1, 0xfa67e3da, 0x7fdf9508, 0xfa4ec821,
+  0x7fde7471, 0xfa35ac9f,
+  0x7fdd4eec, 0xfa1c9157, 0x7fdc247a, 0xfa037648, 0x7fdaf519, 0xf9ea5b75,
+  0x7fd9c0ca, 0xf9d140de,
+  0x7fd8878e, 0xf9b82684, 0x7fd74964, 0xf99f0c68, 0x7fd6064c, 0xf985f28a,
+  0x7fd4be46, 0xf96cd8ed,
+  0x7fd37153, 0xf953bf91, 0x7fd21f72, 0xf93aa676, 0x7fd0c8a3, 0xf9218d9e,
+  0x7fcf6ce8, 0xf908750a,
+  0x7fce0c3e, 0xf8ef5cbb, 0x7fcca6a7, 0xf8d644b2, 0x7fcb3c23, 0xf8bd2cef,
+  0x7fc9ccb2, 0xf8a41574,
+  0x7fc85854, 0xf88afe42, 0x7fc6df08, 0xf871e759, 0x7fc560cf, 0xf858d0bb,
+  0x7fc3dda9, 0xf83fba68,
+  0x7fc25596, 0xf826a462, 0x7fc0c896, 0xf80d8ea9, 0x7fbf36aa, 0xf7f4793e,
+  0x7fbd9fd0, 0xf7db6423,
+  0x7fbc040a, 0xf7c24f59, 0x7fba6357, 0xf7a93ae0, 0x7fb8bdb8, 0xf79026b9,
+  0x7fb7132b, 0xf77712e5,
+  0x7fb563b3, 0xf75dff66, 0x7fb3af4e, 0xf744ec3b, 0x7fb1f5fc, 0xf72bd967,
+  0x7fb037bf, 0xf712c6ea,
+  0x7fae7495, 0xf6f9b4c6, 0x7facac7f, 0xf6e0a2fa, 0x7faadf7c, 0xf6c79188,
+  0x7fa90d8e, 0xf6ae8071,
+  0x7fa736b4, 0xf6956fb7, 0x7fa55aee, 0xf67c5f59, 0x7fa37a3c, 0xf6634f59,
+  0x7fa1949e, 0xf64a3fb8,
+  0x7f9faa15, 0xf6313077, 0x7f9dbaa0, 0xf6182196, 0x7f9bc640, 0xf5ff1318,
+  0x7f99ccf4, 0xf5e604fc,
+  0x7f97cebd, 0xf5ccf743, 0x7f95cb9a, 0xf5b3e9f0, 0x7f93c38c, 0xf59add02,
+  0x7f91b694, 0xf581d07b,
+  0x7f8fa4b0, 0xf568c45b, 0x7f8d8de1, 0xf54fb8a4, 0x7f8b7227, 0xf536ad56,
+  0x7f895182, 0xf51da273,
+  0x7f872bf3, 0xf50497fb, 0x7f850179, 0xf4eb8def, 0x7f82d214, 0xf4d28451,
+  0x7f809dc5, 0xf4b97b21,
+  0x7f7e648c, 0xf4a07261, 0x7f7c2668, 0xf4876a10, 0x7f79e35a, 0xf46e6231,
+  0x7f779b62, 0xf4555ac5,
+  0x7f754e80, 0xf43c53cb, 0x7f72fcb4, 0xf4234d45, 0x7f70a5fe, 0xf40a4735,
+  0x7f6e4a5e, 0xf3f1419a,
+  0x7f6be9d4, 0xf3d83c77, 0x7f698461, 0xf3bf37cb, 0x7f671a05, 0xf3a63398,
+  0x7f64aabf, 0xf38d2fe0,
+  0x7f62368f, 0xf3742ca2, 0x7f5fbd77, 0xf35b29e0, 0x7f5d3f75, 0xf342279b,
+  0x7f5abc8a, 0xf32925d3,
+  0x7f5834b7, 0xf310248a, 0x7f55a7fa, 0xf2f723c1, 0x7f531655, 0xf2de2379,
+  0x7f507fc7, 0xf2c523b2,
+  0x7f4de451, 0xf2ac246e, 0x7f4b43f2, 0xf29325ad, 0x7f489eaa, 0xf27a2771,
+  0x7f45f47b, 0xf26129ba,
+  0x7f434563, 0xf2482c8a, 0x7f409164, 0xf22f2fe1, 0x7f3dd87c, 0xf21633c0,
+  0x7f3b1aad, 0xf1fd3829,
+  0x7f3857f6, 0xf1e43d1c, 0x7f359057, 0xf1cb429a, 0x7f32c3d1, 0xf1b248a5,
+  0x7f2ff263, 0xf1994f3d,
+  0x7f2d1c0e, 0xf1805662, 0x7f2a40d2, 0xf1675e17, 0x7f2760af, 0xf14e665c,
+  0x7f247ba5, 0xf1356f32,
+  0x7f2191b4, 0xf11c789a, 0x7f1ea2dc, 0xf1038295, 0x7f1baf1e, 0xf0ea8d24,
+  0x7f18b679, 0xf0d19848,
+  0x7f15b8ee, 0xf0b8a401, 0x7f12b67c, 0xf09fb051, 0x7f0faf25, 0xf086bd39,
+  0x7f0ca2e7, 0xf06dcaba,
+  0x7f0991c4, 0xf054d8d5, 0x7f067bba, 0xf03be78a, 0x7f0360cb, 0xf022f6da,
+  0x7f0040f6, 0xf00a06c8,
+  0x7efd1c3c, 0xeff11753, 0x7ef9f29d, 0xefd8287c, 0x7ef6c418, 0xefbf3a45,
+  0x7ef390ae, 0xefa64cae,
+  0x7ef05860, 0xef8d5fb8, 0x7eed1b2c, 0xef747365, 0x7ee9d914, 0xef5b87b5,
+  0x7ee69217, 0xef429caa,
+  0x7ee34636, 0xef29b243, 0x7edff570, 0xef10c883, 0x7edc9fc6, 0xeef7df6a,
+  0x7ed94538, 0xeedef6f9,
+  0x7ed5e5c6, 0xeec60f31, 0x7ed28171, 0xeead2813, 0x7ecf1837, 0xee9441a0,
+  0x7ecbaa1a, 0xee7b5bd9,
+  0x7ec8371a, 0xee6276bf, 0x7ec4bf36, 0xee499253, 0x7ec14270, 0xee30ae96,
+  0x7ebdc0c6, 0xee17cb88,
+  0x7eba3a39, 0xedfee92b, 0x7eb6aeca, 0xede60780, 0x7eb31e78, 0xedcd2687,
+  0x7eaf8943, 0xedb44642,
+  0x7eabef2c, 0xed9b66b2, 0x7ea85033, 0xed8287d7, 0x7ea4ac58, 0xed69a9b3,
+  0x7ea1039b, 0xed50cc46,
+  0x7e9d55fc, 0xed37ef91, 0x7e99a37c, 0xed1f1396, 0x7e95ec1a, 0xed063856,
+  0x7e922fd6, 0xeced5dd0,
+  0x7e8e6eb2, 0xecd48407, 0x7e8aa8ac, 0xecbbaafb, 0x7e86ddc6, 0xeca2d2ad,
+  0x7e830dff, 0xec89fb1e,
+  0x7e7f3957, 0xec71244f, 0x7e7b5fce, 0xec584e41, 0x7e778166, 0xec3f78f6,
+  0x7e739e1d, 0xec26a46d,
+  0x7e6fb5f4, 0xec0dd0a8, 0x7e6bc8eb, 0xebf4fda8, 0x7e67d703, 0xebdc2b6e,
+  0x7e63e03b, 0xebc359fb,
+  0x7e5fe493, 0xebaa894f, 0x7e5be40c, 0xeb91b96c, 0x7e57dea7, 0xeb78ea52,
+  0x7e53d462, 0xeb601c04,
+  0x7e4fc53e, 0xeb474e81, 0x7e4bb13c, 0xeb2e81ca, 0x7e47985b, 0xeb15b5e1,
+  0x7e437a9c, 0xeafceac6,
+  0x7e3f57ff, 0xeae4207a, 0x7e3b3083, 0xeacb56ff, 0x7e37042a, 0xeab28e56,
+  0x7e32d2f4, 0xea99c67e,
+  0x7e2e9cdf, 0xea80ff7a, 0x7e2a61ed, 0xea683949, 0x7e26221f, 0xea4f73ee,
+  0x7e21dd73, 0xea36af69,
+  0x7e1d93ea, 0xea1debbb, 0x7e194584, 0xea0528e5, 0x7e14f242, 0xe9ec66e8,
+  0x7e109a24, 0xe9d3a5c5,
+  0x7e0c3d29, 0xe9bae57d, 0x7e07db52, 0xe9a22610, 0x7e0374a0, 0xe9896781,
+  0x7dff0911, 0xe970a9ce,
+  0x7dfa98a8, 0xe957ecfb, 0x7df62362, 0xe93f3107, 0x7df1a942, 0xe92675f4,
+  0x7ded2a47, 0xe90dbbc2,
+  0x7de8a670, 0xe8f50273, 0x7de41dc0, 0xe8dc4a07, 0x7ddf9034, 0xe8c39280,
+  0x7ddafdce, 0xe8aadbde,
+  0x7dd6668f, 0xe8922622, 0x7dd1ca75, 0xe879714d, 0x7dcd2981, 0xe860bd61,
+  0x7dc883b4, 0xe8480a5d,
+  0x7dc3d90d, 0xe82f5844, 0x7dbf298d, 0xe816a716, 0x7dba7534, 0xe7fdf6d4,
+  0x7db5bc02, 0xe7e5477f,
+  0x7db0fdf8, 0xe7cc9917, 0x7dac3b15, 0xe7b3eb9f, 0x7da77359, 0xe79b3f16,
+  0x7da2a6c6, 0xe782937e,
+  0x7d9dd55a, 0xe769e8d8, 0x7d98ff17, 0xe7513f25, 0x7d9423fc, 0xe7389665,
+  0x7d8f4409, 0xe71fee99,
+  0x7d8a5f40, 0xe70747c4, 0x7d85759f, 0xe6eea1e4, 0x7d808728, 0xe6d5fcfc,
+  0x7d7b93da, 0xe6bd590d,
+  0x7d769bb5, 0xe6a4b616, 0x7d719eba, 0xe68c141a, 0x7d6c9ce9, 0xe6737319,
+  0x7d679642, 0xe65ad315,
+  0x7d628ac6, 0xe642340d, 0x7d5d7a74, 0xe6299604, 0x7d58654d, 0xe610f8f9,
+  0x7d534b50, 0xe5f85cef,
+  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4908d9, 0xe5c727dd, 0x7d43e05e, 0xe5ae8ed8,
+  0x7d3eb30f, 0xe595f6d7,
+  0x7d3980ec, 0xe57d5fda, 0x7d3449f5, 0xe564c9e3, 0x7d2f0e2b, 0xe54c34f3,
+  0x7d29cd8c, 0xe533a10a,
+  0x7d24881b, 0xe51b0e2a, 0x7d1f3dd6, 0xe5027c53, 0x7d19eebf, 0xe4e9eb87,
+  0x7d149ad5, 0xe4d15bc6,
+  0x7d0f4218, 0xe4b8cd11, 0x7d09e489, 0xe4a03f69, 0x7d048228, 0xe487b2d0,
+  0x7cff1af5, 0xe46f2745,
+  0x7cf9aef0, 0xe4569ccb, 0x7cf43e1a, 0xe43e1362, 0x7ceec873, 0xe4258b0a,
+  0x7ce94dfb, 0xe40d03c6,
+  0x7ce3ceb2, 0xe3f47d96, 0x7cde4a98, 0xe3dbf87a, 0x7cd8c1ae, 0xe3c37474,
+  0x7cd333f3, 0xe3aaf184,
+  0x7ccda169, 0xe3926fad, 0x7cc80a0f, 0xe379eeed, 0x7cc26de5, 0xe3616f48,
+  0x7cbcccec, 0xe348f0bd,
+  0x7cb72724, 0xe330734d, 0x7cb17c8d, 0xe317f6fa, 0x7cabcd28, 0xe2ff7bc3,
+  0x7ca618f3, 0xe2e701ac,
+  0x7ca05ff1, 0xe2ce88b3, 0x7c9aa221, 0xe2b610da, 0x7c94df83, 0xe29d9a23,
+  0x7c8f1817, 0xe285248d,
+  0x7c894bde, 0xe26cb01b, 0x7c837ad8, 0xe2543ccc, 0x7c7da505, 0xe23bcaa2,
+  0x7c77ca65, 0xe223599e,
+  0x7c71eaf9, 0xe20ae9c1, 0x7c6c06c0, 0xe1f27b0b, 0x7c661dbc, 0xe1da0d7e,
+  0x7c602fec, 0xe1c1a11b,
+  0x7c5a3d50, 0xe1a935e2, 0x7c5445e9, 0xe190cbd4, 0x7c4e49b7, 0xe17862f3,
+  0x7c4848ba, 0xe15ffb3f,
+  0x7c4242f2, 0xe14794ba, 0x7c3c3860, 0xe12f2f63, 0x7c362904, 0xe116cb3d,
+  0x7c3014de, 0xe0fe6848,
+  0x7c29fbee, 0xe0e60685, 0x7c23de35, 0xe0cda5f5, 0x7c1dbbb3, 0xe0b54698,
+  0x7c179467, 0xe09ce871,
+  0x7c116853, 0xe0848b7f, 0x7c0b3777, 0xe06c2fc4, 0x7c0501d2, 0xe053d541,
+  0x7bfec765, 0xe03b7bf6,
+  0x7bf88830, 0xe02323e5, 0x7bf24434, 0xe00acd0e, 0x7bebfb70, 0xdff27773,
+  0x7be5ade6, 0xdfda2314,
+  0x7bdf5b94, 0xdfc1cff3, 0x7bd9047c, 0xdfa97e0f, 0x7bd2a89e, 0xdf912d6b,
+  0x7bcc47fa, 0xdf78de07,
+  0x7bc5e290, 0xdf608fe4, 0x7bbf7860, 0xdf484302, 0x7bb9096b, 0xdf2ff764,
+  0x7bb295b0, 0xdf17ad0a,
+  0x7bac1d31, 0xdeff63f4, 0x7ba59fee, 0xdee71c24, 0x7b9f1de6, 0xdeced59b,
+  0x7b989719, 0xdeb69059,
+  0x7b920b89, 0xde9e4c60, 0x7b8b7b36, 0xde8609b1, 0x7b84e61f, 0xde6dc84b,
+  0x7b7e4c45, 0xde558831,
+  0x7b77ada8, 0xde3d4964, 0x7b710a49, 0xde250be3, 0x7b6a6227, 0xde0ccfb1,
+  0x7b63b543, 0xddf494ce,
+  0x7b5d039e, 0xdddc5b3b, 0x7b564d36, 0xddc422f8, 0x7b4f920e, 0xddabec08,
+  0x7b48d225, 0xdd93b66a,
+  0x7b420d7a, 0xdd7b8220, 0x7b3b4410, 0xdd634f2b, 0x7b3475e5, 0xdd4b1d8c,
+  0x7b2da2fa, 0xdd32ed43,
+  0x7b26cb4f, 0xdd1abe51, 0x7b1feee5, 0xdd0290b8, 0x7b190dbc, 0xdcea6478,
+  0x7b1227d3, 0xdcd23993,
+  0x7b0b3d2c, 0xdcba1008, 0x7b044dc7, 0xdca1e7da, 0x7afd59a4, 0xdc89c109,
+  0x7af660c2, 0xdc719b96,
+  0x7aef6323, 0xdc597781, 0x7ae860c7, 0xdc4154cd, 0x7ae159ae, 0xdc293379,
+  0x7ada4dd8, 0xdc111388,
+  0x7ad33d45, 0xdbf8f4f8, 0x7acc27f7, 0xdbe0d7cd, 0x7ac50dec, 0xdbc8bc06,
+  0x7abdef25, 0xdbb0a1a4,
+  0x7ab6cba4, 0xdb9888a8, 0x7aafa367, 0xdb807114, 0x7aa8766f, 0xdb685ae9,
+  0x7aa144bc, 0xdb504626,
+  0x7a9a0e50, 0xdb3832cd, 0x7a92d329, 0xdb2020e0, 0x7a8b9348, 0xdb08105e,
+  0x7a844eae, 0xdaf00149,
+  0x7a7d055b, 0xdad7f3a2, 0x7a75b74f, 0xdabfe76a, 0x7a6e648a, 0xdaa7dca1,
+  0x7a670d0d, 0xda8fd349,
+  0x7a5fb0d8, 0xda77cb63, 0x7a584feb, 0xda5fc4ef, 0x7a50ea47, 0xda47bfee,
+  0x7a497feb, 0xda2fbc61,
+  0x7a4210d8, 0xda17ba4a, 0x7a3a9d0f, 0xd9ffb9a9, 0x7a332490, 0xd9e7ba7f,
+  0x7a2ba75a, 0xd9cfbccd,
+  0x7a24256f, 0xd9b7c094, 0x7a1c9ece, 0xd99fc5d4, 0x7a151378, 0xd987cc90,
+  0x7a0d836d, 0xd96fd4c7,
+  0x7a05eead, 0xd957de7a, 0x79fe5539, 0xd93fe9ab, 0x79f6b711, 0xd927f65b,
+  0x79ef1436, 0xd910048a,
+  0x79e76ca7, 0xd8f81439, 0x79dfc064, 0xd8e0256a, 0x79d80f6f, 0xd8c8381d,
+  0x79d059c8, 0xd8b04c52,
+  0x79c89f6e, 0xd898620c, 0x79c0e062, 0xd880794b, 0x79b91ca4, 0xd868920f,
+  0x79b15435, 0xd850ac5a,
+  0x79a98715, 0xd838c82d, 0x79a1b545, 0xd820e589, 0x7999dec4, 0xd809046e,
+  0x79920392, 0xd7f124dd,
+  0x798a23b1, 0xd7d946d8, 0x79823f20, 0xd7c16a5f, 0x797a55e0, 0xd7a98f73,
+  0x797267f2, 0xd791b616,
+  0x796a7554, 0xd779de47, 0x79627e08, 0xd7620808, 0x795a820e, 0xd74a335b,
+  0x79528167, 0xd732603f,
+  0x794a7c12, 0xd71a8eb5, 0x79427210, 0xd702bec0, 0x793a6361, 0xd6eaf05f,
+  0x79325006, 0xd6d32393,
+  0x792a37fe, 0xd6bb585e, 0x79221b4b, 0xd6a38ec0, 0x7919f9ec, 0xd68bc6ba,
+  0x7911d3e2, 0xd674004e,
+  0x7909a92d, 0xd65c3b7b, 0x790179cd, 0xd6447844, 0x78f945c3, 0xd62cb6a8,
+  0x78f10d0f, 0xd614f6a9,
+  0x78e8cfb2, 0xd5fd3848, 0x78e08dab, 0xd5e57b85, 0x78d846fb, 0xd5cdc062,
+  0x78cffba3, 0xd5b606e0,
+  0x78c7aba2, 0xd59e4eff, 0x78bf56f9, 0xd58698c0, 0x78b6fda8, 0xd56ee424,
+  0x78ae9fb0, 0xd557312d,
+  0x78a63d11, 0xd53f7fda, 0x789dd5cb, 0xd527d02e, 0x789569df, 0xd5102228,
+  0x788cf94c, 0xd4f875ca,
+  0x78848414, 0xd4e0cb15, 0x787c0a36, 0xd4c92209, 0x78738bb3, 0xd4b17aa8,
+  0x786b088c, 0xd499d4f2,
+  0x786280bf, 0xd48230e9, 0x7859f44f, 0xd46a8e8d, 0x7851633b, 0xd452eddf,
+  0x7848cd83, 0xd43b4ee0,
+  0x78403329, 0xd423b191, 0x7837942b, 0xd40c15f3, 0x782ef08b, 0xd3f47c06,
+  0x78264849, 0xd3dce3cd,
+  0x781d9b65, 0xd3c54d47, 0x7814e9df, 0xd3adb876, 0x780c33b8, 0xd396255a,
+  0x780378f1, 0xd37e93f4,
+  0x77fab989, 0xd3670446, 0x77f1f581, 0xd34f764f, 0x77e92cd9, 0xd337ea12,
+  0x77e05f91, 0xd3205f8f,
+  0x77d78daa, 0xd308d6c7, 0x77ceb725, 0xd2f14fba, 0x77c5dc01, 0xd2d9ca6a,
+  0x77bcfc3f, 0xd2c246d8,
+  0x77b417df, 0xd2aac504, 0x77ab2ee2, 0xd29344f0, 0x77a24148, 0xd27bc69c,
+  0x77994f11, 0xd2644a0a,
+  0x7790583e, 0xd24ccf39, 0x77875cce, 0xd235562b, 0x777e5cc3, 0xd21ddee2,
+  0x7775581d, 0xd206695d,
+  0x776c4edb, 0xd1eef59e, 0x776340ff, 0xd1d783a6, 0x775a2e89, 0xd1c01375,
+  0x77511778, 0xd1a8a50d,
+  0x7747fbce, 0xd191386e, 0x773edb8b, 0xd179cd99, 0x7735b6af, 0xd1626490,
+  0x772c8d3a, 0xd14afd52,
+  0x77235f2d, 0xd13397e2, 0x771a2c88, 0xd11c343f, 0x7710f54c, 0xd104d26b,
+  0x7707b979, 0xd0ed7267,
+  0x76fe790e, 0xd0d61434, 0x76f5340e, 0xd0beb7d2, 0x76ebea77, 0xd0a75d42,
+  0x76e29c4b, 0xd0900486,
+  0x76d94989, 0xd078ad9e, 0x76cff232, 0xd061588b, 0x76c69647, 0xd04a054e,
+  0x76bd35c7, 0xd032b3e7,
+  0x76b3d0b4, 0xd01b6459, 0x76aa670d, 0xd00416a3, 0x76a0f8d2, 0xcfeccac7,
+  0x76978605, 0xcfd580c6,
+  0x768e0ea6, 0xcfbe389f, 0x768492b4, 0xcfa6f255, 0x767b1231, 0xcf8fade9,
+  0x76718d1c, 0xcf786b5a,
+  0x76680376, 0xcf612aaa, 0x765e7540, 0xcf49ebda, 0x7654e279, 0xcf32aeeb,
+  0x764b4b23, 0xcf1b73de,
+  0x7641af3d, 0xcf043ab3, 0x76380ec8, 0xceed036b, 0x762e69c4, 0xced5ce08,
+  0x7624c031, 0xcebe9a8a,
+  0x761b1211, 0xcea768f2, 0x76115f63, 0xce903942, 0x7607a828, 0xce790b79,
+  0x75fdec60, 0xce61df99,
+  0x75f42c0b, 0xce4ab5a2, 0x75ea672a, 0xce338d97, 0x75e09dbd, 0xce1c6777,
+  0x75d6cfc5, 0xce054343,
+  0x75ccfd42, 0xcdee20fc, 0x75c32634, 0xcdd700a4, 0x75b94a9c, 0xcdbfe23a,
+  0x75af6a7b, 0xcda8c5c1,
+  0x75a585cf, 0xcd91ab39, 0x759b9c9b, 0xcd7a92a2, 0x7591aedd, 0xcd637bfe,
+  0x7587bc98, 0xcd4c674d,
+  0x757dc5ca, 0xcd355491, 0x7573ca75, 0xcd1e43ca, 0x7569ca99, 0xcd0734f9,
+  0x755fc635, 0xccf0281f,
+  0x7555bd4c, 0xccd91d3d, 0x754bafdc, 0xccc21455, 0x75419de7, 0xccab0d65,
+  0x7537876c, 0xcc940871,
+  0x752d6c6c, 0xcc7d0578, 0x75234ce8, 0xcc66047b, 0x751928e0, 0xcc4f057c,
+  0x750f0054, 0xcc38087b,
+  0x7504d345, 0xcc210d79, 0x74faa1b3, 0xcc0a1477, 0x74f06b9e, 0xcbf31d75,
+  0x74e63108, 0xcbdc2876,
+  0x74dbf1ef, 0xcbc53579, 0x74d1ae55, 0xcbae447f, 0x74c7663a, 0xcb97558a,
+  0x74bd199f, 0xcb80689a,
+  0x74b2c884, 0xcb697db0, 0x74a872e8, 0xcb5294ce, 0x749e18cd, 0xcb3badf3,
+  0x7493ba34, 0xcb24c921,
+  0x7489571c, 0xcb0de658, 0x747eef85, 0xcaf7059a, 0x74748371, 0xcae026e8,
+  0x746a12df, 0xcac94a42,
+  0x745f9dd1, 0xcab26fa9, 0x74552446, 0xca9b971e, 0x744aa63f, 0xca84c0a3,
+  0x744023bc, 0xca6dec37,
+  0x74359cbd, 0xca5719db, 0x742b1144, 0xca404992, 0x74208150, 0xca297b5a,
+  0x7415ece2, 0xca12af37,
+  0x740b53fb, 0xc9fbe527, 0x7400b69a, 0xc9e51d2d, 0x73f614c0, 0xc9ce5748,
+  0x73eb6e6e, 0xc9b7937a,
+  0x73e0c3a3, 0xc9a0d1c5, 0x73d61461, 0xc98a1227, 0x73cb60a8, 0xc97354a4,
+  0x73c0a878, 0xc95c993a,
+  0x73b5ebd1, 0xc945dfec, 0x73ab2ab4, 0xc92f28ba, 0x73a06522, 0xc91873a5,
+  0x73959b1b, 0xc901c0ae,
+  0x738acc9e, 0xc8eb0fd6, 0x737ff9ae, 0xc8d4611d, 0x73752249, 0xc8bdb485,
+  0x736a4671, 0xc8a70a0e,
+  0x735f6626, 0xc89061ba, 0x73548168, 0xc879bb89, 0x73499838, 0xc863177b,
+  0x733eaa96, 0xc84c7593,
+  0x7333b883, 0xc835d5d0, 0x7328c1ff, 0xc81f3834, 0x731dc70a, 0xc8089cbf,
+  0x7312c7a5, 0xc7f20373,
+  0x7307c3d0, 0xc7db6c50, 0x72fcbb8c, 0xc7c4d757, 0x72f1aed9, 0xc7ae4489,
+  0x72e69db7, 0xc797b3e7,
+  0x72db8828, 0xc7812572, 0x72d06e2b, 0xc76a992a, 0x72c54fc1, 0xc7540f11,
+  0x72ba2cea, 0xc73d8727,
+  0x72af05a7, 0xc727016d, 0x72a3d9f7, 0xc7107de4, 0x7298a9dd, 0xc6f9fc8d,
+  0x728d7557, 0xc6e37d69,
+  0x72823c67, 0xc6cd0079, 0x7276ff0d, 0xc6b685bd, 0x726bbd48, 0xc6a00d37,
+  0x7260771b, 0xc68996e7,
+  0x72552c85, 0xc67322ce, 0x7249dd86, 0xc65cb0ed, 0x723e8a20, 0xc6464144,
+  0x72333251, 0xc62fd3d6,
+  0x7227d61c, 0xc61968a2, 0x721c7580, 0xc602ffaa, 0x7211107e, 0xc5ec98ee,
+  0x7205a716, 0xc5d6346f,
+  0x71fa3949, 0xc5bfd22e, 0x71eec716, 0xc5a9722c, 0x71e35080, 0xc593146a,
+  0x71d7d585, 0xc57cb8e9,
+  0x71cc5626, 0xc5665fa9, 0x71c0d265, 0xc55008ab, 0x71b54a41, 0xc539b3f1,
+  0x71a9bdba, 0xc523617a,
+  0x719e2cd2, 0xc50d1149, 0x71929789, 0xc4f6c35d, 0x7186fdde, 0xc4e077b8,
+  0x717b5fd3, 0xc4ca2e5b,
+  0x716fbd68, 0xc4b3e746, 0x7164169d, 0xc49da27a, 0x71586b74, 0xc4875ff9,
+  0x714cbbeb, 0xc4711fc2,
+  0x71410805, 0xc45ae1d7, 0x71354fc0, 0xc444a639, 0x7129931f, 0xc42e6ce8,
+  0x711dd220, 0xc41835e6,
+  0x71120cc5, 0xc4020133, 0x7106430e, 0xc3ebced0, 0x70fa74fc, 0xc3d59ebe,
+  0x70eea28e, 0xc3bf70fd,
+  0x70e2cbc6, 0xc3a94590, 0x70d6f0a4, 0xc3931c76, 0x70cb1128, 0xc37cf5b0,
+  0x70bf2d53, 0xc366d140,
+  0x70b34525, 0xc350af26, 0x70a7589f, 0xc33a8f62, 0x709b67c0, 0xc32471f7,
+  0x708f728b, 0xc30e56e4,
+  0x708378ff, 0xc2f83e2a, 0x70777b1c, 0xc2e227cb, 0x706b78e3, 0xc2cc13c7,
+  0x705f7255, 0xc2b6021f,
+  0x70536771, 0xc29ff2d4, 0x70475839, 0xc289e5e7, 0x703b44ad, 0xc273db58,
+  0x702f2ccd, 0xc25dd329,
+  0x7023109a, 0xc247cd5a, 0x7016f014, 0xc231c9ec, 0x700acb3c, 0xc21bc8e1,
+  0x6ffea212, 0xc205ca38,
+  0x6ff27497, 0xc1efcdf3, 0x6fe642ca, 0xc1d9d412, 0x6fda0cae, 0xc1c3dc97,
+  0x6fcdd241, 0xc1ade781,
+  0x6fc19385, 0xc197f4d4, 0x6fb5507a, 0xc182048d, 0x6fa90921, 0xc16c16b0,
+  0x6f9cbd79, 0xc1562b3d,
+  0x6f906d84, 0xc1404233, 0x6f841942, 0xc12a5b95, 0x6f77c0b3, 0xc1147764,
+  0x6f6b63d8, 0xc0fe959f,
+  0x6f5f02b2, 0xc0e8b648, 0x6f529d40, 0xc0d2d960, 0x6f463383, 0xc0bcfee7,
+  0x6f39c57d, 0xc0a726df,
+  0x6f2d532c, 0xc0915148, 0x6f20dc92, 0xc07b7e23, 0x6f1461b0, 0xc065ad70,
+  0x6f07e285, 0xc04fdf32,
+  0x6efb5f12, 0xc03a1368, 0x6eeed758, 0xc0244a14, 0x6ee24b57, 0xc00e8336,
+  0x6ed5bb10, 0xbff8bece,
+  0x6ec92683, 0xbfe2fcdf, 0x6ebc8db0, 0xbfcd3d69, 0x6eaff099, 0xbfb7806c,
+  0x6ea34f3d, 0xbfa1c5ea,
+  0x6e96a99d, 0xbf8c0de3, 0x6e89ffb9, 0xbf765858, 0x6e7d5193, 0xbf60a54a,
+  0x6e709f2a, 0xbf4af4ba,
+  0x6e63e87f, 0xbf3546a8, 0x6e572d93, 0xbf1f9b16, 0x6e4a6e66, 0xbf09f205,
+  0x6e3daaf8, 0xbef44b74,
+  0x6e30e34a, 0xbedea765, 0x6e24175c, 0xbec905d9, 0x6e174730, 0xbeb366d1,
+  0x6e0a72c5, 0xbe9dca4e,
+  0x6dfd9a1c, 0xbe88304f, 0x6df0bd35, 0xbe7298d7, 0x6de3dc11, 0xbe5d03e6,
+  0x6dd6f6b1, 0xbe47717c,
+  0x6dca0d14, 0xbe31e19b, 0x6dbd1f3c, 0xbe1c5444, 0x6db02d29, 0xbe06c977,
+  0x6da336dc, 0xbdf14135,
+  0x6d963c54, 0xbddbbb7f, 0x6d893d93, 0xbdc63856, 0x6d7c3a98, 0xbdb0b7bb,
+  0x6d6f3365, 0xbd9b39ad,
+  0x6d6227fa, 0xbd85be30, 0x6d551858, 0xbd704542, 0x6d48047e, 0xbd5acee5,
+  0x6d3aec6e, 0xbd455b1a,
+  0x6d2dd027, 0xbd2fe9e2, 0x6d20afac, 0xbd1a7b3d, 0x6d138afb, 0xbd050f2c,
+  0x6d066215, 0xbcefa5b0,
+  0x6cf934fc, 0xbcda3ecb, 0x6cec03af, 0xbcc4da7b, 0x6cdece2f, 0xbcaf78c4,
+  0x6cd1947c, 0xbc9a19a5,
+  0x6cc45698, 0xbc84bd1f, 0x6cb71482, 0xbc6f6333, 0x6ca9ce3b, 0xbc5a0be2,
+  0x6c9c83c3, 0xbc44b72c,
+  0x6c8f351c, 0xbc2f6513, 0x6c81e245, 0xbc1a1598, 0x6c748b3f, 0xbc04c8ba,
+  0x6c67300b, 0xbbef7e7c,
+  0x6c59d0a9, 0xbbda36dd, 0x6c4c6d1a, 0xbbc4f1df, 0x6c3f055d, 0xbbafaf82,
+  0x6c319975, 0xbb9a6fc7,
+  0x6c242960, 0xbb8532b0, 0x6c16b521, 0xbb6ff83c, 0x6c093cb6, 0xbb5ac06d,
+  0x6bfbc021, 0xbb458b43,
+  0x6bee3f62, 0xbb3058c0, 0x6be0ba7b, 0xbb1b28e4, 0x6bd3316a, 0xbb05fbb0,
+  0x6bc5a431, 0xbaf0d125,
+  0x6bb812d1, 0xbadba943, 0x6baa7d49, 0xbac6840c, 0x6b9ce39b, 0xbab16180,
+  0x6b8f45c7, 0xba9c41a0,
+  0x6b81a3cd, 0xba87246d, 0x6b73fdae, 0xba7209e7, 0x6b66536b, 0xba5cf210,
+  0x6b58a503, 0xba47dce8,
+  0x6b4af279, 0xba32ca71, 0x6b3d3bcb, 0xba1dbaaa, 0x6b2f80fb, 0xba08ad95,
+  0x6b21c208, 0xb9f3a332,
+  0x6b13fef5, 0xb9de9b83, 0x6b0637c1, 0xb9c99688, 0x6af86c6c, 0xb9b49442,
+  0x6aea9cf8, 0xb99f94b2,
+  0x6adcc964, 0xb98a97d8, 0x6acef1b2, 0xb9759db6, 0x6ac115e2, 0xb960a64c,
+  0x6ab335f4, 0xb94bb19b,
+  0x6aa551e9, 0xb936bfa4, 0x6a9769c1, 0xb921d067, 0x6a897d7d, 0xb90ce3e6,
+  0x6a7b8d1e, 0xb8f7fa21,
+  0x6a6d98a4, 0xb8e31319, 0x6a5fa010, 0xb8ce2ecf, 0x6a51a361, 0xb8b94d44,
+  0x6a43a29a, 0xb8a46e78,
+  0x6a359db9, 0xb88f926d, 0x6a2794c1, 0xb87ab922, 0x6a1987b0, 0xb865e299,
+  0x6a0b7689, 0xb8510ed4,
+  0x69fd614a, 0xb83c3dd1, 0x69ef47f6, 0xb8276f93, 0x69e12a8c, 0xb812a41a,
+  0x69d3090e, 0xb7fddb67,
+  0x69c4e37a, 0xb7e9157a, 0x69b6b9d3, 0xb7d45255, 0x69a88c19, 0xb7bf91f8,
+  0x699a5a4c, 0xb7aad465,
+  0x698c246c, 0xb796199b, 0x697dea7b, 0xb781619c, 0x696fac78, 0xb76cac69,
+  0x69616a65, 0xb757fa01,
+  0x69532442, 0xb7434a67, 0x6944da10, 0xb72e9d9b, 0x69368bce, 0xb719f39e,
+  0x6928397e, 0xb7054c6f,
+  0x6919e320, 0xb6f0a812, 0x690b88b5, 0xb6dc0685, 0x68fd2a3d, 0xb6c767ca,
+  0x68eec7b9, 0xb6b2cbe2,
+  0x68e06129, 0xb69e32cd, 0x68d1f68f, 0xb6899c8d, 0x68c387e9, 0xb6750921,
+  0x68b5153a, 0xb660788c,
+  0x68a69e81, 0xb64beacd, 0x689823bf, 0xb6375fe5, 0x6889a4f6, 0xb622d7d6,
+  0x687b2224, 0xb60e529f,
+  0x686c9b4b, 0xb5f9d043, 0x685e106c, 0xb5e550c1, 0x684f8186, 0xb5d0d41a,
+  0x6840ee9b, 0xb5bc5a50,
+  0x683257ab, 0xb5a7e362, 0x6823bcb7, 0xb5936f53, 0x68151dbe, 0xb57efe22,
+  0x68067ac3, 0xb56a8fd0,
+  0x67f7d3c5, 0xb556245e, 0x67e928c5, 0xb541bbcd, 0x67da79c3, 0xb52d561e,
+  0x67cbc6c0, 0xb518f351,
+  0x67bd0fbd, 0xb5049368, 0x67ae54ba, 0xb4f03663, 0x679f95b7, 0xb4dbdc42,
+  0x6790d2b6, 0xb4c78507,
+  0x67820bb7, 0xb4b330b3, 0x677340ba, 0xb49edf45, 0x676471c0, 0xb48a90c0,
+  0x67559eca, 0xb4764523,
+  0x6746c7d8, 0xb461fc70, 0x6737ecea, 0xb44db6a8, 0x67290e02, 0xb43973ca,
+  0x671a2b20, 0xb42533d8,
+  0x670b4444, 0xb410f6d3, 0x66fc596f, 0xb3fcbcbb, 0x66ed6aa1, 0xb3e88592,
+  0x66de77dc, 0xb3d45157,
+  0x66cf8120, 0xb3c0200c, 0x66c0866d, 0xb3abf1b2, 0x66b187c3, 0xb397c649,
+  0x66a28524, 0xb3839dd3,
+  0x66937e91, 0xb36f784f, 0x66847408, 0xb35b55bf, 0x6675658c, 0xb3473623,
+  0x6666531d, 0xb333197c,
+  0x66573cbb, 0xb31effcc, 0x66482267, 0xb30ae912, 0x66390422, 0xb2f6d550,
+  0x6629e1ec, 0xb2e2c486,
+  0x661abbc5, 0xb2ceb6b5, 0x660b91af, 0xb2baabde, 0x65fc63a9, 0xb2a6a402,
+  0x65ed31b5, 0xb2929f21,
+  0x65ddfbd3, 0xb27e9d3c, 0x65cec204, 0xb26a9e54, 0x65bf8447, 0xb256a26a,
+  0x65b0429f, 0xb242a97e,
+  0x65a0fd0b, 0xb22eb392, 0x6591b38c, 0xb21ac0a6, 0x65826622, 0xb206d0ba,
+  0x657314cf, 0xb1f2e3d0,
+  0x6563bf92, 0xb1def9e9, 0x6554666d, 0xb1cb1304, 0x6545095f, 0xb1b72f23,
+  0x6535a86b, 0xb1a34e47,
+  0x6526438f, 0xb18f7071, 0x6516dacd, 0xb17b95a0, 0x65076e25, 0xb167bdd7,
+  0x64f7fd98, 0xb153e915,
+  0x64e88926, 0xb140175b, 0x64d910d1, 0xb12c48ab, 0x64c99498, 0xb1187d05,
+  0x64ba147d, 0xb104b46a,
+  0x64aa907f, 0xb0f0eeda, 0x649b08a0, 0xb0dd2c56, 0x648b7ce0, 0xb0c96ce0,
+  0x647bed3f, 0xb0b5b077,
+  0x646c59bf, 0xb0a1f71d, 0x645cc260, 0xb08e40d2, 0x644d2722, 0xb07a8d97,
+  0x643d8806, 0xb066dd6d,
+  0x642de50d, 0xb0533055, 0x641e3e38, 0xb03f864f, 0x640e9386, 0xb02bdf5c,
+  0x63fee4f8, 0xb0183b7d,
+  0x63ef3290, 0xb0049ab3, 0x63df7c4d, 0xaff0fcfe, 0x63cfc231, 0xafdd625f,
+  0x63c0043b, 0xafc9cad7,
+  0x63b0426d, 0xafb63667, 0x63a07cc7, 0xafa2a50f, 0x6390b34a, 0xaf8f16d1,
+  0x6380e5f6, 0xaf7b8bac,
+  0x637114cc, 0xaf6803a2, 0x63613fcd, 0xaf547eb3, 0x635166f9, 0xaf40fce1,
+  0x63418a50, 0xaf2d7e2b,
+  0x6331a9d4, 0xaf1a0293, 0x6321c585, 0xaf068a1a, 0x6311dd64, 0xaef314c0,
+  0x6301f171, 0xaedfa285,
+  0x62f201ac, 0xaecc336c, 0x62e20e17, 0xaeb8c774, 0x62d216b3, 0xaea55e9e,
+  0x62c21b7e, 0xae91f8eb,
+  0x62b21c7b, 0xae7e965b, 0x62a219aa, 0xae6b36f0, 0x6292130c, 0xae57daab,
+  0x628208a1, 0xae44818b,
+  0x6271fa69, 0xae312b92, 0x6261e866, 0xae1dd8c0, 0x6251d298, 0xae0a8916,
+  0x6241b8ff, 0xadf73c96,
+  0x62319b9d, 0xade3f33e, 0x62217a72, 0xadd0ad12, 0x6211557e, 0xadbd6a10,
+  0x62012cc2, 0xadaa2a3b,
+  0x61f1003f, 0xad96ed92, 0x61e0cff5, 0xad83b416, 0x61d09be5, 0xad707dc8,
+  0x61c06410, 0xad5d4aaa,
+  0x61b02876, 0xad4a1aba, 0x619fe918, 0xad36edfc, 0x618fa5f7, 0xad23c46e,
+  0x617f5f12, 0xad109e12,
+  0x616f146c, 0xacfd7ae8, 0x615ec603, 0xacea5af2, 0x614e73da, 0xacd73e30,
+  0x613e1df0, 0xacc424a3,
+  0x612dc447, 0xacb10e4b, 0x611d66de, 0xac9dfb29, 0x610d05b7, 0xac8aeb3e,
+  0x60fca0d2, 0xac77de8b,
+  0x60ec3830, 0xac64d510, 0x60dbcbd1, 0xac51cecf, 0x60cb5bb7, 0xac3ecbc7,
+  0x60bae7e1, 0xac2bcbfa,
+  0x60aa7050, 0xac18cf69, 0x6099f505, 0xac05d613, 0x60897601, 0xabf2dffb,
+  0x6078f344, 0xabdfed1f,
+  0x60686ccf, 0xabccfd83, 0x6057e2a2, 0xabba1125, 0x604754bf, 0xaba72807,
+  0x6036c325, 0xab944229,
+  0x60262dd6, 0xab815f8d, 0x601594d1, 0xab6e8032, 0x6004f819, 0xab5ba41a,
+  0x5ff457ad, 0xab48cb46,
+  0x5fe3b38d, 0xab35f5b5, 0x5fd30bbc, 0xab23236a, 0x5fc26038, 0xab105464,
+  0x5fb1b104, 0xaafd88a4,
+  0x5fa0fe1f, 0xaaeac02c, 0x5f90478a, 0xaad7fafb, 0x5f7f8d46, 0xaac53912,
+  0x5f6ecf53, 0xaab27a73,
+  0x5f5e0db3, 0xaa9fbf1e, 0x5f4d4865, 0xaa8d0713, 0x5f3c7f6b, 0xaa7a5253,
+  0x5f2bb2c5, 0xaa67a0e0,
+  0x5f1ae274, 0xaa54f2ba, 0x5f0a0e77, 0xaa4247e1, 0x5ef936d1, 0xaa2fa056,
+  0x5ee85b82, 0xaa1cfc1a,
+  0x5ed77c8a, 0xaa0a5b2e, 0x5ec699e9, 0xa9f7bd92, 0x5eb5b3a2, 0xa9e52347,
+  0x5ea4c9b3, 0xa9d28c4e,
+  0x5e93dc1f, 0xa9bff8a8, 0x5e82eae5, 0xa9ad6855, 0x5e71f606, 0xa99adb56,
+  0x5e60fd84, 0xa98851ac,
+  0x5e50015d, 0xa975cb57, 0x5e3f0194, 0xa9634858, 0x5e2dfe29, 0xa950c8b0,
+  0x5e1cf71c, 0xa93e4c5f,
+  0x5e0bec6e, 0xa92bd367, 0x5dfade20, 0xa9195dc7, 0x5de9cc33, 0xa906eb82,
+  0x5dd8b6a7, 0xa8f47c97,
+  0x5dc79d7c, 0xa8e21106, 0x5db680b4, 0xa8cfa8d2, 0x5da5604f, 0xa8bd43fa,
+  0x5d943c4e, 0xa8aae280,
+  0x5d8314b1, 0xa8988463, 0x5d71e979, 0xa88629a5, 0x5d60baa7, 0xa873d246,
+  0x5d4f883b, 0xa8617e48,
+  0x5d3e5237, 0xa84f2daa, 0x5d2d189a, 0xa83ce06e, 0x5d1bdb65, 0xa82a9693,
+  0x5d0a9a9a, 0xa818501c,
+  0x5cf95638, 0xa8060d08, 0x5ce80e41, 0xa7f3cd59, 0x5cd6c2b5, 0xa7e1910f,
+  0x5cc57394, 0xa7cf582a,
+  0x5cb420e0, 0xa7bd22ac, 0x5ca2ca99, 0xa7aaf094, 0x5c9170bf, 0xa798c1e5,
+  0x5c801354, 0xa786969e,
+  0x5c6eb258, 0xa7746ec0, 0x5c5d4dcc, 0xa7624a4d, 0x5c4be5b0, 0xa7502943,
+  0x5c3a7a05, 0xa73e0ba5,
+  0x5c290acc, 0xa72bf174, 0x5c179806, 0xa719daae, 0x5c0621b2, 0xa707c757,
+  0x5bf4a7d2, 0xa6f5b76d,
+  0x5be32a67, 0xa6e3aaf2, 0x5bd1a971, 0xa6d1a1e7, 0x5bc024f0, 0xa6bf9c4b,
+  0x5bae9ce7, 0xa6ad9a21,
+  0x5b9d1154, 0xa69b9b68, 0x5b8b8239, 0xa689a022, 0x5b79ef96, 0xa677a84e,
+  0x5b68596d, 0xa665b3ee,
+  0x5b56bfbd, 0xa653c303, 0x5b452288, 0xa641d58c, 0x5b3381ce, 0xa62feb8b,
+  0x5b21dd90, 0xa61e0501,
+  0x5b1035cf, 0xa60c21ee, 0x5afe8a8b, 0xa5fa4252, 0x5aecdbc5, 0xa5e8662f,
+  0x5adb297d, 0xa5d68d85,
+  0x5ac973b5, 0xa5c4b855, 0x5ab7ba6c, 0xa5b2e6a0, 0x5aa5fda5, 0xa5a11866,
+  0x5a943d5e, 0xa58f4da8,
+  0x5a82799a, 0xa57d8666, 0x5a70b258, 0xa56bc2a2, 0x5a5ee79a, 0xa55a025b,
+  0x5a4d1960, 0xa5484594,
+  0x5a3b47ab, 0xa5368c4b, 0x5a29727b, 0xa524d683, 0x5a1799d1, 0xa513243b,
+  0x5a05bdae, 0xa5017575,
+  0x59f3de12, 0xa4efca31, 0x59e1faff, 0xa4de2270, 0x59d01475, 0xa4cc7e32,
+  0x59be2a74, 0xa4badd78,
+  0x59ac3cfd, 0xa4a94043, 0x599a4c12, 0xa497a693, 0x598857b2, 0xa486106a,
+  0x59765fde, 0xa4747dc7,
+  0x59646498, 0xa462eeac, 0x595265df, 0xa4516319, 0x594063b5, 0xa43fdb10,
+  0x592e5e19, 0xa42e568f,
+  0x591c550e, 0xa41cd599, 0x590a4893, 0xa40b582e, 0x58f838a9, 0xa3f9de4e,
+  0x58e62552, 0xa3e867fa,
+  0x58d40e8c, 0xa3d6f534, 0x58c1f45b, 0xa3c585fb, 0x58afd6bd, 0xa3b41a50,
+  0x589db5b3, 0xa3a2b234,
+  0x588b9140, 0xa3914da8, 0x58796962, 0xa37fecac, 0x58673e1b, 0xa36e8f41,
+  0x58550f6c, 0xa35d3567,
+  0x5842dd54, 0xa34bdf20, 0x5830a7d6, 0xa33a8c6c, 0x581e6ef1, 0xa3293d4b,
+  0x580c32a7, 0xa317f1bf,
+  0x57f9f2f8, 0xa306a9c8, 0x57e7afe4, 0xa2f56566, 0x57d5696d, 0xa2e4249b,
+  0x57c31f92, 0xa2d2e766,
+  0x57b0d256, 0xa2c1adc9, 0x579e81b8, 0xa2b077c5, 0x578c2dba, 0xa29f4559,
+  0x5779d65b, 0xa28e1687,
+  0x57677b9d, 0xa27ceb4f, 0x57551d80, 0xa26bc3b2, 0x5742bc06, 0xa25a9fb1,
+  0x5730572e, 0xa2497f4c,
+  0x571deefa, 0xa2386284, 0x570b8369, 0xa2274959, 0x56f9147e, 0xa21633cd,
+  0x56e6a239, 0xa20521e0,
+  0x56d42c99, 0xa1f41392, 0x56c1b3a1, 0xa1e308e4, 0x56af3750, 0xa1d201d7,
+  0x569cb7a8, 0xa1c0fe6c,
+  0x568a34a9, 0xa1affea3, 0x5677ae54, 0xa19f027c, 0x566524aa, 0xa18e09fa,
+  0x565297ab, 0xa17d151b,
+  0x56400758, 0xa16c23e1, 0x562d73b2, 0xa15b364d, 0x561adcb9, 0xa14a4c5e,
+  0x5608426e, 0xa1396617,
+  0x55f5a4d2, 0xa1288376, 0x55e303e6, 0xa117a47e, 0x55d05faa, 0xa106c92f,
+  0x55bdb81f, 0xa0f5f189,
+  0x55ab0d46, 0xa0e51d8c, 0x55985f20, 0xa0d44d3b, 0x5585adad, 0xa0c38095,
+  0x5572f8ed, 0xa0b2b79b,
+  0x556040e2, 0xa0a1f24d, 0x554d858d, 0xa09130ad, 0x553ac6ee, 0xa08072ba,
+  0x55280505, 0xa06fb876,
+  0x55153fd4, 0xa05f01e1, 0x5502775c, 0xa04e4efc, 0x54efab9c, 0xa03d9fc8,
+  0x54dcdc96, 0xa02cf444,
+  0x54ca0a4b, 0xa01c4c73, 0x54b734ba, 0xa00ba853, 0x54a45be6, 0x9ffb07e7,
+  0x54917fce, 0x9fea6b2f,
+  0x547ea073, 0x9fd9d22a, 0x546bbdd7, 0x9fc93cdb, 0x5458d7f9, 0x9fb8ab41,
+  0x5445eedb, 0x9fa81d5e,
+  0x5433027d, 0x9f979331, 0x542012e1, 0x9f870cbc, 0x540d2005, 0x9f7689ff,
+  0x53fa29ed, 0x9f660afb,
+  0x53e73097, 0x9f558fb0, 0x53d43406, 0x9f45181f, 0x53c13439, 0x9f34a449,
+  0x53ae3131, 0x9f24342f,
+  0x539b2af0, 0x9f13c7d0, 0x53882175, 0x9f035f2e, 0x537514c2, 0x9ef2fa49,
+  0x536204d7, 0x9ee29922,
+  0x534ef1b5, 0x9ed23bb9, 0x533bdb5d, 0x9ec1e210, 0x5328c1d0, 0x9eb18c26,
+  0x5315a50e, 0x9ea139fd,
+  0x53028518, 0x9e90eb94, 0x52ef61ee, 0x9e80a0ee, 0x52dc3b92, 0x9e705a09,
+  0x52c91204, 0x9e6016e8,
+  0x52b5e546, 0x9e4fd78a, 0x52a2b556, 0x9e3f9bf0, 0x528f8238, 0x9e2f641b,
+  0x527c4bea, 0x9e1f300b,
+  0x5269126e, 0x9e0effc1, 0x5255d5c5, 0x9dfed33e, 0x524295f0, 0x9deeaa82,
+  0x522f52ee, 0x9dde858e,
+  0x521c0cc2, 0x9dce6463, 0x5208c36a, 0x9dbe4701, 0x51f576ea, 0x9dae2d68,
+  0x51e22740, 0x9d9e179a,
+  0x51ced46e, 0x9d8e0597, 0x51bb7e75, 0x9d7df75f, 0x51a82555, 0x9d6decf4,
+  0x5194c910, 0x9d5de656,
+  0x518169a5, 0x9d4de385, 0x516e0715, 0x9d3de482, 0x515aa162, 0x9d2de94d,
+  0x5147388c, 0x9d1df1e9,
+  0x5133cc94, 0x9d0dfe54, 0x51205d7b, 0x9cfe0e8f, 0x510ceb40, 0x9cee229c,
+  0x50f975e6, 0x9cde3a7b,
+  0x50e5fd6d, 0x9cce562c, 0x50d281d5, 0x9cbe75b0, 0x50bf031f, 0x9cae9907,
+  0x50ab814d, 0x9c9ec033,
+  0x5097fc5e, 0x9c8eeb34, 0x50847454, 0x9c7f1a0a, 0x5070e92f, 0x9c6f4cb6,
+  0x505d5af1, 0x9c5f8339,
+  0x5049c999, 0x9c4fbd93, 0x50363529, 0x9c3ffbc5, 0x50229da1, 0x9c303dcf,
+  0x500f0302, 0x9c2083b3,
+  0x4ffb654d, 0x9c10cd70, 0x4fe7c483, 0x9c011b08, 0x4fd420a4, 0x9bf16c7a,
+  0x4fc079b1, 0x9be1c1c8,
+  0x4faccfab, 0x9bd21af3, 0x4f992293, 0x9bc277fa, 0x4f857269, 0x9bb2d8de,
+  0x4f71bf2e, 0x9ba33da0,
+  0x4f5e08e3, 0x9b93a641, 0x4f4a4f89, 0x9b8412c1, 0x4f369320, 0x9b748320,
+  0x4f22d3aa, 0x9b64f760,
+  0x4f0f1126, 0x9b556f81, 0x4efb4b96, 0x9b45eb83, 0x4ee782fb, 0x9b366b68,
+  0x4ed3b755, 0x9b26ef2f,
+  0x4ebfe8a5, 0x9b1776da, 0x4eac16eb, 0x9b080268, 0x4e984229, 0x9af891db,
+  0x4e846a60, 0x9ae92533,
+  0x4e708f8f, 0x9ad9bc71, 0x4e5cb1b9, 0x9aca5795, 0x4e48d0dd, 0x9abaf6a1,
+  0x4e34ecfc, 0x9aab9993,
+  0x4e210617, 0x9a9c406e, 0x4e0d1c30, 0x9a8ceb31, 0x4df92f46, 0x9a7d99de,
+  0x4de53f5a, 0x9a6e4c74,
+  0x4dd14c6e, 0x9a5f02f5, 0x4dbd5682, 0x9a4fbd61, 0x4da95d96, 0x9a407bb9,
+  0x4d9561ac, 0x9a313dfc,
+  0x4d8162c4, 0x9a22042d, 0x4d6d60df, 0x9a12ce4b, 0x4d595bfe, 0x9a039c57,
+  0x4d455422, 0x99f46e51,
+  0x4d31494b, 0x99e5443b, 0x4d1d3b7a, 0x99d61e14, 0x4d092ab0, 0x99c6fbde,
+  0x4cf516ee, 0x99b7dd99,
+  0x4ce10034, 0x99a8c345, 0x4ccce684, 0x9999ace3, 0x4cb8c9dd, 0x998a9a74,
+  0x4ca4aa41, 0x997b8bf8,
+  0x4c9087b1, 0x996c816f, 0x4c7c622d, 0x995d7adc, 0x4c6839b7, 0x994e783d,
+  0x4c540e4e, 0x993f7993,
+  0x4c3fdff4, 0x99307ee0, 0x4c2baea9, 0x99218824, 0x4c177a6e, 0x9912955f,
+  0x4c034345, 0x9903a691,
+  0x4bef092d, 0x98f4bbbc, 0x4bdacc28, 0x98e5d4e0, 0x4bc68c36, 0x98d6f1fe,
+  0x4bb24958, 0x98c81316,
+  0x4b9e0390, 0x98b93828, 0x4b89badd, 0x98aa6136, 0x4b756f40, 0x989b8e40,
+  0x4b6120bb, 0x988cbf46,
+  0x4b4ccf4d, 0x987df449, 0x4b387af9, 0x986f2d4a, 0x4b2423be, 0x98606a49,
+  0x4b0fc99d, 0x9851ab46,
+  0x4afb6c98, 0x9842f043, 0x4ae70caf, 0x98343940, 0x4ad2a9e2, 0x9825863d,
+  0x4abe4433, 0x9816d73b,
+  0x4aa9dba2, 0x98082c3b, 0x4a957030, 0x97f9853d, 0x4a8101de, 0x97eae242,
+  0x4a6c90ad, 0x97dc4349,
+  0x4a581c9e, 0x97cda855, 0x4a43a5b0, 0x97bf1165, 0x4a2f2be6, 0x97b07e7a,
+  0x4a1aaf3f, 0x97a1ef94,
+  0x4a062fbd, 0x979364b5, 0x49f1ad61, 0x9784dddc, 0x49dd282a, 0x97765b0a,
+  0x49c8a01b, 0x9767dc41,
+  0x49b41533, 0x9759617f, 0x499f8774, 0x974aeac6, 0x498af6df, 0x973c7817,
+  0x49766373, 0x972e0971,
+  0x4961cd33, 0x971f9ed7, 0x494d341e, 0x97113847, 0x49389836, 0x9702d5c3,
+  0x4923f97b, 0x96f4774b,
+  0x490f57ee, 0x96e61ce0, 0x48fab391, 0x96d7c682, 0x48e60c62, 0x96c97432,
+  0x48d16265, 0x96bb25f0,
+  0x48bcb599, 0x96acdbbe, 0x48a805ff, 0x969e959b, 0x48935397, 0x96905388,
+  0x487e9e64, 0x96821585,
+  0x4869e665, 0x9673db94, 0x48552b9b, 0x9665a5b4, 0x48406e08, 0x965773e7,
+  0x482badab, 0x9649462d,
+  0x4816ea86, 0x963b1c86, 0x48022499, 0x962cf6f2, 0x47ed5be6, 0x961ed574,
+  0x47d8906d, 0x9610b80a,
+  0x47c3c22f, 0x96029eb6, 0x47aef12c, 0x95f48977, 0x479a1d67, 0x95e67850,
+  0x478546de, 0x95d86b3f,
+  0x47706d93, 0x95ca6247, 0x475b9188, 0x95bc5d66, 0x4746b2bc, 0x95ae5c9f,
+  0x4731d131, 0x95a05ff0,
+  0x471cece7, 0x9592675c, 0x470805df, 0x958472e2, 0x46f31c1a, 0x95768283,
+  0x46de2f99, 0x9568963f,
+  0x46c9405c, 0x955aae17, 0x46b44e65, 0x954cca0c, 0x469f59b4, 0x953eea1e,
+  0x468a624a, 0x95310e4e,
+  0x46756828, 0x9523369c, 0x46606b4e, 0x95156308, 0x464b6bbe, 0x95079394,
+  0x46366978, 0x94f9c83f,
+  0x4621647d, 0x94ec010b, 0x460c5cce, 0x94de3df8, 0x45f7526b, 0x94d07f05,
+  0x45e24556, 0x94c2c435,
+  0x45cd358f, 0x94b50d87, 0x45b82318, 0x94a75afd, 0x45a30df0, 0x9499ac95,
+  0x458df619, 0x948c0252,
+  0x4578db93, 0x947e5c33, 0x4563be60, 0x9470ba39, 0x454e9e80, 0x94631c65,
+  0x45397bf4, 0x945582b7,
+  0x452456bd, 0x9447ed2f, 0x450f2edb, 0x943a5bcf, 0x44fa0450, 0x942cce96,
+  0x44e4d71c, 0x941f4585,
+  0x44cfa740, 0x9411c09e, 0x44ba74bd, 0x94043fdf, 0x44a53f93, 0x93f6c34a,
+  0x449007c4, 0x93e94adf,
+  0x447acd50, 0x93dbd6a0, 0x44659039, 0x93ce668b, 0x4450507e, 0x93c0faa3,
+  0x443b0e21, 0x93b392e6,
+  0x4425c923, 0x93a62f57, 0x44108184, 0x9398cff5, 0x43fb3746, 0x938b74c1,
+  0x43e5ea68, 0x937e1dbb,
+  0x43d09aed, 0x9370cae4, 0x43bb48d4, 0x93637c3d, 0x43a5f41e, 0x935631c5,
+  0x43909ccd, 0x9348eb7e,
+  0x437b42e1, 0x933ba968, 0x4365e65b, 0x932e6b84, 0x4350873c, 0x932131d1,
+  0x433b2585, 0x9313fc51,
+  0x4325c135, 0x9306cb04, 0x43105a50, 0x92f99deb, 0x42faf0d4, 0x92ec7505,
+  0x42e584c3, 0x92df5054,
+  0x42d0161e, 0x92d22fd9, 0x42baa4e6, 0x92c51392, 0x42a5311b, 0x92b7fb82,
+  0x428fbabe, 0x92aae7a8,
+  0x427a41d0, 0x929dd806, 0x4264c653, 0x9290cc9b, 0x424f4845, 0x9283c568,
+  0x4239c7aa, 0x9276c26d,
+  0x42244481, 0x9269c3ac, 0x420ebecb, 0x925cc924, 0x41f93689, 0x924fd2d7,
+  0x41e3abbc, 0x9242e0c4,
+  0x41ce1e65, 0x9235f2ec, 0x41b88e84, 0x9229094f, 0x41a2fc1a, 0x921c23ef,
+  0x418d6729, 0x920f42cb,
+  0x4177cfb1, 0x920265e4, 0x416235b2, 0x91f58d3b, 0x414c992f, 0x91e8b8d0,
+  0x4136fa27, 0x91dbe8a4,
+  0x4121589b, 0x91cf1cb6, 0x410bb48c, 0x91c25508, 0x40f60dfb, 0x91b5919a,
+  0x40e064ea, 0x91a8d26d,
+  0x40cab958, 0x919c1781, 0x40b50b46, 0x918f60d6, 0x409f5ab6, 0x9182ae6d,
+  0x4089a7a8, 0x91760047,
+  0x4073f21d, 0x91695663, 0x405e3a16, 0x915cb0c3, 0x40487f94, 0x91500f67,
+  0x4032c297, 0x91437250,
+  0x401d0321, 0x9136d97d, 0x40074132, 0x912a44f0, 0x3ff17cca, 0x911db4a9,
+  0x3fdbb5ec, 0x911128a8,
+  0x3fc5ec98, 0x9104a0ee, 0x3fb020ce, 0x90f81d7b, 0x3f9a5290, 0x90eb9e50,
+  0x3f8481dd, 0x90df236e,
+  0x3f6eaeb8, 0x90d2acd4, 0x3f58d921, 0x90c63a83, 0x3f430119, 0x90b9cc7d,
+  0x3f2d26a0, 0x90ad62c0,
+  0x3f1749b8, 0x90a0fd4e, 0x3f016a61, 0x90949c28, 0x3eeb889c, 0x90883f4d,
+  0x3ed5a46b, 0x907be6be,
+  0x3ebfbdcd, 0x906f927c, 0x3ea9d4c3, 0x90634287, 0x3e93e950, 0x9056f6df,
+  0x3e7dfb73, 0x904aaf86,
+  0x3e680b2c, 0x903e6c7b, 0x3e52187f, 0x90322dbf, 0x3e3c2369, 0x9025f352,
+  0x3e262bee, 0x9019bd36,
+  0x3e10320d, 0x900d8b69, 0x3dfa35c8, 0x90015dee, 0x3de4371f, 0x8ff534c4,
+  0x3dce3614, 0x8fe90fec,
+  0x3db832a6, 0x8fdcef66, 0x3da22cd7, 0x8fd0d333, 0x3d8c24a8, 0x8fc4bb53,
+  0x3d761a19, 0x8fb8a7c7,
+  0x3d600d2c, 0x8fac988f, 0x3d49fde1, 0x8fa08dab, 0x3d33ec39, 0x8f94871d,
+  0x3d1dd835, 0x8f8884e4,
+  0x3d07c1d6, 0x8f7c8701, 0x3cf1a91c, 0x8f708d75, 0x3cdb8e09, 0x8f649840,
+  0x3cc5709e, 0x8f58a761,
+  0x3caf50da, 0x8f4cbadb, 0x3c992ec0, 0x8f40d2ad, 0x3c830a50, 0x8f34eed8,
+  0x3c6ce38a, 0x8f290f5c,
+  0x3c56ba70, 0x8f1d343a, 0x3c408f03, 0x8f115d72, 0x3c2a6142, 0x8f058b04,
+  0x3c143130, 0x8ef9bcf2,
+  0x3bfdfecd, 0x8eedf33b, 0x3be7ca1a, 0x8ee22de0, 0x3bd19318, 0x8ed66ce1,
+  0x3bbb59c7, 0x8ecab040,
+  0x3ba51e29, 0x8ebef7fb, 0x3b8ee03e, 0x8eb34415, 0x3b78a007, 0x8ea7948c,
+  0x3b625d86, 0x8e9be963,
+  0x3b4c18ba, 0x8e904298, 0x3b35d1a5, 0x8e84a02d, 0x3b1f8848, 0x8e790222,
+  0x3b093ca3, 0x8e6d6877,
+  0x3af2eeb7, 0x8e61d32e, 0x3adc9e86, 0x8e564246, 0x3ac64c0f, 0x8e4ab5bf,
+  0x3aaff755, 0x8e3f2d9b,
+  0x3a99a057, 0x8e33a9da, 0x3a834717, 0x8e282a7b, 0x3a6ceb96, 0x8e1caf80,
+  0x3a568dd4, 0x8e1138ea,
+  0x3a402dd2, 0x8e05c6b7, 0x3a29cb91, 0x8dfa58ea, 0x3a136712, 0x8deeef82,
+  0x39fd0056, 0x8de38a80,
+  0x39e6975e, 0x8dd829e4, 0x39d02c2a, 0x8dcccdaf, 0x39b9bebc, 0x8dc175e0,
+  0x39a34f13, 0x8db6227a,
+  0x398cdd32, 0x8daad37b, 0x39766919, 0x8d9f88e5, 0x395ff2c9, 0x8d9442b8,
+  0x39497a43, 0x8d8900f3,
+  0x3932ff87, 0x8d7dc399, 0x391c8297, 0x8d728aa9, 0x39060373, 0x8d675623,
+  0x38ef821c, 0x8d5c2609,
+  0x38d8fe93, 0x8d50fa59, 0x38c278d9, 0x8d45d316, 0x38abf0ef, 0x8d3ab03f,
+  0x389566d6, 0x8d2f91d5,
+  0x387eda8e, 0x8d2477d8, 0x38684c19, 0x8d196249, 0x3851bb77, 0x8d0e5127,
+  0x383b28a9, 0x8d034474,
+  0x382493b0, 0x8cf83c30, 0x380dfc8d, 0x8ced385b, 0x37f76341, 0x8ce238f6,
+  0x37e0c7cc, 0x8cd73e01,
+  0x37ca2a30, 0x8ccc477d, 0x37b38a6d, 0x8cc1556a, 0x379ce885, 0x8cb667c8,
+  0x37864477, 0x8cab7e98,
+  0x376f9e46, 0x8ca099da, 0x3758f5f2, 0x8c95b98f, 0x37424b7b, 0x8c8addb7,
+  0x372b9ee3, 0x8c800652,
+  0x3714f02a, 0x8c753362, 0x36fe3f52, 0x8c6a64e5, 0x36e78c5b, 0x8c5f9ade,
+  0x36d0d746, 0x8c54d54c,
+  0x36ba2014, 0x8c4a142f, 0x36a366c6, 0x8c3f5788, 0x368cab5c, 0x8c349f58,
+  0x3675edd9, 0x8c29eb9f,
+  0x365f2e3b, 0x8c1f3c5d, 0x36486c86, 0x8c149192, 0x3631a8b8, 0x8c09eb40,
+  0x361ae2d3, 0x8bff4966,
+  0x36041ad9, 0x8bf4ac05, 0x35ed50c9, 0x8bea131e, 0x35d684a6, 0x8bdf7eb0,
+  0x35bfb66e, 0x8bd4eebc,
+  0x35a8e625, 0x8bca6343, 0x359213c9, 0x8bbfdc44, 0x357b3f5d, 0x8bb559c1,
+  0x356468e2, 0x8baadbba,
+  0x354d9057, 0x8ba0622f, 0x3536b5be, 0x8b95ed21, 0x351fd918, 0x8b8b7c8f,
+  0x3508fa66, 0x8b81107b,
+  0x34f219a8, 0x8b76a8e4, 0x34db36df, 0x8b6c45cc, 0x34c4520d, 0x8b61e733,
+  0x34ad6b32, 0x8b578d18,
+  0x34968250, 0x8b4d377c, 0x347f9766, 0x8b42e661, 0x3468aa76, 0x8b3899c6,
+  0x3451bb81, 0x8b2e51ab,
+  0x343aca87, 0x8b240e11, 0x3423d78a, 0x8b19cef8, 0x340ce28b, 0x8b0f9462,
+  0x33f5eb89, 0x8b055e4d,
+  0x33def287, 0x8afb2cbb, 0x33c7f785, 0x8af0ffac, 0x33b0fa84, 0x8ae6d720,
+  0x3399fb85, 0x8adcb318,
+  0x3382fa88, 0x8ad29394, 0x336bf78f, 0x8ac87894, 0x3354f29b, 0x8abe6219,
+  0x333debab, 0x8ab45024,
+  0x3326e2c3, 0x8aaa42b4, 0x330fd7e1, 0x8aa039cb, 0x32f8cb07, 0x8a963567,
+  0x32e1bc36, 0x8a8c358b,
+  0x32caab6f, 0x8a823a36, 0x32b398b3, 0x8a784368, 0x329c8402, 0x8a6e5123,
+  0x32856d5e, 0x8a646365,
+  0x326e54c7, 0x8a5a7a31, 0x32573a3f, 0x8a509585, 0x32401dc6, 0x8a46b564,
+  0x3228ff5c, 0x8a3cd9cc,
+  0x3211df04, 0x8a3302be, 0x31fabcbd, 0x8a29303b, 0x31e39889, 0x8a1f6243,
+  0x31cc7269, 0x8a1598d6,
+  0x31b54a5e, 0x8a0bd3f5, 0x319e2067, 0x8a0213a0, 0x3186f487, 0x89f857d8,
+  0x316fc6be, 0x89eea09d,
+  0x3158970e, 0x89e4edef, 0x31416576, 0x89db3fcf, 0x312a31f8, 0x89d1963c,
+  0x3112fc95, 0x89c7f138,
+  0x30fbc54d, 0x89be50c3, 0x30e48c22, 0x89b4b4dd, 0x30cd5115, 0x89ab1d87,
+  0x30b61426, 0x89a18ac0,
+  0x309ed556, 0x8997fc8a, 0x308794a6, 0x898e72e4, 0x30705217, 0x8984edcf,
+  0x30590dab, 0x897b6d4c,
+  0x3041c761, 0x8971f15a, 0x302a7f3a, 0x896879fb, 0x30133539, 0x895f072e,
+  0x2ffbe95d, 0x895598f3,
+  0x2fe49ba7, 0x894c2f4c, 0x2fcd4c19, 0x8942ca39, 0x2fb5fab2, 0x893969b9,
+  0x2f9ea775, 0x89300dce,
+  0x2f875262, 0x8926b677, 0x2f6ffb7a, 0x891d63b5, 0x2f58a2be, 0x89141589,
+  0x2f41482e, 0x890acbf2,
+  0x2f29ebcc, 0x890186f2, 0x2f128d99, 0x88f84687, 0x2efb2d95, 0x88ef0ab4,
+  0x2ee3cbc1, 0x88e5d378,
+  0x2ecc681e, 0x88dca0d3, 0x2eb502ae, 0x88d372c6, 0x2e9d9b70, 0x88ca4951,
+  0x2e863267, 0x88c12475,
+  0x2e6ec792, 0x88b80432, 0x2e575af3, 0x88aee888, 0x2e3fec8b, 0x88a5d177,
+  0x2e287c5a, 0x889cbf01,
+  0x2e110a62, 0x8893b125, 0x2df996a3, 0x888aa7e3, 0x2de2211e, 0x8881a33d,
+  0x2dcaa9d5, 0x8878a332,
+  0x2db330c7, 0x886fa7c2, 0x2d9bb5f6, 0x8866b0ef, 0x2d843964, 0x885dbeb8,
+  0x2d6cbb10, 0x8854d11e,
+  0x2d553afc, 0x884be821, 0x2d3db928, 0x884303c1, 0x2d263596, 0x883a23ff,
+  0x2d0eb046, 0x883148db,
+  0x2cf72939, 0x88287256, 0x2cdfa071, 0x881fa06f, 0x2cc815ee, 0x8816d327,
+  0x2cb089b1, 0x880e0a7f,
+  0x2c98fbba, 0x88054677, 0x2c816c0c, 0x87fc870f, 0x2c69daa6, 0x87f3cc48,
+  0x2c52478a, 0x87eb1621,
+  0x2c3ab2b9, 0x87e2649b, 0x2c231c33, 0x87d9b7b7, 0x2c0b83fa, 0x87d10f75,
+  0x2bf3ea0d, 0x87c86bd5,
+  0x2bdc4e6f, 0x87bfccd7, 0x2bc4b120, 0x87b7327d, 0x2bad1221, 0x87ae9cc5,
+  0x2b957173, 0x87a60bb1,
+  0x2b7dcf17, 0x879d7f41, 0x2b662b0e, 0x8794f774, 0x2b4e8558, 0x878c744d,
+  0x2b36ddf7, 0x8783f5ca,
+  0x2b1f34eb, 0x877b7bec, 0x2b078a36, 0x877306b4, 0x2aefddd8, 0x876a9621,
+  0x2ad82fd2, 0x87622a35,
+  0x2ac08026, 0x8759c2ef, 0x2aa8ced3, 0x87516050, 0x2a911bdc, 0x87490258,
+  0x2a796740, 0x8740a907,
+  0x2a61b101, 0x8738545e, 0x2a49f920, 0x8730045d, 0x2a323f9e, 0x8727b905,
+  0x2a1a847b, 0x871f7255,
+  0x2a02c7b8, 0x8717304e, 0x29eb0957, 0x870ef2f1, 0x29d34958, 0x8706ba3d,
+  0x29bb87bc, 0x86fe8633,
+  0x29a3c485, 0x86f656d3, 0x298bffb2, 0x86ee2c1e, 0x29743946, 0x86e60614,
+  0x295c7140, 0x86dde4b5,
+  0x2944a7a2, 0x86d5c802, 0x292cdc6d, 0x86cdaffa, 0x29150fa1, 0x86c59c9f,
+  0x28fd4140, 0x86bd8df0,
+  0x28e5714b, 0x86b583ee, 0x28cd9fc1, 0x86ad7e99, 0x28b5cca5, 0x86a57df2,
+  0x289df7f8, 0x869d81f8,
+  0x288621b9, 0x86958aac, 0x286e49ea, 0x868d980e, 0x2856708d, 0x8685aa20,
+  0x283e95a1, 0x867dc0e0,
+  0x2826b928, 0x8675dc4f, 0x280edb23, 0x866dfc6e, 0x27f6fb92, 0x8666213c,
+  0x27df1a77, 0x865e4abb,
+  0x27c737d3, 0x865678eb, 0x27af53a6, 0x864eabcb, 0x27976df1, 0x8646e35c,
+  0x277f86b5, 0x863f1f9e,
+  0x27679df4, 0x86376092, 0x274fb3ae, 0x862fa638, 0x2737c7e3, 0x8627f091,
+  0x271fda96, 0x86203f9c,
+  0x2707ebc7, 0x86189359, 0x26effb76, 0x8610ebca, 0x26d809a5, 0x860948ef,
+  0x26c01655, 0x8601aac7,
+  0x26a82186, 0x85fa1153, 0x26902b39, 0x85f27c93, 0x26783370, 0x85eaec88,
+  0x26603a2c, 0x85e36132,
+  0x26483f6c, 0x85dbda91, 0x26304333, 0x85d458a6, 0x26184581, 0x85ccdb70,
+  0x26004657, 0x85c562f1,
+  0x25e845b6, 0x85bdef28, 0x25d0439f, 0x85b68015, 0x25b84012, 0x85af15b9,
+  0x25a03b11, 0x85a7b015,
+  0x2588349d, 0x85a04f28, 0x25702cb7, 0x8598f2f3, 0x2558235f, 0x85919b76,
+  0x25401896, 0x858a48b1,
+  0x25280c5e, 0x8582faa5, 0x250ffeb7, 0x857bb152, 0x24f7efa2, 0x85746cb8,
+  0x24dfdf20, 0x856d2cd7,
+  0x24c7cd33, 0x8565f1b0, 0x24afb9da, 0x855ebb44, 0x2497a517, 0x85578991,
+  0x247f8eec, 0x85505c99,
+  0x24677758, 0x8549345c, 0x244f5e5c, 0x854210db, 0x243743fa, 0x853af214,
+  0x241f2833, 0x8533d809,
+  0x24070b08, 0x852cc2bb, 0x23eeec78, 0x8525b228, 0x23d6cc87, 0x851ea652,
+  0x23beab33, 0x85179f39,
+  0x23a6887f, 0x85109cdd, 0x238e646a, 0x85099f3e, 0x23763ef7, 0x8502a65c,
+  0x235e1826, 0x84fbb239,
+  0x2345eff8, 0x84f4c2d4, 0x232dc66d, 0x84edd82d, 0x23159b88, 0x84e6f244,
+  0x22fd6f48, 0x84e0111b,
+  0x22e541af, 0x84d934b1, 0x22cd12bd, 0x84d25d06, 0x22b4e274, 0x84cb8a1b,
+  0x229cb0d5, 0x84c4bbf0,
+  0x22847de0, 0x84bdf286, 0x226c4996, 0x84b72ddb, 0x225413f8, 0x84b06df2,
+  0x223bdd08, 0x84a9b2ca,
+  0x2223a4c5, 0x84a2fc62, 0x220b6b32, 0x849c4abd, 0x21f3304f, 0x84959dd9,
+  0x21daf41d, 0x848ef5b7,
+  0x21c2b69c, 0x84885258, 0x21aa77cf, 0x8481b3bb, 0x219237b5, 0x847b19e1,
+  0x2179f64f, 0x847484ca,
+  0x2161b3a0, 0x846df477, 0x21496fa7, 0x846768e7, 0x21312a65, 0x8460e21a,
+  0x2118e3dc, 0x845a6012,
+  0x21009c0c, 0x8453e2cf, 0x20e852f6, 0x844d6a50, 0x20d0089c, 0x8446f695,
+  0x20b7bcfe, 0x844087a0,
+  0x209f701c, 0x843a1d70, 0x208721f9, 0x8433b806, 0x206ed295, 0x842d5762,
+  0x205681f1, 0x8426fb84,
+  0x203e300d, 0x8420a46c, 0x2025dcec, 0x841a521a, 0x200d888d, 0x84140490,
+  0x1ff532f2, 0x840dbbcc,
+  0x1fdcdc1b, 0x840777d0, 0x1fc4840a, 0x8401389b, 0x1fac2abf, 0x83fafe2e,
+  0x1f93d03c, 0x83f4c889,
+  0x1f7b7481, 0x83ee97ad, 0x1f63178f, 0x83e86b99, 0x1f4ab968, 0x83e2444d,
+  0x1f325a0b, 0x83dc21cb,
+  0x1f19f97b, 0x83d60412, 0x1f0197b8, 0x83cfeb22, 0x1ee934c3, 0x83c9d6fc,
+  0x1ed0d09d, 0x83c3c7a0,
+  0x1eb86b46, 0x83bdbd0e, 0x1ea004c1, 0x83b7b746, 0x1e879d0d, 0x83b1b649,
+  0x1e6f342c, 0x83abba17,
+  0x1e56ca1e, 0x83a5c2b0, 0x1e3e5ee5, 0x839fd014, 0x1e25f282, 0x8399e244,
+  0x1e0d84f5, 0x8393f940,
+  0x1df5163f, 0x838e1507, 0x1ddca662, 0x8388359b, 0x1dc4355e, 0x83825afb,
+  0x1dabc334, 0x837c8528,
+  0x1d934fe5, 0x8376b422, 0x1d7adb73, 0x8370e7e9, 0x1d6265dd, 0x836b207d,
+  0x1d49ef26, 0x83655ddf,
+  0x1d31774d, 0x835fa00f, 0x1d18fe54, 0x8359e70d, 0x1d00843d, 0x835432d8,
+  0x1ce80906, 0x834e8373,
+  0x1ccf8cb3, 0x8348d8dc, 0x1cb70f43, 0x83433314, 0x1c9e90b8, 0x833d921b,
+  0x1c861113, 0x8337f5f1,
+  0x1c6d9053, 0x83325e97, 0x1c550e7c, 0x832ccc0d, 0x1c3c8b8c, 0x83273e52,
+  0x1c240786, 0x8321b568,
+  0x1c0b826a, 0x831c314e, 0x1bf2fc3a, 0x8316b205, 0x1bda74f6, 0x8311378d,
+  0x1bc1ec9e, 0x830bc1e6,
+  0x1ba96335, 0x83065110, 0x1b90d8bb, 0x8300e50b, 0x1b784d30, 0x82fb7dd8,
+  0x1b5fc097, 0x82f61b77,
+  0x1b4732ef, 0x82f0bde8, 0x1b2ea43a, 0x82eb652b, 0x1b161479, 0x82e61141,
+  0x1afd83ad, 0x82e0c22a,
+  0x1ae4f1d6, 0x82db77e5, 0x1acc5ef6, 0x82d63274, 0x1ab3cb0d, 0x82d0f1d5,
+  0x1a9b361d, 0x82cbb60b,
+  0x1a82a026, 0x82c67f14, 0x1a6a0929, 0x82c14cf1, 0x1a517128, 0x82bc1fa2,
+  0x1a38d823, 0x82b6f727,
+  0x1a203e1b, 0x82b1d381, 0x1a07a311, 0x82acb4b0, 0x19ef0707, 0x82a79ab3,
+  0x19d669fc, 0x82a2858c,
+  0x19bdcbf3, 0x829d753a, 0x19a52ceb, 0x829869be, 0x198c8ce7, 0x82936317,
+  0x1973ebe6, 0x828e6146,
+  0x195b49ea, 0x8289644b, 0x1942a6f3, 0x82846c26, 0x192a0304, 0x827f78d8,
+  0x19115e1c, 0x827a8a61,
+  0x18f8b83c, 0x8275a0c0, 0x18e01167, 0x8270bbf7, 0x18c7699b, 0x826bdc04,
+  0x18aec0db, 0x826700e9,
+  0x18961728, 0x82622aa6, 0x187d6c82, 0x825d593a, 0x1864c0ea, 0x82588ca7,
+  0x184c1461, 0x8253c4eb,
+  0x183366e9, 0x824f0208, 0x181ab881, 0x824a43fe, 0x1802092c, 0x82458acc,
+  0x17e958ea, 0x8240d673,
+  0x17d0a7bc, 0x823c26f3, 0x17b7f5a3, 0x82377c4c, 0x179f429f, 0x8232d67f,
+  0x17868eb3, 0x822e358b,
+  0x176dd9de, 0x82299971, 0x17552422, 0x82250232, 0x173c6d80, 0x82206fcc,
+  0x1723b5f9, 0x821be240,
+  0x170afd8d, 0x82175990, 0x16f2443e, 0x8212d5b9, 0x16d98a0c, 0x820e56be,
+  0x16c0cef9, 0x8209dc9e,
+  0x16a81305, 0x82056758, 0x168f5632, 0x8200f6ef, 0x1676987f, 0x81fc8b60,
+  0x165dd9f0, 0x81f824ae,
+  0x16451a83, 0x81f3c2d7, 0x162c5a3b, 0x81ef65dc, 0x16139918, 0x81eb0dbe,
+  0x15fad71b, 0x81e6ba7c,
+  0x15e21445, 0x81e26c16, 0x15c95097, 0x81de228d, 0x15b08c12, 0x81d9dde1,
+  0x1597c6b7, 0x81d59e13,
+  0x157f0086, 0x81d16321, 0x15663982, 0x81cd2d0c, 0x154d71aa, 0x81c8fbd6,
+  0x1534a901, 0x81c4cf7d,
+  0x151bdf86, 0x81c0a801, 0x1503153a, 0x81bc8564, 0x14ea4a1f, 0x81b867a5,
+  0x14d17e36, 0x81b44ec4,
+  0x14b8b17f, 0x81b03ac2, 0x149fe3fc, 0x81ac2b9e, 0x148715ae, 0x81a82159,
+  0x146e4694, 0x81a41bf4,
+  0x145576b1, 0x81a01b6d, 0x143ca605, 0x819c1fc5, 0x1423d492, 0x819828fd,
+  0x140b0258, 0x81943715,
+  0x13f22f58, 0x81904a0c, 0x13d95b93, 0x818c61e3, 0x13c0870a, 0x81887e9a,
+  0x13a7b1bf, 0x8184a032,
+  0x138edbb1, 0x8180c6a9, 0x137604e2, 0x817cf201, 0x135d2d53, 0x8179223a,
+  0x13445505, 0x81755754,
+  0x132b7bf9, 0x8171914e, 0x1312a230, 0x816dd02a, 0x12f9c7aa, 0x816a13e6,
+  0x12e0ec6a, 0x81665c84,
+  0x12c8106f, 0x8162aa04, 0x12af33ba, 0x815efc65, 0x1296564d, 0x815b53a8,
+  0x127d7829, 0x8157afcd,
+  0x1264994e, 0x815410d4, 0x124bb9be, 0x815076bd, 0x1232d979, 0x814ce188,
+  0x1219f880, 0x81495136,
+  0x120116d5, 0x8145c5c7, 0x11e83478, 0x81423f3a, 0x11cf516a, 0x813ebd90,
+  0x11b66dad, 0x813b40ca,
+  0x119d8941, 0x8137c8e6, 0x1184a427, 0x813455e6, 0x116bbe60, 0x8130e7c9,
+  0x1152d7ed, 0x812d7e8f,
+  0x1139f0cf, 0x812a1a3a, 0x11210907, 0x8126bac8, 0x11082096, 0x8123603a,
+  0x10ef377d, 0x81200a90,
+  0x10d64dbd, 0x811cb9ca, 0x10bd6356, 0x81196de9, 0x10a4784b, 0x811626ec,
+  0x108b8c9b, 0x8112e4d4,
+  0x1072a048, 0x810fa7a0, 0x1059b352, 0x810c6f52, 0x1040c5bb, 0x81093be8,
+  0x1027d784, 0x81060d63,
+  0x100ee8ad, 0x8102e3c4, 0xff5f938, 0x80ffbf0a, 0xfdd0926, 0x80fc9f35,
+  0xfc41876, 0x80f98446,
+  0xfab272b, 0x80f66e3c, 0xf923546, 0x80f35d19, 0xf7942c7, 0x80f050db,
+  0xf604faf, 0x80ed4984,
+  0xf475bff, 0x80ea4712, 0xf2e67b8, 0x80e74987, 0xf1572dc, 0x80e450e2,
+  0xefc7d6b, 0x80e15d24,
+  0xee38766, 0x80de6e4c, 0xeca90ce, 0x80db845b, 0xeb199a4, 0x80d89f51,
+  0xe98a1e9, 0x80d5bf2e,
+  0xe7fa99e, 0x80d2e3f2, 0xe66b0c3, 0x80d00d9d, 0xe4db75b, 0x80cd3c2f,
+  0xe34bd66, 0x80ca6fa9,
+  0xe1bc2e4, 0x80c7a80a, 0xe02c7d7, 0x80c4e553, 0xde9cc40, 0x80c22784,
+  0xdd0d01f, 0x80bf6e9c,
+  0xdb7d376, 0x80bcba9d, 0xd9ed646, 0x80ba0b85, 0xd85d88f, 0x80b76156,
+  0xd6cda53, 0x80b4bc0e,
+  0xd53db92, 0x80b21baf, 0xd3adc4e, 0x80af8039, 0xd21dc87, 0x80ace9ab,
+  0xd08dc3f, 0x80aa5806,
+  0xcefdb76, 0x80a7cb49, 0xcd6da2d, 0x80a54376, 0xcbdd865, 0x80a2c08b,
+  0xca4d620, 0x80a04289,
+  0xc8bd35e, 0x809dc971, 0xc72d020, 0x809b5541, 0xc59cc68, 0x8098e5fb,
+  0xc40c835, 0x80967b9f,
+  0xc27c389, 0x8094162c, 0xc0ebe66, 0x8091b5a2, 0xbf5b8cb, 0x808f5a02,
+  0xbdcb2bb, 0x808d034c,
+  0xbc3ac35, 0x808ab180, 0xbaaa53b, 0x8088649e, 0xb919dcf, 0x80861ca6,
+  0xb7895f0, 0x8083d998,
+  0xb5f8d9f, 0x80819b74, 0xb4684df, 0x807f623b, 0xb2d7baf, 0x807d2dec,
+  0xb147211, 0x807afe87,
+  0xafb6805, 0x8078d40d, 0xae25d8d, 0x8076ae7e, 0xac952aa, 0x80748dd9,
+  0xab0475c, 0x8072721f,
+  0xa973ba5, 0x80705b50, 0xa7e2f85, 0x806e496c, 0xa6522fe, 0x806c3c74,
+  0xa4c1610, 0x806a3466,
+  0xa3308bd, 0x80683143, 0xa19fb04, 0x8066330c, 0xa00ece8, 0x806439c0,
+  0x9e7de6a, 0x80624560,
+  0x9cecf89, 0x806055eb, 0x9b5c048, 0x805e6b62, 0x99cb0a7, 0x805c85c4,
+  0x983a0a7, 0x805aa512,
+  0x96a9049, 0x8058c94c, 0x9517f8f, 0x8056f272, 0x9386e78, 0x80552084,
+  0x91f5d06, 0x80535381,
+  0x9064b3a, 0x80518b6b, 0x8ed3916, 0x804fc841, 0x8d42699, 0x804e0a04,
+  0x8bb13c5, 0x804c50b2,
+  0x8a2009a, 0x804a9c4d, 0x888ed1b, 0x8048ecd5, 0x86fd947, 0x80474248,
+  0x856c520, 0x80459ca9,
+  0x83db0a7, 0x8043fbf6, 0x8249bdd, 0x80426030, 0x80b86c2, 0x8040c956,
+  0x7f27157, 0x803f376a,
+  0x7d95b9e, 0x803daa6a, 0x7c04598, 0x803c2257, 0x7a72f45, 0x803a9f31,
+  0x78e18a7, 0x803920f8,
+  0x77501be, 0x8037a7ac, 0x75bea8c, 0x8036334e, 0x742d311, 0x8034c3dd,
+  0x729bb4e, 0x80335959,
+  0x710a345, 0x8031f3c2, 0x6f78af6, 0x80309318, 0x6de7262, 0x802f375d,
+  0x6c5598a, 0x802de08e,
+  0x6ac406f, 0x802c8ead, 0x6932713, 0x802b41ba, 0x67a0d76, 0x8029f9b4,
+  0x660f398, 0x8028b69c,
+  0x647d97c, 0x80277872, 0x62ebf22, 0x80263f36, 0x615a48b, 0x80250ae7,
+  0x5fc89b8, 0x8023db86,
+  0x5e36ea9, 0x8022b114, 0x5ca5361, 0x80218b8f, 0x5b137df, 0x80206af8,
+  0x5981c26, 0x801f4f4f,
+  0x57f0035, 0x801e3895, 0x565e40d, 0x801d26c8, 0x54cc7b1, 0x801c19ea,
+  0x533ab20, 0x801b11fa,
+  0x51a8e5c, 0x801a0ef8, 0x5017165, 0x801910e4, 0x4e8543e, 0x801817bf,
+  0x4cf36e5, 0x80172388,
+  0x4b6195d, 0x80163440, 0x49cfba7, 0x801549e6, 0x483ddc3, 0x8014647b,
+  0x46abfb3, 0x801383fe,
+  0x451a177, 0x8012a86f, 0x4388310, 0x8011d1d0, 0x41f6480, 0x8011001f,
+  0x40645c7, 0x8010335c,
+  0x3ed26e6, 0x800f6b88, 0x3d407df, 0x800ea8a3, 0x3bae8b2, 0x800deaad,
+  0x3a1c960, 0x800d31a5,
+  0x388a9ea, 0x800c7d8c, 0x36f8a51, 0x800bce63, 0x3566a96, 0x800b2427,
+  0x33d4abb, 0x800a7edb,
+  0x3242abf, 0x8009de7e, 0x30b0aa4, 0x80094310, 0x2f1ea6c, 0x8008ac90,
+  0x2d8ca16, 0x80081b00,
+  0x2bfa9a4, 0x80078e5e, 0x2a68917, 0x800706ac, 0x28d6870, 0x800683e8,
+  0x27447b0, 0x80060614,
+  0x25b26d7, 0x80058d2f, 0x24205e8, 0x80051939, 0x228e4e2, 0x8004aa32,
+  0x20fc3c6, 0x8004401a,
+  0x1f6a297, 0x8003daf1, 0x1dd8154, 0x80037ab7, 0x1c45ffe, 0x80031f6d,
+  0x1ab3e97, 0x8002c912,
+  0x1921d20, 0x800277a6, 0x178fb99, 0x80022b29, 0x15fda03, 0x8001e39b,
+  0x146b860, 0x8001a0fd,
+  0x12d96b1, 0x8001634e, 0x11474f6, 0x80012a8e, 0xfb5330, 0x8000f6bd,
+  0xe23160, 0x8000c7dc,
+  0xc90f88, 0x80009dea, 0xafeda8, 0x800078e7, 0x96cbc1, 0x800058d4, 0x7da9d4,
+  0x80003daf,
+  0x6487e3, 0x8000277a, 0x4b65ee, 0x80001635, 0x3243f5, 0x800009df, 0x1921fb,
+  0x80000278,
+};
+
+static const q31_t WeightsQ31_8192[16384] = {
+  0x7fffffff, 0x0, 0x7fffffd9, 0xfff9b781, 0x7fffff62, 0xfff36f02, 0x7ffffe9d,
+    0xffed2684,
+  0x7ffffd88, 0xffe6de05, 0x7ffffc25, 0xffe09586, 0x7ffffa73, 0xffda4d08,
+    0x7ffff872, 0xffd40489,
+  0x7ffff621, 0xffcdbc0b, 0x7ffff382, 0xffc7738c, 0x7ffff094, 0xffc12b0e,
+    0x7fffed57, 0xffbae290,
+  0x7fffe9cb, 0xffb49a12, 0x7fffe5f0, 0xffae5195, 0x7fffe1c6, 0xffa80917,
+    0x7fffdd4d, 0xffa1c09a,
+  0x7fffd886, 0xff9b781d, 0x7fffd36f, 0xff952fa0, 0x7fffce09, 0xff8ee724,
+    0x7fffc854, 0xff889ea7,
+  0x7fffc251, 0xff82562c, 0x7fffbbfe, 0xff7c0db0, 0x7fffb55c, 0xff75c535,
+    0x7fffae6c, 0xff6f7cba,
+  0x7fffa72c, 0xff69343f, 0x7fff9f9e, 0xff62ebc5, 0x7fff97c1, 0xff5ca34b,
+    0x7fff8f94, 0xff565ad1,
+  0x7fff8719, 0xff501258, 0x7fff7e4f, 0xff49c9df, 0x7fff7536, 0xff438167,
+    0x7fff6bcd, 0xff3d38ef,
+  0x7fff6216, 0xff36f078, 0x7fff5810, 0xff30a801, 0x7fff4dbb, 0xff2a5f8b,
+    0x7fff4317, 0xff241715,
+  0x7fff3824, 0xff1dcea0, 0x7fff2ce2, 0xff17862b, 0x7fff2151, 0xff113db7,
+    0x7fff1572, 0xff0af543,
+  0x7fff0943, 0xff04acd0, 0x7ffefcc5, 0xfefe645e, 0x7ffeeff8, 0xfef81bec,
+    0x7ffee2dd, 0xfef1d37b,
+  0x7ffed572, 0xfeeb8b0a, 0x7ffec7b9, 0xfee5429a, 0x7ffeb9b0, 0xfedefa2b,
+    0x7ffeab59, 0xfed8b1bd,
+  0x7ffe9cb2, 0xfed2694f, 0x7ffe8dbd, 0xfecc20e2, 0x7ffe7e79, 0xfec5d876,
+    0x7ffe6ee5, 0xfebf900a,
+  0x7ffe5f03, 0xfeb947a0, 0x7ffe4ed2, 0xfeb2ff36, 0x7ffe3e52, 0xfeacb6cc,
+    0x7ffe2d83, 0xfea66e64,
+  0x7ffe1c65, 0xfea025fd, 0x7ffe0af8, 0xfe99dd96, 0x7ffdf93c, 0xfe939530,
+    0x7ffde731, 0xfe8d4ccb,
+  0x7ffdd4d7, 0xfe870467, 0x7ffdc22e, 0xfe80bc04, 0x7ffdaf37, 0xfe7a73a2,
+    0x7ffd9bf0, 0xfe742b41,
+  0x7ffd885a, 0xfe6de2e0, 0x7ffd7476, 0xfe679a81, 0x7ffd6042, 0xfe615223,
+    0x7ffd4bc0, 0xfe5b09c5,
+  0x7ffd36ee, 0xfe54c169, 0x7ffd21ce, 0xfe4e790d, 0x7ffd0c5f, 0xfe4830b3,
+    0x7ffcf6a0, 0xfe41e85a,
+  0x7ffce093, 0xfe3ba002, 0x7ffcca37, 0xfe3557ab, 0x7ffcb38c, 0xfe2f0f55,
+    0x7ffc9c92, 0xfe28c700,
+  0x7ffc8549, 0xfe227eac, 0x7ffc6db1, 0xfe1c365a, 0x7ffc55ca, 0xfe15ee09,
+    0x7ffc3d94, 0xfe0fa5b8,
+  0x7ffc250f, 0xfe095d69, 0x7ffc0c3b, 0xfe03151c, 0x7ffbf319, 0xfdfccccf,
+    0x7ffbd9a7, 0xfdf68484,
+  0x7ffbbfe6, 0xfdf03c3a, 0x7ffba5d7, 0xfde9f3f1, 0x7ffb8b78, 0xfde3aba9,
+    0x7ffb70cb, 0xfddd6363,
+  0x7ffb55ce, 0xfdd71b1e, 0x7ffb3a83, 0xfdd0d2db, 0x7ffb1ee9, 0xfdca8a99,
+    0x7ffb0300, 0xfdc44258,
+  0x7ffae6c7, 0xfdbdfa18, 0x7ffaca40, 0xfdb7b1da, 0x7ffaad6a, 0xfdb1699e,
+    0x7ffa9045, 0xfdab2162,
+  0x7ffa72d1, 0xfda4d929, 0x7ffa550e, 0xfd9e90f0, 0x7ffa36fc, 0xfd9848b9,
+    0x7ffa189c, 0xfd920084,
+  0x7ff9f9ec, 0xfd8bb850, 0x7ff9daed, 0xfd85701e, 0x7ff9bba0, 0xfd7f27ed,
+    0x7ff99c03, 0xfd78dfbd,
+  0x7ff97c18, 0xfd729790, 0x7ff95bdd, 0xfd6c4f64, 0x7ff93b54, 0xfd660739,
+    0x7ff91a7b, 0xfd5fbf10,
+  0x7ff8f954, 0xfd5976e9, 0x7ff8d7de, 0xfd532ec3, 0x7ff8b619, 0xfd4ce69f,
+    0x7ff89405, 0xfd469e7c,
+  0x7ff871a2, 0xfd40565c, 0x7ff84ef0, 0xfd3a0e3d, 0x7ff82bef, 0xfd33c61f,
+    0x7ff8089f, 0xfd2d7e04,
+  0x7ff7e500, 0xfd2735ea, 0x7ff7c113, 0xfd20edd2, 0x7ff79cd6, 0xfd1aa5bc,
+    0x7ff7784a, 0xfd145da7,
+  0x7ff75370, 0xfd0e1594, 0x7ff72e46, 0xfd07cd83, 0x7ff708ce, 0xfd018574,
+    0x7ff6e307, 0xfcfb3d67,
+  0x7ff6bcf0, 0xfcf4f55c, 0x7ff6968b, 0xfceead52, 0x7ff66fd7, 0xfce8654b,
+    0x7ff648d4, 0xfce21d45,
+  0x7ff62182, 0xfcdbd541, 0x7ff5f9e1, 0xfcd58d3f, 0x7ff5d1f1, 0xfccf453f,
+    0x7ff5a9b2, 0xfcc8fd41,
+  0x7ff58125, 0xfcc2b545, 0x7ff55848, 0xfcbc6d4c, 0x7ff52f1d, 0xfcb62554,
+    0x7ff505a2, 0xfcafdd5e,
+  0x7ff4dbd9, 0xfca9956a, 0x7ff4b1c0, 0xfca34d78, 0x7ff48759, 0xfc9d0588,
+    0x7ff45ca3, 0xfc96bd9b,
+  0x7ff4319d, 0xfc9075af, 0x7ff40649, 0xfc8a2dc6, 0x7ff3daa6, 0xfc83e5de,
+    0x7ff3aeb4, 0xfc7d9df9,
+  0x7ff38274, 0xfc775616, 0x7ff355e4, 0xfc710e36, 0x7ff32905, 0xfc6ac657,
+    0x7ff2fbd7, 0xfc647e7b,
+  0x7ff2ce5b, 0xfc5e36a0, 0x7ff2a08f, 0xfc57eec9, 0x7ff27275, 0xfc51a6f3,
+    0x7ff2440b, 0xfc4b5f20,
+  0x7ff21553, 0xfc45174e, 0x7ff1e64c, 0xfc3ecf80, 0x7ff1b6f6, 0xfc3887b3,
+    0x7ff18751, 0xfc323fe9,
+  0x7ff1575d, 0xfc2bf821, 0x7ff1271a, 0xfc25b05c, 0x7ff0f688, 0xfc1f6899,
+    0x7ff0c5a7, 0xfc1920d8,
+  0x7ff09478, 0xfc12d91a, 0x7ff062f9, 0xfc0c915e, 0x7ff0312c, 0xfc0649a5,
+    0x7fefff0f, 0xfc0001ee,
+  0x7fefcca4, 0xfbf9ba39, 0x7fef99ea, 0xfbf37287, 0x7fef66e1, 0xfbed2ad8,
+    0x7fef3388, 0xfbe6e32b,
+  0x7feeffe1, 0xfbe09b80, 0x7feecbec, 0xfbda53d8, 0x7fee97a7, 0xfbd40c33,
+    0x7fee6313, 0xfbcdc490,
+  0x7fee2e30, 0xfbc77cf0, 0x7fedf8ff, 0xfbc13552, 0x7fedc37e, 0xfbbaedb7,
+    0x7fed8daf, 0xfbb4a61f,
+  0x7fed5791, 0xfbae5e89, 0x7fed2123, 0xfba816f6, 0x7fecea67, 0xfba1cf66,
+    0x7fecb35c, 0xfb9b87d8,
+  0x7fec7c02, 0xfb95404d, 0x7fec4459, 0xfb8ef8c5, 0x7fec0c62, 0xfb88b13f,
+    0x7febd41b, 0xfb8269bd,
+  0x7feb9b85, 0xfb7c223d, 0x7feb62a1, 0xfb75dac0, 0x7feb296d, 0xfb6f9345,
+    0x7feaefeb, 0xfb694bce,
+  0x7feab61a, 0xfb630459, 0x7fea7bfa, 0xfb5cbce7, 0x7fea418b, 0xfb567578,
+    0x7fea06cd, 0xfb502e0c,
+  0x7fe9cbc0, 0xfb49e6a3, 0x7fe99064, 0xfb439f3c, 0x7fe954ba, 0xfb3d57d9,
+    0x7fe918c0, 0xfb371078,
+  0x7fe8dc78, 0xfb30c91b, 0x7fe89fe0, 0xfb2a81c0, 0x7fe862fa, 0xfb243a69,
+    0x7fe825c5, 0xfb1df314,
+  0x7fe7e841, 0xfb17abc2, 0x7fe7aa6e, 0xfb116474, 0x7fe76c4c, 0xfb0b1d28,
+    0x7fe72ddb, 0xfb04d5e0,
+  0x7fe6ef1c, 0xfafe8e9b, 0x7fe6b00d, 0xfaf84758, 0x7fe670b0, 0xfaf20019,
+    0x7fe63103, 0xfaebb8dd,
+  0x7fe5f108, 0xfae571a4, 0x7fe5b0be, 0xfadf2a6e, 0x7fe57025, 0xfad8e33c,
+    0x7fe52f3d, 0xfad29c0c,
+  0x7fe4ee06, 0xfacc54e0, 0x7fe4ac81, 0xfac60db7, 0x7fe46aac, 0xfabfc691,
+    0x7fe42889, 0xfab97f6e,
+  0x7fe3e616, 0xfab3384f, 0x7fe3a355, 0xfaacf133, 0x7fe36045, 0xfaa6aa1a,
+    0x7fe31ce6, 0xfaa06305,
+  0x7fe2d938, 0xfa9a1bf3, 0x7fe2953b, 0xfa93d4e4, 0x7fe250ef, 0xfa8d8dd8,
+    0x7fe20c55, 0xfa8746d0,
+  0x7fe1c76b, 0xfa80ffcb, 0x7fe18233, 0xfa7ab8ca, 0x7fe13cac, 0xfa7471cc,
+    0x7fe0f6d6, 0xfa6e2ad1,
+  0x7fe0b0b1, 0xfa67e3da, 0x7fe06a3d, 0xfa619ce7, 0x7fe0237a, 0xfa5b55f7,
+    0x7fdfdc69, 0xfa550f0a,
+  0x7fdf9508, 0xfa4ec821, 0x7fdf4d59, 0xfa48813b, 0x7fdf055a, 0xfa423a59,
+    0x7fdebd0d, 0xfa3bf37a,
+  0x7fde7471, 0xfa35ac9f, 0x7fde2b86, 0xfa2f65c8, 0x7fdde24d, 0xfa291ef4,
+    0x7fdd98c4, 0xfa22d823,
+  0x7fdd4eec, 0xfa1c9157, 0x7fdd04c6, 0xfa164a8e, 0x7fdcba51, 0xfa1003c8,
+    0x7fdc6f8d, 0xfa09bd06,
+  0x7fdc247a, 0xfa037648, 0x7fdbd918, 0xf9fd2f8e, 0x7fdb8d67, 0xf9f6e8d7,
+    0x7fdb4167, 0xf9f0a224,
+  0x7fdaf519, 0xf9ea5b75, 0x7fdaa87c, 0xf9e414ca, 0x7fda5b8f, 0xf9ddce22,
+    0x7fda0e54, 0xf9d7877e,
+  0x7fd9c0ca, 0xf9d140de, 0x7fd972f2, 0xf9cafa42, 0x7fd924ca, 0xf9c4b3a9,
+    0x7fd8d653, 0xf9be6d15,
+  0x7fd8878e, 0xf9b82684, 0x7fd8387a, 0xf9b1dff7, 0x7fd7e917, 0xf9ab996e,
+    0x7fd79965, 0xf9a552e9,
+  0x7fd74964, 0xf99f0c68, 0x7fd6f914, 0xf998c5ea, 0x7fd6a875, 0xf9927f71,
+    0x7fd65788, 0xf98c38fc,
+  0x7fd6064c, 0xf985f28a, 0x7fd5b4c1, 0xf97fac1d, 0x7fd562e7, 0xf97965b4,
+    0x7fd510be, 0xf9731f4e,
+  0x7fd4be46, 0xf96cd8ed, 0x7fd46b80, 0xf9669290, 0x7fd4186a, 0xf9604c37,
+    0x7fd3c506, 0xf95a05e2,
+  0x7fd37153, 0xf953bf91, 0x7fd31d51, 0xf94d7944, 0x7fd2c900, 0xf94732fb,
+    0x7fd27460, 0xf940ecb7,
+  0x7fd21f72, 0xf93aa676, 0x7fd1ca35, 0xf934603a, 0x7fd174a8, 0xf92e1a02,
+    0x7fd11ecd, 0xf927d3ce,
+  0x7fd0c8a3, 0xf9218d9e, 0x7fd0722b, 0xf91b4773, 0x7fd01b63, 0xf915014c,
+    0x7fcfc44d, 0xf90ebb29,
+  0x7fcf6ce8, 0xf908750a, 0x7fcf1533, 0xf9022ef0, 0x7fcebd31, 0xf8fbe8da,
+    0x7fce64df, 0xf8f5a2c9,
+  0x7fce0c3e, 0xf8ef5cbb, 0x7fcdb34f, 0xf8e916b2, 0x7fcd5a11, 0xf8e2d0ae,
+    0x7fcd0083, 0xf8dc8aae,
+  0x7fcca6a7, 0xf8d644b2, 0x7fcc4c7d, 0xf8cffebb, 0x7fcbf203, 0xf8c9b8c8,
+    0x7fcb973b, 0xf8c372d9,
+  0x7fcb3c23, 0xf8bd2cef, 0x7fcae0bd, 0xf8b6e70a, 0x7fca8508, 0xf8b0a129,
+    0x7fca2905, 0xf8aa5b4c,
+  0x7fc9ccb2, 0xf8a41574, 0x7fc97011, 0xf89dcfa1, 0x7fc91320, 0xf89789d2,
+    0x7fc8b5e1, 0xf8914407,
+  0x7fc85854, 0xf88afe42, 0x7fc7fa77, 0xf884b880, 0x7fc79c4b, 0xf87e72c4,
+    0x7fc73dd1, 0xf8782d0c,
+  0x7fc6df08, 0xf871e759, 0x7fc67ff0, 0xf86ba1aa, 0x7fc62089, 0xf8655c00,
+    0x7fc5c0d3, 0xf85f165b,
+  0x7fc560cf, 0xf858d0bb, 0x7fc5007c, 0xf8528b1f, 0x7fc49fda, 0xf84c4588,
+    0x7fc43ee9, 0xf845fff5,
+  0x7fc3dda9, 0xf83fba68, 0x7fc37c1b, 0xf83974df, 0x7fc31a3d, 0xf8332f5b,
+    0x7fc2b811, 0xf82ce9dc,
+  0x7fc25596, 0xf826a462, 0x7fc1f2cc, 0xf8205eec, 0x7fc18fb4, 0xf81a197b,
+    0x7fc12c4d, 0xf813d410,
+  0x7fc0c896, 0xf80d8ea9, 0x7fc06491, 0xf8074947, 0x7fc0003e, 0xf80103ea,
+    0x7fbf9b9b, 0xf7fabe92,
+  0x7fbf36aa, 0xf7f4793e, 0x7fbed16a, 0xf7ee33f0, 0x7fbe6bdb, 0xf7e7eea7,
+    0x7fbe05fd, 0xf7e1a963,
+  0x7fbd9fd0, 0xf7db6423, 0x7fbd3955, 0xf7d51ee9, 0x7fbcd28b, 0xf7ced9b4,
+    0x7fbc6b72, 0xf7c89484,
+  0x7fbc040a, 0xf7c24f59, 0x7fbb9c53, 0xf7bc0a33, 0x7fbb344e, 0xf7b5c512,
+    0x7fbacbfa, 0xf7af7ff6,
+  0x7fba6357, 0xf7a93ae0, 0x7fb9fa65, 0xf7a2f5ce, 0x7fb99125, 0xf79cb0c2,
+    0x7fb92796, 0xf7966bbb,
+  0x7fb8bdb8, 0xf79026b9, 0x7fb8538b, 0xf789e1bc, 0x7fb7e90f, 0xf7839cc4,
+    0x7fb77e45, 0xf77d57d2,
+  0x7fb7132b, 0xf77712e5, 0x7fb6a7c3, 0xf770cdfd, 0x7fb63c0d, 0xf76a891b,
+    0x7fb5d007, 0xf764443d,
+  0x7fb563b3, 0xf75dff66, 0x7fb4f710, 0xf757ba93, 0x7fb48a1e, 0xf75175c6,
+    0x7fb41cdd, 0xf74b30fe,
+  0x7fb3af4e, 0xf744ec3b, 0x7fb34170, 0xf73ea77e, 0x7fb2d343, 0xf73862c6,
+    0x7fb264c7, 0xf7321e14,
+  0x7fb1f5fc, 0xf72bd967, 0x7fb186e3, 0xf72594c0, 0x7fb1177b, 0xf71f501e,
+    0x7fb0a7c4, 0xf7190b81,
+  0x7fb037bf, 0xf712c6ea, 0x7fafc76a, 0xf70c8259, 0x7faf56c7, 0xf7063dcd,
+    0x7faee5d5, 0xf6fff946,
+  0x7fae7495, 0xf6f9b4c6, 0x7fae0305, 0xf6f3704a, 0x7fad9127, 0xf6ed2bd4,
+    0x7fad1efa, 0xf6e6e764,
+  0x7facac7f, 0xf6e0a2fa, 0x7fac39b4, 0xf6da5e95, 0x7fabc69b, 0xf6d41a36,
+    0x7fab5333, 0xf6cdd5dc,
+  0x7faadf7c, 0xf6c79188, 0x7faa6b77, 0xf6c14d3a, 0x7fa9f723, 0xf6bb08f1,
+    0x7fa98280, 0xf6b4c4ae,
+  0x7fa90d8e, 0xf6ae8071, 0x7fa8984e, 0xf6a83c3a, 0x7fa822bf, 0xf6a1f808,
+    0x7fa7ace1, 0xf69bb3dd,
+  0x7fa736b4, 0xf6956fb7, 0x7fa6c039, 0xf68f2b96, 0x7fa6496e, 0xf688e77c,
+    0x7fa5d256, 0xf682a367,
+  0x7fa55aee, 0xf67c5f59, 0x7fa4e338, 0xf6761b50, 0x7fa46b32, 0xf66fd74d,
+    0x7fa3f2df, 0xf6699350,
+  0x7fa37a3c, 0xf6634f59, 0x7fa3014b, 0xf65d0b68, 0x7fa2880b, 0xf656c77c,
+    0x7fa20e7c, 0xf6508397,
+  0x7fa1949e, 0xf64a3fb8, 0x7fa11a72, 0xf643fbdf, 0x7fa09ff7, 0xf63db80b,
+    0x7fa0252e, 0xf637743e,
+  0x7f9faa15, 0xf6313077, 0x7f9f2eae, 0xf62aecb5, 0x7f9eb2f8, 0xf624a8fa,
+    0x7f9e36f4, 0xf61e6545,
+  0x7f9dbaa0, 0xf6182196, 0x7f9d3dfe, 0xf611dded, 0x7f9cc10d, 0xf60b9a4b,
+    0x7f9c43ce, 0xf60556ae,
+  0x7f9bc640, 0xf5ff1318, 0x7f9b4863, 0xf5f8cf87, 0x7f9aca37, 0xf5f28bfd,
+    0x7f9a4bbd, 0xf5ec4879,
+  0x7f99ccf4, 0xf5e604fc, 0x7f994ddc, 0xf5dfc184, 0x7f98ce76, 0xf5d97e13,
+    0x7f984ec1, 0xf5d33aa8,
+  0x7f97cebd, 0xf5ccf743, 0x7f974e6a, 0xf5c6b3e5, 0x7f96cdc9, 0xf5c0708d,
+    0x7f964cd9, 0xf5ba2d3b,
+  0x7f95cb9a, 0xf5b3e9f0, 0x7f954a0d, 0xf5ada6ab, 0x7f94c831, 0xf5a7636c,
+    0x7f944606, 0xf5a12034,
+  0x7f93c38c, 0xf59add02, 0x7f9340c4, 0xf59499d6, 0x7f92bdad, 0xf58e56b1,
+    0x7f923a48, 0xf5881393,
+  0x7f91b694, 0xf581d07b, 0x7f913291, 0xf57b8d69, 0x7f90ae3f, 0xf5754a5e,
+    0x7f90299f, 0xf56f0759,
+  0x7f8fa4b0, 0xf568c45b, 0x7f8f1f72, 0xf5628163, 0x7f8e99e6, 0xf55c3e72,
+    0x7f8e140a, 0xf555fb88,
+  0x7f8d8de1, 0xf54fb8a4, 0x7f8d0768, 0xf54975c6, 0x7f8c80a1, 0xf54332ef,
+    0x7f8bf98b, 0xf53cf01f,
+  0x7f8b7227, 0xf536ad56, 0x7f8aea74, 0xf5306a93, 0x7f8a6272, 0xf52a27d7,
+    0x7f89da21, 0xf523e521,
+  0x7f895182, 0xf51da273, 0x7f88c894, 0xf5175fca, 0x7f883f58, 0xf5111d29,
+    0x7f87b5cd, 0xf50ada8f,
+  0x7f872bf3, 0xf50497fb, 0x7f86a1ca, 0xf4fe556e, 0x7f861753, 0xf4f812e7,
+    0x7f858c8d, 0xf4f1d068,
+  0x7f850179, 0xf4eb8def, 0x7f847616, 0xf4e54b7d, 0x7f83ea64, 0xf4df0912,
+    0x7f835e64, 0xf4d8c6ae,
+  0x7f82d214, 0xf4d28451, 0x7f824577, 0xf4cc41fb, 0x7f81b88a, 0xf4c5ffab,
+    0x7f812b4f, 0xf4bfbd63,
+  0x7f809dc5, 0xf4b97b21, 0x7f800fed, 0xf4b338e7, 0x7f7f81c6, 0xf4acf6b3,
+    0x7f7ef350, 0xf4a6b486,
+  0x7f7e648c, 0xf4a07261, 0x7f7dd579, 0xf49a3042, 0x7f7d4617, 0xf493ee2b,
+    0x7f7cb667, 0xf48dac1a,
+  0x7f7c2668, 0xf4876a10, 0x7f7b961b, 0xf481280e, 0x7f7b057e, 0xf47ae613,
+    0x7f7a7494, 0xf474a41f,
+  0x7f79e35a, 0xf46e6231, 0x7f7951d2, 0xf468204b, 0x7f78bffb, 0xf461de6d,
+    0x7f782dd6, 0xf45b9c95,
+  0x7f779b62, 0xf4555ac5, 0x7f77089f, 0xf44f18fb, 0x7f76758e, 0xf448d739,
+    0x7f75e22e, 0xf442957e,
+  0x7f754e80, 0xf43c53cb, 0x7f74ba83, 0xf436121e, 0x7f742637, 0xf42fd079,
+    0x7f73919d, 0xf4298edc,
+  0x7f72fcb4, 0xf4234d45, 0x7f72677c, 0xf41d0bb6, 0x7f71d1f6, 0xf416ca2e,
+    0x7f713c21, 0xf41088ae,
+  0x7f70a5fe, 0xf40a4735, 0x7f700f8c, 0xf40405c3, 0x7f6f78cb, 0xf3fdc459,
+    0x7f6ee1bc, 0xf3f782f6,
+  0x7f6e4a5e, 0xf3f1419a, 0x7f6db2b1, 0xf3eb0046, 0x7f6d1ab6, 0xf3e4bef9,
+    0x7f6c826d, 0xf3de7db4,
+  0x7f6be9d4, 0xf3d83c77, 0x7f6b50ed, 0xf3d1fb40, 0x7f6ab7b8, 0xf3cbba12,
+    0x7f6a1e34, 0xf3c578eb,
+  0x7f698461, 0xf3bf37cb, 0x7f68ea40, 0xf3b8f6b3, 0x7f684fd0, 0xf3b2b5a3,
+    0x7f67b512, 0xf3ac749a,
+  0x7f671a05, 0xf3a63398, 0x7f667ea9, 0xf39ff29f, 0x7f65e2ff, 0xf399b1ad,
+    0x7f654706, 0xf39370c2,
+  0x7f64aabf, 0xf38d2fe0, 0x7f640e29, 0xf386ef05, 0x7f637144, 0xf380ae31,
+    0x7f62d411, 0xf37a6d66,
+  0x7f62368f, 0xf3742ca2, 0x7f6198bf, 0xf36debe6, 0x7f60faa0, 0xf367ab31,
+    0x7f605c33, 0xf3616a85,
+  0x7f5fbd77, 0xf35b29e0, 0x7f5f1e6c, 0xf354e943, 0x7f5e7f13, 0xf34ea8ae,
+    0x7f5ddf6b, 0xf3486820,
+  0x7f5d3f75, 0xf342279b, 0x7f5c9f30, 0xf33be71d, 0x7f5bfe9d, 0xf335a6a7,
+    0x7f5b5dbb, 0xf32f6639,
+  0x7f5abc8a, 0xf32925d3, 0x7f5a1b0b, 0xf322e575, 0x7f59793e, 0xf31ca51f,
+    0x7f58d721, 0xf31664d1,
+  0x7f5834b7, 0xf310248a, 0x7f5791fd, 0xf309e44c, 0x7f56eef5, 0xf303a416,
+    0x7f564b9f, 0xf2fd63e8,
+  0x7f55a7fa, 0xf2f723c1, 0x7f550407, 0xf2f0e3a3, 0x7f545fc5, 0xf2eaa38d,
+    0x7f53bb34, 0xf2e4637f,
+  0x7f531655, 0xf2de2379, 0x7f527127, 0xf2d7e37b, 0x7f51cbab, 0xf2d1a385,
+    0x7f5125e0, 0xf2cb6398,
+  0x7f507fc7, 0xf2c523b2, 0x7f4fd95f, 0xf2bee3d5, 0x7f4f32a9, 0xf2b8a400,
+    0x7f4e8ba4, 0xf2b26433,
+  0x7f4de451, 0xf2ac246e, 0x7f4d3caf, 0xf2a5e4b1, 0x7f4c94be, 0xf29fa4fd,
+    0x7f4bec7f, 0xf2996551,
+  0x7f4b43f2, 0xf29325ad, 0x7f4a9b16, 0xf28ce612, 0x7f49f1eb, 0xf286a67e,
+    0x7f494872, 0xf28066f4,
+  0x7f489eaa, 0xf27a2771, 0x7f47f494, 0xf273e7f7, 0x7f474a30, 0xf26da885,
+    0x7f469f7d, 0xf267691b,
+  0x7f45f47b, 0xf26129ba, 0x7f45492b, 0xf25aea61, 0x7f449d8c, 0xf254ab11,
+    0x7f43f19f, 0xf24e6bc9,
+  0x7f434563, 0xf2482c8a, 0x7f4298d9, 0xf241ed53, 0x7f41ec01, 0xf23bae24,
+    0x7f413ed9, 0xf2356efe,
+  0x7f409164, 0xf22f2fe1, 0x7f3fe3a0, 0xf228f0cc, 0x7f3f358d, 0xf222b1c0,
+    0x7f3e872c, 0xf21c72bc,
+  0x7f3dd87c, 0xf21633c0, 0x7f3d297e, 0xf20ff4ce, 0x7f3c7a31, 0xf209b5e4,
+    0x7f3bca96, 0xf2037702,
+  0x7f3b1aad, 0xf1fd3829, 0x7f3a6a75, 0xf1f6f959, 0x7f39b9ee, 0xf1f0ba91,
+    0x7f390919, 0xf1ea7bd2,
+  0x7f3857f6, 0xf1e43d1c, 0x7f37a684, 0xf1ddfe6f, 0x7f36f4c3, 0xf1d7bfca,
+    0x7f3642b4, 0xf1d1812e,
+  0x7f359057, 0xf1cb429a, 0x7f34ddab, 0xf1c50410, 0x7f342ab1, 0xf1bec58e,
+    0x7f337768, 0xf1b88715,
+  0x7f32c3d1, 0xf1b248a5, 0x7f320feb, 0xf1ac0a3e, 0x7f315bb7, 0xf1a5cbdf,
+    0x7f30a734, 0xf19f8d89,
+  0x7f2ff263, 0xf1994f3d, 0x7f2f3d44, 0xf19310f9, 0x7f2e87d6, 0xf18cd2be,
+    0x7f2dd219, 0xf186948c,
+  0x7f2d1c0e, 0xf1805662, 0x7f2c65b5, 0xf17a1842, 0x7f2baf0d, 0xf173da2b,
+    0x7f2af817, 0xf16d9c1d,
+  0x7f2a40d2, 0xf1675e17, 0x7f29893f, 0xf161201b, 0x7f28d15d, 0xf15ae228,
+    0x7f28192d, 0xf154a43d,
+  0x7f2760af, 0xf14e665c, 0x7f26a7e2, 0xf1482884, 0x7f25eec7, 0xf141eab5,
+    0x7f25355d, 0xf13bacef,
+  0x7f247ba5, 0xf1356f32, 0x7f23c19e, 0xf12f317e, 0x7f230749, 0xf128f3d4,
+    0x7f224ca6, 0xf122b632,
+  0x7f2191b4, 0xf11c789a, 0x7f20d674, 0xf1163b0b, 0x7f201ae5, 0xf10ffd85,
+    0x7f1f5f08, 0xf109c009,
+  0x7f1ea2dc, 0xf1038295, 0x7f1de662, 0xf0fd452b, 0x7f1d299a, 0xf0f707ca,
+    0x7f1c6c83, 0xf0f0ca72,
+  0x7f1baf1e, 0xf0ea8d24, 0x7f1af16a, 0xf0e44fdf, 0x7f1a3368, 0xf0de12a3,
+    0x7f197518, 0xf0d7d571,
+  0x7f18b679, 0xf0d19848, 0x7f17f78c, 0xf0cb5b28, 0x7f173850, 0xf0c51e12,
+    0x7f1678c6, 0xf0bee105,
+  0x7f15b8ee, 0xf0b8a401, 0x7f14f8c7, 0xf0b26707, 0x7f143852, 0xf0ac2a16,
+    0x7f13778e, 0xf0a5ed2f,
+  0x7f12b67c, 0xf09fb051, 0x7f11f51c, 0xf099737d, 0x7f11336d, 0xf09336b2,
+    0x7f107170, 0xf08cf9f1,
+  0x7f0faf25, 0xf086bd39, 0x7f0eec8b, 0xf080808b, 0x7f0e29a3, 0xf07a43e7,
+    0x7f0d666c, 0xf074074c,
+  0x7f0ca2e7, 0xf06dcaba, 0x7f0bdf14, 0xf0678e32, 0x7f0b1af2, 0xf06151b4,
+    0x7f0a5682, 0xf05b1540,
+  0x7f0991c4, 0xf054d8d5, 0x7f08ccb7, 0xf04e9c73, 0x7f08075c, 0xf048601c,
+    0x7f0741b2, 0xf04223ce,
+  0x7f067bba, 0xf03be78a, 0x7f05b574, 0xf035ab4f, 0x7f04eedf, 0xf02f6f1f,
+    0x7f0427fc, 0xf02932f8,
+  0x7f0360cb, 0xf022f6da, 0x7f02994b, 0xf01cbac7, 0x7f01d17d, 0xf0167ebd,
+    0x7f010961, 0xf01042be,
+  0x7f0040f6, 0xf00a06c8, 0x7eff783d, 0xf003cadc, 0x7efeaf36, 0xeffd8ef9,
+    0x7efde5e0, 0xeff75321,
+  0x7efd1c3c, 0xeff11753, 0x7efc524a, 0xefeadb8e, 0x7efb8809, 0xefe49fd3,
+    0x7efabd7a, 0xefde6423,
+  0x7ef9f29d, 0xefd8287c, 0x7ef92771, 0xefd1ecdf, 0x7ef85bf7, 0xefcbb14c,
+    0x7ef7902f, 0xefc575c3,
+  0x7ef6c418, 0xefbf3a45, 0x7ef5f7b3, 0xefb8fed0, 0x7ef52b00, 0xefb2c365,
+    0x7ef45dfe, 0xefac8804,
+  0x7ef390ae, 0xefa64cae, 0x7ef2c310, 0xefa01161, 0x7ef1f524, 0xef99d61f,
+    0x7ef126e9, 0xef939ae6,
+  0x7ef05860, 0xef8d5fb8, 0x7eef8988, 0xef872494, 0x7eeeba62, 0xef80e97a,
+    0x7eedeaee, 0xef7aae6b,
+  0x7eed1b2c, 0xef747365, 0x7eec4b1b, 0xef6e386a, 0x7eeb7abc, 0xef67fd79,
+    0x7eeaaa0f, 0xef61c292,
+  0x7ee9d914, 0xef5b87b5, 0x7ee907ca, 0xef554ce3, 0x7ee83632, 0xef4f121b,
+    0x7ee7644c, 0xef48d75d,
+  0x7ee69217, 0xef429caa, 0x7ee5bf94, 0xef3c6201, 0x7ee4ecc3, 0xef362762,
+    0x7ee419a3, 0xef2feccd,
+  0x7ee34636, 0xef29b243, 0x7ee2727a, 0xef2377c4, 0x7ee19e6f, 0xef1d3d4e,
+    0x7ee0ca17, 0xef1702e4,
+  0x7edff570, 0xef10c883, 0x7edf207b, 0xef0a8e2d, 0x7ede4b38, 0xef0453e2,
+    0x7edd75a6, 0xeefe19a1,
+  0x7edc9fc6, 0xeef7df6a, 0x7edbc998, 0xeef1a53e, 0x7edaf31c, 0xeeeb6b1c,
+    0x7eda1c51, 0xeee53105,
+  0x7ed94538, 0xeedef6f9, 0x7ed86dd1, 0xeed8bcf7, 0x7ed7961c, 0xeed28300,
+    0x7ed6be18, 0xeecc4913,
+  0x7ed5e5c6, 0xeec60f31, 0x7ed50d26, 0xeebfd55a, 0x7ed43438, 0xeeb99b8d,
+    0x7ed35afb, 0xeeb361cb,
+  0x7ed28171, 0xeead2813, 0x7ed1a798, 0xeea6ee66, 0x7ed0cd70, 0xeea0b4c4,
+    0x7ecff2fb, 0xee9a7b2d,
+  0x7ecf1837, 0xee9441a0, 0x7ece3d25, 0xee8e081e, 0x7ecd61c5, 0xee87cea7,
+    0x7ecc8617, 0xee81953b,
+  0x7ecbaa1a, 0xee7b5bd9, 0x7ecacdd0, 0xee752283, 0x7ec9f137, 0xee6ee937,
+    0x7ec9144f, 0xee68aff6,
+  0x7ec8371a, 0xee6276bf, 0x7ec75996, 0xee5c3d94, 0x7ec67bc5, 0xee560473,
+    0x7ec59da5, 0xee4fcb5e,
+  0x7ec4bf36, 0xee499253, 0x7ec3e07a, 0xee435953, 0x7ec3016f, 0xee3d205e,
+    0x7ec22217, 0xee36e775,
+  0x7ec14270, 0xee30ae96, 0x7ec0627a, 0xee2a75c2, 0x7ebf8237, 0xee243cf9,
+    0x7ebea1a6, 0xee1e043b,
+  0x7ebdc0c6, 0xee17cb88, 0x7ebcdf98, 0xee1192e0, 0x7ebbfe1c, 0xee0b5a43,
+    0x7ebb1c52, 0xee0521b2,
+  0x7eba3a39, 0xedfee92b, 0x7eb957d2, 0xedf8b0b0, 0x7eb8751e, 0xedf2783f,
+    0x7eb7921b, 0xedec3fda,
+  0x7eb6aeca, 0xede60780, 0x7eb5cb2a, 0xeddfcf31, 0x7eb4e73d, 0xedd996ed,
+    0x7eb40301, 0xedd35eb5,
+  0x7eb31e78, 0xedcd2687, 0x7eb239a0, 0xedc6ee65, 0x7eb1547a, 0xedc0b64e,
+    0x7eb06f05, 0xedba7e43,
+  0x7eaf8943, 0xedb44642, 0x7eaea333, 0xedae0e4d, 0x7eadbcd4, 0xeda7d664,
+    0x7eacd627, 0xeda19e85,
+  0x7eabef2c, 0xed9b66b2, 0x7eab07e3, 0xed952eea, 0x7eaa204c, 0xed8ef72e,
+    0x7ea93867, 0xed88bf7d,
+  0x7ea85033, 0xed8287d7, 0x7ea767b2, 0xed7c503d, 0x7ea67ee2, 0xed7618ae,
+    0x7ea595c4, 0xed6fe12b,
+  0x7ea4ac58, 0xed69a9b3, 0x7ea3c29e, 0xed637246, 0x7ea2d896, 0xed5d3ae5,
+    0x7ea1ee3f, 0xed570390,
+  0x7ea1039b, 0xed50cc46, 0x7ea018a8, 0xed4a9507, 0x7e9f2d68, 0xed445dd5,
+    0x7e9e41d9, 0xed3e26ad,
+  0x7e9d55fc, 0xed37ef91, 0x7e9c69d1, 0xed31b881, 0x7e9b7d58, 0xed2b817d,
+    0x7e9a9091, 0xed254a84,
+  0x7e99a37c, 0xed1f1396, 0x7e98b618, 0xed18dcb5, 0x7e97c867, 0xed12a5df,
+    0x7e96da67, 0xed0c6f14,
+  0x7e95ec1a, 0xed063856, 0x7e94fd7e, 0xed0001a3, 0x7e940e94, 0xecf9cafb,
+    0x7e931f5c, 0xecf39460,
+  0x7e922fd6, 0xeced5dd0, 0x7e914002, 0xece7274c, 0x7e904fe0, 0xece0f0d4,
+    0x7e8f5f70, 0xecdaba67,
+  0x7e8e6eb2, 0xecd48407, 0x7e8d7da6, 0xecce4db2, 0x7e8c8c4b, 0xecc81769,
+    0x7e8b9aa3, 0xecc1e12c,
+  0x7e8aa8ac, 0xecbbaafb, 0x7e89b668, 0xecb574d5, 0x7e88c3d5, 0xecaf3ebc,
+    0x7e87d0f5, 0xeca908ae,
+  0x7e86ddc6, 0xeca2d2ad, 0x7e85ea49, 0xec9c9cb7, 0x7e84f67e, 0xec9666cd,
+    0x7e840265, 0xec9030f0,
+  0x7e830dff, 0xec89fb1e, 0x7e82194a, 0xec83c558, 0x7e812447, 0xec7d8f9e,
+    0x7e802ef6, 0xec7759f1,
+  0x7e7f3957, 0xec71244f, 0x7e7e436a, 0xec6aeeba, 0x7e7d4d2f, 0xec64b930,
+    0x7e7c56a5, 0xec5e83b3,
+  0x7e7b5fce, 0xec584e41, 0x7e7a68a9, 0xec5218dc, 0x7e797136, 0xec4be383,
+    0x7e787975, 0xec45ae36,
+  0x7e778166, 0xec3f78f6, 0x7e768908, 0xec3943c1, 0x7e75905d, 0xec330e99,
+    0x7e749764, 0xec2cd97d,
+  0x7e739e1d, 0xec26a46d, 0x7e72a488, 0xec206f69, 0x7e71aaa4, 0xec1a3a72,
+    0x7e70b073, 0xec140587,
+  0x7e6fb5f4, 0xec0dd0a8, 0x7e6ebb27, 0xec079bd6, 0x7e6dc00c, 0xec01670f,
+    0x7e6cc4a2, 0xebfb3256,
+  0x7e6bc8eb, 0xebf4fda8, 0x7e6acce6, 0xebeec907, 0x7e69d093, 0xebe89472,
+    0x7e68d3f2, 0xebe25fea,
+  0x7e67d703, 0xebdc2b6e, 0x7e66d9c6, 0xebd5f6fe, 0x7e65dc3b, 0xebcfc29b,
+    0x7e64de62, 0xebc98e45,
+  0x7e63e03b, 0xebc359fb, 0x7e62e1c6, 0xebbd25bd, 0x7e61e303, 0xebb6f18c,
+    0x7e60e3f2, 0xebb0bd67,
+  0x7e5fe493, 0xebaa894f, 0x7e5ee4e6, 0xeba45543, 0x7e5de4ec, 0xeb9e2144,
+    0x7e5ce4a3, 0xeb97ed52,
+  0x7e5be40c, 0xeb91b96c, 0x7e5ae328, 0xeb8b8593, 0x7e59e1f5, 0xeb8551c6,
+    0x7e58e075, 0xeb7f1e06,
+  0x7e57dea7, 0xeb78ea52, 0x7e56dc8a, 0xeb72b6ac, 0x7e55da20, 0xeb6c8312,
+    0x7e54d768, 0xeb664f84,
+  0x7e53d462, 0xeb601c04, 0x7e52d10e, 0xeb59e890, 0x7e51cd6c, 0xeb53b529,
+    0x7e50c97c, 0xeb4d81ce,
+  0x7e4fc53e, 0xeb474e81, 0x7e4ec0b2, 0xeb411b40, 0x7e4dbbd9, 0xeb3ae80c,
+    0x7e4cb6b1, 0xeb34b4e4,
+  0x7e4bb13c, 0xeb2e81ca, 0x7e4aab78, 0xeb284ebc, 0x7e49a567, 0xeb221bbb,
+    0x7e489f08, 0xeb1be8c8,
+  0x7e47985b, 0xeb15b5e1, 0x7e469160, 0xeb0f8307, 0x7e458a17, 0xeb095039,
+    0x7e448281, 0xeb031d79,
+  0x7e437a9c, 0xeafceac6, 0x7e427269, 0xeaf6b81f, 0x7e4169e9, 0xeaf08586,
+    0x7e40611b, 0xeaea52fa,
+  0x7e3f57ff, 0xeae4207a, 0x7e3e4e95, 0xeaddee08, 0x7e3d44dd, 0xead7bba3,
+    0x7e3c3ad7, 0xead1894b,
+  0x7e3b3083, 0xeacb56ff, 0x7e3a25e2, 0xeac524c1, 0x7e391af3, 0xeabef290,
+    0x7e380fb5, 0xeab8c06c,
+  0x7e37042a, 0xeab28e56, 0x7e35f851, 0xeaac5c4c, 0x7e34ec2b, 0xeaa62a4f,
+    0x7e33dfb6, 0xea9ff860,
+  0x7e32d2f4, 0xea99c67e, 0x7e31c5e3, 0xea9394a9, 0x7e30b885, 0xea8d62e1,
+    0x7e2faad9, 0xea873127,
+  0x7e2e9cdf, 0xea80ff7a, 0x7e2d8e97, 0xea7acdda, 0x7e2c8002, 0xea749c47,
+    0x7e2b711f, 0xea6e6ac2,
+  0x7e2a61ed, 0xea683949, 0x7e29526e, 0xea6207df, 0x7e2842a2, 0xea5bd681,
+    0x7e273287, 0xea55a531,
+  0x7e26221f, 0xea4f73ee, 0x7e251168, 0xea4942b9, 0x7e240064, 0xea431191,
+    0x7e22ef12, 0xea3ce077,
+  0x7e21dd73, 0xea36af69, 0x7e20cb85, 0xea307e6a, 0x7e1fb94a, 0xea2a4d78,
+    0x7e1ea6c1, 0xea241c93,
+  0x7e1d93ea, 0xea1debbb, 0x7e1c80c5, 0xea17baf2, 0x7e1b6d53, 0xea118a35,
+    0x7e1a5992, 0xea0b5987,
+  0x7e194584, 0xea0528e5, 0x7e183128, 0xe9fef852, 0x7e171c7f, 0xe9f8c7cc,
+    0x7e160787, 0xe9f29753,
+  0x7e14f242, 0xe9ec66e8, 0x7e13dcaf, 0xe9e6368b, 0x7e12c6ce, 0xe9e0063c,
+    0x7e11b0a0, 0xe9d9d5fa,
+  0x7e109a24, 0xe9d3a5c5, 0x7e0f835a, 0xe9cd759f, 0x7e0e6c42, 0xe9c74586,
+    0x7e0d54dc, 0xe9c1157a,
+  0x7e0c3d29, 0xe9bae57d, 0x7e0b2528, 0xe9b4b58d, 0x7e0a0cd9, 0xe9ae85ab,
+    0x7e08f43d, 0xe9a855d7,
+  0x7e07db52, 0xe9a22610, 0x7e06c21a, 0xe99bf658, 0x7e05a894, 0xe995c6ad,
+    0x7e048ec1, 0xe98f9710,
+  0x7e0374a0, 0xe9896781, 0x7e025a31, 0xe98337ff, 0x7e013f74, 0xe97d088c,
+    0x7e00246a, 0xe976d926,
+  0x7dff0911, 0xe970a9ce, 0x7dfded6c, 0xe96a7a85, 0x7dfcd178, 0xe9644b49,
+    0x7dfbb537, 0xe95e1c1b,
+  0x7dfa98a8, 0xe957ecfb, 0x7df97bcb, 0xe951bde9, 0x7df85ea0, 0xe94b8ee5,
+    0x7df74128, 0xe9455fef,
+  0x7df62362, 0xe93f3107, 0x7df5054f, 0xe939022d, 0x7df3e6ee, 0xe932d361,
+    0x7df2c83f, 0xe92ca4a4,
+  0x7df1a942, 0xe92675f4, 0x7df089f8, 0xe9204752, 0x7def6a60, 0xe91a18bf,
+    0x7dee4a7a, 0xe913ea39,
+  0x7ded2a47, 0xe90dbbc2, 0x7dec09c6, 0xe9078d59, 0x7deae8f7, 0xe9015efe,
+    0x7de9c7da, 0xe8fb30b1,
+  0x7de8a670, 0xe8f50273, 0x7de784b9, 0xe8eed443, 0x7de662b3, 0xe8e8a621,
+    0x7de54060, 0xe8e2780d,
+  0x7de41dc0, 0xe8dc4a07, 0x7de2fad1, 0xe8d61c10, 0x7de1d795, 0xe8cfee27,
+    0x7de0b40b, 0xe8c9c04c,
+  0x7ddf9034, 0xe8c39280, 0x7dde6c0f, 0xe8bd64c2, 0x7ddd479d, 0xe8b73712,
+    0x7ddc22dc, 0xe8b10971,
+  0x7ddafdce, 0xe8aadbde, 0x7dd9d873, 0xe8a4ae59, 0x7dd8b2ca, 0xe89e80e3,
+    0x7dd78cd3, 0xe898537b,
+  0x7dd6668f, 0xe8922622, 0x7dd53ffc, 0xe88bf8d7, 0x7dd4191d, 0xe885cb9a,
+    0x7dd2f1f0, 0xe87f9e6c,
+  0x7dd1ca75, 0xe879714d, 0x7dd0a2ac, 0xe873443c, 0x7dcf7a96, 0xe86d173a,
+    0x7dce5232, 0xe866ea46,
+  0x7dcd2981, 0xe860bd61, 0x7dcc0082, 0xe85a908a, 0x7dcad736, 0xe85463c2,
+    0x7dc9ad9c, 0xe84e3708,
+  0x7dc883b4, 0xe8480a5d, 0x7dc7597f, 0xe841ddc1, 0x7dc62efc, 0xe83bb133,
+    0x7dc5042b, 0xe83584b4,
+  0x7dc3d90d, 0xe82f5844, 0x7dc2ada2, 0xe8292be3, 0x7dc181e8, 0xe822ff90,
+    0x7dc055e2, 0xe81cd34b,
+  0x7dbf298d, 0xe816a716, 0x7dbdfceb, 0xe8107aef, 0x7dbccffc, 0xe80a4ed7,
+    0x7dbba2bf, 0xe80422ce,
+  0x7dba7534, 0xe7fdf6d4, 0x7db9475c, 0xe7f7cae8, 0x7db81936, 0xe7f19f0c,
+    0x7db6eac3, 0xe7eb733e,
+  0x7db5bc02, 0xe7e5477f, 0x7db48cf4, 0xe7df1bcf, 0x7db35d98, 0xe7d8f02d,
+    0x7db22def, 0xe7d2c49b,
+  0x7db0fdf8, 0xe7cc9917, 0x7dafcdb3, 0xe7c66da3, 0x7dae9d21, 0xe7c0423d,
+    0x7dad6c42, 0xe7ba16e7,
+  0x7dac3b15, 0xe7b3eb9f, 0x7dab099a, 0xe7adc066, 0x7da9d7d2, 0xe7a7953d,
+    0x7da8a5bc, 0xe7a16a22,
+  0x7da77359, 0xe79b3f16, 0x7da640a9, 0xe795141a, 0x7da50dab, 0xe78ee92c,
+    0x7da3da5f, 0xe788be4e,
+  0x7da2a6c6, 0xe782937e, 0x7da172df, 0xe77c68be, 0x7da03eab, 0xe7763e0d,
+    0x7d9f0a29, 0xe770136b,
+  0x7d9dd55a, 0xe769e8d8, 0x7d9ca03e, 0xe763be55, 0x7d9b6ad3, 0xe75d93e0,
+    0x7d9a351c, 0xe757697b,
+  0x7d98ff17, 0xe7513f25, 0x7d97c8c4, 0xe74b14de, 0x7d969224, 0xe744eaa6,
+    0x7d955b37, 0xe73ec07e,
+  0x7d9423fc, 0xe7389665, 0x7d92ec73, 0xe7326c5b, 0x7d91b49e, 0xe72c4260,
+    0x7d907c7a, 0xe7261875,
+  0x7d8f4409, 0xe71fee99, 0x7d8e0b4b, 0xe719c4cd, 0x7d8cd240, 0xe7139b10,
+    0x7d8b98e6, 0xe70d7162,
+  0x7d8a5f40, 0xe70747c4, 0x7d89254c, 0xe7011e35, 0x7d87eb0a, 0xe6faf4b5,
+    0x7d86b07c, 0xe6f4cb45,
+  0x7d85759f, 0xe6eea1e4, 0x7d843a76, 0xe6e87893, 0x7d82fefe, 0xe6e24f51,
+    0x7d81c33a, 0xe6dc261f,
+  0x7d808728, 0xe6d5fcfc, 0x7d7f4ac8, 0xe6cfd3e9, 0x7d7e0e1c, 0xe6c9aae5,
+    0x7d7cd121, 0xe6c381f1,
+  0x7d7b93da, 0xe6bd590d, 0x7d7a5645, 0xe6b73038, 0x7d791862, 0xe6b10772,
+    0x7d77da32, 0xe6aadebc,
+  0x7d769bb5, 0xe6a4b616, 0x7d755cea, 0xe69e8d80, 0x7d741dd2, 0xe69864f9,
+    0x7d72de6d, 0xe6923c82,
+  0x7d719eba, 0xe68c141a, 0x7d705eba, 0xe685ebc2, 0x7d6f1e6c, 0xe67fc37a,
+    0x7d6dddd2, 0xe6799b42,
+  0x7d6c9ce9, 0xe6737319, 0x7d6b5bb4, 0xe66d4b01, 0x7d6a1a31, 0xe66722f7,
+    0x7d68d860, 0xe660fafe,
+  0x7d679642, 0xe65ad315, 0x7d6653d7, 0xe654ab3b, 0x7d65111f, 0xe64e8371,
+    0x7d63ce19, 0xe6485bb7,
+  0x7d628ac6, 0xe642340d, 0x7d614725, 0xe63c0c73, 0x7d600338, 0xe635e4e9,
+    0x7d5ebefc, 0xe62fbd6e,
+  0x7d5d7a74, 0xe6299604, 0x7d5c359e, 0xe6236ea9, 0x7d5af07b, 0xe61d475e,
+    0x7d59ab0a, 0xe6172024,
+  0x7d58654d, 0xe610f8f9, 0x7d571f41, 0xe60ad1de, 0x7d55d8e9, 0xe604aad4,
+    0x7d549243, 0xe5fe83d9,
+  0x7d534b50, 0xe5f85cef, 0x7d520410, 0xe5f23614, 0x7d50bc82, 0xe5ec0f4a,
+    0x7d4f74a7, 0xe5e5e88f,
+  0x7d4e2c7f, 0xe5dfc1e5, 0x7d4ce409, 0xe5d99b4b, 0x7d4b9b46, 0xe5d374c1,
+    0x7d4a5236, 0xe5cd4e47,
+  0x7d4908d9, 0xe5c727dd, 0x7d47bf2e, 0xe5c10184, 0x7d467536, 0xe5badb3a,
+    0x7d452af1, 0xe5b4b501,
+  0x7d43e05e, 0xe5ae8ed8, 0x7d42957e, 0xe5a868bf, 0x7d414a51, 0xe5a242b7,
+    0x7d3ffed7, 0xe59c1cbf,
+  0x7d3eb30f, 0xe595f6d7, 0x7d3d66fa, 0xe58fd0ff, 0x7d3c1a98, 0xe589ab38,
+    0x7d3acde9, 0xe5838581,
+  0x7d3980ec, 0xe57d5fda, 0x7d3833a2, 0xe5773a44, 0x7d36e60b, 0xe57114be,
+    0x7d359827, 0xe56aef49,
+  0x7d3449f5, 0xe564c9e3, 0x7d32fb76, 0xe55ea48f, 0x7d31acaa, 0xe5587f4a,
+    0x7d305d91, 0xe5525a17,
+  0x7d2f0e2b, 0xe54c34f3, 0x7d2dbe77, 0xe5460fe0, 0x7d2c6e76, 0xe53feade,
+    0x7d2b1e28, 0xe539c5ec,
+  0x7d29cd8c, 0xe533a10a, 0x7d287ca4, 0xe52d7c39, 0x7d272b6e, 0xe5275779,
+    0x7d25d9eb, 0xe52132c9,
+  0x7d24881b, 0xe51b0e2a, 0x7d2335fe, 0xe514e99b, 0x7d21e393, 0xe50ec51d,
+    0x7d2090db, 0xe508a0b0,
+  0x7d1f3dd6, 0xe5027c53, 0x7d1dea84, 0xe4fc5807, 0x7d1c96e5, 0xe4f633cc,
+    0x7d1b42f9, 0xe4f00fa1,
+  0x7d19eebf, 0xe4e9eb87, 0x7d189a38, 0xe4e3c77d, 0x7d174564, 0xe4dda385,
+    0x7d15f043, 0xe4d77f9d,
+  0x7d149ad5, 0xe4d15bc6, 0x7d134519, 0xe4cb37ff, 0x7d11ef11, 0xe4c5144a,
+    0x7d1098bb, 0xe4bef0a5,
+  0x7d0f4218, 0xe4b8cd11, 0x7d0deb28, 0xe4b2a98e, 0x7d0c93eb, 0xe4ac861b,
+    0x7d0b3c60, 0xe4a662ba,
+  0x7d09e489, 0xe4a03f69, 0x7d088c64, 0xe49a1c29, 0x7d0733f3, 0xe493f8fb,
+    0x7d05db34, 0xe48dd5dd,
+  0x7d048228, 0xe487b2d0, 0x7d0328cf, 0xe4818fd4, 0x7d01cf29, 0xe47b6ce9,
+    0x7d007535, 0xe4754a0e,
+  0x7cff1af5, 0xe46f2745, 0x7cfdc068, 0xe469048d, 0x7cfc658d, 0xe462e1e6,
+    0x7cfb0a65, 0xe45cbf50,
+  0x7cf9aef0, 0xe4569ccb, 0x7cf8532f, 0xe4507a57, 0x7cf6f720, 0xe44a57f4,
+    0x7cf59ac4, 0xe44435a2,
+  0x7cf43e1a, 0xe43e1362, 0x7cf2e124, 0xe437f132, 0x7cf183e1, 0xe431cf14,
+    0x7cf02651, 0xe42bad07,
+  0x7ceec873, 0xe4258b0a, 0x7ced6a49, 0xe41f6920, 0x7cec0bd1, 0xe4194746,
+    0x7ceaad0c, 0xe413257d,
+  0x7ce94dfb, 0xe40d03c6, 0x7ce7ee9c, 0xe406e220, 0x7ce68ef0, 0xe400c08b,
+    0x7ce52ef7, 0xe3fa9f08,
+  0x7ce3ceb2, 0xe3f47d96, 0x7ce26e1f, 0xe3ee5c35, 0x7ce10d3f, 0xe3e83ae5,
+    0x7cdfac12, 0xe3e219a7,
+  0x7cde4a98, 0xe3dbf87a, 0x7cdce8d1, 0xe3d5d75e, 0x7cdb86bd, 0xe3cfb654,
+    0x7cda245c, 0xe3c9955b,
+  0x7cd8c1ae, 0xe3c37474, 0x7cd75eb3, 0xe3bd539e, 0x7cd5fb6a, 0xe3b732d9,
+    0x7cd497d5, 0xe3b11226,
+  0x7cd333f3, 0xe3aaf184, 0x7cd1cfc4, 0xe3a4d0f4, 0x7cd06b48, 0xe39eb075,
+    0x7ccf067f, 0xe3989008,
+  0x7ccda169, 0xe3926fad, 0x7ccc3c06, 0xe38c4f63, 0x7ccad656, 0xe3862f2a,
+    0x7cc97059, 0xe3800f03,
+  0x7cc80a0f, 0xe379eeed, 0x7cc6a378, 0xe373ceea, 0x7cc53c94, 0xe36daef7,
+    0x7cc3d563, 0xe3678f17,
+  0x7cc26de5, 0xe3616f48, 0x7cc1061a, 0xe35b4f8b, 0x7cbf9e03, 0xe3552fdf,
+    0x7cbe359e, 0xe34f1045,
+  0x7cbcccec, 0xe348f0bd, 0x7cbb63ee, 0xe342d146, 0x7cb9faa2, 0xe33cb1e1,
+    0x7cb8910a, 0xe336928e,
+  0x7cb72724, 0xe330734d, 0x7cb5bcf2, 0xe32a541d, 0x7cb45272, 0xe3243500,
+    0x7cb2e7a6, 0xe31e15f4,
+  0x7cb17c8d, 0xe317f6fa, 0x7cb01127, 0xe311d811, 0x7caea574, 0xe30bb93b,
+    0x7cad3974, 0xe3059a76,
+  0x7cabcd28, 0xe2ff7bc3, 0x7caa608e, 0xe2f95d23, 0x7ca8f3a7, 0xe2f33e94,
+    0x7ca78674, 0xe2ed2017,
+  0x7ca618f3, 0xe2e701ac, 0x7ca4ab26, 0xe2e0e352, 0x7ca33d0c, 0xe2dac50b,
+    0x7ca1cea5, 0xe2d4a6d6,
+  0x7ca05ff1, 0xe2ce88b3, 0x7c9ef0f0, 0xe2c86aa2, 0x7c9d81a3, 0xe2c24ca2,
+    0x7c9c1208, 0xe2bc2eb5,
+  0x7c9aa221, 0xe2b610da, 0x7c9931ec, 0xe2aff311, 0x7c97c16b, 0xe2a9d55a,
+    0x7c96509d, 0xe2a3b7b5,
+  0x7c94df83, 0xe29d9a23, 0x7c936e1b, 0xe2977ca2, 0x7c91fc66, 0xe2915f34,
+    0x7c908a65, 0xe28b41d7,
+  0x7c8f1817, 0xe285248d, 0x7c8da57c, 0xe27f0755, 0x7c8c3294, 0xe278ea30,
+    0x7c8abf5f, 0xe272cd1c,
+  0x7c894bde, 0xe26cb01b, 0x7c87d810, 0xe266932c, 0x7c8663f4, 0xe260764f,
+    0x7c84ef8c, 0xe25a5984,
+  0x7c837ad8, 0xe2543ccc, 0x7c8205d6, 0xe24e2026, 0x7c809088, 0xe2480393,
+    0x7c7f1aed, 0xe241e711,
+  0x7c7da505, 0xe23bcaa2, 0x7c7c2ed0, 0xe235ae46, 0x7c7ab84e, 0xe22f91fc,
+    0x7c794180, 0xe22975c4,
+  0x7c77ca65, 0xe223599e, 0x7c7652fd, 0xe21d3d8b, 0x7c74db48, 0xe217218b,
+    0x7c736347, 0xe211059d,
+  0x7c71eaf9, 0xe20ae9c1, 0x7c70725e, 0xe204cdf8, 0x7c6ef976, 0xe1feb241,
+    0x7c6d8041, 0xe1f8969d,
+  0x7c6c06c0, 0xe1f27b0b, 0x7c6a8cf2, 0xe1ec5f8c, 0x7c6912d7, 0xe1e64420,
+    0x7c679870, 0xe1e028c6,
+  0x7c661dbc, 0xe1da0d7e, 0x7c64a2bb, 0xe1d3f24a, 0x7c63276d, 0xe1cdd727,
+    0x7c61abd3, 0xe1c7bc18,
+  0x7c602fec, 0xe1c1a11b, 0x7c5eb3b8, 0xe1bb8631, 0x7c5d3737, 0xe1b56b59,
+    0x7c5bba6a, 0xe1af5094,
+  0x7c5a3d50, 0xe1a935e2, 0x7c58bfe9, 0xe1a31b42, 0x7c574236, 0xe19d00b6,
+    0x7c55c436, 0xe196e63c,
+  0x7c5445e9, 0xe190cbd4, 0x7c52c74f, 0xe18ab180, 0x7c514869, 0xe184973e,
+    0x7c4fc936, 0xe17e7d0f,
+  0x7c4e49b7, 0xe17862f3, 0x7c4cc9ea, 0xe17248ea, 0x7c4b49d2, 0xe16c2ef4,
+    0x7c49c96c, 0xe1661510,
+  0x7c4848ba, 0xe15ffb3f, 0x7c46c7bb, 0xe159e182, 0x7c45466f, 0xe153c7d7,
+    0x7c43c4d7, 0xe14dae3f,
+  0x7c4242f2, 0xe14794ba, 0x7c40c0c1, 0xe1417b48, 0x7c3f3e42, 0xe13b61e9,
+    0x7c3dbb78, 0xe135489d,
+  0x7c3c3860, 0xe12f2f63, 0x7c3ab4fc, 0xe129163d, 0x7c39314b, 0xe122fd2a,
+    0x7c37ad4e, 0xe11ce42a,
+  0x7c362904, 0xe116cb3d, 0x7c34a46d, 0xe110b263, 0x7c331f8a, 0xe10a999c,
+    0x7c319a5a, 0xe10480e9,
+  0x7c3014de, 0xe0fe6848, 0x7c2e8f15, 0xe0f84fbb, 0x7c2d08ff, 0xe0f23740,
+    0x7c2b829d, 0xe0ec1ed9,
+  0x7c29fbee, 0xe0e60685, 0x7c2874f3, 0xe0dfee44, 0x7c26edab, 0xe0d9d616,
+    0x7c256616, 0xe0d3bdfc,
+  0x7c23de35, 0xe0cda5f5, 0x7c225607, 0xe0c78e01, 0x7c20cd8d, 0xe0c17620,
+    0x7c1f44c6, 0xe0bb5e53,
+  0x7c1dbbb3, 0xe0b54698, 0x7c1c3253, 0xe0af2ef2, 0x7c1aa8a6, 0xe0a9175e,
+    0x7c191ead, 0xe0a2ffde,
+  0x7c179467, 0xe09ce871, 0x7c1609d5, 0xe096d117, 0x7c147ef6, 0xe090b9d1,
+    0x7c12f3cb, 0xe08aa29f,
+  0x7c116853, 0xe0848b7f, 0x7c0fdc8f, 0xe07e7473, 0x7c0e507e, 0xe0785d7b,
+    0x7c0cc421, 0xe0724696,
+  0x7c0b3777, 0xe06c2fc4, 0x7c09aa80, 0xe0661906, 0x7c081d3d, 0xe060025c,
+    0x7c068fae, 0xe059ebc5,
+  0x7c0501d2, 0xe053d541, 0x7c0373a9, 0xe04dbed1, 0x7c01e534, 0xe047a875,
+    0x7c005673, 0xe041922c,
+  0x7bfec765, 0xe03b7bf6, 0x7bfd380a, 0xe03565d5, 0x7bfba863, 0xe02f4fc6,
+    0x7bfa1870, 0xe02939cc,
+  0x7bf88830, 0xe02323e5, 0x7bf6f7a4, 0xe01d0e12, 0x7bf566cb, 0xe016f852,
+    0x7bf3d5a6, 0xe010e2a7,
+  0x7bf24434, 0xe00acd0e, 0x7bf0b276, 0xe004b78a, 0x7bef206b, 0xdffea219,
+    0x7bed8e14, 0xdff88cbc,
+  0x7bebfb70, 0xdff27773, 0x7bea6880, 0xdfec623e, 0x7be8d544, 0xdfe64d1c,
+    0x7be741bb, 0xdfe0380e,
+  0x7be5ade6, 0xdfda2314, 0x7be419c4, 0xdfd40e2e, 0x7be28556, 0xdfcdf95c,
+    0x7be0f09b, 0xdfc7e49d,
+  0x7bdf5b94, 0xdfc1cff3, 0x7bddc641, 0xdfbbbb5c, 0x7bdc30a1, 0xdfb5a6d9,
+    0x7bda9ab5, 0xdfaf926a,
+  0x7bd9047c, 0xdfa97e0f, 0x7bd76df7, 0xdfa369c8, 0x7bd5d726, 0xdf9d5595,
+    0x7bd44008, 0xdf974176,
+  0x7bd2a89e, 0xdf912d6b, 0x7bd110e8, 0xdf8b1974, 0x7bcf78e5, 0xdf850591,
+    0x7bcde095, 0xdf7ef1c2,
+  0x7bcc47fa, 0xdf78de07, 0x7bcaaf12, 0xdf72ca60, 0x7bc915dd, 0xdf6cb6cd,
+    0x7bc77c5d, 0xdf66a34e,
+  0x7bc5e290, 0xdf608fe4, 0x7bc44876, 0xdf5a7c8d, 0x7bc2ae10, 0xdf54694b,
+    0x7bc1135e, 0xdf4e561c,
+  0x7bbf7860, 0xdf484302, 0x7bbddd15, 0xdf422ffd, 0x7bbc417e, 0xdf3c1d0b,
+    0x7bbaa59a, 0xdf360a2d,
+  0x7bb9096b, 0xdf2ff764, 0x7bb76cef, 0xdf29e4af, 0x7bb5d026, 0xdf23d20e,
+    0x7bb43311, 0xdf1dbf82,
+  0x7bb295b0, 0xdf17ad0a, 0x7bb0f803, 0xdf119aa6, 0x7baf5a09, 0xdf0b8856,
+    0x7badbbc3, 0xdf05761b,
+  0x7bac1d31, 0xdeff63f4, 0x7baa7e53, 0xdef951e2, 0x7ba8df28, 0xdef33fe3,
+    0x7ba73fb1, 0xdeed2dfa,
+  0x7ba59fee, 0xdee71c24, 0x7ba3ffde, 0xdee10a63, 0x7ba25f82, 0xdedaf8b7,
+    0x7ba0beda, 0xded4e71f,
+  0x7b9f1de6, 0xdeced59b, 0x7b9d7ca5, 0xdec8c42c, 0x7b9bdb18, 0xdec2b2d1,
+    0x7b9a393f, 0xdebca18b,
+  0x7b989719, 0xdeb69059, 0x7b96f4a8, 0xdeb07f3c, 0x7b9551ea, 0xdeaa6e34,
+    0x7b93aee0, 0xdea45d40,
+  0x7b920b89, 0xde9e4c60, 0x7b9067e7, 0xde983b95, 0x7b8ec3f8, 0xde922adf,
+    0x7b8d1fbd, 0xde8c1a3e,
+  0x7b8b7b36, 0xde8609b1, 0x7b89d662, 0xde7ff938, 0x7b883143, 0xde79e8d5,
+    0x7b868bd7, 0xde73d886,
+  0x7b84e61f, 0xde6dc84b, 0x7b83401b, 0xde67b826, 0x7b8199ca, 0xde61a815,
+    0x7b7ff32e, 0xde5b9819,
+  0x7b7e4c45, 0xde558831, 0x7b7ca510, 0xde4f785f, 0x7b7afd8f, 0xde4968a1,
+    0x7b7955c2, 0xde4358f8,
+  0x7b77ada8, 0xde3d4964, 0x7b760542, 0xde3739e4, 0x7b745c91, 0xde312a7a,
+    0x7b72b393, 0xde2b1b24,
+  0x7b710a49, 0xde250be3, 0x7b6f60b2, 0xde1efcb7, 0x7b6db6d0, 0xde18eda0,
+    0x7b6c0ca2, 0xde12de9e,
+  0x7b6a6227, 0xde0ccfb1, 0x7b68b760, 0xde06c0d9, 0x7b670c4d, 0xde00b216,
+    0x7b6560ee, 0xddfaa367,
+  0x7b63b543, 0xddf494ce, 0x7b62094c, 0xddee8649, 0x7b605d09, 0xdde877da,
+    0x7b5eb079, 0xdde26980,
+  0x7b5d039e, 0xdddc5b3b, 0x7b5b5676, 0xddd64d0a, 0x7b59a902, 0xddd03eef,
+    0x7b57fb42, 0xddca30e9,
+  0x7b564d36, 0xddc422f8, 0x7b549ede, 0xddbe151d, 0x7b52f03a, 0xddb80756,
+    0x7b51414a, 0xddb1f9a4,
+  0x7b4f920e, 0xddabec08, 0x7b4de286, 0xdda5de81, 0x7b4c32b1, 0xdd9fd10f,
+    0x7b4a8291, 0xdd99c3b2,
+  0x7b48d225, 0xdd93b66a, 0x7b47216c, 0xdd8da938, 0x7b457068, 0xdd879c1b,
+    0x7b43bf17, 0xdd818f13,
+  0x7b420d7a, 0xdd7b8220, 0x7b405b92, 0xdd757543, 0x7b3ea95d, 0xdd6f687b,
+    0x7b3cf6dc, 0xdd695bc9,
+  0x7b3b4410, 0xdd634f2b, 0x7b3990f7, 0xdd5d42a3, 0x7b37dd92, 0xdd573631,
+    0x7b3629e1, 0xdd5129d4,
+  0x7b3475e5, 0xdd4b1d8c, 0x7b32c19c, 0xdd451159, 0x7b310d07, 0xdd3f053c,
+    0x7b2f5826, 0xdd38f935,
+  0x7b2da2fa, 0xdd32ed43, 0x7b2bed81, 0xdd2ce166, 0x7b2a37bc, 0xdd26d59f,
+    0x7b2881ac, 0xdd20c9ed,
+  0x7b26cb4f, 0xdd1abe51, 0x7b2514a6, 0xdd14b2ca, 0x7b235db2, 0xdd0ea759,
+    0x7b21a671, 0xdd089bfe,
+  0x7b1feee5, 0xdd0290b8, 0x7b1e370d, 0xdcfc8588, 0x7b1c7ee8, 0xdcf67a6d,
+    0x7b1ac678, 0xdcf06f68,
+  0x7b190dbc, 0xdcea6478, 0x7b1754b3, 0xdce4599e, 0x7b159b5f, 0xdcde4eda,
+    0x7b13e1bf, 0xdcd8442b,
+  0x7b1227d3, 0xdcd23993, 0x7b106d9b, 0xdccc2f0f, 0x7b0eb318, 0xdcc624a2,
+    0x7b0cf848, 0xdcc01a4a,
+  0x7b0b3d2c, 0xdcba1008, 0x7b0981c5, 0xdcb405dc, 0x7b07c612, 0xdcadfbc5,
+    0x7b060a12, 0xdca7f1c5,
+  0x7b044dc7, 0xdca1e7da, 0x7b029130, 0xdc9bde05, 0x7b00d44d, 0xdc95d446,
+    0x7aff171e, 0xdc8fca9c,
+  0x7afd59a4, 0xdc89c109, 0x7afb9bdd, 0xdc83b78b, 0x7af9ddcb, 0xdc7dae23,
+    0x7af81f6c, 0xdc77a4d2,
+  0x7af660c2, 0xdc719b96, 0x7af4a1cc, 0xdc6b9270, 0x7af2e28b, 0xdc658960,
+    0x7af122fd, 0xdc5f8066,
+  0x7aef6323, 0xdc597781, 0x7aeda2fe, 0xdc536eb3, 0x7aebe28d, 0xdc4d65fb,
+    0x7aea21d0, 0xdc475d59,
+  0x7ae860c7, 0xdc4154cd, 0x7ae69f73, 0xdc3b4c57, 0x7ae4ddd2, 0xdc3543f7,
+    0x7ae31be6, 0xdc2f3bad,
+  0x7ae159ae, 0xdc293379, 0x7adf972a, 0xdc232b5c, 0x7addd45b, 0xdc1d2354,
+    0x7adc113f, 0xdc171b63,
+  0x7ada4dd8, 0xdc111388, 0x7ad88a25, 0xdc0b0bc2, 0x7ad6c626, 0xdc050414,
+    0x7ad501dc, 0xdbfefc7b,
+  0x7ad33d45, 0xdbf8f4f8, 0x7ad17863, 0xdbf2ed8c, 0x7acfb336, 0xdbece636,
+    0x7acdedbc, 0xdbe6def6,
+  0x7acc27f7, 0xdbe0d7cd, 0x7aca61e6, 0xdbdad0b9, 0x7ac89b89, 0xdbd4c9bc,
+    0x7ac6d4e0, 0xdbcec2d6,
+  0x7ac50dec, 0xdbc8bc06, 0x7ac346ac, 0xdbc2b54c, 0x7ac17f20, 0xdbbcaea8,
+    0x7abfb749, 0xdbb6a81b,
+  0x7abdef25, 0xdbb0a1a4, 0x7abc26b7, 0xdbaa9b43, 0x7aba5dfc, 0xdba494f9,
+    0x7ab894f6, 0xdb9e8ec6,
+  0x7ab6cba4, 0xdb9888a8, 0x7ab50206, 0xdb9282a2, 0x7ab3381d, 0xdb8c7cb1,
+    0x7ab16de7, 0xdb8676d8,
+  0x7aafa367, 0xdb807114, 0x7aadd89a, 0xdb7a6b68, 0x7aac0d82, 0xdb7465d1,
+    0x7aaa421e, 0xdb6e6052,
+  0x7aa8766f, 0xdb685ae9, 0x7aa6aa74, 0xdb625596, 0x7aa4de2d, 0xdb5c505a,
+    0x7aa3119a, 0xdb564b35,
+  0x7aa144bc, 0xdb504626, 0x7a9f7793, 0xdb4a412e, 0x7a9daa1d, 0xdb443c4c,
+    0x7a9bdc5c, 0xdb3e3781,
+  0x7a9a0e50, 0xdb3832cd, 0x7a983ff7, 0xdb322e30, 0x7a967153, 0xdb2c29a9,
+    0x7a94a264, 0xdb262539,
+  0x7a92d329, 0xdb2020e0, 0x7a9103a2, 0xdb1a1c9d, 0x7a8f33d0, 0xdb141871,
+    0x7a8d63b2, 0xdb0e145c,
+  0x7a8b9348, 0xdb08105e, 0x7a89c293, 0xdb020c77, 0x7a87f192, 0xdafc08a6,
+    0x7a862046, 0xdaf604ec,
+  0x7a844eae, 0xdaf00149, 0x7a827ccb, 0xdae9fdbd, 0x7a80aa9c, 0xdae3fa48,
+    0x7a7ed821, 0xdaddf6ea,
+  0x7a7d055b, 0xdad7f3a2, 0x7a7b3249, 0xdad1f072, 0x7a795eec, 0xdacbed58,
+    0x7a778b43, 0xdac5ea56,
+  0x7a75b74f, 0xdabfe76a, 0x7a73e30f, 0xdab9e495, 0x7a720e84, 0xdab3e1d8,
+    0x7a7039ad, 0xdaaddf31,
+  0x7a6e648a, 0xdaa7dca1, 0x7a6c8f1c, 0xdaa1da29, 0x7a6ab963, 0xda9bd7c7,
+    0x7a68e35e, 0xda95d57d,
+  0x7a670d0d, 0xda8fd349, 0x7a653671, 0xda89d12d, 0x7a635f8a, 0xda83cf28,
+    0x7a618857, 0xda7dcd3a,
+  0x7a5fb0d8, 0xda77cb63, 0x7a5dd90e, 0xda71c9a3, 0x7a5c00f9, 0xda6bc7fa,
+    0x7a5a2898, 0xda65c669,
+  0x7a584feb, 0xda5fc4ef, 0x7a5676f3, 0xda59c38c, 0x7a549db0, 0xda53c240,
+    0x7a52c421, 0xda4dc10b,
+  0x7a50ea47, 0xda47bfee, 0x7a4f1021, 0xda41bee8, 0x7a4d35b0, 0xda3bbdf9,
+    0x7a4b5af3, 0xda35bd22,
+  0x7a497feb, 0xda2fbc61, 0x7a47a498, 0xda29bbb9, 0x7a45c8f9, 0xda23bb27,
+    0x7a43ed0e, 0xda1dbaad,
+  0x7a4210d8, 0xda17ba4a, 0x7a403457, 0xda11b9ff, 0x7a3e578b, 0xda0bb9cb,
+    0x7a3c7a73, 0xda05b9ae,
+  0x7a3a9d0f, 0xd9ffb9a9, 0x7a38bf60, 0xd9f9b9bb, 0x7a36e166, 0xd9f3b9e5,
+    0x7a350321, 0xd9edba26,
+  0x7a332490, 0xd9e7ba7f, 0x7a3145b3, 0xd9e1baef, 0x7a2f668c, 0xd9dbbb77,
+    0x7a2d8719, 0xd9d5bc16,
+  0x7a2ba75a, 0xd9cfbccd, 0x7a29c750, 0xd9c9bd9b, 0x7a27e6fb, 0xd9c3be81,
+    0x7a26065b, 0xd9bdbf7e,
+  0x7a24256f, 0xd9b7c094, 0x7a224437, 0xd9b1c1c0, 0x7a2062b5, 0xd9abc305,
+    0x7a1e80e7, 0xd9a5c461,
+  0x7a1c9ece, 0xd99fc5d4, 0x7a1abc69, 0xd999c75f, 0x7a18d9b9, 0xd993c902,
+    0x7a16f6be, 0xd98dcabd,
+  0x7a151378, 0xd987cc90, 0x7a132fe6, 0xd981ce7a, 0x7a114c09, 0xd97bd07c,
+    0x7a0f67e0, 0xd975d295,
+  0x7a0d836d, 0xd96fd4c7, 0x7a0b9eae, 0xd969d710, 0x7a09b9a4, 0xd963d971,
+    0x7a07d44e, 0xd95ddbea,
+  0x7a05eead, 0xd957de7a, 0x7a0408c1, 0xd951e123, 0x7a02228a, 0xd94be3e3,
+    0x7a003c07, 0xd945e6bb,
+  0x79fe5539, 0xd93fe9ab, 0x79fc6e20, 0xd939ecb3, 0x79fa86bc, 0xd933efd3,
+    0x79f89f0c, 0xd92df30b,
+  0x79f6b711, 0xd927f65b, 0x79f4cecb, 0xd921f9c3, 0x79f2e63a, 0xd91bfd43,
+    0x79f0fd5d, 0xd91600da,
+  0x79ef1436, 0xd910048a, 0x79ed2ac3, 0xd90a0852, 0x79eb4105, 0xd9040c32,
+    0x79e956fb, 0xd8fe1029,
+  0x79e76ca7, 0xd8f81439, 0x79e58207, 0xd8f21861, 0x79e3971c, 0xd8ec1ca1,
+    0x79e1abe6, 0xd8e620fa,
+  0x79dfc064, 0xd8e0256a, 0x79ddd498, 0xd8da29f2, 0x79dbe880, 0xd8d42e93,
+    0x79d9fc1d, 0xd8ce334c,
+  0x79d80f6f, 0xd8c8381d, 0x79d62276, 0xd8c23d06, 0x79d43532, 0xd8bc4207,
+    0x79d247a2, 0xd8b64720,
+  0x79d059c8, 0xd8b04c52, 0x79ce6ba2, 0xd8aa519c, 0x79cc7d31, 0xd8a456ff,
+    0x79ca8e75, 0xd89e5c79,
+  0x79c89f6e, 0xd898620c, 0x79c6b01b, 0xd89267b7, 0x79c4c07e, 0xd88c6d7b,
+    0x79c2d095, 0xd8867356,
+  0x79c0e062, 0xd880794b, 0x79beefe3, 0xd87a7f57, 0x79bcff19, 0xd874857c,
+    0x79bb0e04, 0xd86e8bb9,
+  0x79b91ca4, 0xd868920f, 0x79b72af9, 0xd862987d, 0x79b53903, 0xd85c9f04,
+    0x79b346c2, 0xd856a5a3,
+  0x79b15435, 0xd850ac5a, 0x79af615e, 0xd84ab32a, 0x79ad6e3c, 0xd844ba13,
+    0x79ab7ace, 0xd83ec114,
+  0x79a98715, 0xd838c82d, 0x79a79312, 0xd832cf5f, 0x79a59ec3, 0xd82cd6aa,
+    0x79a3aa29, 0xd826de0d,
+  0x79a1b545, 0xd820e589, 0x799fc015, 0xd81aed1d, 0x799dca9a, 0xd814f4ca,
+    0x799bd4d4, 0xd80efc8f,
+  0x7999dec4, 0xd809046e, 0x7997e868, 0xd8030c64, 0x7995f1c1, 0xd7fd1474,
+    0x7993facf, 0xd7f71c9c,
+  0x79920392, 0xd7f124dd, 0x79900c0a, 0xd7eb2d37, 0x798e1438, 0xd7e535a9,
+    0x798c1c1a, 0xd7df3e34,
+  0x798a23b1, 0xd7d946d8, 0x79882afd, 0xd7d34f94, 0x798631ff, 0xd7cd586a,
+    0x798438b5, 0xd7c76158,
+  0x79823f20, 0xd7c16a5f, 0x79804541, 0xd7bb737f, 0x797e4b16, 0xd7b57cb7,
+    0x797c50a1, 0xd7af8609,
+  0x797a55e0, 0xd7a98f73, 0x79785ad5, 0xd7a398f6, 0x79765f7f, 0xd79da293,
+    0x797463de, 0xd797ac48,
+  0x797267f2, 0xd791b616, 0x79706bbb, 0xd78bbffc, 0x796e6f39, 0xd785c9fc,
+    0x796c726c, 0xd77fd415,
+  0x796a7554, 0xd779de47, 0x796877f1, 0xd773e892, 0x79667a44, 0xd76df2f6,
+    0x79647c4c, 0xd767fd72,
+  0x79627e08, 0xd7620808, 0x79607f7a, 0xd75c12b7, 0x795e80a1, 0xd7561d7f,
+    0x795c817d, 0xd7502860,
+  0x795a820e, 0xd74a335b, 0x79588255, 0xd7443e6e, 0x79568250, 0xd73e499a,
+    0x79548201, 0xd73854e0,
+  0x79528167, 0xd732603f, 0x79508082, 0xd72c6bb6, 0x794e7f52, 0xd7267748,
+    0x794c7dd7, 0xd72082f2,
+  0x794a7c12, 0xd71a8eb5, 0x79487a01, 0xd7149a92, 0x794677a6, 0xd70ea688,
+    0x79447500, 0xd708b297,
+  0x79427210, 0xd702bec0, 0x79406ed4, 0xd6fccb01, 0x793e6b4e, 0xd6f6d75d,
+    0x793c677d, 0xd6f0e3d1,
+  0x793a6361, 0xd6eaf05f, 0x79385efa, 0xd6e4fd06, 0x79365a49, 0xd6df09c6,
+    0x7934554d, 0xd6d916a0,
+  0x79325006, 0xd6d32393, 0x79304a74, 0xd6cd30a0, 0x792e4497, 0xd6c73dc6,
+    0x792c3e70, 0xd6c14b05,
+  0x792a37fe, 0xd6bb585e, 0x79283141, 0xd6b565d0, 0x79262a3a, 0xd6af735c,
+    0x792422e8, 0xd6a98101,
+  0x79221b4b, 0xd6a38ec0, 0x79201363, 0xd69d9c98, 0x791e0b31, 0xd697aa8a,
+    0x791c02b4, 0xd691b895,
+  0x7919f9ec, 0xd68bc6ba, 0x7917f0d9, 0xd685d4f9, 0x7915e77c, 0xd67fe351,
+    0x7913ddd4, 0xd679f1c2,
+  0x7911d3e2, 0xd674004e, 0x790fc9a4, 0xd66e0ef2, 0x790dbf1d, 0xd6681db1,
+    0x790bb44a, 0xd6622c89,
+  0x7909a92d, 0xd65c3b7b, 0x79079dc5, 0xd6564a87, 0x79059212, 0xd65059ac,
+    0x79038615, 0xd64a68eb,
+  0x790179cd, 0xd6447844, 0x78ff6d3b, 0xd63e87b6, 0x78fd605d, 0xd6389742,
+    0x78fb5336, 0xd632a6e8,
+  0x78f945c3, 0xd62cb6a8, 0x78f73806, 0xd626c681, 0x78f529fe, 0xd620d675,
+    0x78f31bac, 0xd61ae682,
+  0x78f10d0f, 0xd614f6a9, 0x78eefe28, 0xd60f06ea, 0x78eceef6, 0xd6091745,
+    0x78eadf79, 0xd60327b9,
+  0x78e8cfb2, 0xd5fd3848, 0x78e6bfa0, 0xd5f748f0, 0x78e4af44, 0xd5f159b3,
+    0x78e29e9d, 0xd5eb6a8f,
+  0x78e08dab, 0xd5e57b85, 0x78de7c6f, 0xd5df8c96, 0x78dc6ae8, 0xd5d99dc0,
+    0x78da5917, 0xd5d3af04,
+  0x78d846fb, 0xd5cdc062, 0x78d63495, 0xd5c7d1db, 0x78d421e4, 0xd5c1e36d,
+    0x78d20ee9, 0xd5bbf519,
+  0x78cffba3, 0xd5b606e0, 0x78cde812, 0xd5b018c0, 0x78cbd437, 0xd5aa2abb,
+    0x78c9c012, 0xd5a43cd0,
+  0x78c7aba2, 0xd59e4eff, 0x78c596e7, 0xd5986148, 0x78c381e2, 0xd59273ab,
+    0x78c16c93, 0xd58c8628,
+  0x78bf56f9, 0xd58698c0, 0x78bd4114, 0xd580ab72, 0x78bb2ae5, 0xd57abe3d,
+    0x78b9146c, 0xd574d124,
+  0x78b6fda8, 0xd56ee424, 0x78b4e69a, 0xd568f73f, 0x78b2cf41, 0xd5630a74,
+    0x78b0b79e, 0xd55d1dc3,
+  0x78ae9fb0, 0xd557312d, 0x78ac8778, 0xd55144b0, 0x78aa6ef5, 0xd54b584f,
+    0x78a85628, 0xd5456c07,
+  0x78a63d11, 0xd53f7fda, 0x78a423af, 0xd53993c7, 0x78a20a03, 0xd533a7cf,
+    0x789ff00c, 0xd52dbbf1,
+  0x789dd5cb, 0xd527d02e, 0x789bbb3f, 0xd521e484, 0x7899a06a, 0xd51bf8f6,
+    0x78978549, 0xd5160d82,
+  0x789569df, 0xd5102228, 0x78934e2a, 0xd50a36e9, 0x7891322a, 0xd5044bc4,
+    0x788f15e0, 0xd4fe60ba,
+  0x788cf94c, 0xd4f875ca, 0x788adc6e, 0xd4f28af5, 0x7888bf45, 0xd4eca03a,
+    0x7886a1d1, 0xd4e6b59a,
+  0x78848414, 0xd4e0cb15, 0x7882660c, 0xd4dae0aa, 0x788047ba, 0xd4d4f65a,
+    0x787e291d, 0xd4cf0c24,
+  0x787c0a36, 0xd4c92209, 0x7879eb05, 0xd4c33809, 0x7877cb89, 0xd4bd4e23,
+    0x7875abc3, 0xd4b76458,
+  0x78738bb3, 0xd4b17aa8, 0x78716b59, 0xd4ab9112, 0x786f4ab4, 0xd4a5a798,
+    0x786d29c5, 0xd49fbe37,
+  0x786b088c, 0xd499d4f2, 0x7868e708, 0xd493ebc8, 0x7866c53a, 0xd48e02b8,
+    0x7864a322, 0xd48819c3,
+  0x786280bf, 0xd48230e9, 0x78605e13, 0xd47c4829, 0x785e3b1c, 0xd4765f85,
+    0x785c17db, 0xd47076fb,
+  0x7859f44f, 0xd46a8e8d, 0x7857d079, 0xd464a639, 0x7855ac5a, 0xd45ebe00,
+    0x785387ef, 0xd458d5e2,
+  0x7851633b, 0xd452eddf, 0x784f3e3c, 0xd44d05f6, 0x784d18f4, 0xd4471e29,
+    0x784af361, 0xd4413677,
+  0x7848cd83, 0xd43b4ee0, 0x7846a75c, 0xd4356763, 0x784480ea, 0xd42f8002,
+    0x78425a2f, 0xd42998bc,
+  0x78403329, 0xd423b191, 0x783e0bd9, 0xd41dca81, 0x783be43e, 0xd417e38c,
+    0x7839bc5a, 0xd411fcb2,
+  0x7837942b, 0xd40c15f3, 0x78356bb2, 0xd4062f4f, 0x783342ef, 0xd40048c6,
+    0x783119e2, 0xd3fa6259,
+  0x782ef08b, 0xd3f47c06, 0x782cc6ea, 0xd3ee95cf, 0x782a9cfe, 0xd3e8afb3,
+    0x782872c8, 0xd3e2c9b2,
+  0x78264849, 0xd3dce3cd, 0x78241d7f, 0xd3d6fe03, 0x7821f26b, 0xd3d11853,
+    0x781fc70d, 0xd3cb32c0,
+  0x781d9b65, 0xd3c54d47, 0x781b6f72, 0xd3bf67ea, 0x78194336, 0xd3b982a8,
+    0x781716b0, 0xd3b39d81,
+  0x7814e9df, 0xd3adb876, 0x7812bcc4, 0xd3a7d385, 0x78108f60, 0xd3a1eeb1,
+    0x780e61b1, 0xd39c09f7,
+  0x780c33b8, 0xd396255a, 0x780a0575, 0xd39040d7, 0x7807d6e9, 0xd38a5c70,
+    0x7805a812, 0xd3847824,
+  0x780378f1, 0xd37e93f4, 0x78014986, 0xd378afdf, 0x77ff19d1, 0xd372cbe6,
+    0x77fce9d2, 0xd36ce808,
+  0x77fab989, 0xd3670446, 0x77f888f6, 0xd361209f, 0x77f65819, 0xd35b3d13,
+    0x77f426f2, 0xd35559a4,
+  0x77f1f581, 0xd34f764f, 0x77efc3c5, 0xd3499317, 0x77ed91c0, 0xd343affa,
+    0x77eb5f71, 0xd33dccf8,
+  0x77e92cd9, 0xd337ea12, 0x77e6f9f6, 0xd3320748, 0x77e4c6c9, 0xd32c2499,
+    0x77e29352, 0xd3264206,
+  0x77e05f91, 0xd3205f8f, 0x77de2b86, 0xd31a7d33, 0x77dbf732, 0xd3149af3,
+    0x77d9c293, 0xd30eb8cf,
+  0x77d78daa, 0xd308d6c7, 0x77d55878, 0xd302f4da, 0x77d322fc, 0xd2fd1309,
+    0x77d0ed35, 0xd2f73154,
+  0x77ceb725, 0xd2f14fba, 0x77cc80cb, 0xd2eb6e3c, 0x77ca4a27, 0xd2e58cdb,
+    0x77c81339, 0xd2dfab95,
+  0x77c5dc01, 0xd2d9ca6a, 0x77c3a47f, 0xd2d3e95c, 0x77c16cb4, 0xd2ce0869,
+    0x77bf349f, 0xd2c82793,
+  0x77bcfc3f, 0xd2c246d8, 0x77bac396, 0xd2bc6639, 0x77b88aa3, 0xd2b685b6,
+    0x77b65166, 0xd2b0a54f,
+  0x77b417df, 0xd2aac504, 0x77b1de0f, 0xd2a4e4d5, 0x77afa3f5, 0xd29f04c2,
+    0x77ad6990, 0xd29924cb,
+  0x77ab2ee2, 0xd29344f0, 0x77a8f3ea, 0xd28d6531, 0x77a6b8a9, 0xd287858e,
+    0x77a47d1d, 0xd281a607,
+  0x77a24148, 0xd27bc69c, 0x77a00529, 0xd275e74d, 0x779dc8c0, 0xd270081b,
+    0x779b8c0e, 0xd26a2904,
+  0x77994f11, 0xd2644a0a, 0x779711cb, 0xd25e6b2b, 0x7794d43b, 0xd2588c69,
+    0x77929661, 0xd252adc3,
+  0x7790583e, 0xd24ccf39, 0x778e19d0, 0xd246f0cb, 0x778bdb19, 0xd241127a,
+    0x77899c19, 0xd23b3444,
+  0x77875cce, 0xd235562b, 0x77851d3a, 0xd22f782f, 0x7782dd5c, 0xd2299a4e,
+    0x77809d35, 0xd223bc8a,
+  0x777e5cc3, 0xd21ddee2, 0x777c1c08, 0xd2180156, 0x7779db03, 0xd21223e7,
+    0x777799b5, 0xd20c4694,
+  0x7775581d, 0xd206695d, 0x7773163b, 0xd2008c43, 0x7770d40f, 0xd1faaf45,
+    0x776e919a, 0xd1f4d263,
+  0x776c4edb, 0xd1eef59e, 0x776a0bd3, 0xd1e918f5, 0x7767c880, 0xd1e33c69,
+    0x776584e5, 0xd1dd5ff9,
+  0x776340ff, 0xd1d783a6, 0x7760fcd0, 0xd1d1a76f, 0x775eb857, 0xd1cbcb54,
+    0x775c7395, 0xd1c5ef56,
+  0x775a2e89, 0xd1c01375, 0x7757e933, 0xd1ba37b0, 0x7755a394, 0xd1b45c08,
+    0x77535dab, 0xd1ae807c,
+  0x77511778, 0xd1a8a50d, 0x774ed0fc, 0xd1a2c9ba, 0x774c8a36, 0xd19cee84,
+    0x774a4327, 0xd197136b,
+  0x7747fbce, 0xd191386e, 0x7745b42c, 0xd18b5d8e, 0x77436c40, 0xd18582ca,
+    0x7741240a, 0xd17fa823,
+  0x773edb8b, 0xd179cd99, 0x773c92c2, 0xd173f32c, 0x773a49b0, 0xd16e18db,
+    0x77380054, 0xd1683ea7,
+  0x7735b6af, 0xd1626490, 0x77336cc0, 0xd15c8a95, 0x77312287, 0xd156b0b7,
+    0x772ed805, 0xd150d6f6,
+  0x772c8d3a, 0xd14afd52, 0x772a4225, 0xd14523cb, 0x7727f6c6, 0xd13f4a60,
+    0x7725ab1f, 0xd1397113,
+  0x77235f2d, 0xd13397e2, 0x772112f2, 0xd12dbece, 0x771ec66e, 0xd127e5d7,
+    0x771c79a0, 0xd1220cfc,
+  0x771a2c88, 0xd11c343f, 0x7717df27, 0xd1165b9f, 0x7715917d, 0xd110831b,
+    0x77134389, 0xd10aaab5,
+  0x7710f54c, 0xd104d26b, 0x770ea6c5, 0xd0fefa3f, 0x770c57f5, 0xd0f9222f,
+    0x770a08dc, 0xd0f34a3d,
+  0x7707b979, 0xd0ed7267, 0x770569cc, 0xd0e79aaf, 0x770319d6, 0xd0e1c313,
+    0x7700c997, 0xd0dbeb95,
+  0x76fe790e, 0xd0d61434, 0x76fc283c, 0xd0d03cf0, 0x76f9d721, 0xd0ca65c9,
+    0x76f785bc, 0xd0c48ebf,
+  0x76f5340e, 0xd0beb7d2, 0x76f2e216, 0xd0b8e102, 0x76f08fd5, 0xd0b30a50,
+    0x76ee3d4b, 0xd0ad33ba,
+  0x76ebea77, 0xd0a75d42, 0x76e9975a, 0xd0a186e7, 0x76e743f4, 0xd09bb0aa,
+    0x76e4f044, 0xd095da89,
+  0x76e29c4b, 0xd0900486, 0x76e04808, 0xd08a2ea0, 0x76ddf37c, 0xd08458d7,
+    0x76db9ea7, 0xd07e832c,
+  0x76d94989, 0xd078ad9e, 0x76d6f421, 0xd072d82d, 0x76d49e70, 0xd06d02da,
+    0x76d24876, 0xd0672da3,
+  0x76cff232, 0xd061588b, 0x76cd9ba5, 0xd05b838f, 0x76cb44cf, 0xd055aeb1,
+    0x76c8edb0, 0xd04fd9f1,
+  0x76c69647, 0xd04a054e, 0x76c43e95, 0xd04430c8, 0x76c1e699, 0xd03e5c60,
+    0x76bf8e55, 0xd0388815,
+  0x76bd35c7, 0xd032b3e7, 0x76badcf0, 0xd02cdfd8, 0x76b883d0, 0xd0270be5,
+    0x76b62a66, 0xd0213810,
+  0x76b3d0b4, 0xd01b6459, 0x76b176b8, 0xd01590bf, 0x76af1c72, 0xd00fbd43,
+    0x76acc1e4, 0xd009e9e4,
+  0x76aa670d, 0xd00416a3, 0x76a80bec, 0xcffe4380, 0x76a5b082, 0xcff8707a,
+    0x76a354cf, 0xcff29d92,
+  0x76a0f8d2, 0xcfeccac7, 0x769e9c8d, 0xcfe6f81a, 0x769c3ffe, 0xcfe1258b,
+    0x7699e326, 0xcfdb531a,
+  0x76978605, 0xcfd580c6, 0x7695289b, 0xcfcfae8f, 0x7692cae8, 0xcfc9dc77,
+    0x76906ceb, 0xcfc40a7c,
+  0x768e0ea6, 0xcfbe389f, 0x768bb017, 0xcfb866e0, 0x7689513f, 0xcfb2953f,
+    0x7686f21e, 0xcfacc3bb,
+  0x768492b4, 0xcfa6f255, 0x76823301, 0xcfa1210d, 0x767fd304, 0xcf9b4fe3,
+    0x767d72bf, 0xcf957ed7,
+  0x767b1231, 0xcf8fade9, 0x7678b159, 0xcf89dd18, 0x76765038, 0xcf840c65,
+    0x7673eecf, 0xcf7e3bd1,
+  0x76718d1c, 0xcf786b5a, 0x766f2b20, 0xcf729b01, 0x766cc8db, 0xcf6ccac6,
+    0x766a664d, 0xcf66faa9,
+  0x76680376, 0xcf612aaa, 0x7665a056, 0xcf5b5ac9, 0x76633ced, 0xcf558b06,
+    0x7660d93b, 0xcf4fbb61,
+  0x765e7540, 0xcf49ebda, 0x765c10fc, 0xcf441c71, 0x7659ac6f, 0xcf3e4d26,
+    0x76574798, 0xcf387dfa,
+  0x7654e279, 0xcf32aeeb, 0x76527d11, 0xcf2cdffa, 0x76501760, 0xcf271128,
+    0x764db166, 0xcf214274,
+  0x764b4b23, 0xcf1b73de, 0x7648e497, 0xcf15a566, 0x76467dc2, 0xcf0fd70c,
+    0x764416a4, 0xcf0a08d0,
+  0x7641af3d, 0xcf043ab3, 0x763f478d, 0xcefe6cb3, 0x763cdf94, 0xcef89ed2,
+    0x763a7752, 0xcef2d110,
+  0x76380ec8, 0xceed036b, 0x7635a5f4, 0xcee735e5, 0x76333cd8, 0xcee1687d,
+    0x7630d372, 0xcedb9b33,
+  0x762e69c4, 0xced5ce08, 0x762bffcd, 0xced000fb, 0x7629958c, 0xceca340c,
+    0x76272b03, 0xcec4673c,
+  0x7624c031, 0xcebe9a8a, 0x76225517, 0xceb8cdf7, 0x761fe9b3, 0xceb30181,
+    0x761d7e06, 0xcead352b,
+  0x761b1211, 0xcea768f2, 0x7618a5d3, 0xcea19cd8, 0x7616394c, 0xce9bd0dd,
+    0x7613cc7c, 0xce960500,
+  0x76115f63, 0xce903942, 0x760ef201, 0xce8a6da2, 0x760c8457, 0xce84a220,
+    0x760a1664, 0xce7ed6bd,
+  0x7607a828, 0xce790b79, 0x760539a3, 0xce734053, 0x7602cad5, 0xce6d754c,
+    0x76005bbf, 0xce67aa63,
+  0x75fdec60, 0xce61df99, 0x75fb7cb8, 0xce5c14ed, 0x75f90cc7, 0xce564a60,
+    0x75f69c8d, 0xce507ff2,
+  0x75f42c0b, 0xce4ab5a2, 0x75f1bb40, 0xce44eb71, 0x75ef4a2c, 0xce3f215f,
+    0x75ecd8cf, 0xce39576c,
+  0x75ea672a, 0xce338d97, 0x75e7f53c, 0xce2dc3e1, 0x75e58305, 0xce27fa49,
+    0x75e31086, 0xce2230d0,
+  0x75e09dbd, 0xce1c6777, 0x75de2aac, 0xce169e3b, 0x75dbb753, 0xce10d51f,
+    0x75d943b0, 0xce0b0c21,
+  0x75d6cfc5, 0xce054343, 0x75d45b92, 0xcdff7a83, 0x75d1e715, 0xcdf9b1e2,
+    0x75cf7250, 0xcdf3e95f,
+  0x75ccfd42, 0xcdee20fc, 0x75ca87ec, 0xcde858b8, 0x75c8124d, 0xcde29092,
+    0x75c59c65, 0xcddcc88b,
+  0x75c32634, 0xcdd700a4, 0x75c0afbb, 0xcdd138db, 0x75be38fa, 0xcdcb7131,
+    0x75bbc1ef, 0xcdc5a9a6,
+  0x75b94a9c, 0xcdbfe23a, 0x75b6d301, 0xcdba1aee, 0x75b45b1d, 0xcdb453c0,
+    0x75b1e2f0, 0xcdae8cb1,
+  0x75af6a7b, 0xcda8c5c1, 0x75acf1bd, 0xcda2fef0, 0x75aa78b6, 0xcd9d383f,
+    0x75a7ff67, 0xcd9771ac,
+  0x75a585cf, 0xcd91ab39, 0x75a30bef, 0xcd8be4e4, 0x75a091c6, 0xcd861eaf,
+    0x759e1755, 0xcd805899,
+  0x759b9c9b, 0xcd7a92a2, 0x75992198, 0xcd74ccca, 0x7596a64d, 0xcd6f0711,
+    0x75942ab9, 0xcd694178,
+  0x7591aedd, 0xcd637bfe, 0x758f32b9, 0xcd5db6a3, 0x758cb64c, 0xcd57f167,
+    0x758a3996, 0xcd522c4a,
+  0x7587bc98, 0xcd4c674d, 0x75853f51, 0xcd46a26f, 0x7582c1c2, 0xcd40ddb0,
+    0x758043ea, 0xcd3b1911,
+  0x757dc5ca, 0xcd355491, 0x757b4762, 0xcd2f9030, 0x7578c8b0, 0xcd29cbee,
+    0x757649b7, 0xcd2407cc,
+  0x7573ca75, 0xcd1e43ca, 0x75714aea, 0xcd187fe6, 0x756ecb18, 0xcd12bc22,
+    0x756c4afc, 0xcd0cf87e,
+  0x7569ca99, 0xcd0734f9, 0x756749ec, 0xcd017193, 0x7564c8f8, 0xccfbae4d,
+    0x756247bb, 0xccf5eb26,
+  0x755fc635, 0xccf0281f, 0x755d4467, 0xccea6538, 0x755ac251, 0xcce4a26f,
+    0x75583ff3, 0xccdedfc7,
+  0x7555bd4c, 0xccd91d3d, 0x75533a5c, 0xccd35ad4, 0x7550b725, 0xcccd988a,
+    0x754e33a4, 0xccc7d65f,
+  0x754bafdc, 0xccc21455, 0x75492bcb, 0xccbc5269, 0x7546a772, 0xccb6909e,
+    0x754422d0, 0xccb0cef2,
+  0x75419de7, 0xccab0d65, 0x753f18b4, 0xcca54bf9, 0x753c933a, 0xcc9f8aac,
+    0x753a0d77, 0xcc99c97e,
+  0x7537876c, 0xcc940871, 0x75350118, 0xcc8e4783, 0x75327a7d, 0xcc8886b5,
+    0x752ff399, 0xcc82c607,
+  0x752d6c6c, 0xcc7d0578, 0x752ae4f8, 0xcc774509, 0x75285d3b, 0xcc7184ba,
+    0x7525d536, 0xcc6bc48b,
+  0x75234ce8, 0xcc66047b, 0x7520c453, 0xcc60448c, 0x751e3b75, 0xcc5a84bc,
+    0x751bb24f, 0xcc54c50c,
+  0x751928e0, 0xcc4f057c, 0x75169f2a, 0xcc49460c, 0x7514152b, 0xcc4386bc,
+    0x75118ae4, 0xcc3dc78b,
+  0x750f0054, 0xcc38087b, 0x750c757d, 0xcc32498a, 0x7509ea5d, 0xcc2c8aba,
+    0x75075ef5, 0xcc26cc09,
+  0x7504d345, 0xcc210d79, 0x7502474d, 0xcc1b4f08, 0x74ffbb0d, 0xcc1590b8,
+    0x74fd2e84, 0xcc0fd287,
+  0x74faa1b3, 0xcc0a1477, 0x74f8149a, 0xcc045686, 0x74f58739, 0xcbfe98b6,
+    0x74f2f990, 0xcbf8db05,
+  0x74f06b9e, 0xcbf31d75, 0x74eddd65, 0xcbed6005, 0x74eb4ee3, 0xcbe7a2b5,
+    0x74e8c01a, 0xcbe1e585,
+  0x74e63108, 0xcbdc2876, 0x74e3a1ae, 0xcbd66b86, 0x74e1120c, 0xcbd0aeb7,
+    0x74de8221, 0xcbcaf208,
+  0x74dbf1ef, 0xcbc53579, 0x74d96175, 0xcbbf790a, 0x74d6d0b2, 0xcbb9bcbb,
+    0x74d43fa8, 0xcbb4008d,
+  0x74d1ae55, 0xcbae447f, 0x74cf1cbb, 0xcba88891, 0x74cc8ad8, 0xcba2ccc4,
+    0x74c9f8ad, 0xcb9d1117,
+  0x74c7663a, 0xcb97558a, 0x74c4d380, 0xcb919a1d, 0x74c2407d, 0xcb8bded1,
+    0x74bfad32, 0xcb8623a5,
+  0x74bd199f, 0xcb80689a, 0x74ba85c4, 0xcb7aadaf, 0x74b7f1a1, 0xcb74f2e4,
+    0x74b55d36, 0xcb6f383a,
+  0x74b2c884, 0xcb697db0, 0x74b03389, 0xcb63c347, 0x74ad9e46, 0xcb5e08fe,
+    0x74ab08bb, 0xcb584ed6,
+  0x74a872e8, 0xcb5294ce, 0x74a5dccd, 0xcb4cdae6, 0x74a3466b, 0xcb47211f,
+    0x74a0afc0, 0xcb416779,
+  0x749e18cd, 0xcb3badf3, 0x749b8193, 0xcb35f48d, 0x7498ea11, 0xcb303b49,
+    0x74965246, 0xcb2a8224,
+  0x7493ba34, 0xcb24c921, 0x749121da, 0xcb1f103e, 0x748e8938, 0xcb19577b,
+    0x748bf04d, 0xcb139ed9,
+  0x7489571c, 0xcb0de658, 0x7486bda2, 0xcb082df8, 0x748423e0, 0xcb0275b8,
+    0x748189d7, 0xcafcbd99,
+  0x747eef85, 0xcaf7059a, 0x747c54ec, 0xcaf14dbd, 0x7479ba0b, 0xcaeb9600,
+    0x74771ee2, 0xcae5de64,
+  0x74748371, 0xcae026e8, 0x7471e7b8, 0xcada6f8d, 0x746f4bb8, 0xcad4b853,
+    0x746caf70, 0xcacf013a,
+  0x746a12df, 0xcac94a42, 0x74677608, 0xcac3936b, 0x7464d8e8, 0xcabddcb4,
+    0x74623b80, 0xcab8261e,
+  0x745f9dd1, 0xcab26fa9, 0x745cffda, 0xcaacb955, 0x745a619b, 0xcaa70322,
+    0x7457c314, 0xcaa14d10,
+  0x74552446, 0xca9b971e, 0x74528530, 0xca95e14e, 0x744fe5d2, 0xca902b9f,
+    0x744d462c, 0xca8a7610,
+  0x744aa63f, 0xca84c0a3, 0x7448060a, 0xca7f0b56, 0x7445658d, 0xca79562b,
+    0x7442c4c8, 0xca73a120,
+  0x744023bc, 0xca6dec37, 0x743d8268, 0xca68376e, 0x743ae0cc, 0xca6282c7,
+    0x74383ee9, 0xca5cce40,
+  0x74359cbd, 0xca5719db, 0x7432fa4b, 0xca516597, 0x74305790, 0xca4bb174,
+    0x742db48e, 0xca45fd72,
+  0x742b1144, 0xca404992, 0x74286db3, 0xca3a95d2, 0x7425c9da, 0xca34e234,
+    0x742325b9, 0xca2f2eb6,
+  0x74208150, 0xca297b5a, 0x741ddca0, 0xca23c820, 0x741b37a9, 0xca1e1506,
+    0x74189269, 0xca18620e,
+  0x7415ece2, 0xca12af37, 0x74134714, 0xca0cfc81, 0x7410a0fe, 0xca0749ec,
+    0x740dfaa0, 0xca019779,
+  0x740b53fb, 0xc9fbe527, 0x7408ad0e, 0xc9f632f6, 0x740605d9, 0xc9f080e7,
+    0x74035e5d, 0xc9eacef9,
+  0x7400b69a, 0xc9e51d2d, 0x73fe0e8f, 0xc9df6b81, 0x73fb663c, 0xc9d9b9f7,
+    0x73f8bda2, 0xc9d4088f,
+  0x73f614c0, 0xc9ce5748, 0x73f36b97, 0xc9c8a622, 0x73f0c226, 0xc9c2f51e,
+    0x73ee186e, 0xc9bd443c,
+  0x73eb6e6e, 0xc9b7937a, 0x73e8c426, 0xc9b1e2db, 0x73e61997, 0xc9ac325d,
+    0x73e36ec1, 0xc9a68200,
+  0x73e0c3a3, 0xc9a0d1c5, 0x73de183e, 0xc99b21ab, 0x73db6c91, 0xc99571b3,
+    0x73d8c09d, 0xc98fc1dc,
+  0x73d61461, 0xc98a1227, 0x73d367de, 0xc9846294, 0x73d0bb13, 0xc97eb322,
+    0x73ce0e01, 0xc97903d2,
+  0x73cb60a8, 0xc97354a4, 0x73c8b307, 0xc96da597, 0x73c6051f, 0xc967f6ac,
+    0x73c356ef, 0xc96247e2,
+  0x73c0a878, 0xc95c993a, 0x73bdf9b9, 0xc956eab4, 0x73bb4ab3, 0xc9513c50,
+    0x73b89b66, 0xc94b8e0d,
+  0x73b5ebd1, 0xc945dfec, 0x73b33bf5, 0xc94031ed, 0x73b08bd1, 0xc93a8410,
+    0x73addb67, 0xc934d654,
+  0x73ab2ab4, 0xc92f28ba, 0x73a879bb, 0xc9297b42, 0x73a5c87a, 0xc923cdec,
+    0x73a316f2, 0xc91e20b8,
+  0x73a06522, 0xc91873a5, 0x739db30b, 0xc912c6b5, 0x739b00ad, 0xc90d19e6,
+    0x73984e07, 0xc9076d39,
+  0x73959b1b, 0xc901c0ae, 0x7392e7e6, 0xc8fc1445, 0x7390346b, 0xc8f667fe,
+    0x738d80a8, 0xc8f0bbd9,
+  0x738acc9e, 0xc8eb0fd6, 0x7388184d, 0xc8e563f5, 0x738563b5, 0xc8dfb836,
+    0x7382aed5, 0xc8da0c99,
+  0x737ff9ae, 0xc8d4611d, 0x737d4440, 0xc8ceb5c4, 0x737a8e8a, 0xc8c90a8d,
+    0x7377d88d, 0xc8c35f78,
+  0x73752249, 0xc8bdb485, 0x73726bbe, 0xc8b809b4, 0x736fb4ec, 0xc8b25f06,
+    0x736cfdd2, 0xc8acb479,
+  0x736a4671, 0xc8a70a0e, 0x73678ec9, 0xc8a15fc6, 0x7364d6da, 0xc89bb5a0,
+    0x73621ea4, 0xc8960b9c,
+  0x735f6626, 0xc89061ba, 0x735cad61, 0xc88ab7fa, 0x7359f456, 0xc8850e5d,
+    0x73573b03, 0xc87f64e2,
+  0x73548168, 0xc879bb89, 0x7351c787, 0xc8741252, 0x734f0d5f, 0xc86e693d,
+    0x734c52ef, 0xc868c04b,
+  0x73499838, 0xc863177b, 0x7346dd3a, 0xc85d6ece, 0x734421f6, 0xc857c642,
+    0x7341666a, 0xc8521dd9,
+  0x733eaa96, 0xc84c7593, 0x733bee7c, 0xc846cd6e, 0x7339321b, 0xc841256d,
+    0x73367572, 0xc83b7d8d,
+  0x7333b883, 0xc835d5d0, 0x7330fb4d, 0xc8302e35, 0x732e3dcf, 0xc82a86bd,
+    0x732b800a, 0xc824df67,
+  0x7328c1ff, 0xc81f3834, 0x732603ac, 0xc8199123, 0x73234512, 0xc813ea35,
+    0x73208632, 0xc80e4369,
+  0x731dc70a, 0xc8089cbf, 0x731b079b, 0xc802f638, 0x731847e5, 0xc7fd4fd4,
+    0x731587e8, 0xc7f7a992,
+  0x7312c7a5, 0xc7f20373, 0x7310071a, 0xc7ec5d76, 0x730d4648, 0xc7e6b79c,
+    0x730a8530, 0xc7e111e5,
+  0x7307c3d0, 0xc7db6c50, 0x73050229, 0xc7d5c6de, 0x7302403c, 0xc7d0218e,
+    0x72ff7e07, 0xc7ca7c61,
+  0x72fcbb8c, 0xc7c4d757, 0x72f9f8c9, 0xc7bf3270, 0x72f735c0, 0xc7b98dab,
+    0x72f47270, 0xc7b3e909,
+  0x72f1aed9, 0xc7ae4489, 0x72eeeafb, 0xc7a8a02c, 0x72ec26d6, 0xc7a2fbf3,
+    0x72e9626a, 0xc79d57db,
+  0x72e69db7, 0xc797b3e7, 0x72e3d8be, 0xc7921015, 0x72e1137d, 0xc78c6c67,
+    0x72de4df6, 0xc786c8db,
+  0x72db8828, 0xc7812572, 0x72d8c213, 0xc77b822b, 0x72d5fbb7, 0xc775df08,
+    0x72d33514, 0xc7703c08,
+  0x72d06e2b, 0xc76a992a, 0x72cda6fb, 0xc764f66f, 0x72cadf83, 0xc75f53d7,
+    0x72c817c6, 0xc759b163,
+  0x72c54fc1, 0xc7540f11, 0x72c28775, 0xc74e6ce2, 0x72bfbee3, 0xc748cad6,
+    0x72bcf60a, 0xc74328ed,
+  0x72ba2cea, 0xc73d8727, 0x72b76383, 0xc737e584, 0x72b499d6, 0xc7324404,
+    0x72b1cfe1, 0xc72ca2a7,
+  0x72af05a7, 0xc727016d, 0x72ac3b25, 0xc7216056, 0x72a9705c, 0xc71bbf62,
+    0x72a6a54d, 0xc7161e92,
+  0x72a3d9f7, 0xc7107de4, 0x72a10e5b, 0xc70add5a, 0x729e4277, 0xc7053cf2,
+    0x729b764d, 0xc6ff9cae,
+  0x7298a9dd, 0xc6f9fc8d, 0x7295dd25, 0xc6f45c8f, 0x72931027, 0xc6eebcb5,
+    0x729042e3, 0xc6e91cfd,
+  0x728d7557, 0xc6e37d69, 0x728aa785, 0xc6ddddf8, 0x7287d96c, 0xc6d83eab,
+    0x72850b0d, 0xc6d29f80,
+  0x72823c67, 0xc6cd0079, 0x727f6d7a, 0xc6c76195, 0x727c9e47, 0xc6c1c2d4,
+    0x7279cecd, 0xc6bc2437,
+  0x7276ff0d, 0xc6b685bd, 0x72742f05, 0xc6b0e767, 0x72715eb8, 0xc6ab4933,
+    0x726e8e23, 0xc6a5ab23,
+  0x726bbd48, 0xc6a00d37, 0x7268ec27, 0xc69a6f6e, 0x72661abf, 0xc694d1c8,
+    0x72634910, 0xc68f3446,
+  0x7260771b, 0xc68996e7, 0x725da4df, 0xc683f9ab, 0x725ad25d, 0xc67e5c93,
+    0x7257ff94, 0xc678bf9f,
+  0x72552c85, 0xc67322ce, 0x7252592f, 0xc66d8620, 0x724f8593, 0xc667e996,
+    0x724cb1b0, 0xc6624d30,
+  0x7249dd86, 0xc65cb0ed, 0x72470916, 0xc65714cd, 0x72443460, 0xc65178d1,
+    0x72415f63, 0xc64bdcf9,
+  0x723e8a20, 0xc6464144, 0x723bb496, 0xc640a5b3, 0x7238dec5, 0xc63b0a46,
+    0x723608af, 0xc6356efc,
+  0x72333251, 0xc62fd3d6, 0x72305bae, 0xc62a38d4, 0x722d84c4, 0xc6249df5,
+    0x722aad93, 0xc61f033a,
+  0x7227d61c, 0xc61968a2, 0x7224fe5f, 0xc613ce2f, 0x7222265b, 0xc60e33df,
+    0x721f4e11, 0xc60899b2,
+  0x721c7580, 0xc602ffaa, 0x72199ca9, 0xc5fd65c5, 0x7216c38c, 0xc5f7cc04,
+    0x7213ea28, 0xc5f23267,
+  0x7211107e, 0xc5ec98ee, 0x720e368d, 0xc5e6ff98, 0x720b5c57, 0xc5e16667,
+    0x720881d9, 0xc5dbcd59,
+  0x7205a716, 0xc5d6346f, 0x7202cc0c, 0xc5d09ba9, 0x71fff0bc, 0xc5cb0307,
+    0x71fd1525, 0xc5c56a89,
+  0x71fa3949, 0xc5bfd22e, 0x71f75d25, 0xc5ba39f8, 0x71f480bc, 0xc5b4a1e5,
+    0x71f1a40c, 0xc5af09f7,
+  0x71eec716, 0xc5a9722c, 0x71ebe9da, 0xc5a3da86, 0x71e90c57, 0xc59e4303,
+    0x71e62e8f, 0xc598aba5,
+  0x71e35080, 0xc593146a, 0x71e0722a, 0xc58d7d54, 0x71dd938f, 0xc587e661,
+    0x71dab4ad, 0xc5824f93,
+  0x71d7d585, 0xc57cb8e9, 0x71d4f617, 0xc5772263, 0x71d21662, 0xc5718c00,
+    0x71cf3667, 0xc56bf5c2,
+  0x71cc5626, 0xc5665fa9, 0x71c9759f, 0xc560c9b3, 0x71c694d2, 0xc55b33e2,
+    0x71c3b3bf, 0xc5559e34,
+  0x71c0d265, 0xc55008ab, 0x71bdf0c5, 0xc54a7346, 0x71bb0edf, 0xc544de05,
+    0x71b82cb3, 0xc53f48e9,
+  0x71b54a41, 0xc539b3f1, 0x71b26788, 0xc5341f1d, 0x71af848a, 0xc52e8a6d,
+    0x71aca145, 0xc528f5e1,
+  0x71a9bdba, 0xc523617a, 0x71a6d9e9, 0xc51dcd37, 0x71a3f5d2, 0xc5183919,
+    0x71a11175, 0xc512a51f,
+  0x719e2cd2, 0xc50d1149, 0x719b47e9, 0xc5077d97, 0x719862b9, 0xc501ea0a,
+    0x71957d44, 0xc4fc56a2,
+  0x71929789, 0xc4f6c35d, 0x718fb187, 0xc4f1303d, 0x718ccb3f, 0xc4eb9d42,
+    0x7189e4b2, 0xc4e60a6b,
+  0x7186fdde, 0xc4e077b8, 0x718416c4, 0xc4dae52a, 0x71812f65, 0xc4d552c1,
+    0x717e47bf, 0xc4cfc07c,
+  0x717b5fd3, 0xc4ca2e5b, 0x717877a1, 0xc4c49c5f, 0x71758f29, 0xc4bf0a87,
+    0x7172a66c, 0xc4b978d4,
+  0x716fbd68, 0xc4b3e746, 0x716cd41e, 0xc4ae55dc, 0x7169ea8f, 0xc4a8c497,
+    0x716700b9, 0xc4a33376,
+  0x7164169d, 0xc49da27a, 0x71612c3c, 0xc49811a3, 0x715e4194, 0xc49280f0,
+    0x715b56a7, 0xc48cf062,
+  0x71586b74, 0xc4875ff9, 0x71557ffa, 0xc481cfb4, 0x7152943b, 0xc47c3f94,
+    0x714fa836, 0xc476af98,
+  0x714cbbeb, 0xc4711fc2, 0x7149cf5a, 0xc46b9010, 0x7146e284, 0xc4660083,
+    0x7143f567, 0xc460711b,
+  0x71410805, 0xc45ae1d7, 0x713e1a5c, 0xc45552b8, 0x713b2c6e, 0xc44fc3be,
+    0x71383e3a, 0xc44a34e9,
+  0x71354fc0, 0xc444a639, 0x71326101, 0xc43f17ad, 0x712f71fb, 0xc4398947,
+    0x712c82b0, 0xc433fb05,
+  0x7129931f, 0xc42e6ce8, 0x7126a348, 0xc428def0, 0x7123b32b, 0xc423511d,
+    0x7120c2c8, 0xc41dc36f,
+  0x711dd220, 0xc41835e6, 0x711ae132, 0xc412a882, 0x7117effe, 0xc40d1b42,
+    0x7114fe84, 0xc4078e28,
+  0x71120cc5, 0xc4020133, 0x710f1ac0, 0xc3fc7462, 0x710c2875, 0xc3f6e7b7,
+    0x710935e4, 0xc3f15b31,
+  0x7106430e, 0xc3ebced0, 0x71034ff2, 0xc3e64294, 0x71005c90, 0xc3e0b67d,
+    0x70fd68e9, 0xc3db2a8b,
+  0x70fa74fc, 0xc3d59ebe, 0x70f780c9, 0xc3d01316, 0x70f48c50, 0xc3ca8793,
+    0x70f19792, 0xc3c4fc36,
+  0x70eea28e, 0xc3bf70fd, 0x70ebad45, 0xc3b9e5ea, 0x70e8b7b5, 0xc3b45afc,
+    0x70e5c1e1, 0xc3aed034,
+  0x70e2cbc6, 0xc3a94590, 0x70dfd566, 0xc3a3bb12, 0x70dcdec0, 0xc39e30b8,
+    0x70d9e7d5, 0xc398a685,
+  0x70d6f0a4, 0xc3931c76, 0x70d3f92d, 0xc38d928d, 0x70d10171, 0xc38808c9,
+    0x70ce096f, 0xc3827f2a,
+  0x70cb1128, 0xc37cf5b0, 0x70c8189b, 0xc3776c5c, 0x70c51fc8, 0xc371e32d,
+    0x70c226b0, 0xc36c5a24,
+  0x70bf2d53, 0xc366d140, 0x70bc33b0, 0xc3614881, 0x70b939c7, 0xc35bbfe8,
+    0x70b63f99, 0xc3563774,
+  0x70b34525, 0xc350af26, 0x70b04a6b, 0xc34b26fc, 0x70ad4f6d, 0xc3459ef9,
+    0x70aa5428, 0xc340171b,
+  0x70a7589f, 0xc33a8f62, 0x70a45ccf, 0xc33507cf, 0x70a160ba, 0xc32f8061,
+    0x709e6460, 0xc329f919,
+  0x709b67c0, 0xc32471f7, 0x70986adb, 0xc31eeaf9, 0x70956db1, 0xc3196422,
+    0x70927041, 0xc313dd70,
+  0x708f728b, 0xc30e56e4, 0x708c7490, 0xc308d07d, 0x70897650, 0xc3034a3c,
+    0x708677ca, 0xc2fdc420,
+  0x708378ff, 0xc2f83e2a, 0x708079ee, 0xc2f2b85a, 0x707d7a98, 0xc2ed32af,
+    0x707a7afd, 0xc2e7ad2a,
+  0x70777b1c, 0xc2e227cb, 0x70747af6, 0xc2dca291, 0x70717a8a, 0xc2d71d7e,
+    0x706e79d9, 0xc2d1988f,
+  0x706b78e3, 0xc2cc13c7, 0x706877a7, 0xc2c68f24, 0x70657626, 0xc2c10aa7,
+    0x70627460, 0xc2bb8650,
+  0x705f7255, 0xc2b6021f, 0x705c7004, 0xc2b07e14, 0x70596d6d, 0xc2aafa2e,
+    0x70566a92, 0xc2a5766e,
+  0x70536771, 0xc29ff2d4, 0x7050640b, 0xc29a6f60, 0x704d6060, 0xc294ec12,
+    0x704a5c6f, 0xc28f68e9,
+  0x70475839, 0xc289e5e7, 0x704453be, 0xc284630a, 0x70414efd, 0xc27ee054,
+    0x703e49f8, 0xc2795dc3,
+  0x703b44ad, 0xc273db58, 0x70383f1d, 0xc26e5913, 0x70353947, 0xc268d6f5,
+    0x7032332d, 0xc26354fc,
+  0x702f2ccd, 0xc25dd329, 0x702c2628, 0xc258517c, 0x70291f3e, 0xc252cff5,
+    0x7026180e, 0xc24d4e95,
+  0x7023109a, 0xc247cd5a, 0x702008e0, 0xc2424c46, 0x701d00e1, 0xc23ccb57,
+    0x7019f89d, 0xc2374a8f,
+  0x7016f014, 0xc231c9ec, 0x7013e746, 0xc22c4970, 0x7010de32, 0xc226c91a,
+    0x700dd4da, 0xc22148ea,
+  0x700acb3c, 0xc21bc8e1, 0x7007c159, 0xc21648fd, 0x7004b731, 0xc210c940,
+    0x7001acc4, 0xc20b49a9,
+  0x6ffea212, 0xc205ca38, 0x6ffb971b, 0xc2004aed, 0x6ff88bde, 0xc1facbc9,
+    0x6ff5805d, 0xc1f54cca,
+  0x6ff27497, 0xc1efcdf3, 0x6fef688b, 0xc1ea4f41, 0x6fec5c3b, 0xc1e4d0b6,
+    0x6fe94fa5, 0xc1df5251,
+  0x6fe642ca, 0xc1d9d412, 0x6fe335ab, 0xc1d455f9, 0x6fe02846, 0xc1ced807,
+    0x6fdd1a9c, 0xc1c95a3c,
+  0x6fda0cae, 0xc1c3dc97, 0x6fd6fe7a, 0xc1be5f18, 0x6fd3f001, 0xc1b8e1bf,
+    0x6fd0e144, 0xc1b3648d,
+  0x6fcdd241, 0xc1ade781, 0x6fcac2fa, 0xc1a86a9c, 0x6fc7b36d, 0xc1a2edde,
+    0x6fc4a39c, 0xc19d7145,
+  0x6fc19385, 0xc197f4d4, 0x6fbe832a, 0xc1927888, 0x6fbb728a, 0xc18cfc63,
+    0x6fb861a4, 0xc1878065,
+  0x6fb5507a, 0xc182048d, 0x6fb23f0b, 0xc17c88dc, 0x6faf2d57, 0xc1770d52,
+    0x6fac1b5f, 0xc17191ee,
+  0x6fa90921, 0xc16c16b0, 0x6fa5f69e, 0xc1669b99, 0x6fa2e3d7, 0xc16120a9,
+    0x6f9fd0cb, 0xc15ba5df,
+  0x6f9cbd79, 0xc1562b3d, 0x6f99a9e3, 0xc150b0c0, 0x6f969608, 0xc14b366b,
+    0x6f9381e9, 0xc145bc3c,
+  0x6f906d84, 0xc1404233, 0x6f8d58db, 0xc13ac852, 0x6f8a43ed, 0xc1354e97,
+    0x6f872eba, 0xc12fd503,
+  0x6f841942, 0xc12a5b95, 0x6f810386, 0xc124e24f, 0x6f7ded84, 0xc11f692f,
+    0x6f7ad73e, 0xc119f036,
+  0x6f77c0b3, 0xc1147764, 0x6f74a9e4, 0xc10efeb8, 0x6f7192cf, 0xc1098634,
+    0x6f6e7b76, 0xc1040dd6,
+  0x6f6b63d8, 0xc0fe959f, 0x6f684bf6, 0xc0f91d8f, 0x6f6533ce, 0xc0f3a5a6,
+    0x6f621b62, 0xc0ee2de3,
+  0x6f5f02b2, 0xc0e8b648, 0x6f5be9bc, 0xc0e33ed4, 0x6f58d082, 0xc0ddc786,
+    0x6f55b703, 0xc0d8505f,
+  0x6f529d40, 0xc0d2d960, 0x6f4f8338, 0xc0cd6287, 0x6f4c68eb, 0xc0c7ebd6,
+    0x6f494e5a, 0xc0c2754b,
+  0x6f463383, 0xc0bcfee7, 0x6f431869, 0xc0b788ab, 0x6f3ffd09, 0xc0b21295,
+    0x6f3ce165, 0xc0ac9ca6,
+  0x6f39c57d, 0xc0a726df, 0x6f36a94f, 0xc0a1b13e, 0x6f338cde, 0xc09c3bc5,
+    0x6f307027, 0xc096c673,
+  0x6f2d532c, 0xc0915148, 0x6f2a35ed, 0xc08bdc44, 0x6f271868, 0xc0866767,
+    0x6f23faa0, 0xc080f2b1,
+  0x6f20dc92, 0xc07b7e23, 0x6f1dbe41, 0xc07609bb, 0x6f1a9faa, 0xc070957b,
+    0x6f1780cf, 0xc06b2162,
+  0x6f1461b0, 0xc065ad70, 0x6f11424c, 0xc06039a6, 0x6f0e22a3, 0xc05ac603,
+    0x6f0b02b6, 0xc0555287,
+  0x6f07e285, 0xc04fdf32, 0x6f04c20f, 0xc04a6c05, 0x6f01a155, 0xc044f8fe,
+    0x6efe8056, 0xc03f8620,
+  0x6efb5f12, 0xc03a1368, 0x6ef83d8a, 0xc034a0d8, 0x6ef51bbe, 0xc02f2e6f,
+    0x6ef1f9ad, 0xc029bc2e,
+  0x6eeed758, 0xc0244a14, 0x6eebb4bf, 0xc01ed821, 0x6ee891e1, 0xc0196656,
+    0x6ee56ebe, 0xc013f4b2,
+  0x6ee24b57, 0xc00e8336, 0x6edf27ac, 0xc00911e1, 0x6edc03bc, 0xc003a0b3,
+    0x6ed8df88, 0xbffe2fad,
+  0x6ed5bb10, 0xbff8bece, 0x6ed29653, 0xbff34e17, 0x6ecf7152, 0xbfeddd88,
+    0x6ecc4c0d, 0xbfe86d20,
+  0x6ec92683, 0xbfe2fcdf, 0x6ec600b5, 0xbfdd8cc6, 0x6ec2daa2, 0xbfd81cd5,
+    0x6ebfb44b, 0xbfd2ad0b,
+  0x6ebc8db0, 0xbfcd3d69, 0x6eb966d1, 0xbfc7cdee, 0x6eb63fad, 0xbfc25e9b,
+    0x6eb31845, 0xbfbcef70,
+  0x6eaff099, 0xbfb7806c, 0x6eacc8a8, 0xbfb21190, 0x6ea9a073, 0xbfaca2dc,
+    0x6ea677fa, 0xbfa7344f,
+  0x6ea34f3d, 0xbfa1c5ea, 0x6ea0263b, 0xbf9c57ac, 0x6e9cfcf5, 0xbf96e997,
+    0x6e99d36b, 0xbf917ba9,
+  0x6e96a99d, 0xbf8c0de3, 0x6e937f8a, 0xbf86a044, 0x6e905534, 0xbf8132ce,
+    0x6e8d2a99, 0xbf7bc57f,
+  0x6e89ffb9, 0xbf765858, 0x6e86d496, 0xbf70eb59, 0x6e83a92f, 0xbf6b7e81,
+    0x6e807d83, 0xbf6611d2,
+  0x6e7d5193, 0xbf60a54a, 0x6e7a255f, 0xbf5b38ea, 0x6e76f8e7, 0xbf55ccb2,
+    0x6e73cc2b, 0xbf5060a2,
+  0x6e709f2a, 0xbf4af4ba, 0x6e6d71e6, 0xbf4588fa, 0x6e6a445d, 0xbf401d61,
+    0x6e671690, 0xbf3ab1f1,
+  0x6e63e87f, 0xbf3546a8, 0x6e60ba2a, 0xbf2fdb88, 0x6e5d8b91, 0xbf2a708f,
+    0x6e5a5cb4, 0xbf2505bf,
+  0x6e572d93, 0xbf1f9b16, 0x6e53fe2e, 0xbf1a3096, 0x6e50ce84, 0xbf14c63d,
+    0x6e4d9e97, 0xbf0f5c0d,
+  0x6e4a6e66, 0xbf09f205, 0x6e473df0, 0xbf048824, 0x6e440d37, 0xbeff1e6c,
+    0x6e40dc39, 0xbef9b4dc,
+  0x6e3daaf8, 0xbef44b74, 0x6e3a7972, 0xbeeee234, 0x6e3747a9, 0xbee9791c,
+    0x6e34159b, 0xbee4102d,
+  0x6e30e34a, 0xbedea765, 0x6e2db0b4, 0xbed93ec6, 0x6e2a7ddb, 0xbed3d64f,
+    0x6e274abe, 0xbece6e00,
+  0x6e24175c, 0xbec905d9, 0x6e20e3b7, 0xbec39ddb, 0x6e1dafce, 0xbebe3605,
+    0x6e1a7ba1, 0xbeb8ce57,
+  0x6e174730, 0xbeb366d1, 0x6e14127b, 0xbeadff74, 0x6e10dd82, 0xbea8983f,
+    0x6e0da845, 0xbea33132,
+  0x6e0a72c5, 0xbe9dca4e, 0x6e073d00, 0xbe986391, 0x6e0406f8, 0xbe92fcfe,
+    0x6e00d0ac, 0xbe8d9692,
+  0x6dfd9a1c, 0xbe88304f, 0x6dfa6348, 0xbe82ca35, 0x6df72c30, 0xbe7d6442,
+    0x6df3f4d4, 0xbe77fe78,
+  0x6df0bd35, 0xbe7298d7, 0x6ded8552, 0xbe6d335e, 0x6dea4d2b, 0xbe67ce0d,
+    0x6de714c0, 0xbe6268e5,
+  0x6de3dc11, 0xbe5d03e6, 0x6de0a31f, 0xbe579f0f, 0x6ddd69e9, 0xbe523a60,
+    0x6dda306f, 0xbe4cd5da,
+  0x6dd6f6b1, 0xbe47717c, 0x6dd3bcaf, 0xbe420d47, 0x6dd0826a, 0xbe3ca93b,
+    0x6dcd47e1, 0xbe374557,
+  0x6dca0d14, 0xbe31e19b, 0x6dc6d204, 0xbe2c7e09, 0x6dc396b0, 0xbe271a9f,
+    0x6dc05b18, 0xbe21b75d,
+  0x6dbd1f3c, 0xbe1c5444, 0x6db9e31d, 0xbe16f154, 0x6db6a6ba, 0xbe118e8c,
+    0x6db36a14, 0xbe0c2bed,
+  0x6db02d29, 0xbe06c977, 0x6daceffb, 0xbe01672a, 0x6da9b28a, 0xbdfc0505,
+    0x6da674d5, 0xbdf6a309,
+  0x6da336dc, 0xbdf14135, 0x6d9ff89f, 0xbdebdf8b, 0x6d9cba1f, 0xbde67e09,
+    0x6d997b5b, 0xbde11cb0,
+  0x6d963c54, 0xbddbbb7f, 0x6d92fd09, 0xbdd65a78, 0x6d8fbd7a, 0xbdd0f999,
+    0x6d8c7da8, 0xbdcb98e3,
+  0x6d893d93, 0xbdc63856, 0x6d85fd39, 0xbdc0d7f2, 0x6d82bc9d, 0xbdbb77b7,
+    0x6d7f7bbc, 0xbdb617a4,
+  0x6d7c3a98, 0xbdb0b7bb, 0x6d78f931, 0xbdab57fa, 0x6d75b786, 0xbda5f862,
+    0x6d727597, 0xbda098f3,
+  0x6d6f3365, 0xbd9b39ad, 0x6d6bf0f0, 0xbd95da91, 0x6d68ae37, 0xbd907b9d,
+    0x6d656b3a, 0xbd8b1cd2,
+  0x6d6227fa, 0xbd85be30, 0x6d5ee477, 0xbd805fb7, 0x6d5ba0b0, 0xbd7b0167,
+    0x6d585ca6, 0xbd75a340,
+  0x6d551858, 0xbd704542, 0x6d51d3c6, 0xbd6ae76d, 0x6d4e8ef2, 0xbd6589c1,
+    0x6d4b49da, 0xbd602c3f,
+  0x6d48047e, 0xbd5acee5, 0x6d44bedf, 0xbd5571b5, 0x6d4178fd, 0xbd5014ad,
+    0x6d3e32d7, 0xbd4ab7cf,
+  0x6d3aec6e, 0xbd455b1a, 0x6d37a5c1, 0xbd3ffe8e, 0x6d345ed1, 0xbd3aa22c,
+    0x6d31179e, 0xbd3545f2,
+  0x6d2dd027, 0xbd2fe9e2, 0x6d2a886e, 0xbd2a8dfb, 0x6d274070, 0xbd25323d,
+    0x6d23f830, 0xbd1fd6a8,
+  0x6d20afac, 0xbd1a7b3d, 0x6d1d66e4, 0xbd151ffb, 0x6d1a1dda, 0xbd0fc4e2,
+    0x6d16d48c, 0xbd0a69f2,
+  0x6d138afb, 0xbd050f2c, 0x6d104126, 0xbcffb48f, 0x6d0cf70f, 0xbcfa5a1b,
+    0x6d09acb4, 0xbcf4ffd1,
+  0x6d066215, 0xbcefa5b0, 0x6d031734, 0xbcea4bb9, 0x6cffcc0f, 0xbce4f1eb,
+    0x6cfc80a7, 0xbcdf9846,
+  0x6cf934fc, 0xbcda3ecb, 0x6cf5e90d, 0xbcd4e579, 0x6cf29cdc, 0xbccf8c50,
+    0x6cef5067, 0xbcca3351,
+  0x6cec03af, 0xbcc4da7b, 0x6ce8b6b4, 0xbcbf81cf, 0x6ce56975, 0xbcba294d,
+    0x6ce21bf4, 0xbcb4d0f4,
+  0x6cdece2f, 0xbcaf78c4, 0x6cdb8027, 0xbcaa20be, 0x6cd831dc, 0xbca4c8e1,
+    0x6cd4e34e, 0xbc9f712e,
+  0x6cd1947c, 0xbc9a19a5, 0x6cce4568, 0xbc94c245, 0x6ccaf610, 0xbc8f6b0f,
+    0x6cc7a676, 0xbc8a1402,
+  0x6cc45698, 0xbc84bd1f, 0x6cc10677, 0xbc7f6665, 0x6cbdb613, 0xbc7a0fd6,
+    0x6cba656c, 0xbc74b96f,
+  0x6cb71482, 0xbc6f6333, 0x6cb3c355, 0xbc6a0d20, 0x6cb071e4, 0xbc64b737,
+    0x6cad2031, 0xbc5f6177,
+  0x6ca9ce3b, 0xbc5a0be2, 0x6ca67c01, 0xbc54b676, 0x6ca32985, 0xbc4f6134,
+    0x6c9fd6c6, 0xbc4a0c1b,
+  0x6c9c83c3, 0xbc44b72c, 0x6c99307e, 0xbc3f6267, 0x6c95dcf6, 0xbc3a0dcc,
+    0x6c92892a, 0xbc34b95b,
+  0x6c8f351c, 0xbc2f6513, 0x6c8be0cb, 0xbc2a10f6, 0x6c888c36, 0xbc24bd02,
+    0x6c85375f, 0xbc1f6938,
+  0x6c81e245, 0xbc1a1598, 0x6c7e8ce8, 0xbc14c221, 0x6c7b3748, 0xbc0f6ed5,
+    0x6c77e165, 0xbc0a1bb3,
+  0x6c748b3f, 0xbc04c8ba, 0x6c7134d7, 0xbbff75ec, 0x6c6dde2b, 0xbbfa2347,
+    0x6c6a873d, 0xbbf4d0cc,
+  0x6c67300b, 0xbbef7e7c, 0x6c63d897, 0xbbea2c55, 0x6c6080e0, 0xbbe4da58,
+    0x6c5d28e6, 0xbbdf8885,
+  0x6c59d0a9, 0xbbda36dd, 0x6c56782a, 0xbbd4e55e, 0x6c531f67, 0xbbcf940a,
+    0x6c4fc662, 0xbbca42df,
+  0x6c4c6d1a, 0xbbc4f1df, 0x6c49138f, 0xbbbfa108, 0x6c45b9c1, 0xbbba505c,
+    0x6c425fb1, 0xbbb4ffda,
+  0x6c3f055d, 0xbbafaf82, 0x6c3baac7, 0xbbaa5f54, 0x6c384fef, 0xbba50f50,
+    0x6c34f4d3, 0xbb9fbf77,
+  0x6c319975, 0xbb9a6fc7, 0x6c2e3dd4, 0xbb952042, 0x6c2ae1f0, 0xbb8fd0e7,
+    0x6c2785ca, 0xbb8a81b6,
+  0x6c242960, 0xbb8532b0, 0x6c20ccb4, 0xbb7fe3d3, 0x6c1d6fc6, 0xbb7a9521,
+    0x6c1a1295, 0xbb754699,
+  0x6c16b521, 0xbb6ff83c, 0x6c13576a, 0xbb6aaa09, 0x6c0ff971, 0xbb655c00,
+    0x6c0c9b35, 0xbb600e21,
+  0x6c093cb6, 0xbb5ac06d, 0x6c05ddf5, 0xbb5572e3, 0x6c027ef1, 0xbb502583,
+    0x6bff1faa, 0xbb4ad84e,
+  0x6bfbc021, 0xbb458b43, 0x6bf86055, 0xbb403e63, 0x6bf50047, 0xbb3af1ad,
+    0x6bf19ff6, 0xbb35a521,
+  0x6bee3f62, 0xbb3058c0, 0x6beade8c, 0xbb2b0c8a, 0x6be77d74, 0xbb25c07d,
+    0x6be41c18, 0xbb20749c,
+  0x6be0ba7b, 0xbb1b28e4, 0x6bdd589a, 0xbb15dd57, 0x6bd9f677, 0xbb1091f5,
+    0x6bd69412, 0xbb0b46bd,
+  0x6bd3316a, 0xbb05fbb0, 0x6bcfce80, 0xbb00b0ce, 0x6bcc6b53, 0xbafb6615,
+    0x6bc907e3, 0xbaf61b88,
+  0x6bc5a431, 0xbaf0d125, 0x6bc2403d, 0xbaeb86ed, 0x6bbedc06, 0xbae63cdf,
+    0x6bbb778d, 0xbae0f2fc,
+  0x6bb812d1, 0xbadba943, 0x6bb4add3, 0xbad65fb5, 0x6bb14892, 0xbad11652,
+    0x6bade30f, 0xbacbcd1a,
+  0x6baa7d49, 0xbac6840c, 0x6ba71741, 0xbac13b29, 0x6ba3b0f7, 0xbabbf270,
+    0x6ba04a6a, 0xbab6a9e3,
+  0x6b9ce39b, 0xbab16180, 0x6b997c8a, 0xbaac1948, 0x6b961536, 0xbaa6d13a,
+    0x6b92ada0, 0xbaa18958,
+  0x6b8f45c7, 0xba9c41a0, 0x6b8bddac, 0xba96fa13, 0x6b88754f, 0xba91b2b1,
+    0x6b850caf, 0xba8c6b79,
+  0x6b81a3cd, 0xba87246d, 0x6b7e3aa9, 0xba81dd8b, 0x6b7ad142, 0xba7c96d4,
+    0x6b776799, 0xba775048,
+  0x6b73fdae, 0xba7209e7, 0x6b709381, 0xba6cc3b1, 0x6b6d2911, 0xba677da6,
+    0x6b69be5f, 0xba6237c5,
+  0x6b66536b, 0xba5cf210, 0x6b62e834, 0xba57ac86, 0x6b5f7cbc, 0xba526726,
+    0x6b5c1101, 0xba4d21f2,
+  0x6b58a503, 0xba47dce8, 0x6b5538c4, 0xba42980a, 0x6b51cc42, 0xba3d5356,
+    0x6b4e5f7f, 0xba380ece,
+  0x6b4af279, 0xba32ca71, 0x6b478530, 0xba2d863e, 0x6b4417a6, 0xba284237,
+    0x6b40a9d9, 0xba22fe5b,
+  0x6b3d3bcb, 0xba1dbaaa, 0x6b39cd7a, 0xba187724, 0x6b365ee7, 0xba1333c9,
+    0x6b32f012, 0xba0df099,
+  0x6b2f80fb, 0xba08ad95, 0x6b2c11a1, 0xba036abb, 0x6b28a206, 0xb9fe280d,
+    0x6b253228, 0xb9f8e58a,
+  0x6b21c208, 0xb9f3a332, 0x6b1e51a7, 0xb9ee6106, 0x6b1ae103, 0xb9e91f04,
+    0x6b17701d, 0xb9e3dd2e,
+  0x6b13fef5, 0xb9de9b83, 0x6b108d8b, 0xb9d95a03, 0x6b0d1bdf, 0xb9d418af,
+    0x6b09a9f1, 0xb9ced786,
+  0x6b0637c1, 0xb9c99688, 0x6b02c54f, 0xb9c455b6, 0x6aff529a, 0xb9bf150e,
+    0x6afbdfa4, 0xb9b9d493,
+  0x6af86c6c, 0xb9b49442, 0x6af4f8f2, 0xb9af541d, 0x6af18536, 0xb9aa1423,
+    0x6aee1138, 0xb9a4d455,
+  0x6aea9cf8, 0xb99f94b2, 0x6ae72876, 0xb99a553a, 0x6ae3b3b2, 0xb99515ee,
+    0x6ae03eac, 0xb98fd6cd,
+  0x6adcc964, 0xb98a97d8, 0x6ad953db, 0xb985590e, 0x6ad5de0f, 0xb9801a70,
+    0x6ad26802, 0xb97adbfd,
+  0x6acef1b2, 0xb9759db6, 0x6acb7b21, 0xb9705f9a, 0x6ac8044e, 0xb96b21aa,
+    0x6ac48d39, 0xb965e3e5,
+  0x6ac115e2, 0xb960a64c, 0x6abd9e49, 0xb95b68de, 0x6aba266e, 0xb9562b9c,
+    0x6ab6ae52, 0xb950ee86,
+  0x6ab335f4, 0xb94bb19b, 0x6aafbd54, 0xb94674dc, 0x6aac4472, 0xb9413848,
+    0x6aa8cb4e, 0xb93bfbe0,
+  0x6aa551e9, 0xb936bfa4, 0x6aa1d841, 0xb9318393, 0x6a9e5e58, 0xb92c47ae,
+    0x6a9ae42e, 0xb9270bf5,
+  0x6a9769c1, 0xb921d067, 0x6a93ef13, 0xb91c9505, 0x6a907423, 0xb91759cf,
+    0x6a8cf8f1, 0xb9121ec5,
+  0x6a897d7d, 0xb90ce3e6, 0x6a8601c8, 0xb907a933, 0x6a8285d1, 0xb9026eac,
+    0x6a7f0999, 0xb8fd3451,
+  0x6a7b8d1e, 0xb8f7fa21, 0x6a781062, 0xb8f2c01d, 0x6a749365, 0xb8ed8646,
+    0x6a711625, 0xb8e84c99,
+  0x6a6d98a4, 0xb8e31319, 0x6a6a1ae2, 0xb8ddd9c5, 0x6a669cdd, 0xb8d8a09d,
+    0x6a631e97, 0xb8d367a0,
+  0x6a5fa010, 0xb8ce2ecf, 0x6a5c2147, 0xb8c8f62b, 0x6a58a23c, 0xb8c3bdb2,
+    0x6a5522ef, 0xb8be8565,
+  0x6a51a361, 0xb8b94d44, 0x6a4e2392, 0xb8b4154f, 0x6a4aa381, 0xb8aedd86,
+    0x6a47232e, 0xb8a9a5e9,
+  0x6a43a29a, 0xb8a46e78, 0x6a4021c4, 0xb89f3733, 0x6a3ca0ad, 0xb89a001a,
+    0x6a391f54, 0xb894c92d,
+  0x6a359db9, 0xb88f926d, 0x6a321bdd, 0xb88a5bd8, 0x6a2e99c0, 0xb885256f,
+    0x6a2b1761, 0xb87fef33,
+  0x6a2794c1, 0xb87ab922, 0x6a2411df, 0xb875833e, 0x6a208ebb, 0xb8704d85,
+    0x6a1d0b57, 0xb86b17f9,
+  0x6a1987b0, 0xb865e299, 0x6a1603c8, 0xb860ad66, 0x6a127f9f, 0xb85b785e,
+    0x6a0efb35, 0xb8564383,
+  0x6a0b7689, 0xb8510ed4, 0x6a07f19b, 0xb84bda51, 0x6a046c6c, 0xb846a5fa,
+    0x6a00e6fc, 0xb84171cf,
+  0x69fd614a, 0xb83c3dd1, 0x69f9db57, 0xb83709ff, 0x69f65523, 0xb831d659,
+    0x69f2cead, 0xb82ca2e0,
+  0x69ef47f6, 0xb8276f93, 0x69ebc0fe, 0xb8223c72, 0x69e839c4, 0xb81d097e,
+    0x69e4b249, 0xb817d6b6,
+  0x69e12a8c, 0xb812a41a, 0x69dda28f, 0xb80d71aa, 0x69da1a50, 0xb8083f67,
+    0x69d691cf, 0xb8030d51,
+  0x69d3090e, 0xb7fddb67, 0x69cf800b, 0xb7f8a9a9, 0x69cbf6c7, 0xb7f37818,
+    0x69c86d41, 0xb7ee46b3,
+  0x69c4e37a, 0xb7e9157a, 0x69c15973, 0xb7e3e46e, 0x69bdcf29, 0xb7deb38f,
+    0x69ba449f, 0xb7d982dc,
+  0x69b6b9d3, 0xb7d45255, 0x69b32ec7, 0xb7cf21fb, 0x69afa378, 0xb7c9f1ce,
+    0x69ac17e9, 0xb7c4c1cd,
+  0x69a88c19, 0xb7bf91f8, 0x69a50007, 0xb7ba6251, 0x69a173b5, 0xb7b532d6,
+    0x699de721, 0xb7b00387,
+  0x699a5a4c, 0xb7aad465, 0x6996cd35, 0xb7a5a570, 0x69933fde, 0xb7a076a7,
+    0x698fb246, 0xb79b480b,
+  0x698c246c, 0xb796199b, 0x69889651, 0xb790eb58, 0x698507f6, 0xb78bbd42,
+    0x69817959, 0xb7868f59,
+  0x697dea7b, 0xb781619c, 0x697a5b5c, 0xb77c340c, 0x6976cbfc, 0xb77706a9,
+    0x69733c5b, 0xb771d972,
+  0x696fac78, 0xb76cac69, 0x696c1c55, 0xb7677f8c, 0x69688bf1, 0xb76252db,
+    0x6964fb4c, 0xb75d2658,
+  0x69616a65, 0xb757fa01, 0x695dd93e, 0xb752cdd8, 0x695a47d6, 0xb74da1db,
+    0x6956b62d, 0xb748760b,
+  0x69532442, 0xb7434a67, 0x694f9217, 0xb73e1ef1, 0x694bffab, 0xb738f3a7,
+    0x69486cfe, 0xb733c88b,
+  0x6944da10, 0xb72e9d9b, 0x694146e1, 0xb72972d8, 0x693db371, 0xb7244842,
+    0x693a1fc0, 0xb71f1dd9,
+  0x69368bce, 0xb719f39e, 0x6932f79b, 0xb714c98e, 0x692f6328, 0xb70f9fac,
+    0x692bce73, 0xb70a75f7,
+  0x6928397e, 0xb7054c6f, 0x6924a448, 0xb7002314, 0x69210ed1, 0xb6faf9e6,
+    0x691d7919, 0xb6f5d0e5,
+  0x6919e320, 0xb6f0a812, 0x69164ce7, 0xb6eb7f6b, 0x6912b66c, 0xb6e656f1,
+    0x690f1fb1, 0xb6e12ea4,
+  0x690b88b5, 0xb6dc0685, 0x6907f178, 0xb6d6de92, 0x690459fb, 0xb6d1b6cd,
+    0x6900c23c, 0xb6cc8f35,
+  0x68fd2a3d, 0xb6c767ca, 0x68f991fd, 0xb6c2408c, 0x68f5f97d, 0xb6bd197c,
+    0x68f260bb, 0xb6b7f298,
+  0x68eec7b9, 0xb6b2cbe2, 0x68eb2e76, 0xb6ada559, 0x68e794f3, 0xb6a87efd,
+    0x68e3fb2e, 0xb6a358ce,
+  0x68e06129, 0xb69e32cd, 0x68dcc6e4, 0xb6990cf9, 0x68d92c5d, 0xb693e752,
+    0x68d59196, 0xb68ec1d9,
+  0x68d1f68f, 0xb6899c8d, 0x68ce5b46, 0xb684776e, 0x68cabfbd, 0xb67f527c,
+    0x68c723f3, 0xb67a2db8,
+  0x68c387e9, 0xb6750921, 0x68bfeb9e, 0xb66fe4b8, 0x68bc4f13, 0xb66ac07c,
+    0x68b8b247, 0xb6659c6d,
+  0x68b5153a, 0xb660788c, 0x68b177ed, 0xb65b54d8, 0x68adda5f, 0xb6563151,
+    0x68aa3c90, 0xb6510df8,
+  0x68a69e81, 0xb64beacd, 0x68a30031, 0xb646c7ce, 0x689f61a1, 0xb641a4fe,
+    0x689bc2d1, 0xb63c825b,
+  0x689823bf, 0xb6375fe5, 0x6894846e, 0xb6323d9d, 0x6890e4dc, 0xb62d1b82,
+    0x688d4509, 0xb627f995,
+  0x6889a4f6, 0xb622d7d6, 0x688604a2, 0xb61db644, 0x6882640e, 0xb61894df,
+    0x687ec339, 0xb61373a9,
+  0x687b2224, 0xb60e529f, 0x687780ce, 0xb60931c4, 0x6873df38, 0xb6041116,
+    0x68703d62, 0xb5fef095,
+  0x686c9b4b, 0xb5f9d043, 0x6868f8f4, 0xb5f4b01e, 0x6865565c, 0xb5ef9026,
+    0x6861b384, 0xb5ea705d,
+  0x685e106c, 0xb5e550c1, 0x685a6d13, 0xb5e03153, 0x6856c979, 0xb5db1212,
+    0x685325a0, 0xb5d5f2ff,
+  0x684f8186, 0xb5d0d41a, 0x684bdd2c, 0xb5cbb563, 0x68483891, 0xb5c696da,
+    0x684493b6, 0xb5c1787e,
+  0x6840ee9b, 0xb5bc5a50, 0x683d493f, 0xb5b73c50, 0x6839a3a4, 0xb5b21e7e,
+    0x6835fdc7, 0xb5ad00d9,
+  0x683257ab, 0xb5a7e362, 0x682eb14e, 0xb5a2c61a, 0x682b0ab1, 0xb59da8ff,
+    0x682763d4, 0xb5988c12,
+  0x6823bcb7, 0xb5936f53, 0x68201559, 0xb58e52c2, 0x681c6dbb, 0xb589365e,
+    0x6818c5dd, 0xb5841a29,
+  0x68151dbe, 0xb57efe22, 0x68117560, 0xb579e248, 0x680dccc1, 0xb574c69d,
+    0x680a23e2, 0xb56fab1f,
+  0x68067ac3, 0xb56a8fd0, 0x6802d164, 0xb56574ae, 0x67ff27c4, 0xb56059bb,
+    0x67fb7de5, 0xb55b3ef5,
+  0x67f7d3c5, 0xb556245e, 0x67f42965, 0xb55109f5, 0x67f07ec5, 0xb54befba,
+    0x67ecd3e5, 0xb546d5ac,
+  0x67e928c5, 0xb541bbcd, 0x67e57d64, 0xb53ca21c, 0x67e1d1c4, 0xb5378899,
+    0x67de25e3, 0xb5326f45,
+  0x67da79c3, 0xb52d561e, 0x67d6cd62, 0xb5283d26, 0x67d320c1, 0xb523245b,
+    0x67cf73e1, 0xb51e0bbf,
+  0x67cbc6c0, 0xb518f351, 0x67c8195f, 0xb513db12, 0x67c46bbe, 0xb50ec300,
+    0x67c0bddd, 0xb509ab1d,
+  0x67bd0fbd, 0xb5049368, 0x67b9615c, 0xb4ff7be1, 0x67b5b2bb, 0xb4fa6489,
+    0x67b203da, 0xb4f54d5f,
+  0x67ae54ba, 0xb4f03663, 0x67aaa559, 0xb4eb1f95, 0x67a6f5b8, 0xb4e608f6,
+    0x67a345d8, 0xb4e0f285,
+  0x679f95b7, 0xb4dbdc42, 0x679be557, 0xb4d6c62e, 0x679834b6, 0xb4d1b048,
+    0x679483d6, 0xb4cc9a90,
+  0x6790d2b6, 0xb4c78507, 0x678d2156, 0xb4c26fad, 0x67896fb6, 0xb4bd5a80,
+    0x6785bdd6, 0xb4b84582,
+  0x67820bb7, 0xb4b330b3, 0x677e5957, 0xb4ae1c12, 0x677aa6b8, 0xb4a9079f,
+    0x6776f3d9, 0xb4a3f35b,
+  0x677340ba, 0xb49edf45, 0x676f8d5b, 0xb499cb5e, 0x676bd9bd, 0xb494b7a6,
+    0x676825de, 0xb48fa41c,
+  0x676471c0, 0xb48a90c0, 0x6760bd62, 0xb4857d93, 0x675d08c4, 0xb4806a95,
+    0x675953e7, 0xb47b57c5,
+  0x67559eca, 0xb4764523, 0x6751e96d, 0xb47132b1, 0x674e33d0, 0xb46c206d,
+    0x674a7df4, 0xb4670e57,
+  0x6746c7d8, 0xb461fc70, 0x6743117c, 0xb45ceab8, 0x673f5ae0, 0xb457d92f,
+    0x673ba405, 0xb452c7d4,
+  0x6737ecea, 0xb44db6a8, 0x67343590, 0xb448a5aa, 0x67307df5, 0xb44394db,
+    0x672cc61c, 0xb43e843b,
+  0x67290e02, 0xb43973ca, 0x672555a9, 0xb4346387, 0x67219d10, 0xb42f5373,
+    0x671de438, 0xb42a438e,
+  0x671a2b20, 0xb42533d8, 0x671671c8, 0xb4202451, 0x6712b831, 0xb41b14f8,
+    0x670efe5a, 0xb41605ce,
+  0x670b4444, 0xb410f6d3, 0x670789ee, 0xb40be807, 0x6703cf58, 0xb406d969,
+    0x67001483, 0xb401cafb,
+  0x66fc596f, 0xb3fcbcbb, 0x66f89e1b, 0xb3f7aeaa, 0x66f4e287, 0xb3f2a0c9,
+    0x66f126b4, 0xb3ed9316,
+  0x66ed6aa1, 0xb3e88592, 0x66e9ae4f, 0xb3e3783d, 0x66e5f1be, 0xb3de6b17,
+    0x66e234ed, 0xb3d95e1f,
+  0x66de77dc, 0xb3d45157, 0x66daba8c, 0xb3cf44be, 0x66d6fcfd, 0xb3ca3854,
+    0x66d33f2e, 0xb3c52c19,
+  0x66cf8120, 0xb3c0200c, 0x66cbc2d2, 0xb3bb142f, 0x66c80445, 0xb3b60881,
+    0x66c44579, 0xb3b0fd02,
+  0x66c0866d, 0xb3abf1b2, 0x66bcc721, 0xb3a6e691, 0x66b90797, 0xb3a1dba0,
+    0x66b547cd, 0xb39cd0dd,
+  0x66b187c3, 0xb397c649, 0x66adc77b, 0xb392bbe5, 0x66aa06f3, 0xb38db1b0,
+    0x66a6462b, 0xb388a7aa,
+  0x66a28524, 0xb3839dd3, 0x669ec3de, 0xb37e942b, 0x669b0259, 0xb3798ab2,
+    0x66974095, 0xb3748169,
+  0x66937e91, 0xb36f784f, 0x668fbc4e, 0xb36a6f64, 0x668bf9cb, 0xb36566a8,
+    0x66883709, 0xb3605e1c,
+  0x66847408, 0xb35b55bf, 0x6680b0c8, 0xb3564d91, 0x667ced49, 0xb3514592,
+    0x6679298a, 0xb34c3dc3,
+  0x6675658c, 0xb3473623, 0x6671a14f, 0xb3422eb2, 0x666ddcd3, 0xb33d2771,
+    0x666a1818, 0xb338205f,
+  0x6666531d, 0xb333197c, 0x66628de4, 0xb32e12c9, 0x665ec86b, 0xb3290c45,
+    0x665b02b3, 0xb32405f1,
+  0x66573cbb, 0xb31effcc, 0x66537685, 0xb319f9d6, 0x664fb010, 0xb314f410,
+    0x664be95b, 0xb30fee79,
+  0x66482267, 0xb30ae912, 0x66445b35, 0xb305e3da, 0x664093c3, 0xb300ded2,
+    0x663ccc12, 0xb2fbd9f9,
+  0x66390422, 0xb2f6d550, 0x66353bf3, 0xb2f1d0d6, 0x66317385, 0xb2eccc8c,
+    0x662daad8, 0xb2e7c871,
+  0x6629e1ec, 0xb2e2c486, 0x662618c1, 0xb2ddc0ca, 0x66224f56, 0xb2d8bd3e,
+    0x661e85ad, 0xb2d3b9e2,
+  0x661abbc5, 0xb2ceb6b5, 0x6616f19e, 0xb2c9b3b8, 0x66132738, 0xb2c4b0ea,
+    0x660f5c93, 0xb2bfae4c,
+  0x660b91af, 0xb2baabde, 0x6607c68c, 0xb2b5a99f, 0x6603fb2a, 0xb2b0a790,
+    0x66002f89, 0xb2aba5b1,
+  0x65fc63a9, 0xb2a6a402, 0x65f8978b, 0xb2a1a282, 0x65f4cb2d, 0xb29ca132,
+    0x65f0fe91, 0xb297a011,
+  0x65ed31b5, 0xb2929f21, 0x65e9649b, 0xb28d9e60, 0x65e59742, 0xb2889dcf,
+    0x65e1c9aa, 0xb2839d6d,
+  0x65ddfbd3, 0xb27e9d3c, 0x65da2dbd, 0xb2799d3a, 0x65d65f69, 0xb2749d68,
+    0x65d290d6, 0xb26f9dc6,
+  0x65cec204, 0xb26a9e54, 0x65caf2f3, 0xb2659f12, 0x65c723a3, 0xb2609fff,
+    0x65c35415, 0xb25ba11d,
+  0x65bf8447, 0xb256a26a, 0x65bbb43b, 0xb251a3e7, 0x65b7e3f1, 0xb24ca594,
+    0x65b41367, 0xb247a771,
+  0x65b0429f, 0xb242a97e, 0x65ac7198, 0xb23dabbb, 0x65a8a052, 0xb238ae28,
+    0x65a4cece, 0xb233b0c5,
+  0x65a0fd0b, 0xb22eb392, 0x659d2b09, 0xb229b68f, 0x659958c9, 0xb224b9bc,
+    0x6595864a, 0xb21fbd19,
+  0x6591b38c, 0xb21ac0a6, 0x658de08f, 0xb215c463, 0x658a0d54, 0xb210c850,
+    0x658639db, 0xb20bcc6d,
+  0x65826622, 0xb206d0ba, 0x657e922b, 0xb201d537, 0x657abdf6, 0xb1fcd9e5,
+    0x6576e982, 0xb1f7dec2,
+  0x657314cf, 0xb1f2e3d0, 0x656f3fde, 0xb1ede90e, 0x656b6aae, 0xb1e8ee7c,
+    0x6567953f, 0xb1e3f41a,
+  0x6563bf92, 0xb1def9e9, 0x655fe9a7, 0xb1d9ffe7, 0x655c137d, 0xb1d50616,
+    0x65583d14, 0xb1d00c75,
+  0x6554666d, 0xb1cb1304, 0x65508f87, 0xb1c619c3, 0x654cb863, 0xb1c120b3,
+    0x6548e101, 0xb1bc27d3,
+  0x6545095f, 0xb1b72f23, 0x65413180, 0xb1b236a4, 0x653d5962, 0xb1ad3e55,
+    0x65398105, 0xb1a84636,
+  0x6535a86b, 0xb1a34e47, 0x6531cf91, 0xb19e5689, 0x652df679, 0xb1995efb,
+    0x652a1d23, 0xb194679e,
+  0x6526438f, 0xb18f7071, 0x652269bc, 0xb18a7974, 0x651e8faa, 0xb18582a8,
+    0x651ab55b, 0xb1808c0c,
+  0x6516dacd, 0xb17b95a0, 0x65130000, 0xb1769f65, 0x650f24f5, 0xb171a95b,
+    0x650b49ac, 0xb16cb380,
+  0x65076e25, 0xb167bdd7, 0x6503925f, 0xb162c85d, 0x64ffb65b, 0xb15dd315,
+    0x64fbda18, 0xb158ddfd,
+  0x64f7fd98, 0xb153e915, 0x64f420d9, 0xb14ef45e, 0x64f043dc, 0xb149ffd7,
+    0x64ec66a0, 0xb1450b81,
+  0x64e88926, 0xb140175b, 0x64e4ab6e, 0xb13b2367, 0x64e0cd78, 0xb1362fa2,
+    0x64dcef44, 0xb1313c0e,
+  0x64d910d1, 0xb12c48ab, 0x64d53220, 0xb1275579, 0x64d15331, 0xb1226277,
+    0x64cd7404, 0xb11d6fa6,
+  0x64c99498, 0xb1187d05, 0x64c5b4ef, 0xb1138a95, 0x64c1d507, 0xb10e9856,
+    0x64bdf4e1, 0xb109a648,
+  0x64ba147d, 0xb104b46a, 0x64b633da, 0xb0ffc2bd, 0x64b252fa, 0xb0fad140,
+    0x64ae71dc, 0xb0f5dff5,
+  0x64aa907f, 0xb0f0eeda, 0x64a6aee4, 0xb0ebfdf0, 0x64a2cd0c, 0xb0e70d37,
+    0x649eeaf5, 0xb0e21cae,
+  0x649b08a0, 0xb0dd2c56, 0x6497260d, 0xb0d83c2f, 0x6493433c, 0xb0d34c39,
+    0x648f602d, 0xb0ce5c74,
+  0x648b7ce0, 0xb0c96ce0, 0x64879955, 0xb0c47d7c, 0x6483b58c, 0xb0bf8e4a,
+    0x647fd185, 0xb0ba9f48,
+  0x647bed3f, 0xb0b5b077, 0x647808bc, 0xb0b0c1d7, 0x647423fb, 0xb0abd368,
+    0x64703efc, 0xb0a6e52a,
+  0x646c59bf, 0xb0a1f71d, 0x64687444, 0xb09d0941, 0x64648e8c, 0xb0981b96,
+    0x6460a895, 0xb0932e1b,
+  0x645cc260, 0xb08e40d2, 0x6458dbed, 0xb08953ba, 0x6454f53d, 0xb08466d3,
+    0x64510e4e, 0xb07f7a1c,
+  0x644d2722, 0xb07a8d97, 0x64493fb8, 0xb075a143, 0x64455810, 0xb070b520,
+    0x6441702a, 0xb06bc92e,
+  0x643d8806, 0xb066dd6d, 0x64399fa5, 0xb061f1de, 0x6435b706, 0xb05d067f,
+    0x6431ce28, 0xb0581b51,
+  0x642de50d, 0xb0533055, 0x6429fbb5, 0xb04e458a, 0x6426121e, 0xb0495af0,
+    0x6422284a, 0xb0447087,
+  0x641e3e38, 0xb03f864f, 0x641a53e8, 0xb03a9c49, 0x6416695a, 0xb035b273,
+    0x64127e8f, 0xb030c8cf,
+  0x640e9386, 0xb02bdf5c, 0x640aa83f, 0xb026f61b, 0x6406bcba, 0xb0220d0a,
+    0x6402d0f8, 0xb01d242b,
+  0x63fee4f8, 0xb0183b7d, 0x63faf8bb, 0xb0135301, 0x63f70c3f, 0xb00e6ab5,
+    0x63f31f86, 0xb009829c,
+  0x63ef3290, 0xb0049ab3, 0x63eb455c, 0xafffb2fc, 0x63e757ea, 0xaffacb76,
+    0x63e36a3a, 0xaff5e421,
+  0x63df7c4d, 0xaff0fcfe, 0x63db8e22, 0xafec160c, 0x63d79fba, 0xafe72f4c,
+    0x63d3b114, 0xafe248bd,
+  0x63cfc231, 0xafdd625f, 0x63cbd310, 0xafd87c33, 0x63c7e3b1, 0xafd39638,
+    0x63c3f415, 0xafceb06f,
+  0x63c0043b, 0xafc9cad7, 0x63bc1424, 0xafc4e571, 0x63b823cf, 0xafc0003c,
+    0x63b4333d, 0xafbb1b39,
+  0x63b0426d, 0xafb63667, 0x63ac5160, 0xafb151c7, 0x63a86015, 0xafac6d58,
+    0x63a46e8d, 0xafa7891b,
+  0x63a07cc7, 0xafa2a50f, 0x639c8ac4, 0xaf9dc135, 0x63989884, 0xaf98dd8d,
+    0x6394a606, 0xaf93fa16,
+  0x6390b34a, 0xaf8f16d1, 0x638cc051, 0xaf8a33bd, 0x6388cd1b, 0xaf8550db,
+    0x6384d9a7, 0xaf806e2b,
+  0x6380e5f6, 0xaf7b8bac, 0x637cf208, 0xaf76a95f, 0x6378fddc, 0xaf71c743,
+    0x63750973, 0xaf6ce55a,
+  0x637114cc, 0xaf6803a2, 0x636d1fe9, 0xaf63221c, 0x63692ac7, 0xaf5e40c7,
+    0x63653569, 0xaf595fa4,
+  0x63613fcd, 0xaf547eb3, 0x635d49f4, 0xaf4f9df4, 0x635953dd, 0xaf4abd66,
+    0x63555d8a, 0xaf45dd0b,
+  0x635166f9, 0xaf40fce1, 0x634d702b, 0xaf3c1ce9, 0x6349791f, 0xaf373d22,
+    0x634581d6, 0xaf325d8e,
+  0x63418a50, 0xaf2d7e2b, 0x633d928d, 0xaf289efa, 0x63399a8d, 0xaf23bffb,
+    0x6335a24f, 0xaf1ee12e,
+  0x6331a9d4, 0xaf1a0293, 0x632db11c, 0xaf15242a, 0x6329b827, 0xaf1045f3,
+    0x6325bef5, 0xaf0b67ed,
+  0x6321c585, 0xaf068a1a, 0x631dcbd9, 0xaf01ac78, 0x6319d1ef, 0xaefccf09,
+    0x6315d7c8, 0xaef7f1cb,
+  0x6311dd64, 0xaef314c0, 0x630de2c3, 0xaeee37e6, 0x6309e7e4, 0xaee95b3f,
+    0x6305ecc9, 0xaee47ec9,
+  0x6301f171, 0xaedfa285, 0x62fdf5db, 0xaedac674, 0x62f9fa09, 0xaed5ea95,
+    0x62f5fdf9, 0xaed10ee7,
+  0x62f201ac, 0xaecc336c, 0x62ee0523, 0xaec75823, 0x62ea085c, 0xaec27d0c,
+    0x62e60b58, 0xaebda227,
+  0x62e20e17, 0xaeb8c774, 0x62de109a, 0xaeb3ecf3, 0x62da12df, 0xaeaf12a4,
+    0x62d614e7, 0xaeaa3888,
+  0x62d216b3, 0xaea55e9e, 0x62ce1841, 0xaea084e6, 0x62ca1992, 0xae9bab60,
+    0x62c61aa7, 0xae96d20c,
+  0x62c21b7e, 0xae91f8eb, 0x62be1c19, 0xae8d1ffb, 0x62ba1c77, 0xae88473e,
+    0x62b61c98, 0xae836eb4,
+  0x62b21c7b, 0xae7e965b, 0x62ae1c23, 0xae79be35, 0x62aa1b8d, 0xae74e641,
+    0x62a61aba, 0xae700e80,
+  0x62a219aa, 0xae6b36f0, 0x629e185e, 0xae665f93, 0x629a16d5, 0xae618869,
+    0x6296150f, 0xae5cb171,
+  0x6292130c, 0xae57daab, 0x628e10cc, 0xae530417, 0x628a0e50, 0xae4e2db6,
+    0x62860b97, 0xae495787,
+  0x628208a1, 0xae44818b, 0x627e056e, 0xae3fabc1, 0x627a01fe, 0xae3ad629,
+    0x6275fe52, 0xae3600c4,
+  0x6271fa69, 0xae312b92, 0x626df643, 0xae2c5691, 0x6269f1e1, 0xae2781c4,
+    0x6265ed42, 0xae22ad29,
+  0x6261e866, 0xae1dd8c0, 0x625de34e, 0xae19048a, 0x6259ddf8, 0xae143086,
+    0x6255d866, 0xae0f5cb5,
+  0x6251d298, 0xae0a8916, 0x624dcc8d, 0xae05b5aa, 0x6249c645, 0xae00e271,
+    0x6245bfc0, 0xadfc0f6a,
+  0x6241b8ff, 0xadf73c96, 0x623db202, 0xadf269f4, 0x6239aac7, 0xaded9785,
+    0x6235a351, 0xade8c548,
+  0x62319b9d, 0xade3f33e, 0x622d93ad, 0xaddf2167, 0x62298b81, 0xadda4fc3,
+    0x62258317, 0xadd57e51,
+  0x62217a72, 0xadd0ad12, 0x621d7190, 0xadcbdc05, 0x62196871, 0xadc70b2c,
+    0x62155f16, 0xadc23a85,
+  0x6211557e, 0xadbd6a10, 0x620d4baa, 0xadb899cf, 0x62094199, 0xadb3c9c0,
+    0x6205374c, 0xadaef9e4,
+  0x62012cc2, 0xadaa2a3b, 0x61fd21fc, 0xada55ac4, 0x61f916f9, 0xada08b80,
+    0x61f50bba, 0xad9bbc70,
+  0x61f1003f, 0xad96ed92, 0x61ecf487, 0xad921ee6, 0x61e8e893, 0xad8d506e,
+    0x61e4dc62, 0xad888229,
+  0x61e0cff5, 0xad83b416, 0x61dcc34c, 0xad7ee636, 0x61d8b666, 0xad7a1889,
+    0x61d4a944, 0xad754b0f,
+  0x61d09be5, 0xad707dc8, 0x61cc8e4b, 0xad6bb0b4, 0x61c88074, 0xad66e3d3,
+    0x61c47260, 0xad621725,
+  0x61c06410, 0xad5d4aaa, 0x61bc5584, 0xad587e61, 0x61b846bc, 0xad53b24c,
+    0x61b437b7, 0xad4ee66a,
+  0x61b02876, 0xad4a1aba, 0x61ac18f9, 0xad454f3e, 0x61a80940, 0xad4083f5,
+    0x61a3f94a, 0xad3bb8df,
+  0x619fe918, 0xad36edfc, 0x619bd8aa, 0xad32234b, 0x6197c800, 0xad2d58ce,
+    0x6193b719, 0xad288e85,
+  0x618fa5f7, 0xad23c46e, 0x618b9498, 0xad1efa8a, 0x618782fd, 0xad1a30d9,
+    0x61837126, 0xad15675c,
+  0x617f5f12, 0xad109e12, 0x617b4cc3, 0xad0bd4fb, 0x61773a37, 0xad070c17,
+    0x61732770, 0xad024366,
+  0x616f146c, 0xacfd7ae8, 0x616b012c, 0xacf8b29e, 0x6166edb0, 0xacf3ea87,
+    0x6162d9f8, 0xacef22a3,
+  0x615ec603, 0xacea5af2, 0x615ab1d3, 0xace59375, 0x61569d67, 0xace0cc2b,
+    0x615288be, 0xacdc0514,
+  0x614e73da, 0xacd73e30, 0x614a5eba, 0xacd27780, 0x6146495d, 0xaccdb103,
+    0x614233c5, 0xacc8eab9,
+  0x613e1df0, 0xacc424a3, 0x613a07e0, 0xacbf5ec0, 0x6135f193, 0xacba9910,
+    0x6131db0b, 0xacb5d394,
+  0x612dc447, 0xacb10e4b, 0x6129ad46, 0xacac4935, 0x6125960a, 0xaca78453,
+    0x61217e92, 0xaca2bfa4,
+  0x611d66de, 0xac9dfb29, 0x61194eee, 0xac9936e1, 0x611536c2, 0xac9472cd,
+    0x61111e5b, 0xac8faeec,
+  0x610d05b7, 0xac8aeb3e, 0x6108ecd8, 0xac8627c4, 0x6104d3bc, 0xac81647e,
+    0x6100ba65, 0xac7ca16b,
+  0x60fca0d2, 0xac77de8b, 0x60f88703, 0xac731bdf, 0x60f46cf9, 0xac6e5967,
+    0x60f052b2, 0xac699722,
+  0x60ec3830, 0xac64d510, 0x60e81d72, 0xac601333, 0x60e40278, 0xac5b5189,
+    0x60dfe743, 0xac569012,
+  0x60dbcbd1, 0xac51cecf, 0x60d7b024, 0xac4d0dc0, 0x60d3943b, 0xac484ce4,
+    0x60cf7817, 0xac438c3c,
+  0x60cb5bb7, 0xac3ecbc7, 0x60c73f1b, 0xac3a0b87, 0x60c32243, 0xac354b7a,
+    0x60bf0530, 0xac308ba0,
+  0x60bae7e1, 0xac2bcbfa, 0x60b6ca56, 0xac270c88, 0x60b2ac8f, 0xac224d4a,
+    0x60ae8e8d, 0xac1d8e40,
+  0x60aa7050, 0xac18cf69, 0x60a651d7, 0xac1410c6, 0x60a23322, 0xac0f5256,
+    0x609e1431, 0xac0a941b,
+  0x6099f505, 0xac05d613, 0x6095d59d, 0xac01183f, 0x6091b5fa, 0xabfc5a9f,
+    0x608d961b, 0xabf79d33,
+  0x60897601, 0xabf2dffb, 0x608555ab, 0xabee22f6, 0x60813519, 0xabe96625,
+    0x607d144c, 0xabe4a988,
+  0x6078f344, 0xabdfed1f, 0x6074d200, 0xabdb30ea, 0x6070b080, 0xabd674e9,
+    0x606c8ec5, 0xabd1b91c,
+  0x60686ccf, 0xabccfd83, 0x60644a9d, 0xabc8421d, 0x6060282f, 0xabc386ec,
+    0x605c0587, 0xabbecbee,
+  0x6057e2a2, 0xabba1125, 0x6053bf82, 0xabb5568f, 0x604f9c27, 0xabb09c2e,
+    0x604b7891, 0xababe200,
+  0x604754bf, 0xaba72807, 0x604330b1, 0xaba26e41, 0x603f0c69, 0xab9db4b0,
+    0x603ae7e5, 0xab98fb52,
+  0x6036c325, 0xab944229, 0x60329e2a, 0xab8f8934, 0x602e78f4, 0xab8ad073,
+    0x602a5383, 0xab8617e6,
+  0x60262dd6, 0xab815f8d, 0x602207ee, 0xab7ca768, 0x601de1ca, 0xab77ef77,
+    0x6019bb6b, 0xab7337bb,
+  0x601594d1, 0xab6e8032, 0x60116dfc, 0xab69c8de, 0x600d46ec, 0xab6511be,
+    0x60091fa0, 0xab605ad2,
+  0x6004f819, 0xab5ba41a, 0x6000d057, 0xab56ed97, 0x5ffca859, 0xab523748,
+    0x5ff88021, 0xab4d812d,
+  0x5ff457ad, 0xab48cb46, 0x5ff02efe, 0xab441593, 0x5fec0613, 0xab3f6015,
+    0x5fe7dcee, 0xab3aaacb,
+  0x5fe3b38d, 0xab35f5b5, 0x5fdf89f2, 0xab3140d4, 0x5fdb601b, 0xab2c8c27,
+    0x5fd73609, 0xab27d7ae,
+  0x5fd30bbc, 0xab23236a, 0x5fcee133, 0xab1e6f5a, 0x5fcab670, 0xab19bb7e,
+    0x5fc68b72, 0xab1507d7,
+  0x5fc26038, 0xab105464, 0x5fbe34c4, 0xab0ba125, 0x5fba0914, 0xab06ee1b,
+    0x5fb5dd29, 0xab023b46,
+  0x5fb1b104, 0xaafd88a4, 0x5fad84a3, 0xaaf8d637, 0x5fa95807, 0xaaf423ff,
+    0x5fa52b31, 0xaaef71fb,
+  0x5fa0fe1f, 0xaaeac02c, 0x5f9cd0d2, 0xaae60e91, 0x5f98a34a, 0xaae15d2a,
+    0x5f947588, 0xaadcabf8,
+  0x5f90478a, 0xaad7fafb, 0x5f8c1951, 0xaad34a32, 0x5f87eade, 0xaace999d,
+    0x5f83bc2f, 0xaac9e93e,
+  0x5f7f8d46, 0xaac53912, 0x5f7b5e22, 0xaac0891c, 0x5f772ec2, 0xaabbd959,
+    0x5f72ff28, 0xaab729cc,
+  0x5f6ecf53, 0xaab27a73, 0x5f6a9f44, 0xaaadcb4f, 0x5f666ef9, 0xaaa91c5f,
+    0x5f623e73, 0xaaa46da4,
+  0x5f5e0db3, 0xaa9fbf1e, 0x5f59dcb8, 0xaa9b10cc, 0x5f55ab82, 0xaa9662af,
+    0x5f517a11, 0xaa91b4c7,
+  0x5f4d4865, 0xaa8d0713, 0x5f49167f, 0xaa885994, 0x5f44e45e, 0xaa83ac4a,
+    0x5f40b202, 0xaa7eff34,
+  0x5f3c7f6b, 0xaa7a5253, 0x5f384c9a, 0xaa75a5a8, 0x5f34198e, 0xaa70f930,
+    0x5f2fe647, 0xaa6c4cee,
+  0x5f2bb2c5, 0xaa67a0e0, 0x5f277f09, 0xaa62f507, 0x5f234b12, 0xaa5e4963,
+    0x5f1f16e0, 0xaa599df4,
+  0x5f1ae274, 0xaa54f2ba, 0x5f16adcc, 0xaa5047b4, 0x5f1278eb, 0xaa4b9ce3,
+    0x5f0e43ce, 0xaa46f248,
+  0x5f0a0e77, 0xaa4247e1, 0x5f05d8e6, 0xaa3d9daf, 0x5f01a31a, 0xaa38f3b1,
+    0x5efd6d13, 0xaa3449e9,
+  0x5ef936d1, 0xaa2fa056, 0x5ef50055, 0xaa2af6f7, 0x5ef0c99f, 0xaa264dce,
+    0x5eec92ae, 0xaa21a4d9,
+  0x5ee85b82, 0xaa1cfc1a, 0x5ee4241c, 0xaa18538f, 0x5edfec7b, 0xaa13ab3a,
+    0x5edbb49f, 0xaa0f0319,
+  0x5ed77c8a, 0xaa0a5b2e, 0x5ed34439, 0xaa05b377, 0x5ecf0baf, 0xaa010bf6,
+    0x5ecad2e9, 0xa9fc64a9,
+  0x5ec699e9, 0xa9f7bd92, 0x5ec260af, 0xa9f316b0, 0x5ebe273b, 0xa9ee7002,
+    0x5eb9ed8b, 0xa9e9c98a,
+  0x5eb5b3a2, 0xa9e52347, 0x5eb1797e, 0xa9e07d39, 0x5ead3f1f, 0xa9dbd761,
+    0x5ea90487, 0xa9d731bd,
+  0x5ea4c9b3, 0xa9d28c4e, 0x5ea08ea6, 0xa9cde715, 0x5e9c535e, 0xa9c94211,
+    0x5e9817dc, 0xa9c49d42,
+  0x5e93dc1f, 0xa9bff8a8, 0x5e8fa028, 0xa9bb5444, 0x5e8b63f7, 0xa9b6b014,
+    0x5e87278b, 0xa9b20c1a,
+  0x5e82eae5, 0xa9ad6855, 0x5e7eae05, 0xa9a8c4c5, 0x5e7a70ea, 0xa9a4216b,
+    0x5e763395, 0xa99f7e46,
+  0x5e71f606, 0xa99adb56, 0x5e6db83d, 0xa996389b, 0x5e697a39, 0xa9919616,
+    0x5e653bfc, 0xa98cf3c6,
+  0x5e60fd84, 0xa98851ac, 0x5e5cbed1, 0xa983afc6, 0x5e587fe5, 0xa97f0e16,
+    0x5e5440be, 0xa97a6c9c,
+  0x5e50015d, 0xa975cb57, 0x5e4bc1c2, 0xa9712a47, 0x5e4781ed, 0xa96c896c,
+    0x5e4341de, 0xa967e8c7,
+  0x5e3f0194, 0xa9634858, 0x5e3ac110, 0xa95ea81d, 0x5e368053, 0xa95a0819,
+    0x5e323f5b, 0xa9556849,
+  0x5e2dfe29, 0xa950c8b0, 0x5e29bcbd, 0xa94c294b, 0x5e257b17, 0xa9478a1c,
+    0x5e213936, 0xa942eb23,
+  0x5e1cf71c, 0xa93e4c5f, 0x5e18b4c8, 0xa939add1, 0x5e147239, 0xa9350f78,
+    0x5e102f71, 0xa9307155,
+  0x5e0bec6e, 0xa92bd367, 0x5e07a932, 0xa92735af, 0x5e0365bb, 0xa922982c,
+    0x5dff220b, 0xa91dfadf,
+  0x5dfade20, 0xa9195dc7, 0x5df699fc, 0xa914c0e6, 0x5df2559e, 0xa9102439,
+    0x5dee1105, 0xa90b87c3,
+  0x5de9cc33, 0xa906eb82, 0x5de58727, 0xa9024f76, 0x5de141e1, 0xa8fdb3a1,
+    0x5ddcfc61, 0xa8f91801,
+  0x5dd8b6a7, 0xa8f47c97, 0x5dd470b3, 0xa8efe162, 0x5dd02a85, 0xa8eb4663,
+    0x5dcbe41d, 0xa8e6ab9a,
+  0x5dc79d7c, 0xa8e21106, 0x5dc356a1, 0xa8dd76a9, 0x5dbf0f8c, 0xa8d8dc81,
+    0x5dbac83d, 0xa8d4428f,
+  0x5db680b4, 0xa8cfa8d2, 0x5db238f1, 0xa8cb0f4b, 0x5dadf0f5, 0xa8c675fb,
+    0x5da9a8bf, 0xa8c1dce0,
+  0x5da5604f, 0xa8bd43fa, 0x5da117a5, 0xa8b8ab4b, 0x5d9ccec2, 0xa8b412d1,
+    0x5d9885a5, 0xa8af7a8e,
+  0x5d943c4e, 0xa8aae280, 0x5d8ff2bd, 0xa8a64aa8, 0x5d8ba8f3, 0xa8a1b306,
+    0x5d875eef, 0xa89d1b99,
+  0x5d8314b1, 0xa8988463, 0x5d7eca39, 0xa893ed63, 0x5d7a7f88, 0xa88f5698,
+    0x5d76349d, 0xa88ac004,
+  0x5d71e979, 0xa88629a5, 0x5d6d9e1b, 0xa881937c, 0x5d695283, 0xa87cfd8a,
+    0x5d6506b2, 0xa87867cd,
+  0x5d60baa7, 0xa873d246, 0x5d5c6e62, 0xa86f3cf6, 0x5d5821e4, 0xa86aa7db,
+    0x5d53d52d, 0xa86612f6,
+  0x5d4f883b, 0xa8617e48, 0x5d4b3b10, 0xa85ce9cf, 0x5d46edac, 0xa858558d,
+    0x5d42a00e, 0xa853c180,
+  0x5d3e5237, 0xa84f2daa, 0x5d3a0426, 0xa84a9a0a, 0x5d35b5db, 0xa84606a0,
+    0x5d316757, 0xa841736c,
+  0x5d2d189a, 0xa83ce06e, 0x5d28c9a3, 0xa8384da6, 0x5d247a72, 0xa833bb14,
+    0x5d202b09, 0xa82f28b9,
+  0x5d1bdb65, 0xa82a9693, 0x5d178b89, 0xa82604a4, 0x5d133b72, 0xa82172eb,
+    0x5d0eeb23, 0xa81ce169,
+  0x5d0a9a9a, 0xa818501c, 0x5d0649d7, 0xa813bf06, 0x5d01f8dc, 0xa80f2e26,
+    0x5cfda7a7, 0xa80a9d7c,
+  0x5cf95638, 0xa8060d08, 0x5cf50490, 0xa8017ccb, 0x5cf0b2af, 0xa7fcecc4,
+    0x5cec6095, 0xa7f85cf3,
+  0x5ce80e41, 0xa7f3cd59, 0x5ce3bbb4, 0xa7ef3df5, 0x5cdf68ed, 0xa7eaaec7,
+    0x5cdb15ed, 0xa7e61fd0,
+  0x5cd6c2b5, 0xa7e1910f, 0x5cd26f42, 0xa7dd0284, 0x5cce1b97, 0xa7d8742f,
+    0x5cc9c7b2, 0xa7d3e611,
+  0x5cc57394, 0xa7cf582a, 0x5cc11f3d, 0xa7caca79, 0x5cbccaac, 0xa7c63cfe,
+    0x5cb875e3, 0xa7c1afb9,
+  0x5cb420e0, 0xa7bd22ac, 0x5cafcba4, 0xa7b895d4, 0x5cab762f, 0xa7b40933,
+    0x5ca72080, 0xa7af7cc8,
+  0x5ca2ca99, 0xa7aaf094, 0x5c9e7478, 0xa7a66497, 0x5c9a1e1e, 0xa7a1d8d0,
+    0x5c95c78b, 0xa79d4d3f,
+  0x5c9170bf, 0xa798c1e5, 0x5c8d19ba, 0xa79436c1, 0x5c88c27c, 0xa78fabd4,
+    0x5c846b05, 0xa78b211e,
+  0x5c801354, 0xa786969e, 0x5c7bbb6b, 0xa7820c55, 0x5c776348, 0xa77d8242,
+    0x5c730aed, 0xa778f866,
+  0x5c6eb258, 0xa7746ec0, 0x5c6a598b, 0xa76fe551, 0x5c660084, 0xa76b5c19,
+    0x5c61a745, 0xa766d317,
+  0x5c5d4dcc, 0xa7624a4d, 0x5c58f41a, 0xa75dc1b8, 0x5c549a30, 0xa759395b,
+    0x5c50400d, 0xa754b134,
+  0x5c4be5b0, 0xa7502943, 0x5c478b1b, 0xa74ba18a, 0x5c43304d, 0xa7471a07,
+    0x5c3ed545, 0xa74292bb,
+  0x5c3a7a05, 0xa73e0ba5, 0x5c361e8c, 0xa73984c7, 0x5c31c2db, 0xa734fe1f,
+    0x5c2d66f0, 0xa73077ae,
+  0x5c290acc, 0xa72bf174, 0x5c24ae70, 0xa7276b70, 0x5c2051db, 0xa722e5a3,
+    0x5c1bf50d, 0xa71e600d,
+  0x5c179806, 0xa719daae, 0x5c133ac6, 0xa7155586, 0x5c0edd4e, 0xa710d095,
+    0x5c0a7f9c, 0xa70c4bda,
+  0x5c0621b2, 0xa707c757, 0x5c01c38f, 0xa703430a, 0x5bfd6534, 0xa6febef4,
+    0x5bf906a0, 0xa6fa3b15,
+  0x5bf4a7d2, 0xa6f5b76d, 0x5bf048cd, 0xa6f133fc, 0x5bebe98e, 0xa6ecb0c2,
+    0x5be78a17, 0xa6e82dbe,
+  0x5be32a67, 0xa6e3aaf2, 0x5bdeca7f, 0xa6df285d, 0x5bda6a5d, 0xa6daa5fe,
+    0x5bd60a03, 0xa6d623d7,
+  0x5bd1a971, 0xa6d1a1e7, 0x5bcd48a6, 0xa6cd202d, 0x5bc8e7a2, 0xa6c89eab,
+    0x5bc48666, 0xa6c41d60,
+  0x5bc024f0, 0xa6bf9c4b, 0x5bbbc343, 0xa6bb1b6e, 0x5bb7615d, 0xa6b69ac8,
+    0x5bb2ff3e, 0xa6b21a59,
+  0x5bae9ce7, 0xa6ad9a21, 0x5baa3a57, 0xa6a91a20, 0x5ba5d78e, 0xa6a49a56,
+    0x5ba1748d, 0xa6a01ac4,
+  0x5b9d1154, 0xa69b9b68, 0x5b98ade2, 0xa6971c44, 0x5b944a37, 0xa6929d57,
+    0x5b8fe654, 0xa68e1ea1,
+  0x5b8b8239, 0xa689a022, 0x5b871de5, 0xa68521da, 0x5b82b958, 0xa680a3ca,
+    0x5b7e5493, 0xa67c25f0,
+  0x5b79ef96, 0xa677a84e, 0x5b758a60, 0xa6732ae3, 0x5b7124f2, 0xa66eadb0,
+    0x5b6cbf4c, 0xa66a30b3,
+  0x5b68596d, 0xa665b3ee, 0x5b63f355, 0xa6613760, 0x5b5f8d06, 0xa65cbb0a,
+    0x5b5b267e, 0xa6583eeb,
+  0x5b56bfbd, 0xa653c303, 0x5b5258c4, 0xa64f4752, 0x5b4df193, 0xa64acbd9,
+    0x5b498a2a, 0xa6465097,
+  0x5b452288, 0xa641d58c, 0x5b40baae, 0xa63d5ab9, 0x5b3c529c, 0xa638e01d,
+    0x5b37ea51, 0xa63465b9,
+  0x5b3381ce, 0xa62feb8b, 0x5b2f1913, 0xa62b7196, 0x5b2ab020, 0xa626f7d7,
+    0x5b2646f4, 0xa6227e50,
+  0x5b21dd90, 0xa61e0501, 0x5b1d73f4, 0xa6198be9, 0x5b190a20, 0xa6151308,
+    0x5b14a014, 0xa6109a5f,
+  0x5b1035cf, 0xa60c21ee, 0x5b0bcb52, 0xa607a9b4, 0x5b07609d, 0xa60331b1,
+    0x5b02f5b0, 0xa5feb9e6,
+  0x5afe8a8b, 0xa5fa4252, 0x5afa1f2e, 0xa5f5caf6, 0x5af5b398, 0xa5f153d2,
+    0x5af147ca, 0xa5ecdce5,
+  0x5aecdbc5, 0xa5e8662f, 0x5ae86f87, 0xa5e3efb1, 0x5ae40311, 0xa5df796b,
+    0x5adf9663, 0xa5db035c,
+  0x5adb297d, 0xa5d68d85, 0x5ad6bc5f, 0xa5d217e6, 0x5ad24f09, 0xa5cda27e,
+    0x5acde17b, 0xa5c92d4e,
+  0x5ac973b5, 0xa5c4b855, 0x5ac505b7, 0xa5c04395, 0x5ac09781, 0xa5bbcf0b,
+    0x5abc2912, 0xa5b75aba,
+  0x5ab7ba6c, 0xa5b2e6a0, 0x5ab34b8e, 0xa5ae72be, 0x5aaedc78, 0xa5a9ff14,
+    0x5aaa6d2b, 0xa5a58ba1,
+  0x5aa5fda5, 0xa5a11866, 0x5aa18de7, 0xa59ca563, 0x5a9d1df1, 0xa5983297,
+    0x5a98adc4, 0xa593c004,
+  0x5a943d5e, 0xa58f4da8, 0x5a8fccc1, 0xa58adb84, 0x5a8b5bec, 0xa5866997,
+    0x5a86eadf, 0xa581f7e3,
+  0x5a82799a, 0xa57d8666, 0x5a7e081d, 0xa5791521, 0x5a799669, 0xa574a414,
+    0x5a75247c, 0xa570333f,
+  0x5a70b258, 0xa56bc2a2, 0x5a6c3ffc, 0xa567523c, 0x5a67cd69, 0xa562e20f,
+    0x5a635a9d, 0xa55e7219,
+  0x5a5ee79a, 0xa55a025b, 0x5a5a745f, 0xa55592d5, 0x5a5600ec, 0xa5512388,
+    0x5a518d42, 0xa54cb472,
+  0x5a4d1960, 0xa5484594, 0x5a48a546, 0xa543d6ee, 0x5a4430f5, 0xa53f687f,
+    0x5a3fbc6b, 0xa53afa49,
+  0x5a3b47ab, 0xa5368c4b, 0x5a36d2b2, 0xa5321e85, 0x5a325d82, 0xa52db0f7,
+    0x5a2de81a, 0xa52943a1,
+  0x5a29727b, 0xa524d683, 0x5a24fca4, 0xa520699d, 0x5a208695, 0xa51bfcef,
+    0x5a1c104f, 0xa5179079,
+  0x5a1799d1, 0xa513243b, 0x5a13231b, 0xa50eb836, 0x5a0eac2e, 0xa50a4c68,
+    0x5a0a350a, 0xa505e0d2,
+  0x5a05bdae, 0xa5017575, 0x5a01461a, 0xa4fd0a50, 0x59fcce4f, 0xa4f89f63,
+    0x59f8564c, 0xa4f434ae,
+  0x59f3de12, 0xa4efca31, 0x59ef65a1, 0xa4eb5fec, 0x59eaecf8, 0xa4e6f5e0,
+    0x59e67417, 0xa4e28c0c,
+  0x59e1faff, 0xa4de2270, 0x59dd81b0, 0xa4d9b90c, 0x59d90829, 0xa4d54fe0,
+    0x59d48e6a, 0xa4d0e6ed,
+  0x59d01475, 0xa4cc7e32, 0x59cb9a47, 0xa4c815af, 0x59c71fe3, 0xa4c3ad64,
+    0x59c2a547, 0xa4bf4552,
+  0x59be2a74, 0xa4badd78, 0x59b9af69, 0xa4b675d6, 0x59b53427, 0xa4b20e6d,
+    0x59b0b8ae, 0xa4ada73c,
+  0x59ac3cfd, 0xa4a94043, 0x59a7c115, 0xa4a4d982, 0x59a344f6, 0xa4a072fa,
+    0x599ec8a0, 0xa49c0cab,
+  0x599a4c12, 0xa497a693, 0x5995cf4d, 0xa49340b4, 0x59915250, 0xa48edb0e,
+    0x598cd51d, 0xa48a75a0,
+  0x598857b2, 0xa486106a, 0x5983da10, 0xa481ab6d, 0x597f5c36, 0xa47d46a8,
+    0x597ade26, 0xa478e21b,
+  0x59765fde, 0xa4747dc7, 0x5971e15f, 0xa47019ac, 0x596d62a9, 0xa46bb5c9,
+    0x5968e3bc, 0xa467521e,
+  0x59646498, 0xa462eeac, 0x595fe53c, 0xa45e8b73, 0x595b65aa, 0xa45a2872,
+    0x5956e5e0, 0xa455c5a9,
+  0x595265df, 0xa4516319, 0x594de5a7, 0xa44d00c2, 0x59496538, 0xa4489ea3,
+    0x5944e492, 0xa4443cbd,
+  0x594063b5, 0xa43fdb10, 0x593be2a0, 0xa43b799a, 0x59376155, 0xa437185e,
+    0x5932dfd3, 0xa432b75a,
+  0x592e5e19, 0xa42e568f, 0x5929dc29, 0xa429f5fd, 0x59255a02, 0xa42595a3,
+    0x5920d7a3, 0xa4213581,
+  0x591c550e, 0xa41cd599, 0x5917d242, 0xa41875e9, 0x59134f3e, 0xa4141672,
+    0x590ecc04, 0xa40fb733,
+  0x590a4893, 0xa40b582e, 0x5905c4eb, 0xa406f960, 0x5901410c, 0xa4029acc,
+    0x58fcbcf6, 0xa3fe3c71,
+  0x58f838a9, 0xa3f9de4e, 0x58f3b426, 0xa3f58064, 0x58ef2f6b, 0xa3f122b2,
+    0x58eaaa7a, 0xa3ecc53a,
+  0x58e62552, 0xa3e867fa, 0x58e19ff3, 0xa3e40af3, 0x58dd1a5d, 0xa3dfae25,
+    0x58d89490, 0xa3db5190,
+  0x58d40e8c, 0xa3d6f534, 0x58cf8852, 0xa3d29910, 0x58cb01e1, 0xa3ce3d25,
+    0x58c67b39, 0xa3c9e174,
+  0x58c1f45b, 0xa3c585fb, 0x58bd6d45, 0xa3c12abb, 0x58b8e5f9, 0xa3bccfb3,
+    0x58b45e76, 0xa3b874e5,
+  0x58afd6bd, 0xa3b41a50, 0x58ab4ecc, 0xa3afbff3, 0x58a6c6a5, 0xa3ab65d0,
+    0x58a23e48, 0xa3a70be6,
+  0x589db5b3, 0xa3a2b234, 0x58992ce9, 0xa39e58bb, 0x5894a3e7, 0xa399ff7c,
+    0x58901aaf, 0xa395a675,
+  0x588b9140, 0xa3914da8, 0x5887079a, 0xa38cf513, 0x58827dbe, 0xa3889cb8,
+    0x587df3ab, 0xa3844495,
+  0x58796962, 0xa37fecac, 0x5874dee2, 0xa37b94fb, 0x5870542c, 0xa3773d84,
+    0x586bc93f, 0xa372e646,
+  0x58673e1b, 0xa36e8f41, 0x5862b2c1, 0xa36a3875, 0x585e2730, 0xa365e1e2,
+    0x58599b69, 0xa3618b88,
+  0x58550f6c, 0xa35d3567, 0x58508338, 0xa358df80, 0x584bf6cd, 0xa35489d1,
+    0x58476a2c, 0xa350345c,
+  0x5842dd54, 0xa34bdf20, 0x583e5047, 0xa3478a1d, 0x5839c302, 0xa3433554,
+    0x58353587, 0xa33ee0c3,
+  0x5830a7d6, 0xa33a8c6c, 0x582c19ef, 0xa336384e, 0x58278bd1, 0xa331e469,
+    0x5822fd7c, 0xa32d90be,
+  0x581e6ef1, 0xa3293d4b, 0x5819e030, 0xa324ea13, 0x58155139, 0xa3209713,
+    0x5810c20b, 0xa31c444c,
+  0x580c32a7, 0xa317f1bf, 0x5807a30d, 0xa3139f6b, 0x5803133c, 0xa30f4d51,
+    0x57fe8335, 0xa30afb70,
+  0x57f9f2f8, 0xa306a9c8, 0x57f56284, 0xa3025859, 0x57f0d1da, 0xa2fe0724,
+    0x57ec40fa, 0xa2f9b629,
+  0x57e7afe4, 0xa2f56566, 0x57e31e97, 0xa2f114dd, 0x57de8d15, 0xa2ecc48e,
+    0x57d9fb5c, 0xa2e87477,
+  0x57d5696d, 0xa2e4249b, 0x57d0d747, 0xa2dfd4f7, 0x57cc44ec, 0xa2db858e,
+    0x57c7b25a, 0xa2d7365d,
+  0x57c31f92, 0xa2d2e766, 0x57be8c94, 0xa2ce98a9, 0x57b9f960, 0xa2ca4a25,
+    0x57b565f6, 0xa2c5fbda,
+  0x57b0d256, 0xa2c1adc9, 0x57ac3e80, 0xa2bd5ff2, 0x57a7aa73, 0xa2b91254,
+    0x57a31631, 0xa2b4c4f0,
+  0x579e81b8, 0xa2b077c5, 0x5799ed0a, 0xa2ac2ad3, 0x57955825, 0xa2a7de1c,
+    0x5790c30a, 0xa2a3919e,
+  0x578c2dba, 0xa29f4559, 0x57879833, 0xa29af94e, 0x57830276, 0xa296ad7d,
+    0x577e6c84, 0xa29261e5,
+  0x5779d65b, 0xa28e1687, 0x57753ffc, 0xa289cb63, 0x5770a968, 0xa2858078,
+    0x576c129d, 0xa28135c7,
+  0x57677b9d, 0xa27ceb4f, 0x5762e467, 0xa278a111, 0x575e4cfa, 0xa274570d,
+    0x5759b558, 0xa2700d43,
+  0x57551d80, 0xa26bc3b2, 0x57508572, 0xa2677a5b, 0x574bed2f, 0xa263313e,
+    0x574754b5, 0xa25ee85b,
+  0x5742bc06, 0xa25a9fb1, 0x573e2320, 0xa2565741, 0x57398a05, 0xa2520f0b,
+    0x5734f0b5, 0xa24dc70f,
+  0x5730572e, 0xa2497f4c, 0x572bbd71, 0xa24537c3, 0x5727237f, 0xa240f074,
+    0x57228957, 0xa23ca95f,
+  0x571deefa, 0xa2386284, 0x57195466, 0xa2341be3, 0x5714b99d, 0xa22fd57b,
+    0x57101e9e, 0xa22b8f4d,
+  0x570b8369, 0xa2274959, 0x5706e7ff, 0xa223039f, 0x57024c5f, 0xa21ebe1f,
+    0x56fdb08a, 0xa21a78d9,
+  0x56f9147e, 0xa21633cd, 0x56f4783d, 0xa211eefb, 0x56efdbc7, 0xa20daa62,
+    0x56eb3f1a, 0xa2096604,
+  0x56e6a239, 0xa20521e0, 0x56e20521, 0xa200ddf5, 0x56dd67d4, 0xa1fc9a45,
+    0x56d8ca51, 0xa1f856ce,
+  0x56d42c99, 0xa1f41392, 0x56cf8eab, 0xa1efd08f, 0x56caf088, 0xa1eb8dc7,
+    0x56c6522f, 0xa1e74b38,
+  0x56c1b3a1, 0xa1e308e4, 0x56bd14dd, 0xa1dec6ca, 0x56b875e4, 0xa1da84e9,
+    0x56b3d6b5, 0xa1d64343,
+  0x56af3750, 0xa1d201d7, 0x56aa97b7, 0xa1cdc0a5, 0x56a5f7e7, 0xa1c97fad,
+    0x56a157e3, 0xa1c53ef0,
+  0x569cb7a8, 0xa1c0fe6c, 0x56981739, 0xa1bcbe22, 0x56937694, 0xa1b87e13,
+    0x568ed5b9, 0xa1b43e3e,
+  0x568a34a9, 0xa1affea3, 0x56859364, 0xa1abbf42, 0x5680f1ea, 0xa1a7801b,
+    0x567c503a, 0xa1a3412f,
+  0x5677ae54, 0xa19f027c, 0x56730c3a, 0xa19ac404, 0x566e69ea, 0xa19685c7,
+    0x5669c765, 0xa19247c3,
+  0x566524aa, 0xa18e09fa, 0x566081ba, 0xa189cc6b, 0x565bde95, 0xa1858f16,
+    0x56573b3b, 0xa18151fb,
+  0x565297ab, 0xa17d151b, 0x564df3e6, 0xa178d875, 0x56494fec, 0xa1749c09,
+    0x5644abbc, 0xa1705fd8,
+  0x56400758, 0xa16c23e1, 0x563b62be, 0xa167e824, 0x5636bdef, 0xa163aca2,
+    0x563218eb, 0xa15f715a,
+  0x562d73b2, 0xa15b364d, 0x5628ce43, 0xa156fb79, 0x5624289f, 0xa152c0e1,
+    0x561f82c7, 0xa14e8682,
+  0x561adcb9, 0xa14a4c5e, 0x56163676, 0xa1461275, 0x56118ffe, 0xa141d8c5,
+    0x560ce950, 0xa13d9f51,
+  0x5608426e, 0xa1396617, 0x56039b57, 0xa1352d17, 0x55fef40a, 0xa130f451,
+    0x55fa4c89, 0xa12cbbc7,
+  0x55f5a4d2, 0xa1288376, 0x55f0fce7, 0xa1244b61, 0x55ec54c6, 0xa1201385,
+    0x55e7ac71, 0xa11bdbe4,
+  0x55e303e6, 0xa117a47e, 0x55de5b27, 0xa1136d52, 0x55d9b232, 0xa10f3661,
+    0x55d50909, 0xa10affab,
+  0x55d05faa, 0xa106c92f, 0x55cbb617, 0xa10292ed, 0x55c70c4f, 0xa0fe5ce6,
+    0x55c26251, 0xa0fa271a,
+  0x55bdb81f, 0xa0f5f189, 0x55b90db8, 0xa0f1bc32, 0x55b4631d, 0xa0ed8715,
+    0x55afb84c, 0xa0e95234,
+  0x55ab0d46, 0xa0e51d8c, 0x55a6620c, 0xa0e0e920, 0x55a1b69d, 0xa0dcb4ee,
+    0x559d0af9, 0xa0d880f7,
+  0x55985f20, 0xa0d44d3b, 0x5593b312, 0xa0d019b9, 0x558f06d0, 0xa0cbe672,
+    0x558a5a58, 0xa0c7b366,
+  0x5585adad, 0xa0c38095, 0x558100cc, 0xa0bf4dfe, 0x557c53b6, 0xa0bb1ba2,
+    0x5577a66c, 0xa0b6e981,
+  0x5572f8ed, 0xa0b2b79b, 0x556e4b39, 0xa0ae85ef, 0x55699d51, 0xa0aa547e,
+    0x5564ef34, 0xa0a62348,
+  0x556040e2, 0xa0a1f24d, 0x555b925c, 0xa09dc18d, 0x5556e3a1, 0xa0999107,
+    0x555234b1, 0xa09560bc,
+  0x554d858d, 0xa09130ad, 0x5548d634, 0xa08d00d8, 0x554426a7, 0xa088d13e,
+    0x553f76e4, 0xa084a1de,
+  0x553ac6ee, 0xa08072ba, 0x553616c2, 0xa07c43d1, 0x55316663, 0xa0781522,
+    0x552cb5ce, 0xa073e6af,
+  0x55280505, 0xa06fb876, 0x55235408, 0xa06b8a78, 0x551ea2d6, 0xa0675cb6,
+    0x5519f16f, 0xa0632f2e,
+  0x55153fd4, 0xa05f01e1, 0x55108e05, 0xa05ad4cf, 0x550bdc01, 0xa056a7f9,
+    0x550729c9, 0xa0527b5d,
+  0x5502775c, 0xa04e4efc, 0x54fdc4ba, 0xa04a22d7, 0x54f911e5, 0xa045f6ec,
+    0x54f45edb, 0xa041cb3c,
+  0x54efab9c, 0xa03d9fc8, 0x54eaf829, 0xa039748e, 0x54e64482, 0xa0354990,
+    0x54e190a6, 0xa0311ecd,
+  0x54dcdc96, 0xa02cf444, 0x54d82852, 0xa028c9f7, 0x54d373d9, 0xa0249fe5,
+    0x54cebf2c, 0xa020760e,
+  0x54ca0a4b, 0xa01c4c73, 0x54c55535, 0xa0182312, 0x54c09feb, 0xa013f9ed,
+    0x54bbea6d, 0xa00fd102,
+  0x54b734ba, 0xa00ba853, 0x54b27ed3, 0xa0077fdf, 0x54adc8b8, 0xa00357a7,
+    0x54a91269, 0x9fff2fa9,
+  0x54a45be6, 0x9ffb07e7, 0x549fa52e, 0x9ff6e060, 0x549aee42, 0x9ff2b914,
+    0x54963722, 0x9fee9204,
+  0x54917fce, 0x9fea6b2f, 0x548cc845, 0x9fe64495, 0x54881089, 0x9fe21e36,
+    0x54835898, 0x9fddf812,
+  0x547ea073, 0x9fd9d22a, 0x5479e81a, 0x9fd5ac7d, 0x54752f8d, 0x9fd1870c,
+    0x547076cc, 0x9fcd61d6,
+  0x546bbdd7, 0x9fc93cdb, 0x546704ae, 0x9fc5181b, 0x54624b50, 0x9fc0f397,
+    0x545d91bf, 0x9fbccf4f,
+  0x5458d7f9, 0x9fb8ab41, 0x54541e00, 0x9fb4876f, 0x544f63d2, 0x9fb063d9,
+    0x544aa971, 0x9fac407e,
+  0x5445eedb, 0x9fa81d5e, 0x54413412, 0x9fa3fa79, 0x543c7914, 0x9f9fd7d1,
+    0x5437bde3, 0x9f9bb563,
+  0x5433027d, 0x9f979331, 0x542e46e4, 0x9f93713b, 0x54298b17, 0x9f8f4f80,
+    0x5424cf16, 0x9f8b2e00,
+  0x542012e1, 0x9f870cbc, 0x541b5678, 0x9f82ebb4, 0x541699db, 0x9f7ecae7,
+    0x5411dd0a, 0x9f7aaa55,
+  0x540d2005, 0x9f7689ff, 0x540862cd, 0x9f7269e5, 0x5403a561, 0x9f6e4a06,
+    0x53fee7c1, 0x9f6a2a63,
+  0x53fa29ed, 0x9f660afb, 0x53f56be5, 0x9f61ebcf, 0x53f0adaa, 0x9f5dccde,
+    0x53ebef3a, 0x9f59ae29,
+  0x53e73097, 0x9f558fb0, 0x53e271c0, 0x9f517173, 0x53ddb2b6, 0x9f4d5371,
+    0x53d8f378, 0x9f4935aa,
+  0x53d43406, 0x9f45181f, 0x53cf7460, 0x9f40fad0, 0x53cab486, 0x9f3cddbd,
+    0x53c5f479, 0x9f38c0e5,
+  0x53c13439, 0x9f34a449, 0x53bc73c4, 0x9f3087e9, 0x53b7b31c, 0x9f2c6bc5,
+    0x53b2f240, 0x9f284fdc,
+  0x53ae3131, 0x9f24342f, 0x53a96fee, 0x9f2018bd, 0x53a4ae77, 0x9f1bfd88,
+    0x539feccd, 0x9f17e28e,
+  0x539b2af0, 0x9f13c7d0, 0x539668de, 0x9f0fad4e, 0x5391a699, 0x9f0b9307,
+    0x538ce421, 0x9f0778fd,
+  0x53882175, 0x9f035f2e, 0x53835e95, 0x9eff459b, 0x537e9b82, 0x9efb2c44,
+    0x5379d83c, 0x9ef71328,
+  0x537514c2, 0x9ef2fa49, 0x53705114, 0x9eeee1a5, 0x536b8d33, 0x9eeac93e,
+    0x5366c91f, 0x9ee6b112,
+  0x536204d7, 0x9ee29922, 0x535d405c, 0x9ede816e, 0x53587bad, 0x9eda69f6,
+    0x5353b6cb, 0x9ed652ba,
+  0x534ef1b5, 0x9ed23bb9, 0x534a2c6c, 0x9ece24f5, 0x534566f0, 0x9eca0e6d,
+    0x5340a140, 0x9ec5f820,
+  0x533bdb5d, 0x9ec1e210, 0x53371547, 0x9ebdcc3b, 0x53324efd, 0x9eb9b6a3,
+    0x532d8880, 0x9eb5a146,
+  0x5328c1d0, 0x9eb18c26, 0x5323faec, 0x9ead7742, 0x531f33d5, 0x9ea96299,
+    0x531a6c8b, 0x9ea54e2d,
+  0x5315a50e, 0x9ea139fd, 0x5310dd5d, 0x9e9d2608, 0x530c1579, 0x9e991250,
+    0x53074d62, 0x9e94fed4,
+  0x53028518, 0x9e90eb94, 0x52fdbc9a, 0x9e8cd890, 0x52f8f3e9, 0x9e88c5c9,
+    0x52f42b05, 0x9e84b33d,
+  0x52ef61ee, 0x9e80a0ee, 0x52ea98a4, 0x9e7c8eda, 0x52e5cf27, 0x9e787d03,
+    0x52e10576, 0x9e746b68,
+  0x52dc3b92, 0x9e705a09, 0x52d7717b, 0x9e6c48e7, 0x52d2a732, 0x9e683800,
+    0x52cddcb5, 0x9e642756,
+  0x52c91204, 0x9e6016e8, 0x52c44721, 0x9e5c06b6, 0x52bf7c0b, 0x9e57f6c0,
+    0x52bab0c2, 0x9e53e707,
+  0x52b5e546, 0x9e4fd78a, 0x52b11996, 0x9e4bc849, 0x52ac4db4, 0x9e47b944,
+    0x52a7819f, 0x9e43aa7c,
+  0x52a2b556, 0x9e3f9bf0, 0x529de8db, 0x9e3b8da0, 0x52991c2d, 0x9e377f8c,
+    0x52944f4c, 0x9e3371b5,
+  0x528f8238, 0x9e2f641b, 0x528ab4f1, 0x9e2b56bc, 0x5285e777, 0x9e27499a,
+    0x528119ca, 0x9e233cb4,
+  0x527c4bea, 0x9e1f300b, 0x52777dd7, 0x9e1b239e, 0x5272af92, 0x9e17176d,
+    0x526de11a, 0x9e130b79,
+  0x5269126e, 0x9e0effc1, 0x52644390, 0x9e0af446, 0x525f7480, 0x9e06e907,
+    0x525aa53c, 0x9e02de04,
+  0x5255d5c5, 0x9dfed33e, 0x5251061c, 0x9dfac8b4, 0x524c3640, 0x9df6be67,
+    0x52476631, 0x9df2b456,
+  0x524295f0, 0x9deeaa82, 0x523dc57b, 0x9deaa0ea, 0x5238f4d4, 0x9de6978f,
+    0x523423fb, 0x9de28e70,
+  0x522f52ee, 0x9dde858e, 0x522a81af, 0x9dda7ce9, 0x5225b03d, 0x9dd6747f,
+    0x5220de99, 0x9dd26c53,
+  0x521c0cc2, 0x9dce6463, 0x52173ab8, 0x9dca5caf, 0x5212687b, 0x9dc65539,
+    0x520d960c, 0x9dc24dfe,
+  0x5208c36a, 0x9dbe4701, 0x5203f096, 0x9dba4040, 0x51ff1d8f, 0x9db639bb,
+    0x51fa4a56, 0x9db23373,
+  0x51f576ea, 0x9dae2d68, 0x51f0a34b, 0x9daa279a, 0x51ebcf7a, 0x9da62208,
+    0x51e6fb76, 0x9da21cb2,
+  0x51e22740, 0x9d9e179a, 0x51dd52d7, 0x9d9a12be, 0x51d87e3c, 0x9d960e1f,
+    0x51d3a96f, 0x9d9209bd,
+  0x51ced46e, 0x9d8e0597, 0x51c9ff3c, 0x9d8a01ae, 0x51c529d7, 0x9d85fe02,
+    0x51c0543f, 0x9d81fa92,
+  0x51bb7e75, 0x9d7df75f, 0x51b6a879, 0x9d79f469, 0x51b1d24a, 0x9d75f1b0,
+    0x51acfbe9, 0x9d71ef34,
+  0x51a82555, 0x9d6decf4, 0x51a34e8f, 0x9d69eaf1, 0x519e7797, 0x9d65e92b,
+    0x5199a06d, 0x9d61e7a2,
+  0x5194c910, 0x9d5de656, 0x518ff180, 0x9d59e546, 0x518b19bf, 0x9d55e473,
+    0x518641cb, 0x9d51e3dd,
+  0x518169a5, 0x9d4de385, 0x517c914c, 0x9d49e368, 0x5177b8c2, 0x9d45e389,
+    0x5172e005, 0x9d41e3e7,
+  0x516e0715, 0x9d3de482, 0x51692df4, 0x9d39e559, 0x516454a0, 0x9d35e66e,
+    0x515f7b1a, 0x9d31e7bf,
+  0x515aa162, 0x9d2de94d, 0x5155c778, 0x9d29eb19, 0x5150ed5c, 0x9d25ed21,
+    0x514c130d, 0x9d21ef66,
+  0x5147388c, 0x9d1df1e9, 0x51425dd9, 0x9d19f4a8, 0x513d82f4, 0x9d15f7a4,
+    0x5138a7dd, 0x9d11fadd,
+  0x5133cc94, 0x9d0dfe54, 0x512ef119, 0x9d0a0207, 0x512a156b, 0x9d0605f7,
+    0x5125398c, 0x9d020a25,
+  0x51205d7b, 0x9cfe0e8f, 0x511b8137, 0x9cfa1337, 0x5116a4c1, 0x9cf6181c,
+    0x5111c81a, 0x9cf21d3d,
+  0x510ceb40, 0x9cee229c, 0x51080e35, 0x9cea2838, 0x510330f7, 0x9ce62e11,
+    0x50fe5388, 0x9ce23427,
+  0x50f975e6, 0x9cde3a7b, 0x50f49813, 0x9cda410b, 0x50efba0d, 0x9cd647d9,
+    0x50eadbd6, 0x9cd24ee4,
+  0x50e5fd6d, 0x9cce562c, 0x50e11ed2, 0x9cca5db1, 0x50dc4005, 0x9cc66573,
+    0x50d76106, 0x9cc26d73,
+  0x50d281d5, 0x9cbe75b0, 0x50cda272, 0x9cba7e2a, 0x50c8c2de, 0x9cb686e1,
+    0x50c3e317, 0x9cb28fd5,
+  0x50bf031f, 0x9cae9907, 0x50ba22f5, 0x9caaa276, 0x50b5429a, 0x9ca6ac23,
+    0x50b0620c, 0x9ca2b60c,
+  0x50ab814d, 0x9c9ec033, 0x50a6a05c, 0x9c9aca97, 0x50a1bf39, 0x9c96d539,
+    0x509cdde4, 0x9c92e017,
+  0x5097fc5e, 0x9c8eeb34, 0x50931aa6, 0x9c8af68d, 0x508e38bd, 0x9c870224,
+    0x508956a1, 0x9c830df8,
+  0x50847454, 0x9c7f1a0a, 0x507f91d5, 0x9c7b2659, 0x507aaf25, 0x9c7732e5,
+    0x5075cc43, 0x9c733faf,
+  0x5070e92f, 0x9c6f4cb6, 0x506c05ea, 0x9c6b59fa, 0x50672273, 0x9c67677c,
+    0x50623ecb, 0x9c63753c,
+  0x505d5af1, 0x9c5f8339, 0x505876e5, 0x9c5b9173, 0x505392a8, 0x9c579feb,
+    0x504eae39, 0x9c53aea0,
+  0x5049c999, 0x9c4fbd93, 0x5044e4c7, 0x9c4bccc3, 0x503fffc4, 0x9c47dc31,
+    0x503b1a8f, 0x9c43ebdc,
+  0x50363529, 0x9c3ffbc5, 0x50314f91, 0x9c3c0beb, 0x502c69c8, 0x9c381c4f,
+    0x502783cd, 0x9c342cf0,
+  0x50229da1, 0x9c303dcf, 0x501db743, 0x9c2c4eec, 0x5018d0b4, 0x9c286046,
+    0x5013e9f4, 0x9c2471de,
+  0x500f0302, 0x9c2083b3, 0x500a1bdf, 0x9c1c95c6, 0x5005348a, 0x9c18a816,
+    0x50004d04, 0x9c14baa4,
+  0x4ffb654d, 0x9c10cd70, 0x4ff67d64, 0x9c0ce07a, 0x4ff1954b, 0x9c08f3c1,
+    0x4fecacff, 0x9c050745,
+  0x4fe7c483, 0x9c011b08, 0x4fe2dbd5, 0x9bfd2f08, 0x4fddf2f6, 0x9bf94346,
+    0x4fd909e5, 0x9bf557c1,
+  0x4fd420a4, 0x9bf16c7a, 0x4fcf3731, 0x9bed8171, 0x4fca4d8d, 0x9be996a6,
+    0x4fc563b7, 0x9be5ac18,
+  0x4fc079b1, 0x9be1c1c8, 0x4fbb8f79, 0x9bddd7b6, 0x4fb6a510, 0x9bd9ede2,
+    0x4fb1ba76, 0x9bd6044b,
+  0x4faccfab, 0x9bd21af3, 0x4fa7e4af, 0x9bce31d8, 0x4fa2f981, 0x9bca48fa,
+    0x4f9e0e22, 0x9bc6605b,
+  0x4f992293, 0x9bc277fa, 0x4f9436d2, 0x9bbe8fd6, 0x4f8f4ae0, 0x9bbaa7f0,
+    0x4f8a5ebd, 0x9bb6c048,
+  0x4f857269, 0x9bb2d8de, 0x4f8085e4, 0x9baef1b2, 0x4f7b992d, 0x9bab0ac3,
+    0x4f76ac46, 0x9ba72413,
+  0x4f71bf2e, 0x9ba33da0, 0x4f6cd1e5, 0x9b9f576b, 0x4f67e46a, 0x9b9b7174,
+    0x4f62f6bf, 0x9b978bbc,
+  0x4f5e08e3, 0x9b93a641, 0x4f591ad6, 0x9b8fc104, 0x4f542c98, 0x9b8bdc05,
+    0x4f4f3e29, 0x9b87f744,
+  0x4f4a4f89, 0x9b8412c1, 0x4f4560b8, 0x9b802e7b, 0x4f4071b6, 0x9b7c4a74,
+    0x4f3b8284, 0x9b7866ab,
+  0x4f369320, 0x9b748320, 0x4f31a38c, 0x9b709fd3, 0x4f2cb3c7, 0x9b6cbcc4,
+    0x4f27c3d1, 0x9b68d9f3,
+  0x4f22d3aa, 0x9b64f760, 0x4f1de352, 0x9b61150b, 0x4f18f2c9, 0x9b5d32f4,
+    0x4f140210, 0x9b59511c,
+  0x4f0f1126, 0x9b556f81, 0x4f0a200b, 0x9b518e24, 0x4f052ec0, 0x9b4dad06,
+    0x4f003d43, 0x9b49cc26,
+  0x4efb4b96, 0x9b45eb83, 0x4ef659b8, 0x9b420b1f, 0x4ef167aa, 0x9b3e2af9,
+    0x4eec756b, 0x9b3a4b11,
+  0x4ee782fb, 0x9b366b68, 0x4ee2905a, 0x9b328bfc, 0x4edd9d89, 0x9b2eaccf,
+    0x4ed8aa87, 0x9b2acde0,
+  0x4ed3b755, 0x9b26ef2f, 0x4ecec3f2, 0x9b2310bc, 0x4ec9d05e, 0x9b1f3288,
+    0x4ec4dc99, 0x9b1b5492,
+  0x4ebfe8a5, 0x9b1776da, 0x4ebaf47f, 0x9b139960, 0x4eb60029, 0x9b0fbc24,
+    0x4eb10ba2, 0x9b0bdf27,
+  0x4eac16eb, 0x9b080268, 0x4ea72203, 0x9b0425e8, 0x4ea22ceb, 0x9b0049a5,
+    0x4e9d37a3, 0x9afc6da1,
+  0x4e984229, 0x9af891db, 0x4e934c80, 0x9af4b654, 0x4e8e56a5, 0x9af0db0b,
+    0x4e89609b, 0x9aed0000,
+  0x4e846a60, 0x9ae92533, 0x4e7f73f4, 0x9ae54aa5, 0x4e7a7d58, 0x9ae17056,
+    0x4e75868c, 0x9add9644,
+  0x4e708f8f, 0x9ad9bc71, 0x4e6b9862, 0x9ad5e2dd, 0x4e66a105, 0x9ad20987,
+    0x4e61a977, 0x9ace306f,
+  0x4e5cb1b9, 0x9aca5795, 0x4e57b9ca, 0x9ac67efb, 0x4e52c1ab, 0x9ac2a69e,
+    0x4e4dc95c, 0x9abece80,
+  0x4e48d0dd, 0x9abaf6a1, 0x4e43d82d, 0x9ab71eff, 0x4e3edf4d, 0x9ab3479d,
+    0x4e39e63d, 0x9aaf7079,
+  0x4e34ecfc, 0x9aab9993, 0x4e2ff38b, 0x9aa7c2ec, 0x4e2af9ea, 0x9aa3ec83,
+    0x4e260019, 0x9aa01659,
+  0x4e210617, 0x9a9c406e, 0x4e1c0be6, 0x9a986ac1, 0x4e171184, 0x9a949552,
+    0x4e1216f2, 0x9a90c022,
+  0x4e0d1c30, 0x9a8ceb31, 0x4e08213e, 0x9a89167e, 0x4e03261b, 0x9a85420a,
+    0x4dfe2ac9, 0x9a816dd5,
+  0x4df92f46, 0x9a7d99de, 0x4df43393, 0x9a79c625, 0x4def37b0, 0x9a75f2ac,
+    0x4dea3b9d, 0x9a721f71,
+  0x4de53f5a, 0x9a6e4c74, 0x4de042e7, 0x9a6a79b6, 0x4ddb4644, 0x9a66a737,
+    0x4dd64971, 0x9a62d4f7,
+  0x4dd14c6e, 0x9a5f02f5, 0x4dcc4f3b, 0x9a5b3132, 0x4dc751d8, 0x9a575fae,
+    0x4dc25445, 0x9a538e68,
+  0x4dbd5682, 0x9a4fbd61, 0x4db8588f, 0x9a4bec99, 0x4db35a6c, 0x9a481c0f,
+    0x4dae5c19, 0x9a444bc5,
+  0x4da95d96, 0x9a407bb9, 0x4da45ee3, 0x9a3cabeb, 0x4d9f6001, 0x9a38dc5d,
+    0x4d9a60ee, 0x9a350d0d,
+  0x4d9561ac, 0x9a313dfc, 0x4d90623a, 0x9a2d6f2a, 0x4d8b6298, 0x9a29a097,
+    0x4d8662c6, 0x9a25d243,
+  0x4d8162c4, 0x9a22042d, 0x4d7c6293, 0x9a1e3656, 0x4d776231, 0x9a1a68be,
+    0x4d7261a0, 0x9a169b65,
+  0x4d6d60df, 0x9a12ce4b, 0x4d685fef, 0x9a0f016f, 0x4d635ece, 0x9a0b34d3,
+    0x4d5e5d7e, 0x9a076875,
+  0x4d595bfe, 0x9a039c57, 0x4d545a4f, 0x99ffd077, 0x4d4f5870, 0x99fc04d6,
+    0x4d4a5661, 0x99f83974,
+  0x4d455422, 0x99f46e51, 0x4d4051b4, 0x99f0a36d, 0x4d3b4f16, 0x99ecd8c8,
+    0x4d364c48, 0x99e90e62,
+  0x4d31494b, 0x99e5443b, 0x4d2c461e, 0x99e17a53, 0x4d2742c2, 0x99ddb0aa,
+    0x4d223f36, 0x99d9e73f,
+  0x4d1d3b7a, 0x99d61e14, 0x4d18378f, 0x99d25528, 0x4d133374, 0x99ce8c7b,
+    0x4d0e2f2a, 0x99cac40d,
+  0x4d092ab0, 0x99c6fbde, 0x4d042607, 0x99c333ee, 0x4cff212e, 0x99bf6c3d,
+    0x4cfa1c26, 0x99bba4cb,
+  0x4cf516ee, 0x99b7dd99, 0x4cf01187, 0x99b416a5, 0x4ceb0bf0, 0x99b04ff0,
+    0x4ce6062a, 0x99ac897b,
+  0x4ce10034, 0x99a8c345, 0x4cdbfa0f, 0x99a4fd4d, 0x4cd6f3bb, 0x99a13795,
+    0x4cd1ed37, 0x999d721c,
+  0x4ccce684, 0x9999ace3, 0x4cc7dfa1, 0x9995e7e8, 0x4cc2d88f, 0x9992232d,
+    0x4cbdd14e, 0x998e5eb1,
+  0x4cb8c9dd, 0x998a9a74, 0x4cb3c23d, 0x9986d676, 0x4caeba6e, 0x998312b7,
+    0x4ca9b26f, 0x997f4f38,
+  0x4ca4aa41, 0x997b8bf8, 0x4c9fa1e4, 0x9977c8f7, 0x4c9a9958, 0x99740635,
+    0x4c95909c, 0x997043b2,
+  0x4c9087b1, 0x996c816f, 0x4c8b7e97, 0x9968bf6b, 0x4c86754e, 0x9964fda7,
+    0x4c816bd5, 0x99613c22,
+  0x4c7c622d, 0x995d7adc, 0x4c775856, 0x9959b9d5, 0x4c724e50, 0x9955f90d,
+    0x4c6d441b, 0x99523885,
+  0x4c6839b7, 0x994e783d, 0x4c632f23, 0x994ab833, 0x4c5e2460, 0x9946f869,
+    0x4c59196f, 0x994338df,
+  0x4c540e4e, 0x993f7993, 0x4c4f02fe, 0x993bba87, 0x4c49f77f, 0x9937fbbb,
+    0x4c44ebd1, 0x99343d2e,
+  0x4c3fdff4, 0x99307ee0, 0x4c3ad3e7, 0x992cc0d2, 0x4c35c7ac, 0x99290303,
+    0x4c30bb42, 0x99254574,
+  0x4c2baea9, 0x99218824, 0x4c26a1e1, 0x991dcb13, 0x4c2194e9, 0x991a0e42,
+    0x4c1c87c3, 0x991651b1,
+  0x4c177a6e, 0x9912955f, 0x4c126cea, 0x990ed94c, 0x4c0d5f37, 0x990b1d79,
+    0x4c085156, 0x990761e5,
+  0x4c034345, 0x9903a691, 0x4bfe3505, 0x98ffeb7d, 0x4bf92697, 0x98fc30a8,
+    0x4bf417f9, 0x98f87612,
+  0x4bef092d, 0x98f4bbbc, 0x4be9fa32, 0x98f101a6, 0x4be4eb08, 0x98ed47cf,
+    0x4bdfdbaf, 0x98e98e38,
+  0x4bdacc28, 0x98e5d4e0, 0x4bd5bc72, 0x98e21bc8, 0x4bd0ac8d, 0x98de62f0,
+    0x4bcb9c79, 0x98daaa57,
+  0x4bc68c36, 0x98d6f1fe, 0x4bc17bc5, 0x98d339e4, 0x4bbc6b25, 0x98cf820b,
+    0x4bb75a56, 0x98cbca70,
+  0x4bb24958, 0x98c81316, 0x4bad382c, 0x98c45bfb, 0x4ba826d1, 0x98c0a520,
+    0x4ba31548, 0x98bcee84,
+  0x4b9e0390, 0x98b93828, 0x4b98f1a9, 0x98b5820c, 0x4b93df93, 0x98b1cc30,
+    0x4b8ecd4f, 0x98ae1693,
+  0x4b89badd, 0x98aa6136, 0x4b84a83b, 0x98a6ac19, 0x4b7f956b, 0x98a2f73c,
+    0x4b7a826d, 0x989f429e,
+  0x4b756f40, 0x989b8e40, 0x4b705be4, 0x9897da22, 0x4b6b485a, 0x98942643,
+    0x4b6634a2, 0x989072a5,
+  0x4b6120bb, 0x988cbf46, 0x4b5c0ca5, 0x98890c27, 0x4b56f861, 0x98855948,
+    0x4b51e3ee, 0x9881a6a9,
+  0x4b4ccf4d, 0x987df449, 0x4b47ba7e, 0x987a422a, 0x4b42a580, 0x9876904a,
+    0x4b3d9053, 0x9872deaa,
+  0x4b387af9, 0x986f2d4a, 0x4b336570, 0x986b7c2a, 0x4b2e4fb8, 0x9867cb4a,
+    0x4b2939d2, 0x98641aa9,
+  0x4b2423be, 0x98606a49, 0x4b1f0d7b, 0x985cba28, 0x4b19f70a, 0x98590a48,
+    0x4b14e06b, 0x98555aa7,
+  0x4b0fc99d, 0x9851ab46, 0x4b0ab2a1, 0x984dfc26, 0x4b059b77, 0x984a4d45,
+    0x4b00841f, 0x98469ea4,
+  0x4afb6c98, 0x9842f043, 0x4af654e3, 0x983f4223, 0x4af13d00, 0x983b9442,
+    0x4aec24ee, 0x9837e6a1,
+  0x4ae70caf, 0x98343940, 0x4ae1f441, 0x98308c1f, 0x4adcdba5, 0x982cdf3f,
+    0x4ad7c2da, 0x9829329e,
+  0x4ad2a9e2, 0x9825863d, 0x4acd90bb, 0x9821da1d, 0x4ac87767, 0x981e2e3c,
+    0x4ac35de4, 0x981a829c,
+  0x4abe4433, 0x9816d73b, 0x4ab92a54, 0x98132c1b, 0x4ab41046, 0x980f813b,
+    0x4aaef60b, 0x980bd69b,
+  0x4aa9dba2, 0x98082c3b, 0x4aa4c10b, 0x9804821b, 0x4a9fa645, 0x9800d83c,
+    0x4a9a8b52, 0x97fd2e9c,
+  0x4a957030, 0x97f9853d, 0x4a9054e1, 0x97f5dc1e, 0x4a8b3963, 0x97f2333f,
+    0x4a861db8, 0x97ee8aa0,
+  0x4a8101de, 0x97eae242, 0x4a7be5d7, 0x97e73a23, 0x4a76c9a2, 0x97e39245,
+    0x4a71ad3e, 0x97dfeaa7,
+  0x4a6c90ad, 0x97dc4349, 0x4a6773ee, 0x97d89c2c, 0x4a625701, 0x97d4f54f,
+    0x4a5d39e6, 0x97d14eb2,
+  0x4a581c9e, 0x97cda855, 0x4a52ff27, 0x97ca0239, 0x4a4de182, 0x97c65c5c,
+    0x4a48c3b0, 0x97c2b6c1,
+  0x4a43a5b0, 0x97bf1165, 0x4a3e8782, 0x97bb6c4a, 0x4a396926, 0x97b7c76f,
+    0x4a344a9d, 0x97b422d4,
+  0x4a2f2be6, 0x97b07e7a, 0x4a2a0d01, 0x97acda60, 0x4a24edee, 0x97a93687,
+    0x4a1fcead, 0x97a592ed,
+  0x4a1aaf3f, 0x97a1ef94, 0x4a158fa3, 0x979e4c7c, 0x4a106fda, 0x979aa9a4,
+    0x4a0b4fe2, 0x9797070c,
+  0x4a062fbd, 0x979364b5, 0x4a010f6b, 0x978fc29e, 0x49fbeeea, 0x978c20c8,
+    0x49f6ce3c, 0x97887f32,
+  0x49f1ad61, 0x9784dddc, 0x49ec8c57, 0x97813cc7, 0x49e76b21, 0x977d9bf2,
+    0x49e249bc, 0x9779fb5e,
+  0x49dd282a, 0x97765b0a, 0x49d8066b, 0x9772baf7, 0x49d2e47e, 0x976f1b24,
+    0x49cdc263, 0x976b7b92,
+  0x49c8a01b, 0x9767dc41, 0x49c37da5, 0x97643d2f, 0x49be5b02, 0x97609e5f,
+    0x49b93832, 0x975cffcf,
+  0x49b41533, 0x9759617f, 0x49aef208, 0x9755c370, 0x49a9ceaf, 0x975225a1,
+    0x49a4ab28, 0x974e8813,
+  0x499f8774, 0x974aeac6, 0x499a6393, 0x97474db9, 0x49953f84, 0x9743b0ed,
+    0x49901b48, 0x97401462,
+  0x498af6df, 0x973c7817, 0x4985d248, 0x9738dc0d, 0x4980ad84, 0x97354043,
+    0x497b8892, 0x9731a4ba,
+  0x49766373, 0x972e0971, 0x49713e27, 0x972a6e6a, 0x496c18ae, 0x9726d3a3,
+    0x4966f307, 0x9723391c,
+  0x4961cd33, 0x971f9ed7, 0x495ca732, 0x971c04d2, 0x49578103, 0x97186b0d,
+    0x49525aa7, 0x9714d18a,
+  0x494d341e, 0x97113847, 0x49480d68, 0x970d9f45, 0x4942e684, 0x970a0683,
+    0x493dbf74, 0x97066e03,
+  0x49389836, 0x9702d5c3, 0x493370cb, 0x96ff3dc4, 0x492e4933, 0x96fba605,
+    0x4929216e, 0x96f80e88,
+  0x4923f97b, 0x96f4774b, 0x491ed15c, 0x96f0e04f, 0x4919a90f, 0x96ed4994,
+    0x49148095, 0x96e9b319,
+  0x490f57ee, 0x96e61ce0, 0x490a2f1b, 0x96e286e7, 0x4905061a, 0x96def12f,
+    0x48ffdcec, 0x96db5bb8,
+  0x48fab391, 0x96d7c682, 0x48f58a09, 0x96d4318d, 0x48f06054, 0x96d09cd8,
+    0x48eb3672, 0x96cd0865,
+  0x48e60c62, 0x96c97432, 0x48e0e227, 0x96c5e040, 0x48dbb7be, 0x96c24c8f,
+    0x48d68d28, 0x96beb91f,
+  0x48d16265, 0x96bb25f0, 0x48cc3775, 0x96b79302, 0x48c70c59, 0x96b40055,
+    0x48c1e10f, 0x96b06de9,
+  0x48bcb599, 0x96acdbbe, 0x48b789f5, 0x96a949d3, 0x48b25e25, 0x96a5b82a,
+    0x48ad3228, 0x96a226c2,
+  0x48a805ff, 0x969e959b, 0x48a2d9a8, 0x969b04b4, 0x489dad25, 0x9697740f,
+    0x48988074, 0x9693e3ab,
+  0x48935397, 0x96905388, 0x488e268e, 0x968cc3a5, 0x4888f957, 0x96893404,
+    0x4883cbf4, 0x9685a4a4,
+  0x487e9e64, 0x96821585, 0x487970a7, 0x967e86a7, 0x487442be, 0x967af80a,
+    0x486f14a8, 0x967769af,
+  0x4869e665, 0x9673db94, 0x4864b7f5, 0x96704dba, 0x485f8959, 0x966cc022,
+    0x485a5a90, 0x966932cb,
+  0x48552b9b, 0x9665a5b4, 0x484ffc79, 0x966218df, 0x484acd2a, 0x965e8c4b,
+    0x48459daf, 0x965afff9,
+  0x48406e08, 0x965773e7, 0x483b3e33, 0x9653e817, 0x48360e32, 0x96505c88,
+    0x4830de05, 0x964cd139,
+  0x482badab, 0x9649462d, 0x48267d24, 0x9645bb61, 0x48214c71, 0x964230d7,
+    0x481c1b92, 0x963ea68d,
+  0x4816ea86, 0x963b1c86, 0x4811b94d, 0x963792bf, 0x480c87e8, 0x96340939,
+    0x48075657, 0x96307ff5,
+  0x48022499, 0x962cf6f2, 0x47fcf2af, 0x96296e31, 0x47f7c099, 0x9625e5b0,
+    0x47f28e56, 0x96225d71,
+  0x47ed5be6, 0x961ed574, 0x47e8294a, 0x961b4db7, 0x47e2f682, 0x9617c63c,
+    0x47ddc38e, 0x96143f02,
+  0x47d8906d, 0x9610b80a, 0x47d35d20, 0x960d3153, 0x47ce29a7, 0x9609aadd,
+    0x47c8f601, 0x960624a9,
+  0x47c3c22f, 0x96029eb6, 0x47be8e31, 0x95ff1904, 0x47b95a06, 0x95fb9394,
+    0x47b425af, 0x95f80e65,
+  0x47aef12c, 0x95f48977, 0x47a9bc7d, 0x95f104cb, 0x47a487a2, 0x95ed8061,
+    0x479f529a, 0x95e9fc38,
+  0x479a1d67, 0x95e67850, 0x4794e807, 0x95e2f4a9, 0x478fb27b, 0x95df7145,
+    0x478a7cc2, 0x95dbee21,
+  0x478546de, 0x95d86b3f, 0x478010cd, 0x95d4e89f, 0x477ada91, 0x95d16640,
+    0x4775a428, 0x95cde423,
+  0x47706d93, 0x95ca6247, 0x476b36d3, 0x95c6e0ac, 0x4765ffe6, 0x95c35f53,
+    0x4760c8cd, 0x95bfde3c,
+  0x475b9188, 0x95bc5d66, 0x47565a17, 0x95b8dcd2, 0x4751227a, 0x95b55c7f,
+    0x474beab1, 0x95b1dc6e,
+  0x4746b2bc, 0x95ae5c9f, 0x47417a9b, 0x95aadd11, 0x473c424e, 0x95a75dc4,
+    0x473709d5, 0x95a3deb9,
+  0x4731d131, 0x95a05ff0, 0x472c9860, 0x959ce169, 0x47275f63, 0x95996323,
+    0x4722263b, 0x9595e51e,
+  0x471cece7, 0x9592675c, 0x4717b367, 0x958ee9db, 0x471279ba, 0x958b6c9b,
+    0x470d3fe3, 0x9587ef9e,
+  0x470805df, 0x958472e2, 0x4702cbaf, 0x9580f667, 0x46fd9154, 0x957d7a2f,
+    0x46f856cd, 0x9579fe38,
+  0x46f31c1a, 0x95768283, 0x46ede13b, 0x9573070f, 0x46e8a631, 0x956f8bdd,
+    0x46e36afb, 0x956c10ed,
+  0x46de2f99, 0x9568963f, 0x46d8f40b, 0x95651bd2, 0x46d3b852, 0x9561a1a8,
+    0x46ce7c6d, 0x955e27bf,
+  0x46c9405c, 0x955aae17, 0x46c40420, 0x955734b2, 0x46bec7b8, 0x9553bb8e,
+    0x46b98b24, 0x955042ac,
+  0x46b44e65, 0x954cca0c, 0x46af117a, 0x954951ae, 0x46a9d464, 0x9545d992,
+    0x46a49722, 0x954261b7,
+  0x469f59b4, 0x953eea1e, 0x469a1c1b, 0x953b72c7, 0x4694de56, 0x9537fbb2,
+    0x468fa066, 0x953484df,
+  0x468a624a, 0x95310e4e, 0x46852403, 0x952d97fe, 0x467fe590, 0x952a21f1,
+    0x467aa6f2, 0x9526ac25,
+  0x46756828, 0x9523369c, 0x46702933, 0x951fc154, 0x466aea12, 0x951c4c4e,
+    0x4665aac6, 0x9518d78a,
+  0x46606b4e, 0x95156308, 0x465b2bab, 0x9511eec8, 0x4655ebdd, 0x950e7aca,
+    0x4650abe3, 0x950b070e,
+  0x464b6bbe, 0x95079394, 0x46462b6d, 0x9504205c, 0x4640eaf2, 0x9500ad66,
+    0x463baa4a, 0x94fd3ab1,
+  0x46366978, 0x94f9c83f, 0x4631287a, 0x94f6560f, 0x462be751, 0x94f2e421,
+    0x4626a5fd, 0x94ef7275,
+  0x4621647d, 0x94ec010b, 0x461c22d2, 0x94e88fe3, 0x4616e0fc, 0x94e51efd,
+    0x46119efa, 0x94e1ae59,
+  0x460c5cce, 0x94de3df8, 0x46071a76, 0x94dacdd8, 0x4601d7f3, 0x94d75dfa,
+    0x45fc9545, 0x94d3ee5f,
+  0x45f7526b, 0x94d07f05, 0x45f20f67, 0x94cd0fee, 0x45eccc37, 0x94c9a119,
+    0x45e788dc, 0x94c63286,
+  0x45e24556, 0x94c2c435, 0x45dd01a5, 0x94bf5627, 0x45d7bdc9, 0x94bbe85a,
+    0x45d279c2, 0x94b87ad0,
+  0x45cd358f, 0x94b50d87, 0x45c7f132, 0x94b1a081, 0x45c2acaa, 0x94ae33be,
+    0x45bd67f6, 0x94aac73c,
+  0x45b82318, 0x94a75afd, 0x45b2de0e, 0x94a3eeff, 0x45ad98da, 0x94a08344,
+    0x45a8537a, 0x949d17cc,
+  0x45a30df0, 0x9499ac95, 0x459dc83b, 0x949641a1, 0x4598825a, 0x9492d6ef,
+    0x45933c4f, 0x948f6c7f,
+  0x458df619, 0x948c0252, 0x4588afb8, 0x94889867, 0x4583692c, 0x94852ebe,
+    0x457e2275, 0x9481c557,
+  0x4578db93, 0x947e5c33, 0x45739487, 0x947af351, 0x456e4d4f, 0x94778ab1,
+    0x456905ed, 0x94742254,
+  0x4563be60, 0x9470ba39, 0x455e76a8, 0x946d5260, 0x45592ec6, 0x9469eaca,
+    0x4553e6b8, 0x94668376,
+  0x454e9e80, 0x94631c65, 0x4549561d, 0x945fb596, 0x45440d90, 0x945c4f09,
+    0x453ec4d7, 0x9458e8bf,
+  0x45397bf4, 0x945582b7, 0x453432e6, 0x94521cf1, 0x452ee9ae, 0x944eb76e,
+    0x4529a04b, 0x944b522d,
+  0x452456bd, 0x9447ed2f, 0x451f0d04, 0x94448873, 0x4519c321, 0x944123fa,
+    0x45147913, 0x943dbfc3,
+  0x450f2edb, 0x943a5bcf, 0x4509e478, 0x9436f81d, 0x450499eb, 0x943394ad,
+    0x44ff4f32, 0x94303180,
+  0x44fa0450, 0x942cce96, 0x44f4b943, 0x94296bee, 0x44ef6e0b, 0x94260989,
+    0x44ea22a9, 0x9422a766,
+  0x44e4d71c, 0x941f4585, 0x44df8b64, 0x941be3e8, 0x44da3f83, 0x9418828c,
+    0x44d4f376, 0x94152174,
+  0x44cfa740, 0x9411c09e, 0x44ca5adf, 0x940e600a, 0x44c50e53, 0x940affb9,
+    0x44bfc19d, 0x94079fab,
+  0x44ba74bd, 0x94043fdf, 0x44b527b2, 0x9400e056, 0x44afda7d, 0x93fd810f,
+    0x44aa8d1d, 0x93fa220b,
+  0x44a53f93, 0x93f6c34a, 0x449ff1df, 0x93f364cb, 0x449aa400, 0x93f0068f,
+    0x449555f7, 0x93eca896,
+  0x449007c4, 0x93e94adf, 0x448ab967, 0x93e5ed6b, 0x44856adf, 0x93e2903a,
+    0x44801c2d, 0x93df334c,
+  0x447acd50, 0x93dbd6a0, 0x44757e4a, 0x93d87a36, 0x44702f19, 0x93d51e10,
+    0x446adfbe, 0x93d1c22c,
+  0x44659039, 0x93ce668b, 0x44604089, 0x93cb0b2d, 0x445af0b0, 0x93c7b011,
+    0x4455a0ac, 0x93c45539,
+  0x4450507e, 0x93c0faa3, 0x444b0026, 0x93bda04f, 0x4445afa4, 0x93ba463f,
+    0x44405ef8, 0x93b6ec71,
+  0x443b0e21, 0x93b392e6, 0x4435bd21, 0x93b0399e, 0x44306bf6, 0x93ace099,
+    0x442b1aa2, 0x93a987d6,
+  0x4425c923, 0x93a62f57, 0x4420777b, 0x93a2d71a, 0x441b25a8, 0x939f7f20,
+    0x4415d3ab, 0x939c2769,
+  0x44108184, 0x9398cff5, 0x440b2f34, 0x939578c3, 0x4405dcb9, 0x939221d5,
+    0x44008a14, 0x938ecb29,
+  0x43fb3746, 0x938b74c1, 0x43f5e44d, 0x93881e9b, 0x43f0912b, 0x9384c8b8,
+    0x43eb3ddf, 0x93817318,
+  0x43e5ea68, 0x937e1dbb, 0x43e096c8, 0x937ac8a1, 0x43db42fe, 0x937773ca,
+    0x43d5ef0a, 0x93741f35,
+  0x43d09aed, 0x9370cae4, 0x43cb46a5, 0x936d76d6, 0x43c5f234, 0x936a230a,
+    0x43c09d99, 0x9366cf82,
+  0x43bb48d4, 0x93637c3d, 0x43b5f3e5, 0x9360293a, 0x43b09ecc, 0x935cd67b,
+    0x43ab498a, 0x935983ff,
+  0x43a5f41e, 0x935631c5, 0x43a09e89, 0x9352dfcf, 0x439b48c9, 0x934f8e1c,
+    0x4395f2e0, 0x934c3cab,
+  0x43909ccd, 0x9348eb7e, 0x438b4691, 0x93459a94, 0x4385f02a, 0x934249ed,
+    0x4380999b, 0x933ef989,
+  0x437b42e1, 0x933ba968, 0x4375ebfe, 0x9338598a, 0x437094f1, 0x933509f0,
+    0x436b3dbb, 0x9331ba98,
+  0x4365e65b, 0x932e6b84, 0x43608ed2, 0x932b1cb2, 0x435b371f, 0x9327ce24,
+    0x4355df42, 0x93247fd9,
+  0x4350873c, 0x932131d1, 0x434b2f0c, 0x931de40c, 0x4345d6b3, 0x931a968b,
+    0x43407e31, 0x9317494c,
+  0x433b2585, 0x9313fc51, 0x4335ccaf, 0x9310af99, 0x433073b0, 0x930d6324,
+    0x432b1a87, 0x930a16f3,
+  0x4325c135, 0x9306cb04, 0x432067ba, 0x93037f59, 0x431b0e15, 0x930033f1,
+    0x4315b447, 0x92fce8cc,
+  0x43105a50, 0x92f99deb, 0x430b002f, 0x92f6534c, 0x4305a5e5, 0x92f308f1,
+    0x43004b71, 0x92efbeda,
+  0x42faf0d4, 0x92ec7505, 0x42f5960e, 0x92e92b74, 0x42f03b1e, 0x92e5e226,
+    0x42eae005, 0x92e2991c,
+  0x42e584c3, 0x92df5054, 0x42e02958, 0x92dc07d0, 0x42dacdc3, 0x92d8bf90,
+    0x42d57205, 0x92d57792,
+  0x42d0161e, 0x92d22fd9, 0x42caba0e, 0x92cee862, 0x42c55dd4, 0x92cba12f,
+    0x42c00172, 0x92c85a3f,
+  0x42baa4e6, 0x92c51392, 0x42b54831, 0x92c1cd29, 0x42afeb53, 0x92be8703,
+    0x42aa8e4b, 0x92bb4121,
+  0x42a5311b, 0x92b7fb82, 0x429fd3c1, 0x92b4b626, 0x429a763f, 0x92b1710e,
+    0x42951893, 0x92ae2c3a,
+  0x428fbabe, 0x92aae7a8, 0x428a5cc0, 0x92a7a35a, 0x4284fe99, 0x92a45f50,
+    0x427fa049, 0x92a11b89,
+  0x427a41d0, 0x929dd806, 0x4274e32e, 0x929a94c6, 0x426f8463, 0x929751c9,
+    0x426a256f, 0x92940f10,
+  0x4264c653, 0x9290cc9b, 0x425f670d, 0x928d8a69, 0x425a079e, 0x928a487a,
+    0x4254a806, 0x928706cf,
+  0x424f4845, 0x9283c568, 0x4249e85c, 0x92808444, 0x42448849, 0x927d4363,
+    0x423f280e, 0x927a02c7,
+  0x4239c7aa, 0x9276c26d, 0x4234671d, 0x92738258, 0x422f0667, 0x92704286,
+    0x4229a588, 0x926d02f7,
+  0x42244481, 0x9269c3ac, 0x421ee350, 0x926684a5, 0x421981f7, 0x926345e1,
+    0x42142075, 0x92600761,
+  0x420ebecb, 0x925cc924, 0x42095cf7, 0x92598b2b, 0x4203fafb, 0x92564d76,
+    0x41fe98d6, 0x92531005,
+  0x41f93689, 0x924fd2d7, 0x41f3d413, 0x924c95ec, 0x41ee7174, 0x92495946,
+    0x41e90eac, 0x92461ce3,
+  0x41e3abbc, 0x9242e0c4, 0x41de48a3, 0x923fa4e8, 0x41d8e561, 0x923c6950,
+    0x41d381f7, 0x92392dfc,
+  0x41ce1e65, 0x9235f2ec, 0x41c8baa9, 0x9232b81f, 0x41c356c5, 0x922f7d96,
+    0x41bdf2b9, 0x922c4351,
+  0x41b88e84, 0x9229094f, 0x41b32a26, 0x9225cf91, 0x41adc5a0, 0x92229617,
+    0x41a860f1, 0x921f5ce1,
+  0x41a2fc1a, 0x921c23ef, 0x419d971b, 0x9218eb40, 0x419831f3, 0x9215b2d5,
+    0x4192cca2, 0x92127aae,
+  0x418d6729, 0x920f42cb, 0x41880188, 0x920c0b2c, 0x41829bbe, 0x9208d3d0,
+    0x417d35cb, 0x92059cb8,
+  0x4177cfb1, 0x920265e4, 0x4172696e, 0x91ff2f54, 0x416d0302, 0x91fbf908,
+    0x41679c6f, 0x91f8c300,
+  0x416235b2, 0x91f58d3b, 0x415ccece, 0x91f257bb, 0x415767c1, 0x91ef227e,
+    0x4152008c, 0x91ebed85,
+  0x414c992f, 0x91e8b8d0, 0x414731a9, 0x91e5845f, 0x4141c9fb, 0x91e25032,
+    0x413c6225, 0x91df1c49,
+  0x4136fa27, 0x91dbe8a4, 0x41319200, 0x91d8b542, 0x412c29b1, 0x91d58225,
+    0x4126c13a, 0x91d24f4c,
+  0x4121589b, 0x91cf1cb6, 0x411befd3, 0x91cbea65, 0x411686e4, 0x91c8b857,
+    0x41111dcc, 0x91c5868e,
+  0x410bb48c, 0x91c25508, 0x41064b24, 0x91bf23c7, 0x4100e194, 0x91bbf2c9,
+    0x40fb77dc, 0x91b8c210,
+  0x40f60dfb, 0x91b5919a, 0x40f0a3f3, 0x91b26169, 0x40eb39c3, 0x91af317c,
+    0x40e5cf6a, 0x91ac01d2,
+  0x40e064ea, 0x91a8d26d, 0x40dafa41, 0x91a5a34c, 0x40d58f71, 0x91a2746f,
+    0x40d02478, 0x919f45d6,
+  0x40cab958, 0x919c1781, 0x40c54e0f, 0x9198e970, 0x40bfe29f, 0x9195bba3,
+    0x40ba7706, 0x91928e1a,
+  0x40b50b46, 0x918f60d6, 0x40af9f5e, 0x918c33d5, 0x40aa334e, 0x91890719,
+    0x40a4c716, 0x9185daa1,
+  0x409f5ab6, 0x9182ae6d, 0x4099ee2e, 0x917f827d, 0x4094817f, 0x917c56d1,
+    0x408f14a7, 0x91792b6a,
+  0x4089a7a8, 0x91760047, 0x40843a81, 0x9172d567, 0x407ecd32, 0x916faacc,
+    0x40795fbc, 0x916c8076,
+  0x4073f21d, 0x91695663, 0x406e8457, 0x91662c95, 0x40691669, 0x9163030b,
+    0x4063a854, 0x915fd9c5,
+  0x405e3a16, 0x915cb0c3, 0x4058cbb1, 0x91598806, 0x40535d24, 0x91565f8d,
+    0x404dee70, 0x91533758,
+  0x40487f94, 0x91500f67, 0x40431090, 0x914ce7bb, 0x403da165, 0x9149c053,
+    0x40383212, 0x9146992f,
+  0x4032c297, 0x91437250, 0x402d52f5, 0x91404bb5, 0x4027e32b, 0x913d255e,
+    0x4022733a, 0x9139ff4b,
+  0x401d0321, 0x9136d97d, 0x401792e0, 0x9133b3f3, 0x40122278, 0x91308eae,
+    0x400cb1e9, 0x912d69ad,
+  0x40074132, 0x912a44f0, 0x4001d053, 0x91272078, 0x3ffc5f4d, 0x9123fc44,
+    0x3ff6ee1f, 0x9120d854,
+  0x3ff17cca, 0x911db4a9, 0x3fec0b4e, 0x911a9142, 0x3fe699aa, 0x91176e1f,
+    0x3fe127df, 0x91144b41,
+  0x3fdbb5ec, 0x911128a8, 0x3fd643d2, 0x910e0653, 0x3fd0d191, 0x910ae442,
+    0x3fcb5f28, 0x9107c276,
+  0x3fc5ec98, 0x9104a0ee, 0x3fc079e0, 0x91017faa, 0x3fbb0702, 0x90fe5eab,
+    0x3fb593fb, 0x90fb3df1,
+  0x3fb020ce, 0x90f81d7b, 0x3faaad79, 0x90f4fd4a, 0x3fa539fd, 0x90f1dd5d,
+    0x3f9fc65a, 0x90eebdb4,
+  0x3f9a5290, 0x90eb9e50, 0x3f94de9e, 0x90e87f31, 0x3f8f6a85, 0x90e56056,
+    0x3f89f645, 0x90e241bf,
+  0x3f8481dd, 0x90df236e, 0x3f7f0d4f, 0x90dc0560, 0x3f799899, 0x90d8e798,
+    0x3f7423bc, 0x90d5ca13,
+  0x3f6eaeb8, 0x90d2acd4, 0x3f69398d, 0x90cf8fd9, 0x3f63c43b, 0x90cc7322,
+    0x3f5e4ec2, 0x90c956b1,
+  0x3f58d921, 0x90c63a83, 0x3f53635a, 0x90c31e9b, 0x3f4ded6b, 0x90c002f7,
+    0x3f487755, 0x90bce797,
+  0x3f430119, 0x90b9cc7d, 0x3f3d8ab5, 0x90b6b1a6, 0x3f38142a, 0x90b39715,
+    0x3f329d79, 0x90b07cc8,
+  0x3f2d26a0, 0x90ad62c0, 0x3f27afa1, 0x90aa48fd, 0x3f22387a, 0x90a72f7e,
+    0x3f1cc12c, 0x90a41644,
+  0x3f1749b8, 0x90a0fd4e, 0x3f11d21d, 0x909de49e, 0x3f0c5a5a, 0x909acc32,
+    0x3f06e271, 0x9097b40a,
+  0x3f016a61, 0x90949c28, 0x3efbf22a, 0x9091848a, 0x3ef679cc, 0x908e6d31,
+    0x3ef10148, 0x908b561c,
+  0x3eeb889c, 0x90883f4d, 0x3ee60fca, 0x908528c2, 0x3ee096d1, 0x9082127c,
+    0x3edb1db1, 0x907efc7a,
+  0x3ed5a46b, 0x907be6be, 0x3ed02afd, 0x9078d146, 0x3ecab169, 0x9075bc13,
+    0x3ec537ae, 0x9072a725,
+  0x3ebfbdcd, 0x906f927c, 0x3eba43c4, 0x906c7e17, 0x3eb4c995, 0x906969f8,
+    0x3eaf4f40, 0x9066561d,
+  0x3ea9d4c3, 0x90634287, 0x3ea45a21, 0x90602f35, 0x3e9edf57, 0x905d1c29,
+    0x3e996467, 0x905a0962,
+  0x3e93e950, 0x9056f6df, 0x3e8e6e12, 0x9053e4a1, 0x3e88f2ae, 0x9050d2a9,
+    0x3e837724, 0x904dc0f5,
+  0x3e7dfb73, 0x904aaf86, 0x3e787f9b, 0x90479e5c, 0x3e73039d, 0x90448d76,
+    0x3e6d8778, 0x90417cd6,
+  0x3e680b2c, 0x903e6c7b, 0x3e628ebb, 0x903b5c64, 0x3e5d1222, 0x90384c93,
+    0x3e579564, 0x90353d06,
+  0x3e52187f, 0x90322dbf, 0x3e4c9b73, 0x902f1ebc, 0x3e471e41, 0x902c0fff,
+    0x3e41a0e8, 0x90290186,
+  0x3e3c2369, 0x9025f352, 0x3e36a5c4, 0x9022e564, 0x3e3127f9, 0x901fd7ba,
+    0x3e2baa07, 0x901cca55,
+  0x3e262bee, 0x9019bd36, 0x3e20adaf, 0x9016b05b, 0x3e1b2f4a, 0x9013a3c5,
+    0x3e15b0bf, 0x90109775,
+  0x3e10320d, 0x900d8b69, 0x3e0ab336, 0x900a7fa3, 0x3e053437, 0x90077422,
+    0x3dffb513, 0x900468e5,
+  0x3dfa35c8, 0x90015dee, 0x3df4b657, 0x8ffe533c, 0x3def36c0, 0x8ffb48cf,
+    0x3de9b703, 0x8ff83ea7,
+  0x3de4371f, 0x8ff534c4, 0x3ddeb716, 0x8ff22b26, 0x3dd936e6, 0x8fef21ce,
+    0x3dd3b690, 0x8fec18ba,
+  0x3dce3614, 0x8fe90fec, 0x3dc8b571, 0x8fe60763, 0x3dc334a9, 0x8fe2ff1f,
+    0x3dbdb3ba, 0x8fdff720,
+  0x3db832a6, 0x8fdcef66, 0x3db2b16b, 0x8fd9e7f2, 0x3dad300b, 0x8fd6e0c2,
+    0x3da7ae84, 0x8fd3d9d8,
+  0x3da22cd7, 0x8fd0d333, 0x3d9cab04, 0x8fcdccd3, 0x3d97290b, 0x8fcac6b9,
+    0x3d91a6ed, 0x8fc7c0e3,
+  0x3d8c24a8, 0x8fc4bb53, 0x3d86a23d, 0x8fc1b608, 0x3d811fac, 0x8fbeb103,
+    0x3d7b9cf6, 0x8fbbac42,
+  0x3d761a19, 0x8fb8a7c7, 0x3d709717, 0x8fb5a391, 0x3d6b13ee, 0x8fb29fa0,
+    0x3d6590a0, 0x8faf9bf5,
+  0x3d600d2c, 0x8fac988f, 0x3d5a8992, 0x8fa9956e, 0x3d5505d2, 0x8fa69293,
+    0x3d4f81ec, 0x8fa38ffc,
+  0x3d49fde1, 0x8fa08dab, 0x3d4479b0, 0x8f9d8ba0, 0x3d3ef559, 0x8f9a89da,
+    0x3d3970dc, 0x8f978859,
+  0x3d33ec39, 0x8f94871d, 0x3d2e6771, 0x8f918627, 0x3d28e282, 0x8f8e8576,
+    0x3d235d6f, 0x8f8b850a,
+  0x3d1dd835, 0x8f8884e4, 0x3d1852d6, 0x8f858503, 0x3d12cd51, 0x8f828568,
+    0x3d0d47a6, 0x8f7f8612,
+  0x3d07c1d6, 0x8f7c8701, 0x3d023be0, 0x8f798836, 0x3cfcb5c4, 0x8f7689b0,
+    0x3cf72f83, 0x8f738b70,
+  0x3cf1a91c, 0x8f708d75, 0x3cec2290, 0x8f6d8fbf, 0x3ce69bde, 0x8f6a924f,
+    0x3ce11507, 0x8f679525,
+  0x3cdb8e09, 0x8f649840, 0x3cd606e7, 0x8f619ba0, 0x3cd07f9f, 0x8f5e9f46,
+    0x3ccaf831, 0x8f5ba331,
+  0x3cc5709e, 0x8f58a761, 0x3cbfe8e5, 0x8f55abd8, 0x3cba6107, 0x8f52b093,
+    0x3cb4d904, 0x8f4fb595,
+  0x3caf50da, 0x8f4cbadb, 0x3ca9c88c, 0x8f49c067, 0x3ca44018, 0x8f46c639,
+    0x3c9eb77f, 0x8f43cc50,
+  0x3c992ec0, 0x8f40d2ad, 0x3c93a5dc, 0x8f3dd950, 0x3c8e1cd3, 0x8f3ae038,
+    0x3c8893a4, 0x8f37e765,
+  0x3c830a50, 0x8f34eed8, 0x3c7d80d6, 0x8f31f691, 0x3c77f737, 0x8f2efe8f,
+    0x3c726d73, 0x8f2c06d3,
+  0x3c6ce38a, 0x8f290f5c, 0x3c67597b, 0x8f26182b, 0x3c61cf48, 0x8f232140,
+    0x3c5c44ee, 0x8f202a9a,
+  0x3c56ba70, 0x8f1d343a, 0x3c512fcc, 0x8f1a3e1f, 0x3c4ba504, 0x8f17484b,
+    0x3c461a16, 0x8f1452bb,
+  0x3c408f03, 0x8f115d72, 0x3c3b03ca, 0x8f0e686e, 0x3c35786d, 0x8f0b73b0,
+    0x3c2fecea, 0x8f087f37,
+  0x3c2a6142, 0x8f058b04, 0x3c24d575, 0x8f029717, 0x3c1f4983, 0x8effa370,
+    0x3c19bd6c, 0x8efcb00e,
+  0x3c143130, 0x8ef9bcf2, 0x3c0ea4cf, 0x8ef6ca1c, 0x3c091849, 0x8ef3d78b,
+    0x3c038b9e, 0x8ef0e540,
+  0x3bfdfecd, 0x8eedf33b, 0x3bf871d8, 0x8eeb017c, 0x3bf2e4be, 0x8ee81002,
+    0x3bed577e, 0x8ee51ece,
+  0x3be7ca1a, 0x8ee22de0, 0x3be23c91, 0x8edf3d38, 0x3bdcaee3, 0x8edc4cd5,
+    0x3bd72110, 0x8ed95cb8,
+  0x3bd19318, 0x8ed66ce1, 0x3bcc04fb, 0x8ed37d50, 0x3bc676b9, 0x8ed08e05,
+    0x3bc0e853, 0x8ecd9eff,
+  0x3bbb59c7, 0x8ecab040, 0x3bb5cb17, 0x8ec7c1c6, 0x3bb03c42, 0x8ec4d392,
+    0x3baaad48, 0x8ec1e5a4,
+  0x3ba51e29, 0x8ebef7fb, 0x3b9f8ee5, 0x8ebc0a99, 0x3b99ff7d, 0x8eb91d7c,
+    0x3b946ff0, 0x8eb630a6,
+  0x3b8ee03e, 0x8eb34415, 0x3b895068, 0x8eb057ca, 0x3b83c06c, 0x8ead6bc5,
+    0x3b7e304c, 0x8eaa8006,
+  0x3b78a007, 0x8ea7948c, 0x3b730f9e, 0x8ea4a959, 0x3b6d7f10, 0x8ea1be6c,
+    0x3b67ee5d, 0x8e9ed3c4,
+  0x3b625d86, 0x8e9be963, 0x3b5ccc8a, 0x8e98ff47, 0x3b573b69, 0x8e961571,
+    0x3b51aa24, 0x8e932be2,
+  0x3b4c18ba, 0x8e904298, 0x3b46872c, 0x8e8d5994, 0x3b40f579, 0x8e8a70d7,
+    0x3b3b63a1, 0x8e87885f,
+  0x3b35d1a5, 0x8e84a02d, 0x3b303f84, 0x8e81b841, 0x3b2aad3f, 0x8e7ed09b,
+    0x3b251ad6, 0x8e7be93c,
+  0x3b1f8848, 0x8e790222, 0x3b19f595, 0x8e761b4e, 0x3b1462be, 0x8e7334c1,
+    0x3b0ecfc3, 0x8e704e79,
+  0x3b093ca3, 0x8e6d6877, 0x3b03a95e, 0x8e6a82bc, 0x3afe15f6, 0x8e679d47,
+    0x3af88269, 0x8e64b817,
+  0x3af2eeb7, 0x8e61d32e, 0x3aed5ae1, 0x8e5eee8b, 0x3ae7c6e7, 0x8e5c0a2e,
+    0x3ae232c9, 0x8e592617,
+  0x3adc9e86, 0x8e564246, 0x3ad70a1f, 0x8e535ebb, 0x3ad17593, 0x8e507b76,
+    0x3acbe0e3, 0x8e4d9878,
+  0x3ac64c0f, 0x8e4ab5bf, 0x3ac0b717, 0x8e47d34d, 0x3abb21fb, 0x8e44f121,
+    0x3ab58cba, 0x8e420f3b,
+  0x3aaff755, 0x8e3f2d9b, 0x3aaa61cc, 0x8e3c4c41, 0x3aa4cc1e, 0x8e396b2e,
+    0x3a9f364d, 0x8e368a61,
+  0x3a99a057, 0x8e33a9da, 0x3a940a3e, 0x8e30c999, 0x3a8e7400, 0x8e2de99e,
+    0x3a88dd9d, 0x8e2b09e9,
+  0x3a834717, 0x8e282a7b, 0x3a7db06d, 0x8e254b53, 0x3a78199f, 0x8e226c71,
+    0x3a7282ac, 0x8e1f8dd6,
+  0x3a6ceb96, 0x8e1caf80, 0x3a67545b, 0x8e19d171, 0x3a61bcfd, 0x8e16f3a9,
+    0x3a5c257a, 0x8e141626,
+  0x3a568dd4, 0x8e1138ea, 0x3a50f609, 0x8e0e5bf4, 0x3a4b5e1b, 0x8e0b7f44,
+    0x3a45c608, 0x8e08a2db,
+  0x3a402dd2, 0x8e05c6b7, 0x3a3a9577, 0x8e02eadb, 0x3a34fcf9, 0x8e000f44,
+    0x3a2f6457, 0x8dfd33f4,
+  0x3a29cb91, 0x8dfa58ea, 0x3a2432a7, 0x8df77e27, 0x3a1e9999, 0x8df4a3a9,
+    0x3a190068, 0x8df1c973,
+  0x3a136712, 0x8deeef82, 0x3a0dcd99, 0x8dec15d8, 0x3a0833fc, 0x8de93c74,
+    0x3a029a3b, 0x8de66357,
+  0x39fd0056, 0x8de38a80, 0x39f7664e, 0x8de0b1ef, 0x39f1cc21, 0x8dddd9a5,
+    0x39ec31d1, 0x8ddb01a1,
+  0x39e6975e, 0x8dd829e4, 0x39e0fcc6, 0x8dd5526d, 0x39db620b, 0x8dd27b3c,
+    0x39d5c72c, 0x8dcfa452,
+  0x39d02c2a, 0x8dcccdaf, 0x39ca9104, 0x8dc9f751, 0x39c4f5ba, 0x8dc7213b,
+    0x39bf5a4d, 0x8dc44b6a,
+  0x39b9bebc, 0x8dc175e0, 0x39b42307, 0x8dbea09d, 0x39ae872f, 0x8dbbcba0,
+    0x39a8eb33, 0x8db8f6ea,
+  0x39a34f13, 0x8db6227a, 0x399db2d0, 0x8db34e50, 0x3998166a, 0x8db07a6d,
+    0x399279e0, 0x8dada6d1,
+  0x398cdd32, 0x8daad37b, 0x39874061, 0x8da8006c, 0x3981a36d, 0x8da52da3,
+    0x397c0655, 0x8da25b21,
+  0x39766919, 0x8d9f88e5, 0x3970cbba, 0x8d9cb6f0, 0x396b2e38, 0x8d99e541,
+    0x39659092, 0x8d9713d9,
+  0x395ff2c9, 0x8d9442b8, 0x395a54dd, 0x8d9171dd, 0x3954b6cd, 0x8d8ea148,
+    0x394f1899, 0x8d8bd0fb,
+  0x39497a43, 0x8d8900f3, 0x3943dbc9, 0x8d863133, 0x393e3d2c, 0x8d8361b9,
+    0x39389e6b, 0x8d809286,
+  0x3932ff87, 0x8d7dc399, 0x392d6080, 0x8d7af4f3, 0x3927c155, 0x8d782694,
+    0x39222208, 0x8d75587b,
+  0x391c8297, 0x8d728aa9, 0x3916e303, 0x8d6fbd1d, 0x3911434b, 0x8d6cefd9,
+    0x390ba371, 0x8d6a22db,
+  0x39060373, 0x8d675623, 0x39006352, 0x8d6489b3, 0x38fac30e, 0x8d61bd89,
+    0x38f522a6, 0x8d5ef1a5,
+  0x38ef821c, 0x8d5c2609, 0x38e9e16e, 0x8d595ab3, 0x38e4409e, 0x8d568fa4,
+    0x38de9faa, 0x8d53c4db,
+  0x38d8fe93, 0x8d50fa59, 0x38d35d59, 0x8d4e301f, 0x38cdbbfc, 0x8d4b662a,
+    0x38c81a7c, 0x8d489c7d,
+  0x38c278d9, 0x8d45d316, 0x38bcd713, 0x8d4309f6, 0x38b7352a, 0x8d40411d,
+    0x38b1931e, 0x8d3d788b,
+  0x38abf0ef, 0x8d3ab03f, 0x38a64e9d, 0x8d37e83a, 0x38a0ac29, 0x8d35207d,
+    0x389b0991, 0x8d325905,
+  0x389566d6, 0x8d2f91d5, 0x388fc3f8, 0x8d2ccaec, 0x388a20f8, 0x8d2a0449,
+    0x38847dd5, 0x8d273ded,
+  0x387eda8e, 0x8d2477d8, 0x38793725, 0x8d21b20a, 0x38739399, 0x8d1eec83,
+    0x386defeb, 0x8d1c2742,
+  0x38684c19, 0x8d196249, 0x3862a825, 0x8d169d96, 0x385d040d, 0x8d13d92a,
+    0x38575fd4, 0x8d111505,
+  0x3851bb77, 0x8d0e5127, 0x384c16f7, 0x8d0b8d90, 0x38467255, 0x8d08ca40,
+    0x3840cd90, 0x8d060737,
+  0x383b28a9, 0x8d034474, 0x3835839f, 0x8d0081f9, 0x382fde72, 0x8cfdbfc4,
+    0x382a3922, 0x8cfafdd7,
+  0x382493b0, 0x8cf83c30, 0x381eee1b, 0x8cf57ad0, 0x38194864, 0x8cf2b9b8,
+    0x3813a28a, 0x8ceff8e6,
+  0x380dfc8d, 0x8ced385b, 0x3808566e, 0x8cea7818, 0x3802b02c, 0x8ce7b81b,
+    0x37fd09c8, 0x8ce4f865,
+  0x37f76341, 0x8ce238f6, 0x37f1bc97, 0x8cdf79ce, 0x37ec15cb, 0x8cdcbaee,
+    0x37e66edd, 0x8cd9fc54,
+  0x37e0c7cc, 0x8cd73e01, 0x37db2099, 0x8cd47ff6, 0x37d57943, 0x8cd1c231,
+    0x37cfd1cb, 0x8ccf04b3,
+  0x37ca2a30, 0x8ccc477d, 0x37c48273, 0x8cc98a8e, 0x37beda93, 0x8cc6cde5,
+    0x37b93292, 0x8cc41184,
+  0x37b38a6d, 0x8cc1556a, 0x37ade227, 0x8cbe9996, 0x37a839be, 0x8cbbde0a,
+    0x37a29132, 0x8cb922c6,
+  0x379ce885, 0x8cb667c8, 0x37973fb5, 0x8cb3ad11, 0x379196c3, 0x8cb0f2a1,
+    0x378bedae, 0x8cae3879,
+  0x37864477, 0x8cab7e98, 0x37809b1e, 0x8ca8c4fd, 0x377af1a3, 0x8ca60baa,
+    0x37754806, 0x8ca3529f,
+  0x376f9e46, 0x8ca099da, 0x3769f464, 0x8c9de15c, 0x37644a60, 0x8c9b2926,
+    0x375ea03a, 0x8c987137,
+  0x3758f5f2, 0x8c95b98f, 0x37534b87, 0x8c93022e, 0x374da0fa, 0x8c904b14,
+    0x3747f64c, 0x8c8d9442,
+  0x37424b7b, 0x8c8addb7, 0x373ca088, 0x8c882773, 0x3736f573, 0x8c857176,
+    0x37314a3c, 0x8c82bbc0,
+  0x372b9ee3, 0x8c800652, 0x3725f367, 0x8c7d512b, 0x372047ca, 0x8c7a9c4b,
+    0x371a9c0b, 0x8c77e7b3,
+  0x3714f02a, 0x8c753362, 0x370f4427, 0x8c727f58, 0x37099802, 0x8c6fcb95,
+    0x3703ebbb, 0x8c6d181a,
+  0x36fe3f52, 0x8c6a64e5, 0x36f892c7, 0x8c67b1f9, 0x36f2e61a, 0x8c64ff53,
+    0x36ed394b, 0x8c624cf5,
+  0x36e78c5b, 0x8c5f9ade, 0x36e1df48, 0x8c5ce90e, 0x36dc3214, 0x8c5a3786,
+    0x36d684be, 0x8c578645,
+  0x36d0d746, 0x8c54d54c, 0x36cb29ac, 0x8c522499, 0x36c57bf0, 0x8c4f742f,
+    0x36bfce13, 0x8c4cc40b,
+  0x36ba2014, 0x8c4a142f, 0x36b471f3, 0x8c47649a, 0x36aec3b0, 0x8c44b54d,
+    0x36a9154c, 0x8c420647,
+  0x36a366c6, 0x8c3f5788, 0x369db81e, 0x8c3ca911, 0x36980954, 0x8c39fae1,
+    0x36925a69, 0x8c374cf9,
+  0x368cab5c, 0x8c349f58, 0x3686fc2e, 0x8c31f1ff, 0x36814cde, 0x8c2f44ed,
+    0x367b9d6c, 0x8c2c9822,
+  0x3675edd9, 0x8c29eb9f, 0x36703e24, 0x8c273f63, 0x366a8e4d, 0x8c24936f,
+    0x3664de55, 0x8c21e7c2,
+  0x365f2e3b, 0x8c1f3c5d, 0x36597e00, 0x8c1c913f, 0x3653cda3, 0x8c19e669,
+    0x364e1d25, 0x8c173bda,
+  0x36486c86, 0x8c149192, 0x3642bbc4, 0x8c11e792, 0x363d0ae2, 0x8c0f3dda,
+    0x363759de, 0x8c0c9469,
+  0x3631a8b8, 0x8c09eb40, 0x362bf771, 0x8c07425e, 0x36264609, 0x8c0499c4,
+    0x3620947f, 0x8c01f171,
+  0x361ae2d3, 0x8bff4966, 0x36153107, 0x8bfca1a3, 0x360f7f19, 0x8bf9fa27,
+    0x3609cd0a, 0x8bf752f2,
+  0x36041ad9, 0x8bf4ac05, 0x35fe6887, 0x8bf20560, 0x35f8b614, 0x8bef5f02,
+    0x35f3037f, 0x8becb8ec,
+  0x35ed50c9, 0x8bea131e, 0x35e79df2, 0x8be76d97, 0x35e1eafa, 0x8be4c857,
+    0x35dc37e0, 0x8be22360,
+  0x35d684a6, 0x8bdf7eb0, 0x35d0d14a, 0x8bdcda47, 0x35cb1dcc, 0x8bda3626,
+    0x35c56a2e, 0x8bd7924d,
+  0x35bfb66e, 0x8bd4eebc, 0x35ba028e, 0x8bd24b72, 0x35b44e8c, 0x8bcfa870,
+    0x35ae9a69, 0x8bcd05b5,
+  0x35a8e625, 0x8bca6343, 0x35a331c0, 0x8bc7c117, 0x359d7d39, 0x8bc51f34,
+    0x3597c892, 0x8bc27d98,
+  0x359213c9, 0x8bbfdc44, 0x358c5ee0, 0x8bbd3b38, 0x3586a9d5, 0x8bba9a73,
+    0x3580f4aa, 0x8bb7f9f6,
+  0x357b3f5d, 0x8bb559c1, 0x357589f0, 0x8bb2b9d4, 0x356fd461, 0x8bb01a2e,
+    0x356a1eb2, 0x8bad7ad0,
+  0x356468e2, 0x8baadbba, 0x355eb2f0, 0x8ba83cec, 0x3558fcde, 0x8ba59e65,
+    0x355346ab, 0x8ba30026,
+  0x354d9057, 0x8ba0622f, 0x3547d9e2, 0x8b9dc480, 0x3542234c, 0x8b9b2718,
+    0x353c6c95, 0x8b9889f8,
+  0x3536b5be, 0x8b95ed21, 0x3530fec6, 0x8b935090, 0x352b47ad, 0x8b90b448,
+    0x35259073, 0x8b8e1848,
+  0x351fd918, 0x8b8b7c8f, 0x351a219c, 0x8b88e11e, 0x35146a00, 0x8b8645f5,
+    0x350eb243, 0x8b83ab14,
+  0x3508fa66, 0x8b81107b, 0x35034267, 0x8b7e7629, 0x34fd8a48, 0x8b7bdc20,
+    0x34f7d208, 0x8b79425e,
+  0x34f219a8, 0x8b76a8e4, 0x34ec6127, 0x8b740fb3, 0x34e6a885, 0x8b7176c8,
+    0x34e0efc2, 0x8b6ede26,
+  0x34db36df, 0x8b6c45cc, 0x34d57ddc, 0x8b69adba, 0x34cfc4b7, 0x8b6715ef,
+    0x34ca0b73, 0x8b647e6d,
+  0x34c4520d, 0x8b61e733, 0x34be9887, 0x8b5f5040, 0x34b8dee1, 0x8b5cb995,
+    0x34b3251a, 0x8b5a2333,
+  0x34ad6b32, 0x8b578d18, 0x34a7b12a, 0x8b54f745, 0x34a1f702, 0x8b5261ba,
+    0x349c3cb9, 0x8b4fcc77,
+  0x34968250, 0x8b4d377c, 0x3490c7c6, 0x8b4aa2ca, 0x348b0d1c, 0x8b480e5f,
+    0x34855251, 0x8b457a3c,
+  0x347f9766, 0x8b42e661, 0x3479dc5b, 0x8b4052ce, 0x3474212f, 0x8b3dbf83,
+    0x346e65e3, 0x8b3b2c80,
+  0x3468aa76, 0x8b3899c6, 0x3462eee9, 0x8b360753, 0x345d333c, 0x8b337528,
+    0x3457776f, 0x8b30e345,
+  0x3451bb81, 0x8b2e51ab, 0x344bff73, 0x8b2bc058, 0x34464345, 0x8b292f4e,
+    0x344086f6, 0x8b269e8b,
+  0x343aca87, 0x8b240e11, 0x34350df8, 0x8b217ddf, 0x342f5149, 0x8b1eedf4,
+    0x3429947a, 0x8b1c5e52,
+  0x3423d78a, 0x8b19cef8, 0x341e1a7b, 0x8b173fe6, 0x34185d4b, 0x8b14b11d,
+    0x34129ffb, 0x8b12229b,
+  0x340ce28b, 0x8b0f9462, 0x340724fb, 0x8b0d0670, 0x3401674a, 0x8b0a78c7,
+    0x33fba97a, 0x8b07eb66,
+  0x33f5eb89, 0x8b055e4d, 0x33f02d79, 0x8b02d17c, 0x33ea6f48, 0x8b0044f3,
+    0x33e4b0f8, 0x8afdb8b3,
+  0x33def287, 0x8afb2cbb, 0x33d933f7, 0x8af8a10b, 0x33d37546, 0x8af615a3,
+    0x33cdb676, 0x8af38a83,
+  0x33c7f785, 0x8af0ffac, 0x33c23875, 0x8aee751c, 0x33bc7944, 0x8aebead5,
+    0x33b6b9f4, 0x8ae960d6,
+  0x33b0fa84, 0x8ae6d720, 0x33ab3af4, 0x8ae44db1, 0x33a57b44, 0x8ae1c48b,
+    0x339fbb74, 0x8adf3bad,
+  0x3399fb85, 0x8adcb318, 0x33943b75, 0x8ada2aca, 0x338e7b46, 0x8ad7a2c5,
+    0x3388baf7, 0x8ad51b08,
+  0x3382fa88, 0x8ad29394, 0x337d39f9, 0x8ad00c67, 0x3377794b, 0x8acd8583,
+    0x3371b87d, 0x8acafee8,
+  0x336bf78f, 0x8ac87894, 0x33663682, 0x8ac5f289, 0x33607554, 0x8ac36cc6,
+    0x335ab407, 0x8ac0e74c,
+  0x3354f29b, 0x8abe6219, 0x334f310e, 0x8abbdd30, 0x33496f62, 0x8ab9588e,
+    0x3343ad97, 0x8ab6d435,
+  0x333debab, 0x8ab45024, 0x333829a1, 0x8ab1cc5c, 0x33326776, 0x8aaf48db,
+    0x332ca52c, 0x8aacc5a4,
+  0x3326e2c3, 0x8aaa42b4, 0x33212039, 0x8aa7c00d, 0x331b5d91, 0x8aa53daf,
+    0x33159ac8, 0x8aa2bb99,
+  0x330fd7e1, 0x8aa039cb, 0x330a14da, 0x8a9db845, 0x330451b3, 0x8a9b3708,
+    0x32fe8e6d, 0x8a98b614,
+  0x32f8cb07, 0x8a963567, 0x32f30782, 0x8a93b504, 0x32ed43de, 0x8a9134e8,
+    0x32e7801a, 0x8a8eb516,
+  0x32e1bc36, 0x8a8c358b, 0x32dbf834, 0x8a89b649, 0x32d63412, 0x8a873750,
+    0x32d06fd0, 0x8a84b89e,
+  0x32caab6f, 0x8a823a36, 0x32c4e6ef, 0x8a7fbc16, 0x32bf2250, 0x8a7d3e3e,
+    0x32b95d91, 0x8a7ac0af,
+  0x32b398b3, 0x8a784368, 0x32add3b6, 0x8a75c66a, 0x32a80e99, 0x8a7349b4,
+    0x32a2495d, 0x8a70cd47,
+  0x329c8402, 0x8a6e5123, 0x3296be88, 0x8a6bd547, 0x3290f8ef, 0x8a6959b3,
+    0x328b3336, 0x8a66de68,
+  0x32856d5e, 0x8a646365, 0x327fa767, 0x8a61e8ab, 0x3279e151, 0x8a5f6e3a,
+    0x32741b1c, 0x8a5cf411,
+  0x326e54c7, 0x8a5a7a31, 0x32688e54, 0x8a580099, 0x3262c7c1, 0x8a55874a,
+    0x325d0110, 0x8a530e43,
+  0x32573a3f, 0x8a509585, 0x3251734f, 0x8a4e1d10, 0x324bac40, 0x8a4ba4e3,
+    0x3245e512, 0x8a492cff,
+  0x32401dc6, 0x8a46b564, 0x323a565a, 0x8a443e11, 0x32348ecf, 0x8a41c706,
+    0x322ec725, 0x8a3f5045,
+  0x3228ff5c, 0x8a3cd9cc, 0x32233775, 0x8a3a639b, 0x321d6f6e, 0x8a37edb3,
+    0x3217a748, 0x8a357814,
+  0x3211df04, 0x8a3302be, 0x320c16a1, 0x8a308db0, 0x32064e1e, 0x8a2e18eb,
+    0x3200857d, 0x8a2ba46e,
+  0x31fabcbd, 0x8a29303b, 0x31f4f3df, 0x8a26bc50, 0x31ef2ae1, 0x8a2448ad,
+    0x31e961c5, 0x8a21d554,
+  0x31e39889, 0x8a1f6243, 0x31ddcf30, 0x8a1cef7a, 0x31d805b7, 0x8a1a7cfb,
+    0x31d23c1f, 0x8a180ac4,
+  0x31cc7269, 0x8a1598d6, 0x31c6a894, 0x8a132731, 0x31c0dea1, 0x8a10b5d4,
+    0x31bb148f, 0x8a0e44c0,
+  0x31b54a5e, 0x8a0bd3f5, 0x31af800e, 0x8a096373, 0x31a9b5a0, 0x8a06f339,
+    0x31a3eb13, 0x8a048348,
+  0x319e2067, 0x8a0213a0, 0x3198559d, 0x89ffa441, 0x31928ab4, 0x89fd352b,
+    0x318cbfad, 0x89fac65d,
+  0x3186f487, 0x89f857d8, 0x31812943, 0x89f5e99c, 0x317b5de0, 0x89f37ba9,
+    0x3175925e, 0x89f10dff,
+  0x316fc6be, 0x89eea09d, 0x3169fb00, 0x89ec3384, 0x31642f23, 0x89e9c6b4,
+    0x315e6328, 0x89e75a2d,
+  0x3158970e, 0x89e4edef, 0x3152cad5, 0x89e281fa, 0x314cfe7f, 0x89e0164d,
+    0x31473209, 0x89ddaae9,
+  0x31416576, 0x89db3fcf, 0x313b98c4, 0x89d8d4fd, 0x3135cbf4, 0x89d66a74,
+    0x312fff05, 0x89d40033,
+  0x312a31f8, 0x89d1963c, 0x312464cd, 0x89cf2c8e, 0x311e9783, 0x89ccc328,
+    0x3118ca1b, 0x89ca5a0c,
+  0x3112fc95, 0x89c7f138, 0x310d2ef0, 0x89c588ae, 0x3107612e, 0x89c3206c,
+    0x3101934d, 0x89c0b873,
+  0x30fbc54d, 0x89be50c3, 0x30f5f730, 0x89bbe95c, 0x30f028f4, 0x89b9823e,
+    0x30ea5a9a, 0x89b71b69,
+  0x30e48c22, 0x89b4b4dd, 0x30debd8c, 0x89b24e9a, 0x30d8eed8, 0x89afe8a0,
+    0x30d32006, 0x89ad82ef,
+  0x30cd5115, 0x89ab1d87, 0x30c78206, 0x89a8b868, 0x30c1b2da, 0x89a65391,
+    0x30bbe38f, 0x89a3ef04,
+  0x30b61426, 0x89a18ac0, 0x30b0449f, 0x899f26c5, 0x30aa74fa, 0x899cc313,
+    0x30a4a537, 0x899a5faa,
+  0x309ed556, 0x8997fc8a, 0x30990557, 0x899599b3, 0x3093353a, 0x89933725,
+    0x308d64ff, 0x8990d4e0,
+  0x308794a6, 0x898e72e4, 0x3081c42f, 0x898c1131, 0x307bf39b, 0x8989afc8,
+    0x307622e8, 0x89874ea7,
+  0x30705217, 0x8984edcf, 0x306a8129, 0x89828d41, 0x3064b01d, 0x89802cfc,
+    0x305edef3, 0x897dccff,
+  0x30590dab, 0x897b6d4c, 0x30533c45, 0x89790de2, 0x304d6ac1, 0x8976aec1,
+    0x30479920, 0x89744fe9,
+  0x3041c761, 0x8971f15a, 0x303bf584, 0x896f9315, 0x30362389, 0x896d3518,
+    0x30305171, 0x896ad765,
+  0x302a7f3a, 0x896879fb, 0x3024ace6, 0x89661cda, 0x301eda75, 0x8963c002,
+    0x301907e6, 0x89616373,
+  0x30133539, 0x895f072e, 0x300d626e, 0x895cab31, 0x30078f86, 0x895a4f7e,
+    0x3001bc80, 0x8957f414,
+  0x2ffbe95d, 0x895598f3, 0x2ff6161c, 0x89533e1c, 0x2ff042bd, 0x8950e38e,
+    0x2fea6f41, 0x894e8948,
+  0x2fe49ba7, 0x894c2f4c, 0x2fdec7f0, 0x8949d59a, 0x2fd8f41b, 0x89477c30,
+    0x2fd32028, 0x89452310,
+  0x2fcd4c19, 0x8942ca39, 0x2fc777eb, 0x894071ab, 0x2fc1a3a0, 0x893e1967,
+    0x2fbbcf38, 0x893bc16b,
+  0x2fb5fab2, 0x893969b9, 0x2fb0260f, 0x89371250, 0x2faa514f, 0x8934bb31,
+    0x2fa47c71, 0x8932645b,
+  0x2f9ea775, 0x89300dce, 0x2f98d25d, 0x892db78a, 0x2f92fd26, 0x892b6190,
+    0x2f8d27d3, 0x89290bdf,
+  0x2f875262, 0x8926b677, 0x2f817cd4, 0x89246159, 0x2f7ba729, 0x89220c84,
+    0x2f75d160, 0x891fb7f8,
+  0x2f6ffb7a, 0x891d63b5, 0x2f6a2577, 0x891b0fbc, 0x2f644f56, 0x8918bc0c,
+    0x2f5e7919, 0x891668a6,
+  0x2f58a2be, 0x89141589, 0x2f52cc46, 0x8911c2b5, 0x2f4cf5b0, 0x890f702b,
+    0x2f471efe, 0x890d1dea,
+  0x2f41482e, 0x890acbf2, 0x2f3b7141, 0x89087a44, 0x2f359a37, 0x890628df,
+    0x2f2fc310, 0x8903d7c4,
+  0x2f29ebcc, 0x890186f2, 0x2f24146b, 0x88ff3669, 0x2f1e3ced, 0x88fce62a,
+    0x2f186551, 0x88fa9634,
+  0x2f128d99, 0x88f84687, 0x2f0cb5c3, 0x88f5f724, 0x2f06ddd1, 0x88f3a80b,
+    0x2f0105c1, 0x88f1593b,
+  0x2efb2d95, 0x88ef0ab4, 0x2ef5554b, 0x88ecbc77, 0x2eef7ce5, 0x88ea6e83,
+    0x2ee9a461, 0x88e820d9,
+  0x2ee3cbc1, 0x88e5d378, 0x2eddf304, 0x88e38660, 0x2ed81a29, 0x88e13992,
+    0x2ed24132, 0x88deed0e,
+  0x2ecc681e, 0x88dca0d3, 0x2ec68eed, 0x88da54e1, 0x2ec0b5a0, 0x88d8093a,
+    0x2ebadc35, 0x88d5bddb,
+  0x2eb502ae, 0x88d372c6, 0x2eaf290a, 0x88d127fb, 0x2ea94f49, 0x88cedd79,
+    0x2ea3756b, 0x88cc9340,
+  0x2e9d9b70, 0x88ca4951, 0x2e97c159, 0x88c7ffac, 0x2e91e725, 0x88c5b650,
+    0x2e8c0cd4, 0x88c36d3e,
+  0x2e863267, 0x88c12475, 0x2e8057dd, 0x88bedbf6, 0x2e7a7d36, 0x88bc93c0,
+    0x2e74a272, 0x88ba4bd4,
+  0x2e6ec792, 0x88b80432, 0x2e68ec95, 0x88b5bcd9, 0x2e63117c, 0x88b375ca,
+    0x2e5d3646, 0x88b12f04,
+  0x2e575af3, 0x88aee888, 0x2e517f84, 0x88aca255, 0x2e4ba3f8, 0x88aa5c6c,
+    0x2e45c850, 0x88a816cd,
+  0x2e3fec8b, 0x88a5d177, 0x2e3a10aa, 0x88a38c6b, 0x2e3434ac, 0x88a147a9,
+    0x2e2e5891, 0x889f0330,
+  0x2e287c5a, 0x889cbf01, 0x2e22a007, 0x889a7b1b, 0x2e1cc397, 0x88983780,
+    0x2e16e70b, 0x8895f42d,
+  0x2e110a62, 0x8893b125, 0x2e0b2d9d, 0x88916e66, 0x2e0550bb, 0x888f2bf1,
+    0x2dff73bd, 0x888ce9c5,
+  0x2df996a3, 0x888aa7e3, 0x2df3b96c, 0x8888664b, 0x2deddc19, 0x888624fd,
+    0x2de7feaa, 0x8883e3f8,
+  0x2de2211e, 0x8881a33d, 0x2ddc4376, 0x887f62cb, 0x2dd665b2, 0x887d22a4,
+    0x2dd087d1, 0x887ae2c6,
+  0x2dcaa9d5, 0x8878a332, 0x2dc4cbbc, 0x887663e7, 0x2dbeed86, 0x887424e7,
+    0x2db90f35, 0x8871e630,
+  0x2db330c7, 0x886fa7c2, 0x2dad523d, 0x886d699f, 0x2da77397, 0x886b2bc5,
+    0x2da194d5, 0x8868ee35,
+  0x2d9bb5f6, 0x8866b0ef, 0x2d95d6fc, 0x886473f2, 0x2d8ff7e5, 0x88623740,
+    0x2d8a18b3, 0x885ffad7,
+  0x2d843964, 0x885dbeb8, 0x2d7e59f9, 0x885b82e3, 0x2d787a72, 0x88594757,
+    0x2d729acf, 0x88570c16,
+  0x2d6cbb10, 0x8854d11e, 0x2d66db35, 0x88529670, 0x2d60fb3e, 0x88505c0b,
+    0x2d5b1b2b, 0x884e21f1,
+  0x2d553afc, 0x884be821, 0x2d4f5ab1, 0x8849ae9a, 0x2d497a4a, 0x8847755d,
+    0x2d4399c7, 0x88453c6a,
+  0x2d3db928, 0x884303c1, 0x2d37d86d, 0x8840cb61, 0x2d31f797, 0x883e934c,
+    0x2d2c16a4, 0x883c5b81,
+  0x2d263596, 0x883a23ff, 0x2d20546b, 0x8837ecc7, 0x2d1a7325, 0x8835b5d9,
+    0x2d1491c4, 0x88337f35,
+  0x2d0eb046, 0x883148db, 0x2d08ceac, 0x882f12cb, 0x2d02ecf7, 0x882cdd04,
+    0x2cfd0b26, 0x882aa788,
+  0x2cf72939, 0x88287256, 0x2cf14731, 0x88263d6d, 0x2ceb650d, 0x882408ce,
+    0x2ce582cd, 0x8821d47a,
+  0x2cdfa071, 0x881fa06f, 0x2cd9bdfa, 0x881d6cae, 0x2cd3db67, 0x881b3937,
+    0x2ccdf8b8, 0x8819060a,
+  0x2cc815ee, 0x8816d327, 0x2cc23308, 0x8814a08f, 0x2cbc5006, 0x88126e40,
+    0x2cb66ce9, 0x88103c3b,
+  0x2cb089b1, 0x880e0a7f, 0x2caaa65c, 0x880bd90e, 0x2ca4c2ed, 0x8809a7e7,
+    0x2c9edf61, 0x8807770a,
+  0x2c98fbba, 0x88054677, 0x2c9317f8, 0x8803162e, 0x2c8d341a, 0x8800e62f,
+    0x2c875021, 0x87feb67a,
+  0x2c816c0c, 0x87fc870f, 0x2c7b87dc, 0x87fa57ee, 0x2c75a390, 0x87f82917,
+    0x2c6fbf29, 0x87f5fa8b,
+  0x2c69daa6, 0x87f3cc48, 0x2c63f609, 0x87f19e4f, 0x2c5e114f, 0x87ef70a0,
+    0x2c582c7b, 0x87ed433c,
+  0x2c52478a, 0x87eb1621, 0x2c4c627f, 0x87e8e950, 0x2c467d58, 0x87e6bcca,
+    0x2c409816, 0x87e4908e,
+  0x2c3ab2b9, 0x87e2649b, 0x2c34cd40, 0x87e038f3, 0x2c2ee7ad, 0x87de0d95,
+    0x2c2901fd, 0x87dbe281,
+  0x2c231c33, 0x87d9b7b7, 0x2c1d364e, 0x87d78d38, 0x2c17504d, 0x87d56302,
+    0x2c116a31, 0x87d33916,
+  0x2c0b83fa, 0x87d10f75, 0x2c059da7, 0x87cee61e, 0x2bffb73a, 0x87ccbd11,
+    0x2bf9d0b1, 0x87ca944e,
+  0x2bf3ea0d, 0x87c86bd5, 0x2bee034e, 0x87c643a6, 0x2be81c74, 0x87c41bc2,
+    0x2be2357f, 0x87c1f427,
+  0x2bdc4e6f, 0x87bfccd7, 0x2bd66744, 0x87bda5d1, 0x2bd07ffe, 0x87bb7f16,
+    0x2bca989d, 0x87b958a4,
+  0x2bc4b120, 0x87b7327d, 0x2bbec989, 0x87b50c9f, 0x2bb8e1d7, 0x87b2e70c,
+    0x2bb2fa0a, 0x87b0c1c4,
+  0x2bad1221, 0x87ae9cc5, 0x2ba72a1e, 0x87ac7811, 0x2ba14200, 0x87aa53a6,
+    0x2b9b59c7, 0x87a82f87,
+  0x2b957173, 0x87a60bb1, 0x2b8f8905, 0x87a3e825, 0x2b89a07b, 0x87a1c4e4,
+    0x2b83b7d7, 0x879fa1ed,
+  0x2b7dcf17, 0x879d7f41, 0x2b77e63d, 0x879b5cde, 0x2b71fd48, 0x87993ac6,
+    0x2b6c1438, 0x879718f8,
+  0x2b662b0e, 0x8794f774, 0x2b6041c9, 0x8792d63b, 0x2b5a5868, 0x8790b54c,
+    0x2b546eee, 0x878e94a7,
+  0x2b4e8558, 0x878c744d, 0x2b489ba8, 0x878a543d, 0x2b42b1dd, 0x87883477,
+    0x2b3cc7f7, 0x878614fb,
+  0x2b36ddf7, 0x8783f5ca, 0x2b30f3dc, 0x8781d6e3, 0x2b2b09a6, 0x877fb846,
+    0x2b251f56, 0x877d99f4,
+  0x2b1f34eb, 0x877b7bec, 0x2b194a66, 0x87795e2f, 0x2b135fc6, 0x877740bb,
+    0x2b0d750b, 0x87752392,
+  0x2b078a36, 0x877306b4, 0x2b019f46, 0x8770ea20, 0x2afbb43c, 0x876ecdd6,
+    0x2af5c917, 0x876cb1d6,
+  0x2aefddd8, 0x876a9621, 0x2ae9f27e, 0x87687ab7, 0x2ae4070a, 0x87665f96,
+    0x2ade1b7c, 0x876444c1,
+  0x2ad82fd2, 0x87622a35, 0x2ad2440f, 0x87600ff4, 0x2acc5831, 0x875df5fd,
+    0x2ac66c39, 0x875bdc51,
+  0x2ac08026, 0x8759c2ef, 0x2aba93f9, 0x8757a9d8, 0x2ab4a7b1, 0x8755910b,
+    0x2aaebb50, 0x87537888,
+  0x2aa8ced3, 0x87516050, 0x2aa2e23d, 0x874f4862, 0x2a9cf58c, 0x874d30bf,
+    0x2a9708c1, 0x874b1966,
+  0x2a911bdc, 0x87490258, 0x2a8b2edc, 0x8746eb94, 0x2a8541c3, 0x8744d51b,
+    0x2a7f548e, 0x8742beec,
+  0x2a796740, 0x8740a907, 0x2a7379d8, 0x873e936d, 0x2a6d8c55, 0x873c7e1e,
+    0x2a679eb8, 0x873a6919,
+  0x2a61b101, 0x8738545e, 0x2a5bc330, 0x87363fee, 0x2a55d545, 0x87342bc9,
+    0x2a4fe740, 0x873217ee,
+  0x2a49f920, 0x8730045d, 0x2a440ae7, 0x872df117, 0x2a3e1c93, 0x872bde1c,
+    0x2a382e25, 0x8729cb6b,
+  0x2a323f9e, 0x8727b905, 0x2a2c50fc, 0x8725a6e9, 0x2a266240, 0x87239518,
+    0x2a20736a, 0x87218391,
+  0x2a1a847b, 0x871f7255, 0x2a149571, 0x871d6163, 0x2a0ea64d, 0x871b50bc,
+    0x2a08b710, 0x87194060,
+  0x2a02c7b8, 0x8717304e, 0x29fcd847, 0x87152087, 0x29f6e8bb, 0x8713110a,
+    0x29f0f916, 0x871101d8,
+  0x29eb0957, 0x870ef2f1, 0x29e5197e, 0x870ce454, 0x29df298b, 0x870ad602,
+    0x29d9397f, 0x8708c7fa,
+  0x29d34958, 0x8706ba3d, 0x29cd5918, 0x8704acca, 0x29c768be, 0x87029fa3,
+    0x29c1784a, 0x870092c5,
+  0x29bb87bc, 0x86fe8633, 0x29b59715, 0x86fc79eb, 0x29afa654, 0x86fa6dee,
+    0x29a9b579, 0x86f8623b,
+  0x29a3c485, 0x86f656d3, 0x299dd377, 0x86f44bb6, 0x2997e24f, 0x86f240e3,
+    0x2991f10e, 0x86f0365c,
+  0x298bffb2, 0x86ee2c1e, 0x29860e3e, 0x86ec222c, 0x29801caf, 0x86ea1884,
+    0x297a2b07, 0x86e80f27,
+  0x29743946, 0x86e60614, 0x296e476b, 0x86e3fd4c, 0x29685576, 0x86e1f4cf,
+    0x29626368, 0x86dfec9d,
+  0x295c7140, 0x86dde4b5, 0x29567eff, 0x86dbdd18, 0x29508ca4, 0x86d9d5c6,
+    0x294a9a30, 0x86d7cebf,
+  0x2944a7a2, 0x86d5c802, 0x293eb4fb, 0x86d3c190, 0x2938c23a, 0x86d1bb69,
+    0x2932cf60, 0x86cfb58c,
+  0x292cdc6d, 0x86cdaffa, 0x2926e960, 0x86cbaab3, 0x2920f63a, 0x86c9a5b7,
+    0x291b02fa, 0x86c7a106,
+  0x29150fa1, 0x86c59c9f, 0x290f1c2f, 0x86c39883, 0x290928a3, 0x86c194b2,
+    0x290334ff, 0x86bf912c,
+  0x28fd4140, 0x86bd8df0, 0x28f74d69, 0x86bb8b00, 0x28f15978, 0x86b9885a,
+    0x28eb656e, 0x86b785ff,
+  0x28e5714b, 0x86b583ee, 0x28df7d0e, 0x86b38229, 0x28d988b8, 0x86b180ae,
+    0x28d3944a, 0x86af7f7e,
+  0x28cd9fc1, 0x86ad7e99, 0x28c7ab20, 0x86ab7dff, 0x28c1b666, 0x86a97db0,
+    0x28bbc192, 0x86a77dab,
+  0x28b5cca5, 0x86a57df2, 0x28afd7a0, 0x86a37e83, 0x28a9e281, 0x86a17f5f,
+    0x28a3ed49, 0x869f8086,
+  0x289df7f8, 0x869d81f8, 0x2898028e, 0x869b83b4, 0x28920d0a, 0x869985bc,
+    0x288c176e, 0x8697880f,
+  0x288621b9, 0x86958aac, 0x28802beb, 0x86938d94, 0x287a3604, 0x869190c7,
+    0x28744004, 0x868f9445,
+  0x286e49ea, 0x868d980e, 0x286853b8, 0x868b9c22, 0x28625d6d, 0x8689a081,
+    0x285c670a, 0x8687a52b,
+  0x2856708d, 0x8685aa20, 0x285079f7, 0x8683af5f, 0x284a8349, 0x8681b4ea,
+    0x28448c81, 0x867fbabf,
+  0x283e95a1, 0x867dc0e0, 0x28389ea8, 0x867bc74b, 0x2832a796, 0x8679ce01,
+    0x282cb06c, 0x8677d503,
+  0x2826b928, 0x8675dc4f, 0x2820c1cc, 0x8673e3e6, 0x281aca57, 0x8671ebc8,
+    0x2814d2c9, 0x866ff3f6,
+  0x280edb23, 0x866dfc6e, 0x2808e364, 0x866c0531, 0x2802eb8c, 0x866a0e3f,
+    0x27fcf39c, 0x86681798,
+  0x27f6fb92, 0x8666213c, 0x27f10371, 0x86642b2c, 0x27eb0b36, 0x86623566,
+    0x27e512e3, 0x86603feb,
+  0x27df1a77, 0x865e4abb, 0x27d921f3, 0x865c55d7, 0x27d32956, 0x865a613d,
+    0x27cd30a1, 0x86586cee,
+  0x27c737d3, 0x865678eb, 0x27c13eec, 0x86548532, 0x27bb45ed, 0x865291c4,
+    0x27b54cd6, 0x86509ea2,
+  0x27af53a6, 0x864eabcb, 0x27a95a5d, 0x864cb93e, 0x27a360fc, 0x864ac6fd,
+    0x279d6783, 0x8648d507,
+  0x27976df1, 0x8646e35c, 0x27917447, 0x8644f1fc, 0x278b7a84, 0x864300e7,
+    0x278580a9, 0x8641101d,
+  0x277f86b5, 0x863f1f9e, 0x27798caa, 0x863d2f6b, 0x27739285, 0x863b3f82,
+    0x276d9849, 0x86394fe5,
+  0x27679df4, 0x86376092, 0x2761a387, 0x8635718b, 0x275ba901, 0x863382cf,
+    0x2755ae64, 0x8631945e,
+  0x274fb3ae, 0x862fa638, 0x2749b8e0, 0x862db85e, 0x2743bdf9, 0x862bcace,
+    0x273dc2fa, 0x8629dd8a,
+  0x2737c7e3, 0x8627f091, 0x2731ccb4, 0x862603e3, 0x272bd16d, 0x86241780,
+    0x2725d60e, 0x86222b68,
+  0x271fda96, 0x86203f9c, 0x2719df06, 0x861e541a, 0x2713e35f, 0x861c68e4,
+    0x270de79f, 0x861a7df9,
+  0x2707ebc7, 0x86189359, 0x2701efd7, 0x8616a905, 0x26fbf3ce, 0x8614befb,
+    0x26f5f7ae, 0x8612d53d,
+  0x26effb76, 0x8610ebca, 0x26e9ff26, 0x860f02a3, 0x26e402bd, 0x860d19c6,
+    0x26de063d, 0x860b3135,
+  0x26d809a5, 0x860948ef, 0x26d20cf5, 0x860760f4, 0x26cc102d, 0x86057944,
+    0x26c6134d, 0x860391e0,
+  0x26c01655, 0x8601aac7, 0x26ba1945, 0x85ffc3f9, 0x26b41c1d, 0x85fddd76,
+    0x26ae1edd, 0x85fbf73f,
+  0x26a82186, 0x85fa1153, 0x26a22416, 0x85f82bb2, 0x269c268f, 0x85f6465c,
+    0x269628f0, 0x85f46152,
+  0x26902b39, 0x85f27c93, 0x268a2d6b, 0x85f09820, 0x26842f84, 0x85eeb3f7,
+    0x267e3186, 0x85ecd01a,
+  0x26783370, 0x85eaec88, 0x26723543, 0x85e90942, 0x266c36fe, 0x85e72647,
+    0x266638a1, 0x85e54397,
+  0x26603a2c, 0x85e36132, 0x265a3b9f, 0x85e17f19, 0x26543cfb, 0x85df9d4b,
+    0x264e3e40, 0x85ddbbc9,
+  0x26483f6c, 0x85dbda91, 0x26424082, 0x85d9f9a5, 0x263c417f, 0x85d81905,
+    0x26364265, 0x85d638b0,
+  0x26304333, 0x85d458a6, 0x262a43ea, 0x85d278e7, 0x26244489, 0x85d09974,
+    0x261e4511, 0x85ceba4d,
+  0x26184581, 0x85ccdb70, 0x261245da, 0x85cafcdf, 0x260c461b, 0x85c91e9a,
+    0x26064645, 0x85c740a0,
+  0x26004657, 0x85c562f1, 0x25fa4652, 0x85c3858d, 0x25f44635, 0x85c1a875,
+    0x25ee4601, 0x85bfcba9,
+  0x25e845b6, 0x85bdef28, 0x25e24553, 0x85bc12f2, 0x25dc44d9, 0x85ba3707,
+    0x25d64447, 0x85b85b68,
+  0x25d0439f, 0x85b68015, 0x25ca42de, 0x85b4a50d, 0x25c44207, 0x85b2ca50,
+    0x25be4118, 0x85b0efdf,
+  0x25b84012, 0x85af15b9, 0x25b23ef5, 0x85ad3bdf, 0x25ac3dc0, 0x85ab6250,
+    0x25a63c74, 0x85a9890d,
+  0x25a03b11, 0x85a7b015, 0x259a3997, 0x85a5d768, 0x25943806, 0x85a3ff07,
+    0x258e365d, 0x85a226f2,
+  0x2588349d, 0x85a04f28, 0x258232c6, 0x859e77a9, 0x257c30d8, 0x859ca076,
+    0x25762ed3, 0x859ac98f,
+  0x25702cb7, 0x8598f2f3, 0x256a2a83, 0x85971ca2, 0x25642839, 0x8595469d,
+    0x255e25d7, 0x859370e4,
+  0x2558235f, 0x85919b76, 0x255220cf, 0x858fc653, 0x254c1e28, 0x858df17c,
+    0x25461b6b, 0x858c1cf1,
+  0x25401896, 0x858a48b1, 0x253a15aa, 0x858874bd, 0x253412a8, 0x8586a114,
+    0x252e0f8e, 0x8584cdb7,
+  0x25280c5e, 0x8582faa5, 0x25220916, 0x858127df, 0x251c05b8, 0x857f5564,
+    0x25160243, 0x857d8335,
+  0x250ffeb7, 0x857bb152, 0x2509fb14, 0x8579dfba, 0x2503f75a, 0x85780e6e,
+    0x24fdf389, 0x85763d6d,
+  0x24f7efa2, 0x85746cb8, 0x24f1eba4, 0x85729c4e, 0x24ebe78f, 0x8570cc30,
+    0x24e5e363, 0x856efc5e,
+  0x24dfdf20, 0x856d2cd7, 0x24d9dac7, 0x856b5d9c, 0x24d3d657, 0x85698ead,
+    0x24cdd1d0, 0x8567c009,
+  0x24c7cd33, 0x8565f1b0, 0x24c1c87f, 0x856423a4, 0x24bbc3b4, 0x856255e3,
+    0x24b5bed2, 0x8560886d,
+  0x24afb9da, 0x855ebb44, 0x24a9b4cb, 0x855cee66, 0x24a3afa6, 0x855b21d3,
+    0x249daa6a, 0x8559558c,
+  0x2497a517, 0x85578991, 0x24919fae, 0x8555bde2, 0x248b9a2f, 0x8553f27e,
+    0x24859498, 0x85522766,
+  0x247f8eec, 0x85505c99, 0x24798928, 0x854e9219, 0x2473834f, 0x854cc7e3,
+    0x246d7d5e, 0x854afdfa,
+  0x24677758, 0x8549345c, 0x2461713a, 0x85476b0a, 0x245b6b07, 0x8545a204,
+    0x245564bd, 0x8543d949,
+  0x244f5e5c, 0x854210db, 0x244957e5, 0x854048b7, 0x24435158, 0x853e80e0,
+    0x243d4ab4, 0x853cb954,
+  0x243743fa, 0x853af214, 0x24313d2a, 0x85392b20, 0x242b3644, 0x85376477,
+    0x24252f47, 0x85359e1a,
+  0x241f2833, 0x8533d809, 0x2419210a, 0x85321244, 0x241319ca, 0x85304cca,
+    0x240d1274, 0x852e879d,
+  0x24070b08, 0x852cc2bb, 0x24010385, 0x852afe24, 0x23fafbec, 0x852939da,
+    0x23f4f43e, 0x852775db,
+  0x23eeec78, 0x8525b228, 0x23e8e49d, 0x8523eec1, 0x23e2dcac, 0x85222ba5,
+    0x23dcd4a4, 0x852068d6,
+  0x23d6cc87, 0x851ea652, 0x23d0c453, 0x851ce41a, 0x23cabc09, 0x851b222e,
+    0x23c4b3a9, 0x8519608d,
+  0x23beab33, 0x85179f39, 0x23b8a2a7, 0x8515de30, 0x23b29a05, 0x85141d73,
+    0x23ac914d, 0x85125d02,
+  0x23a6887f, 0x85109cdd, 0x23a07f9a, 0x850edd03, 0x239a76a0, 0x850d1d75,
+    0x23946d90, 0x850b5e34,
+  0x238e646a, 0x85099f3e, 0x23885b2e, 0x8507e094, 0x238251dd, 0x85062235,
+    0x237c4875, 0x85046423,
+  0x23763ef7, 0x8502a65c, 0x23703564, 0x8500e8e2, 0x236a2bba, 0x84ff2bb3,
+    0x236421fb, 0x84fd6ed0,
+  0x235e1826, 0x84fbb239, 0x23580e3b, 0x84f9f5ee, 0x2352043b, 0x84f839ee,
+    0x234bfa24, 0x84f67e3b,
+  0x2345eff8, 0x84f4c2d4, 0x233fe5b6, 0x84f307b8, 0x2339db5e, 0x84f14ce8,
+    0x2333d0f1, 0x84ef9265,
+  0x232dc66d, 0x84edd82d, 0x2327bbd5, 0x84ec1e41, 0x2321b126, 0x84ea64a1,
+    0x231ba662, 0x84e8ab4d,
+  0x23159b88, 0x84e6f244, 0x230f9098, 0x84e53988, 0x23098593, 0x84e38118,
+    0x23037a78, 0x84e1c8f3,
+  0x22fd6f48, 0x84e0111b, 0x22f76402, 0x84de598f, 0x22f158a7, 0x84dca24e,
+    0x22eb4d36, 0x84daeb5a,
+  0x22e541af, 0x84d934b1, 0x22df3613, 0x84d77e54, 0x22d92a61, 0x84d5c844,
+    0x22d31e9a, 0x84d4127f,
+  0x22cd12bd, 0x84d25d06, 0x22c706cb, 0x84d0a7da, 0x22c0fac4, 0x84cef2f9,
+    0x22baeea7, 0x84cd3e64,
+  0x22b4e274, 0x84cb8a1b, 0x22aed62c, 0x84c9d61f, 0x22a8c9cf, 0x84c8226e,
+    0x22a2bd5d, 0x84c66f09,
+  0x229cb0d5, 0x84c4bbf0, 0x2296a437, 0x84c30924, 0x22909785, 0x84c156a3,
+    0x228a8abd, 0x84bfa46e,
+  0x22847de0, 0x84bdf286, 0x227e70ed, 0x84bc40e9, 0x227863e5, 0x84ba8f98,
+    0x227256c8, 0x84b8de94,
+  0x226c4996, 0x84b72ddb, 0x22663c4e, 0x84b57d6f, 0x22602ef1, 0x84b3cd4f,
+    0x225a217f, 0x84b21d7a,
+  0x225413f8, 0x84b06df2, 0x224e065c, 0x84aebeb6, 0x2247f8aa, 0x84ad0fc6,
+    0x2241eae3, 0x84ab6122,
+  0x223bdd08, 0x84a9b2ca, 0x2235cf17, 0x84a804be, 0x222fc111, 0x84a656fe,
+    0x2229b2f6, 0x84a4a98a,
+  0x2223a4c5, 0x84a2fc62, 0x221d9680, 0x84a14f87, 0x22178826, 0x849fa2f7,
+    0x221179b7, 0x849df6b4,
+  0x220b6b32, 0x849c4abd, 0x22055c99, 0x849a9f12, 0x21ff4dea, 0x8498f3b3,
+    0x21f93f27, 0x849748a0,
+  0x21f3304f, 0x84959dd9, 0x21ed2162, 0x8493f35e, 0x21e71260, 0x84924930,
+    0x21e10349, 0x84909f4e,
+  0x21daf41d, 0x848ef5b7, 0x21d4e4dc, 0x848d4c6d, 0x21ced586, 0x848ba36f,
+    0x21c8c61c, 0x8489fabe,
+  0x21c2b69c, 0x84885258, 0x21bca708, 0x8486aa3e, 0x21b6975f, 0x84850271,
+    0x21b087a1, 0x84835af0,
+  0x21aa77cf, 0x8481b3bb, 0x21a467e7, 0x84800cd2, 0x219e57eb, 0x847e6636,
+    0x219847da, 0x847cbfe5,
+  0x219237b5, 0x847b19e1, 0x218c277a, 0x84797429, 0x2186172b, 0x8477cebd,
+    0x218006c8, 0x8476299e,
+  0x2179f64f, 0x847484ca, 0x2173e5c2, 0x8472e043, 0x216dd521, 0x84713c08,
+    0x2167c46b, 0x846f9819,
+  0x2161b3a0, 0x846df477, 0x215ba2c0, 0x846c5120, 0x215591cc, 0x846aae16,
+    0x214f80c4, 0x84690b58,
+  0x21496fa7, 0x846768e7, 0x21435e75, 0x8465c6c1, 0x213d4d2f, 0x846424e8,
+    0x21373bd4, 0x8462835b,
+  0x21312a65, 0x8460e21a, 0x212b18e1, 0x845f4126, 0x21250749, 0x845da07e,
+    0x211ef59d, 0x845c0022,
+  0x2118e3dc, 0x845a6012, 0x2112d206, 0x8458c04f, 0x210cc01d, 0x845720d8,
+    0x2106ae1e, 0x845581ad,
+  0x21009c0c, 0x8453e2cf, 0x20fa89e5, 0x8452443d, 0x20f477aa, 0x8450a5f7,
+    0x20ee655a, 0x844f07fd,
+  0x20e852f6, 0x844d6a50, 0x20e2407e, 0x844bccef, 0x20dc2df2, 0x844a2fda,
+    0x20d61b51, 0x84489311,
+  0x20d0089c, 0x8446f695, 0x20c9f5d3, 0x84455a66, 0x20c3e2f5, 0x8443be82,
+    0x20bdd003, 0x844222eb,
+  0x20b7bcfe, 0x844087a0, 0x20b1a9e4, 0x843eeca2, 0x20ab96b5, 0x843d51f0,
+    0x20a58373, 0x843bb78a,
+  0x209f701c, 0x843a1d70, 0x20995cb2, 0x843883a3, 0x20934933, 0x8436ea23,
+    0x208d35a0, 0x843550ee,
+  0x208721f9, 0x8433b806, 0x20810e3e, 0x84321f6b, 0x207afa6f, 0x8430871b,
+    0x2074e68c, 0x842eef18,
+  0x206ed295, 0x842d5762, 0x2068be8a, 0x842bbff8, 0x2062aa6b, 0x842a28da,
+    0x205c9638, 0x84289209,
+  0x205681f1, 0x8426fb84, 0x20506d96, 0x8425654b, 0x204a5927, 0x8423cf5f,
+    0x204444a4, 0x842239bf,
+  0x203e300d, 0x8420a46c, 0x20381b63, 0x841f0f65, 0x203206a4, 0x841d7aaa,
+    0x202bf1d2, 0x841be63c,
+  0x2025dcec, 0x841a521a, 0x201fc7f2, 0x8418be45, 0x2019b2e4, 0x84172abc,
+    0x20139dc2, 0x84159780,
+  0x200d888d, 0x84140490, 0x20077344, 0x841271ec, 0x20015de7, 0x8410df95,
+    0x1ffb4876, 0x840f4d8a,
+  0x1ff532f2, 0x840dbbcc, 0x1fef1d59, 0x840c2a5a, 0x1fe907ae, 0x840a9935,
+    0x1fe2f1ee, 0x8409085c,
+  0x1fdcdc1b, 0x840777d0, 0x1fd6c634, 0x8405e790, 0x1fd0b03a, 0x8404579d,
+    0x1fca9a2b, 0x8402c7f6,
+  0x1fc4840a, 0x8401389b, 0x1fbe6dd4, 0x83ffa98d, 0x1fb8578b, 0x83fe1acc,
+    0x1fb2412f, 0x83fc8c57,
+  0x1fac2abf, 0x83fafe2e, 0x1fa6143b, 0x83f97052, 0x1f9ffda4, 0x83f7e2c3,
+    0x1f99e6fa, 0x83f65580,
+  0x1f93d03c, 0x83f4c889, 0x1f8db96a, 0x83f33bdf, 0x1f87a285, 0x83f1af82,
+    0x1f818b8d, 0x83f02371,
+  0x1f7b7481, 0x83ee97ad, 0x1f755d61, 0x83ed0c35, 0x1f6f462f, 0x83eb810a,
+    0x1f692ee9, 0x83e9f62b,
+  0x1f63178f, 0x83e86b99, 0x1f5d0022, 0x83e6e153, 0x1f56e8a2, 0x83e5575a,
+    0x1f50d10e, 0x83e3cdad,
+  0x1f4ab968, 0x83e2444d, 0x1f44a1ad, 0x83e0bb3a, 0x1f3e89e0, 0x83df3273,
+    0x1f3871ff, 0x83dda9f9,
+  0x1f325a0b, 0x83dc21cb, 0x1f2c4204, 0x83da99ea, 0x1f2629ea, 0x83d91255,
+    0x1f2011bc, 0x83d78b0d,
+  0x1f19f97b, 0x83d60412, 0x1f13e127, 0x83d47d63, 0x1f0dc8c0, 0x83d2f701,
+    0x1f07b045, 0x83d170eb,
+  0x1f0197b8, 0x83cfeb22, 0x1efb7f17, 0x83ce65a6, 0x1ef56664, 0x83cce076,
+    0x1eef4d9d, 0x83cb5b93,
+  0x1ee934c3, 0x83c9d6fc, 0x1ee31bd6, 0x83c852b2, 0x1edd02d6, 0x83c6ceb5,
+    0x1ed6e9c3, 0x83c54b04,
+  0x1ed0d09d, 0x83c3c7a0, 0x1ecab763, 0x83c24488, 0x1ec49e17, 0x83c0c1be,
+    0x1ebe84b8, 0x83bf3f3f,
+  0x1eb86b46, 0x83bdbd0e, 0x1eb251c1, 0x83bc3b29, 0x1eac3829, 0x83bab991,
+    0x1ea61e7e, 0x83b93845,
+  0x1ea004c1, 0x83b7b746, 0x1e99eaf0, 0x83b63694, 0x1e93d10c, 0x83b4b62e,
+    0x1e8db716, 0x83b33616,
+  0x1e879d0d, 0x83b1b649, 0x1e8182f1, 0x83b036ca, 0x1e7b68c2, 0x83aeb797,
+    0x1e754e80, 0x83ad38b1,
+  0x1e6f342c, 0x83abba17, 0x1e6919c4, 0x83aa3bca, 0x1e62ff4a, 0x83a8bdca,
+    0x1e5ce4be, 0x83a74017,
+  0x1e56ca1e, 0x83a5c2b0, 0x1e50af6c, 0x83a44596, 0x1e4a94a7, 0x83a2c8c9,
+    0x1e4479cf, 0x83a14c48,
+  0x1e3e5ee5, 0x839fd014, 0x1e3843e8, 0x839e542d, 0x1e3228d9, 0x839cd893,
+    0x1e2c0db6, 0x839b5d45,
+  0x1e25f282, 0x8399e244, 0x1e1fd73a, 0x83986790, 0x1e19bbe0, 0x8396ed29,
+    0x1e13a074, 0x8395730e,
+  0x1e0d84f5, 0x8393f940, 0x1e076963, 0x83927fbf, 0x1e014dbf, 0x8391068a,
+    0x1dfb3208, 0x838f8da2,
+  0x1df5163f, 0x838e1507, 0x1deefa63, 0x838c9cb9, 0x1de8de75, 0x838b24b8,
+    0x1de2c275, 0x8389ad03,
+  0x1ddca662, 0x8388359b, 0x1dd68a3c, 0x8386be80, 0x1dd06e04, 0x838547b2,
+    0x1dca51ba, 0x8383d130,
+  0x1dc4355e, 0x83825afb, 0x1dbe18ef, 0x8380e513, 0x1db7fc6d, 0x837f6f78,
+    0x1db1dfda, 0x837dfa2a,
+  0x1dabc334, 0x837c8528, 0x1da5a67c, 0x837b1074, 0x1d9f89b1, 0x83799c0c,
+    0x1d996cd4, 0x837827f0,
+  0x1d934fe5, 0x8376b422, 0x1d8d32e4, 0x837540a1, 0x1d8715d0, 0x8373cd6c,
+    0x1d80f8ab, 0x83725a84,
+  0x1d7adb73, 0x8370e7e9, 0x1d74be29, 0x836f759b, 0x1d6ea0cc, 0x836e039a,
+    0x1d68835e, 0x836c91e5,
+  0x1d6265dd, 0x836b207d, 0x1d5c484b, 0x8369af63, 0x1d562aa6, 0x83683e95,
+    0x1d500cef, 0x8366ce14,
+  0x1d49ef26, 0x83655ddf, 0x1d43d14b, 0x8363edf8, 0x1d3db35e, 0x83627e5d,
+    0x1d37955e, 0x83610f10,
+  0x1d31774d, 0x835fa00f, 0x1d2b592a, 0x835e315b, 0x1d253af5, 0x835cc2f4,
+    0x1d1f1cae, 0x835b54da,
+  0x1d18fe54, 0x8359e70d, 0x1d12dfe9, 0x8358798c, 0x1d0cc16c, 0x83570c59,
+    0x1d06a2dd, 0x83559f72,
+  0x1d00843d, 0x835432d8, 0x1cfa658a, 0x8352c68c, 0x1cf446c5, 0x83515a8c,
+    0x1cee27ef, 0x834feed9,
+  0x1ce80906, 0x834e8373, 0x1ce1ea0c, 0x834d185a, 0x1cdbcb00, 0x834bad8e,
+    0x1cd5abe3, 0x834a430e,
+  0x1ccf8cb3, 0x8348d8dc, 0x1cc96d72, 0x83476ef6, 0x1cc34e1f, 0x8346055e,
+    0x1cbd2eba, 0x83449c12,
+  0x1cb70f43, 0x83433314, 0x1cb0efbb, 0x8341ca62, 0x1caad021, 0x834061fd,
+    0x1ca4b075, 0x833ef9e6,
+  0x1c9e90b8, 0x833d921b, 0x1c9870e9, 0x833c2a9d, 0x1c925109, 0x833ac36c,
+    0x1c8c3116, 0x83395c88,
+  0x1c861113, 0x8337f5f1, 0x1c7ff0fd, 0x83368fa7, 0x1c79d0d6, 0x833529aa,
+    0x1c73b09d, 0x8333c3fa,
+  0x1c6d9053, 0x83325e97, 0x1c676ff8, 0x8330f981, 0x1c614f8b, 0x832f94b8,
+    0x1c5b2f0c, 0x832e303c,
+  0x1c550e7c, 0x832ccc0d, 0x1c4eedda, 0x832b682b, 0x1c48cd27, 0x832a0496,
+    0x1c42ac62, 0x8328a14d,
+  0x1c3c8b8c, 0x83273e52, 0x1c366aa5, 0x8325dba4, 0x1c3049ac, 0x83247943,
+    0x1c2a28a2, 0x8323172f,
+  0x1c240786, 0x8321b568, 0x1c1de659, 0x832053ee, 0x1c17c51b, 0x831ef2c1,
+    0x1c11a3cb, 0x831d91e1,
+  0x1c0b826a, 0x831c314e, 0x1c0560f8, 0x831ad109, 0x1bff3f75, 0x83197110,
+    0x1bf91de0, 0x83181164,
+  0x1bf2fc3a, 0x8316b205, 0x1becda83, 0x831552f4, 0x1be6b8ba, 0x8313f42f,
+    0x1be096e0, 0x831295b7,
+  0x1bda74f6, 0x8311378d, 0x1bd452f9, 0x830fd9af, 0x1bce30ec, 0x830e7c1f,
+    0x1bc80ece, 0x830d1edc,
+  0x1bc1ec9e, 0x830bc1e6, 0x1bbbca5e, 0x830a653c, 0x1bb5a80c, 0x830908e0,
+    0x1baf85a9, 0x8307acd1,
+  0x1ba96335, 0x83065110, 0x1ba340b0, 0x8304f59b, 0x1b9d1e1a, 0x83039a73,
+    0x1b96fb73, 0x83023f98,
+  0x1b90d8bb, 0x8300e50b, 0x1b8ab5f2, 0x82ff8acb, 0x1b849317, 0x82fe30d7,
+    0x1b7e702c, 0x82fcd731,
+  0x1b784d30, 0x82fb7dd8, 0x1b722a23, 0x82fa24cc, 0x1b6c0705, 0x82f8cc0d,
+    0x1b65e3d7, 0x82f7739c,
+  0x1b5fc097, 0x82f61b77, 0x1b599d46, 0x82f4c3a0, 0x1b5379e5, 0x82f36c15,
+    0x1b4d5672, 0x82f214d8,
+  0x1b4732ef, 0x82f0bde8, 0x1b410f5b, 0x82ef6745, 0x1b3aebb6, 0x82ee10ef,
+    0x1b34c801, 0x82ecbae7,
+  0x1b2ea43a, 0x82eb652b, 0x1b288063, 0x82ea0fbd, 0x1b225c7b, 0x82e8ba9c,
+    0x1b1c3883, 0x82e765c8,
+  0x1b161479, 0x82e61141, 0x1b0ff05f, 0x82e4bd07, 0x1b09cc34, 0x82e3691b,
+    0x1b03a7f9, 0x82e2157c,
+  0x1afd83ad, 0x82e0c22a, 0x1af75f50, 0x82df6f25, 0x1af13ae3, 0x82de1c6d,
+    0x1aeb1665, 0x82dcca02,
+  0x1ae4f1d6, 0x82db77e5, 0x1adecd37, 0x82da2615, 0x1ad8a887, 0x82d8d492,
+    0x1ad283c7, 0x82d7835c,
+  0x1acc5ef6, 0x82d63274, 0x1ac63a14, 0x82d4e1d8, 0x1ac01522, 0x82d3918a,
+    0x1ab9f020, 0x82d24189,
+  0x1ab3cb0d, 0x82d0f1d5, 0x1aada5e9, 0x82cfa26f, 0x1aa780b6, 0x82ce5356,
+    0x1aa15b71, 0x82cd048a,
+  0x1a9b361d, 0x82cbb60b, 0x1a9510b7, 0x82ca67d9, 0x1a8eeb42, 0x82c919f5,
+    0x1a88c5bc, 0x82c7cc5e,
+  0x1a82a026, 0x82c67f14, 0x1a7c7a7f, 0x82c53217, 0x1a7654c8, 0x82c3e568,
+    0x1a702f01, 0x82c29906,
+  0x1a6a0929, 0x82c14cf1, 0x1a63e341, 0x82c00129, 0x1a5dbd49, 0x82beb5af,
+    0x1a579741, 0x82bd6a82,
+  0x1a517128, 0x82bc1fa2, 0x1a4b4aff, 0x82bad50f, 0x1a4524c6, 0x82b98aca,
+    0x1a3efe7c, 0x82b840d2,
+  0x1a38d823, 0x82b6f727, 0x1a32b1b9, 0x82b5adca, 0x1a2c8b3f, 0x82b464ba,
+    0x1a2664b5, 0x82b31bf7,
+  0x1a203e1b, 0x82b1d381, 0x1a1a1771, 0x82b08b59, 0x1a13f0b6, 0x82af437e,
+    0x1a0dc9ec, 0x82adfbf0,
+  0x1a07a311, 0x82acb4b0, 0x1a017c27, 0x82ab6dbd, 0x19fb552c, 0x82aa2717,
+    0x19f52e22, 0x82a8e0bf,
+  0x19ef0707, 0x82a79ab3, 0x19e8dfdc, 0x82a654f6, 0x19e2b8a2, 0x82a50f85,
+    0x19dc9157, 0x82a3ca62,
+  0x19d669fc, 0x82a2858c, 0x19d04292, 0x82a14104, 0x19ca1b17, 0x829ffcc8,
+    0x19c3f38d, 0x829eb8db,
+  0x19bdcbf3, 0x829d753a, 0x19b7a449, 0x829c31e7, 0x19b17c8f, 0x829aeee1,
+    0x19ab54c5, 0x8299ac29,
+  0x19a52ceb, 0x829869be, 0x199f0502, 0x829727a0, 0x1998dd09, 0x8295e5cf,
+    0x1992b4ff, 0x8294a44c,
+  0x198c8ce7, 0x82936317, 0x198664be, 0x8292222e, 0x19803c86, 0x8290e194,
+    0x197a143e, 0x828fa146,
+  0x1973ebe6, 0x828e6146, 0x196dc37e, 0x828d2193, 0x19679b07, 0x828be22e,
+    0x19617280, 0x828aa316,
+  0x195b49ea, 0x8289644b, 0x19552144, 0x828825ce, 0x194ef88e, 0x8286e79e,
+    0x1948cfc8, 0x8285a9bb,
+  0x1942a6f3, 0x82846c26, 0x193c7e0f, 0x82832edf, 0x1936551b, 0x8281f1e4,
+    0x19302c17, 0x8280b538,
+  0x192a0304, 0x827f78d8, 0x1923d9e1, 0x827e3cc6, 0x191db0af, 0x827d0102,
+    0x1917876d, 0x827bc58a,
+  0x19115e1c, 0x827a8a61, 0x190b34bb, 0x82794f84, 0x19050b4b, 0x827814f6,
+    0x18fee1cb, 0x8276dab4,
+  0x18f8b83c, 0x8275a0c0, 0x18f28e9e, 0x8274671a, 0x18ec64f0, 0x82732dc0,
+    0x18e63b33, 0x8271f4b5,
+  0x18e01167, 0x8270bbf7, 0x18d9e78b, 0x826f8386, 0x18d3bda0, 0x826e4b62,
+    0x18cd93a5, 0x826d138d,
+  0x18c7699b, 0x826bdc04, 0x18c13f82, 0x826aa4c9, 0x18bb155a, 0x82696ddc,
+    0x18b4eb22, 0x8268373c,
+  0x18aec0db, 0x826700e9, 0x18a89685, 0x8265cae4, 0x18a26c20, 0x8264952d,
+    0x189c41ab, 0x82635fc2,
+  0x18961728, 0x82622aa6, 0x188fec95, 0x8260f5d7, 0x1889c1f3, 0x825fc155,
+    0x18839742, 0x825e8d21,
+  0x187d6c82, 0x825d593a, 0x187741b2, 0x825c25a1, 0x187116d4, 0x825af255,
+    0x186aebe6, 0x8259bf57,
+  0x1864c0ea, 0x82588ca7, 0x185e95de, 0x82575a44, 0x18586ac3, 0x8256282e,
+    0x18523f9a, 0x8254f666,
+  0x184c1461, 0x8253c4eb, 0x1845e919, 0x825293be, 0x183fbdc3, 0x825162df,
+    0x1839925d, 0x8250324d,
+  0x183366e9, 0x824f0208, 0x182d3b65, 0x824dd211, 0x18270fd3, 0x824ca268,
+    0x1820e431, 0x824b730c,
+  0x181ab881, 0x824a43fe, 0x18148cc2, 0x8249153d, 0x180e60f4, 0x8247e6ca,
+    0x18083518, 0x8246b8a4,
+  0x1802092c, 0x82458acc, 0x17fbdd32, 0x82445d41, 0x17f5b129, 0x82433004,
+    0x17ef8511, 0x82420315,
+  0x17e958ea, 0x8240d673, 0x17e32cb5, 0x823faa1e, 0x17dd0070, 0x823e7e18,
+    0x17d6d41d, 0x823d525e,
+  0x17d0a7bc, 0x823c26f3, 0x17ca7b4c, 0x823afbd5, 0x17c44ecd, 0x8239d104,
+    0x17be223f, 0x8238a681,
+  0x17b7f5a3, 0x82377c4c, 0x17b1c8f8, 0x82365264, 0x17ab9c3e, 0x823528ca,
+    0x17a56f76, 0x8233ff7e,
+  0x179f429f, 0x8232d67f, 0x179915ba, 0x8231adce, 0x1792e8c6, 0x8230856a,
+    0x178cbbc4, 0x822f5d54,
+  0x17868eb3, 0x822e358b, 0x17806194, 0x822d0e10, 0x177a3466, 0x822be6e3,
+    0x17740729, 0x822ac004,
+  0x176dd9de, 0x82299971, 0x1767ac85, 0x8228732d, 0x17617f1d, 0x82274d36,
+    0x175b51a7, 0x8226278d,
+  0x17552422, 0x82250232, 0x174ef68f, 0x8223dd24, 0x1748c8ee, 0x8222b863,
+    0x17429b3e, 0x822193f1,
+  0x173c6d80, 0x82206fcc, 0x17363fb4, 0x821f4bf5, 0x173011d9, 0x821e286b,
+    0x1729e3f0, 0x821d052f,
+  0x1723b5f9, 0x821be240, 0x171d87f3, 0x821abfa0, 0x171759df, 0x82199d4d,
+    0x17112bbd, 0x82187b47,
+  0x170afd8d, 0x82175990, 0x1704cf4f, 0x82163826, 0x16fea102, 0x82151709,
+    0x16f872a7, 0x8213f63a,
+  0x16f2443e, 0x8212d5b9, 0x16ec15c7, 0x8211b586, 0x16e5e741, 0x821095a0,
+    0x16dfb8ae, 0x820f7608,
+  0x16d98a0c, 0x820e56be, 0x16d35b5c, 0x820d37c1, 0x16cd2c9f, 0x820c1912,
+    0x16c6fdd3, 0x820afab1,
+  0x16c0cef9, 0x8209dc9e, 0x16baa011, 0x8208bed8, 0x16b4711b, 0x8207a160,
+    0x16ae4217, 0x82068435,
+  0x16a81305, 0x82056758, 0x16a1e3e5, 0x82044ac9, 0x169bb4b7, 0x82032e88,
+    0x1695857b, 0x82021294,
+  0x168f5632, 0x8200f6ef, 0x168926da, 0x81ffdb96, 0x1682f774, 0x81fec08c,
+    0x167cc801, 0x81fda5cf,
+  0x1676987f, 0x81fc8b60, 0x167068f0, 0x81fb713f, 0x166a3953, 0x81fa576c,
+    0x166409a8, 0x81f93de6,
+  0x165dd9f0, 0x81f824ae, 0x1657aa29, 0x81f70bc3, 0x16517a55, 0x81f5f327,
+    0x164b4a73, 0x81f4dad8,
+  0x16451a83, 0x81f3c2d7, 0x163eea86, 0x81f2ab24, 0x1638ba7a, 0x81f193be,
+    0x16328a61, 0x81f07ca6,
+  0x162c5a3b, 0x81ef65dc, 0x16262a06, 0x81ee4f60, 0x161ff9c4, 0x81ed3932,
+    0x1619c975, 0x81ec2351,
+  0x16139918, 0x81eb0dbe, 0x160d68ad, 0x81e9f879, 0x16073834, 0x81e8e381,
+    0x160107ae, 0x81e7ced8,
+  0x15fad71b, 0x81e6ba7c, 0x15f4a679, 0x81e5a66e, 0x15ee75cb, 0x81e492ad,
+    0x15e8450e, 0x81e37f3b,
+  0x15e21445, 0x81e26c16, 0x15dbe36d, 0x81e1593f, 0x15d5b288, 0x81e046b6,
+    0x15cf8196, 0x81df347b,
+  0x15c95097, 0x81de228d, 0x15c31f89, 0x81dd10ee, 0x15bcee6f, 0x81dbff9c,
+    0x15b6bd47, 0x81daee98,
+  0x15b08c12, 0x81d9dde1, 0x15aa5acf, 0x81d8cd79, 0x15a4297f, 0x81d7bd5e,
+    0x159df821, 0x81d6ad92,
+  0x1597c6b7, 0x81d59e13, 0x1591953e, 0x81d48ee1, 0x158b63b9, 0x81d37ffe,
+    0x15853226, 0x81d27169,
+  0x157f0086, 0x81d16321, 0x1578ced9, 0x81d05527, 0x15729d1f, 0x81cf477b,
+    0x156c6b57, 0x81ce3a1d,
+  0x15663982, 0x81cd2d0c, 0x156007a0, 0x81cc204a, 0x1559d5b1, 0x81cb13d5,
+    0x1553a3b4, 0x81ca07af,
+  0x154d71aa, 0x81c8fbd6, 0x15473f94, 0x81c7f04b, 0x15410d70, 0x81c6e50d,
+    0x153adb3f, 0x81c5da1e,
+  0x1534a901, 0x81c4cf7d, 0x152e76b5, 0x81c3c529, 0x1528445d, 0x81c2bb23,
+    0x152211f8, 0x81c1b16b,
+  0x151bdf86, 0x81c0a801, 0x1515ad06, 0x81bf9ee5, 0x150f7a7a, 0x81be9617,
+    0x150947e1, 0x81bd8d97,
+  0x1503153a, 0x81bc8564, 0x14fce287, 0x81bb7d7f, 0x14f6afc7, 0x81ba75e9,
+    0x14f07cf9, 0x81b96ea0,
+  0x14ea4a1f, 0x81b867a5, 0x14e41738, 0x81b760f8, 0x14dde445, 0x81b65a99,
+    0x14d7b144, 0x81b55488,
+  0x14d17e36, 0x81b44ec4, 0x14cb4b1c, 0x81b3494f, 0x14c517f4, 0x81b24427,
+    0x14bee4c0, 0x81b13f4e,
+  0x14b8b17f, 0x81b03ac2, 0x14b27e32, 0x81af3684, 0x14ac4ad7, 0x81ae3294,
+    0x14a61770, 0x81ad2ef2,
+  0x149fe3fc, 0x81ac2b9e, 0x1499b07c, 0x81ab2898, 0x14937cee, 0x81aa25e0,
+    0x148d4954, 0x81a92376,
+  0x148715ae, 0x81a82159, 0x1480e1fa, 0x81a71f8b, 0x147aae3a, 0x81a61e0b,
+    0x14747a6d, 0x81a51cd8,
+  0x146e4694, 0x81a41bf4, 0x146812ae, 0x81a31b5d, 0x1461debc, 0x81a21b14,
+    0x145baabd, 0x81a11b1a,
+  0x145576b1, 0x81a01b6d, 0x144f4299, 0x819f1c0e, 0x14490e74, 0x819e1cfd,
+    0x1442da43, 0x819d1e3a,
+  0x143ca605, 0x819c1fc5, 0x143671bb, 0x819b219e, 0x14303d65, 0x819a23c5,
+    0x142a0902, 0x8199263a,
+  0x1423d492, 0x819828fd, 0x141da016, 0x81972c0e, 0x14176b8e, 0x81962f6d,
+    0x141136f9, 0x8195331a,
+  0x140b0258, 0x81943715, 0x1404cdaa, 0x81933b5e, 0x13fe98f1, 0x81923ff4,
+    0x13f8642a, 0x819144d9,
+  0x13f22f58, 0x81904a0c, 0x13ebfa79, 0x818f4f8d, 0x13e5c58e, 0x818e555c,
+    0x13df9097, 0x818d5b78,
+  0x13d95b93, 0x818c61e3, 0x13d32683, 0x818b689c, 0x13ccf167, 0x818a6fa3,
+    0x13c6bc3f, 0x818976f8,
+  0x13c0870a, 0x81887e9a, 0x13ba51ca, 0x8187868b, 0x13b41c7d, 0x81868eca,
+    0x13ade724, 0x81859757,
+  0x13a7b1bf, 0x8184a032, 0x13a17c4d, 0x8183a95b, 0x139b46d0, 0x8182b2d1,
+    0x13951146, 0x8181bc96,
+  0x138edbb1, 0x8180c6a9, 0x1388a60f, 0x817fd10a, 0x13827062, 0x817edbb9,
+    0x137c3aa8, 0x817de6b6,
+  0x137604e2, 0x817cf201, 0x136fcf10, 0x817bfd9b, 0x13699933, 0x817b0982,
+    0x13636349, 0x817a15b7,
+  0x135d2d53, 0x8179223a, 0x1356f752, 0x81782f0b, 0x1350c144, 0x81773c2b,
+    0x134a8b2b, 0x81764998,
+  0x13445505, 0x81755754, 0x133e1ed4, 0x8174655d, 0x1337e897, 0x817373b5,
+    0x1331b24e, 0x8172825a,
+  0x132b7bf9, 0x8171914e, 0x13254599, 0x8170a090, 0x131f0f2c, 0x816fb020,
+    0x1318d8b4, 0x816ebffe,
+  0x1312a230, 0x816dd02a, 0x130c6ba0, 0x816ce0a4, 0x13063505, 0x816bf16c,
+    0x12fffe5d, 0x816b0282,
+  0x12f9c7aa, 0x816a13e6, 0x12f390ec, 0x81692599, 0x12ed5a21, 0x81683799,
+    0x12e7234b, 0x816749e8,
+  0x12e0ec6a, 0x81665c84, 0x12dab57c, 0x81656f6f, 0x12d47e83, 0x816482a8,
+    0x12ce477f, 0x8163962f,
+  0x12c8106f, 0x8162aa04, 0x12c1d953, 0x8161be27, 0x12bba22b, 0x8160d298,
+    0x12b56af9, 0x815fe758,
+  0x12af33ba, 0x815efc65, 0x12a8fc70, 0x815e11c1, 0x12a2c51b, 0x815d276a,
+    0x129c8dba, 0x815c3d62,
+  0x1296564d, 0x815b53a8, 0x12901ed5, 0x815a6a3c, 0x1289e752, 0x8159811e,
+    0x1283afc3, 0x8158984e,
+  0x127d7829, 0x8157afcd, 0x12774083, 0x8156c799, 0x127108d2, 0x8155dfb4,
+    0x126ad116, 0x8154f81d,
+  0x1264994e, 0x815410d4, 0x125e617b, 0x815329d9, 0x1258299c, 0x8152432c,
+    0x1251f1b3, 0x81515ccd,
+  0x124bb9be, 0x815076bd, 0x124581bd, 0x814f90fb, 0x123f49b2, 0x814eab86,
+    0x1239119b, 0x814dc660,
+  0x1232d979, 0x814ce188, 0x122ca14b, 0x814bfcff, 0x12266913, 0x814b18c3,
+    0x122030cf, 0x814a34d6,
+  0x1219f880, 0x81495136, 0x1213c026, 0x81486de5, 0x120d87c1, 0x81478ae2,
+    0x12074f50, 0x8146a82e,
+  0x120116d5, 0x8145c5c7, 0x11fade4e, 0x8144e3ae, 0x11f4a5bd, 0x814401e4,
+    0x11ee6d20, 0x81432068,
+  0x11e83478, 0x81423f3a, 0x11e1fbc5, 0x81415e5a, 0x11dbc307, 0x81407dc9,
+    0x11d58a3e, 0x813f9d86,
+  0x11cf516a, 0x813ebd90, 0x11c9188b, 0x813ddde9, 0x11c2dfa2, 0x813cfe91,
+    0x11bca6ad, 0x813c1f86,
+  0x11b66dad, 0x813b40ca, 0x11b034a2, 0x813a625b, 0x11a9fb8d, 0x8139843b,
+    0x11a3c26c, 0x8138a66a,
+  0x119d8941, 0x8137c8e6, 0x1197500a, 0x8136ebb1, 0x119116c9, 0x81360ec9,
+    0x118add7d, 0x81353230,
+  0x1184a427, 0x813455e6, 0x117e6ac5, 0x813379e9, 0x11783159, 0x81329e3b,
+    0x1171f7e2, 0x8131c2db,
+  0x116bbe60, 0x8130e7c9, 0x116584d3, 0x81300d05, 0x115f4b3c, 0x812f3290,
+    0x1159119a, 0x812e5868,
+  0x1152d7ed, 0x812d7e8f, 0x114c9e35, 0x812ca505, 0x11466473, 0x812bcbc8,
+    0x11402aa6, 0x812af2da,
+  0x1139f0cf, 0x812a1a3a, 0x1133b6ed, 0x812941e8, 0x112d7d00, 0x812869e4,
+    0x11274309, 0x8127922f,
+  0x11210907, 0x8126bac8, 0x111acefb, 0x8125e3af, 0x111494e4, 0x81250ce4,
+    0x110e5ac2, 0x81243668,
+  0x11082096, 0x8123603a, 0x1101e65f, 0x81228a5a, 0x10fbac1e, 0x8121b4c8,
+    0x10f571d3, 0x8120df85,
+  0x10ef377d, 0x81200a90, 0x10e8fd1c, 0x811f35e9, 0x10e2c2b2, 0x811e6191,
+    0x10dc883c, 0x811d8d86,
+  0x10d64dbd, 0x811cb9ca, 0x10d01333, 0x811be65d, 0x10c9d89e, 0x811b133d,
+    0x10c39dff, 0x811a406c,
+  0x10bd6356, 0x81196de9, 0x10b728a3, 0x81189bb4, 0x10b0ede5, 0x8117c9ce,
+    0x10aab31d, 0x8116f836,
+  0x10a4784b, 0x811626ec, 0x109e3d6e, 0x811555f1, 0x10980287, 0x81148544,
+    0x1091c796, 0x8113b4e5,
+  0x108b8c9b, 0x8112e4d4, 0x10855195, 0x81121512, 0x107f1686, 0x8111459e,
+    0x1078db6c, 0x81107678,
+  0x1072a048, 0x810fa7a0, 0x106c651a, 0x810ed917, 0x106629e1, 0x810e0adc,
+    0x105fee9f, 0x810d3cf0,
+  0x1059b352, 0x810c6f52, 0x105377fc, 0x810ba202, 0x104d3c9b, 0x810ad500,
+    0x10470130, 0x810a084d,
+  0x1040c5bb, 0x81093be8, 0x103a8a3d, 0x81086fd1, 0x10344eb4, 0x8107a409,
+    0x102e1321, 0x8106d88f,
+  0x1027d784, 0x81060d63, 0x10219bdd, 0x81054286, 0x101b602d, 0x810477f7,
+    0x10152472, 0x8103adb6,
+  0x100ee8ad, 0x8102e3c4, 0x1008acdf, 0x81021a20, 0x10027107, 0x810150ca,
+    0xffc3524, 0x810087c3,
+  0xff5f938, 0x80ffbf0a, 0xfefbd42, 0x80fef69f, 0xfe98143, 0x80fe2e83,
+    0xfe34539, 0x80fd66b5,
+  0xfdd0926, 0x80fc9f35, 0xfd6cd08, 0x80fbd804, 0xfd090e1, 0x80fb1121,
+    0xfca54b1, 0x80fa4a8c,
+  0xfc41876, 0x80f98446, 0xfbddc32, 0x80f8be4e, 0xfb79fe4, 0x80f7f8a4,
+    0xfb1638d, 0x80f73349,
+  0xfab272b, 0x80f66e3c, 0xfa4eac0, 0x80f5a97e, 0xf9eae4c, 0x80f4e50e,
+    0xf9871ce, 0x80f420ec,
+  0xf923546, 0x80f35d19, 0xf8bf8b4, 0x80f29994, 0xf85bc19, 0x80f1d65d,
+    0xf7f7f75, 0x80f11375,
+  0xf7942c7, 0x80f050db, 0xf73060f, 0x80ef8e90, 0xf6cc94e, 0x80eecc93,
+    0xf668c83, 0x80ee0ae4,
+  0xf604faf, 0x80ed4984, 0xf5a12d1, 0x80ec8872, 0xf53d5ea, 0x80ebc7ae,
+    0xf4d98f9, 0x80eb0739,
+  0xf475bff, 0x80ea4712, 0xf411efb, 0x80e9873a, 0xf3ae1ee, 0x80e8c7b0,
+    0xf34a4d8, 0x80e80874,
+  0xf2e67b8, 0x80e74987, 0xf282a8f, 0x80e68ae8, 0xf21ed5d, 0x80e5cc98,
+    0xf1bb021, 0x80e50e96,
+  0xf1572dc, 0x80e450e2, 0xf0f358e, 0x80e3937d, 0xf08f836, 0x80e2d666,
+    0xf02bad5, 0x80e2199e,
+  0xefc7d6b, 0x80e15d24, 0xef63ff7, 0x80e0a0f8, 0xef0027b, 0x80dfe51b,
+    0xee9c4f5, 0x80df298c,
+  0xee38766, 0x80de6e4c, 0xedd49ce, 0x80ddb35a, 0xed70c2c, 0x80dcf8b7,
+    0xed0ce82, 0x80dc3e62,
+  0xeca90ce, 0x80db845b, 0xec45311, 0x80dacaa3, 0xebe154b, 0x80da1139,
+    0xeb7d77c, 0x80d9581e,
+  0xeb199a4, 0x80d89f51, 0xeab5bc3, 0x80d7e6d3, 0xea51dd8, 0x80d72ea3,
+    0xe9edfe5, 0x80d676c1,
+  0xe98a1e9, 0x80d5bf2e, 0xe9263e3, 0x80d507e9, 0xe8c25d5, 0x80d450f3,
+    0xe85e7be, 0x80d39a4b,
+  0xe7fa99e, 0x80d2e3f2, 0xe796b74, 0x80d22de7, 0xe732d42, 0x80d1782a,
+    0xe6cef07, 0x80d0c2bc,
+  0xe66b0c3, 0x80d00d9d, 0xe607277, 0x80cf58cc, 0xe5a3421, 0x80cea449,
+    0xe53f5c2, 0x80cdf015,
+  0xe4db75b, 0x80cd3c2f, 0xe4778eb, 0x80cc8898, 0xe413a72, 0x80cbd54f,
+    0xe3afbf0, 0x80cb2255,
+  0xe34bd66, 0x80ca6fa9, 0xe2e7ed2, 0x80c9bd4c, 0xe284036, 0x80c90b3d,
+    0xe220191, 0x80c8597c,
+  0xe1bc2e4, 0x80c7a80a, 0xe15842e, 0x80c6f6e7, 0xe0f456f, 0x80c64612,
+    0xe0906a7, 0x80c5958b,
+  0xe02c7d7, 0x80c4e553, 0xdfc88fe, 0x80c4356a, 0xdf64a1c, 0x80c385cf,
+    0xdf00b32, 0x80c2d682,
+  0xde9cc40, 0x80c22784, 0xde38d44, 0x80c178d4, 0xddd4e40, 0x80c0ca73,
+    0xdd70f34, 0x80c01c60,
+  0xdd0d01f, 0x80bf6e9c, 0xdca9102, 0x80bec127, 0xdc451dc, 0x80be13ff,
+    0xdbe12ad, 0x80bd6727,
+  0xdb7d376, 0x80bcba9d, 0xdb19437, 0x80bc0e61, 0xdab54ef, 0x80bb6274,
+    0xda5159f, 0x80bab6d5,
+  0xd9ed646, 0x80ba0b85, 0xd9896e5, 0x80b96083, 0xd92577b, 0x80b8b5d0,
+    0xd8c1809, 0x80b80b6c,
+  0xd85d88f, 0x80b76156, 0xd7f990c, 0x80b6b78e, 0xd795982, 0x80b60e15,
+    0xd7319ee, 0x80b564ea,
+  0xd6cda53, 0x80b4bc0e, 0xd669aaf, 0x80b41381, 0xd605b03, 0x80b36b42,
+    0xd5a1b4f, 0x80b2c351,
+  0xd53db92, 0x80b21baf, 0xd4d9bcd, 0x80b1745c, 0xd475c00, 0x80b0cd57,
+    0xd411c2b, 0x80b026a1,
+  0xd3adc4e, 0x80af8039, 0xd349c68, 0x80aeda20, 0xd2e5c7b, 0x80ae3455,
+    0xd281c85, 0x80ad8ed9,
+  0xd21dc87, 0x80ace9ab, 0xd1b9c81, 0x80ac44cc, 0xd155c73, 0x80aba03b,
+    0xd0f1c5d, 0x80aafbf9,
+  0xd08dc3f, 0x80aa5806, 0xd029c18, 0x80a9b461, 0xcfc5bea, 0x80a9110b,
+    0xcf61bb4, 0x80a86e03,
+  0xcefdb76, 0x80a7cb49, 0xce99b2f, 0x80a728df, 0xce35ae1, 0x80a686c2,
+    0xcdd1a8b, 0x80a5e4f5,
+  0xcd6da2d, 0x80a54376, 0xcd099c7, 0x80a4a245, 0xcca5959, 0x80a40163,
+    0xcc418e3, 0x80a360d0,
+  0xcbdd865, 0x80a2c08b, 0xcb797e0, 0x80a22095, 0xcb15752, 0x80a180ed,
+    0xcab16bd, 0x80a0e194,
+  0xca4d620, 0x80a04289, 0xc9e957b, 0x809fa3cd, 0xc9854cf, 0x809f0560,
+    0xc92141a, 0x809e6741,
+  0xc8bd35e, 0x809dc971, 0xc85929a, 0x809d2bef, 0xc7f51cf, 0x809c8ebc,
+    0xc7910fb, 0x809bf1d7,
+  0xc72d020, 0x809b5541, 0xc6c8f3e, 0x809ab8fa, 0xc664e53, 0x809a1d01,
+    0xc600d61, 0x80998157,
+  0xc59cc68, 0x8098e5fb, 0xc538b66, 0x80984aee, 0xc4d4a5d, 0x8097b030,
+    0xc47094d, 0x809715c0,
+  0xc40c835, 0x80967b9f, 0xc3a8715, 0x8095e1cc, 0xc3445ee, 0x80954848,
+    0xc2e04c0, 0x8094af13,
+  0xc27c389, 0x8094162c, 0xc21824c, 0x80937d93, 0xc1b4107, 0x8092e54a,
+    0xc14ffba, 0x80924d4f,
+  0xc0ebe66, 0x8091b5a2, 0xc087d0a, 0x80911e44, 0xc023ba7, 0x80908735,
+    0xbfbfa3d, 0x808ff074,
+  0xbf5b8cb, 0x808f5a02, 0xbef7752, 0x808ec3df, 0xbe935d2, 0x808e2e0a,
+    0xbe2f44a, 0x808d9884,
+  0xbdcb2bb, 0x808d034c, 0xbd67124, 0x808c6e63, 0xbd02f87, 0x808bd9c9,
+    0xbc9ede2, 0x808b457d,
+  0xbc3ac35, 0x808ab180, 0xbbd6a82, 0x808a1dd2, 0xbb728c7, 0x80898a72,
+    0xbb0e705, 0x8088f761,
+  0xbaaa53b, 0x8088649e, 0xba4636b, 0x8087d22a, 0xb9e2193, 0x80874005,
+    0xb97dfb5, 0x8086ae2e,
+  0xb919dcf, 0x80861ca6, 0xb8b5be1, 0x80858b6c, 0xb8519ed, 0x8084fa82,
+    0xb7ed7f2, 0x808469e5,
+  0xb7895f0, 0x8083d998, 0xb7253e6, 0x80834999, 0xb6c11d5, 0x8082b9e9,
+    0xb65cfbe, 0x80822a87,
+  0xb5f8d9f, 0x80819b74, 0xb594b7a, 0x80810cb0, 0xb53094d, 0x80807e3a,
+    0xb4cc719, 0x807ff013,
+  0xb4684df, 0x807f623b, 0xb40429d, 0x807ed4b1, 0xb3a0055, 0x807e4776,
+    0xb33be05, 0x807dba89,
+  0xb2d7baf, 0x807d2dec, 0xb273952, 0x807ca19c, 0xb20f6ee, 0x807c159c,
+    0xb1ab483, 0x807b89ea,
+  0xb147211, 0x807afe87, 0xb0e2f98, 0x807a7373, 0xb07ed19, 0x8079e8ad,
+    0xb01aa92, 0x80795e36,
+  0xafb6805, 0x8078d40d, 0xaf52571, 0x80784a33, 0xaeee2d7, 0x8077c0a8,
+    0xae8a036, 0x8077376c,
+  0xae25d8d, 0x8076ae7e, 0xadc1adf, 0x807625df, 0xad5d829, 0x80759d8e,
+    0xacf956d, 0x8075158c,
+  0xac952aa, 0x80748dd9, 0xac30fe1, 0x80740675, 0xabccd11, 0x80737f5f,
+    0xab68a3a, 0x8072f898,
+  0xab0475c, 0x8072721f, 0xaaa0478, 0x8071ebf6, 0xaa3c18e, 0x8071661a,
+    0xa9d7e9d, 0x8070e08e,
+  0xa973ba5, 0x80705b50, 0xa90f8a7, 0x806fd661, 0xa8ab5a2, 0x806f51c1,
+    0xa847297, 0x806ecd6f,
+  0xa7e2f85, 0x806e496c, 0xa77ec6d, 0x806dc5b8, 0xa71a94f, 0x806d4253,
+    0xa6b662a, 0x806cbf3c,
+  0xa6522fe, 0x806c3c74, 0xa5edfcc, 0x806bb9fa, 0xa589c94, 0x806b37cf,
+    0xa525955, 0x806ab5f3,
+  0xa4c1610, 0x806a3466, 0xa45d2c5, 0x8069b327, 0xa3f8f73, 0x80693237,
+    0xa394c1b, 0x8068b196,
+  0xa3308bd, 0x80683143, 0xa2cc558, 0x8067b13f, 0xa2681ed, 0x8067318a,
+    0xa203e7c, 0x8066b224,
+  0xa19fb04, 0x8066330c, 0xa13b787, 0x8065b443, 0xa0d7403, 0x806535c9,
+    0xa073079, 0x8064b79d,
+  0xa00ece8, 0x806439c0, 0x9faa952, 0x8063bc32, 0x9f465b5, 0x80633ef3,
+    0x9ee2213, 0x8062c202,
+  0x9e7de6a, 0x80624560, 0x9e19abb, 0x8061c90c, 0x9db5706, 0x80614d08,
+    0x9d5134b, 0x8060d152,
+  0x9cecf89, 0x806055eb, 0x9c88bc2, 0x805fdad2, 0x9c247f5, 0x805f6009,
+    0x9bc0421, 0x805ee58e,
+  0x9b5c048, 0x805e6b62, 0x9af7c69, 0x805df184, 0x9a93884, 0x805d77f5,
+    0x9a2f498, 0x805cfeb5,
+  0x99cb0a7, 0x805c85c4, 0x9966cb0, 0x805c0d21, 0x99028b3, 0x805b94ce,
+    0x989e4b0, 0x805b1cc8,
+  0x983a0a7, 0x805aa512, 0x97d5c99, 0x805a2daa, 0x9771884, 0x8059b692,
+    0x970d46a, 0x80593fc7,
+  0x96a9049, 0x8058c94c, 0x9644c23, 0x8058531f, 0x95e07f8, 0x8057dd41,
+    0x957c3c6, 0x805767b2,
+  0x9517f8f, 0x8056f272, 0x94b3b52, 0x80567d80, 0x944f70f, 0x805608dd,
+    0x93eb2c6, 0x80559489,
+  0x9386e78, 0x80552084, 0x9322a24, 0x8054accd, 0x92be5ca, 0x80543965,
+    0x925a16b, 0x8053c64c,
+  0x91f5d06, 0x80535381, 0x919189c, 0x8052e106, 0x912d42c, 0x80526ed9,
+    0x90c8fb6, 0x8051fcfb,
+  0x9064b3a, 0x80518b6b, 0x90006ba, 0x80511a2b, 0x8f9c233, 0x8050a939,
+    0x8f37da7, 0x80503896,
+  0x8ed3916, 0x804fc841, 0x8e6f47f, 0x804f583c, 0x8e0afe2, 0x804ee885,
+    0x8da6b40, 0x804e791d,
+  0x8d42699, 0x804e0a04, 0x8cde1ec, 0x804d9b39, 0x8c79d3a, 0x804d2cbd,
+    0x8c15882, 0x804cbe90,
+  0x8bb13c5, 0x804c50b2, 0x8b4cf02, 0x804be323, 0x8ae8a3a, 0x804b75e2,
+    0x8a8456d, 0x804b08f0,
+  0x8a2009a, 0x804a9c4d, 0x89bbbc3, 0x804a2ff9, 0x89576e5, 0x8049c3f3,
+    0x88f3203, 0x8049583d,
+  0x888ed1b, 0x8048ecd5, 0x882a82e, 0x804881bb, 0x87c633c, 0x804816f1,
+    0x8761e44, 0x8047ac75,
+  0x86fd947, 0x80474248, 0x8699445, 0x8046d86a, 0x8634f3e, 0x80466edb,
+    0x85d0a32, 0x8046059b,
+  0x856c520, 0x80459ca9, 0x850800a, 0x80453406, 0x84a3aee, 0x8044cbb2,
+    0x843f5cd, 0x804463ad,
+  0x83db0a7, 0x8043fbf6, 0x8376b7c, 0x8043948e, 0x831264c, 0x80432d75,
+    0x82ae117, 0x8042c6ab,
+  0x8249bdd, 0x80426030, 0x81e569d, 0x8041fa03, 0x8181159, 0x80419425,
+    0x811cc10, 0x80412e96,
+  0x80b86c2, 0x8040c956, 0x805416e, 0x80406465, 0x7fefc16, 0x803fffc2,
+    0x7f8b6b9, 0x803f9b6f,
+  0x7f27157, 0x803f376a, 0x7ec2bf0, 0x803ed3b3, 0x7e5e685, 0x803e704c,
+    0x7dfa114, 0x803e0d34,
+  0x7d95b9e, 0x803daa6a, 0x7d31624, 0x803d47ef, 0x7ccd0a5, 0x803ce5c3,
+    0x7c68b21, 0x803c83e5,
+  0x7c04598, 0x803c2257, 0x7ba000b, 0x803bc117, 0x7b3ba78, 0x803b6026,
+    0x7ad74e1, 0x803aff84,
+  0x7a72f45, 0x803a9f31, 0x7a0e9a5, 0x803a3f2d, 0x79aa400, 0x8039df77,
+    0x7945e56, 0x80398010,
+  0x78e18a7, 0x803920f8, 0x787d2f4, 0x8038c22f, 0x7818d3c, 0x803863b5,
+    0x77b4780, 0x80380589,
+  0x77501be, 0x8037a7ac, 0x76ebbf9, 0x80374a1f, 0x768762e, 0x8036ece0,
+    0x762305f, 0x80368fef,
+  0x75bea8c, 0x8036334e, 0x755a4b4, 0x8035d6fb, 0x74f5ed7, 0x80357af8,
+    0x74918f6, 0x80351f43,
+  0x742d311, 0x8034c3dd, 0x73c8d27, 0x803468c5, 0x7364738, 0x80340dfd,
+    0x7300145, 0x8033b383,
+  0x729bb4e, 0x80335959, 0x7237552, 0x8032ff7d, 0x71d2f52, 0x8032a5ef,
+    0x716e94e, 0x80324cb1,
+  0x710a345, 0x8031f3c2, 0x70a5d37, 0x80319b21, 0x7041726, 0x803142cf,
+    0x6fdd110, 0x8030eacd,
+  0x6f78af6, 0x80309318, 0x6f144d7, 0x80303bb3, 0x6eafeb4, 0x802fe49d,
+    0x6e4b88d, 0x802f8dd5,
+  0x6de7262, 0x802f375d, 0x6d82c32, 0x802ee133, 0x6d1e5fe, 0x802e8b58,
+    0x6cb9fc6, 0x802e35cb,
+  0x6c5598a, 0x802de08e, 0x6bf1349, 0x802d8ba0, 0x6b8cd05, 0x802d3700,
+    0x6b286bc, 0x802ce2af,
+  0x6ac406f, 0x802c8ead, 0x6a5fa1e, 0x802c3afa, 0x69fb3c9, 0x802be796,
+    0x6996d70, 0x802b9480,
+  0x6932713, 0x802b41ba, 0x68ce0b2, 0x802aef42, 0x6869a4c, 0x802a9d19,
+    0x68053e3, 0x802a4b3f,
+  0x67a0d76, 0x8029f9b4, 0x673c704, 0x8029a878, 0x66d808f, 0x8029578b,
+    0x6673a16, 0x802906ec,
+  0x660f398, 0x8028b69c, 0x65aad17, 0x8028669b, 0x6546692, 0x802816e9,
+    0x64e2009, 0x8027c786,
+  0x647d97c, 0x80277872, 0x64192eb, 0x802729ad, 0x63b4c57, 0x8026db36,
+    0x63505be, 0x80268d0e,
+  0x62ebf22, 0x80263f36, 0x6287882, 0x8025f1ac, 0x62231de, 0x8025a471,
+    0x61beb36, 0x80255784,
+  0x615a48b, 0x80250ae7, 0x60f5ddc, 0x8024be99, 0x6091729, 0x80247299,
+    0x602d072, 0x802426e8,
+  0x5fc89b8, 0x8023db86, 0x5f642fa, 0x80239073, 0x5effc38, 0x802345af,
+    0x5e9b572, 0x8022fb3a,
+  0x5e36ea9, 0x8022b114, 0x5dd27dd, 0x8022673c, 0x5d6e10c, 0x80221db3,
+    0x5d09a38, 0x8021d47a,
+  0x5ca5361, 0x80218b8f, 0x5c40c86, 0x802142f3, 0x5bdc5a7, 0x8020faa6,
+    0x5b77ec5, 0x8020b2a7,
+  0x5b137df, 0x80206af8, 0x5aaf0f6, 0x80202397, 0x5a4aa09, 0x801fdc86,
+    0x59e6319, 0x801f95c3,
+  0x5981c26, 0x801f4f4f, 0x591d52f, 0x801f092a, 0x58b8e34, 0x801ec354,
+    0x5854736, 0x801e7dcd,
+  0x57f0035, 0x801e3895, 0x578b930, 0x801df3ab, 0x5727228, 0x801daf11,
+    0x56c2b1c, 0x801d6ac5,
+  0x565e40d, 0x801d26c8, 0x55f9cfb, 0x801ce31a, 0x55955e6, 0x801c9fbb,
+    0x5530ecd, 0x801c5cab,
+  0x54cc7b1, 0x801c19ea, 0x5468092, 0x801bd777, 0x540396f, 0x801b9554,
+    0x539f249, 0x801b537f,
+  0x533ab20, 0x801b11fa, 0x52d63f4, 0x801ad0c3, 0x5271cc4, 0x801a8fdb,
+    0x520d592, 0x801a4f42,
+  0x51a8e5c, 0x801a0ef8, 0x5144723, 0x8019cefd, 0x50dffe7, 0x80198f50,
+    0x507b8a8, 0x80194ff3,
+  0x5017165, 0x801910e4, 0x4fb2a20, 0x8018d225, 0x4f4e2d8, 0x801893b4,
+    0x4ee9b8c, 0x80185592,
+  0x4e8543e, 0x801817bf, 0x4e20cec, 0x8017da3b, 0x4dbc597, 0x80179d06,
+    0x4d57e40, 0x80176020,
+  0x4cf36e5, 0x80172388, 0x4c8ef88, 0x8016e740, 0x4c2a827, 0x8016ab46,
+    0x4bc60c4, 0x80166f9c,
+  0x4b6195d, 0x80163440, 0x4afd1f4, 0x8015f933, 0x4a98a88, 0x8015be75,
+    0x4a34319, 0x80158406,
+  0x49cfba7, 0x801549e6, 0x496b432, 0x80151015, 0x4906cbb, 0x8014d693,
+    0x48a2540, 0x80149d5f,
+  0x483ddc3, 0x8014647b, 0x47d9643, 0x80142be5, 0x4774ec1, 0x8013f39e,
+    0x471073b, 0x8013bba7,
+  0x46abfb3, 0x801383fe, 0x4647828, 0x80134ca4, 0x45e309a, 0x80131599,
+    0x457e90a, 0x8012dedd,
+  0x451a177, 0x8012a86f, 0x44b59e1, 0x80127251, 0x4451249, 0x80123c82,
+    0x43ecaae, 0x80120701,
+  0x4388310, 0x8011d1d0, 0x4323b70, 0x80119ced, 0x42bf3cd, 0x80116859,
+    0x425ac28, 0x80113414,
+  0x41f6480, 0x8011001f, 0x4191cd5, 0x8010cc78, 0x412d528, 0x8010991f,
+    0x40c8d79, 0x80106616,
+  0x40645c7, 0x8010335c, 0x3fffe12, 0x801000f1, 0x3f9b65b, 0x800fced4,
+    0x3f36ea2, 0x800f9d07,
+  0x3ed26e6, 0x800f6b88, 0x3e6df28, 0x800f3a59, 0x3e09767, 0x800f0978,
+    0x3da4fa4, 0x800ed8e6,
+  0x3d407df, 0x800ea8a3, 0x3cdc017, 0x800e78af, 0x3c7784d, 0x800e490a,
+    0x3c13080, 0x800e19b4,
+  0x3bae8b2, 0x800deaad, 0x3b4a0e0, 0x800dbbf5, 0x3ae590d, 0x800d8d8b,
+    0x3a81137, 0x800d5f71,
+  0x3a1c960, 0x800d31a5, 0x39b8185, 0x800d0429, 0x39539a9, 0x800cd6fb,
+    0x38ef1ca, 0x800caa1c,
+  0x388a9ea, 0x800c7d8c, 0x3826207, 0x800c514c, 0x37c1a22, 0x800c255a,
+    0x375d23a, 0x800bf9b7,
+  0x36f8a51, 0x800bce63, 0x3694265, 0x800ba35d, 0x362fa78, 0x800b78a7,
+    0x35cb288, 0x800b4e40,
+  0x3566a96, 0x800b2427, 0x35022a2, 0x800afa5e, 0x349daac, 0x800ad0e3,
+    0x34392b4, 0x800aa7b8,
+  0x33d4abb, 0x800a7edb, 0x33702bf, 0x800a564e, 0x330bac1, 0x800a2e0f,
+    0x32a72c1, 0x800a061f,
+  0x3242abf, 0x8009de7e, 0x31de2bb, 0x8009b72c, 0x3179ab5, 0x80099029,
+    0x31152ae, 0x80096975,
+  0x30b0aa4, 0x80094310, 0x304c299, 0x80091cf9, 0x2fe7a8c, 0x8008f732,
+    0x2f8327d, 0x8008d1ba,
+  0x2f1ea6c, 0x8008ac90, 0x2eba259, 0x800887b6, 0x2e55a44, 0x8008632a,
+    0x2df122e, 0x80083eed,
+  0x2d8ca16, 0x80081b00, 0x2d281fc, 0x8007f761, 0x2cc39e1, 0x8007d411,
+    0x2c5f1c3, 0x8007b110,
+  0x2bfa9a4, 0x80078e5e, 0x2b96184, 0x80076bfb, 0x2b31961, 0x800749e7,
+    0x2acd13d, 0x80072822,
+  0x2a68917, 0x800706ac, 0x2a040f0, 0x8006e585, 0x299f8c7, 0x8006c4ac,
+    0x293b09c, 0x8006a423,
+  0x28d6870, 0x800683e8, 0x2872043, 0x800663fd, 0x280d813, 0x80064460,
+    0x27a8fe2, 0x80062513,
+  0x27447b0, 0x80060614, 0x26dff7c, 0x8005e764, 0x267b747, 0x8005c904,
+    0x2616f10, 0x8005aaf2,
+  0x25b26d7, 0x80058d2f, 0x254de9e, 0x80056fbb, 0x24e9662, 0x80055296,
+    0x2484e26, 0x800535c0,
+  0x24205e8, 0x80051939, 0x23bbda8, 0x8004fd00, 0x2357567, 0x8004e117,
+    0x22f2d25, 0x8004c57d,
+  0x228e4e2, 0x8004aa32, 0x2229c9d, 0x80048f35, 0x21c5457, 0x80047488,
+    0x2160c0f, 0x80045a29,
+  0x20fc3c6, 0x8004401a, 0x2097b7c, 0x80042659, 0x2033331, 0x80040ce7,
+    0x1fceae4, 0x8003f3c5,
+  0x1f6a297, 0x8003daf1, 0x1f05a48, 0x8003c26c, 0x1ea11f7, 0x8003aa36,
+    0x1e3c9a6, 0x8003924f,
+  0x1dd8154, 0x80037ab7, 0x1d73900, 0x8003636e, 0x1d0f0ab, 0x80034c74,
+    0x1caa855, 0x800335c9,
+  0x1c45ffe, 0x80031f6d, 0x1be17a6, 0x80030960, 0x1b7cf4d, 0x8002f3a1,
+    0x1b186f3, 0x8002de32,
+  0x1ab3e97, 0x8002c912, 0x1a4f63b, 0x8002b440, 0x19eaddd, 0x80029fbe,
+    0x198657f, 0x80028b8a,
+  0x1921d20, 0x800277a6, 0x18bd4bf, 0x80026410, 0x1858c5e, 0x800250c9,
+    0x17f43fc, 0x80023dd2,
+  0x178fb99, 0x80022b29, 0x172b335, 0x800218cf, 0x16c6ad0, 0x800206c4,
+    0x166226a, 0x8001f508,
+  0x15fda03, 0x8001e39b, 0x159919c, 0x8001d27d, 0x1534934, 0x8001c1ae,
+    0x14d00ca, 0x8001b12e,
+  0x146b860, 0x8001a0fd, 0x1406ff6, 0x8001911b, 0x13a278a, 0x80018187,
+    0x133df1e, 0x80017243,
+  0x12d96b1, 0x8001634e, 0x1274e43, 0x800154a7, 0x12105d5, 0x80014650,
+    0x11abd66, 0x80013847,
+  0x11474f6, 0x80012a8e, 0x10e2c85, 0x80011d23, 0x107e414, 0x80011008,
+    0x1019ba2, 0x8001033b,
+  0xfb5330, 0x8000f6bd, 0xf50abd, 0x8000ea8e, 0xeec249, 0x8000deaf, 0xe879d5,
+    0x8000d31e,
+  0xe23160, 0x8000c7dc, 0xdbe8eb, 0x8000bce9, 0xd5a075, 0x8000b245, 0xcf57ff,
+    0x8000a7f0,
+  0xc90f88, 0x80009dea, 0xc2c711, 0x80009433, 0xbc7e99, 0x80008aca, 0xb63621,
+    0x800081b1,
+  0xafeda8, 0x800078e7, 0xa9a52f, 0x8000706c, 0xa35cb5, 0x8000683f, 0x9d143b,
+    0x80006062,
+  0x96cbc1, 0x800058d4, 0x908346, 0x80005194, 0x8a3acb, 0x80004aa4, 0x83f250,
+    0x80004402,
+  0x7da9d4, 0x80003daf, 0x776159, 0x800037ac, 0x7118dc, 0x800031f7, 0x6ad060,
+    0x80002c91,
+  0x6487e3, 0x8000277a, 0x5e3f66, 0x800022b3, 0x57f6e9, 0x80001e3a, 0x51ae6b,
+    0x80001a10,
+  0x4b65ee, 0x80001635, 0x451d70, 0x800012a9, 0x3ed4f2, 0x80000f6c, 0x388c74,
+    0x80000c7e,
+  0x3243f5, 0x800009df, 0x2bfb77, 0x8000078e, 0x25b2f8, 0x8000058d, 0x1f6a7a,
+    0x800003db,
+  0x1921fb, 0x80000278, 0x12d97c, 0x80000163, 0xc90fe, 0x8000009e, 0x6487f,
+    0x80000027,
+
+};
+
+/**    
+* \par    
+* cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>    
+* \par    
+* C command to generate the table    
+* <pre>    
+* for(i = 0; i< N; i++)    
+* {    
+*   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+* } </pre>    
+* \par    
+* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>    
+* \par    
+* Then converted to q31 format by multiplying with 2^31 and saturated if required.    
+*/
+
+
+static const q31_t cos_factorsQ31_128[128] = {
+  0x7fff6216, 0x7ffa72d1, 0x7ff09478, 0x7fe1c76b, 0x7fce0c3e, 0x7fb563b3,
+  0x7f97cebd, 0x7f754e80,
+  0x7f4de451, 0x7f2191b4, 0x7ef05860, 0x7eba3a39, 0x7e7f3957, 0x7e3f57ff,
+  0x7dfa98a8, 0x7db0fdf8,
+  0x7d628ac6, 0x7d0f4218, 0x7cb72724, 0x7c5a3d50, 0x7bf88830, 0x7b920b89,
+  0x7b26cb4f, 0x7ab6cba4,
+  0x7a4210d8, 0x79c89f6e, 0x794a7c12, 0x78c7aba2, 0x78403329, 0x77b417df,
+  0x77235f2d, 0x768e0ea6,
+  0x75f42c0b, 0x7555bd4c, 0x74b2c884, 0x740b53fb, 0x735f6626, 0x72af05a7,
+  0x71fa3949, 0x71410805,
+  0x708378ff, 0x6fc19385, 0x6efb5f12, 0x6e30e34a, 0x6d6227fa, 0x6c8f351c,
+  0x6bb812d1, 0x6adcc964,
+  0x69fd614a, 0x6919e320, 0x683257ab, 0x6746c7d8, 0x66573cbb, 0x6563bf92,
+  0x646c59bf, 0x637114cc,
+  0x6271fa69, 0x616f146c, 0x60686ccf, 0x5f5e0db3, 0x5e50015d, 0x5d3e5237,
+  0x5c290acc, 0x5b1035cf,
+  0x59f3de12, 0x58d40e8c, 0x57b0d256, 0x568a34a9, 0x556040e2, 0x5433027d,
+  0x53028518, 0x51ced46e,
+  0x5097fc5e, 0x4f5e08e3, 0x4e210617, 0x4ce10034, 0x4b9e0390, 0x4a581c9e,
+  0x490f57ee, 0x47c3c22f,
+  0x46756828, 0x452456bd, 0x43d09aed, 0x427a41d0, 0x4121589b, 0x3fc5ec98,
+  0x3e680b2c, 0x3d07c1d6,
+  0x3ba51e29, 0x3a402dd2, 0x38d8fe93, 0x376f9e46, 0x36041ad9, 0x34968250,
+  0x3326e2c3, 0x31b54a5e,
+  0x3041c761, 0x2ecc681e, 0x2d553afc, 0x2bdc4e6f, 0x2a61b101, 0x28e5714b,
+  0x27679df4, 0x25e845b6,
+  0x24677758, 0x22e541af, 0x2161b3a0, 0x1fdcdc1b, 0x1e56ca1e, 0x1ccf8cb3,
+  0x1b4732ef, 0x19bdcbf3,
+  0x183366e9, 0x16a81305, 0x151bdf86, 0x138edbb1, 0x120116d5, 0x1072a048,
+  0xee38766, 0xd53db92,
+  0xbc3ac35, 0xa3308bd, 0x8a2009a, 0x710a345, 0x57f0035, 0x3ed26e6, 0x25b26d7,
+  0xc90f88,
+};
+
+static const q31_t cos_factorsQ31_512[512] = {
+  0x7ffff621, 0x7fffa72c, 0x7fff0943, 0x7ffe1c65, 0x7ffce093, 0x7ffb55ce,
+  0x7ff97c18, 0x7ff75370,
+  0x7ff4dbd9, 0x7ff21553, 0x7feeffe1, 0x7feb9b85, 0x7fe7e841, 0x7fe3e616,
+  0x7fdf9508, 0x7fdaf519,
+  0x7fd6064c, 0x7fd0c8a3, 0x7fcb3c23, 0x7fc560cf, 0x7fbf36aa, 0x7fb8bdb8,
+  0x7fb1f5fc, 0x7faadf7c,
+  0x7fa37a3c, 0x7f9bc640, 0x7f93c38c, 0x7f8b7227, 0x7f82d214, 0x7f79e35a,
+  0x7f70a5fe, 0x7f671a05,
+  0x7f5d3f75, 0x7f531655, 0x7f489eaa, 0x7f3dd87c, 0x7f32c3d1, 0x7f2760af,
+  0x7f1baf1e, 0x7f0faf25,
+  0x7f0360cb, 0x7ef6c418, 0x7ee9d914, 0x7edc9fc6, 0x7ecf1837, 0x7ec14270,
+  0x7eb31e78, 0x7ea4ac58,
+  0x7e95ec1a, 0x7e86ddc6, 0x7e778166, 0x7e67d703, 0x7e57dea7, 0x7e47985b,
+  0x7e37042a, 0x7e26221f,
+  0x7e14f242, 0x7e0374a0, 0x7df1a942, 0x7ddf9034, 0x7dcd2981, 0x7dba7534,
+  0x7da77359, 0x7d9423fc,
+  0x7d808728, 0x7d6c9ce9, 0x7d58654d, 0x7d43e05e, 0x7d2f0e2b, 0x7d19eebf,
+  0x7d048228, 0x7ceec873,
+  0x7cd8c1ae, 0x7cc26de5, 0x7cabcd28, 0x7c94df83, 0x7c7da505, 0x7c661dbc,
+  0x7c4e49b7, 0x7c362904,
+  0x7c1dbbb3, 0x7c0501d2, 0x7bebfb70, 0x7bd2a89e, 0x7bb9096b, 0x7b9f1de6,
+  0x7b84e61f, 0x7b6a6227,
+  0x7b4f920e, 0x7b3475e5, 0x7b190dbc, 0x7afd59a4, 0x7ae159ae, 0x7ac50dec,
+  0x7aa8766f, 0x7a8b9348,
+  0x7a6e648a, 0x7a50ea47, 0x7a332490, 0x7a151378, 0x79f6b711, 0x79d80f6f,
+  0x79b91ca4, 0x7999dec4,
+  0x797a55e0, 0x795a820e, 0x793a6361, 0x7919f9ec, 0x78f945c3, 0x78d846fb,
+  0x78b6fda8, 0x789569df,
+  0x78738bb3, 0x7851633b, 0x782ef08b, 0x780c33b8, 0x77e92cd9, 0x77c5dc01,
+  0x77a24148, 0x777e5cc3,
+  0x775a2e89, 0x7735b6af, 0x7710f54c, 0x76ebea77, 0x76c69647, 0x76a0f8d2,
+  0x767b1231, 0x7654e279,
+  0x762e69c4, 0x7607a828, 0x75e09dbd, 0x75b94a9c, 0x7591aedd, 0x7569ca99,
+  0x75419de7, 0x751928e0,
+  0x74f06b9e, 0x74c7663a, 0x749e18cd, 0x74748371, 0x744aa63f, 0x74208150,
+  0x73f614c0, 0x73cb60a8,
+  0x73a06522, 0x73752249, 0x73499838, 0x731dc70a, 0x72f1aed9, 0x72c54fc1,
+  0x7298a9dd, 0x726bbd48,
+  0x723e8a20, 0x7211107e, 0x71e35080, 0x71b54a41, 0x7186fdde, 0x71586b74,
+  0x7129931f, 0x70fa74fc,
+  0x70cb1128, 0x709b67c0, 0x706b78e3, 0x703b44ad, 0x700acb3c, 0x6fda0cae,
+  0x6fa90921, 0x6f77c0b3,
+  0x6f463383, 0x6f1461b0, 0x6ee24b57, 0x6eaff099, 0x6e7d5193, 0x6e4a6e66,
+  0x6e174730, 0x6de3dc11,
+  0x6db02d29, 0x6d7c3a98, 0x6d48047e, 0x6d138afb, 0x6cdece2f, 0x6ca9ce3b,
+  0x6c748b3f, 0x6c3f055d,
+  0x6c093cb6, 0x6bd3316a, 0x6b9ce39b, 0x6b66536b, 0x6b2f80fb, 0x6af86c6c,
+  0x6ac115e2, 0x6a897d7d,
+  0x6a51a361, 0x6a1987b0, 0x69e12a8c, 0x69a88c19, 0x696fac78, 0x69368bce,
+  0x68fd2a3d, 0x68c387e9,
+  0x6889a4f6, 0x684f8186, 0x68151dbe, 0x67da79c3, 0x679f95b7, 0x676471c0,
+  0x67290e02, 0x66ed6aa1,
+  0x66b187c3, 0x6675658c, 0x66390422, 0x65fc63a9, 0x65bf8447, 0x65826622,
+  0x6545095f, 0x65076e25,
+  0x64c99498, 0x648b7ce0, 0x644d2722, 0x640e9386, 0x63cfc231, 0x6390b34a,
+  0x635166f9, 0x6311dd64,
+  0x62d216b3, 0x6292130c, 0x6251d298, 0x6211557e, 0x61d09be5, 0x618fa5f7,
+  0x614e73da, 0x610d05b7,
+  0x60cb5bb7, 0x60897601, 0x604754bf, 0x6004f819, 0x5fc26038, 0x5f7f8d46,
+  0x5f3c7f6b, 0x5ef936d1,
+  0x5eb5b3a2, 0x5e71f606, 0x5e2dfe29, 0x5de9cc33, 0x5da5604f, 0x5d60baa7,
+  0x5d1bdb65, 0x5cd6c2b5,
+  0x5c9170bf, 0x5c4be5b0, 0x5c0621b2, 0x5bc024f0, 0x5b79ef96, 0x5b3381ce,
+  0x5aecdbc5, 0x5aa5fda5,
+  0x5a5ee79a, 0x5a1799d1, 0x59d01475, 0x598857b2, 0x594063b5, 0x58f838a9,
+  0x58afd6bd, 0x58673e1b,
+  0x581e6ef1, 0x57d5696d, 0x578c2dba, 0x5742bc06, 0x56f9147e, 0x56af3750,
+  0x566524aa, 0x561adcb9,
+  0x55d05faa, 0x5585adad, 0x553ac6ee, 0x54efab9c, 0x54a45be6, 0x5458d7f9,
+  0x540d2005, 0x53c13439,
+  0x537514c2, 0x5328c1d0, 0x52dc3b92, 0x528f8238, 0x524295f0, 0x51f576ea,
+  0x51a82555, 0x515aa162,
+  0x510ceb40, 0x50bf031f, 0x5070e92f, 0x50229da1, 0x4fd420a4, 0x4f857269,
+  0x4f369320, 0x4ee782fb,
+  0x4e984229, 0x4e48d0dd, 0x4df92f46, 0x4da95d96, 0x4d595bfe, 0x4d092ab0,
+  0x4cb8c9dd, 0x4c6839b7,
+  0x4c177a6e, 0x4bc68c36, 0x4b756f40, 0x4b2423be, 0x4ad2a9e2, 0x4a8101de,
+  0x4a2f2be6, 0x49dd282a,
+  0x498af6df, 0x49389836, 0x48e60c62, 0x48935397, 0x48406e08, 0x47ed5be6,
+  0x479a1d67, 0x4746b2bc,
+  0x46f31c1a, 0x469f59b4, 0x464b6bbe, 0x45f7526b, 0x45a30df0, 0x454e9e80,
+  0x44fa0450, 0x44a53f93,
+  0x4450507e, 0x43fb3746, 0x43a5f41e, 0x4350873c, 0x42faf0d4, 0x42a5311b,
+  0x424f4845, 0x41f93689,
+  0x41a2fc1a, 0x414c992f, 0x40f60dfb, 0x409f5ab6, 0x40487f94, 0x3ff17cca,
+  0x3f9a5290, 0x3f430119,
+  0x3eeb889c, 0x3e93e950, 0x3e3c2369, 0x3de4371f, 0x3d8c24a8, 0x3d33ec39,
+  0x3cdb8e09, 0x3c830a50,
+  0x3c2a6142, 0x3bd19318, 0x3b78a007, 0x3b1f8848, 0x3ac64c0f, 0x3a6ceb96,
+  0x3a136712, 0x39b9bebc,
+  0x395ff2c9, 0x39060373, 0x38abf0ef, 0x3851bb77, 0x37f76341, 0x379ce885,
+  0x37424b7b, 0x36e78c5b,
+  0x368cab5c, 0x3631a8b8, 0x35d684a6, 0x357b3f5d, 0x351fd918, 0x34c4520d,
+  0x3468aa76, 0x340ce28b,
+  0x33b0fa84, 0x3354f29b, 0x32f8cb07, 0x329c8402, 0x32401dc6, 0x31e39889,
+  0x3186f487, 0x312a31f8,
+  0x30cd5115, 0x30705217, 0x30133539, 0x2fb5fab2, 0x2f58a2be, 0x2efb2d95,
+  0x2e9d9b70, 0x2e3fec8b,
+  0x2de2211e, 0x2d843964, 0x2d263596, 0x2cc815ee, 0x2c69daa6, 0x2c0b83fa,
+  0x2bad1221, 0x2b4e8558,
+  0x2aefddd8, 0x2a911bdc, 0x2a323f9e, 0x29d34958, 0x29743946, 0x29150fa1,
+  0x28b5cca5, 0x2856708d,
+  0x27f6fb92, 0x27976df1, 0x2737c7e3, 0x26d809a5, 0x26783370, 0x26184581,
+  0x25b84012, 0x2558235f,
+  0x24f7efa2, 0x2497a517, 0x243743fa, 0x23d6cc87, 0x23763ef7, 0x23159b88,
+  0x22b4e274, 0x225413f8,
+  0x21f3304f, 0x219237b5, 0x21312a65, 0x20d0089c, 0x206ed295, 0x200d888d,
+  0x1fac2abf, 0x1f4ab968,
+  0x1ee934c3, 0x1e879d0d, 0x1e25f282, 0x1dc4355e, 0x1d6265dd, 0x1d00843d,
+  0x1c9e90b8, 0x1c3c8b8c,
+  0x1bda74f6, 0x1b784d30, 0x1b161479, 0x1ab3cb0d, 0x1a517128, 0x19ef0707,
+  0x198c8ce7, 0x192a0304,
+  0x18c7699b, 0x1864c0ea, 0x1802092c, 0x179f429f, 0x173c6d80, 0x16d98a0c,
+  0x1676987f, 0x16139918,
+  0x15b08c12, 0x154d71aa, 0x14ea4a1f, 0x148715ae, 0x1423d492, 0x13c0870a,
+  0x135d2d53, 0x12f9c7aa,
+  0x1296564d, 0x1232d979, 0x11cf516a, 0x116bbe60, 0x11082096, 0x10a4784b,
+  0x1040c5bb, 0xfdd0926,
+  0xf7942c7, 0xf1572dc, 0xeb199a4, 0xe4db75b, 0xde9cc40, 0xd85d88f, 0xd21dc87,
+  0xcbdd865,
+  0xc59cc68, 0xbf5b8cb, 0xb919dcf, 0xb2d7baf, 0xac952aa, 0xa6522fe, 0xa00ece8,
+  0x99cb0a7,
+  0x9386e78, 0x8d42699, 0x86fd947, 0x80b86c2, 0x7a72f45, 0x742d311, 0x6de7262,
+  0x67a0d76,
+  0x615a48b, 0x5b137df, 0x54cc7b1, 0x4e8543e, 0x483ddc3, 0x41f6480, 0x3bae8b2,
+  0x3566a96,
+  0x2f1ea6c, 0x28d6870, 0x228e4e2, 0x1c45ffe, 0x15fda03, 0xfb5330, 0x96cbc1,
+  0x3243f5,
+};
+
+static const q31_t cos_factorsQ31_2048[2048] = {
+  0x7fffff62, 0x7ffffa73, 0x7ffff094, 0x7fffe1c6, 0x7fffce09, 0x7fffb55c,
+  0x7fff97c1, 0x7fff7536,
+  0x7fff4dbb, 0x7fff2151, 0x7ffeeff8, 0x7ffeb9b0, 0x7ffe7e79, 0x7ffe3e52,
+  0x7ffdf93c, 0x7ffdaf37,
+  0x7ffd6042, 0x7ffd0c5f, 0x7ffcb38c, 0x7ffc55ca, 0x7ffbf319, 0x7ffb8b78,
+  0x7ffb1ee9, 0x7ffaad6a,
+  0x7ffa36fc, 0x7ff9bba0, 0x7ff93b54, 0x7ff8b619, 0x7ff82bef, 0x7ff79cd6,
+  0x7ff708ce, 0x7ff66fd7,
+  0x7ff5d1f1, 0x7ff52f1d, 0x7ff48759, 0x7ff3daa6, 0x7ff32905, 0x7ff27275,
+  0x7ff1b6f6, 0x7ff0f688,
+  0x7ff0312c, 0x7fef66e1, 0x7fee97a7, 0x7fedc37e, 0x7fecea67, 0x7fec0c62,
+  0x7feb296d, 0x7fea418b,
+  0x7fe954ba, 0x7fe862fa, 0x7fe76c4c, 0x7fe670b0, 0x7fe57025, 0x7fe46aac,
+  0x7fe36045, 0x7fe250ef,
+  0x7fe13cac, 0x7fe0237a, 0x7fdf055a, 0x7fdde24d, 0x7fdcba51, 0x7fdb8d67,
+  0x7fda5b8f, 0x7fd924ca,
+  0x7fd7e917, 0x7fd6a875, 0x7fd562e7, 0x7fd4186a, 0x7fd2c900, 0x7fd174a8,
+  0x7fd01b63, 0x7fcebd31,
+  0x7fcd5a11, 0x7fcbf203, 0x7fca8508, 0x7fc91320, 0x7fc79c4b, 0x7fc62089,
+  0x7fc49fda, 0x7fc31a3d,
+  0x7fc18fb4, 0x7fc0003e, 0x7fbe6bdb, 0x7fbcd28b, 0x7fbb344e, 0x7fb99125,
+  0x7fb7e90f, 0x7fb63c0d,
+  0x7fb48a1e, 0x7fb2d343, 0x7fb1177b, 0x7faf56c7, 0x7fad9127, 0x7fabc69b,
+  0x7fa9f723, 0x7fa822bf,
+  0x7fa6496e, 0x7fa46b32, 0x7fa2880b, 0x7fa09ff7, 0x7f9eb2f8, 0x7f9cc10d,
+  0x7f9aca37, 0x7f98ce76,
+  0x7f96cdc9, 0x7f94c831, 0x7f92bdad, 0x7f90ae3f, 0x7f8e99e6, 0x7f8c80a1,
+  0x7f8a6272, 0x7f883f58,
+  0x7f861753, 0x7f83ea64, 0x7f81b88a, 0x7f7f81c6, 0x7f7d4617, 0x7f7b057e,
+  0x7f78bffb, 0x7f76758e,
+  0x7f742637, 0x7f71d1f6, 0x7f6f78cb, 0x7f6d1ab6, 0x7f6ab7b8, 0x7f684fd0,
+  0x7f65e2ff, 0x7f637144,
+  0x7f60faa0, 0x7f5e7f13, 0x7f5bfe9d, 0x7f59793e, 0x7f56eef5, 0x7f545fc5,
+  0x7f51cbab, 0x7f4f32a9,
+  0x7f4c94be, 0x7f49f1eb, 0x7f474a30, 0x7f449d8c, 0x7f41ec01, 0x7f3f358d,
+  0x7f3c7a31, 0x7f39b9ee,
+  0x7f36f4c3, 0x7f342ab1, 0x7f315bb7, 0x7f2e87d6, 0x7f2baf0d, 0x7f28d15d,
+  0x7f25eec7, 0x7f230749,
+  0x7f201ae5, 0x7f1d299a, 0x7f1a3368, 0x7f173850, 0x7f143852, 0x7f11336d,
+  0x7f0e29a3, 0x7f0b1af2,
+  0x7f08075c, 0x7f04eedf, 0x7f01d17d, 0x7efeaf36, 0x7efb8809, 0x7ef85bf7,
+  0x7ef52b00, 0x7ef1f524,
+  0x7eeeba62, 0x7eeb7abc, 0x7ee83632, 0x7ee4ecc3, 0x7ee19e6f, 0x7ede4b38,
+  0x7edaf31c, 0x7ed7961c,
+  0x7ed43438, 0x7ed0cd70, 0x7ecd61c5, 0x7ec9f137, 0x7ec67bc5, 0x7ec3016f,
+  0x7ebf8237, 0x7ebbfe1c,
+  0x7eb8751e, 0x7eb4e73d, 0x7eb1547a, 0x7eadbcd4, 0x7eaa204c, 0x7ea67ee2,
+  0x7ea2d896, 0x7e9f2d68,
+  0x7e9b7d58, 0x7e97c867, 0x7e940e94, 0x7e904fe0, 0x7e8c8c4b, 0x7e88c3d5,
+  0x7e84f67e, 0x7e812447,
+  0x7e7d4d2f, 0x7e797136, 0x7e75905d, 0x7e71aaa4, 0x7e6dc00c, 0x7e69d093,
+  0x7e65dc3b, 0x7e61e303,
+  0x7e5de4ec, 0x7e59e1f5, 0x7e55da20, 0x7e51cd6c, 0x7e4dbbd9, 0x7e49a567,
+  0x7e458a17, 0x7e4169e9,
+  0x7e3d44dd, 0x7e391af3, 0x7e34ec2b, 0x7e30b885, 0x7e2c8002, 0x7e2842a2,
+  0x7e240064, 0x7e1fb94a,
+  0x7e1b6d53, 0x7e171c7f, 0x7e12c6ce, 0x7e0e6c42, 0x7e0a0cd9, 0x7e05a894,
+  0x7e013f74, 0x7dfcd178,
+  0x7df85ea0, 0x7df3e6ee, 0x7def6a60, 0x7deae8f7, 0x7de662b3, 0x7de1d795,
+  0x7ddd479d, 0x7dd8b2ca,
+  0x7dd4191d, 0x7dcf7a96, 0x7dcad736, 0x7dc62efc, 0x7dc181e8, 0x7dbccffc,
+  0x7db81936, 0x7db35d98,
+  0x7dae9d21, 0x7da9d7d2, 0x7da50dab, 0x7da03eab, 0x7d9b6ad3, 0x7d969224,
+  0x7d91b49e, 0x7d8cd240,
+  0x7d87eb0a, 0x7d82fefe, 0x7d7e0e1c, 0x7d791862, 0x7d741dd2, 0x7d6f1e6c,
+  0x7d6a1a31, 0x7d65111f,
+  0x7d600338, 0x7d5af07b, 0x7d55d8e9, 0x7d50bc82, 0x7d4b9b46, 0x7d467536,
+  0x7d414a51, 0x7d3c1a98,
+  0x7d36e60b, 0x7d31acaa, 0x7d2c6e76, 0x7d272b6e, 0x7d21e393, 0x7d1c96e5,
+  0x7d174564, 0x7d11ef11,
+  0x7d0c93eb, 0x7d0733f3, 0x7d01cf29, 0x7cfc658d, 0x7cf6f720, 0x7cf183e1,
+  0x7cec0bd1, 0x7ce68ef0,
+  0x7ce10d3f, 0x7cdb86bd, 0x7cd5fb6a, 0x7cd06b48, 0x7ccad656, 0x7cc53c94,
+  0x7cbf9e03, 0x7cb9faa2,
+  0x7cb45272, 0x7caea574, 0x7ca8f3a7, 0x7ca33d0c, 0x7c9d81a3, 0x7c97c16b,
+  0x7c91fc66, 0x7c8c3294,
+  0x7c8663f4, 0x7c809088, 0x7c7ab84e, 0x7c74db48, 0x7c6ef976, 0x7c6912d7,
+  0x7c63276d, 0x7c5d3737,
+  0x7c574236, 0x7c514869, 0x7c4b49d2, 0x7c45466f, 0x7c3f3e42, 0x7c39314b,
+  0x7c331f8a, 0x7c2d08ff,
+  0x7c26edab, 0x7c20cd8d, 0x7c1aa8a6, 0x7c147ef6, 0x7c0e507e, 0x7c081d3d,
+  0x7c01e534, 0x7bfba863,
+  0x7bf566cb, 0x7bef206b, 0x7be8d544, 0x7be28556, 0x7bdc30a1, 0x7bd5d726,
+  0x7bcf78e5, 0x7bc915dd,
+  0x7bc2ae10, 0x7bbc417e, 0x7bb5d026, 0x7baf5a09, 0x7ba8df28, 0x7ba25f82,
+  0x7b9bdb18, 0x7b9551ea,
+  0x7b8ec3f8, 0x7b883143, 0x7b8199ca, 0x7b7afd8f, 0x7b745c91, 0x7b6db6d0,
+  0x7b670c4d, 0x7b605d09,
+  0x7b59a902, 0x7b52f03a, 0x7b4c32b1, 0x7b457068, 0x7b3ea95d, 0x7b37dd92,
+  0x7b310d07, 0x7b2a37bc,
+  0x7b235db2, 0x7b1c7ee8, 0x7b159b5f, 0x7b0eb318, 0x7b07c612, 0x7b00d44d,
+  0x7af9ddcb, 0x7af2e28b,
+  0x7aebe28d, 0x7ae4ddd2, 0x7addd45b, 0x7ad6c626, 0x7acfb336, 0x7ac89b89,
+  0x7ac17f20, 0x7aba5dfc,
+  0x7ab3381d, 0x7aac0d82, 0x7aa4de2d, 0x7a9daa1d, 0x7a967153, 0x7a8f33d0,
+  0x7a87f192, 0x7a80aa9c,
+  0x7a795eec, 0x7a720e84, 0x7a6ab963, 0x7a635f8a, 0x7a5c00f9, 0x7a549db0,
+  0x7a4d35b0, 0x7a45c8f9,
+  0x7a3e578b, 0x7a36e166, 0x7a2f668c, 0x7a27e6fb, 0x7a2062b5, 0x7a18d9b9,
+  0x7a114c09, 0x7a09b9a4,
+  0x7a02228a, 0x79fa86bc, 0x79f2e63a, 0x79eb4105, 0x79e3971c, 0x79dbe880,
+  0x79d43532, 0x79cc7d31,
+  0x79c4c07e, 0x79bcff19, 0x79b53903, 0x79ad6e3c, 0x79a59ec3, 0x799dca9a,
+  0x7995f1c1, 0x798e1438,
+  0x798631ff, 0x797e4b16, 0x79765f7f, 0x796e6f39, 0x79667a44, 0x795e80a1,
+  0x79568250, 0x794e7f52,
+  0x794677a6, 0x793e6b4e, 0x79365a49, 0x792e4497, 0x79262a3a, 0x791e0b31,
+  0x7915e77c, 0x790dbf1d,
+  0x79059212, 0x78fd605d, 0x78f529fe, 0x78eceef6, 0x78e4af44, 0x78dc6ae8,
+  0x78d421e4, 0x78cbd437,
+  0x78c381e2, 0x78bb2ae5, 0x78b2cf41, 0x78aa6ef5, 0x78a20a03, 0x7899a06a,
+  0x7891322a, 0x7888bf45,
+  0x788047ba, 0x7877cb89, 0x786f4ab4, 0x7866c53a, 0x785e3b1c, 0x7855ac5a,
+  0x784d18f4, 0x784480ea,
+  0x783be43e, 0x783342ef, 0x782a9cfe, 0x7821f26b, 0x78194336, 0x78108f60,
+  0x7807d6e9, 0x77ff19d1,
+  0x77f65819, 0x77ed91c0, 0x77e4c6c9, 0x77dbf732, 0x77d322fc, 0x77ca4a27,
+  0x77c16cb4, 0x77b88aa3,
+  0x77afa3f5, 0x77a6b8a9, 0x779dc8c0, 0x7794d43b, 0x778bdb19, 0x7782dd5c,
+  0x7779db03, 0x7770d40f,
+  0x7767c880, 0x775eb857, 0x7755a394, 0x774c8a36, 0x77436c40, 0x773a49b0,
+  0x77312287, 0x7727f6c6,
+  0x771ec66e, 0x7715917d, 0x770c57f5, 0x770319d6, 0x76f9d721, 0x76f08fd5,
+  0x76e743f4, 0x76ddf37c,
+  0x76d49e70, 0x76cb44cf, 0x76c1e699, 0x76b883d0, 0x76af1c72, 0x76a5b082,
+  0x769c3ffe, 0x7692cae8,
+  0x7689513f, 0x767fd304, 0x76765038, 0x766cc8db, 0x76633ced, 0x7659ac6f,
+  0x76501760, 0x76467dc2,
+  0x763cdf94, 0x76333cd8, 0x7629958c, 0x761fe9b3, 0x7616394c, 0x760c8457,
+  0x7602cad5, 0x75f90cc7,
+  0x75ef4a2c, 0x75e58305, 0x75dbb753, 0x75d1e715, 0x75c8124d, 0x75be38fa,
+  0x75b45b1d, 0x75aa78b6,
+  0x75a091c6, 0x7596a64d, 0x758cb64c, 0x7582c1c2, 0x7578c8b0, 0x756ecb18,
+  0x7564c8f8, 0x755ac251,
+  0x7550b725, 0x7546a772, 0x753c933a, 0x75327a7d, 0x75285d3b, 0x751e3b75,
+  0x7514152b, 0x7509ea5d,
+  0x74ffbb0d, 0x74f58739, 0x74eb4ee3, 0x74e1120c, 0x74d6d0b2, 0x74cc8ad8,
+  0x74c2407d, 0x74b7f1a1,
+  0x74ad9e46, 0x74a3466b, 0x7498ea11, 0x748e8938, 0x748423e0, 0x7479ba0b,
+  0x746f4bb8, 0x7464d8e8,
+  0x745a619b, 0x744fe5d2, 0x7445658d, 0x743ae0cc, 0x74305790, 0x7425c9da,
+  0x741b37a9, 0x7410a0fe,
+  0x740605d9, 0x73fb663c, 0x73f0c226, 0x73e61997, 0x73db6c91, 0x73d0bb13,
+  0x73c6051f, 0x73bb4ab3,
+  0x73b08bd1, 0x73a5c87a, 0x739b00ad, 0x7390346b, 0x738563b5, 0x737a8e8a,
+  0x736fb4ec, 0x7364d6da,
+  0x7359f456, 0x734f0d5f, 0x734421f6, 0x7339321b, 0x732e3dcf, 0x73234512,
+  0x731847e5, 0x730d4648,
+  0x7302403c, 0x72f735c0, 0x72ec26d6, 0x72e1137d, 0x72d5fbb7, 0x72cadf83,
+  0x72bfbee3, 0x72b499d6,
+  0x72a9705c, 0x729e4277, 0x72931027, 0x7287d96c, 0x727c9e47, 0x72715eb8,
+  0x72661abf, 0x725ad25d,
+  0x724f8593, 0x72443460, 0x7238dec5, 0x722d84c4, 0x7222265b, 0x7216c38c,
+  0x720b5c57, 0x71fff0bc,
+  0x71f480bc, 0x71e90c57, 0x71dd938f, 0x71d21662, 0x71c694d2, 0x71bb0edf,
+  0x71af848a, 0x71a3f5d2,
+  0x719862b9, 0x718ccb3f, 0x71812f65, 0x71758f29, 0x7169ea8f, 0x715e4194,
+  0x7152943b, 0x7146e284,
+  0x713b2c6e, 0x712f71fb, 0x7123b32b, 0x7117effe, 0x710c2875, 0x71005c90,
+  0x70f48c50, 0x70e8b7b5,
+  0x70dcdec0, 0x70d10171, 0x70c51fc8, 0x70b939c7, 0x70ad4f6d, 0x70a160ba,
+  0x70956db1, 0x70897650,
+  0x707d7a98, 0x70717a8a, 0x70657626, 0x70596d6d, 0x704d6060, 0x70414efd,
+  0x70353947, 0x70291f3e,
+  0x701d00e1, 0x7010de32, 0x7004b731, 0x6ff88bde, 0x6fec5c3b, 0x6fe02846,
+  0x6fd3f001, 0x6fc7b36d,
+  0x6fbb728a, 0x6faf2d57, 0x6fa2e3d7, 0x6f969608, 0x6f8a43ed, 0x6f7ded84,
+  0x6f7192cf, 0x6f6533ce,
+  0x6f58d082, 0x6f4c68eb, 0x6f3ffd09, 0x6f338cde, 0x6f271868, 0x6f1a9faa,
+  0x6f0e22a3, 0x6f01a155,
+  0x6ef51bbe, 0x6ee891e1, 0x6edc03bc, 0x6ecf7152, 0x6ec2daa2, 0x6eb63fad,
+  0x6ea9a073, 0x6e9cfcf5,
+  0x6e905534, 0x6e83a92f, 0x6e76f8e7, 0x6e6a445d, 0x6e5d8b91, 0x6e50ce84,
+  0x6e440d37, 0x6e3747a9,
+  0x6e2a7ddb, 0x6e1dafce, 0x6e10dd82, 0x6e0406f8, 0x6df72c30, 0x6dea4d2b,
+  0x6ddd69e9, 0x6dd0826a,
+  0x6dc396b0, 0x6db6a6ba, 0x6da9b28a, 0x6d9cba1f, 0x6d8fbd7a, 0x6d82bc9d,
+  0x6d75b786, 0x6d68ae37,
+  0x6d5ba0b0, 0x6d4e8ef2, 0x6d4178fd, 0x6d345ed1, 0x6d274070, 0x6d1a1dda,
+  0x6d0cf70f, 0x6cffcc0f,
+  0x6cf29cdc, 0x6ce56975, 0x6cd831dc, 0x6ccaf610, 0x6cbdb613, 0x6cb071e4,
+  0x6ca32985, 0x6c95dcf6,
+  0x6c888c36, 0x6c7b3748, 0x6c6dde2b, 0x6c6080e0, 0x6c531f67, 0x6c45b9c1,
+  0x6c384fef, 0x6c2ae1f0,
+  0x6c1d6fc6, 0x6c0ff971, 0x6c027ef1, 0x6bf50047, 0x6be77d74, 0x6bd9f677,
+  0x6bcc6b53, 0x6bbedc06,
+  0x6bb14892, 0x6ba3b0f7, 0x6b961536, 0x6b88754f, 0x6b7ad142, 0x6b6d2911,
+  0x6b5f7cbc, 0x6b51cc42,
+  0x6b4417a6, 0x6b365ee7, 0x6b28a206, 0x6b1ae103, 0x6b0d1bdf, 0x6aff529a,
+  0x6af18536, 0x6ae3b3b2,
+  0x6ad5de0f, 0x6ac8044e, 0x6aba266e, 0x6aac4472, 0x6a9e5e58, 0x6a907423,
+  0x6a8285d1, 0x6a749365,
+  0x6a669cdd, 0x6a58a23c, 0x6a4aa381, 0x6a3ca0ad, 0x6a2e99c0, 0x6a208ebb,
+  0x6a127f9f, 0x6a046c6c,
+  0x69f65523, 0x69e839c4, 0x69da1a50, 0x69cbf6c7, 0x69bdcf29, 0x69afa378,
+  0x69a173b5, 0x69933fde,
+  0x698507f6, 0x6976cbfc, 0x69688bf1, 0x695a47d6, 0x694bffab, 0x693db371,
+  0x692f6328, 0x69210ed1,
+  0x6912b66c, 0x690459fb, 0x68f5f97d, 0x68e794f3, 0x68d92c5d, 0x68cabfbd,
+  0x68bc4f13, 0x68adda5f,
+  0x689f61a1, 0x6890e4dc, 0x6882640e, 0x6873df38, 0x6865565c, 0x6856c979,
+  0x68483891, 0x6839a3a4,
+  0x682b0ab1, 0x681c6dbb, 0x680dccc1, 0x67ff27c4, 0x67f07ec5, 0x67e1d1c4,
+  0x67d320c1, 0x67c46bbe,
+  0x67b5b2bb, 0x67a6f5b8, 0x679834b6, 0x67896fb6, 0x677aa6b8, 0x676bd9bd,
+  0x675d08c4, 0x674e33d0,
+  0x673f5ae0, 0x67307df5, 0x67219d10, 0x6712b831, 0x6703cf58, 0x66f4e287,
+  0x66e5f1be, 0x66d6fcfd,
+  0x66c80445, 0x66b90797, 0x66aa06f3, 0x669b0259, 0x668bf9cb, 0x667ced49,
+  0x666ddcd3, 0x665ec86b,
+  0x664fb010, 0x664093c3, 0x66317385, 0x66224f56, 0x66132738, 0x6603fb2a,
+  0x65f4cb2d, 0x65e59742,
+  0x65d65f69, 0x65c723a3, 0x65b7e3f1, 0x65a8a052, 0x659958c9, 0x658a0d54,
+  0x657abdf6, 0x656b6aae,
+  0x655c137d, 0x654cb863, 0x653d5962, 0x652df679, 0x651e8faa, 0x650f24f5,
+  0x64ffb65b, 0x64f043dc,
+  0x64e0cd78, 0x64d15331, 0x64c1d507, 0x64b252fa, 0x64a2cd0c, 0x6493433c,
+  0x6483b58c, 0x647423fb,
+  0x64648e8c, 0x6454f53d, 0x64455810, 0x6435b706, 0x6426121e, 0x6416695a,
+  0x6406bcba, 0x63f70c3f,
+  0x63e757ea, 0x63d79fba, 0x63c7e3b1, 0x63b823cf, 0x63a86015, 0x63989884,
+  0x6388cd1b, 0x6378fddc,
+  0x63692ac7, 0x635953dd, 0x6349791f, 0x63399a8d, 0x6329b827, 0x6319d1ef,
+  0x6309e7e4, 0x62f9fa09,
+  0x62ea085c, 0x62da12df, 0x62ca1992, 0x62ba1c77, 0x62aa1b8d, 0x629a16d5,
+  0x628a0e50, 0x627a01fe,
+  0x6269f1e1, 0x6259ddf8, 0x6249c645, 0x6239aac7, 0x62298b81, 0x62196871,
+  0x62094199, 0x61f916f9,
+  0x61e8e893, 0x61d8b666, 0x61c88074, 0x61b846bc, 0x61a80940, 0x6197c800,
+  0x618782fd, 0x61773a37,
+  0x6166edb0, 0x61569d67, 0x6146495d, 0x6135f193, 0x6125960a, 0x611536c2,
+  0x6104d3bc, 0x60f46cf9,
+  0x60e40278, 0x60d3943b, 0x60c32243, 0x60b2ac8f, 0x60a23322, 0x6091b5fa,
+  0x60813519, 0x6070b080,
+  0x6060282f, 0x604f9c27, 0x603f0c69, 0x602e78f4, 0x601de1ca, 0x600d46ec,
+  0x5ffca859, 0x5fec0613,
+  0x5fdb601b, 0x5fcab670, 0x5fba0914, 0x5fa95807, 0x5f98a34a, 0x5f87eade,
+  0x5f772ec2, 0x5f666ef9,
+  0x5f55ab82, 0x5f44e45e, 0x5f34198e, 0x5f234b12, 0x5f1278eb, 0x5f01a31a,
+  0x5ef0c99f, 0x5edfec7b,
+  0x5ecf0baf, 0x5ebe273b, 0x5ead3f1f, 0x5e9c535e, 0x5e8b63f7, 0x5e7a70ea,
+  0x5e697a39, 0x5e587fe5,
+  0x5e4781ed, 0x5e368053, 0x5e257b17, 0x5e147239, 0x5e0365bb, 0x5df2559e,
+  0x5de141e1, 0x5dd02a85,
+  0x5dbf0f8c, 0x5dadf0f5, 0x5d9ccec2, 0x5d8ba8f3, 0x5d7a7f88, 0x5d695283,
+  0x5d5821e4, 0x5d46edac,
+  0x5d35b5db, 0x5d247a72, 0x5d133b72, 0x5d01f8dc, 0x5cf0b2af, 0x5cdf68ed,
+  0x5cce1b97, 0x5cbccaac,
+  0x5cab762f, 0x5c9a1e1e, 0x5c88c27c, 0x5c776348, 0x5c660084, 0x5c549a30,
+  0x5c43304d, 0x5c31c2db,
+  0x5c2051db, 0x5c0edd4e, 0x5bfd6534, 0x5bebe98e, 0x5bda6a5d, 0x5bc8e7a2,
+  0x5bb7615d, 0x5ba5d78e,
+  0x5b944a37, 0x5b82b958, 0x5b7124f2, 0x5b5f8d06, 0x5b4df193, 0x5b3c529c,
+  0x5b2ab020, 0x5b190a20,
+  0x5b07609d, 0x5af5b398, 0x5ae40311, 0x5ad24f09, 0x5ac09781, 0x5aaedc78,
+  0x5a9d1df1, 0x5a8b5bec,
+  0x5a799669, 0x5a67cd69, 0x5a5600ec, 0x5a4430f5, 0x5a325d82, 0x5a208695,
+  0x5a0eac2e, 0x59fcce4f,
+  0x59eaecf8, 0x59d90829, 0x59c71fe3, 0x59b53427, 0x59a344f6, 0x59915250,
+  0x597f5c36, 0x596d62a9,
+  0x595b65aa, 0x59496538, 0x59376155, 0x59255a02, 0x59134f3e, 0x5901410c,
+  0x58ef2f6b, 0x58dd1a5d,
+  0x58cb01e1, 0x58b8e5f9, 0x58a6c6a5, 0x5894a3e7, 0x58827dbe, 0x5870542c,
+  0x585e2730, 0x584bf6cd,
+  0x5839c302, 0x58278bd1, 0x58155139, 0x5803133c, 0x57f0d1da, 0x57de8d15,
+  0x57cc44ec, 0x57b9f960,
+  0x57a7aa73, 0x57955825, 0x57830276, 0x5770a968, 0x575e4cfa, 0x574bed2f,
+  0x57398a05, 0x5727237f,
+  0x5714b99d, 0x57024c5f, 0x56efdbc7, 0x56dd67d4, 0x56caf088, 0x56b875e4,
+  0x56a5f7e7, 0x56937694,
+  0x5680f1ea, 0x566e69ea, 0x565bde95, 0x56494fec, 0x5636bdef, 0x5624289f,
+  0x56118ffe, 0x55fef40a,
+  0x55ec54c6, 0x55d9b232, 0x55c70c4f, 0x55b4631d, 0x55a1b69d, 0x558f06d0,
+  0x557c53b6, 0x55699d51,
+  0x5556e3a1, 0x554426a7, 0x55316663, 0x551ea2d6, 0x550bdc01, 0x54f911e5,
+  0x54e64482, 0x54d373d9,
+  0x54c09feb, 0x54adc8b8, 0x549aee42, 0x54881089, 0x54752f8d, 0x54624b50,
+  0x544f63d2, 0x543c7914,
+  0x54298b17, 0x541699db, 0x5403a561, 0x53f0adaa, 0x53ddb2b6, 0x53cab486,
+  0x53b7b31c, 0x53a4ae77,
+  0x5391a699, 0x537e9b82, 0x536b8d33, 0x53587bad, 0x534566f0, 0x53324efd,
+  0x531f33d5, 0x530c1579,
+  0x52f8f3e9, 0x52e5cf27, 0x52d2a732, 0x52bf7c0b, 0x52ac4db4, 0x52991c2d,
+  0x5285e777, 0x5272af92,
+  0x525f7480, 0x524c3640, 0x5238f4d4, 0x5225b03d, 0x5212687b, 0x51ff1d8f,
+  0x51ebcf7a, 0x51d87e3c,
+  0x51c529d7, 0x51b1d24a, 0x519e7797, 0x518b19bf, 0x5177b8c2, 0x516454a0,
+  0x5150ed5c, 0x513d82f4,
+  0x512a156b, 0x5116a4c1, 0x510330f7, 0x50efba0d, 0x50dc4005, 0x50c8c2de,
+  0x50b5429a, 0x50a1bf39,
+  0x508e38bd, 0x507aaf25, 0x50672273, 0x505392a8, 0x503fffc4, 0x502c69c8,
+  0x5018d0b4, 0x5005348a,
+  0x4ff1954b, 0x4fddf2f6, 0x4fca4d8d, 0x4fb6a510, 0x4fa2f981, 0x4f8f4ae0,
+  0x4f7b992d, 0x4f67e46a,
+  0x4f542c98, 0x4f4071b6, 0x4f2cb3c7, 0x4f18f2c9, 0x4f052ec0, 0x4ef167aa,
+  0x4edd9d89, 0x4ec9d05e,
+  0x4eb60029, 0x4ea22ceb, 0x4e8e56a5, 0x4e7a7d58, 0x4e66a105, 0x4e52c1ab,
+  0x4e3edf4d, 0x4e2af9ea,
+  0x4e171184, 0x4e03261b, 0x4def37b0, 0x4ddb4644, 0x4dc751d8, 0x4db35a6c,
+  0x4d9f6001, 0x4d8b6298,
+  0x4d776231, 0x4d635ece, 0x4d4f5870, 0x4d3b4f16, 0x4d2742c2, 0x4d133374,
+  0x4cff212e, 0x4ceb0bf0,
+  0x4cd6f3bb, 0x4cc2d88f, 0x4caeba6e, 0x4c9a9958, 0x4c86754e, 0x4c724e50,
+  0x4c5e2460, 0x4c49f77f,
+  0x4c35c7ac, 0x4c2194e9, 0x4c0d5f37, 0x4bf92697, 0x4be4eb08, 0x4bd0ac8d,
+  0x4bbc6b25, 0x4ba826d1,
+  0x4b93df93, 0x4b7f956b, 0x4b6b485a, 0x4b56f861, 0x4b42a580, 0x4b2e4fb8,
+  0x4b19f70a, 0x4b059b77,
+  0x4af13d00, 0x4adcdba5, 0x4ac87767, 0x4ab41046, 0x4a9fa645, 0x4a8b3963,
+  0x4a76c9a2, 0x4a625701,
+  0x4a4de182, 0x4a396926, 0x4a24edee, 0x4a106fda, 0x49fbeeea, 0x49e76b21,
+  0x49d2e47e, 0x49be5b02,
+  0x49a9ceaf, 0x49953f84, 0x4980ad84, 0x496c18ae, 0x49578103, 0x4942e684,
+  0x492e4933, 0x4919a90f,
+  0x4905061a, 0x48f06054, 0x48dbb7be, 0x48c70c59, 0x48b25e25, 0x489dad25,
+  0x4888f957, 0x487442be,
+  0x485f8959, 0x484acd2a, 0x48360e32, 0x48214c71, 0x480c87e8, 0x47f7c099,
+  0x47e2f682, 0x47ce29a7,
+  0x47b95a06, 0x47a487a2, 0x478fb27b, 0x477ada91, 0x4765ffe6, 0x4751227a,
+  0x473c424e, 0x47275f63,
+  0x471279ba, 0x46fd9154, 0x46e8a631, 0x46d3b852, 0x46bec7b8, 0x46a9d464,
+  0x4694de56, 0x467fe590,
+  0x466aea12, 0x4655ebdd, 0x4640eaf2, 0x462be751, 0x4616e0fc, 0x4601d7f3,
+  0x45eccc37, 0x45d7bdc9,
+  0x45c2acaa, 0x45ad98da, 0x4598825a, 0x4583692c, 0x456e4d4f, 0x45592ec6,
+  0x45440d90, 0x452ee9ae,
+  0x4519c321, 0x450499eb, 0x44ef6e0b, 0x44da3f83, 0x44c50e53, 0x44afda7d,
+  0x449aa400, 0x44856adf,
+  0x44702f19, 0x445af0b0, 0x4445afa4, 0x44306bf6, 0x441b25a8, 0x4405dcb9,
+  0x43f0912b, 0x43db42fe,
+  0x43c5f234, 0x43b09ecc, 0x439b48c9, 0x4385f02a, 0x437094f1, 0x435b371f,
+  0x4345d6b3, 0x433073b0,
+  0x431b0e15, 0x4305a5e5, 0x42f03b1e, 0x42dacdc3, 0x42c55dd4, 0x42afeb53,
+  0x429a763f, 0x4284fe99,
+  0x426f8463, 0x425a079e, 0x42448849, 0x422f0667, 0x421981f7, 0x4203fafb,
+  0x41ee7174, 0x41d8e561,
+  0x41c356c5, 0x41adc5a0, 0x419831f3, 0x41829bbe, 0x416d0302, 0x415767c1,
+  0x4141c9fb, 0x412c29b1,
+  0x411686e4, 0x4100e194, 0x40eb39c3, 0x40d58f71, 0x40bfe29f, 0x40aa334e,
+  0x4094817f, 0x407ecd32,
+  0x40691669, 0x40535d24, 0x403da165, 0x4027e32b, 0x40122278, 0x3ffc5f4d,
+  0x3fe699aa, 0x3fd0d191,
+  0x3fbb0702, 0x3fa539fd, 0x3f8f6a85, 0x3f799899, 0x3f63c43b, 0x3f4ded6b,
+  0x3f38142a, 0x3f22387a,
+  0x3f0c5a5a, 0x3ef679cc, 0x3ee096d1, 0x3ecab169, 0x3eb4c995, 0x3e9edf57,
+  0x3e88f2ae, 0x3e73039d,
+  0x3e5d1222, 0x3e471e41, 0x3e3127f9, 0x3e1b2f4a, 0x3e053437, 0x3def36c0,
+  0x3dd936e6, 0x3dc334a9,
+  0x3dad300b, 0x3d97290b, 0x3d811fac, 0x3d6b13ee, 0x3d5505d2, 0x3d3ef559,
+  0x3d28e282, 0x3d12cd51,
+  0x3cfcb5c4, 0x3ce69bde, 0x3cd07f9f, 0x3cba6107, 0x3ca44018, 0x3c8e1cd3,
+  0x3c77f737, 0x3c61cf48,
+  0x3c4ba504, 0x3c35786d, 0x3c1f4983, 0x3c091849, 0x3bf2e4be, 0x3bdcaee3,
+  0x3bc676b9, 0x3bb03c42,
+  0x3b99ff7d, 0x3b83c06c, 0x3b6d7f10, 0x3b573b69, 0x3b40f579, 0x3b2aad3f,
+  0x3b1462be, 0x3afe15f6,
+  0x3ae7c6e7, 0x3ad17593, 0x3abb21fb, 0x3aa4cc1e, 0x3a8e7400, 0x3a78199f,
+  0x3a61bcfd, 0x3a4b5e1b,
+  0x3a34fcf9, 0x3a1e9999, 0x3a0833fc, 0x39f1cc21, 0x39db620b, 0x39c4f5ba,
+  0x39ae872f, 0x3998166a,
+  0x3981a36d, 0x396b2e38, 0x3954b6cd, 0x393e3d2c, 0x3927c155, 0x3911434b,
+  0x38fac30e, 0x38e4409e,
+  0x38cdbbfc, 0x38b7352a, 0x38a0ac29, 0x388a20f8, 0x38739399, 0x385d040d,
+  0x38467255, 0x382fde72,
+  0x38194864, 0x3802b02c, 0x37ec15cb, 0x37d57943, 0x37beda93, 0x37a839be,
+  0x379196c3, 0x377af1a3,
+  0x37644a60, 0x374da0fa, 0x3736f573, 0x372047ca, 0x37099802, 0x36f2e61a,
+  0x36dc3214, 0x36c57bf0,
+  0x36aec3b0, 0x36980954, 0x36814cde, 0x366a8e4d, 0x3653cda3, 0x363d0ae2,
+  0x36264609, 0x360f7f19,
+  0x35f8b614, 0x35e1eafa, 0x35cb1dcc, 0x35b44e8c, 0x359d7d39, 0x3586a9d5,
+  0x356fd461, 0x3558fcde,
+  0x3542234c, 0x352b47ad, 0x35146a00, 0x34fd8a48, 0x34e6a885, 0x34cfc4b7,
+  0x34b8dee1, 0x34a1f702,
+  0x348b0d1c, 0x3474212f, 0x345d333c, 0x34464345, 0x342f5149, 0x34185d4b,
+  0x3401674a, 0x33ea6f48,
+  0x33d37546, 0x33bc7944, 0x33a57b44, 0x338e7b46, 0x3377794b, 0x33607554,
+  0x33496f62, 0x33326776,
+  0x331b5d91, 0x330451b3, 0x32ed43de, 0x32d63412, 0x32bf2250, 0x32a80e99,
+  0x3290f8ef, 0x3279e151,
+  0x3262c7c1, 0x324bac40, 0x32348ecf, 0x321d6f6e, 0x32064e1e, 0x31ef2ae1,
+  0x31d805b7, 0x31c0dea1,
+  0x31a9b5a0, 0x31928ab4, 0x317b5de0, 0x31642f23, 0x314cfe7f, 0x3135cbf4,
+  0x311e9783, 0x3107612e,
+  0x30f028f4, 0x30d8eed8, 0x30c1b2da, 0x30aa74fa, 0x3093353a, 0x307bf39b,
+  0x3064b01d, 0x304d6ac1,
+  0x30362389, 0x301eda75, 0x30078f86, 0x2ff042bd, 0x2fd8f41b, 0x2fc1a3a0,
+  0x2faa514f, 0x2f92fd26,
+  0x2f7ba729, 0x2f644f56, 0x2f4cf5b0, 0x2f359a37, 0x2f1e3ced, 0x2f06ddd1,
+  0x2eef7ce5, 0x2ed81a29,
+  0x2ec0b5a0, 0x2ea94f49, 0x2e91e725, 0x2e7a7d36, 0x2e63117c, 0x2e4ba3f8,
+  0x2e3434ac, 0x2e1cc397,
+  0x2e0550bb, 0x2deddc19, 0x2dd665b2, 0x2dbeed86, 0x2da77397, 0x2d8ff7e5,
+  0x2d787a72, 0x2d60fb3e,
+  0x2d497a4a, 0x2d31f797, 0x2d1a7325, 0x2d02ecf7, 0x2ceb650d, 0x2cd3db67,
+  0x2cbc5006, 0x2ca4c2ed,
+  0x2c8d341a, 0x2c75a390, 0x2c5e114f, 0x2c467d58, 0x2c2ee7ad, 0x2c17504d,
+  0x2bffb73a, 0x2be81c74,
+  0x2bd07ffe, 0x2bb8e1d7, 0x2ba14200, 0x2b89a07b, 0x2b71fd48, 0x2b5a5868,
+  0x2b42b1dd, 0x2b2b09a6,
+  0x2b135fc6, 0x2afbb43c, 0x2ae4070a, 0x2acc5831, 0x2ab4a7b1, 0x2a9cf58c,
+  0x2a8541c3, 0x2a6d8c55,
+  0x2a55d545, 0x2a3e1c93, 0x2a266240, 0x2a0ea64d, 0x29f6e8bb, 0x29df298b,
+  0x29c768be, 0x29afa654,
+  0x2997e24f, 0x29801caf, 0x29685576, 0x29508ca4, 0x2938c23a, 0x2920f63a,
+  0x290928a3, 0x28f15978,
+  0x28d988b8, 0x28c1b666, 0x28a9e281, 0x28920d0a, 0x287a3604, 0x28625d6d,
+  0x284a8349, 0x2832a796,
+  0x281aca57, 0x2802eb8c, 0x27eb0b36, 0x27d32956, 0x27bb45ed, 0x27a360fc,
+  0x278b7a84, 0x27739285,
+  0x275ba901, 0x2743bdf9, 0x272bd16d, 0x2713e35f, 0x26fbf3ce, 0x26e402bd,
+  0x26cc102d, 0x26b41c1d,
+  0x269c268f, 0x26842f84, 0x266c36fe, 0x26543cfb, 0x263c417f, 0x26244489,
+  0x260c461b, 0x25f44635,
+  0x25dc44d9, 0x25c44207, 0x25ac3dc0, 0x25943806, 0x257c30d8, 0x25642839,
+  0x254c1e28, 0x253412a8,
+  0x251c05b8, 0x2503f75a, 0x24ebe78f, 0x24d3d657, 0x24bbc3b4, 0x24a3afa6,
+  0x248b9a2f, 0x2473834f,
+  0x245b6b07, 0x24435158, 0x242b3644, 0x241319ca, 0x23fafbec, 0x23e2dcac,
+  0x23cabc09, 0x23b29a05,
+  0x239a76a0, 0x238251dd, 0x236a2bba, 0x2352043b, 0x2339db5e, 0x2321b126,
+  0x23098593, 0x22f158a7,
+  0x22d92a61, 0x22c0fac4, 0x22a8c9cf, 0x22909785, 0x227863e5, 0x22602ef1,
+  0x2247f8aa, 0x222fc111,
+  0x22178826, 0x21ff4dea, 0x21e71260, 0x21ced586, 0x21b6975f, 0x219e57eb,
+  0x2186172b, 0x216dd521,
+  0x215591cc, 0x213d4d2f, 0x21250749, 0x210cc01d, 0x20f477aa, 0x20dc2df2,
+  0x20c3e2f5, 0x20ab96b5,
+  0x20934933, 0x207afa6f, 0x2062aa6b, 0x204a5927, 0x203206a4, 0x2019b2e4,
+  0x20015de7, 0x1fe907ae,
+  0x1fd0b03a, 0x1fb8578b, 0x1f9ffda4, 0x1f87a285, 0x1f6f462f, 0x1f56e8a2,
+  0x1f3e89e0, 0x1f2629ea,
+  0x1f0dc8c0, 0x1ef56664, 0x1edd02d6, 0x1ec49e17, 0x1eac3829, 0x1e93d10c,
+  0x1e7b68c2, 0x1e62ff4a,
+  0x1e4a94a7, 0x1e3228d9, 0x1e19bbe0, 0x1e014dbf, 0x1de8de75, 0x1dd06e04,
+  0x1db7fc6d, 0x1d9f89b1,
+  0x1d8715d0, 0x1d6ea0cc, 0x1d562aa6, 0x1d3db35e, 0x1d253af5, 0x1d0cc16c,
+  0x1cf446c5, 0x1cdbcb00,
+  0x1cc34e1f, 0x1caad021, 0x1c925109, 0x1c79d0d6, 0x1c614f8b, 0x1c48cd27,
+  0x1c3049ac, 0x1c17c51b,
+  0x1bff3f75, 0x1be6b8ba, 0x1bce30ec, 0x1bb5a80c, 0x1b9d1e1a, 0x1b849317,
+  0x1b6c0705, 0x1b5379e5,
+  0x1b3aebb6, 0x1b225c7b, 0x1b09cc34, 0x1af13ae3, 0x1ad8a887, 0x1ac01522,
+  0x1aa780b6, 0x1a8eeb42,
+  0x1a7654c8, 0x1a5dbd49, 0x1a4524c6, 0x1a2c8b3f, 0x1a13f0b6, 0x19fb552c,
+  0x19e2b8a2, 0x19ca1b17,
+  0x19b17c8f, 0x1998dd09, 0x19803c86, 0x19679b07, 0x194ef88e, 0x1936551b,
+  0x191db0af, 0x19050b4b,
+  0x18ec64f0, 0x18d3bda0, 0x18bb155a, 0x18a26c20, 0x1889c1f3, 0x187116d4,
+  0x18586ac3, 0x183fbdc3,
+  0x18270fd3, 0x180e60f4, 0x17f5b129, 0x17dd0070, 0x17c44ecd, 0x17ab9c3e,
+  0x1792e8c6, 0x177a3466,
+  0x17617f1d, 0x1748c8ee, 0x173011d9, 0x171759df, 0x16fea102, 0x16e5e741,
+  0x16cd2c9f, 0x16b4711b,
+  0x169bb4b7, 0x1682f774, 0x166a3953, 0x16517a55, 0x1638ba7a, 0x161ff9c4,
+  0x16073834, 0x15ee75cb,
+  0x15d5b288, 0x15bcee6f, 0x15a4297f, 0x158b63b9, 0x15729d1f, 0x1559d5b1,
+  0x15410d70, 0x1528445d,
+  0x150f7a7a, 0x14f6afc7, 0x14dde445, 0x14c517f4, 0x14ac4ad7, 0x14937cee,
+  0x147aae3a, 0x1461debc,
+  0x14490e74, 0x14303d65, 0x14176b8e, 0x13fe98f1, 0x13e5c58e, 0x13ccf167,
+  0x13b41c7d, 0x139b46d0,
+  0x13827062, 0x13699933, 0x1350c144, 0x1337e897, 0x131f0f2c, 0x13063505,
+  0x12ed5a21, 0x12d47e83,
+  0x12bba22b, 0x12a2c51b, 0x1289e752, 0x127108d2, 0x1258299c, 0x123f49b2,
+  0x12266913, 0x120d87c1,
+  0x11f4a5bd, 0x11dbc307, 0x11c2dfa2, 0x11a9fb8d, 0x119116c9, 0x11783159,
+  0x115f4b3c, 0x11466473,
+  0x112d7d00, 0x111494e4, 0x10fbac1e, 0x10e2c2b2, 0x10c9d89e, 0x10b0ede5,
+  0x10980287, 0x107f1686,
+  0x106629e1, 0x104d3c9b, 0x10344eb4, 0x101b602d, 0x10027107, 0xfe98143,
+  0xfd090e1, 0xfb79fe4,
+  0xf9eae4c, 0xf85bc19, 0xf6cc94e, 0xf53d5ea, 0xf3ae1ee, 0xf21ed5d, 0xf08f836,
+  0xef0027b,
+  0xed70c2c, 0xebe154b, 0xea51dd8, 0xe8c25d5, 0xe732d42, 0xe5a3421, 0xe413a72,
+  0xe284036,
+  0xe0f456f, 0xdf64a1c, 0xddd4e40, 0xdc451dc, 0xdab54ef, 0xd92577b, 0xd795982,
+  0xd605b03,
+  0xd475c00, 0xd2e5c7b, 0xd155c73, 0xcfc5bea, 0xce35ae1, 0xcca5959, 0xcb15752,
+  0xc9854cf,
+  0xc7f51cf, 0xc664e53, 0xc4d4a5d, 0xc3445ee, 0xc1b4107, 0xc023ba7, 0xbe935d2,
+  0xbd02f87,
+  0xbb728c7, 0xb9e2193, 0xb8519ed, 0xb6c11d5, 0xb53094d, 0xb3a0055, 0xb20f6ee,
+  0xb07ed19,
+  0xaeee2d7, 0xad5d829, 0xabccd11, 0xaa3c18e, 0xa8ab5a2, 0xa71a94f, 0xa589c94,
+  0xa3f8f73,
+  0xa2681ed, 0xa0d7403, 0x9f465b5, 0x9db5706, 0x9c247f5, 0x9a93884, 0x99028b3,
+  0x9771884,
+  0x95e07f8, 0x944f70f, 0x92be5ca, 0x912d42c, 0x8f9c233, 0x8e0afe2, 0x8c79d3a,
+  0x8ae8a3a,
+  0x89576e5, 0x87c633c, 0x8634f3e, 0x84a3aee, 0x831264c, 0x8181159, 0x7fefc16,
+  0x7e5e685,
+  0x7ccd0a5, 0x7b3ba78, 0x79aa400, 0x7818d3c, 0x768762e, 0x74f5ed7, 0x7364738,
+  0x71d2f52,
+  0x7041726, 0x6eafeb4, 0x6d1e5fe, 0x6b8cd05, 0x69fb3c9, 0x6869a4c, 0x66d808f,
+  0x6546692,
+  0x63b4c57, 0x62231de, 0x6091729, 0x5effc38, 0x5d6e10c, 0x5bdc5a7, 0x5a4aa09,
+  0x58b8e34,
+  0x5727228, 0x55955e6, 0x540396f, 0x5271cc4, 0x50dffe7, 0x4f4e2d8, 0x4dbc597,
+  0x4c2a827,
+  0x4a98a88, 0x4906cbb, 0x4774ec1, 0x45e309a, 0x4451249, 0x42bf3cd, 0x412d528,
+  0x3f9b65b,
+  0x3e09767, 0x3c7784d, 0x3ae590d, 0x39539a9, 0x37c1a22, 0x362fa78, 0x349daac,
+  0x330bac1,
+  0x3179ab5, 0x2fe7a8c, 0x2e55a44, 0x2cc39e1, 0x2b31961, 0x299f8c7, 0x280d813,
+  0x267b747,
+  0x24e9662, 0x2357567, 0x21c5457, 0x2033331, 0x1ea11f7, 0x1d0f0ab, 0x1b7cf4d,
+  0x19eaddd,
+  0x1858c5e, 0x16c6ad0, 0x1534934, 0x13a278a, 0x12105d5, 0x107e414, 0xeec249,
+  0xd5a075,
+  0xbc7e99, 0xa35cb5, 0x8a3acb, 0x7118dc, 0x57f6e9, 0x3ed4f2, 0x25b2f8,
+  0xc90fe,
+
+};
+
+static const q31_t cos_factorsQ31_8192[8192] = {
+  0x7ffffff6, 0x7fffffa7, 0x7fffff09, 0x7ffffe1c, 0x7ffffce1, 0x7ffffb56,
+    0x7ffff97c, 0x7ffff753,
+  0x7ffff4dc, 0x7ffff215, 0x7fffef00, 0x7fffeb9b, 0x7fffe7e8, 0x7fffe3e5,
+    0x7fffdf94, 0x7fffdaf3,
+  0x7fffd604, 0x7fffd0c6, 0x7fffcb39, 0x7fffc55c, 0x7fffbf31, 0x7fffb8b7,
+    0x7fffb1ee, 0x7fffaad6,
+  0x7fffa36f, 0x7fff9bb9, 0x7fff93b4, 0x7fff8b61, 0x7fff82be, 0x7fff79cc,
+    0x7fff708b, 0x7fff66fc,
+  0x7fff5d1d, 0x7fff52ef, 0x7fff4873, 0x7fff3da8, 0x7fff328d, 0x7fff2724,
+    0x7fff1b6b, 0x7fff0f64,
+  0x7fff030e, 0x7ffef669, 0x7ffee975, 0x7ffedc31, 0x7ffece9f, 0x7ffec0be,
+    0x7ffeb28e, 0x7ffea40f,
+  0x7ffe9542, 0x7ffe8625, 0x7ffe76b9, 0x7ffe66fe, 0x7ffe56f5, 0x7ffe469c,
+    0x7ffe35f4, 0x7ffe24fe,
+  0x7ffe13b8, 0x7ffe0224, 0x7ffdf040, 0x7ffdde0e, 0x7ffdcb8d, 0x7ffdb8bc,
+    0x7ffda59d, 0x7ffd922f,
+  0x7ffd7e72, 0x7ffd6a66, 0x7ffd560b, 0x7ffd4161, 0x7ffd2c68, 0x7ffd1720,
+    0x7ffd0189, 0x7ffceba4,
+  0x7ffcd56f, 0x7ffcbeeb, 0x7ffca819, 0x7ffc90f7, 0x7ffc7987, 0x7ffc61c7,
+    0x7ffc49b9, 0x7ffc315b,
+  0x7ffc18af, 0x7ffbffb4, 0x7ffbe66a, 0x7ffbccd0, 0x7ffbb2e8, 0x7ffb98b1,
+    0x7ffb7e2b, 0x7ffb6356,
+  0x7ffb4833, 0x7ffb2cc0, 0x7ffb10fe, 0x7ffaf4ed, 0x7ffad88e, 0x7ffabbdf,
+    0x7ffa9ee2, 0x7ffa8195,
+  0x7ffa63fa, 0x7ffa460f, 0x7ffa27d6, 0x7ffa094e, 0x7ff9ea76, 0x7ff9cb50,
+    0x7ff9abdb, 0x7ff98c17,
+  0x7ff96c04, 0x7ff94ba2, 0x7ff92af1, 0x7ff909f2, 0x7ff8e8a3, 0x7ff8c705,
+    0x7ff8a519, 0x7ff882dd,
+  0x7ff86053, 0x7ff83d79, 0x7ff81a51, 0x7ff7f6da, 0x7ff7d313, 0x7ff7aefe,
+    0x7ff78a9a, 0x7ff765e7,
+  0x7ff740e5, 0x7ff71b94, 0x7ff6f5f4, 0x7ff6d005, 0x7ff6a9c8, 0x7ff6833b,
+    0x7ff65c5f, 0x7ff63535,
+  0x7ff60dbb, 0x7ff5e5f3, 0x7ff5bddc, 0x7ff59576, 0x7ff56cc0, 0x7ff543bc,
+    0x7ff51a69, 0x7ff4f0c7,
+  0x7ff4c6d6, 0x7ff49c96, 0x7ff47208, 0x7ff4472a, 0x7ff41bfd, 0x7ff3f082,
+    0x7ff3c4b7, 0x7ff3989e,
+  0x7ff36c36, 0x7ff33f7e, 0x7ff31278, 0x7ff2e523, 0x7ff2b77f, 0x7ff2898c,
+    0x7ff25b4a, 0x7ff22cb9,
+  0x7ff1fdd9, 0x7ff1ceab, 0x7ff19f2d, 0x7ff16f61, 0x7ff13f45, 0x7ff10edb,
+    0x7ff0de22, 0x7ff0ad19,
+  0x7ff07bc2, 0x7ff04a1c, 0x7ff01827, 0x7fefe5e4, 0x7fefb351, 0x7fef806f,
+    0x7fef4d3e, 0x7fef19bf,
+  0x7feee5f0, 0x7feeb1d3, 0x7fee7d67, 0x7fee48ac, 0x7fee13a1, 0x7fedde48,
+    0x7feda8a0, 0x7fed72aa,
+  0x7fed3c64, 0x7fed05cf, 0x7fecceec, 0x7fec97b9, 0x7fec6038, 0x7fec2867,
+    0x7febf048, 0x7febb7da,
+  0x7feb7f1d, 0x7feb4611, 0x7feb0cb6, 0x7fead30c, 0x7fea9914, 0x7fea5ecc,
+    0x7fea2436, 0x7fe9e950,
+  0x7fe9ae1c, 0x7fe97299, 0x7fe936c7, 0x7fe8faa6, 0x7fe8be36, 0x7fe88177,
+    0x7fe84469, 0x7fe8070d,
+  0x7fe7c961, 0x7fe78b67, 0x7fe74d1e, 0x7fe70e85, 0x7fe6cf9e, 0x7fe69068,
+    0x7fe650e3, 0x7fe61110,
+  0x7fe5d0ed, 0x7fe5907b, 0x7fe54fbb, 0x7fe50eac, 0x7fe4cd4d, 0x7fe48ba0,
+    0x7fe449a4, 0x7fe40759,
+  0x7fe3c4bf, 0x7fe381d7, 0x7fe33e9f, 0x7fe2fb19, 0x7fe2b743, 0x7fe2731f,
+    0x7fe22eac, 0x7fe1e9ea,
+  0x7fe1a4d9, 0x7fe15f79, 0x7fe119cb, 0x7fe0d3cd, 0x7fe08d81, 0x7fe046e5,
+    0x7fdffffb, 0x7fdfb8c2,
+  0x7fdf713a, 0x7fdf2963, 0x7fdee13e, 0x7fde98c9, 0x7fde5006, 0x7fde06f3,
+    0x7fddbd92, 0x7fdd73e2,
+  0x7fdd29e3, 0x7fdcdf95, 0x7fdc94f9, 0x7fdc4a0d, 0x7fdbfed3, 0x7fdbb349,
+    0x7fdb6771, 0x7fdb1b4a,
+  0x7fdaced4, 0x7fda820f, 0x7fda34fc, 0x7fd9e799, 0x7fd999e8, 0x7fd94be8,
+    0x7fd8fd98, 0x7fd8aefa,
+  0x7fd8600e, 0x7fd810d2, 0x7fd7c147, 0x7fd7716e, 0x7fd72146, 0x7fd6d0cf,
+    0x7fd68009, 0x7fd62ef4,
+  0x7fd5dd90, 0x7fd58bdd, 0x7fd539dc, 0x7fd4e78c, 0x7fd494ed, 0x7fd441ff,
+    0x7fd3eec2, 0x7fd39b36,
+  0x7fd3475c, 0x7fd2f332, 0x7fd29eba, 0x7fd249f3, 0x7fd1f4dd, 0x7fd19f78,
+    0x7fd149c5, 0x7fd0f3c2,
+  0x7fd09d71, 0x7fd046d1, 0x7fcfefe2, 0x7fcf98a4, 0x7fcf4117, 0x7fcee93c,
+    0x7fce9112, 0x7fce3898,
+  0x7fcddfd0, 0x7fcd86b9, 0x7fcd2d54, 0x7fccd39f, 0x7fcc799c, 0x7fcc1f4a,
+    0x7fcbc4a9, 0x7fcb69b9,
+  0x7fcb0e7a, 0x7fcab2ed, 0x7fca5710, 0x7fc9fae5, 0x7fc99e6b, 0x7fc941a2,
+    0x7fc8e48b, 0x7fc88724,
+  0x7fc8296f, 0x7fc7cb6b, 0x7fc76d18, 0x7fc70e76, 0x7fc6af86, 0x7fc65046,
+    0x7fc5f0b8, 0x7fc590db,
+  0x7fc530af, 0x7fc4d035, 0x7fc46f6b, 0x7fc40e53, 0x7fc3acec, 0x7fc34b36,
+    0x7fc2e931, 0x7fc286de,
+  0x7fc2243b, 0x7fc1c14a, 0x7fc15e0a, 0x7fc0fa7b, 0x7fc0969e, 0x7fc03271,
+    0x7fbfcdf6, 0x7fbf692c,
+  0x7fbf0414, 0x7fbe9eac, 0x7fbe38f6, 0x7fbdd2f0, 0x7fbd6c9c, 0x7fbd05fa,
+    0x7fbc9f08, 0x7fbc37c8,
+  0x7fbbd039, 0x7fbb685b, 0x7fbb002e, 0x7fba97b2, 0x7fba2ee8, 0x7fb9c5cf,
+    0x7fb95c67, 0x7fb8f2b0,
+  0x7fb888ab, 0x7fb81e57, 0x7fb7b3b4, 0x7fb748c2, 0x7fb6dd81, 0x7fb671f2,
+    0x7fb60614, 0x7fb599e7,
+  0x7fb52d6b, 0x7fb4c0a1, 0x7fb45387, 0x7fb3e61f, 0x7fb37869, 0x7fb30a63,
+    0x7fb29c0f, 0x7fb22d6c,
+  0x7fb1be7a, 0x7fb14f39, 0x7fb0dfaa, 0x7fb06fcb, 0x7fafff9e, 0x7faf8f23,
+    0x7faf1e58, 0x7faead3f,
+  0x7fae3bd7, 0x7fadca20, 0x7fad581b, 0x7face5c6, 0x7fac7323, 0x7fac0031,
+    0x7fab8cf1, 0x7fab1962,
+  0x7faaa584, 0x7faa3157, 0x7fa9bcdb, 0x7fa94811, 0x7fa8d2f8, 0x7fa85d90,
+    0x7fa7e7d9, 0x7fa771d4,
+  0x7fa6fb80, 0x7fa684dd, 0x7fa60dec, 0x7fa596ac, 0x7fa51f1d, 0x7fa4a73f,
+    0x7fa42f12, 0x7fa3b697,
+  0x7fa33dcd, 0x7fa2c4b5, 0x7fa24b4d, 0x7fa1d197, 0x7fa15792, 0x7fa0dd3f,
+    0x7fa0629c, 0x7f9fe7ab,
+  0x7f9f6c6b, 0x7f9ef0dd, 0x7f9e7500, 0x7f9df8d4, 0x7f9d7c59, 0x7f9cff90,
+    0x7f9c8278, 0x7f9c0511,
+  0x7f9b875b, 0x7f9b0957, 0x7f9a8b04, 0x7f9a0c62, 0x7f998d72, 0x7f990e33,
+    0x7f988ea5, 0x7f980ec8,
+  0x7f978e9d, 0x7f970e23, 0x7f968d5b, 0x7f960c43, 0x7f958add, 0x7f950929,
+    0x7f948725, 0x7f9404d3,
+  0x7f938232, 0x7f92ff43, 0x7f927c04, 0x7f91f878, 0x7f91749c, 0x7f90f072,
+    0x7f906bf9, 0x7f8fe731,
+  0x7f8f621b, 0x7f8edcb6, 0x7f8e5702, 0x7f8dd0ff, 0x7f8d4aae, 0x7f8cc40f,
+    0x7f8c3d20, 0x7f8bb5e3,
+  0x7f8b2e57, 0x7f8aa67d, 0x7f8a1e54, 0x7f8995dc, 0x7f890d15, 0x7f888400,
+    0x7f87fa9c, 0x7f8770ea,
+  0x7f86e6e9, 0x7f865c99, 0x7f85d1fa, 0x7f85470d, 0x7f84bbd1, 0x7f843047,
+    0x7f83a46e, 0x7f831846,
+  0x7f828bcf, 0x7f81ff0a, 0x7f8171f6, 0x7f80e494, 0x7f8056e3, 0x7f7fc8e3,
+    0x7f7f3a95, 0x7f7eabf8,
+  0x7f7e1d0c, 0x7f7d8dd2, 0x7f7cfe49, 0x7f7c6e71, 0x7f7bde4b, 0x7f7b4dd6,
+    0x7f7abd13, 0x7f7a2c01,
+  0x7f799aa0, 0x7f7908f0, 0x7f7876f2, 0x7f77e4a6, 0x7f77520a, 0x7f76bf21,
+    0x7f762be8, 0x7f759861,
+  0x7f75048b, 0x7f747067, 0x7f73dbf4, 0x7f734732, 0x7f72b222, 0x7f721cc3,
+    0x7f718715, 0x7f70f119,
+  0x7f705ace, 0x7f6fc435, 0x7f6f2d4d, 0x7f6e9617, 0x7f6dfe91, 0x7f6d66be,
+    0x7f6cce9b, 0x7f6c362a,
+  0x7f6b9d6b, 0x7f6b045d, 0x7f6a6b00, 0x7f69d154, 0x7f69375a, 0x7f689d12,
+    0x7f68027b, 0x7f676795,
+  0x7f66cc61, 0x7f6630de, 0x7f65950c, 0x7f64f8ec, 0x7f645c7d, 0x7f63bfc0,
+    0x7f6322b4, 0x7f62855a,
+  0x7f61e7b1, 0x7f6149b9, 0x7f60ab73, 0x7f600cdf, 0x7f5f6dfb, 0x7f5ecec9,
+    0x7f5e2f49, 0x7f5d8f7a,
+  0x7f5cef5c, 0x7f5c4ef0, 0x7f5bae36, 0x7f5b0d2c, 0x7f5a6bd5, 0x7f59ca2e,
+    0x7f592839, 0x7f5885f6,
+  0x7f57e364, 0x7f574083, 0x7f569d54, 0x7f55f9d6, 0x7f55560a, 0x7f54b1ef,
+    0x7f540d86, 0x7f5368ce,
+  0x7f52c3c8, 0x7f521e73, 0x7f5178cf, 0x7f50d2dd, 0x7f502c9d, 0x7f4f860e,
+    0x7f4edf30, 0x7f4e3804,
+  0x7f4d9089, 0x7f4ce8c0, 0x7f4c40a8, 0x7f4b9842, 0x7f4aef8d, 0x7f4a468a,
+    0x7f499d38, 0x7f48f398,
+  0x7f4849a9, 0x7f479f6c, 0x7f46f4e0, 0x7f464a06, 0x7f459edd, 0x7f44f365,
+    0x7f44479f, 0x7f439b8b,
+  0x7f42ef28, 0x7f424277, 0x7f419577, 0x7f40e828, 0x7f403a8b, 0x7f3f8ca0,
+    0x7f3ede66, 0x7f3e2fde,
+  0x7f3d8107, 0x7f3cd1e2, 0x7f3c226e, 0x7f3b72ab, 0x7f3ac29b, 0x7f3a123b,
+    0x7f39618e, 0x7f38b091,
+  0x7f37ff47, 0x7f374dad, 0x7f369bc6, 0x7f35e990, 0x7f35370b, 0x7f348438,
+    0x7f33d116, 0x7f331da6,
+  0x7f3269e8, 0x7f31b5db, 0x7f31017f, 0x7f304cd6, 0x7f2f97dd, 0x7f2ee296,
+    0x7f2e2d01, 0x7f2d771e,
+  0x7f2cc0eb, 0x7f2c0a6b, 0x7f2b539c, 0x7f2a9c7e, 0x7f29e512, 0x7f292d58,
+    0x7f28754f, 0x7f27bcf8,
+  0x7f270452, 0x7f264b5e, 0x7f25921c, 0x7f24d88b, 0x7f241eab, 0x7f23647e,
+    0x7f22aa01, 0x7f21ef37,
+  0x7f21341e, 0x7f2078b6, 0x7f1fbd00, 0x7f1f00fc, 0x7f1e44a9, 0x7f1d8808,
+    0x7f1ccb18, 0x7f1c0dda,
+  0x7f1b504e, 0x7f1a9273, 0x7f19d44a, 0x7f1915d2, 0x7f18570c, 0x7f1797f8,
+    0x7f16d895, 0x7f1618e4,
+  0x7f1558e4, 0x7f149896, 0x7f13d7fa, 0x7f13170f, 0x7f1255d6, 0x7f11944f,
+    0x7f10d279, 0x7f101054,
+  0x7f0f4de2, 0x7f0e8b21, 0x7f0dc811, 0x7f0d04b3, 0x7f0c4107, 0x7f0b7d0d,
+    0x7f0ab8c4, 0x7f09f42d,
+  0x7f092f47, 0x7f086a13, 0x7f07a491, 0x7f06dec0, 0x7f0618a1, 0x7f055233,
+    0x7f048b78, 0x7f03c46d,
+  0x7f02fd15, 0x7f02356e, 0x7f016d79, 0x7f00a535, 0x7effdca4, 0x7eff13c3,
+    0x7efe4a95, 0x7efd8118,
+  0x7efcb74d, 0x7efbed33, 0x7efb22cb, 0x7efa5815, 0x7ef98d11, 0x7ef8c1be,
+    0x7ef7f61d, 0x7ef72a2d,
+  0x7ef65def, 0x7ef59163, 0x7ef4c489, 0x7ef3f760, 0x7ef329e9, 0x7ef25c24,
+    0x7ef18e10, 0x7ef0bfae,
+  0x7eeff0fe, 0x7eef21ff, 0x7eee52b2, 0x7eed8317, 0x7eecb32d, 0x7eebe2f6,
+    0x7eeb1270, 0x7eea419b,
+  0x7ee97079, 0x7ee89f08, 0x7ee7cd49, 0x7ee6fb3b, 0x7ee628df, 0x7ee55635,
+    0x7ee4833d, 0x7ee3aff6,
+  0x7ee2dc61, 0x7ee2087e, 0x7ee1344d, 0x7ee05fcd, 0x7edf8aff, 0x7edeb5e3,
+    0x7edde079, 0x7edd0ac0,
+  0x7edc34b9, 0x7edb5e64, 0x7eda87c0, 0x7ed9b0ce, 0x7ed8d98e, 0x7ed80200,
+    0x7ed72a24, 0x7ed651f9,
+  0x7ed57980, 0x7ed4a0b9, 0x7ed3c7a3, 0x7ed2ee40, 0x7ed2148e, 0x7ed13a8e,
+    0x7ed0603f, 0x7ecf85a3,
+  0x7eceaab8, 0x7ecdcf7f, 0x7eccf3f8, 0x7ecc1822, 0x7ecb3bff, 0x7eca5f8d,
+    0x7ec982cd, 0x7ec8a5bf,
+  0x7ec7c862, 0x7ec6eab7, 0x7ec60cbe, 0x7ec52e77, 0x7ec44fe2, 0x7ec370fe,
+    0x7ec291cd, 0x7ec1b24d,
+  0x7ec0d27f, 0x7ebff263, 0x7ebf11f8, 0x7ebe313f, 0x7ebd5039, 0x7ebc6ee4,
+    0x7ebb8d40, 0x7ebaab4f,
+  0x7eb9c910, 0x7eb8e682, 0x7eb803a6, 0x7eb7207c, 0x7eb63d04, 0x7eb5593d,
+    0x7eb47529, 0x7eb390c6,
+  0x7eb2ac15, 0x7eb1c716, 0x7eb0e1c9, 0x7eaffc2e, 0x7eaf1645, 0x7eae300d,
+    0x7ead4987, 0x7eac62b3,
+  0x7eab7b91, 0x7eaa9421, 0x7ea9ac63, 0x7ea8c457, 0x7ea7dbfc, 0x7ea6f353,
+    0x7ea60a5d, 0x7ea52118,
+  0x7ea43785, 0x7ea34da4, 0x7ea26374, 0x7ea178f7, 0x7ea08e2b, 0x7e9fa312,
+    0x7e9eb7aa, 0x7e9dcbf4,
+  0x7e9cdff0, 0x7e9bf39e, 0x7e9b06fe, 0x7e9a1a10, 0x7e992cd4, 0x7e983f49,
+    0x7e975171, 0x7e96634a,
+  0x7e9574d6, 0x7e948613, 0x7e939702, 0x7e92a7a3, 0x7e91b7f6, 0x7e90c7fb,
+    0x7e8fd7b2, 0x7e8ee71b,
+  0x7e8df636, 0x7e8d0502, 0x7e8c1381, 0x7e8b21b1, 0x7e8a2f94, 0x7e893d28,
+    0x7e884a6f, 0x7e875767,
+  0x7e866411, 0x7e85706d, 0x7e847c7c, 0x7e83883c, 0x7e8293ae, 0x7e819ed2,
+    0x7e80a9a8, 0x7e7fb430,
+  0x7e7ebe6a, 0x7e7dc856, 0x7e7cd1f4, 0x7e7bdb44, 0x7e7ae446, 0x7e79ecf9,
+    0x7e78f55f, 0x7e77fd77,
+  0x7e770541, 0x7e760cbd, 0x7e7513ea, 0x7e741aca, 0x7e73215c, 0x7e7227a0,
+    0x7e712d96, 0x7e70333d,
+  0x7e6f3897, 0x7e6e3da3, 0x7e6d4261, 0x7e6c46d1, 0x7e6b4af2, 0x7e6a4ec6,
+    0x7e69524c, 0x7e685584,
+  0x7e67586e, 0x7e665b0a, 0x7e655d58, 0x7e645f58, 0x7e63610a, 0x7e62626e,
+    0x7e616384, 0x7e60644c,
+  0x7e5f64c7, 0x7e5e64f3, 0x7e5d64d1, 0x7e5c6461, 0x7e5b63a4, 0x7e5a6298,
+    0x7e59613f, 0x7e585f97,
+  0x7e575da2, 0x7e565b5f, 0x7e5558ce, 0x7e5455ef, 0x7e5352c1, 0x7e524f46,
+    0x7e514b7e, 0x7e504767,
+  0x7e4f4302, 0x7e4e3e4f, 0x7e4d394f, 0x7e4c3400, 0x7e4b2e64, 0x7e4a287a,
+    0x7e492241, 0x7e481bbb,
+  0x7e4714e7, 0x7e460dc5, 0x7e450656, 0x7e43fe98, 0x7e42f68c, 0x7e41ee33,
+    0x7e40e58c, 0x7e3fdc97,
+  0x7e3ed353, 0x7e3dc9c3, 0x7e3cbfe4, 0x7e3bb5b7, 0x7e3aab3c, 0x7e39a074,
+    0x7e38955e, 0x7e3789fa,
+  0x7e367e48, 0x7e357248, 0x7e3465fa, 0x7e33595e, 0x7e324c75, 0x7e313f3e,
+    0x7e3031b9, 0x7e2f23e6,
+  0x7e2e15c5, 0x7e2d0756, 0x7e2bf89a, 0x7e2ae990, 0x7e29da38, 0x7e28ca92,
+    0x7e27ba9e, 0x7e26aa5d,
+  0x7e2599cd, 0x7e2488f0, 0x7e2377c5, 0x7e22664c, 0x7e215486, 0x7e204271,
+    0x7e1f300f, 0x7e1e1d5f,
+  0x7e1d0a61, 0x7e1bf716, 0x7e1ae37c, 0x7e19cf95, 0x7e18bb60, 0x7e17a6dd,
+    0x7e16920d, 0x7e157cee,
+  0x7e146782, 0x7e1351c9, 0x7e123bc1, 0x7e11256c, 0x7e100ec8, 0x7e0ef7d7,
+    0x7e0de099, 0x7e0cc90c,
+  0x7e0bb132, 0x7e0a990a, 0x7e098095, 0x7e0867d1, 0x7e074ec0, 0x7e063561,
+    0x7e051bb4, 0x7e0401ba,
+  0x7e02e772, 0x7e01ccdc, 0x7e00b1f9, 0x7dff96c7, 0x7dfe7b48, 0x7dfd5f7b,
+    0x7dfc4361, 0x7dfb26f9,
+  0x7dfa0a43, 0x7df8ed3f, 0x7df7cfee, 0x7df6b24f, 0x7df59462, 0x7df47628,
+    0x7df357a0, 0x7df238ca,
+  0x7df119a7, 0x7deffa35, 0x7deeda77, 0x7dedba6a, 0x7dec9a10, 0x7deb7968,
+    0x7dea5872, 0x7de9372f,
+  0x7de8159e, 0x7de6f3c0, 0x7de5d193, 0x7de4af1a, 0x7de38c52, 0x7de2693d,
+    0x7de145da, 0x7de02229,
+  0x7ddefe2b, 0x7dddd9e0, 0x7ddcb546, 0x7ddb905f, 0x7dda6b2a, 0x7dd945a8,
+    0x7dd81fd8, 0x7dd6f9ba,
+  0x7dd5d34f, 0x7dd4ac96, 0x7dd38590, 0x7dd25e3c, 0x7dd1369a, 0x7dd00eab,
+    0x7dcee66e, 0x7dcdbde3,
+  0x7dcc950b, 0x7dcb6be6, 0x7dca4272, 0x7dc918b1, 0x7dc7eea3, 0x7dc6c447,
+    0x7dc5999d, 0x7dc46ea6,
+  0x7dc34361, 0x7dc217cf, 0x7dc0ebef, 0x7dbfbfc1, 0x7dbe9346, 0x7dbd667d,
+    0x7dbc3967, 0x7dbb0c03,
+  0x7db9de52, 0x7db8b053, 0x7db78207, 0x7db6536d, 0x7db52485, 0x7db3f550,
+    0x7db2c5cd, 0x7db195fd,
+  0x7db065df, 0x7daf3574, 0x7dae04bb, 0x7dacd3b5, 0x7daba261, 0x7daa70c0,
+    0x7da93ed1, 0x7da80c95,
+  0x7da6da0b, 0x7da5a733, 0x7da4740e, 0x7da3409c, 0x7da20cdc, 0x7da0d8cf,
+    0x7d9fa474, 0x7d9e6fcb,
+  0x7d9d3ad6, 0x7d9c0592, 0x7d9ad001, 0x7d999a23, 0x7d9863f7, 0x7d972d7e,
+    0x7d95f6b7, 0x7d94bfa3,
+  0x7d938841, 0x7d925092, 0x7d911896, 0x7d8fe04c, 0x7d8ea7b4, 0x7d8d6ecf,
+    0x7d8c359d, 0x7d8afc1d,
+  0x7d89c250, 0x7d888835, 0x7d874dcd, 0x7d861317, 0x7d84d814, 0x7d839cc4,
+    0x7d826126, 0x7d81253a,
+  0x7d7fe902, 0x7d7eac7c, 0x7d7d6fa8, 0x7d7c3287, 0x7d7af519, 0x7d79b75d,
+    0x7d787954, 0x7d773afd,
+  0x7d75fc59, 0x7d74bd68, 0x7d737e29, 0x7d723e9d, 0x7d70fec4, 0x7d6fbe9d,
+    0x7d6e7e29, 0x7d6d3d67,
+  0x7d6bfc58, 0x7d6abafc, 0x7d697952, 0x7d68375b, 0x7d66f517, 0x7d65b285,
+    0x7d646fa6, 0x7d632c79,
+  0x7d61e8ff, 0x7d60a538, 0x7d5f6124, 0x7d5e1cc2, 0x7d5cd813, 0x7d5b9316,
+    0x7d5a4dcc, 0x7d590835,
+  0x7d57c251, 0x7d567c1f, 0x7d5535a0, 0x7d53eed3, 0x7d52a7ba, 0x7d516053,
+    0x7d50189e, 0x7d4ed09d,
+  0x7d4d884e, 0x7d4c3fb1, 0x7d4af6c8, 0x7d49ad91, 0x7d48640d, 0x7d471a3c,
+    0x7d45d01d, 0x7d4485b1,
+  0x7d433af8, 0x7d41eff1, 0x7d40a49e, 0x7d3f58fd, 0x7d3e0d0e, 0x7d3cc0d3,
+    0x7d3b744a, 0x7d3a2774,
+  0x7d38da51, 0x7d378ce0, 0x7d363f23, 0x7d34f118, 0x7d33a2bf, 0x7d32541a,
+    0x7d310527, 0x7d2fb5e7,
+  0x7d2e665a, 0x7d2d1680, 0x7d2bc659, 0x7d2a75e4, 0x7d292522, 0x7d27d413,
+    0x7d2682b6, 0x7d25310d,
+  0x7d23df16, 0x7d228cd2, 0x7d213a41, 0x7d1fe762, 0x7d1e9437, 0x7d1d40be,
+    0x7d1becf8, 0x7d1a98e5,
+  0x7d194485, 0x7d17efd8, 0x7d169add, 0x7d154595, 0x7d13f001, 0x7d129a1f,
+    0x7d1143ef, 0x7d0fed73,
+  0x7d0e96aa, 0x7d0d3f93, 0x7d0be82f, 0x7d0a907e, 0x7d093880, 0x7d07e035,
+    0x7d06879d, 0x7d052eb8,
+  0x7d03d585, 0x7d027c05, 0x7d012239, 0x7cffc81f, 0x7cfe6db8, 0x7cfd1304,
+    0x7cfbb803, 0x7cfa5cb4,
+  0x7cf90119, 0x7cf7a531, 0x7cf648fb, 0x7cf4ec79, 0x7cf38fa9, 0x7cf2328c,
+    0x7cf0d522, 0x7cef776b,
+  0x7cee1967, 0x7cecbb16, 0x7ceb5c78, 0x7ce9fd8d, 0x7ce89e55, 0x7ce73ed0,
+    0x7ce5defd, 0x7ce47ede,
+  0x7ce31e72, 0x7ce1bdb8, 0x7ce05cb2, 0x7cdefb5e, 0x7cdd99be, 0x7cdc37d0,
+    0x7cdad596, 0x7cd9730e,
+  0x7cd8103a, 0x7cd6ad18, 0x7cd549aa, 0x7cd3e5ee, 0x7cd281e5, 0x7cd11d90,
+    0x7ccfb8ed, 0x7cce53fe,
+  0x7ccceec1, 0x7ccb8937, 0x7cca2361, 0x7cc8bd3d, 0x7cc756cd, 0x7cc5f010,
+    0x7cc48905, 0x7cc321ae,
+  0x7cc1ba09, 0x7cc05218, 0x7cbee9da, 0x7cbd814f, 0x7cbc1877, 0x7cbaaf51,
+    0x7cb945df, 0x7cb7dc20,
+  0x7cb67215, 0x7cb507bc, 0x7cb39d16, 0x7cb23223, 0x7cb0c6e4, 0x7caf5b57,
+    0x7cadef7e, 0x7cac8358,
+  0x7cab16e4, 0x7ca9aa24, 0x7ca83d17, 0x7ca6cfbd, 0x7ca56216, 0x7ca3f423,
+    0x7ca285e2, 0x7ca11755,
+  0x7c9fa87a, 0x7c9e3953, 0x7c9cc9df, 0x7c9b5a1e, 0x7c99ea10, 0x7c9879b6,
+    0x7c97090e, 0x7c95981a,
+  0x7c9426d8, 0x7c92b54a, 0x7c91436f, 0x7c8fd148, 0x7c8e5ed3, 0x7c8cec12,
+    0x7c8b7903, 0x7c8a05a8,
+  0x7c889200, 0x7c871e0c, 0x7c85a9ca, 0x7c84353c, 0x7c82c060, 0x7c814b39,
+    0x7c7fd5c4, 0x7c7e6002,
+  0x7c7ce9f4, 0x7c7b7399, 0x7c79fcf1, 0x7c7885fc, 0x7c770eba, 0x7c75972c,
+    0x7c741f51, 0x7c72a729,
+  0x7c712eb5, 0x7c6fb5f3, 0x7c6e3ce5, 0x7c6cc38a, 0x7c6b49e3, 0x7c69cfee,
+    0x7c6855ad, 0x7c66db1f,
+  0x7c656045, 0x7c63e51e, 0x7c6269aa, 0x7c60ede9, 0x7c5f71db, 0x7c5df581,
+    0x7c5c78da, 0x7c5afbe6,
+  0x7c597ea6, 0x7c580119, 0x7c56833f, 0x7c550519, 0x7c5386a6, 0x7c5207e6,
+    0x7c5088d9, 0x7c4f0980,
+  0x7c4d89da, 0x7c4c09e8, 0x7c4a89a8, 0x7c49091c, 0x7c478844, 0x7c46071f,
+    0x7c4485ad, 0x7c4303ee,
+  0x7c4181e3, 0x7c3fff8b, 0x7c3e7ce7, 0x7c3cf9f5, 0x7c3b76b8, 0x7c39f32d,
+    0x7c386f56, 0x7c36eb33,
+  0x7c3566c2, 0x7c33e205, 0x7c325cfc, 0x7c30d7a6, 0x7c2f5203, 0x7c2dcc14,
+    0x7c2c45d8, 0x7c2abf4f,
+  0x7c29387a, 0x7c27b158, 0x7c2629ea, 0x7c24a22f, 0x7c231a28, 0x7c2191d4,
+    0x7c200933, 0x7c1e8046,
+  0x7c1cf70c, 0x7c1b6d86, 0x7c19e3b3, 0x7c185994, 0x7c16cf28, 0x7c15446f,
+    0x7c13b96a, 0x7c122e19,
+  0x7c10a27b, 0x7c0f1690, 0x7c0d8a59, 0x7c0bfdd5, 0x7c0a7105, 0x7c08e3e8,
+    0x7c07567f, 0x7c05c8c9,
+  0x7c043ac7, 0x7c02ac78, 0x7c011ddd, 0x7bff8ef5, 0x7bfdffc1, 0x7bfc7041,
+    0x7bfae073, 0x7bf9505a,
+  0x7bf7bff4, 0x7bf62f41, 0x7bf49e42, 0x7bf30cf6, 0x7bf17b5e, 0x7befe97a,
+    0x7bee5749, 0x7becc4cc,
+  0x7beb3202, 0x7be99eec, 0x7be80b89, 0x7be677da, 0x7be4e3df, 0x7be34f97,
+    0x7be1bb02, 0x7be02621,
+  0x7bde90f4, 0x7bdcfb7b, 0x7bdb65b5, 0x7bd9cfa2, 0x7bd83944, 0x7bd6a298,
+    0x7bd50ba1, 0x7bd3745d,
+  0x7bd1dccc, 0x7bd044f0, 0x7bceacc7, 0x7bcd1451, 0x7bcb7b8f, 0x7bc9e281,
+    0x7bc84927, 0x7bc6af80,
+  0x7bc5158c, 0x7bc37b4d, 0x7bc1e0c1, 0x7bc045e9, 0x7bbeaac4, 0x7bbd0f53,
+    0x7bbb7396, 0x7bb9d78c,
+  0x7bb83b36, 0x7bb69e94, 0x7bb501a5, 0x7bb3646a, 0x7bb1c6e3, 0x7bb02910,
+    0x7bae8af0, 0x7bacec84,
+  0x7bab4dcc, 0x7ba9aec7, 0x7ba80f76, 0x7ba66fd9, 0x7ba4cfef, 0x7ba32fba,
+    0x7ba18f38, 0x7b9fee69,
+  0x7b9e4d4f, 0x7b9cabe8, 0x7b9b0a35, 0x7b996836, 0x7b97c5ea, 0x7b962352,
+    0x7b94806e, 0x7b92dd3e,
+  0x7b9139c2, 0x7b8f95f9, 0x7b8df1e4, 0x7b8c4d83, 0x7b8aa8d6, 0x7b8903dc,
+    0x7b875e96, 0x7b85b904,
+  0x7b841326, 0x7b826cfc, 0x7b80c686, 0x7b7f1fc3, 0x7b7d78b4, 0x7b7bd159,
+    0x7b7a29b2, 0x7b7881be,
+  0x7b76d97f, 0x7b7530f3, 0x7b73881b, 0x7b71def7, 0x7b703587, 0x7b6e8bcb,
+    0x7b6ce1c2, 0x7b6b376e,
+  0x7b698ccd, 0x7b67e1e0, 0x7b6636a7, 0x7b648b22, 0x7b62df51, 0x7b613334,
+    0x7b5f86ca, 0x7b5dda15,
+  0x7b5c2d13, 0x7b5a7fc6, 0x7b58d22c, 0x7b572446, 0x7b557614, 0x7b53c796,
+    0x7b5218cc, 0x7b5069b6,
+  0x7b4eba53, 0x7b4d0aa5, 0x7b4b5aab, 0x7b49aa64, 0x7b47f9d2, 0x7b4648f3,
+    0x7b4497c9, 0x7b42e652,
+  0x7b413490, 0x7b3f8281, 0x7b3dd026, 0x7b3c1d80, 0x7b3a6a8d, 0x7b38b74e,
+    0x7b3703c3, 0x7b354fed,
+  0x7b339bca, 0x7b31e75b, 0x7b3032a0, 0x7b2e7d9a, 0x7b2cc847, 0x7b2b12a8,
+    0x7b295cbe, 0x7b27a687,
+  0x7b25f004, 0x7b243936, 0x7b22821b, 0x7b20cab5, 0x7b1f1302, 0x7b1d5b04,
+    0x7b1ba2b9, 0x7b19ea23,
+  0x7b183141, 0x7b167813, 0x7b14be99, 0x7b1304d3, 0x7b114ac1, 0x7b0f9063,
+    0x7b0dd5b9, 0x7b0c1ac4,
+  0x7b0a5f82, 0x7b08a3f5, 0x7b06e81b, 0x7b052bf6, 0x7b036f85, 0x7b01b2c8,
+    0x7afff5bf, 0x7afe386a,
+  0x7afc7aca, 0x7afabcdd, 0x7af8fea5, 0x7af74021, 0x7af58151, 0x7af3c235,
+    0x7af202cd, 0x7af0431a,
+  0x7aee831a, 0x7aecc2cf, 0x7aeb0238, 0x7ae94155, 0x7ae78026, 0x7ae5beac,
+    0x7ae3fce6, 0x7ae23ad4,
+  0x7ae07876, 0x7adeb5cc, 0x7adcf2d6, 0x7adb2f95, 0x7ad96c08, 0x7ad7a82f,
+    0x7ad5e40a, 0x7ad41f9a,
+  0x7ad25ade, 0x7ad095d6, 0x7aced082, 0x7acd0ae3, 0x7acb44f8, 0x7ac97ec1,
+    0x7ac7b83e, 0x7ac5f170,
+  0x7ac42a55, 0x7ac262ef, 0x7ac09b3e, 0x7abed341, 0x7abd0af7, 0x7abb4263,
+    0x7ab97982, 0x7ab7b056,
+  0x7ab5e6de, 0x7ab41d1b, 0x7ab2530b, 0x7ab088b0, 0x7aaebe0a, 0x7aacf318,
+    0x7aab27da, 0x7aa95c50,
+  0x7aa7907b, 0x7aa5c45a, 0x7aa3f7ed, 0x7aa22b35, 0x7aa05e31, 0x7a9e90e1,
+    0x7a9cc346, 0x7a9af55f,
+  0x7a99272d, 0x7a9758af, 0x7a9589e5, 0x7a93bad0, 0x7a91eb6f, 0x7a901bc2,
+    0x7a8e4bca, 0x7a8c7b87,
+  0x7a8aaaf7, 0x7a88da1c, 0x7a8708f6, 0x7a853784, 0x7a8365c6, 0x7a8193bd,
+    0x7a7fc168, 0x7a7deec8,
+  0x7a7c1bdc, 0x7a7a48a4, 0x7a787521, 0x7a76a153, 0x7a74cd38, 0x7a72f8d3,
+    0x7a712422, 0x7a6f4f25,
+  0x7a6d79dd, 0x7a6ba449, 0x7a69ce6a, 0x7a67f83f, 0x7a6621c9, 0x7a644b07,
+    0x7a6273fa, 0x7a609ca1,
+  0x7a5ec4fc, 0x7a5ced0d, 0x7a5b14d1, 0x7a593c4b, 0x7a576379, 0x7a558a5b,
+    0x7a53b0f2, 0x7a51d73d,
+  0x7a4ffd3d, 0x7a4e22f2, 0x7a4c485b, 0x7a4a6d78, 0x7a48924b, 0x7a46b6d1,
+    0x7a44db0d, 0x7a42fefd,
+  0x7a4122a1, 0x7a3f45fa, 0x7a3d6908, 0x7a3b8bca, 0x7a39ae41, 0x7a37d06d,
+    0x7a35f24d, 0x7a3413e2,
+  0x7a32352b, 0x7a305629, 0x7a2e76dc, 0x7a2c9743, 0x7a2ab75f, 0x7a28d72f,
+    0x7a26f6b4, 0x7a2515ee,
+  0x7a2334dd, 0x7a215380, 0x7a1f71d7, 0x7a1d8fe4, 0x7a1bada5, 0x7a19cb1b,
+    0x7a17e845, 0x7a160524,
+  0x7a1421b8, 0x7a123e01, 0x7a1059fe, 0x7a0e75b0, 0x7a0c9117, 0x7a0aac32,
+    0x7a08c702, 0x7a06e187,
+  0x7a04fbc1, 0x7a0315af, 0x7a012f52, 0x79ff48aa, 0x79fd61b6, 0x79fb7a77,
+    0x79f992ed, 0x79f7ab18,
+  0x79f5c2f8, 0x79f3da8c, 0x79f1f1d5, 0x79f008d3, 0x79ee1f86, 0x79ec35ed,
+    0x79ea4c09, 0x79e861da,
+  0x79e67760, 0x79e48c9b, 0x79e2a18a, 0x79e0b62e, 0x79deca87, 0x79dcde95,
+    0x79daf258, 0x79d905d0,
+  0x79d718fc, 0x79d52bdd, 0x79d33e73, 0x79d150be, 0x79cf62be, 0x79cd7473,
+    0x79cb85dc, 0x79c996fb,
+  0x79c7a7ce, 0x79c5b856, 0x79c3c893, 0x79c1d885, 0x79bfe82c, 0x79bdf788,
+    0x79bc0698, 0x79ba155e,
+  0x79b823d8, 0x79b63207, 0x79b43fec, 0x79b24d85, 0x79b05ad3, 0x79ae67d6,
+    0x79ac748e, 0x79aa80fb,
+  0x79a88d1d, 0x79a698f4, 0x79a4a480, 0x79a2afc1, 0x79a0bab6, 0x799ec561,
+    0x799ccfc1, 0x799ad9d5,
+  0x7998e39f, 0x7996ed1e, 0x7994f651, 0x7992ff3a, 0x799107d8, 0x798f102a,
+    0x798d1832, 0x798b1fef,
+  0x79892761, 0x79872e87, 0x79853563, 0x79833bf4, 0x7981423a, 0x797f4835,
+    0x797d4de5, 0x797b534a,
+  0x79795864, 0x79775d33, 0x797561b8, 0x797365f1, 0x797169df, 0x796f6d83,
+    0x796d70dc, 0x796b73e9,
+  0x796976ac, 0x79677924, 0x79657b51, 0x79637d33, 0x79617eca, 0x795f8017,
+    0x795d8118, 0x795b81cf,
+  0x7959823b, 0x7957825c, 0x79558232, 0x795381bd, 0x795180fe, 0x794f7ff3,
+    0x794d7e9e, 0x794b7cfe,
+  0x79497b13, 0x794778dd, 0x7945765d, 0x79437391, 0x7941707b, 0x793f6d1a,
+    0x793d696f, 0x793b6578,
+  0x79396137, 0x79375cab, 0x793557d4, 0x793352b2, 0x79314d46, 0x792f478f,
+    0x792d418d, 0x792b3b40,
+  0x792934a9, 0x79272dc7, 0x7925269a, 0x79231f22, 0x79211760, 0x791f0f53,
+    0x791d06fb, 0x791afe59,
+  0x7918f56c, 0x7916ec34, 0x7914e2b2, 0x7912d8e4, 0x7910cecc, 0x790ec46a,
+    0x790cb9bd, 0x790aaec5,
+  0x7908a382, 0x790697f5, 0x79048c1d, 0x79027ffa, 0x7900738d, 0x78fe66d5,
+    0x78fc59d3, 0x78fa4c86,
+  0x78f83eee, 0x78f6310c, 0x78f422df, 0x78f21467, 0x78f005a5, 0x78edf698,
+    0x78ebe741, 0x78e9d79f,
+  0x78e7c7b2, 0x78e5b77b, 0x78e3a6f9, 0x78e1962d, 0x78df8516, 0x78dd73b5,
+    0x78db6209, 0x78d95012,
+  0x78d73dd1, 0x78d52b46, 0x78d31870, 0x78d1054f, 0x78cef1e4, 0x78ccde2e,
+    0x78caca2e, 0x78c8b5e3,
+  0x78c6a14e, 0x78c48c6e, 0x78c27744, 0x78c061cf, 0x78be4c10, 0x78bc3606,
+    0x78ba1fb2, 0x78b80913,
+  0x78b5f22a, 0x78b3daf7, 0x78b1c379, 0x78afabb0, 0x78ad939d, 0x78ab7b40,
+    0x78a96298, 0x78a749a6,
+  0x78a53069, 0x78a316e2, 0x78a0fd11, 0x789ee2f5, 0x789cc88f, 0x789aadde,
+    0x789892e3, 0x7896779d,
+  0x78945c0d, 0x78924033, 0x7890240e, 0x788e07a0, 0x788beae6, 0x7889cde2,
+    0x7887b094, 0x788592fc,
+  0x78837519, 0x788156ec, 0x787f3875, 0x787d19b3, 0x787afaa7, 0x7878db50,
+    0x7876bbb0, 0x78749bc5,
+  0x78727b8f, 0x78705b10, 0x786e3a46, 0x786c1932, 0x7869f7d3, 0x7867d62a,
+    0x7865b437, 0x786391fa,
+  0x78616f72, 0x785f4ca1, 0x785d2984, 0x785b061e, 0x7858e26e, 0x7856be73,
+    0x78549a2e, 0x7852759e,
+  0x785050c5, 0x784e2ba1, 0x784c0633, 0x7849e07b, 0x7847ba79, 0x7845942c,
+    0x78436d96, 0x784146b5,
+  0x783f1f8a, 0x783cf815, 0x783ad055, 0x7838a84c, 0x78367ff8, 0x7834575a,
+    0x78322e72, 0x78300540,
+  0x782ddbc4, 0x782bb1fd, 0x782987ed, 0x78275d92, 0x782532ed, 0x782307fe,
+    0x7820dcc5, 0x781eb142,
+  0x781c8575, 0x781a595d, 0x78182cfc, 0x78160051, 0x7813d35b, 0x7811a61b,
+    0x780f7892, 0x780d4abe,
+  0x780b1ca0, 0x7808ee38, 0x7806bf86, 0x7804908a, 0x78026145, 0x780031b5,
+    0x77fe01db, 0x77fbd1b6,
+  0x77f9a148, 0x77f77090, 0x77f53f8e, 0x77f30e42, 0x77f0dcac, 0x77eeaacc,
+    0x77ec78a2, 0x77ea462e,
+  0x77e81370, 0x77e5e068, 0x77e3ad17, 0x77e1797b, 0x77df4595, 0x77dd1165,
+    0x77dadcec, 0x77d8a828,
+  0x77d6731a, 0x77d43dc3, 0x77d20822, 0x77cfd236, 0x77cd9c01, 0x77cb6582,
+    0x77c92eb9, 0x77c6f7a6,
+  0x77c4c04a, 0x77c288a3, 0x77c050b2, 0x77be1878, 0x77bbdff4, 0x77b9a726,
+    0x77b76e0e, 0x77b534ac,
+  0x77b2fb00, 0x77b0c10b, 0x77ae86cc, 0x77ac4c43, 0x77aa1170, 0x77a7d653,
+    0x77a59aec, 0x77a35f3c,
+  0x77a12342, 0x779ee6fe, 0x779caa70, 0x779a6d99, 0x77983077, 0x7795f30c,
+    0x7793b557, 0x77917759,
+  0x778f3910, 0x778cfa7e, 0x778abba2, 0x77887c7d, 0x77863d0d, 0x7783fd54,
+    0x7781bd52, 0x777f7d05,
+  0x777d3c6f, 0x777afb8f, 0x7778ba65, 0x777678f2, 0x77743735, 0x7771f52e,
+    0x776fb2de, 0x776d7044,
+  0x776b2d60, 0x7768ea33, 0x7766a6bc, 0x776462fb, 0x77621ef1, 0x775fda9d,
+    0x775d95ff, 0x775b5118,
+  0x77590be7, 0x7756c66c, 0x775480a8, 0x77523a9b, 0x774ff443, 0x774dada2,
+    0x774b66b8, 0x77491f84,
+  0x7746d806, 0x7744903f, 0x7742482e, 0x773fffd4, 0x773db730, 0x773b6e42,
+    0x7739250b, 0x7736db8b,
+  0x773491c0, 0x773247ad, 0x772ffd50, 0x772db2a9, 0x772b67b9, 0x77291c7f,
+    0x7726d0fc, 0x7724852f,
+  0x77223919, 0x771fecb9, 0x771da010, 0x771b531d, 0x771905e1, 0x7716b85b,
+    0x77146a8c, 0x77121c74,
+  0x770fce12, 0x770d7f66, 0x770b3072, 0x7708e133, 0x770691ab, 0x770441da,
+    0x7701f1c0, 0x76ffa15c,
+  0x76fd50ae, 0x76faffb8, 0x76f8ae78, 0x76f65cee, 0x76f40b1b, 0x76f1b8ff,
+    0x76ef6699, 0x76ed13ea,
+  0x76eac0f2, 0x76e86db0, 0x76e61a25, 0x76e3c650, 0x76e17233, 0x76df1dcb,
+    0x76dcc91b, 0x76da7421,
+  0x76d81ede, 0x76d5c952, 0x76d3737c, 0x76d11d5d, 0x76cec6f5, 0x76cc7043,
+    0x76ca1948, 0x76c7c204,
+  0x76c56a77, 0x76c312a0, 0x76c0ba80, 0x76be6217, 0x76bc0965, 0x76b9b069,
+    0x76b75724, 0x76b4fd96,
+  0x76b2a3bf, 0x76b0499e, 0x76adef34, 0x76ab9481, 0x76a93985, 0x76a6de40,
+    0x76a482b1, 0x76a226da,
+  0x769fcab9, 0x769d6e4f, 0x769b119b, 0x7698b49f, 0x76965759, 0x7693f9ca,
+    0x76919bf3, 0x768f3dd2,
+  0x768cdf67, 0x768a80b4, 0x768821b8, 0x7685c272, 0x768362e4, 0x7681030c,
+    0x767ea2eb, 0x767c4281,
+  0x7679e1ce, 0x767780d2, 0x76751f8d, 0x7672bdfe, 0x76705c27, 0x766dfa07,
+    0x766b979d, 0x766934eb,
+  0x7666d1ef, 0x76646eab, 0x76620b1d, 0x765fa747, 0x765d4327, 0x765adebe,
+    0x76587a0d, 0x76561512,
+  0x7653afce, 0x76514a42, 0x764ee46c, 0x764c7e4d, 0x764a17e6, 0x7647b135,
+    0x76454a3c, 0x7642e2f9,
+  0x76407b6e, 0x763e139a, 0x763bab7c, 0x76394316, 0x7636da67, 0x7634716f,
+    0x7632082e, 0x762f9ea4,
+  0x762d34d1, 0x762acab6, 0x76286051, 0x7625f5a3, 0x76238aad, 0x76211f6e,
+    0x761eb3e6, 0x761c4815,
+  0x7619dbfb, 0x76176f98, 0x761502ed, 0x761295f9, 0x761028bb, 0x760dbb35,
+    0x760b4d67, 0x7608df4f,
+  0x760670ee, 0x76040245, 0x76019353, 0x75ff2418, 0x75fcb495, 0x75fa44c8,
+    0x75f7d4b3, 0x75f56455,
+  0x75f2f3ae, 0x75f082bf, 0x75ee1187, 0x75eba006, 0x75e92e3c, 0x75e6bc2a,
+    0x75e449ce, 0x75e1d72b,
+  0x75df643e, 0x75dcf109, 0x75da7d8b, 0x75d809c4, 0x75d595b4, 0x75d3215c,
+    0x75d0acbc, 0x75ce37d2,
+  0x75cbc2a0, 0x75c94d25, 0x75c6d762, 0x75c46156, 0x75c1eb01, 0x75bf7464,
+    0x75bcfd7e, 0x75ba864f,
+  0x75b80ed8, 0x75b59718, 0x75b31f0f, 0x75b0a6be, 0x75ae2e25, 0x75abb542,
+    0x75a93c18, 0x75a6c2a4,
+  0x75a448e8, 0x75a1cee4, 0x759f5496, 0x759cda01, 0x759a5f22, 0x7597e3fc,
+    0x7595688c, 0x7592ecd4,
+  0x759070d4, 0x758df48b, 0x758b77fa, 0x7588fb20, 0x75867dfd, 0x75840093,
+    0x758182df, 0x757f04e3,
+  0x757c869f, 0x757a0812, 0x7577893d, 0x75750a1f, 0x75728ab9, 0x75700b0a,
+    0x756d8b13, 0x756b0ad3,
+  0x75688a4b, 0x7566097b, 0x75638862, 0x75610701, 0x755e8557, 0x755c0365,
+    0x7559812b, 0x7556fea8,
+  0x75547bdd, 0x7551f8c9, 0x754f756e, 0x754cf1c9, 0x754a6ddd, 0x7547e9a8,
+    0x7545652a, 0x7542e065,
+  0x75405b57, 0x753dd600, 0x753b5061, 0x7538ca7b, 0x7536444b, 0x7533bdd4,
+    0x75313714, 0x752eb00c,
+  0x752c28bb, 0x7529a122, 0x75271941, 0x75249118, 0x752208a7, 0x751f7fed,
+    0x751cf6eb, 0x751a6da0,
+  0x7517e40e, 0x75155a33, 0x7512d010, 0x751045a5, 0x750dbaf2, 0x750b2ff6,
+    0x7508a4b2, 0x75061926,
+  0x75038d52, 0x75010136, 0x74fe74d1, 0x74fbe825, 0x74f95b30, 0x74f6cdf3,
+    0x74f4406d, 0x74f1b2a0,
+  0x74ef248b, 0x74ec962d, 0x74ea0787, 0x74e7789a, 0x74e4e964, 0x74e259e6,
+    0x74dfca20, 0x74dd3a11,
+  0x74daa9bb, 0x74d8191d, 0x74d58836, 0x74d2f708, 0x74d06591, 0x74cdd3d2,
+    0x74cb41cc, 0x74c8af7d,
+  0x74c61ce6, 0x74c38a07, 0x74c0f6e0, 0x74be6372, 0x74bbcfbb, 0x74b93bbc,
+    0x74b6a775, 0x74b412e6,
+  0x74b17e0f, 0x74aee8f0, 0x74ac5389, 0x74a9bddb, 0x74a727e4, 0x74a491a5,
+    0x74a1fb1e, 0x749f6450,
+  0x749ccd39, 0x749a35db, 0x74979e34, 0x74950646, 0x74926e10, 0x748fd592,
+    0x748d3ccb, 0x748aa3be,
+  0x74880a68, 0x748570ca, 0x7482d6e4, 0x74803cb7, 0x747da242, 0x747b0784,
+    0x74786c7f, 0x7475d132,
+  0x7473359e, 0x747099c1, 0x746dfd9d, 0x746b6131, 0x7468c47c, 0x74662781,
+    0x74638a3d, 0x7460ecb2,
+  0x745e4ede, 0x745bb0c3, 0x74591261, 0x745673b6, 0x7453d4c4, 0x7451358a,
+    0x744e9608, 0x744bf63e,
+  0x7449562d, 0x7446b5d4, 0x74441533, 0x7441744b, 0x743ed31b, 0x743c31a3,
+    0x74398fe3, 0x7436eddc,
+  0x74344b8d, 0x7431a8f6, 0x742f0618, 0x742c62f2, 0x7429bf84, 0x74271bcf,
+    0x742477d2, 0x7421d38e,
+  0x741f2f01, 0x741c8a2d, 0x7419e512, 0x74173faf, 0x74149a04, 0x7411f412,
+    0x740f4dd8, 0x740ca756,
+  0x740a008d, 0x7407597d, 0x7404b224, 0x74020a85, 0x73ff629d, 0x73fcba6e,
+    0x73fa11f8, 0x73f7693a,
+  0x73f4c034, 0x73f216e7, 0x73ef6d53, 0x73ecc377, 0x73ea1953, 0x73e76ee8,
+    0x73e4c435, 0x73e2193b,
+  0x73df6df9, 0x73dcc270, 0x73da16a0, 0x73d76a88, 0x73d4be28, 0x73d21182,
+    0x73cf6493, 0x73ccb75d,
+  0x73ca09e0, 0x73c75c1c, 0x73c4ae10, 0x73c1ffbc, 0x73bf5121, 0x73bca23f,
+    0x73b9f315, 0x73b743a4,
+  0x73b493ec, 0x73b1e3ec, 0x73af33a5, 0x73ac8316, 0x73a9d240, 0x73a72123,
+    0x73a46fbf, 0x73a1be13,
+  0x739f0c20, 0x739c59e5, 0x7399a763, 0x7396f49a, 0x73944189, 0x73918e32,
+    0x738eda93, 0x738c26ac,
+  0x7389727f, 0x7386be0a, 0x7384094e, 0x7381544a, 0x737e9f00, 0x737be96e,
+    0x73793395, 0x73767d74,
+  0x7373c70d, 0x7371105e, 0x736e5968, 0x736ba22b, 0x7368eaa6, 0x736632db,
+    0x73637ac8, 0x7360c26e,
+  0x735e09cd, 0x735b50e4, 0x735897b5, 0x7355de3e, 0x73532481, 0x73506a7c,
+    0x734db030, 0x734af59d,
+  0x73483ac2, 0x73457fa1, 0x7342c438, 0x73400889, 0x733d4c92, 0x733a9054,
+    0x7337d3d0, 0x73351704,
+  0x733259f1, 0x732f9c97, 0x732cdef6, 0x732a210d, 0x732762de, 0x7324a468,
+    0x7321e5ab, 0x731f26a7,
+  0x731c675b, 0x7319a7c9, 0x7316e7f0, 0x731427cf, 0x73116768, 0x730ea6ba,
+    0x730be5c5, 0x73092489,
+  0x73066306, 0x7303a13b, 0x7300df2a, 0x72fe1cd2, 0x72fb5a34, 0x72f8974e,
+    0x72f5d421, 0x72f310ad,
+  0x72f04cf3, 0x72ed88f1, 0x72eac4a9, 0x72e8001a, 0x72e53b44, 0x72e27627,
+    0x72dfb0c3, 0x72dceb18,
+  0x72da2526, 0x72d75eee, 0x72d4986f, 0x72d1d1a9, 0x72cf0a9c, 0x72cc4348,
+    0x72c97bad, 0x72c6b3cc,
+  0x72c3eba4, 0x72c12335, 0x72be5a7f, 0x72bb9183, 0x72b8c83f, 0x72b5feb5,
+    0x72b334e4, 0x72b06acd,
+  0x72ada06f, 0x72aad5c9, 0x72a80ade, 0x72a53fab, 0x72a27432, 0x729fa872,
+    0x729cdc6b, 0x729a101e,
+  0x7297438a, 0x729476af, 0x7291a98e, 0x728edc26, 0x728c0e77, 0x72894082,
+    0x72867245, 0x7283a3c3,
+  0x7280d4f9, 0x727e05e9, 0x727b3693, 0x727866f6, 0x72759712, 0x7272c6e7,
+    0x726ff676, 0x726d25bf,
+  0x726a54c1, 0x7267837c, 0x7264b1f0, 0x7261e01e, 0x725f0e06, 0x725c3ba7,
+    0x72596901, 0x72569615,
+  0x7253c2e3, 0x7250ef6a, 0x724e1baa, 0x724b47a4, 0x72487357, 0x72459ec4,
+    0x7242c9ea, 0x723ff4ca,
+  0x723d1f63, 0x723a49b6, 0x723773c3, 0x72349d89, 0x7231c708, 0x722ef041,
+    0x722c1934, 0x722941e0,
+  0x72266a46, 0x72239266, 0x7220ba3f, 0x721de1d1, 0x721b091d, 0x72183023,
+    0x721556e3, 0x72127d5c,
+  0x720fa38e, 0x720cc97b, 0x7209ef21, 0x72071480, 0x7204399a, 0x72015e6d,
+    0x71fe82f9, 0x71fba740,
+  0x71f8cb40, 0x71f5eefa, 0x71f3126d, 0x71f0359a, 0x71ed5881, 0x71ea7b22,
+    0x71e79d7c, 0x71e4bf90,
+  0x71e1e15e, 0x71df02e5, 0x71dc2427, 0x71d94522, 0x71d665d6, 0x71d38645,
+    0x71d0a66d, 0x71cdc650,
+  0x71cae5ec, 0x71c80542, 0x71c52451, 0x71c2431b, 0x71bf619e, 0x71bc7fdb,
+    0x71b99dd2, 0x71b6bb83,
+  0x71b3d8ed, 0x71b0f612, 0x71ae12f0, 0x71ab2f89, 0x71a84bdb, 0x71a567e7,
+    0x71a283ad, 0x719f9f2c,
+  0x719cba66, 0x7199d55a, 0x7196f008, 0x71940a6f, 0x71912490, 0x718e3e6c,
+    0x718b5801, 0x71887151,
+  0x71858a5a, 0x7182a31d, 0x717fbb9a, 0x717cd3d2, 0x7179ebc3, 0x7177036e,
+    0x71741ad3, 0x717131f3,
+  0x716e48cc, 0x716b5f5f, 0x716875ad, 0x71658bb4, 0x7162a175, 0x715fb6f1,
+    0x715ccc26, 0x7159e116,
+  0x7156f5c0, 0x71540a24, 0x71511e42, 0x714e321a, 0x714b45ac, 0x714858f8,
+    0x71456bfe, 0x71427ebf,
+  0x713f9139, 0x713ca36e, 0x7139b55d, 0x7136c706, 0x7133d869, 0x7130e987,
+    0x712dfa5e, 0x712b0af0,
+  0x71281b3c, 0x71252b42, 0x71223b02, 0x711f4a7d, 0x711c59b2, 0x711968a1,
+    0x7116774a, 0x711385ad,
+  0x711093cb, 0x710da1a3, 0x710aaf35, 0x7107bc82, 0x7104c989, 0x7101d64a,
+    0x70fee2c5, 0x70fbeefb,
+  0x70f8faeb, 0x70f60695, 0x70f311fa, 0x70f01d19, 0x70ed27f2, 0x70ea3286,
+    0x70e73cd4, 0x70e446dc,
+  0x70e1509f, 0x70de5a1c, 0x70db6353, 0x70d86c45, 0x70d574f1, 0x70d27d58,
+    0x70cf8579, 0x70cc8d54,
+  0x70c994ea, 0x70c69c3a, 0x70c3a345, 0x70c0aa0a, 0x70bdb08a, 0x70bab6c4,
+    0x70b7bcb8, 0x70b4c267,
+  0x70b1c7d1, 0x70aeccf5, 0x70abd1d3, 0x70a8d66c, 0x70a5dac0, 0x70a2dece,
+    0x709fe296, 0x709ce619,
+  0x7099e957, 0x7096ec4f, 0x7093ef01, 0x7090f16e, 0x708df396, 0x708af579,
+    0x7087f715, 0x7084f86d,
+  0x7081f97f, 0x707efa4c, 0x707bfad3, 0x7078fb15, 0x7075fb11, 0x7072fac9,
+    0x706ffa3a, 0x706cf967,
+  0x7069f84e, 0x7066f6f0, 0x7063f54c, 0x7060f363, 0x705df135, 0x705aeec1,
+    0x7057ec08, 0x7054e90a,
+  0x7051e5c7, 0x704ee23e, 0x704bde70, 0x7048da5d, 0x7045d604, 0x7042d166,
+    0x703fcc83, 0x703cc75b,
+  0x7039c1ed, 0x7036bc3b, 0x7033b643, 0x7030b005, 0x702da983, 0x702aa2bb,
+    0x70279baf, 0x7024945d,
+  0x70218cc6, 0x701e84e9, 0x701b7cc8, 0x70187461, 0x70156bb5, 0x701262c4,
+    0x700f598e, 0x700c5013,
+  0x70094653, 0x70063c4e, 0x70033203, 0x70002774, 0x6ffd1c9f, 0x6ffa1185,
+    0x6ff70626, 0x6ff3fa82,
+  0x6ff0ee99, 0x6fede26b, 0x6fead5f8, 0x6fe7c940, 0x6fe4bc43, 0x6fe1af01,
+    0x6fdea17a, 0x6fdb93ae,
+  0x6fd8859d, 0x6fd57746, 0x6fd268ab, 0x6fcf59cb, 0x6fcc4aa6, 0x6fc93b3c,
+    0x6fc62b8d, 0x6fc31b99,
+  0x6fc00b60, 0x6fbcfae2, 0x6fb9ea20, 0x6fb6d918, 0x6fb3c7cb, 0x6fb0b63a,
+    0x6fada464, 0x6faa9248,
+  0x6fa77fe8, 0x6fa46d43, 0x6fa15a59, 0x6f9e472b, 0x6f9b33b7, 0x6f981fff,
+    0x6f950c01, 0x6f91f7bf,
+  0x6f8ee338, 0x6f8bce6c, 0x6f88b95c, 0x6f85a407, 0x6f828e6c, 0x6f7f788d,
+    0x6f7c626a, 0x6f794c01,
+  0x6f763554, 0x6f731e62, 0x6f70072b, 0x6f6cefb0, 0x6f69d7f0, 0x6f66bfeb,
+    0x6f63a7a1, 0x6f608f13,
+  0x6f5d7640, 0x6f5a5d28, 0x6f5743cb, 0x6f542a2a, 0x6f511044, 0x6f4df61a,
+    0x6f4adbab, 0x6f47c0f7,
+  0x6f44a5ff, 0x6f418ac2, 0x6f3e6f40, 0x6f3b537a, 0x6f38376f, 0x6f351b1f,
+    0x6f31fe8b, 0x6f2ee1b2,
+  0x6f2bc495, 0x6f28a733, 0x6f25898d, 0x6f226ba2, 0x6f1f4d72, 0x6f1c2efe,
+    0x6f191045, 0x6f15f148,
+  0x6f12d206, 0x6f0fb280, 0x6f0c92b6, 0x6f0972a6, 0x6f065253, 0x6f0331ba,
+    0x6f0010de, 0x6efcefbd,
+  0x6ef9ce57, 0x6ef6acad, 0x6ef38abe, 0x6ef0688b, 0x6eed4614, 0x6eea2358,
+    0x6ee70058, 0x6ee3dd13,
+  0x6ee0b98a, 0x6edd95bd, 0x6eda71ab, 0x6ed74d55, 0x6ed428ba, 0x6ed103db,
+    0x6ecddeb8, 0x6ecab950,
+  0x6ec793a4, 0x6ec46db4, 0x6ec1477f, 0x6ebe2106, 0x6ebafa49, 0x6eb7d347,
+    0x6eb4ac02, 0x6eb18477,
+  0x6eae5ca9, 0x6eab3496, 0x6ea80c3f, 0x6ea4e3a4, 0x6ea1bac4, 0x6e9e91a1,
+    0x6e9b6839, 0x6e983e8d,
+  0x6e95149c, 0x6e91ea67, 0x6e8ebfef, 0x6e8b9532, 0x6e886a30, 0x6e853eeb,
+    0x6e821361, 0x6e7ee794,
+  0x6e7bbb82, 0x6e788f2c, 0x6e756291, 0x6e7235b3, 0x6e6f0890, 0x6e6bdb2a,
+    0x6e68ad7f, 0x6e657f90,
+  0x6e62515d, 0x6e5f22e6, 0x6e5bf42b, 0x6e58c52c, 0x6e5595e9, 0x6e526662,
+    0x6e4f3696, 0x6e4c0687,
+  0x6e48d633, 0x6e45a59c, 0x6e4274c1, 0x6e3f43a1, 0x6e3c123e, 0x6e38e096,
+    0x6e35aeab, 0x6e327c7b,
+  0x6e2f4a08, 0x6e2c1750, 0x6e28e455, 0x6e25b115, 0x6e227d92, 0x6e1f49cb,
+    0x6e1c15c0, 0x6e18e171,
+  0x6e15acde, 0x6e127807, 0x6e0f42ec, 0x6e0c0d8e, 0x6e08d7eb, 0x6e05a205,
+    0x6e026bda, 0x6dff356c,
+  0x6dfbfeba, 0x6df8c7c4, 0x6df5908b, 0x6df2590d, 0x6def214c, 0x6debe947,
+    0x6de8b0fe, 0x6de57871,
+  0x6de23fa0, 0x6ddf068c, 0x6ddbcd34, 0x6dd89398, 0x6dd559b9, 0x6dd21f95,
+    0x6dcee52e, 0x6dcbaa83,
+  0x6dc86f95, 0x6dc53462, 0x6dc1f8ec, 0x6dbebd33, 0x6dbb8135, 0x6db844f4,
+    0x6db5086f, 0x6db1cba7,
+  0x6dae8e9b, 0x6dab514b, 0x6da813b8, 0x6da4d5e1, 0x6da197c6, 0x6d9e5968,
+    0x6d9b1ac6, 0x6d97dbe0,
+  0x6d949cb7, 0x6d915d4a, 0x6d8e1d9a, 0x6d8adda6, 0x6d879d6e, 0x6d845cf3,
+    0x6d811c35, 0x6d7ddb33,
+  0x6d7a99ed, 0x6d775864, 0x6d741697, 0x6d70d487, 0x6d6d9233, 0x6d6a4f9c,
+    0x6d670cc1, 0x6d63c9a3,
+  0x6d608641, 0x6d5d429c, 0x6d59feb3, 0x6d56ba87, 0x6d537617, 0x6d503164,
+    0x6d4cec6e, 0x6d49a734,
+  0x6d4661b7, 0x6d431bf6, 0x6d3fd5f2, 0x6d3c8fab, 0x6d394920, 0x6d360252,
+    0x6d32bb40, 0x6d2f73eb,
+  0x6d2c2c53, 0x6d28e477, 0x6d259c58, 0x6d2253f6, 0x6d1f0b50, 0x6d1bc267,
+    0x6d18793b, 0x6d152fcc,
+  0x6d11e619, 0x6d0e9c23, 0x6d0b51e9, 0x6d08076d, 0x6d04bcad, 0x6d0171aa,
+    0x6cfe2663, 0x6cfadada,
+  0x6cf78f0d, 0x6cf442fd, 0x6cf0f6aa, 0x6cedaa13, 0x6cea5d3a, 0x6ce7101d,
+    0x6ce3c2bd, 0x6ce0751a,
+  0x6cdd2733, 0x6cd9d90a, 0x6cd68a9d, 0x6cd33bed, 0x6ccfecfa, 0x6ccc9dc4,
+    0x6cc94e4b, 0x6cc5fe8f,
+  0x6cc2ae90, 0x6cbf5e4d, 0x6cbc0dc8, 0x6cb8bcff, 0x6cb56bf4, 0x6cb21aa5,
+    0x6caec913, 0x6cab773e,
+  0x6ca82527, 0x6ca4d2cc, 0x6ca1802e, 0x6c9e2d4d, 0x6c9ada29, 0x6c9786c2,
+    0x6c943318, 0x6c90df2c,
+  0x6c8d8afc, 0x6c8a3689, 0x6c86e1d3, 0x6c838cdb, 0x6c80379f, 0x6c7ce220,
+    0x6c798c5f, 0x6c76365b,
+  0x6c72e013, 0x6c6f8989, 0x6c6c32bc, 0x6c68dbac, 0x6c658459, 0x6c622cc4,
+    0x6c5ed4eb, 0x6c5b7cd0,
+  0x6c582472, 0x6c54cbd1, 0x6c5172ed, 0x6c4e19c6, 0x6c4ac05d, 0x6c4766b0,
+    0x6c440cc1, 0x6c40b28f,
+  0x6c3d581b, 0x6c39fd63, 0x6c36a269, 0x6c33472c, 0x6c2febad, 0x6c2c8fea,
+    0x6c2933e5, 0x6c25d79d,
+  0x6c227b13, 0x6c1f1e45, 0x6c1bc136, 0x6c1863e3, 0x6c15064e, 0x6c11a876,
+    0x6c0e4a5b, 0x6c0aebfe,
+  0x6c078d5e, 0x6c042e7b, 0x6c00cf56, 0x6bfd6fee, 0x6bfa1044, 0x6bf6b056,
+    0x6bf35027, 0x6befefb5,
+  0x6bec8f00, 0x6be92e08, 0x6be5ccce, 0x6be26b52, 0x6bdf0993, 0x6bdba791,
+    0x6bd8454d, 0x6bd4e2c6,
+  0x6bd17ffd, 0x6bce1cf1, 0x6bcab9a3, 0x6bc75613, 0x6bc3f23f, 0x6bc08e2a,
+    0x6bbd29d2, 0x6bb9c537,
+  0x6bb6605a, 0x6bb2fb3b, 0x6baf95d9, 0x6bac3034, 0x6ba8ca4e, 0x6ba56425,
+    0x6ba1fdb9, 0x6b9e970b,
+  0x6b9b301b, 0x6b97c8e8, 0x6b946173, 0x6b90f9bc, 0x6b8d91c2, 0x6b8a2986,
+    0x6b86c107, 0x6b835846,
+  0x6b7fef43, 0x6b7c85fe, 0x6b791c76, 0x6b75b2ac, 0x6b7248a0, 0x6b6ede51,
+    0x6b6b73c0, 0x6b6808ed,
+  0x6b649dd8, 0x6b613280, 0x6b5dc6e6, 0x6b5a5b0a, 0x6b56eeec, 0x6b53828b,
+    0x6b5015e9, 0x6b4ca904,
+  0x6b493bdd, 0x6b45ce73, 0x6b4260c8, 0x6b3ef2da, 0x6b3b84ab, 0x6b381639,
+    0x6b34a785, 0x6b31388e,
+  0x6b2dc956, 0x6b2a59dc, 0x6b26ea1f, 0x6b237a21, 0x6b2009e0, 0x6b1c995d,
+    0x6b192898, 0x6b15b791,
+  0x6b124648, 0x6b0ed4bd, 0x6b0b62f0, 0x6b07f0e1, 0x6b047e90, 0x6b010bfd,
+    0x6afd9928, 0x6afa2610,
+  0x6af6b2b7, 0x6af33f1c, 0x6aefcb3f, 0x6aec5720, 0x6ae8e2bf, 0x6ae56e1c,
+    0x6ae1f937, 0x6ade8410,
+  0x6adb0ea8, 0x6ad798fd, 0x6ad42311, 0x6ad0ace2, 0x6acd3672, 0x6ac9bfc0,
+    0x6ac648cb, 0x6ac2d195,
+  0x6abf5a1e, 0x6abbe264, 0x6ab86a68, 0x6ab4f22b, 0x6ab179ac, 0x6aae00eb,
+    0x6aaa87e8, 0x6aa70ea4,
+  0x6aa3951d, 0x6aa01b55, 0x6a9ca14b, 0x6a992700, 0x6a95ac72, 0x6a9231a3,
+    0x6a8eb692, 0x6a8b3b3f,
+  0x6a87bfab, 0x6a8443d5, 0x6a80c7bd, 0x6a7d4b64, 0x6a79cec8, 0x6a7651ec,
+    0x6a72d4cd, 0x6a6f576d,
+  0x6a6bd9cb, 0x6a685be8, 0x6a64ddc2, 0x6a615f5c, 0x6a5de0b3, 0x6a5a61c9,
+    0x6a56e29e, 0x6a536331,
+  0x6a4fe382, 0x6a4c6391, 0x6a48e360, 0x6a4562ec, 0x6a41e237, 0x6a3e6140,
+    0x6a3ae008, 0x6a375e8f,
+  0x6a33dcd4, 0x6a305ad7, 0x6a2cd899, 0x6a295619, 0x6a25d358, 0x6a225055,
+    0x6a1ecd11, 0x6a1b498c,
+  0x6a17c5c5, 0x6a1441bc, 0x6a10bd72, 0x6a0d38e7, 0x6a09b41a, 0x6a062f0c,
+    0x6a02a9bc, 0x69ff242b,
+  0x69fb9e59, 0x69f81845, 0x69f491f0, 0x69f10b5a, 0x69ed8482, 0x69e9fd69,
+    0x69e6760f, 0x69e2ee73,
+  0x69df6696, 0x69dbde77, 0x69d85618, 0x69d4cd77, 0x69d14494, 0x69cdbb71,
+    0x69ca320c, 0x69c6a866,
+  0x69c31e7f, 0x69bf9456, 0x69bc09ec, 0x69b87f41, 0x69b4f455, 0x69b16928,
+    0x69adddb9, 0x69aa5209,
+  0x69a6c618, 0x69a339e6, 0x699fad73, 0x699c20be, 0x699893c9, 0x69950692,
+    0x6991791a, 0x698deb61,
+  0x698a5d67, 0x6986cf2c, 0x698340af, 0x697fb1f2, 0x697c22f3, 0x697893b4,
+    0x69750433, 0x69717472,
+  0x696de46f, 0x696a542b, 0x6966c3a6, 0x696332e1, 0x695fa1da, 0x695c1092,
+    0x69587f09, 0x6954ed40,
+  0x69515b35, 0x694dc8e9, 0x694a365c, 0x6946a38f, 0x69431080, 0x693f7d31,
+    0x693be9a0, 0x693855cf,
+  0x6934c1bd, 0x69312d6a, 0x692d98d6, 0x692a0401, 0x69266eeb, 0x6922d995,
+    0x691f43fd, 0x691bae25,
+  0x6918180c, 0x691481b2, 0x6910eb17, 0x690d543b, 0x6909bd1f, 0x690625c2,
+    0x69028e24, 0x68fef645,
+  0x68fb5e25, 0x68f7c5c5, 0x68f42d24, 0x68f09442, 0x68ecfb20, 0x68e961bd,
+    0x68e5c819, 0x68e22e34,
+  0x68de940f, 0x68daf9a9, 0x68d75f02, 0x68d3c41b, 0x68d028f2, 0x68cc8d8a,
+    0x68c8f1e0, 0x68c555f6,
+  0x68c1b9cc, 0x68be1d61, 0x68ba80b5, 0x68b6e3c8, 0x68b3469b, 0x68afa92e,
+    0x68ac0b7f, 0x68a86d91,
+  0x68a4cf61, 0x68a130f1, 0x689d9241, 0x6899f350, 0x6896541f, 0x6892b4ad,
+    0x688f14fa, 0x688b7507,
+  0x6887d4d4, 0x68843460, 0x688093ab, 0x687cf2b6, 0x68795181, 0x6875b00b,
+    0x68720e55, 0x686e6c5e,
+  0x686aca27, 0x686727b0, 0x686384f8, 0x685fe200, 0x685c3ec7, 0x68589b4e,
+    0x6854f795, 0x6851539b,
+  0x684daf61, 0x684a0ae6, 0x6846662c, 0x6842c131, 0x683f1bf5, 0x683b7679,
+    0x6837d0bd, 0x68342ac1,
+  0x68308485, 0x682cde08, 0x6829374b, 0x6825904d, 0x6821e910, 0x681e4192,
+    0x681a99d4, 0x6816f1d6,
+  0x68134997, 0x680fa118, 0x680bf85a, 0x68084f5a, 0x6804a61b, 0x6800fc9c,
+    0x67fd52dc, 0x67f9a8dd,
+  0x67f5fe9d, 0x67f2541d, 0x67eea95d, 0x67eafe5d, 0x67e7531c, 0x67e3a79c,
+    0x67dffbdc, 0x67dc4fdb,
+  0x67d8a39a, 0x67d4f71a, 0x67d14a59, 0x67cd9d58, 0x67c9f017, 0x67c64297,
+    0x67c294d6, 0x67bee6d5,
+  0x67bb3894, 0x67b78a13, 0x67b3db53, 0x67b02c52, 0x67ac7d11, 0x67a8cd91,
+    0x67a51dd0, 0x67a16dcf,
+  0x679dbd8f, 0x679a0d0f, 0x67965c4e, 0x6792ab4e, 0x678efa0e, 0x678b488e,
+    0x678796ce, 0x6783e4cf,
+  0x6780328f, 0x677c8010, 0x6778cd50, 0x67751a51, 0x67716713, 0x676db394,
+    0x6769ffd5, 0x67664bd7,
+  0x67629799, 0x675ee31b, 0x675b2e5e, 0x67577960, 0x6753c423, 0x67500ea7,
+    0x674c58ea, 0x6748a2ee,
+  0x6744ecb2, 0x67413636, 0x673d7f7b, 0x6739c880, 0x67361145, 0x673259ca,
+    0x672ea210, 0x672aea17,
+  0x672731dd, 0x67237964, 0x671fc0ac, 0x671c07b4, 0x67184e7c, 0x67149504,
+    0x6710db4d, 0x670d2157,
+  0x67096721, 0x6705acab, 0x6701f1f6, 0x66fe3701, 0x66fa7bcd, 0x66f6c059,
+    0x66f304a6, 0x66ef48b3,
+  0x66eb8c80, 0x66e7d00f, 0x66e4135d, 0x66e0566c, 0x66dc993c, 0x66d8dbcd,
+    0x66d51e1d, 0x66d1602f,
+  0x66cda201, 0x66c9e393, 0x66c624e7, 0x66c265fa, 0x66bea6cf, 0x66bae764,
+    0x66b727ba, 0x66b367d0,
+  0x66afa7a7, 0x66abe73f, 0x66a82697, 0x66a465b0, 0x66a0a489, 0x669ce324,
+    0x6699217f, 0x66955f9b,
+  0x66919d77, 0x668ddb14, 0x668a1872, 0x66865591, 0x66829270, 0x667ecf11,
+    0x667b0b72, 0x66774793,
+  0x66738376, 0x666fbf19, 0x666bfa7d, 0x666835a2, 0x66647088, 0x6660ab2f,
+    0x665ce596, 0x66591fbf,
+  0x665559a8, 0x66519352, 0x664dccbd, 0x664a05e9, 0x66463ed6, 0x66427784,
+    0x663eaff2, 0x663ae822,
+  0x66372012, 0x663357c4, 0x662f8f36, 0x662bc66a, 0x6627fd5e, 0x66243413,
+    0x66206a8a, 0x661ca0c1,
+  0x6618d6b9, 0x66150c73, 0x661141ed, 0x660d7729, 0x6609ac25, 0x6605e0e3,
+    0x66021561, 0x65fe49a1,
+  0x65fa7da2, 0x65f6b164, 0x65f2e4e7, 0x65ef182b, 0x65eb4b30, 0x65e77df6,
+    0x65e3b07e, 0x65dfe2c6,
+  0x65dc14d0, 0x65d8469b, 0x65d47827, 0x65d0a975, 0x65ccda83, 0x65c90b53,
+    0x65c53be4, 0x65c16c36,
+  0x65bd9c49, 0x65b9cc1e, 0x65b5fbb4, 0x65b22b0b, 0x65ae5a23, 0x65aa88fd,
+    0x65a6b798, 0x65a2e5f4,
+  0x659f1412, 0x659b41f1, 0x65976f91, 0x65939cf3, 0x658fca15, 0x658bf6fa,
+    0x6588239f, 0x65845006,
+  0x65807c2f, 0x657ca818, 0x6578d3c4, 0x6574ff30, 0x65712a5e, 0x656d554d,
+    0x65697ffe, 0x6565aa71,
+  0x6561d4a4, 0x655dfe99, 0x655a2850, 0x655651c8, 0x65527b02, 0x654ea3fd,
+    0x654accba, 0x6546f538,
+  0x65431d77, 0x653f4579, 0x653b6d3b, 0x653794c0, 0x6533bc06, 0x652fe30d,
+    0x652c09d6, 0x65283061,
+  0x652456ad, 0x65207cbb, 0x651ca28a, 0x6518c81b, 0x6514ed6e, 0x65111283,
+    0x650d3759, 0x65095bf0,
+  0x6505804a, 0x6501a465, 0x64fdc841, 0x64f9ebe0, 0x64f60f40, 0x64f23262,
+    0x64ee5546, 0x64ea77eb,
+  0x64e69a52, 0x64e2bc7b, 0x64dede66, 0x64db0012, 0x64d72180, 0x64d342b0,
+    0x64cf63a2, 0x64cb8456,
+  0x64c7a4cb, 0x64c3c502, 0x64bfe4fc, 0x64bc04b6, 0x64b82433, 0x64b44372,
+    0x64b06273, 0x64ac8135,
+  0x64a89fba, 0x64a4be00, 0x64a0dc08, 0x649cf9d2, 0x6499175e, 0x649534ac,
+    0x649151bc, 0x648d6e8e,
+  0x64898b22, 0x6485a778, 0x6481c390, 0x647ddf6a, 0x6479fb06, 0x64761664,
+    0x64723184, 0x646e4c66,
+  0x646a670a, 0x64668170, 0x64629b98, 0x645eb582, 0x645acf2e, 0x6456e89d,
+    0x645301cd, 0x644f1ac0,
+  0x644b3375, 0x64474bec, 0x64436425, 0x643f7c20, 0x643b93dd, 0x6437ab5d,
+    0x6433c29f, 0x642fd9a3,
+  0x642bf069, 0x642806f1, 0x64241d3c, 0x64203348, 0x641c4917, 0x64185ea9,
+    0x641473fc, 0x64108912,
+  0x640c9dea, 0x6408b284, 0x6404c6e1, 0x6400db00, 0x63fceee1, 0x63f90285,
+    0x63f515eb, 0x63f12913,
+  0x63ed3bfd, 0x63e94eaa, 0x63e5611a, 0x63e1734b, 0x63dd853f, 0x63d996f6,
+    0x63d5a86f, 0x63d1b9aa,
+  0x63cdcaa8, 0x63c9db68, 0x63c5ebeb, 0x63c1fc30, 0x63be0c37, 0x63ba1c01,
+    0x63b62b8e, 0x63b23add,
+  0x63ae49ee, 0x63aa58c2, 0x63a66759, 0x63a275b2, 0x639e83cd, 0x639a91ac,
+    0x63969f4c, 0x6392acaf,
+  0x638eb9d5, 0x638ac6be, 0x6386d369, 0x6382dfd6, 0x637eec07, 0x637af7fa,
+    0x637703af, 0x63730f27,
+  0x636f1a62, 0x636b2560, 0x63673020, 0x63633aa3, 0x635f44e8, 0x635b4ef0,
+    0x635758bb, 0x63536249,
+  0x634f6b99, 0x634b74ad, 0x63477d82, 0x6343861b, 0x633f8e76, 0x633b9695,
+    0x63379e76, 0x6333a619,
+  0x632fad80, 0x632bb4a9, 0x6327bb96, 0x6323c245, 0x631fc8b7, 0x631bceeb,
+    0x6317d4e3, 0x6313da9e,
+  0x630fe01b, 0x630be55b, 0x6307ea5e, 0x6303ef25, 0x62fff3ae, 0x62fbf7fa,
+    0x62f7fc08, 0x62f3ffda,
+  0x62f0036f, 0x62ec06c7, 0x62e809e2, 0x62e40cbf, 0x62e00f60, 0x62dc11c4,
+    0x62d813eb, 0x62d415d4,
+  0x62d01781, 0x62cc18f1, 0x62c81a24, 0x62c41b1a, 0x62c01bd3, 0x62bc1c4f,
+    0x62b81c8f, 0x62b41c91,
+  0x62b01c57, 0x62ac1bdf, 0x62a81b2b, 0x62a41a3a, 0x62a0190c, 0x629c17a1,
+    0x629815fa, 0x62941415,
+  0x629011f4, 0x628c0f96, 0x62880cfb, 0x62840a23, 0x6280070f, 0x627c03be,
+    0x62780030, 0x6273fc65,
+  0x626ff85e, 0x626bf41a, 0x6267ef99, 0x6263eadc, 0x625fe5e1, 0x625be0ab,
+    0x6257db37, 0x6253d587,
+  0x624fcf9a, 0x624bc970, 0x6247c30a, 0x6243bc68, 0x623fb588, 0x623bae6c,
+    0x6237a714, 0x62339f7e,
+  0x622f97ad, 0x622b8f9e, 0x62278754, 0x62237ecc, 0x621f7608, 0x621b6d08,
+    0x621763cb, 0x62135a51,
+  0x620f509b, 0x620b46a9, 0x62073c7a, 0x6203320e, 0x61ff2766, 0x61fb1c82,
+    0x61f71161, 0x61f30604,
+  0x61eefa6b, 0x61eaee95, 0x61e6e282, 0x61e2d633, 0x61dec9a8, 0x61dabce0,
+    0x61d6afdd, 0x61d2a29c,
+  0x61ce9520, 0x61ca8767, 0x61c67971, 0x61c26b40, 0x61be5cd2, 0x61ba4e28,
+    0x61b63f41, 0x61b2301e,
+  0x61ae20bf, 0x61aa1124, 0x61a6014d, 0x61a1f139, 0x619de0e9, 0x6199d05d,
+    0x6195bf94, 0x6191ae90,
+  0x618d9d4f, 0x61898bd2, 0x61857a19, 0x61816824, 0x617d55f2, 0x61794385,
+    0x617530db, 0x61711df5,
+  0x616d0ad3, 0x6168f775, 0x6164e3db, 0x6160d005, 0x615cbbf3, 0x6158a7a4,
+    0x6154931a, 0x61507e54,
+  0x614c6951, 0x61485413, 0x61443e98, 0x614028e2, 0x613c12f0, 0x6137fcc1,
+    0x6133e657, 0x612fcfb0,
+  0x612bb8ce, 0x6127a1b0, 0x61238a56, 0x611f72c0, 0x611b5aee, 0x611742e0,
+    0x61132a96, 0x610f1210,
+  0x610af94f, 0x6106e051, 0x6102c718, 0x60feada3, 0x60fa93f2, 0x60f67a05,
+    0x60f25fdd, 0x60ee4579,
+  0x60ea2ad8, 0x60e60ffd, 0x60e1f4e5, 0x60ddd991, 0x60d9be02, 0x60d5a237,
+    0x60d18631, 0x60cd69ee,
+  0x60c94d70, 0x60c530b6, 0x60c113c1, 0x60bcf690, 0x60b8d923, 0x60b4bb7a,
+    0x60b09d96, 0x60ac7f76,
+  0x60a8611b, 0x60a44284, 0x60a023b1, 0x609c04a3, 0x6097e559, 0x6093c5d3,
+    0x608fa612, 0x608b8616,
+  0x608765dd, 0x6083456a, 0x607f24ba, 0x607b03d0, 0x6076e2a9, 0x6072c148,
+    0x606e9faa, 0x606a7dd2,
+  0x60665bbd, 0x6062396e, 0x605e16e2, 0x6059f41c, 0x6055d11a, 0x6051addc,
+    0x604d8a63, 0x604966af,
+  0x604542bf, 0x60411e94, 0x603cfa2e, 0x6038d58c, 0x6034b0af, 0x60308b97,
+    0x602c6643, 0x602840b4,
+  0x60241ae9, 0x601ff4e3, 0x601bcea2, 0x6017a826, 0x6013816e, 0x600f5a7b,
+    0x600b334d, 0x60070be4,
+  0x6002e43f, 0x5ffebc5f, 0x5ffa9444, 0x5ff66bee, 0x5ff2435d, 0x5fee1a90,
+    0x5fe9f188, 0x5fe5c845,
+  0x5fe19ec7, 0x5fdd750e, 0x5fd94b19, 0x5fd520ea, 0x5fd0f67f, 0x5fcccbd9,
+    0x5fc8a0f8, 0x5fc475dc,
+  0x5fc04a85, 0x5fbc1ef3, 0x5fb7f326, 0x5fb3c71e, 0x5faf9adb, 0x5fab6e5d,
+    0x5fa741a3, 0x5fa314af,
+  0x5f9ee780, 0x5f9aba16, 0x5f968c70, 0x5f925e90, 0x5f8e3075, 0x5f8a021f,
+    0x5f85d38e, 0x5f81a4c2,
+  0x5f7d75bb, 0x5f794679, 0x5f7516fd, 0x5f70e745, 0x5f6cb753, 0x5f688726,
+    0x5f6456be, 0x5f60261b,
+  0x5f5bf53d, 0x5f57c424, 0x5f5392d1, 0x5f4f6143, 0x5f4b2f7a, 0x5f46fd76,
+    0x5f42cb37, 0x5f3e98be,
+  0x5f3a660a, 0x5f36331b, 0x5f31fff1, 0x5f2dcc8d, 0x5f2998ee, 0x5f256515,
+    0x5f213100, 0x5f1cfcb1,
+  0x5f18c827, 0x5f149363, 0x5f105e64, 0x5f0c292a, 0x5f07f3b6, 0x5f03be07,
+    0x5eff881d, 0x5efb51f9,
+  0x5ef71b9b, 0x5ef2e501, 0x5eeeae2d, 0x5eea771f, 0x5ee63fd6, 0x5ee20853,
+    0x5eddd094, 0x5ed9989c,
+  0x5ed56069, 0x5ed127fb, 0x5eccef53, 0x5ec8b671, 0x5ec47d54, 0x5ec043fc,
+    0x5ebc0a6a, 0x5eb7d09e,
+  0x5eb39697, 0x5eaf5c56, 0x5eab21da, 0x5ea6e724, 0x5ea2ac34, 0x5e9e7109,
+    0x5e9a35a4, 0x5e95fa05,
+  0x5e91be2b, 0x5e8d8217, 0x5e8945c8, 0x5e85093f, 0x5e80cc7c, 0x5e7c8f7f,
+    0x5e785247, 0x5e7414d5,
+  0x5e6fd729, 0x5e6b9943, 0x5e675b22, 0x5e631cc7, 0x5e5ede32, 0x5e5a9f62,
+    0x5e566059, 0x5e522115,
+  0x5e4de197, 0x5e49a1df, 0x5e4561ed, 0x5e4121c0, 0x5e3ce15a, 0x5e38a0b9,
+    0x5e345fde, 0x5e301ec9,
+  0x5e2bdd7a, 0x5e279bf1, 0x5e235a2e, 0x5e1f1830, 0x5e1ad5f9, 0x5e169388,
+    0x5e1250dc, 0x5e0e0df7,
+  0x5e09cad7, 0x5e05877e, 0x5e0143ea, 0x5dfd001d, 0x5df8bc15, 0x5df477d4,
+    0x5df03359, 0x5debeea3,
+  0x5de7a9b4, 0x5de3648b, 0x5ddf1f28, 0x5ddad98b, 0x5dd693b4, 0x5dd24da3,
+    0x5dce0759, 0x5dc9c0d4,
+  0x5dc57a16, 0x5dc1331d, 0x5dbcebeb, 0x5db8a480, 0x5db45cda, 0x5db014fa,
+    0x5dabcce1, 0x5da7848e,
+  0x5da33c01, 0x5d9ef33b, 0x5d9aaa3a, 0x5d966100, 0x5d92178d, 0x5d8dcddf,
+    0x5d8983f8, 0x5d8539d7,
+  0x5d80ef7c, 0x5d7ca4e8, 0x5d785a1a, 0x5d740f12, 0x5d6fc3d1, 0x5d6b7856,
+    0x5d672ca2, 0x5d62e0b4,
+  0x5d5e948c, 0x5d5a482a, 0x5d55fb90, 0x5d51aebb, 0x5d4d61ad, 0x5d491465,
+    0x5d44c6e4, 0x5d40792a,
+  0x5d3c2b35, 0x5d37dd08, 0x5d338ea0, 0x5d2f4000, 0x5d2af125, 0x5d26a212,
+    0x5d2252c5, 0x5d1e033e,
+  0x5d19b37e, 0x5d156385, 0x5d111352, 0x5d0cc2e5, 0x5d087240, 0x5d042161,
+    0x5cffd048, 0x5cfb7ef7,
+  0x5cf72d6b, 0x5cf2dba7, 0x5cee89a9, 0x5cea3772, 0x5ce5e501, 0x5ce19258,
+    0x5cdd3f75, 0x5cd8ec58,
+  0x5cd49903, 0x5cd04574, 0x5ccbf1ab, 0x5cc79daa, 0x5cc3496f, 0x5cbef4fc,
+    0x5cbaa04f, 0x5cb64b68,
+  0x5cb1f649, 0x5cada0f0, 0x5ca94b5e, 0x5ca4f594, 0x5ca09f8f, 0x5c9c4952,
+    0x5c97f2dc, 0x5c939c2c,
+  0x5c8f4544, 0x5c8aee22, 0x5c8696c7, 0x5c823f34, 0x5c7de767, 0x5c798f61,
+    0x5c753722, 0x5c70deaa,
+  0x5c6c85f9, 0x5c682d0f, 0x5c63d3eb, 0x5c5f7a8f, 0x5c5b20fa, 0x5c56c72c,
+    0x5c526d25, 0x5c4e12e5,
+  0x5c49b86d, 0x5c455dbb, 0x5c4102d0, 0x5c3ca7ad, 0x5c384c50, 0x5c33f0bb,
+    0x5c2f94ec, 0x5c2b38e5,
+  0x5c26dca5, 0x5c22802c, 0x5c1e237b, 0x5c19c690, 0x5c15696d, 0x5c110c11,
+    0x5c0cae7c, 0x5c0850ae,
+  0x5c03f2a8, 0x5bff9469, 0x5bfb35f1, 0x5bf6d740, 0x5bf27857, 0x5bee1935,
+    0x5be9b9da, 0x5be55a46,
+  0x5be0fa7a, 0x5bdc9a75, 0x5bd83a37, 0x5bd3d9c1, 0x5bcf7912, 0x5bcb182b,
+    0x5bc6b70b, 0x5bc255b2,
+  0x5bbdf421, 0x5bb99257, 0x5bb53054, 0x5bb0ce19, 0x5bac6ba6, 0x5ba808f9,
+    0x5ba3a615, 0x5b9f42f7,
+  0x5b9adfa2, 0x5b967c13, 0x5b92184d, 0x5b8db44d, 0x5b895016, 0x5b84eba6,
+    0x5b8086fd, 0x5b7c221c,
+  0x5b77bd02, 0x5b7357b0, 0x5b6ef226, 0x5b6a8c63, 0x5b662668, 0x5b61c035,
+    0x5b5d59c9, 0x5b58f324,
+  0x5b548c48, 0x5b502533, 0x5b4bbde6, 0x5b475660, 0x5b42eea2, 0x5b3e86ac,
+    0x5b3a1e7e, 0x5b35b617,
+  0x5b314d78, 0x5b2ce4a1, 0x5b287b91, 0x5b241249, 0x5b1fa8c9, 0x5b1b3f11,
+    0x5b16d521, 0x5b126af8,
+  0x5b0e0098, 0x5b0995ff, 0x5b052b2e, 0x5b00c025, 0x5afc54e3, 0x5af7e96a,
+    0x5af37db8, 0x5aef11cf,
+  0x5aeaa5ad, 0x5ae63953, 0x5ae1ccc1, 0x5add5ff7, 0x5ad8f2f5, 0x5ad485bb,
+    0x5ad01849, 0x5acbaa9f,
+  0x5ac73cbd, 0x5ac2cea3, 0x5abe6050, 0x5ab9f1c6, 0x5ab58304, 0x5ab1140a,
+    0x5aaca4d8, 0x5aa8356f,
+  0x5aa3c5cd, 0x5a9f55f3, 0x5a9ae5e2, 0x5a967598, 0x5a920517, 0x5a8d945d,
+    0x5a89236c, 0x5a84b243,
+  0x5a8040e3, 0x5a7bcf4a, 0x5a775d7a, 0x5a72eb71, 0x5a6e7931, 0x5a6a06ba,
+    0x5a65940a, 0x5a612123,
+  0x5a5cae04, 0x5a583aad, 0x5a53c71e, 0x5a4f5358, 0x5a4adf5a, 0x5a466b24,
+    0x5a41f6b7, 0x5a3d8212,
+  0x5a390d35, 0x5a349821, 0x5a3022d5, 0x5a2bad51, 0x5a273796, 0x5a22c1a3,
+    0x5a1e4b79, 0x5a19d517,
+  0x5a155e7d, 0x5a10e7ac, 0x5a0c70a3, 0x5a07f963, 0x5a0381eb, 0x59ff0a3c,
+    0x59fa9255, 0x59f61a36,
+  0x59f1a1e0, 0x59ed2953, 0x59e8b08e, 0x59e43792, 0x59dfbe5e, 0x59db44f3,
+    0x59d6cb50, 0x59d25176,
+  0x59cdd765, 0x59c95d1c, 0x59c4e29c, 0x59c067e4, 0x59bbecf5, 0x59b771cf,
+    0x59b2f671, 0x59ae7add,
+  0x59a9ff10, 0x59a5830d, 0x59a106d2, 0x599c8a60, 0x59980db6, 0x599390d5,
+    0x598f13bd, 0x598a966e,
+  0x598618e8, 0x59819b2a, 0x597d1d35, 0x59789f09, 0x597420a6, 0x596fa20b,
+    0x596b233a, 0x5966a431,
+  0x596224f1, 0x595da57a, 0x595925cc, 0x5954a5e6, 0x595025ca, 0x594ba576,
+    0x594724ec, 0x5942a42a,
+  0x593e2331, 0x5939a202, 0x5935209b, 0x59309efd, 0x592c1d28, 0x59279b1c,
+    0x592318d9, 0x591e9660,
+  0x591a13af, 0x591590c7, 0x59110da8, 0x590c8a53, 0x590806c6, 0x59038302,
+    0x58feff08, 0x58fa7ad7,
+  0x58f5f66e, 0x58f171cf, 0x58ececf9, 0x58e867ed, 0x58e3e2a9, 0x58df5d2e,
+    0x58dad77d, 0x58d65195,
+  0x58d1cb76, 0x58cd4520, 0x58c8be94, 0x58c437d1, 0x58bfb0d7, 0x58bb29a6,
+    0x58b6a23e, 0x58b21aa0,
+  0x58ad92cb, 0x58a90ac0, 0x58a4827d, 0x589ffa04, 0x589b7155, 0x5896e86f,
+    0x58925f52, 0x588dd5fe,
+  0x58894c74, 0x5884c2b3, 0x588038bb, 0x587bae8d, 0x58772429, 0x5872998e,
+    0x586e0ebc, 0x586983b4,
+  0x5864f875, 0x58606d00, 0x585be154, 0x58575571, 0x5852c958, 0x584e3d09,
+    0x5849b083, 0x584523c7,
+  0x584096d4, 0x583c09ab, 0x58377c4c, 0x5832eeb6, 0x582e60e9, 0x5829d2e6,
+    0x582544ad, 0x5820b63e,
+  0x581c2798, 0x581798bb, 0x581309a9, 0x580e7a60, 0x5809eae1, 0x58055b2b,
+    0x5800cb3f, 0x57fc3b1d,
+  0x57f7aac5, 0x57f31a36, 0x57ee8971, 0x57e9f876, 0x57e56744, 0x57e0d5dd,
+    0x57dc443f, 0x57d7b26b,
+  0x57d32061, 0x57ce8e20, 0x57c9fbaa, 0x57c568fd, 0x57c0d61a, 0x57bc4301,
+    0x57b7afb2, 0x57b31c2d,
+  0x57ae8872, 0x57a9f480, 0x57a56059, 0x57a0cbfb, 0x579c3768, 0x5797a29e,
+    0x57930d9e, 0x578e7869,
+  0x5789e2fd, 0x57854d5b, 0x5780b784, 0x577c2176, 0x57778b32, 0x5772f4b9,
+    0x576e5e09, 0x5769c724,
+  0x57653009, 0x576098b7, 0x575c0130, 0x57576973, 0x5752d180, 0x574e3957,
+    0x5749a0f9, 0x57450864,
+  0x57406f9a, 0x573bd69a, 0x57373d64, 0x5732a3f8, 0x572e0a56, 0x5729707f,
+    0x5724d672, 0x57203c2f,
+  0x571ba1b7, 0x57170708, 0x57126c24, 0x570dd10a, 0x570935bb, 0x57049a36,
+    0x56fffe7b, 0x56fb628b,
+  0x56f6c664, 0x56f22a09, 0x56ed8d77, 0x56e8f0b0, 0x56e453b4, 0x56dfb681,
+    0x56db1919, 0x56d67b7c,
+  0x56d1dda9, 0x56cd3fa1, 0x56c8a162, 0x56c402ef, 0x56bf6446, 0x56bac567,
+    0x56b62653, 0x56b18709,
+  0x56ace78a, 0x56a847d6, 0x56a3a7ec, 0x569f07cc, 0x569a6777, 0x5695c6ed,
+    0x5691262d, 0x568c8538,
+  0x5687e40e, 0x568342ae, 0x567ea118, 0x5679ff4e, 0x56755d4e, 0x5670bb19,
+    0x566c18ae, 0x5667760e,
+  0x5662d339, 0x565e302e, 0x56598cee, 0x5654e979, 0x565045cf, 0x564ba1f0,
+    0x5646fddb, 0x56425991,
+  0x563db512, 0x5639105d, 0x56346b74, 0x562fc655, 0x562b2101, 0x56267b78,
+    0x5621d5ba, 0x561d2fc6,
+  0x5618899e, 0x5613e340, 0x560f3cae, 0x560a95e6, 0x5605eee9, 0x560147b7,
+    0x55fca050, 0x55f7f8b4,
+  0x55f350e3, 0x55eea8dd, 0x55ea00a2, 0x55e55832, 0x55e0af8d, 0x55dc06b3,
+    0x55d75da4, 0x55d2b460,
+  0x55ce0ae7, 0x55c96139, 0x55c4b757, 0x55c00d3f, 0x55bb62f3, 0x55b6b871,
+    0x55b20dbb, 0x55ad62d0,
+  0x55a8b7b0, 0x55a40c5b, 0x559f60d1, 0x559ab513, 0x55960920, 0x55915cf8,
+    0x558cb09b, 0x55880409,
+  0x55835743, 0x557eaa48, 0x5579fd18, 0x55754fb3, 0x5570a21a, 0x556bf44c,
+    0x55674649, 0x55629812,
+  0x555de9a6, 0x55593b05, 0x55548c30, 0x554fdd26, 0x554b2de7, 0x55467e74,
+    0x5541cecc, 0x553d1ef0,
+  0x55386edf, 0x5533be99, 0x552f0e1f, 0x552a5d70, 0x5525ac8d, 0x5520fb75,
+    0x551c4a29, 0x551798a8,
+  0x5512e6f3, 0x550e3509, 0x550982eb, 0x5504d099, 0x55001e12, 0x54fb6b56,
+    0x54f6b866, 0x54f20542,
+  0x54ed51e9, 0x54e89e5c, 0x54e3ea9a, 0x54df36a5, 0x54da827a, 0x54d5ce1c,
+    0x54d11989, 0x54cc64c2,
+  0x54c7afc6, 0x54c2fa96, 0x54be4532, 0x54b98f9a, 0x54b4d9cd, 0x54b023cc,
+    0x54ab6d97, 0x54a6b72e,
+  0x54a20090, 0x549d49bf, 0x549892b9, 0x5493db7f, 0x548f2410, 0x548a6c6e,
+    0x5485b497, 0x5480fc8c,
+  0x547c444d, 0x54778bda, 0x5472d333, 0x546e1a58, 0x54696149, 0x5464a805,
+    0x545fee8e, 0x545b34e3,
+  0x54567b03, 0x5451c0f0, 0x544d06a8, 0x54484c2d, 0x5443917d, 0x543ed699,
+    0x543a1b82, 0x54356037,
+  0x5430a4b7, 0x542be904, 0x54272d1d, 0x54227102, 0x541db4b3, 0x5418f830,
+    0x54143b79, 0x540f7e8e,
+  0x540ac170, 0x5406041d, 0x54014697, 0x53fc88dd, 0x53f7caef, 0x53f30cce,
+    0x53ee4e78, 0x53e98fef,
+  0x53e4d132, 0x53e01242, 0x53db531d, 0x53d693c5, 0x53d1d439, 0x53cd147a,
+    0x53c85486, 0x53c3945f,
+  0x53bed405, 0x53ba1377, 0x53b552b5, 0x53b091bf, 0x53abd096, 0x53a70f39,
+    0x53a24da9, 0x539d8be5,
+  0x5398c9ed, 0x539407c2, 0x538f4564, 0x538a82d1, 0x5385c00c, 0x5380fd12,
+    0x537c39e6, 0x53777685,
+  0x5372b2f2, 0x536def2a, 0x53692b30, 0x53646701, 0x535fa2a0, 0x535ade0b,
+    0x53561942, 0x53515447,
+  0x534c8f17, 0x5347c9b5, 0x5343041f, 0x533e3e55, 0x53397859, 0x5334b229,
+    0x532febc5, 0x532b252f,
+  0x53265e65, 0x53219767, 0x531cd037, 0x531808d3, 0x5313413c, 0x530e7972,
+    0x5309b174, 0x5304e943,
+  0x530020df, 0x52fb5848, 0x52f68f7e, 0x52f1c680, 0x52ecfd4f, 0x52e833ec,
+    0x52e36a55, 0x52dea08a,
+  0x52d9d68d, 0x52d50c5d, 0x52d041f9, 0x52cb7763, 0x52c6ac99, 0x52c1e19d,
+    0x52bd166d, 0x52b84b0a,
+  0x52b37f74, 0x52aeb3ac, 0x52a9e7b0, 0x52a51b81, 0x52a04f1f, 0x529b828a,
+    0x5296b5c3, 0x5291e8c8,
+  0x528d1b9b, 0x52884e3a, 0x528380a7, 0x527eb2e0, 0x5279e4e7, 0x527516bb,
+    0x5270485c, 0x526b79ca,
+  0x5266ab06, 0x5261dc0e, 0x525d0ce4, 0x52583d87, 0x52536df7, 0x524e9e34,
+    0x5249ce3f, 0x5244fe17,
+  0x52402dbc, 0x523b5d2e, 0x52368c6e, 0x5231bb7b, 0x522cea55, 0x522818fc,
+    0x52234771, 0x521e75b3,
+  0x5219a3c3, 0x5214d1a0, 0x520fff4a, 0x520b2cc2, 0x52065a07, 0x52018719,
+    0x51fcb3f9, 0x51f7e0a6,
+  0x51f30d21, 0x51ee3969, 0x51e9657e, 0x51e49162, 0x51dfbd12, 0x51dae890,
+    0x51d613dc, 0x51d13ef5,
+  0x51cc69db, 0x51c79490, 0x51c2bf11, 0x51bde960, 0x51b9137d, 0x51b43d68,
+    0x51af6720, 0x51aa90a5,
+  0x51a5b9f9, 0x51a0e31a, 0x519c0c08, 0x519734c4, 0x51925d4e, 0x518d85a6,
+    0x5188adcb, 0x5183d5be,
+  0x517efd7f, 0x517a250d, 0x51754c69, 0x51707393, 0x516b9a8b, 0x5166c150,
+    0x5161e7e4, 0x515d0e45,
+  0x51583473, 0x51535a70, 0x514e803b, 0x5149a5d3, 0x5144cb39, 0x513ff06d,
+    0x513b156f, 0x51363a3f,
+  0x51315edd, 0x512c8348, 0x5127a782, 0x5122cb8a, 0x511def5f, 0x51191302,
+    0x51143674, 0x510f59b3,
+  0x510a7cc1, 0x51059f9c, 0x5100c246, 0x50fbe4bd, 0x50f70703, 0x50f22916,
+    0x50ed4af8, 0x50e86ca8,
+  0x50e38e25, 0x50deaf71, 0x50d9d08b, 0x50d4f173, 0x50d0122a, 0x50cb32ae,
+    0x50c65301, 0x50c17322,
+  0x50bc9311, 0x50b7b2ce, 0x50b2d259, 0x50adf1b3, 0x50a910db, 0x50a42fd1,
+    0x509f4e95, 0x509a6d28,
+  0x50958b88, 0x5090a9b8, 0x508bc7b5, 0x5086e581, 0x5082031b, 0x507d2083,
+    0x50783dba, 0x50735abf,
+  0x506e7793, 0x50699435, 0x5064b0a5, 0x505fcce4, 0x505ae8f1, 0x505604cd,
+    0x50512077, 0x504c3bef,
+  0x50475736, 0x5042724c, 0x503d8d30, 0x5038a7e2, 0x5033c263, 0x502edcb2,
+    0x5029f6d1, 0x502510bd,
+  0x50202a78, 0x501b4402, 0x50165d5a, 0x50117681, 0x500c8f77, 0x5007a83b,
+    0x5002c0cd, 0x4ffdd92f,
+  0x4ff8f15f, 0x4ff4095e, 0x4fef212b, 0x4fea38c7, 0x4fe55032, 0x4fe0676c,
+    0x4fdb7e74, 0x4fd6954b,
+  0x4fd1abf0, 0x4fccc265, 0x4fc7d8a8, 0x4fc2eeba, 0x4fbe049b, 0x4fb91a4b,
+    0x4fb42fc9, 0x4faf4517,
+  0x4faa5a33, 0x4fa56f1e, 0x4fa083d8, 0x4f9b9861, 0x4f96acb8, 0x4f91c0df,
+    0x4f8cd4d4, 0x4f87e899,
+  0x4f82fc2c, 0x4f7e0f8f, 0x4f7922c0, 0x4f7435c0, 0x4f6f488f, 0x4f6a5b2e,
+    0x4f656d9b, 0x4f607fd7,
+  0x4f5b91e3, 0x4f56a3bd, 0x4f51b566, 0x4f4cc6df, 0x4f47d827, 0x4f42e93d,
+    0x4f3dfa23, 0x4f390ad8,
+  0x4f341b5c, 0x4f2f2baf, 0x4f2a3bd2, 0x4f254bc3, 0x4f205b84, 0x4f1b6b14,
+    0x4f167a73, 0x4f1189a1,
+  0x4f0c989f, 0x4f07a76b, 0x4f02b608, 0x4efdc473, 0x4ef8d2ad, 0x4ef3e0b7,
+    0x4eeeee90, 0x4ee9fc39,
+  0x4ee509b1, 0x4ee016f8, 0x4edb240e, 0x4ed630f4, 0x4ed13da9, 0x4ecc4a2e,
+    0x4ec75682, 0x4ec262a5,
+  0x4ebd6e98, 0x4eb87a5a, 0x4eb385ec, 0x4eae914d, 0x4ea99c7d, 0x4ea4a77d,
+    0x4e9fb24d, 0x4e9abcec,
+  0x4e95c75b, 0x4e90d199, 0x4e8bdba6, 0x4e86e583, 0x4e81ef30, 0x4e7cf8ac,
+    0x4e7801f8, 0x4e730b14,
+  0x4e6e13ff, 0x4e691cba, 0x4e642544, 0x4e5f2d9e, 0x4e5a35c7, 0x4e553dc1,
+    0x4e50458a, 0x4e4b4d22,
+  0x4e46548b, 0x4e415bc3, 0x4e3c62cb, 0x4e3769a2, 0x4e32704a, 0x4e2d76c1,
+    0x4e287d08, 0x4e23831e,
+  0x4e1e8905, 0x4e198ebb, 0x4e149441, 0x4e0f9997, 0x4e0a9ebd, 0x4e05a3b2,
+    0x4e00a878, 0x4dfbad0d,
+  0x4df6b173, 0x4df1b5a8, 0x4decb9ad, 0x4de7bd82, 0x4de2c127, 0x4dddc49c,
+    0x4dd8c7e1, 0x4dd3caf6,
+  0x4dcecdda, 0x4dc9d08f, 0x4dc4d314, 0x4dbfd569, 0x4dbad78e, 0x4db5d983,
+    0x4db0db48, 0x4dabdcdd,
+  0x4da6de43, 0x4da1df78, 0x4d9ce07d, 0x4d97e153, 0x4d92e1f9, 0x4d8de26f,
+    0x4d88e2b5, 0x4d83e2cb,
+  0x4d7ee2b1, 0x4d79e268, 0x4d74e1ef, 0x4d6fe146, 0x4d6ae06d, 0x4d65df64,
+    0x4d60de2c, 0x4d5bdcc4,
+  0x4d56db2d, 0x4d51d965, 0x4d4cd76e, 0x4d47d547, 0x4d42d2f1, 0x4d3dd06b,
+    0x4d38cdb5, 0x4d33cad0,
+  0x4d2ec7bb, 0x4d29c476, 0x4d24c102, 0x4d1fbd5e, 0x4d1ab98b, 0x4d15b588,
+    0x4d10b155, 0x4d0bacf3,
+  0x4d06a862, 0x4d01a3a0, 0x4cfc9eb0, 0x4cf79990, 0x4cf29440, 0x4ced8ec1,
+    0x4ce88913, 0x4ce38335,
+  0x4cde7d28, 0x4cd976eb, 0x4cd4707f, 0x4ccf69e3, 0x4cca6318, 0x4cc55c1e,
+    0x4cc054f4, 0x4cbb4d9b,
+  0x4cb64613, 0x4cb13e5b, 0x4cac3674, 0x4ca72e5e, 0x4ca22619, 0x4c9d1da4,
+    0x4c981500, 0x4c930c2d,
+  0x4c8e032a, 0x4c88f9f8, 0x4c83f097, 0x4c7ee707, 0x4c79dd48, 0x4c74d359,
+    0x4c6fc93b, 0x4c6abeef,
+  0x4c65b473, 0x4c60a9c8, 0x4c5b9eed, 0x4c5693e4, 0x4c5188ac, 0x4c4c7d44,
+    0x4c4771ae, 0x4c4265e8,
+  0x4c3d59f3, 0x4c384dd0, 0x4c33417d, 0x4c2e34fb, 0x4c29284b, 0x4c241b6b,
+    0x4c1f0e5c, 0x4c1a011f,
+  0x4c14f3b2, 0x4c0fe617, 0x4c0ad84c, 0x4c05ca53, 0x4c00bc2b, 0x4bfbadd4,
+    0x4bf69f4e, 0x4bf19099,
+  0x4bec81b5, 0x4be772a3, 0x4be26362, 0x4bdd53f2, 0x4bd84453, 0x4bd33485,
+    0x4bce2488, 0x4bc9145d,
+  0x4bc40403, 0x4bbef37b, 0x4bb9e2c3, 0x4bb4d1dd, 0x4bafc0c8, 0x4baaaf85,
+    0x4ba59e12, 0x4ba08c72,
+  0x4b9b7aa2, 0x4b9668a4, 0x4b915677, 0x4b8c441c, 0x4b873192, 0x4b821ed9,
+    0x4b7d0bf2, 0x4b77f8dc,
+  0x4b72e598, 0x4b6dd225, 0x4b68be84, 0x4b63aab4, 0x4b5e96b6, 0x4b598289,
+    0x4b546e2d, 0x4b4f59a4,
+  0x4b4a44eb, 0x4b453005, 0x4b401aef, 0x4b3b05ac, 0x4b35f03a, 0x4b30da9a,
+    0x4b2bc4cb, 0x4b26aece,
+  0x4b2198a2, 0x4b1c8248, 0x4b176bc0, 0x4b12550a, 0x4b0d3e25, 0x4b082712,
+    0x4b030fd1, 0x4afdf861,
+  0x4af8e0c3, 0x4af3c8f7, 0x4aeeb0fd, 0x4ae998d4, 0x4ae4807d, 0x4adf67f8,
+    0x4ada4f45, 0x4ad53664,
+  0x4ad01d54, 0x4acb0417, 0x4ac5eaab, 0x4ac0d111, 0x4abbb749, 0x4ab69d53,
+    0x4ab1832f, 0x4aac68dc,
+  0x4aa74e5c, 0x4aa233ae, 0x4a9d18d1, 0x4a97fdc7, 0x4a92e28e, 0x4a8dc728,
+    0x4a88ab93, 0x4a838fd1,
+  0x4a7e73e0, 0x4a7957c2, 0x4a743b76, 0x4a6f1efc, 0x4a6a0253, 0x4a64e57d,
+    0x4a5fc879, 0x4a5aab48,
+  0x4a558de8, 0x4a50705a, 0x4a4b529f, 0x4a4634b6, 0x4a41169f, 0x4a3bf85a,
+    0x4a36d9e7, 0x4a31bb47,
+  0x4a2c9c79, 0x4a277d7d, 0x4a225e53, 0x4a1d3efc, 0x4a181f77, 0x4a12ffc4,
+    0x4a0ddfe4, 0x4a08bfd5,
+  0x4a039f9a, 0x49fe7f30, 0x49f95e99, 0x49f43dd4, 0x49ef1ce2, 0x49e9fbc2,
+    0x49e4da74, 0x49dfb8f9,
+  0x49da9750, 0x49d5757a, 0x49d05376, 0x49cb3145, 0x49c60ee6, 0x49c0ec59,
+    0x49bbc9a0, 0x49b6a6b8,
+  0x49b183a3, 0x49ac6061, 0x49a73cf1, 0x49a21954, 0x499cf589, 0x4997d191,
+    0x4992ad6c, 0x498d8919,
+  0x49886499, 0x49833fec, 0x497e1b11, 0x4978f609, 0x4973d0d3, 0x496eab70,
+    0x496985e0, 0x49646023,
+  0x495f3a38, 0x495a1420, 0x4954eddb, 0x494fc768, 0x494aa0c9, 0x494579fc,
+    0x49405302, 0x493b2bdb,
+  0x49360486, 0x4930dd05, 0x492bb556, 0x49268d7a, 0x49216571, 0x491c3d3b,
+    0x491714d8, 0x4911ec47,
+  0x490cc38a, 0x49079aa0, 0x49027188, 0x48fd4844, 0x48f81ed2, 0x48f2f534,
+    0x48edcb68, 0x48e8a170,
+  0x48e3774a, 0x48de4cf8, 0x48d92278, 0x48d3f7cc, 0x48ceccf3, 0x48c9a1ed,
+    0x48c476b9, 0x48bf4b59,
+  0x48ba1fcd, 0x48b4f413, 0x48afc82c, 0x48aa9c19, 0x48a56fd9, 0x48a0436c,
+    0x489b16d2, 0x4895ea0b,
+  0x4890bd18, 0x488b8ff8, 0x488662ab, 0x48813531, 0x487c078b, 0x4876d9b8,
+    0x4871abb8, 0x486c7d8c,
+  0x48674f33, 0x486220ad, 0x485cf1fa, 0x4857c31b, 0x48529410, 0x484d64d7,
+    0x48483572, 0x484305e1,
+  0x483dd623, 0x4838a638, 0x48337621, 0x482e45dd, 0x4829156d, 0x4823e4d0,
+    0x481eb407, 0x48198311,
+  0x481451ef, 0x480f20a0, 0x4809ef25, 0x4804bd7e, 0x47ff8baa, 0x47fa59a9,
+    0x47f5277d, 0x47eff523,
+  0x47eac29e, 0x47e58fec, 0x47e05d0e, 0x47db2a03, 0x47d5f6cc, 0x47d0c369,
+    0x47cb8fd9, 0x47c65c1d,
+  0x47c12835, 0x47bbf421, 0x47b6bfe0, 0x47b18b74, 0x47ac56da, 0x47a72215,
+    0x47a1ed24, 0x479cb806,
+  0x479782bc, 0x47924d46, 0x478d17a4, 0x4787e1d6, 0x4782abdb, 0x477d75b5,
+    0x47783f62, 0x477308e3,
+  0x476dd239, 0x47689b62, 0x4763645f, 0x475e2d30, 0x4758f5d5, 0x4753be4e,
+    0x474e869b, 0x47494ebc,
+  0x474416b1, 0x473ede7a, 0x4739a617, 0x47346d89, 0x472f34ce, 0x4729fbe7,
+    0x4724c2d5, 0x471f8996,
+  0x471a502c, 0x47151696, 0x470fdcd4, 0x470aa2e6, 0x470568cd, 0x47002e87,
+    0x46faf416, 0x46f5b979,
+  0x46f07eb0, 0x46eb43bc, 0x46e6089b, 0x46e0cd4f, 0x46db91d8, 0x46d65634,
+    0x46d11a65, 0x46cbde6a,
+  0x46c6a244, 0x46c165f1, 0x46bc2974, 0x46b6ecca, 0x46b1aff5, 0x46ac72f4,
+    0x46a735c8, 0x46a1f870,
+  0x469cbaed, 0x46977d3e, 0x46923f63, 0x468d015d, 0x4687c32c, 0x468284cf,
+    0x467d4646, 0x46780792,
+  0x4672c8b3, 0x466d89a8, 0x46684a71, 0x46630b0f, 0x465dcb82, 0x46588bc9,
+    0x46534be5, 0x464e0bd6,
+  0x4648cb9b, 0x46438b35, 0x463e4aa3, 0x463909e7, 0x4633c8fe, 0x462e87eb,
+    0x462946ac, 0x46240542,
+  0x461ec3ad, 0x461981ec, 0x46144001, 0x460efde9, 0x4609bba7, 0x4604793a,
+    0x45ff36a1, 0x45f9f3dd,
+  0x45f4b0ee, 0x45ef6dd4, 0x45ea2a8f, 0x45e4e71f, 0x45dfa383, 0x45da5fbc,
+    0x45d51bcb, 0x45cfd7ae,
+  0x45ca9366, 0x45c54ef3, 0x45c00a55, 0x45bac58c, 0x45b58098, 0x45b03b79,
+    0x45aaf630, 0x45a5b0bb,
+  0x45a06b1b, 0x459b2550, 0x4595df5a, 0x45909939, 0x458b52ee, 0x45860c77,
+    0x4580c5d6, 0x457b7f0a,
+  0x45763813, 0x4570f0f1, 0x456ba9a4, 0x4566622c, 0x45611a8a, 0x455bd2bc,
+    0x45568ac4, 0x455142a2,
+  0x454bfa54, 0x4546b1dc, 0x45416939, 0x453c206b, 0x4536d773, 0x45318e4f,
+    0x452c4502, 0x4526fb89,
+  0x4521b1e6, 0x451c6818, 0x45171e20, 0x4511d3fd, 0x450c89af, 0x45073f37,
+    0x4501f494, 0x44fca9c6,
+  0x44f75ecf, 0x44f213ac, 0x44ecc85f, 0x44e77ce7, 0x44e23145, 0x44dce579,
+    0x44d79982, 0x44d24d60,
+  0x44cd0114, 0x44c7b49e, 0x44c267fd, 0x44bd1b32, 0x44b7ce3c, 0x44b2811c,
+    0x44ad33d2, 0x44a7e65d,
+  0x44a298be, 0x449d4af5, 0x4497fd01, 0x4492aee3, 0x448d609b, 0x44881228,
+    0x4482c38b, 0x447d74c4,
+  0x447825d2, 0x4472d6b7, 0x446d8771, 0x44683801, 0x4462e866, 0x445d98a2,
+    0x445848b3, 0x4452f89b,
+  0x444da858, 0x444857ea, 0x44430753, 0x443db692, 0x443865a7, 0x44331491,
+    0x442dc351, 0x442871e8,
+  0x44232054, 0x441dce96, 0x44187caf, 0x44132a9d, 0x440dd861, 0x440885fc,
+    0x4403336c, 0x43fde0b2,
+  0x43f88dcf, 0x43f33ac1, 0x43ede78a, 0x43e89429, 0x43e3409d, 0x43ddece8,
+    0x43d8990a, 0x43d34501,
+  0x43cdf0ce, 0x43c89c72, 0x43c347eb, 0x43bdf33b, 0x43b89e62, 0x43b3495e,
+    0x43adf431, 0x43a89ed9,
+  0x43a34959, 0x439df3ae, 0x43989dda, 0x439347dc, 0x438df1b4, 0x43889b63,
+    0x438344e8, 0x437dee43,
+  0x43789775, 0x4373407d, 0x436de95b, 0x43689210, 0x43633a9c, 0x435de2fd,
+    0x43588b36, 0x43533344,
+  0x434ddb29, 0x434882e5, 0x43432a77, 0x433dd1e0, 0x4338791f, 0x43332035,
+    0x432dc721, 0x43286de4,
+  0x4323147d, 0x431dbaed, 0x43186133, 0x43130751, 0x430dad44, 0x4308530f,
+    0x4302f8b0, 0x42fd9e28,
+  0x42f84376, 0x42f2e89b, 0x42ed8d97, 0x42e83269, 0x42e2d713, 0x42dd7b93,
+    0x42d81fe9, 0x42d2c417,
+  0x42cd681b, 0x42c80bf6, 0x42c2afa8, 0x42bd5331, 0x42b7f690, 0x42b299c7,
+    0x42ad3cd4, 0x42a7dfb8,
+  0x42a28273, 0x429d2505, 0x4297c76e, 0x429269ae, 0x428d0bc4, 0x4287adb2,
+    0x42824f76, 0x427cf112,
+  0x42779285, 0x427233ce, 0x426cd4ef, 0x426775e6, 0x426216b5, 0x425cb75a,
+    0x425757d7, 0x4251f82b,
+  0x424c9856, 0x42473858, 0x4241d831, 0x423c77e1, 0x42371769, 0x4231b6c7,
+    0x422c55fd, 0x4226f50a,
+  0x422193ee, 0x421c32a9, 0x4216d13c, 0x42116fa5, 0x420c0de6, 0x4206abfe,
+    0x420149ee, 0x41fbe7b5,
+  0x41f68553, 0x41f122c8, 0x41ebc015, 0x41e65d39, 0x41e0fa35, 0x41db9707,
+    0x41d633b1, 0x41d0d033,
+  0x41cb6c8c, 0x41c608bc, 0x41c0a4c4, 0x41bb40a3, 0x41b5dc5a, 0x41b077e8,
+    0x41ab134e, 0x41a5ae8b,
+  0x41a049a0, 0x419ae48c, 0x41957f4f, 0x419019eb, 0x418ab45d, 0x41854ea8,
+    0x417fe8ca, 0x417a82c3,
+  0x41751c94, 0x416fb63d, 0x416a4fbd, 0x4164e916, 0x415f8245, 0x415a1b4d,
+    0x4154b42c, 0x414f4ce2,
+  0x4149e571, 0x41447dd7, 0x413f1615, 0x4139ae2b, 0x41344618, 0x412edddd,
+    0x4129757b, 0x41240cef,
+  0x411ea43c, 0x41193b61, 0x4113d25d, 0x410e6931, 0x4108ffdd, 0x41039661,
+    0x40fe2cbd, 0x40f8c2f1,
+  0x40f358fc, 0x40edeee0, 0x40e8849b, 0x40e31a2f, 0x40ddaf9b, 0x40d844de,
+    0x40d2d9f9, 0x40cd6eed,
+  0x40c803b8, 0x40c2985c, 0x40bd2cd8, 0x40b7c12b, 0x40b25557, 0x40ace95b,
+    0x40a77d37, 0x40a210eb,
+  0x409ca477, 0x409737dc, 0x4091cb18, 0x408c5e2d, 0x4086f11a, 0x408183df,
+    0x407c167c, 0x4076a8f1,
+  0x40713b3f, 0x406bcd65, 0x40665f63, 0x4060f13a, 0x405b82e9, 0x40561470,
+    0x4050a5cf, 0x404b3707,
+  0x4045c817, 0x404058ff, 0x403ae9c0, 0x40357a59, 0x40300acb, 0x402a9b15,
+    0x40252b37, 0x401fbb32,
+  0x401a4b05, 0x4014dab1, 0x400f6a35, 0x4009f992, 0x400488c7, 0x3fff17d5,
+    0x3ff9a6bb, 0x3ff4357a,
+  0x3feec411, 0x3fe95281, 0x3fe3e0c9, 0x3fde6eeb, 0x3fd8fce4, 0x3fd38ab6,
+    0x3fce1861, 0x3fc8a5e5,
+  0x3fc33341, 0x3fbdc076, 0x3fb84d83, 0x3fb2da6a, 0x3fad6729, 0x3fa7f3c0,
+    0x3fa28031, 0x3f9d0c7a,
+  0x3f97989c, 0x3f922496, 0x3f8cb06a, 0x3f873c16, 0x3f81c79b, 0x3f7c52f9,
+    0x3f76de30, 0x3f71693f,
+  0x3f6bf428, 0x3f667ee9, 0x3f610983, 0x3f5b93f6, 0x3f561e42, 0x3f50a867,
+    0x3f4b3265, 0x3f45bc3c,
+  0x3f4045ec, 0x3f3acf75, 0x3f3558d7, 0x3f2fe211, 0x3f2a6b25, 0x3f24f412,
+    0x3f1f7cd8, 0x3f1a0577,
+  0x3f148def, 0x3f0f1640, 0x3f099e6b, 0x3f04266e, 0x3efeae4a, 0x3ef93600,
+    0x3ef3bd8f, 0x3eee44f7,
+  0x3ee8cc38, 0x3ee35352, 0x3eddda46, 0x3ed86113, 0x3ed2e7b9, 0x3ecd6e38,
+    0x3ec7f491, 0x3ec27ac2,
+  0x3ebd00cd, 0x3eb786b2, 0x3eb20c6f, 0x3eac9206, 0x3ea71777, 0x3ea19cc1,
+    0x3e9c21e4, 0x3e96a6e0,
+  0x3e912bb6, 0x3e8bb065, 0x3e8634ee, 0x3e80b950, 0x3e7b3d8c, 0x3e75c1a1,
+    0x3e70458f, 0x3e6ac957,
+  0x3e654cf8, 0x3e5fd073, 0x3e5a53c8, 0x3e54d6f6, 0x3e4f59fe, 0x3e49dcdf,
+    0x3e445f99, 0x3e3ee22e,
+  0x3e39649c, 0x3e33e6e3, 0x3e2e6904, 0x3e28eaff, 0x3e236cd4, 0x3e1dee82,
+    0x3e18700a, 0x3e12f16b,
+  0x3e0d72a6, 0x3e07f3bb, 0x3e0274aa, 0x3dfcf572, 0x3df77615, 0x3df1f691,
+    0x3dec76e6, 0x3de6f716,
+  0x3de1771f, 0x3ddbf703, 0x3dd676c0, 0x3dd0f656, 0x3dcb75c7, 0x3dc5f512,
+    0x3dc07436, 0x3dbaf335,
+  0x3db5720d, 0x3daff0c0, 0x3daa6f4c, 0x3da4edb2, 0x3d9f6bf2, 0x3d99ea0d,
+    0x3d946801, 0x3d8ee5cf,
+  0x3d896377, 0x3d83e0f9, 0x3d7e5e56, 0x3d78db8c, 0x3d73589d, 0x3d6dd587,
+    0x3d68524c, 0x3d62ceeb,
+  0x3d5d4b64, 0x3d57c7b7, 0x3d5243e4, 0x3d4cbfeb, 0x3d473bcd, 0x3d41b789,
+    0x3d3c331f, 0x3d36ae8f,
+  0x3d3129da, 0x3d2ba4fe, 0x3d261ffd, 0x3d209ad7, 0x3d1b158a, 0x3d159018,
+    0x3d100a80, 0x3d0a84c3,
+  0x3d04fee0, 0x3cff78d7, 0x3cf9f2a9, 0x3cf46c55, 0x3ceee5db, 0x3ce95f3c,
+    0x3ce3d877, 0x3cde518d,
+  0x3cd8ca7d, 0x3cd34347, 0x3ccdbbed, 0x3cc8346c, 0x3cc2acc6, 0x3cbd24fb,
+    0x3cb79d0a, 0x3cb214f4,
+  0x3cac8cb8, 0x3ca70457, 0x3ca17bd0, 0x3c9bf324, 0x3c966a53, 0x3c90e15c,
+    0x3c8b5840, 0x3c85cefe,
+  0x3c804598, 0x3c7abc0c, 0x3c75325a, 0x3c6fa883, 0x3c6a1e87, 0x3c649466,
+    0x3c5f0a20, 0x3c597fb4,
+  0x3c53f523, 0x3c4e6a6d, 0x3c48df91, 0x3c435491, 0x3c3dc96b, 0x3c383e20,
+    0x3c32b2b0, 0x3c2d271b,
+  0x3c279b61, 0x3c220f81, 0x3c1c837d, 0x3c16f753, 0x3c116b04, 0x3c0bde91,
+    0x3c0651f8, 0x3c00c53a,
+  0x3bfb3857, 0x3bf5ab50, 0x3bf01e23, 0x3bea90d1, 0x3be5035a, 0x3bdf75bf,
+    0x3bd9e7fe, 0x3bd45a19,
+  0x3bcecc0e, 0x3bc93ddf, 0x3bc3af8b, 0x3bbe2112, 0x3bb89274, 0x3bb303b1,
+    0x3bad74c9, 0x3ba7e5bd,
+  0x3ba2568c, 0x3b9cc736, 0x3b9737bb, 0x3b91a81c, 0x3b8c1857, 0x3b86886e,
+    0x3b80f861, 0x3b7b682e,
+  0x3b75d7d7, 0x3b70475c, 0x3b6ab6bb, 0x3b6525f6, 0x3b5f950c, 0x3b5a03fe,
+    0x3b5472cb, 0x3b4ee173,
+  0x3b494ff7, 0x3b43be57, 0x3b3e2c91, 0x3b389aa8, 0x3b330899, 0x3b2d7666,
+    0x3b27e40f, 0x3b225193,
+  0x3b1cbef3, 0x3b172c2e, 0x3b119945, 0x3b0c0637, 0x3b067305, 0x3b00dfaf,
+    0x3afb4c34, 0x3af5b894,
+  0x3af024d1, 0x3aea90e9, 0x3ae4fcdc, 0x3adf68ac, 0x3ad9d457, 0x3ad43fdd,
+    0x3aceab40, 0x3ac9167e,
+  0x3ac38198, 0x3abdec8d, 0x3ab8575f, 0x3ab2c20c, 0x3aad2c95, 0x3aa796fa,
+    0x3aa2013a, 0x3a9c6b57,
+  0x3a96d54f, 0x3a913f23, 0x3a8ba8d3, 0x3a86125f, 0x3a807bc7, 0x3a7ae50a,
+    0x3a754e2a, 0x3a6fb726,
+  0x3a6a1ffd, 0x3a6488b1, 0x3a5ef140, 0x3a5959ab, 0x3a53c1f3, 0x3a4e2a16,
+    0x3a489216, 0x3a42f9f2,
+  0x3a3d61a9, 0x3a37c93d, 0x3a3230ad, 0x3a2c97f9, 0x3a26ff21, 0x3a216625,
+    0x3a1bcd05, 0x3a1633c1,
+  0x3a109a5a, 0x3a0b00cf, 0x3a056720, 0x39ffcd4d, 0x39fa3356, 0x39f4993c,
+    0x39eefefe, 0x39e9649c,
+  0x39e3ca17, 0x39de2f6d, 0x39d894a0, 0x39d2f9b0, 0x39cd5e9b, 0x39c7c363,
+    0x39c22808, 0x39bc8c89,
+  0x39b6f0e6, 0x39b1551f, 0x39abb935, 0x39a61d28, 0x39a080f6, 0x399ae4a2,
+    0x39954829, 0x398fab8e,
+  0x398a0ece, 0x398471ec, 0x397ed4e5, 0x397937bc, 0x39739a6e, 0x396dfcfe,
+    0x39685f6a, 0x3962c1b2,
+  0x395d23d7, 0x395785d9, 0x3951e7b8, 0x394c4973, 0x3946ab0a, 0x39410c7f,
+    0x393b6dd0, 0x3935cefd,
+  0x39303008, 0x392a90ef, 0x3924f1b3, 0x391f5254, 0x3919b2d1, 0x3914132b,
+    0x390e7362, 0x3908d376,
+  0x39033367, 0x38fd9334, 0x38f7f2de, 0x38f25266, 0x38ecb1ca, 0x38e7110a,
+    0x38e17028, 0x38dbcf23,
+  0x38d62dfb, 0x38d08caf, 0x38caeb41, 0x38c549af, 0x38bfa7fb, 0x38ba0623,
+    0x38b46429, 0x38aec20b,
+  0x38a91fcb, 0x38a37d67, 0x389ddae1, 0x38983838, 0x3892956c, 0x388cf27d,
+    0x38874f6b, 0x3881ac36,
+  0x387c08de, 0x38766564, 0x3870c1c6, 0x386b1e06, 0x38657a23, 0x385fd61d,
+    0x385a31f5, 0x38548daa,
+  0x384ee93b, 0x384944ab, 0x38439ff7, 0x383dfb21, 0x38385628, 0x3832b10d,
+    0x382d0bce, 0x3827666d,
+  0x3821c0ea, 0x381c1b44, 0x3816757b, 0x3810cf90, 0x380b2982, 0x38058351,
+    0x37ffdcfe, 0x37fa3688,
+  0x37f48ff0, 0x37eee936, 0x37e94259, 0x37e39b59, 0x37ddf437, 0x37d84cf2,
+    0x37d2a58b, 0x37ccfe02,
+  0x37c75656, 0x37c1ae87, 0x37bc0697, 0x37b65e84, 0x37b0b64e, 0x37ab0df6,
+    0x37a5657c, 0x379fbce0,
+  0x379a1421, 0x37946b40, 0x378ec23d, 0x37891917, 0x37836fcf, 0x377dc665,
+    0x37781cd9, 0x3772732a,
+  0x376cc959, 0x37671f66, 0x37617551, 0x375bcb1a, 0x375620c1, 0x37507645,
+    0x374acba7, 0x374520e7,
+  0x373f7606, 0x3739cb02, 0x37341fdc, 0x372e7493, 0x3728c929, 0x37231d9d,
+    0x371d71ef, 0x3717c61f,
+  0x37121a2d, 0x370c6e19, 0x3706c1e2, 0x3701158a, 0x36fb6910, 0x36f5bc75,
+    0x36f00fb7, 0x36ea62d7,
+  0x36e4b5d6, 0x36df08b2, 0x36d95b6d, 0x36d3ae06, 0x36ce007d, 0x36c852d2,
+    0x36c2a506, 0x36bcf718,
+  0x36b74908, 0x36b19ad6, 0x36abec82, 0x36a63e0d, 0x36a08f76, 0x369ae0bd,
+    0x369531e3, 0x368f82e7,
+  0x3689d3c9, 0x3684248a, 0x367e7529, 0x3678c5a7, 0x36731602, 0x366d663d,
+    0x3667b655, 0x3662064c,
+  0x365c5622, 0x3656a5d6, 0x3650f569, 0x364b44da, 0x36459429, 0x363fe357,
+    0x363a3264, 0x3634814f,
+  0x362ed019, 0x36291ec1, 0x36236d48, 0x361dbbad, 0x361809f1, 0x36125814,
+    0x360ca615, 0x3606f3f5,
+  0x360141b4, 0x35fb8f52, 0x35f5dcce, 0x35f02a28, 0x35ea7762, 0x35e4c47a,
+    0x35df1171, 0x35d95e47,
+  0x35d3aafc, 0x35cdf78f, 0x35c84401, 0x35c29052, 0x35bcdc82, 0x35b72891,
+    0x35b1747e, 0x35abc04b,
+  0x35a60bf6, 0x35a05781, 0x359aa2ea, 0x3594ee32, 0x358f3959, 0x3589845f,
+    0x3583cf44, 0x357e1a08,
+  0x357864ab, 0x3572af2d, 0x356cf98e, 0x356743ce, 0x35618ded, 0x355bd7eb,
+    0x355621c9, 0x35506b85,
+  0x354ab520, 0x3544fe9b, 0x353f47f5, 0x3539912e, 0x3533da46, 0x352e233d,
+    0x35286c14, 0x3522b4c9,
+  0x351cfd5e, 0x351745d2, 0x35118e26, 0x350bd658, 0x35061e6a, 0x3500665c,
+    0x34faae2c, 0x34f4f5dc,
+  0x34ef3d6b, 0x34e984da, 0x34e3cc28, 0x34de1355, 0x34d85a62, 0x34d2a14e,
+    0x34cce819, 0x34c72ec4,
+  0x34c1754e, 0x34bbbbb8, 0x34b60202, 0x34b0482a, 0x34aa8e33, 0x34a4d41a,
+    0x349f19e2, 0x34995f88,
+  0x3493a50f, 0x348dea75, 0x34882fba, 0x348274e0, 0x347cb9e4, 0x3476fec9,
+    0x3471438d, 0x346b8830,
+  0x3465ccb4, 0x34601117, 0x345a5559, 0x3454997c, 0x344edd7e, 0x34492160,
+    0x34436521, 0x343da8c3,
+  0x3437ec44, 0x34322fa5, 0x342c72e6, 0x3426b606, 0x3420f907, 0x341b3be7,
+    0x34157ea7, 0x340fc147,
+  0x340a03c7, 0x34044626, 0x33fe8866, 0x33f8ca86, 0x33f30c85, 0x33ed4e65,
+    0x33e79024, 0x33e1d1c4,
+  0x33dc1343, 0x33d654a2, 0x33d095e2, 0x33cad701, 0x33c51801, 0x33bf58e1,
+    0x33b999a0, 0x33b3da40,
+  0x33ae1ac0, 0x33a85b20, 0x33a29b60, 0x339cdb81, 0x33971b81, 0x33915b62,
+    0x338b9b22, 0x3385dac4,
+  0x33801a45, 0x337a59a6, 0x337498e8, 0x336ed80a, 0x3369170c, 0x336355ef,
+    0x335d94b2, 0x3357d355,
+  0x335211d8, 0x334c503c, 0x33468e80, 0x3340cca5, 0x333b0aaa, 0x3335488f,
+    0x332f8655, 0x3329c3fb,
+  0x33240182, 0x331e3ee9, 0x33187c31, 0x3312b959, 0x330cf661, 0x3307334a,
+    0x33017014, 0x32fbacbe,
+  0x32f5e948, 0x32f025b4, 0x32ea61ff, 0x32e49e2c, 0x32deda39, 0x32d91626,
+    0x32d351f5, 0x32cd8da4,
+  0x32c7c933, 0x32c204a3, 0x32bc3ff4, 0x32b67b26, 0x32b0b638, 0x32aaf12b,
+    0x32a52bff, 0x329f66b4,
+  0x3299a149, 0x3293dbbf, 0x328e1616, 0x3288504e, 0x32828a67, 0x327cc460,
+    0x3276fe3a, 0x327137f6,
+  0x326b7192, 0x3265ab0f, 0x325fe46c, 0x325a1dab, 0x325456cb, 0x324e8fcc,
+    0x3248c8ad, 0x32430170,
+  0x323d3a14, 0x32377298, 0x3231aafe, 0x322be345, 0x32261b6c, 0x32205375,
+    0x321a8b5f, 0x3214c32a,
+  0x320efad6, 0x32093263, 0x320369d2, 0x31fda121, 0x31f7d852, 0x31f20f64,
+    0x31ec4657, 0x31e67d2b,
+  0x31e0b3e0, 0x31daea77, 0x31d520ef, 0x31cf5748, 0x31c98d83, 0x31c3c39e,
+    0x31bdf99b, 0x31b82f7a,
+  0x31b2653a, 0x31ac9adb, 0x31a6d05d, 0x31a105c1, 0x319b3b06, 0x3195702d,
+    0x318fa535, 0x3189da1e,
+  0x31840ee9, 0x317e4395, 0x31787823, 0x3172ac92, 0x316ce0e3, 0x31671515,
+    0x31614929, 0x315b7d1e,
+  0x3155b0f5, 0x314fe4ae, 0x314a1848, 0x31444bc3, 0x313e7f21, 0x3138b260,
+    0x3132e580, 0x312d1882,
+  0x31274b66, 0x31217e2c, 0x311bb0d3, 0x3115e35c, 0x311015c6, 0x310a4813,
+    0x31047a41, 0x30feac51,
+  0x30f8de42, 0x30f31016, 0x30ed41cb, 0x30e77362, 0x30e1a4db, 0x30dbd636,
+    0x30d60772, 0x30d03891,
+  0x30ca6991, 0x30c49a74, 0x30becb38, 0x30b8fbde, 0x30b32c66, 0x30ad5cd0,
+    0x30a78d1c, 0x30a1bd4a,
+  0x309bed5a, 0x30961d4c, 0x30904d20, 0x308a7cd6, 0x3084ac6e, 0x307edbe9,
+    0x30790b45, 0x30733a83,
+  0x306d69a4, 0x306798a7, 0x3061c78b, 0x305bf652, 0x305624fb, 0x30505387,
+    0x304a81f4, 0x3044b044,
+  0x303ede76, 0x30390c8a, 0x30333a80, 0x302d6859, 0x30279614, 0x3021c3b1,
+    0x301bf131, 0x30161e93,
+  0x30104bd7, 0x300a78fe, 0x3004a607, 0x2ffed2f2, 0x2ff8ffc0, 0x2ff32c70,
+    0x2fed5902, 0x2fe78577,
+  0x2fe1b1cf, 0x2fdbde09, 0x2fd60a25, 0x2fd03624, 0x2fca6206, 0x2fc48dc9,
+    0x2fbeb970, 0x2fb8e4f9,
+  0x2fb31064, 0x2fad3bb3, 0x2fa766e3, 0x2fa191f7, 0x2f9bbced, 0x2f95e7c5,
+    0x2f901280, 0x2f8a3d1e,
+  0x2f84679f, 0x2f7e9202, 0x2f78bc48, 0x2f72e671, 0x2f6d107c, 0x2f673a6a,
+    0x2f61643b, 0x2f5b8def,
+  0x2f55b785, 0x2f4fe0ff, 0x2f4a0a5b, 0x2f44339a, 0x2f3e5cbb, 0x2f3885c0,
+    0x2f32aea8, 0x2f2cd772,
+  0x2f27001f, 0x2f2128af, 0x2f1b5122, 0x2f157979, 0x2f0fa1b2, 0x2f09c9ce,
+    0x2f03f1cd, 0x2efe19ae,
+  0x2ef84173, 0x2ef2691b, 0x2eec90a7, 0x2ee6b815, 0x2ee0df66, 0x2edb069a,
+    0x2ed52db1, 0x2ecf54ac,
+  0x2ec97b89, 0x2ec3a24a, 0x2ebdc8ee, 0x2eb7ef75, 0x2eb215df, 0x2eac3c2d,
+    0x2ea6625d, 0x2ea08871,
+  0x2e9aae68, 0x2e94d443, 0x2e8efa00, 0x2e891fa1, 0x2e834525, 0x2e7d6a8d,
+    0x2e778fd8, 0x2e71b506,
+  0x2e6bda17, 0x2e65ff0c, 0x2e6023e5, 0x2e5a48a0, 0x2e546d3f, 0x2e4e91c2,
+    0x2e48b628, 0x2e42da71,
+  0x2e3cfe9e, 0x2e3722ae, 0x2e3146a2, 0x2e2b6a79, 0x2e258e34, 0x2e1fb1d3,
+    0x2e19d554, 0x2e13f8ba,
+  0x2e0e1c03, 0x2e083f30, 0x2e026240, 0x2dfc8534, 0x2df6a80b, 0x2df0cac6,
+    0x2deaed65, 0x2de50fe8,
+  0x2ddf324e, 0x2dd95498, 0x2dd376c5, 0x2dcd98d7, 0x2dc7bacc, 0x2dc1dca4,
+    0x2dbbfe61, 0x2db62001,
+  0x2db04186, 0x2daa62ee, 0x2da4843a, 0x2d9ea569, 0x2d98c67d, 0x2d92e774,
+    0x2d8d084f, 0x2d87290f,
+  0x2d8149b2, 0x2d7b6a39, 0x2d758aa4, 0x2d6faaf3, 0x2d69cb26, 0x2d63eb3d,
+    0x2d5e0b38, 0x2d582b17,
+  0x2d524ada, 0x2d4c6a81, 0x2d468a0c, 0x2d40a97b, 0x2d3ac8ce, 0x2d34e805,
+    0x2d2f0721, 0x2d292620,
+  0x2d234504, 0x2d1d63cc, 0x2d178278, 0x2d11a108, 0x2d0bbf7d, 0x2d05ddd5,
+    0x2cfffc12, 0x2cfa1a33,
+  0x2cf43839, 0x2cee5622, 0x2ce873f0, 0x2ce291a2, 0x2cdcaf39, 0x2cd6ccb4,
+    0x2cd0ea13, 0x2ccb0756,
+  0x2cc5247e, 0x2cbf418b, 0x2cb95e7b, 0x2cb37b51, 0x2cad980a, 0x2ca7b4a8,
+    0x2ca1d12a, 0x2c9bed91,
+  0x2c9609dd, 0x2c90260d, 0x2c8a4221, 0x2c845e1a, 0x2c7e79f7, 0x2c7895b9,
+    0x2c72b160, 0x2c6ccceb,
+  0x2c66e85b, 0x2c6103af, 0x2c5b1ee8, 0x2c553a06, 0x2c4f5508, 0x2c496fef,
+    0x2c438abb, 0x2c3da56b,
+  0x2c37c000, 0x2c31da7a, 0x2c2bf4d8, 0x2c260f1c, 0x2c202944, 0x2c1a4351,
+    0x2c145d42, 0x2c0e7719,
+  0x2c0890d4, 0x2c02aa74, 0x2bfcc3f9, 0x2bf6dd63, 0x2bf0f6b1, 0x2beb0fe5,
+    0x2be528fd, 0x2bdf41fb,
+  0x2bd95add, 0x2bd373a4, 0x2bcd8c51, 0x2bc7a4e2, 0x2bc1bd58, 0x2bbbd5b3,
+    0x2bb5edf4, 0x2bb00619,
+  0x2baa1e23, 0x2ba43613, 0x2b9e4de7, 0x2b9865a1, 0x2b927d3f, 0x2b8c94c3,
+    0x2b86ac2c, 0x2b80c37a,
+  0x2b7adaae, 0x2b74f1c6, 0x2b6f08c4, 0x2b691fa6, 0x2b63366f, 0x2b5d4d1c,
+    0x2b5763ae, 0x2b517a26,
+  0x2b4b9083, 0x2b45a6c6, 0x2b3fbced, 0x2b39d2fa, 0x2b33e8ed, 0x2b2dfec5,
+    0x2b281482, 0x2b222a24,
+  0x2b1c3fac, 0x2b165519, 0x2b106a6c, 0x2b0a7fa4, 0x2b0494c2, 0x2afea9c5,
+    0x2af8bead, 0x2af2d37b,
+  0x2aece82f, 0x2ae6fcc8, 0x2ae11146, 0x2adb25aa, 0x2ad539f4, 0x2acf4e23,
+    0x2ac96238, 0x2ac37633,
+  0x2abd8a13, 0x2ab79dd8, 0x2ab1b184, 0x2aabc515, 0x2aa5d88b, 0x2a9febe8,
+    0x2a99ff2a, 0x2a941252,
+  0x2a8e255f, 0x2a883853, 0x2a824b2c, 0x2a7c5deb, 0x2a76708f, 0x2a70831a,
+    0x2a6a958a, 0x2a64a7e0,
+  0x2a5eba1c, 0x2a58cc3e, 0x2a52de46, 0x2a4cf033, 0x2a470207, 0x2a4113c0,
+    0x2a3b2560, 0x2a3536e5,
+  0x2a2f4850, 0x2a2959a1, 0x2a236ad9, 0x2a1d7bf6, 0x2a178cf9, 0x2a119de2,
+    0x2a0baeb2, 0x2a05bf67,
+  0x29ffd003, 0x29f9e084, 0x29f3f0ec, 0x29ee013a, 0x29e8116e, 0x29e22188,
+    0x29dc3188, 0x29d6416f,
+  0x29d0513b, 0x29ca60ee, 0x29c47087, 0x29be8007, 0x29b88f6c, 0x29b29eb8,
+    0x29acadea, 0x29a6bd02,
+  0x29a0cc01, 0x299adae6, 0x2994e9b1, 0x298ef863, 0x298906fb, 0x2983157a,
+    0x297d23df, 0x2977322a,
+  0x2971405b, 0x296b4e74, 0x29655c72, 0x295f6a57, 0x29597823, 0x295385d5,
+    0x294d936d, 0x2947a0ec,
+  0x2941ae52, 0x293bbb9e, 0x2935c8d1, 0x292fd5ea, 0x2929e2ea, 0x2923efd0,
+    0x291dfc9d, 0x29180951,
+  0x291215eb, 0x290c226c, 0x29062ed4, 0x29003b23, 0x28fa4758, 0x28f45374,
+    0x28ee5f76, 0x28e86b5f,
+  0x28e27730, 0x28dc82e6, 0x28d68e84, 0x28d09a09, 0x28caa574, 0x28c4b0c6,
+    0x28bebbff, 0x28b8c71f,
+  0x28b2d226, 0x28acdd13, 0x28a6e7e8, 0x28a0f2a3, 0x289afd46, 0x289507cf,
+    0x288f123f, 0x28891c97,
+  0x288326d5, 0x287d30fa, 0x28773b07, 0x287144fa, 0x286b4ed5, 0x28655896,
+    0x285f623f, 0x28596bce,
+  0x28537545, 0x284d7ea3, 0x284787e8, 0x28419114, 0x283b9a28, 0x2835a322,
+    0x282fac04, 0x2829b4cd,
+  0x2823bd7d, 0x281dc615, 0x2817ce93, 0x2811d6f9, 0x280bdf46, 0x2805e77b,
+    0x27ffef97, 0x27f9f79a,
+  0x27f3ff85, 0x27ee0756, 0x27e80f10, 0x27e216b0, 0x27dc1e38, 0x27d625a8,
+    0x27d02cff, 0x27ca343d,
+  0x27c43b63, 0x27be4270, 0x27b84965, 0x27b25041, 0x27ac5705, 0x27a65db0,
+    0x27a06443, 0x279a6abd,
+  0x2794711f, 0x278e7768, 0x27887d99, 0x278283b2, 0x277c89b3, 0x27768f9b,
+    0x2770956a, 0x276a9b21,
+  0x2764a0c0, 0x275ea647, 0x2758abb6, 0x2752b10c, 0x274cb64a, 0x2746bb6f,
+    0x2740c07d, 0x273ac572,
+  0x2734ca4f, 0x272ecf14, 0x2728d3c0, 0x2722d855, 0x271cdcd1, 0x2716e136,
+    0x2710e582, 0x270ae9b6,
+  0x2704edd2, 0x26fef1d5, 0x26f8f5c1, 0x26f2f995, 0x26ecfd51, 0x26e700f5,
+    0x26e10480, 0x26db07f4,
+  0x26d50b50, 0x26cf0e94, 0x26c911c0, 0x26c314d4, 0x26bd17d0, 0x26b71ab4,
+    0x26b11d80, 0x26ab2034,
+  0x26a522d1, 0x269f2556, 0x269927c3, 0x26932a18, 0x268d2c55, 0x26872e7b,
+    0x26813088, 0x267b327e,
+  0x2675345d, 0x266f3623, 0x266937d2, 0x26633969, 0x265d3ae9, 0x26573c50,
+    0x26513da1, 0x264b3ed9,
+  0x26453ffa, 0x263f4103, 0x263941f5, 0x263342cf, 0x262d4392, 0x2627443d,
+    0x262144d0, 0x261b454c,
+  0x261545b0, 0x260f45fd, 0x26094633, 0x26034651, 0x25fd4657, 0x25f74646,
+    0x25f1461e, 0x25eb45de,
+  0x25e54587, 0x25df4519, 0x25d94493, 0x25d343f6, 0x25cd4341, 0x25c74276,
+    0x25c14192, 0x25bb4098,
+  0x25b53f86, 0x25af3e5d, 0x25a93d1d, 0x25a33bc6, 0x259d3a57, 0x259738d1,
+    0x25913734, 0x258b3580,
+  0x258533b5, 0x257f31d2, 0x25792fd8, 0x25732dc8, 0x256d2ba0, 0x25672961,
+    0x2561270b, 0x255b249e,
+  0x2555221a, 0x254f1f7e, 0x25491ccc, 0x25431a03, 0x253d1723, 0x2537142c,
+    0x2531111e, 0x252b0df9,
+  0x25250abd, 0x251f076a, 0x25190400, 0x25130080, 0x250cfce8, 0x2506f93a,
+    0x2500f574, 0x24faf198,
+  0x24f4eda6, 0x24eee99c, 0x24e8e57c, 0x24e2e144, 0x24dcdcf6, 0x24d6d892,
+    0x24d0d416, 0x24cacf84,
+  0x24c4cadb, 0x24bec61c, 0x24b8c146, 0x24b2bc59, 0x24acb756, 0x24a6b23b,
+    0x24a0ad0b, 0x249aa7c4,
+  0x2494a266, 0x248e9cf1, 0x24889766, 0x248291c5, 0x247c8c0d, 0x2476863e,
+    0x24708059, 0x246a7a5e,
+  0x2464744c, 0x245e6e23, 0x245867e4, 0x2452618f, 0x244c5b24, 0x244654a1,
+    0x24404e09, 0x243a475a,
+  0x24344095, 0x242e39ba, 0x242832c8, 0x24222bc0, 0x241c24a1, 0x24161d6d,
+    0x24101622, 0x240a0ec1,
+  0x24040749, 0x23fdffbc, 0x23f7f818, 0x23f1f05e, 0x23ebe88e, 0x23e5e0a7,
+    0x23dfd8ab, 0x23d9d098,
+  0x23d3c86f, 0x23cdc031, 0x23c7b7dc, 0x23c1af71, 0x23bba6f0, 0x23b59e59,
+    0x23af95ac, 0x23a98ce8,
+  0x23a3840f, 0x239d7b20, 0x2397721b, 0x23916900, 0x238b5fcf, 0x23855688,
+    0x237f4d2b, 0x237943b9,
+  0x23733a30, 0x236d3092, 0x236726dd, 0x23611d13, 0x235b1333, 0x2355093e,
+    0x234eff32, 0x2348f511,
+  0x2342eada, 0x233ce08d, 0x2336d62a, 0x2330cbb2, 0x232ac124, 0x2324b680,
+    0x231eabc7, 0x2318a0f8,
+  0x23129613, 0x230c8b19, 0x23068009, 0x230074e3, 0x22fa69a8, 0x22f45e57,
+    0x22ee52f1, 0x22e84775,
+  0x22e23be4, 0x22dc303d, 0x22d62480, 0x22d018ae, 0x22ca0cc7, 0x22c400ca,
+    0x22bdf4b8, 0x22b7e890,
+  0x22b1dc53, 0x22abd001, 0x22a5c399, 0x229fb71b, 0x2299aa89, 0x22939de1,
+    0x228d9123, 0x22878451,
+  0x22817769, 0x227b6a6c, 0x22755d59, 0x226f5032, 0x226942f5, 0x226335a2,
+    0x225d283b, 0x22571abe,
+  0x22510d2d, 0x224aff86, 0x2244f1c9, 0x223ee3f8, 0x2238d612, 0x2232c816,
+    0x222cba06, 0x2226abe0,
+  0x22209da5, 0x221a8f56, 0x221480f1, 0x220e7277, 0x220863e8, 0x22025544,
+    0x21fc468b, 0x21f637be,
+  0x21f028db, 0x21ea19e3, 0x21e40ad7, 0x21ddfbb5, 0x21d7ec7f, 0x21d1dd34,
+    0x21cbcdd3, 0x21c5be5e,
+  0x21bfaed5, 0x21b99f36, 0x21b38f83, 0x21ad7fba, 0x21a76fdd, 0x21a15fec,
+    0x219b4fe5, 0x21953fca,
+  0x218f2f9a, 0x21891f55, 0x21830efc, 0x217cfe8e, 0x2176ee0b, 0x2170dd74,
+    0x216accc8, 0x2164bc08,
+  0x215eab33, 0x21589a49, 0x2152894b, 0x214c7838, 0x21466710, 0x214055d4,
+    0x213a4484, 0x2134331f,
+  0x212e21a6, 0x21281018, 0x2121fe76, 0x211becbf, 0x2115daf4, 0x210fc914,
+    0x2109b720, 0x2103a518,
+  0x20fd92fb, 0x20f780ca, 0x20f16e84, 0x20eb5c2b, 0x20e549bd, 0x20df373a,
+    0x20d924a4, 0x20d311f9,
+  0x20ccff3a, 0x20c6ec66, 0x20c0d97f, 0x20bac683, 0x20b4b373, 0x20aea04f,
+    0x20a88d17, 0x20a279ca,
+  0x209c666a, 0x209652f5, 0x20903f6c, 0x208a2bcf, 0x2084181e, 0x207e0459,
+    0x2077f080, 0x2071dc93,
+  0x206bc892, 0x2065b47d, 0x205fa054, 0x20598c17, 0x205377c6, 0x204d6361,
+    0x20474ee8, 0x20413a5b,
+  0x203b25bb, 0x20351106, 0x202efc3e, 0x2028e761, 0x2022d271, 0x201cbd6d,
+    0x2016a856, 0x2010932a,
+  0x200a7deb, 0x20046898, 0x1ffe5331, 0x1ff83db6, 0x1ff22828, 0x1fec1286,
+    0x1fe5fcd0, 0x1fdfe707,
+  0x1fd9d12a, 0x1fd3bb39, 0x1fcda535, 0x1fc78f1d, 0x1fc178f1, 0x1fbb62b2,
+    0x1fb54c60, 0x1faf35f9,
+  0x1fa91f80, 0x1fa308f2, 0x1f9cf252, 0x1f96db9d, 0x1f90c4d5, 0x1f8aadfa,
+    0x1f84970b, 0x1f7e8009,
+  0x1f7868f4, 0x1f7251ca, 0x1f6c3a8e, 0x1f66233e, 0x1f600bdb, 0x1f59f465,
+    0x1f53dcdb, 0x1f4dc53d,
+  0x1f47ad8d, 0x1f4195c9, 0x1f3b7df2, 0x1f356608, 0x1f2f4e0a, 0x1f2935f9,
+    0x1f231dd5, 0x1f1d059e,
+  0x1f16ed54, 0x1f10d4f6, 0x1f0abc85, 0x1f04a401, 0x1efe8b6a, 0x1ef872c0,
+    0x1ef25a03, 0x1eec4132,
+  0x1ee6284f, 0x1ee00f58, 0x1ed9f64f, 0x1ed3dd32, 0x1ecdc402, 0x1ec7aac0,
+    0x1ec1916a, 0x1ebb7802,
+  0x1eb55e86, 0x1eaf44f8, 0x1ea92b56, 0x1ea311a2, 0x1e9cf7db, 0x1e96de01,
+    0x1e90c414, 0x1e8aaa14,
+  0x1e849001, 0x1e7e75dc, 0x1e785ba3, 0x1e724158, 0x1e6c26fa, 0x1e660c8a,
+    0x1e5ff206, 0x1e59d770,
+  0x1e53bcc7, 0x1e4da20c, 0x1e47873d, 0x1e416c5d, 0x1e3b5169, 0x1e353663,
+    0x1e2f1b4a, 0x1e29001e,
+  0x1e22e4e0, 0x1e1cc990, 0x1e16ae2c, 0x1e1092b6, 0x1e0a772e, 0x1e045b93,
+    0x1dfe3fe6, 0x1df82426,
+  0x1df20853, 0x1debec6f, 0x1de5d077, 0x1ddfb46e, 0x1dd99851, 0x1dd37c23,
+    0x1dcd5fe2, 0x1dc7438e,
+  0x1dc12729, 0x1dbb0ab0, 0x1db4ee26, 0x1daed189, 0x1da8b4da, 0x1da29819,
+    0x1d9c7b45, 0x1d965e5f,
+  0x1d904167, 0x1d8a245c, 0x1d840740, 0x1d7dea11, 0x1d77ccd0, 0x1d71af7d,
+    0x1d6b9217, 0x1d6574a0,
+  0x1d5f5716, 0x1d59397a, 0x1d531bcc, 0x1d4cfe0d, 0x1d46e03a, 0x1d40c256,
+    0x1d3aa460, 0x1d348658,
+  0x1d2e683e, 0x1d284a12, 0x1d222bd3, 0x1d1c0d83, 0x1d15ef21, 0x1d0fd0ad,
+    0x1d09b227, 0x1d03938f,
+  0x1cfd74e5, 0x1cf7562a, 0x1cf1375c, 0x1ceb187d, 0x1ce4f98c, 0x1cdeda89,
+    0x1cd8bb74, 0x1cd29c4d,
+  0x1ccc7d15, 0x1cc65dca, 0x1cc03e6e, 0x1cba1f01, 0x1cb3ff81, 0x1caddff0,
+    0x1ca7c04d, 0x1ca1a099,
+  0x1c9b80d3, 0x1c9560fb, 0x1c8f4112, 0x1c892117, 0x1c83010a, 0x1c7ce0ec,
+    0x1c76c0bc, 0x1c70a07b,
+  0x1c6a8028, 0x1c645fc3, 0x1c5e3f4d, 0x1c581ec6, 0x1c51fe2d, 0x1c4bdd83,
+    0x1c45bcc7, 0x1c3f9bf9,
+  0x1c397b1b, 0x1c335a2b, 0x1c2d3929, 0x1c271816, 0x1c20f6f2, 0x1c1ad5bc,
+    0x1c14b475, 0x1c0e931d,
+  0x1c0871b4, 0x1c025039, 0x1bfc2ead, 0x1bf60d0f, 0x1befeb60, 0x1be9c9a1,
+    0x1be3a7cf, 0x1bdd85ed,
+  0x1bd763fa, 0x1bd141f5, 0x1bcb1fdf, 0x1bc4fdb8, 0x1bbedb80, 0x1bb8b937,
+    0x1bb296dc, 0x1bac7471,
+  0x1ba651f5, 0x1ba02f67, 0x1b9a0cc8, 0x1b93ea19, 0x1b8dc758, 0x1b87a487,
+    0x1b8181a4, 0x1b7b5eb0,
+  0x1b753bac, 0x1b6f1897, 0x1b68f570, 0x1b62d239, 0x1b5caef1, 0x1b568b98,
+    0x1b50682e, 0x1b4a44b3,
+  0x1b442127, 0x1b3dfd8b, 0x1b37d9de, 0x1b31b620, 0x1b2b9251, 0x1b256e71,
+    0x1b1f4a81, 0x1b192680,
+  0x1b13026e, 0x1b0cde4c, 0x1b06ba19, 0x1b0095d5, 0x1afa7180, 0x1af44d1b,
+    0x1aee28a6, 0x1ae8041f,
+  0x1ae1df88, 0x1adbbae1, 0x1ad59629, 0x1acf7160, 0x1ac94c87, 0x1ac3279d,
+    0x1abd02a3, 0x1ab6dd98,
+  0x1ab0b87d, 0x1aaa9352, 0x1aa46e16, 0x1a9e48c9, 0x1a98236c, 0x1a91fdff,
+    0x1a8bd881, 0x1a85b2f3,
+  0x1a7f8d54, 0x1a7967a6, 0x1a7341e6, 0x1a6d1c17, 0x1a66f637, 0x1a60d047,
+    0x1a5aaa47, 0x1a548436,
+  0x1a4e5e15, 0x1a4837e4, 0x1a4211a3, 0x1a3beb52, 0x1a35c4f0, 0x1a2f9e7e,
+    0x1a2977fc, 0x1a23516a,
+  0x1a1d2ac8, 0x1a170416, 0x1a10dd53, 0x1a0ab681, 0x1a048f9e, 0x19fe68ac,
+    0x19f841a9, 0x19f21a96,
+  0x19ebf374, 0x19e5cc41, 0x19dfa4fe, 0x19d97dac, 0x19d35649, 0x19cd2ed7,
+    0x19c70754, 0x19c0dfc2,
+  0x19bab820, 0x19b4906e, 0x19ae68ac, 0x19a840da, 0x19a218f9, 0x199bf107,
+    0x1995c906, 0x198fa0f5,
+  0x198978d4, 0x198350a4, 0x197d2864, 0x19770014, 0x1970d7b4, 0x196aaf45,
+    0x196486c6, 0x195e5e37,
+  0x19583599, 0x19520ceb, 0x194be42d, 0x1945bb60, 0x193f9283, 0x19396997,
+    0x1933409b, 0x192d178f,
+  0x1926ee74, 0x1920c54a, 0x191a9c10, 0x191472c6, 0x190e496d, 0x19082005,
+    0x1901f68d, 0x18fbcd06,
+  0x18f5a36f, 0x18ef79c9, 0x18e95014, 0x18e3264f, 0x18dcfc7b, 0x18d6d297,
+    0x18d0a8a4, 0x18ca7ea2,
+  0x18c45491, 0x18be2a70, 0x18b80040, 0x18b1d601, 0x18ababb2, 0x18a58154,
+    0x189f56e8, 0x18992c6b,
+  0x189301e0, 0x188cd746, 0x1886ac9c, 0x188081e4, 0x187a571c, 0x18742c45,
+    0x186e015f, 0x1867d66a,
+  0x1861ab66, 0x185b8053, 0x18555530, 0x184f29ff, 0x1848febf, 0x1842d370,
+    0x183ca812, 0x18367ca5,
+  0x18305129, 0x182a259e, 0x1823fa04, 0x181dce5b, 0x1817a2a4, 0x181176dd,
+    0x180b4b08, 0x18051f24,
+  0x17fef331, 0x17f8c72f, 0x17f29b1e, 0x17ec6eff, 0x17e642d1, 0x17e01694,
+    0x17d9ea49, 0x17d3bdee,
+  0x17cd9186, 0x17c7650e, 0x17c13888, 0x17bb0bf3, 0x17b4df4f, 0x17aeb29d,
+    0x17a885dc, 0x17a2590d,
+  0x179c2c2f, 0x1795ff42, 0x178fd247, 0x1789a53d, 0x17837825, 0x177d4afe,
+    0x17771dc9, 0x1770f086,
+  0x176ac333, 0x176495d3, 0x175e6864, 0x17583ae7, 0x17520d5b, 0x174bdfc1,
+    0x1745b218, 0x173f8461,
+  0x1739569c, 0x173328c8, 0x172cfae6, 0x1726ccf6, 0x17209ef8, 0x171a70eb,
+    0x171442d0, 0x170e14a7,
+  0x1707e670, 0x1701b82a, 0x16fb89d6, 0x16f55b74, 0x16ef2d04, 0x16e8fe86,
+    0x16e2cff9, 0x16dca15f,
+  0x16d672b6, 0x16d043ff, 0x16ca153a, 0x16c3e667, 0x16bdb787, 0x16b78898,
+    0x16b1599b, 0x16ab2a90,
+  0x16a4fb77, 0x169ecc50, 0x16989d1b, 0x16926dd8, 0x168c3e87, 0x16860f29,
+    0x167fdfbc, 0x1679b042,
+  0x167380ba, 0x166d5123, 0x1667217f, 0x1660f1ce, 0x165ac20e, 0x16549241,
+    0x164e6266, 0x1648327d,
+  0x16420286, 0x163bd282, 0x1635a270, 0x162f7250, 0x16294222, 0x162311e7,
+    0x161ce19e, 0x1616b148,
+  0x161080e4, 0x160a5072, 0x16041ff3, 0x15fdef66, 0x15f7becc, 0x15f18e24,
+    0x15eb5d6e, 0x15e52cab,
+  0x15defbdb, 0x15d8cafd, 0x15d29a11, 0x15cc6918, 0x15c63812, 0x15c006fe,
+    0x15b9d5dd, 0x15b3a4ae,
+  0x15ad7372, 0x15a74228, 0x15a110d2, 0x159adf6e, 0x1594adfc, 0x158e7c7d,
+    0x15884af1, 0x15821958,
+  0x157be7b1, 0x1575b5fe, 0x156f843c, 0x1569526e, 0x15632093, 0x155ceeaa,
+    0x1556bcb4, 0x15508ab1,
+  0x154a58a1, 0x15442683, 0x153df459, 0x1537c221, 0x15318fdd, 0x152b5d8b,
+    0x15252b2c, 0x151ef8c0,
+  0x1518c648, 0x151293c2, 0x150c612f, 0x15062e8f, 0x14fffbe2, 0x14f9c928,
+    0x14f39662, 0x14ed638e,
+  0x14e730ae, 0x14e0fdc0, 0x14dacac6, 0x14d497bf, 0x14ce64ab, 0x14c8318a,
+    0x14c1fe5c, 0x14bbcb22,
+  0x14b597da, 0x14af6486, 0x14a93125, 0x14a2fdb8, 0x149cca3e, 0x149696b7,
+    0x14906323, 0x148a2f82,
+  0x1483fbd5, 0x147dc81c, 0x14779455, 0x14716082, 0x146b2ca3, 0x1464f8b7,
+    0x145ec4be, 0x145890b9,
+  0x14525ca7, 0x144c2888, 0x1445f45d, 0x143fc026, 0x14398be2, 0x14335792,
+    0x142d2335, 0x1426eecb,
+  0x1420ba56, 0x141a85d3, 0x14145145, 0x140e1caa, 0x1407e803, 0x1401b34f,
+    0x13fb7e8f, 0x13f549c3,
+  0x13ef14ea, 0x13e8e005, 0x13e2ab14, 0x13dc7616, 0x13d6410d, 0x13d00bf7,
+    0x13c9d6d4, 0x13c3a1a6,
+  0x13bd6c6b, 0x13b73725, 0x13b101d2, 0x13aacc73, 0x13a49707, 0x139e6190,
+    0x13982c0d, 0x1391f67d,
+  0x138bc0e1, 0x13858b3a, 0x137f5586, 0x13791fc6, 0x1372e9fb, 0x136cb423,
+    0x13667e3f, 0x13604850,
+  0x135a1254, 0x1353dc4c, 0x134da639, 0x1347701a, 0x134139ee, 0x133b03b7,
+    0x1334cd74, 0x132e9725,
+  0x132860ca, 0x13222a64, 0x131bf3f2, 0x1315bd73, 0x130f86ea, 0x13095054,
+    0x130319b3, 0x12fce305,
+  0x12f6ac4d, 0x12f07588, 0x12ea3eb8, 0x12e407dc, 0x12ddd0f4, 0x12d79a01,
+    0x12d16303, 0x12cb2bf8,
+  0x12c4f4e2, 0x12bebdc1, 0x12b88693, 0x12b24f5b, 0x12ac1817, 0x12a5e0c7,
+    0x129fa96c, 0x12997205,
+  0x12933a93, 0x128d0315, 0x1286cb8c, 0x128093f7, 0x127a5c57, 0x127424ac,
+    0x126decf5, 0x1267b533,
+  0x12617d66, 0x125b458d, 0x12550da9, 0x124ed5ba, 0x12489dbf, 0x124265b9,
+    0x123c2da8, 0x1235f58b,
+  0x122fbd63, 0x12298530, 0x12234cf2, 0x121d14a9, 0x1216dc54, 0x1210a3f5,
+    0x120a6b8a, 0x12043314,
+  0x11fdfa93, 0x11f7c207, 0x11f18970, 0x11eb50cd, 0x11e51820, 0x11dedf68,
+    0x11d8a6a4, 0x11d26dd6,
+  0x11cc34fc, 0x11c5fc18, 0x11bfc329, 0x11b98a2e, 0x11b35129, 0x11ad1819,
+    0x11a6defe, 0x11a0a5d8,
+  0x119a6ca7, 0x1194336b, 0x118dfa25, 0x1187c0d3, 0x11818777, 0x117b4e10,
+    0x1175149e, 0x116edb22,
+  0x1168a19b, 0x11626809, 0x115c2e6c, 0x1155f4c4, 0x114fbb12, 0x11498156,
+    0x1143478e, 0x113d0dbc,
+  0x1136d3df, 0x113099f8, 0x112a6006, 0x11242609, 0x111dec02, 0x1117b1f0,
+    0x111177d4, 0x110b3dad,
+  0x1105037c, 0x10fec940, 0x10f88efa, 0x10f254a9, 0x10ec1a4e, 0x10e5dfe8,
+    0x10dfa578, 0x10d96afe,
+  0x10d33079, 0x10ccf5ea, 0x10c6bb50, 0x10c080ac, 0x10ba45fe, 0x10b40b45,
+    0x10add082, 0x10a795b5,
+  0x10a15ade, 0x109b1ffc, 0x1094e510, 0x108eaa1a, 0x10886f19, 0x1082340f,
+    0x107bf8fa, 0x1075bddb,
+  0x106f82b2, 0x1069477f, 0x10630c41, 0x105cd0fa, 0x105695a8, 0x10505a4d,
+    0x104a1ee7, 0x1043e377,
+  0x103da7fd, 0x10376c79, 0x103130ec, 0x102af554, 0x1024b9b2, 0x101e7e06,
+    0x10184251, 0x10120691,
+  0x100bcac7, 0x10058ef4, 0xfff5317, 0xff91730, 0xff2db3e, 0xfec9f44,
+    0xfe6633f, 0xfe02730,
+  0xfd9eb18, 0xfd3aef6, 0xfcd72ca, 0xfc73695, 0xfc0fa55, 0xfbabe0c, 0xfb481ba,
+    0xfae455d,
+  0xfa808f7, 0xfa1cc87, 0xf9b900e, 0xf95538b, 0xf8f16fe, 0xf88da68, 0xf829dc8,
+    0xf7c611f,
+  0xf76246c, 0xf6fe7af, 0xf69aae9, 0xf636e1a, 0xf5d3141, 0xf56f45e, 0xf50b773,
+    0xf4a7a7d,
+  0xf443d7e, 0xf3e0076, 0xf37c365, 0xf318649, 0xf2b4925, 0xf250bf7, 0xf1ecec0,
+    0xf189180,
+  0xf125436, 0xf0c16e3, 0xf05d987, 0xeff9c21, 0xef95eb2, 0xef3213a, 0xeece3b9,
+    0xee6a62f,
+  0xee0689b, 0xeda2afe, 0xed3ed58, 0xecdafa9, 0xec771f1, 0xec1342f, 0xebaf665,
+    0xeb4b891,
+  0xeae7ab4, 0xea83ccf, 0xea1fee0, 0xe9bc0e8, 0xe9582e7, 0xe8f44dd, 0xe8906cb,
+    0xe82c8af,
+  0xe7c8a8a, 0xe764c5c, 0xe700e26, 0xe69cfe6, 0xe63919e, 0xe5d534d, 0xe5714f3,
+    0xe50d690,
+  0xe4a9824, 0xe4459af, 0xe3e1b32, 0xe37dcac, 0xe319e1d, 0xe2b5f85, 0xe2520e5,
+    0xe1ee23c,
+  0xe18a38a, 0xe1264cf, 0xe0c260c, 0xe05e740, 0xdffa86b, 0xdf9698e, 0xdf32aa8,
+    0xdecebba,
+  0xde6acc3, 0xde06dc3, 0xdda2ebb, 0xdd3efab, 0xdcdb091, 0xdc77170, 0xdc13245,
+    0xdbaf313,
+  0xdb4b3d7, 0xdae7494, 0xda83548, 0xda1f5f3, 0xd9bb696, 0xd957731, 0xd8f37c3,
+    0xd88f84d,
+  0xd82b8cf, 0xd7c7948, 0xd7639b9, 0xd6ffa22, 0xd69ba82, 0xd637ada, 0xd5d3b2a,
+    0xd56fb71,
+  0xd50bbb1, 0xd4a7be8, 0xd443c17, 0xd3dfc3e, 0xd37bc5c, 0xd317c73, 0xd2b3c81,
+    0xd24fc87,
+  0xd1ebc85, 0xd187c7b, 0xd123c69, 0xd0bfc4f, 0xd05bc2d, 0xcff7c02, 0xcf93bd0,
+    0xcf2fb96,
+  0xcecbb53, 0xce67b09, 0xce03ab7, 0xcd9fa5d, 0xcd3b9fb, 0xccd7991, 0xcc7391f,
+    0xcc0f8a5,
+  0xcbab824, 0xcb4779a, 0xcae3709, 0xca7f670, 0xca1b5cf, 0xc9b7526, 0xc953475,
+    0xc8ef3bd,
+  0xc88b2fd, 0xc827235, 0xc7c3166, 0xc75f08f, 0xc6fafb0, 0xc696ec9, 0xc632ddb,
+    0xc5cece5,
+  0xc56abe8, 0xc506ae3, 0xc4a29d6, 0xc43e8c2, 0xc3da7a6, 0xc376683, 0xc312558,
+    0xc2ae425,
+  0xc24a2eb, 0xc1e61aa, 0xc182061, 0xc11df11, 0xc0b9db9, 0xc055c5a, 0xbff1af3,
+    0xbf8d985,
+  0xbf29810, 0xbec5693, 0xbe6150f, 0xbdfd383, 0xbd991f0, 0xbd35056, 0xbcd0eb5,
+    0xbc6cd0c,
+  0xbc08b5c, 0xbba49a5, 0xbb407e7, 0xbadc621, 0xba78454, 0xba14280, 0xb9b00a5,
+    0xb94bec2,
+  0xb8e7cd9, 0xb883ae8, 0xb81f8f0, 0xb7bb6f2, 0xb7574ec, 0xb6f32df, 0xb68f0cb,
+    0xb62aeaf,
+  0xb5c6c8d, 0xb562a64, 0xb4fe834, 0xb49a5fd, 0xb4363bf, 0xb3d217a, 0xb36df2e,
+    0xb309cdb,
+  0xb2a5a81, 0xb241820, 0xb1dd5b9, 0xb17934b, 0xb1150d5, 0xb0b0e59, 0xb04cbd6,
+    0xafe894d,
+  0xaf846bc, 0xaf20425, 0xaebc187, 0xae57ee2, 0xadf3c37, 0xad8f985, 0xad2b6cc,
+    0xacc740c,
+  0xac63146, 0xabfee79, 0xab9aba6, 0xab368cc, 0xaad25eb, 0xaa6e304, 0xaa0a016,
+    0xa9a5d22,
+  0xa941a27, 0xa8dd725, 0xa87941d, 0xa81510f, 0xa7b0dfa, 0xa74cadf, 0xa6e87bd,
+    0xa684495,
+  0xa620166, 0xa5bbe31, 0xa557af5, 0xa4f37b3, 0xa48f46b, 0xa42b11d, 0xa3c6dc8,
+    0xa362a6d,
+  0xa2fe70b, 0xa29a3a3, 0xa236035, 0xa1d1cc1, 0xa16d946, 0xa1095c6, 0xa0a523f,
+    0xa040eb1,
+  0x9fdcb1e, 0x9f78784, 0x9f143e5, 0x9eb003f, 0x9e4bc93, 0x9de78e1, 0x9d83529,
+    0x9d1f16b,
+  0x9cbada7, 0x9c569dc, 0x9bf260c, 0x9b8e236, 0x9b29e59, 0x9ac5a77, 0x9a6168f,
+    0x99fd2a0,
+  0x9998eac, 0x9934ab2, 0x98d06b2, 0x986c2ac, 0x9807ea1, 0x97a3a8f, 0x973f678,
+    0x96db25a,
+  0x9676e37, 0x9612a0e, 0x95ae5e0, 0x954a1ab, 0x94e5d71, 0x9481931, 0x941d4eb,
+    0x93b90a0,
+  0x9354c4f, 0x92f07f8, 0x928c39b, 0x9227f39, 0x91c3ad2, 0x915f664, 0x90fb1f1,
+    0x9096d79,
+  0x90328fb, 0x8fce477, 0x8f69fee, 0x8f05b5f, 0x8ea16cb, 0x8e3d231, 0x8dd8d92,
+    0x8d748ed,
+  0x8d10443, 0x8cabf93, 0x8c47ade, 0x8be3624, 0x8b7f164, 0x8b1ac9f, 0x8ab67d4,
+    0x8a52304,
+  0x89ede2f, 0x8989955, 0x8925475, 0x88c0f90, 0x885caa5, 0x87f85b5, 0x87940c1,
+    0x872fbc6,
+  0x86cb6c7, 0x86671c2, 0x8602cb9, 0x859e7aa, 0x853a296, 0x84d5d7d, 0x847185e,
+    0x840d33b,
+  0x83a8e12, 0x83448e5, 0x82e03b2, 0x827be7a, 0x821793e, 0x81b33fc, 0x814eeb5,
+    0x80ea969,
+  0x8086419, 0x8021ec3, 0x7fbd968, 0x7f59409, 0x7ef4ea4, 0x7e9093b, 0x7e2c3cd,
+    0x7dc7e5a,
+  0x7d638e2, 0x7cff365, 0x7c9ade4, 0x7c3685d, 0x7bd22d2, 0x7b6dd42, 0x7b097ad,
+    0x7aa5214,
+  0x7a40c76, 0x79dc6d3, 0x797812b, 0x7913b7f, 0x78af5ce, 0x784b019, 0x77e6a5e,
+    0x77824a0,
+  0x771dedc, 0x76b9914, 0x7655347, 0x75f0d76, 0x758c7a1, 0x75281c6, 0x74c3be7,
+    0x745f604,
+  0x73fb01c, 0x7396a30, 0x733243f, 0x72cde4a, 0x7269851, 0x7205253, 0x71a0c50,
+    0x713c64a,
+  0x70d803f, 0x7073a2f, 0x700f41b, 0x6faae03, 0x6f467e7, 0x6ee21c6, 0x6e7dba1,
+    0x6e19578,
+  0x6db4f4a, 0x6d50919, 0x6cec2e3, 0x6c87ca9, 0x6c2366a, 0x6bbf028, 0x6b5a9e1,
+    0x6af6396,
+  0x6a91d47, 0x6a2d6f4, 0x69c909d, 0x6964a42, 0x69003e3, 0x689bd80, 0x6837718,
+    0x67d30ad,
+  0x676ea3d, 0x670a3ca, 0x66a5d53, 0x66416d8, 0x65dd058, 0x65789d5, 0x651434e,
+    0x64afcc3,
+  0x644b634, 0x63e6fa2, 0x638290b, 0x631e271, 0x62b9bd3, 0x6255531, 0x61f0e8b,
+    0x618c7e1,
+  0x6128134, 0x60c3a83, 0x605f3ce, 0x5ffad15, 0x5f96659, 0x5f31f99, 0x5ecd8d6,
+    0x5e6920e,
+  0x5e04b43, 0x5da0475, 0x5d3bda3, 0x5cd76cd, 0x5c72ff4, 0x5c0e917, 0x5baa237,
+    0x5b45b53,
+  0x5ae146b, 0x5a7cd80, 0x5a18692, 0x59b3fa0, 0x594f8aa, 0x58eb1b2, 0x5886ab5,
+    0x58223b6,
+  0x57bdcb3, 0x57595ac, 0x56f4ea2, 0x5690795, 0x562c085, 0x55c7971, 0x556325a,
+    0x54feb3f,
+  0x549a422, 0x5435d01, 0x53d15dd, 0x536ceb5, 0x530878a, 0x52a405d, 0x523f92c,
+    0x51db1f7,
+  0x5176ac0, 0x5112385, 0x50adc48, 0x5049507, 0x4fe4dc3, 0x4f8067c, 0x4f1bf32,
+    0x4eb77e5,
+  0x4e53095, 0x4dee942, 0x4d8a1ec, 0x4d25a93, 0x4cc1337, 0x4c5cbd8, 0x4bf8476,
+    0x4b93d11,
+  0x4b2f5a9, 0x4acae3e, 0x4a666d1, 0x4a01f60, 0x499d7ed, 0x4939077, 0x48d48fe,
+    0x4870182,
+  0x480ba04, 0x47a7282, 0x4742afe, 0x46de377, 0x4679bee, 0x4615461, 0x45b0cd2,
+    0x454c541,
+  0x44e7dac, 0x4483615, 0x441ee7c, 0x43ba6df, 0x4355f40, 0x42f179f, 0x428cffb,
+    0x4228854,
+  0x41c40ab, 0x415f8ff, 0x40fb151, 0x40969a0, 0x40321ed, 0x3fcda37, 0x3f6927f,
+    0x3f04ac4,
+  0x3ea0307, 0x3e3bb48, 0x3dd7386, 0x3d72bc2, 0x3d0e3fb, 0x3ca9c32, 0x3c45467,
+    0x3be0c99,
+  0x3b7c4c9, 0x3b17cf7, 0x3ab3523, 0x3a4ed4c, 0x39ea573, 0x3985d97, 0x39215ba,
+    0x38bcdda,
+  0x38585f8, 0x37f3e14, 0x378f62e, 0x372ae46, 0x36c665b, 0x3661e6f, 0x35fd680,
+    0x3598e8f,
+  0x353469c, 0x34cfea8, 0x346b6b1, 0x3406eb8, 0x33a26bd, 0x333dec0, 0x32d96c1,
+    0x3274ec0,
+  0x32106bd, 0x31abeb9, 0x31476b2, 0x30e2ea9, 0x307e69f, 0x3019e93, 0x2fb5684,
+    0x2f50e74,
+  0x2eec663, 0x2e87e4f, 0x2e2363a, 0x2dbee22, 0x2d5a609, 0x2cf5def, 0x2c915d2,
+    0x2c2cdb4,
+  0x2bc8594, 0x2b63d73, 0x2aff54f, 0x2a9ad2a, 0x2a36504, 0x29d1cdc, 0x296d4b2,
+    0x2908c87,
+  0x28a445a, 0x283fc2b, 0x27db3fb, 0x2776bc9, 0x2712396, 0x26adb62, 0x264932b,
+    0x25e4af4,
+  0x25802bb, 0x251ba80, 0x24b7244, 0x2452a07, 0x23ee1c8, 0x2389988, 0x2325147,
+    0x22c0904,
+  0x225c0bf, 0x21f787a, 0x2193033, 0x212e7eb, 0x20c9fa1, 0x2065757, 0x2000f0b,
+    0x1f9c6be,
+  0x1f37e6f, 0x1ed3620, 0x1e6edcf, 0x1e0a57d, 0x1da5d2a, 0x1d414d6, 0x1cdcc80,
+    0x1c7842a,
+  0x1c13bd2, 0x1baf37a, 0x1b4ab20, 0x1ae62c5, 0x1a81a69, 0x1a1d20c, 0x19b89ae,
+    0x1954150,
+  0x18ef8f0, 0x188b08f, 0x182682d, 0x17c1fcb, 0x175d767, 0x16f8f03, 0x169469d,
+    0x162fe37,
+  0x15cb5d0, 0x1566d68, 0x15024ff, 0x149dc96, 0x143942b, 0x13d4bc0, 0x1370354,
+    0x130bae7,
+  0x12a727a, 0x1242a0c, 0x11de19d, 0x117992e, 0x11150be, 0x10b084d, 0x104bfdb,
+    0xfe7769,
+  0xf82ef6, 0xf1e683, 0xeb9e0f, 0xe5559b, 0xdf0d26, 0xd8c4b0, 0xd27c3a,
+    0xcc33c3,
+  0xc5eb4c, 0xbfa2d5, 0xb95a5d, 0xb311e4, 0xacc96b, 0xa680f2, 0xa03878,
+    0x99effe,
+  0x93a784, 0x8d5f09, 0x87168e, 0x80ce12, 0x7a8597, 0x743d1a, 0x6df49e,
+    0x67ac21,
+  0x6163a5, 0x5b1b27, 0x54d2aa, 0x4e8a2c, 0x4841af, 0x41f931, 0x3bb0b3,
+    0x356835,
+  0x2f1fb6, 0x28d738, 0x228eb9, 0x1c463b, 0x15fdbc, 0xfb53d, 0x96cbe, 0x3243f,
+
+};
+
+/**    
+ * @brief  Initialization function for the Q31 DCT4/IDCT4.   
+ * @param[in,out] *S         points to an instance of Q31 DCT4/IDCT4 structure.   
+ * @param[in]     *S_RFFT    points to an instance of Q31 RFFT/RIFFT structure   
+ * @param[in]     *S_CFFT    points to an instance of Q31 CFFT/CIFFT structure   
+ * @param[in]     N          length of the DCT4.   
+ * @param[in]     Nby2       half of the length of the DCT4.   
+ * @param[in]     normalize  normalizing factor.   
+ * @return		  arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.   
+ * \par Normalizing factor:    
+ * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.    
+ * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:    
+ * \image html dct4NormalizingQ31Table.gif    
+ */
+
+arm_status arm_dct4_init_q31(
+  arm_dct4_instance_q31 * S,
+  arm_rfft_instance_q31 * S_RFFT,
+  arm_cfft_radix4_instance_q31 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q31_t normalize)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /* Initializing the pointer array with the weight table base addresses of different lengths */
+  q31_t *twiddlePtr[4] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512,
+    (q31_t *) WeightsQ31_2048, (q31_t *) WeightsQ31_8192
+  };
+
+  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
+  q31_t *pCosFactor[4] =
+    { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512,
+    (q31_t *) cos_factorsQ31_2048, (q31_t *) cos_factorsQ31_8192
+  };
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+    /* Initialize the table modifier values */
+  case 8192u:
+    S->pTwiddle = twiddlePtr[3];
+    S->pCosFactor = pCosFactor[3];
+    break;
+  case 2048u:
+    S->pTwiddle = twiddlePtr[2];
+    S->pCosFactor = pCosFactor[2];
+    break;
+  case 512u:
+    S->pTwiddle = twiddlePtr[1];
+    S->pCosFactor = pCosFactor[1];
+    break;
+  case 128u:
+    S->pTwiddle = twiddlePtr[0];
+    S->pCosFactor = pCosFactor[0];
+    break;
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT Function */
+  arm_rfft_init_q31(S->pRfft,  S->N, 0, 1);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
new file mode 100644
index 0000000..38131d5
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_q15.c
@@ -0,0 +1,394 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_q15.c    
+*    
+* Description:	Processing function of DCT4 & IDCT4 Q15.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q15 DCT4/IDCT4.   
+ * @param[in]       *S             points to an instance of the Q15 DCT4 structure.   
+ * @param[in]       *pState        points to state buffer.   
+ * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
+ * @return none.   
+ *     
+ * \par Input an output formats:    
+ * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
+ * Number of bits downscaled, depends on the size of the transform.    
+ * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
+ *    
+ * \image html dct4FormatsQ15Table.gif    
+ */
+
+void arm_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+  q15_t * pState,
+  q15_t * pInlineBuffer)
+{
+  uint32_t i;                                    /* Loop counter */
+  q15_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
+  q15_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
+  q15_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
+  q15_t in;                                      /* Temporary variable */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
+   * along with some pre-processing and post-processing.    
+   * Computational procedure is explained as follows:    
+   * (a) Pre-processing involves multiplying input with cos factor,    
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
+   *              where,    
+   *                 r(n) -- output of preprocessing    
+   *                 u(n) -- input to preprocessing(actual Source buffer)    
+   * (b) Calculation of DCT2 using FFT is divided into three steps:    
+   *                  Step1: Re-ordering of even and odd elements of input.    
+   *                  Step2: Calculating FFT of the re-ordered input.    
+   *                  Step3: Taking the real part of the product of FFT output and weights.    
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *                        where,    
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
+   */
+
+        /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N);
+  arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------    
+   * Step1: Re-ordering of even and odd elements as    
+   *             pState[i] =  pInlineBuffer[2*i] and    
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = (uint32_t) S->Nby2 >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = (uint32_t) S->N >> 2u;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------    
+  *  Step3: Multiply the FFT output with the weights.    
+  *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.13 format.    
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+  arm_shift_q15(pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = ((uint32_t) S->N - 1u) >> 2u;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1u;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  i = ((uint32_t) S->N - 1u) % 0x4u;
+
+  while(i > 0u)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = (uint32_t) S->N >> 2u;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initializing the loop counter to N/2 */
+  i = (uint32_t) S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = (uint32_t) S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
+
+ /*----------------------------------------------------------------------    
+  *  Step3: Multiply the FFT output with the weights.    
+  *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.13 format.    
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+  arm_shift_q15(pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter */
+  i = ((uint32_t) S->N - 1u);
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1u;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+   /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter */
+  i = (uint32_t) S->N;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c b/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
new file mode 100644
index 0000000..b8ec151
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_dct4_q31.c
@@ -0,0 +1,395 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_dct4_q31.c    
+*    
+* Description:	Processing function of DCT4 & IDCT4 Q31.    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**    
+ * @addtogroup DCT4_IDCT4    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the Q31 DCT4/IDCT4.   
+ * @param[in]       *S             points to an instance of the Q31 DCT4 structure.   
+ * @param[in]       *pState        points to state buffer.   
+ * @param[in,out]   *pInlineBuffer points to the in-place input and output buffer.   
+ * @return none.   
+ * \par Input an output formats:    
+ * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,    
+ * as the conversion from DCT2 to DCT4 involves one subtraction.    
+ * Internally inputs are downscaled in the RFFT process function to avoid overflows.    
+ * Number of bits downscaled, depends on the size of the transform.    
+ * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:     
+ *    
+ * \image html dct4FormatsQ31Table.gif    
+ */
+
+void arm_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+  q31_t * pState,
+  q31_t * pInlineBuffer)
+{
+  uint16_t i;                                    /* Loop counter */
+  q31_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
+  q31_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
+  q31_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
+  q31_t in;                                      /* Temporary variable */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)    
+   * along with some pre-processing and post-processing.    
+   * Computational procedure is explained as follows:    
+   * (a) Pre-processing involves multiplying input with cos factor,    
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))    
+   *              where,    
+   *                 r(n) -- output of preprocessing    
+   *                 u(n) -- input to preprocessing(actual Source buffer)    
+   * (b) Calculation of DCT2 using FFT is divided into three steps:    
+   *                  Step1: Re-ordering of even and odd elements of input.    
+   *                  Step2: Calculating FFT of the re-ordered input.    
+   *                  Step3: Taking the real part of the product of FFT output and weights.    
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:    
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *                        where,    
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output    
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).    
+   */
+
+        /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N);
+  arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------    
+   * Step1: Re-ordering of even and odd elements as    
+   *             pState[i] =  pInlineBuffer[2*i] and    
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2    
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = S->Nby2 >> 2u;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2u;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.    
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------    
+   *  Step3: Multiply the FFT output with the weights.    
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.29 format.    
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+  arm_shift_q31(pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = (S->N - 1u) >> 2u;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1u;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.    
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.    
+   ** No loop unrolling is used. */
+  i = (S->N - 1u) % 0x4u;
+
+  while(i > 0u)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2u;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* Initializing the loop counter to N/2 */
+  i = S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+
+  /* ---------------------------------------------------------    
+   *     Step2: Calculate RFFT for N-point input    
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------    
+   *  Step3: Multiply the FFT output with the weights.    
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.29 format.    
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+  arm_shift_q31(pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,    
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)    
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1u;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* Initializing the loop counter */
+  i = (S->N - 1u);
+
+  while(i > 0u)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+        /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter */
+  i = S->N;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    /* Decrement the loop counter */
+    i--;
+  } while(i > 0u);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+
+/**    
+   * @} end of DCT4_IDCT4 group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
new file mode 100644
index 0000000..b72f8fd
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_f32.c
@@ -0,0 +1,329 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_f32.c    
+*    
+* Description:	RFFT & RIFFT Floating point process function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_f32(
+    float32_t * pSrc,
+    uint16_t fftLen,
+    float32_t * pCoef,
+    uint16_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_f32(
+    float32_t * pSrc,
+    uint16_t fftLen,
+    float32_t * pCoef,
+    uint16_t twidCoefModifier,
+    float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+    float32_t * pSrc,
+    uint16_t fftSize,
+    uint16_t bitRevFactor,
+    uint16_t * pBitRevTab);
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/*--------------------------------------------------------------------    
+ *		Internal functions prototypes    
+ *--------------------------------------------------------------------*/
+
+void arm_split_rfft_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pATable,
+  float32_t * pBTable,
+  float32_t * pDst,
+  uint32_t modifier);
+void arm_split_rifft_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pATable,
+  float32_t * pBTable,
+  float32_t * pDst,
+  uint32_t modifier);
+
+/**    
+ * @addtogroup RealFFT    
+ * @{    
+ */
+
+/**    
+ * @brief Processing function for the floating-point RFFT/RIFFT.   
+ * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_f32 and will be removed
+ * in the future.
+ * @param[in]  *S    points to an instance of the floating-point RFFT/RIFFT structure.   
+ * @param[in]  *pSrc points to the input buffer.   
+ * @param[out] *pDst points to the output buffer.   
+ * @return none.   
+ */
+
+void arm_rfft_f32(
+  const arm_rfft_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst)
+{
+  const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
+
+
+  /* Calculation of Real IFFT of input */
+  if(S->ifftFlagR == 1u)
+  {
+    /*  Real IFFT core process */
+    arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
+                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+
+    /* Complex radix-4 IFFT process */
+    arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen,
+                                     S_CFFT->pTwiddle,
+                                     S_CFFT->twidCoefModifier,
+                                     S_CFFT->onebyfftLen);
+
+    /* Bit reversal process */
+    if(S->bitReverseFlagR == 1u)
+    {
+      arm_bitreversal_f32(pDst, S_CFFT->fftLen,
+                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+    }
+  }
+  else
+  {
+
+    /* Calculation of RFFT of input */
+
+    /* Complex radix-4 FFT process */
+    arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen,
+                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
+
+    /* Bit reversal process */
+    if(S->bitReverseFlagR == 1u)
+    {
+      arm_bitreversal_f32(pSrc, S_CFFT->fftLen,
+                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+    }
+
+
+    /*  Real FFT core process */
+    arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
+                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+  }
+
+}
+
+/**    
+   * @} end of RealFFT group    
+   */
+
+/**    
+ * @brief  Core Real FFT process    
+ * @param[in]   *pSrc 				points to the input buffer.    
+ * @param[in]   fftLen  			length of FFT.    
+ * @param[in]   *pATable 			points to the twiddle Coef A buffer.    
+ * @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+ * @param[out]  *pDst 				points to the output buffer.    
+ * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+ * @return none.    
+ */
+
+void arm_split_rfft_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pATable,
+  float32_t * pBTable,
+  float32_t * pDst,
+  uint32_t modifier)
+{
+  uint32_t i;                                    /* Loop Counter */
+  float32_t outR, outI;                          /* Temporary variables for output */
+  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
+  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
+  float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4u * fftLen) - 1u];      /* temp pointers for output buffer */
+  float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2u * fftLen) - 1u];      /* temp pointers for input buffer */
+
+  /* Init coefficient pointers */
+  pCoefA = &pATable[modifier * 2u];
+  pCoefB = &pBTable[modifier * 2u];
+
+  i = fftLen - 1u;
+
+  while(i > 0u)
+  {
+    /*    
+       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+     */
+
+    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
+
+    /* read pATable[2 * i] */
+    CoefA1 = *pCoefA++;
+    /* pATable[2 * i + 1] */
+    CoefA2 = *pCoefA;
+
+    /* pSrc[2 * i] * pATable[2 * i] */
+    outR = *pSrc1 * CoefA1;
+    /* pSrc[2 * i] * CoefA2 */
+    outI = *pSrc1++ * CoefA2;
+
+    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+    outR -= (*pSrc1 + *pSrc2) * CoefA2;
+    /* pSrc[2 * i + 1] * CoefA1 */
+    outI += *pSrc1++ * CoefA1;
+
+    CoefB1 = *pCoefB;
+
+    /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+    outI -= *pSrc2-- * CoefB1;
+    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+    outI -= *pSrc2 * CoefA2;
+
+    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+    outR += *pSrc2-- * CoefB1;
+
+    /* write output */
+    *pDst1++ = outR;
+    *pDst1++ = outI;
+
+    /* write complex conjugate output */
+    *pDst2-- = -outI;
+    *pDst2-- = outR;
+
+    /* update coefficient pointer */
+    pCoefB = pCoefB + (modifier * 2u);
+    pCoefA = pCoefA + ((modifier * 2u) - 1u);
+
+    i--;
+
+  }
+
+  pDst[2u * fftLen] = pSrc[0] - pSrc[1];
+  pDst[(2u * fftLen) + 1u] = 0.0f;
+
+  pDst[0] = pSrc[0] + pSrc[1];
+  pDst[1] = 0.0f;
+
+}
+
+
+/**    
+ * @brief  Core Real IFFT process    
+ * @param[in]   *pSrc 				points to the input buffer.    
+ * @param[in]   fftLen  			length of FFT.   
+ * @param[in]   *pATable 			points to the twiddle Coef A buffer.   
+ * @param[in]   *pBTable 			points to the twiddle Coef B buffer.   
+ * @param[out]  *pDst 				points to the output buffer.   
+ * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.    
+ * @return none.    
+ */
+
+void arm_split_rifft_f32(
+  float32_t * pSrc,
+  uint32_t fftLen,
+  float32_t * pATable,
+  float32_t * pBTable,
+  float32_t * pDst,
+  uint32_t modifier)
+{
+  float32_t outR, outI;                          /* Temporary variables for output */
+  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
+  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
+  float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2u * fftLen) + 1u];
+
+  pCoefA = &pATable[0];
+  pCoefB = &pBTable[0];
+
+  while(fftLen > 0u)
+  {
+    /*    
+       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+       pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+
+       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
+       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
+
+     */
+
+    CoefA1 = *pCoefA++;
+    CoefA2 = *pCoefA;
+
+    /* outR = (pSrc[2 * i] * CoefA1 */
+    outR = *pSrc1 * CoefA1;
+
+    /* - pSrc[2 * i] * CoefA2 */
+    outI = -(*pSrc1++) * CoefA2;
+
+    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+    outR += (*pSrc1 + *pSrc2) * CoefA2;
+
+    /* pSrc[2 * i + 1] * CoefA1 */
+    outI += (*pSrc1++) * CoefA1;
+
+    CoefB1 = *pCoefB;
+
+    /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+    outI -= *pSrc2-- * CoefB1;
+
+    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+    outR += *pSrc2 * CoefB1;
+
+    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+    outI += *pSrc2-- * CoefA2;
+
+    /* write output */
+    *pDst++ = outR;
+    *pDst++ = outI;
+
+    /* update coefficient pointer */
+    pCoefB = pCoefB + (modifier * 2u);
+    pCoefA = pCoefA + ((modifier * 2u) - 1u);
+
+    /* Decrement loop count */
+    fftLen--;
+  }
+
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c
new file mode 100644
index 0000000..d4970b6
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_f32.c
@@ -0,0 +1,353 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*
+* Project: 	    CMSIS DSP Library
+* Title:	    arm_rfft_f32.c
+*
+* Description:	RFFT & RIFFT Floating point process function
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+void stage_rfft_f32(
+  arm_rfft_fast_instance_f32 * S,
+  float32_t * p, float32_t * pOut)
+{
+   uint32_t  k;								   /* Loop Counter                     */
+   float32_t twR, twI;						   /* RFFT Twiddle coefficients        */
+   float32_t * pCoeff = S->pTwiddleRFFT;  /* Points to RFFT Twiddle factors   */
+   float32_t *pA = p;						   /* increasing pointer               */
+   float32_t *pB = p;						   /* decreasing pointer               */
+   float32_t xAR, xAI, xBR, xBI;				/* temporary variables              */
+   float32_t t1a, t1b;				         /* temporary variables              */
+   float32_t p0, p1, p2, p3;				   /* temporary variables              */
+
+
+   k = (S->Sint).fftLen - 1;					
+
+   /* Pack first and last sample of the frequency domain together */
+
+   xBR = pB[0];
+   xBI = pB[1];
+   xAR = pA[0];
+   xAI = pA[1];
+
+   twR = *pCoeff++ ;
+   twI = *pCoeff++ ;
+   
+   // U1 = XA(1) + XB(1); % It is real
+   t1a = xBR + xAR  ;
+   
+   // U2 = XB(1) - XA(1); % It is imaginary
+   t1b = xBI + xAI  ;
+
+   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+   *pOut++ = 0.5f * ( t1a + t1b );
+   *pOut++ = 0.5f * ( t1a - t1b );
+
+   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
+   pB  = p + 2*k;
+   pA += 2;
+
+   do
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+      xBI = pB[1];
+      xBR = pB[0];
+      xAR = pA[0];
+      xAI = pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xBR - xAR ;
+      t1b = xBI + xAI ;
+
+      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+      p0 = twR * t1a;
+      p1 = twI * t1a;
+      p2 = twR * t1b;
+      p3 = twI * t1b;
+
+      *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   } while(k > 0u);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+arm_rfft_fast_instance_f32 * S,
+float32_t * p, float32_t * pOut)
+{
+   uint32_t  k;								/* Loop Counter                     */
+   float32_t twR, twI;						/* RFFT Twiddle coefficients        */
+   float32_t *pCoeff = S->pTwiddleRFFT;		/* Points to RFFT Twiddle factors   */
+   float32_t *pA = p;						/* increasing pointer               */
+   float32_t *pB = p;						/* decreasing pointer               */
+   float32_t xAR, xAI, xBR, xBI;			/* temporary variables              */
+   float32_t t1a, t1b, r, s, t, u;			/* temporary variables              */
+
+   k = (S->Sint).fftLen - 1;					
+
+   xAR = pA[0];
+   xAI = pA[1];
+
+   pCoeff += 2 ;
+
+   *pOut++ = 0.5f * ( xAR + xAI );
+   *pOut++ = 0.5f * ( xAR - xAI );
+
+   pB  =  p + 2*k ;
+   pA +=  2	   ;
+
+   while(k > 0u)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xBI =   pB[1]    ;
+      xBR =   pB[0]    ;
+      xAR =  pA[0];
+      xAI =  pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xAR - xBR ;
+      t1b = xAI + xBI ;
+
+      r = twR * t1a;
+      s = twI * t1b;
+      t = twI * t1a;
+      u = twR * t1b;
+
+      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+      *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   }
+
+}
+
+/**
+* @ingroup groupTransforms
+*/
+
+/**
+ * @defgroup Fast Real FFT Functions
+ *
+ * \par
+ * The CMSIS DSP library includes specialized algorithms for computing the
+ * FFT of real data sequences.  The FFT is defined over complex data but
+ * in many applications the input is real.  Real FFT algorithms take advantage
+ * of the symmetry properties of the FFT and have a speed advantage over complex
+ * algorithms of the same length.
+ * \par
+ * The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage.
+ * \par
+ * The real length N forward FFT of a sequence is computed using the steps shown below.
+ * \par
+ * \image html RFFT.gif "Real Fast Fourier Transform"
+ * \par
+ * The real sequence is initially treated as if it were complex to perform a CFFT.
+ * Later, a processing stage reshapes the data to obtain half of the frequency spectrum
+ * in complex format. Except the first complex number that contains the two real numbers
+ * X[0] and X[N/2] all the data is complex. In other words, the first complex sample
+ * contains two real values packed.
+ * \par
+ * The input for the inverse RFFT should keep the same format as the output of the 
+ * forward RFFT. A first processing stage pre-process the data to later perform an
+ * inverse CFFT.
+ * \par    
+ * \image html RIFFT.gif "Real Inverse Fast Fourier Transform"    
+ * \par    
+ * The algorithms for floating-point, Q15, and Q31 data are slightly different
+ * and we describe each algorithm in turn.
+ * \par Floating-point
+ * The main functions are <code>arm_rfft_fast_f32()</code>
+ * and <code>arm_rfft_fast_init_f32()</code>.  The older functions
+ * <code>arm_rfft_f32()</code> and <code>arm_rfft_init_f32()</code> have been
+ * deprecated but are still documented.
+ * \par
+ * The FFT of a real N-point sequence has even symmetry in the frequency
+ * domain.  The second half of the data equals the conjugate of the first half
+ * flipped in frequency:
+ * <pre>
+ *X[0] - real data
+ *X[1] - complex data
+ *X[2] - complex data
+ *... 
+ *X[fftLen/2-1] - complex data
+ *X[fftLen/2] - real data
+ *X[fftLen/2+1] - conjugate of X[fftLen/2-1]
+ *X[fftLen/2+2] - conjugate of X[fftLen/2-2]
+ *... 
+ *X[fftLen-1] - conjugate of X[1]
+ * </pre>
+ * Looking at the data, we see that we can uniquely represent the FFT using only
+ * <pre>
+ *N/2+1 samples:
+ *X[0] - real data
+ *X[1] - complex data
+ *X[2] - complex data
+ *... 
+ *X[fftLen/2-1] - complex data
+ *X[fftLen/2] - real data
+ * </pre>
+ * Looking more closely we see that the first and last samples are real valued.
+ * They can be packed together and we can thus represent the FFT of an N-point
+ * real sequence by N/2 complex values:
+ * <pre>
+ *X[0],X[N/2] - packed real data: X[0] + jX[N/2]
+ *X[1] - complex data
+ *X[2] - complex data
+ *... 
+ *X[fftLen/2-1] - complex data
+ * </pre>
+ * The real FFT functions pack the frequency domain data in this fashion.  The
+ * forward transform outputs the data in this form and the inverse transform
+ * expects input data in this form.  The function always performs the needed
+ * bitreversal so that the input and output data is always in normal order.  The 
+ * functions support lengths of [32, 64, 128, ..., 4096] samples.
+ * \par
+ * The forward and inverse real FFT functions apply the standard FFT scaling; no
+ * scaling on the forward transform and 1/fftLen scaling on the inverse
+ * transform.
+ * \par Q15 and Q31
+ * The real algorithms are defined in a similar manner and utilize N/2 complex
+ * transforms behind the scenes.  
+ * \par
+ * The complex transforms used internally include scaling to prevent fixed-point
+ * overflows.  The overall scaling equals 1/(fftLen/2).
+ * \par
+ * A separate instance structure must be defined for each transform used but 
+ * twiddle factor and bit reversal tables can be reused.
+ * \par
+ * There is also an associated initialization function for each data type. 
+ * The initialization function performs the following operations:
+ * - Sets the values of the internal structure fields.   
+ * - Initializes twiddle factor table and bit reversal table pointers.
+ * - Initializes the internal complex FFT data structure.
+ * \par   
+ * Use of the initialization function is optional.   
+ * However, if the initialization function is used, then the instance structure 
+ * cannot be placed into a const data section. To place an instance structure 
+ * into a const data section, the instance structure should be manually 
+ * initialized as follows:
+ * <pre>
+ *arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
+ *arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
+ * </pre>
+ * where <code>fftLenReal</code> is the length of the real transform;
+ * <code>fftLenBy2</code> length of  the internal complex transform.
+ * <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform.
+ * <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order
+ * output (=1).
+ * <code>twidCoefRModifier</code> stride modifier for the twiddle factor table.
+ * The value is based on the FFT length;
+ * <code>pTwiddleAReal</code>points to the A array of twiddle coefficients; 
+ * <code>pTwiddleBReal</code>points to the B array of twiddle coefficients;    
+ * <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure
+ * must also be initialized.  Refer to arm_cfft_radix4_f32() for details regarding    
+ * static initialization of the complex FFT instance structure.    
+ */
+
+/**
+* @addtogroup RealFFT
+* @{
+*/
+
+/**
+* @brief Processing function for the floating-point real FFT.
+* @param[in]  *S              points to an arm_rfft_fast_instance_f32 structure.
+* @param[in]  *p              points to the input buffer.
+* @param[in]  *pOut           points to the output buffer.
+* @param[in]  ifftFlag        RFFT if flag is 0, RIFFT if flag is 1
+* @return none.
+*/
+
+void arm_rfft_fast_f32(
+arm_rfft_fast_instance_f32 * S,
+float32_t * p, float32_t * pOut,
+uint8_t ifftFlag)
+{
+   arm_cfft_instance_f32 * Sint = &(S->Sint);
+   Sint->fftLen = S->fftLenRFFT / 2;
+
+   /* Calculation of Real FFT */
+   if(ifftFlag)
+   {
+      /*  Real FFT compression */
+      merge_rfft_f32(S, p, pOut);
+
+      /* Complex radix-4 IFFT process */
+      arm_cfft_f32( Sint, pOut, ifftFlag, 1);
+   }
+   else
+   {
+      /* Calculation of RFFT of input */
+      arm_cfft_f32( Sint, p, ifftFlag, 1);
+   
+      /*  Real FFT extraction */
+      stage_rfft_f32(S, p, pOut);
+   }
+}
+
+/**    
+* @} end of RealFFT group    
+*/
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c
new file mode 100644
index 0000000..ba66980
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_fast_init_f32.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_cfft_init_f32.c   
+*    
+* Description:	Split Radix Decimation in Frequency CFFT Floating point processing function   
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.   
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**   
+ * @ingroup groupTransforms   
+ */
+
+/**   
+ * @addtogroup RealFFT   
+ * @{   
+ */
+
+/**   
+* @brief  Initialization function for the floating-point real FFT.  
+* @param[in,out] *S             points to an arm_rfft_fast_instance_f32 structure.
+* @param[in]     fftLen         length of the Real Sequence.  
+* @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.  
+*   
+* \par Description:  
+* \par   
+* The parameter <code>fftLen</code>	Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.   
+* \par   
+* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.   
+*/
+arm_status arm_rfft_fast_init_f32(
+  arm_rfft_fast_instance_f32 * S,
+  uint16_t fftLen)
+{
+  arm_cfft_instance_f32 * Sint;
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+  /*  Initialise the FFT length */
+  Sint = &(S->Sint);
+  Sint->fftLen = fftLen/2;
+  S->fftLenRFFT = fftLen;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (Sint->fftLen)
+  {
+  case 2048u:
+    /*  Initializations of structure parameters for 2048 point FFT */
+    /*  Initialise the bit reversal table length */
+    Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH;
+    /*  Initialise the bit reversal table pointer */
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048;
+    /*  Initialise the Twiddle coefficient pointers */
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_2048;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_4096;
+    break;
+  case 1024u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE1024_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_1024;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_2048;
+    break;
+  case 512u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_512;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_1024;
+    break;
+  case 256u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_256;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_512;
+    break;
+  case 128u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_128;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_256;
+    break;
+  case 64u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE__64_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_64;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_128;
+    break;
+  case 32u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE__32_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_32;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_64;
+    break;
+  case 16u:
+    Sint->bitRevLength = ARMBITREVINDEXTABLE__16_TABLE_LENGTH;
+    Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16;
+		Sint->pTwiddle     = (float32_t *) twiddleCoef_16;
+		S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_32;
+    break;
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**   
+ * @} end of RealFFT group   
+ */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
new file mode 100644
index 0000000..b9b5004
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_f32.c
@@ -0,0 +1,8376 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_init_f32.c    
+*    
+* Description:	RFFT & RIFFT Floating point initialisation function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+/**    
+ * @ingroup groupTransforms    
+ */
+
+/**    
+ * @addtogroup RealFFT    
+ * @{    
+ */
+
+/**    
+* \par    
+* Generation of realCoefA array:    
+* \par    
+* 	n = 4096    
+* <pre>for (i = 0; i < n; i++)    
+*  {    
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+*  } </pre>    
+*/
+
+
+
+static const float32_t realCoefA[8192] = {
+  0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
+    -0.499999850988388f,
+  0.499233007431030f, -0.499999403953552f, 0.498849511146545f,
+    -0.499998688697815f,
+  0.498466014862061f, -0.499997645616531f, 0.498082518577576f,
+    -0.499996334314346f,
+  0.497699022293091f, -0.499994695186615f, 0.497315555810928f,
+    -0.499992787837982f,
+  0.496932059526443f, -0.499990582466125f, 0.496548563241959f,
+    -0.499988079071045f,
+  0.496165096759796f, -0.499985307455063f, 0.495781600475311f,
+    -0.499982208013535f,
+  0.495398133993149f, -0.499978810548782f, 0.495014637708664f,
+    -0.499975144863129f,
+  0.494631171226501f, -0.499971181154251f, 0.494247704744339f,
+    -0.499966919422150f,
+  0.493864238262177f, -0.499962359666824f, 0.493480771780014f,
+    -0.499957501888275f,
+  0.493097305297852f, -0.499952346086502f, 0.492713838815689f,
+    -0.499946922063828f,
+  0.492330402135849f, -0.499941170215607f, 0.491946935653687f,
+    -0.499935150146484f,
+  0.491563498973846f, -0.499928832054138f, 0.491180062294006f,
+    -0.499922215938568f,
+  0.490796625614166f, -0.499915301799774f, 0.490413218736649f,
+    -0.499908089637756f,
+  0.490029782056808f, -0.499900579452515f, 0.489646375179291f,
+    -0.499892801046371f,
+  0.489262968301773f, -0.499884694814682f, 0.488879561424255f,
+    -0.499876320362091f,
+  0.488496154546738f, -0.499867647886276f, 0.488112777471542f,
+    -0.499858677387238f,
+  0.487729400396347f, -0.499849408864975f, 0.487346023321152f,
+    -0.499839842319489f,
+  0.486962646245956f, -0.499830007553101f, 0.486579269170761f,
+    -0.499819844961166f,
+  0.486195921897888f, -0.499809414148331f, 0.485812574625015f,
+    -0.499798685312271f,
+  0.485429257154465f, -0.499787658452988f, 0.485045909881592f,
+    -0.499776333570480f,
+  0.484662592411041f, -0.499764710664749f, 0.484279274940491f,
+    -0.499752789735794f,
+  0.483895987272263f, -0.499740600585938f, 0.483512699604034f,
+    -0.499728083610535f,
+  0.483129411935806f, -0.499715298414230f, 0.482746154069901f,
+    -0.499702215194702f,
+  0.482362866401672f, -0.499688833951950f, 0.481979638338089f,
+    -0.499675154685974f,
+  0.481596380472183f, -0.499661177396774f, 0.481213152408600f,
+    -0.499646931886673f,
+  0.480829954147339f, -0.499632388353348f, 0.480446726083755f,
+    -0.499617516994476f,
+  0.480063527822495f, -0.499602377414703f, 0.479680359363556f,
+    -0.499586939811707f,
+  0.479297190904617f, -0.499571204185486f, 0.478914022445679f,
+    -0.499555170536041f,
+  0.478530883789063f, -0.499538868665695f, 0.478147745132446f,
+    -0.499522238969803f,
+  0.477764606475830f, -0.499505341053009f, 0.477381497621536f,
+    -0.499488145112991f,
+  0.476998418569565f, -0.499470651149750f, 0.476615339517593f,
+    -0.499452859163284f,
+  0.476232260465622f, -0.499434769153595f, 0.475849211215973f,
+    -0.499416410923004f,
+  0.475466161966324f, -0.499397724866867f, 0.475083142518997f,
+    -0.499378770589828f,
+  0.474700123071671f, -0.499359518289566f, 0.474317133426666f,
+    -0.499339967966080f,
+  0.473934143781662f, -0.499320119619370f, 0.473551183938980f,
+    -0.499299973249435f,
+  0.473168224096298f, -0.499279528856277f, 0.472785294055939f,
+    -0.499258816242218f,
+  0.472402364015579f, -0.499237775802612f, 0.472019463777542f,
+    -0.499216467142105f,
+  0.471636593341827f, -0.499194860458374f, 0.471253722906113f,
+    -0.499172955751419f,
+  0.470870882272720f, -0.499150782823563f, 0.470488041639328f,
+    -0.499128282070160f,
+  0.470105201005936f, -0.499105513095856f, 0.469722419977188f,
+    -0.499082416296005f,
+  0.469339638948441f, -0.499059051275253f, 0.468956857919693f,
+    -0.499035388231277f,
+  0.468574106693268f, -0.499011427164078f, 0.468191385269165f,
+    -0.498987197875977f,
+  0.467808693647385f, -0.498962640762329f, 0.467426002025604f,
+    -0.498937815427780f,
+  0.467043310403824f, -0.498912662267685f, 0.466660678386688f,
+    -0.498887240886688f,
+  0.466278046369553f, -0.498861521482468f, 0.465895414352417f,
+    -0.498835533857346f,
+  0.465512841939926f, -0.498809218406677f, 0.465130269527435f,
+    -0.498782604932785f,
+  0.464747726917267f, -0.498755723237991f, 0.464365184307098f,
+    -0.498728543519974f,
+  0.463982671499252f, -0.498701065778732f, 0.463600188493729f,
+    -0.498673290014267f,
+  0.463217705488205f, -0.498645216226578f, 0.462835282087326f,
+    -0.498616874217987f,
+  0.462452858686447f, -0.498588204383850f, 0.462070435285568f,
+    -0.498559266328812f,
+  0.461688071489334f, -0.498530030250549f, 0.461305707693100f,
+    -0.498500496149063f,
+  0.460923373699188f, -0.498470664024353f, 0.460541069507599f,
+    -0.498440563678741f,
+  0.460158795118332f, -0.498410135507584f, 0.459776520729065f,
+    -0.498379439115524f,
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+    -0.498317152261734f,
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+  0.455573230981827f, 0.498022347688675f, 0.455955207347870f,
+    0.498056292533875f,
+  0.456337243318558f, 0.498089909553528f, 0.456719279289246f,
+    0.498123258352280f,
+  0.457101345062256f, 0.498156309127808f, 0.457483440637589f,
+    0.498189061880112f,
+  0.457865566015244f, 0.498221516609192f, 0.458247691392899f,
+    0.498253703117371f,
+  0.458629876375198f, 0.498285561800003f, 0.459012061357498f,
+    0.498317152261734f,
+  0.459394276142120f, 0.498348444700241f, 0.459776520729065f,
+    0.498379439115524f,
+  0.460158795118332f, 0.498410135507584f, 0.460541069507599f,
+    0.498440563678741f,
+  0.460923373699188f, 0.498470664024353f, 0.461305707693100f,
+    0.498500496149063f,
+  0.461688071489334f, 0.498530030250549f, 0.462070435285568f,
+    0.498559266328812f,
+  0.462452858686447f, 0.498588204383850f, 0.462835282087326f,
+    0.498616874217987f,
+  0.463217705488205f, 0.498645216226578f, 0.463600188493729f,
+    0.498673290014267f,
+  0.463982671499252f, 0.498701065778732f, 0.464365184307098f,
+    0.498728543519974f,
+  0.464747726917267f, 0.498755723237991f, 0.465130269527435f,
+    0.498782604932785f,
+  0.465512841939926f, 0.498809218406677f, 0.465895414352417f,
+    0.498835533857346f,
+  0.466278046369553f, 0.498861521482468f, 0.466660678386688f,
+    0.498887240886688f,
+  0.467043310403824f, 0.498912662267685f, 0.467426002025604f,
+    0.498937815427780f,
+  0.467808693647385f, 0.498962640762329f, 0.468191385269165f,
+    0.498987197875977f,
+  0.468574106693268f, 0.499011427164078f, 0.468956857919693f,
+    0.499035388231277f,
+  0.469339638948441f, 0.499059051275253f, 0.469722419977188f,
+    0.499082416296005f,
+  0.470105201005936f, 0.499105513095856f, 0.470488041639328f,
+    0.499128282070160f,
+  0.470870882272720f, 0.499150782823563f, 0.471253722906113f,
+    0.499172955751419f,
+  0.471636593341827f, 0.499194860458374f, 0.472019463777542f,
+    0.499216467142105f,
+  0.472402364015579f, 0.499237775802612f, 0.472785294055939f,
+    0.499258816242218f,
+  0.473168224096298f, 0.499279528856277f, 0.473551183938980f,
+    0.499299973249435f,
+  0.473934143781662f, 0.499320119619370f, 0.474317133426666f,
+    0.499339967966080f,
+  0.474700123071671f, 0.499359518289566f, 0.475083142518997f,
+    0.499378770589828f,
+  0.475466161966324f, 0.499397724866867f, 0.475849211215973f,
+    0.499416410923004f,
+  0.476232260465622f, 0.499434769153595f, 0.476615339517593f,
+    0.499452859163284f,
+  0.476998418569565f, 0.499470651149750f, 0.477381497621536f,
+    0.499488145112991f,
+  0.477764606475830f, 0.499505341053009f, 0.478147745132446f,
+    0.499522238969803f,
+  0.478530883789063f, 0.499538868665695f, 0.478914022445679f,
+    0.499555170536041f,
+  0.479297190904617f, 0.499571204185486f, 0.479680359363556f,
+    0.499586939811707f,
+  0.480063527822495f, 0.499602377414703f, 0.480446726083755f,
+    0.499617516994476f,
+  0.480829954147339f, 0.499632388353348f, 0.481213152408600f,
+    0.499646931886673f,
+  0.481596380472183f, 0.499661177396774f, 0.481979638338089f,
+    0.499675154685974f,
+  0.482362866401672f, 0.499688833951950f, 0.482746154069901f,
+    0.499702215194702f,
+  0.483129411935806f, 0.499715298414230f, 0.483512699604034f,
+    0.499728083610535f,
+  0.483895987272263f, 0.499740600585938f, 0.484279274940491f,
+    0.499752789735794f,
+  0.484662592411041f, 0.499764710664749f, 0.485045909881592f,
+    0.499776333570480f,
+  0.485429257154465f, 0.499787658452988f, 0.485812574625015f,
+    0.499798685312271f,
+  0.486195921897888f, 0.499809414148331f, 0.486579269170761f,
+    0.499819844961166f,
+  0.486962646245956f, 0.499830007553101f, 0.487346023321152f,
+    0.499839842319489f,
+  0.487729400396347f, 0.499849408864975f, 0.488112777471542f,
+    0.499858677387238f,
+  0.488496154546738f, 0.499867647886276f, 0.488879561424255f,
+    0.499876320362091f,
+  0.489262968301773f, 0.499884694814682f, 0.489646375179291f,
+    0.499892801046371f,
+  0.490029782056808f, 0.499900579452515f, 0.490413218736649f,
+    0.499908089637756f,
+  0.490796625614166f, 0.499915301799774f, 0.491180062294006f,
+    0.499922215938568f,
+  0.491563498973846f, 0.499928832054138f, 0.491946935653687f,
+    0.499935150146484f,
+  0.492330402135849f, 0.499941170215607f, 0.492713838815689f,
+    0.499946922063828f,
+  0.493097305297852f, 0.499952346086502f, 0.493480771780014f,
+    0.499957501888275f,
+  0.493864238262177f, 0.499962359666824f, 0.494247704744339f,
+    0.499966919422150f,
+  0.494631171226501f, 0.499971181154251f, 0.495014637708664f,
+    0.499975144863129f,
+  0.495398133993149f, 0.499978810548782f, 0.495781600475311f,
+    0.499982208013535f,
+  0.496165096759796f, 0.499985307455063f, 0.496548563241959f,
+    0.499988079071045f,
+  0.496932059526443f, 0.499990582466125f, 0.497315555810928f,
+    0.499992787837982f,
+  0.497699022293091f, 0.499994695186615f, 0.498082518577576f,
+    0.499996334314346f,
+  0.498466014862061f, 0.499997645616531f, 0.498849511146545f,
+    0.499998688697815f,
+  0.499233007431030f, 0.499999403953552f, 0.499616503715515f,
+    0.499999850988388f,
+};
+
+
+/**    
+* \par   
+* Generation of realCoefB array:    
+* \par   
+* n = 4096    
+* <pre>for (i = 0; i < n; i++)    
+* {    
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+*  } </pre>    
+*    
+*/
+static const float32_t realCoefB[8192] = {
+  0.500000000000000f, 0.500000000000000f, 0.500383496284485f,
+    0.499999850988388f,
+  0.500766992568970f, 0.499999403953552f, 0.501150488853455f,
+    0.499998688697815f,
+  0.501533985137939f, 0.499997645616531f, 0.501917481422424f,
+    0.499996334314346f,
+  0.502300977706909f, 0.499994695186615f, 0.502684473991394f,
+    0.499992787837982f,
+  0.503067970275879f, 0.499990582466125f, 0.503451406955719f,
+    0.499988079071045f,
+  0.503834903240204f, 0.499985307455063f, 0.504218399524689f,
+    0.499982208013535f,
+  0.504601895809174f, 0.499978810548782f, 0.504985332489014f,
+    0.499975144863129f,
+  0.505368828773499f, 0.499971181154251f, 0.505752325057983f,
+    0.499966919422150f,
+  0.506135761737823f, 0.499962359666824f, 0.506519258022308f,
+    0.499957501888275f,
+  0.506902694702148f, 0.499952346086502f, 0.507286131381989f,
+    0.499946922063828f,
+  0.507669627666473f, 0.499941170215607f, 0.508053064346313f,
+    0.499935150146484f,
+  0.508436501026154f, 0.499928832054138f, 0.508819937705994f,
+    0.499922215938568f,
+  0.509203374385834f, 0.499915301799774f, 0.509586811065674f,
+    0.499908089637756f,
+  0.509970188140869f, 0.499900579452515f, 0.510353624820709f,
+    0.499892801046371f,
+  0.510737061500549f, 0.499884694814682f, 0.511120438575745f,
+    0.499876320362091f,
+  0.511503815650940f, 0.499867647886276f, 0.511887252330780f,
+    0.499858677387238f,
+  0.512270629405975f, 0.499849408864975f, 0.512654006481171f,
+    0.499839842319489f,
+  0.513037383556366f, 0.499830007553101f, 0.513420701026917f,
+    0.499819844961166f,
+  0.513804078102112f, 0.499809414148331f, 0.514187395572662f,
+    0.499798685312271f,
+  0.514570772647858f, 0.499787658452988f, 0.514954090118408f,
+    0.499776333570480f,
+  0.515337407588959f, 0.499764710664749f, 0.515720725059509f,
+    0.499752789735794f,
+  0.516103982925415f, 0.499740600585938f, 0.516487300395966f,
+    0.499728083610535f,
+  0.516870558261871f, 0.499715298414230f, 0.517253875732422f,
+    0.499702215194702f,
+  0.517637133598328f, 0.499688833951950f, 0.518020391464233f,
+    0.499675154685974f,
+  0.518403589725494f, 0.499661177396774f, 0.518786847591400f,
+    0.499646931886673f,
+  0.519170045852661f, 0.499632388353348f, 0.519553244113922f,
+    0.499617516994476f,
+  0.519936442375183f, 0.499602377414703f, 0.520319640636444f,
+    0.499586939811707f,
+  0.520702838897705f, 0.499571204185486f, 0.521085977554321f,
+    0.499555170536041f,
+  0.521469116210938f, 0.499538868665695f, 0.521852254867554f,
+    0.499522238969803f,
+  0.522235393524170f, 0.499505341053009f, 0.522618472576141f,
+    0.499488145112991f,
+  0.523001611232758f, 0.499470651149750f, 0.523384690284729f,
+    0.499452859163284f,
+  0.523767769336700f, 0.499434769153595f, 0.524150788784027f,
+    0.499416410923004f,
+  0.524533808231354f, 0.499397724866867f, 0.524916887283325f,
+    0.499378770589828f,
+  0.525299847126007f, 0.499359518289566f, 0.525682866573334f,
+    0.499339967966080f,
+  0.526065826416016f, 0.499320119619370f, 0.526448845863342f,
+    0.499299973249435f,
+  0.526831746101379f, 0.499279528856277f, 0.527214705944061f,
+    0.499258816242218f,
+  0.527597606182098f, 0.499237775802612f, 0.527980506420136f,
+    0.499216467142105f,
+  0.528363406658173f, 0.499194860458374f, 0.528746306896210f,
+    0.499172955751419f,
+  0.529129147529602f, 0.499150782823563f, 0.529511988162994f,
+    0.499128282070160f,
+  0.529894769191742f, 0.499105513095856f, 0.530277609825134f,
+    0.499082416296005f,
+  0.530660390853882f, 0.499059051275253f, 0.531043112277985f,
+    0.499035388231277f,
+  0.531425893306732f, 0.499011427164078f, 0.531808614730835f,
+    0.498987197875977f,
+  0.532191336154938f, 0.498962640762329f, 0.532573997974396f,
+    0.498937815427780f,
+  0.532956659793854f, 0.498912662267685f, 0.533339321613312f,
+    0.498887240886688f,
+  0.533721983432770f, 0.498861521482468f, 0.534104585647583f,
+    0.498835533857346f,
+  0.534487187862396f, 0.498809218406677f, 0.534869730472565f,
+    0.498782604932785f,
+  0.535252273082733f, 0.498755723237991f, 0.535634815692902f,
+    0.498728543519974f,
+  0.536017298698425f, 0.498701065778732f, 0.536399841308594f,
+    0.498673290014267f,
+  0.536782264709473f, 0.498645216226578f, 0.537164747714996f,
+    0.498616874217987f,
+  0.537547171115875f, 0.498588204383850f, 0.537929534912109f,
+    0.498559266328812f,
+  0.538311958312988f, 0.498530030250549f, 0.538694262504578f,
+    0.498500496149063f,
+  0.539076626300812f, 0.498470664024353f, 0.539458930492401f,
+    0.498440563678741f,
+  0.539841234683990f, 0.498410135507584f, 0.540223479270935f,
+    0.498379439115524f,
+  0.540605723857880f, 0.498348444700241f, 0.540987968444824f,
+    0.498317152261734f,
+  0.541370153427124f, 0.498285561800003f, 0.541752278804779f,
+    0.498253703117371f,
+  0.542134463787079f, 0.498221516609192f, 0.542516589164734f,
+    0.498189061880112f,
+  0.542898654937744f, 0.498156309127808f, 0.543280720710754f,
+    0.498123258352280f,
+  0.543662786483765f, 0.498089909553528f, 0.544044792652130f,
+    0.498056292533875f,
+  0.544426798820496f, 0.498022347688675f, 0.544808745384216f,
+    0.497988134622574f,
+  0.545190691947937f, 0.497953623533249f, 0.545572578907013f,
+    0.497918814420700f,
+  0.545954465866089f, 0.497883707284927f, 0.546336352825165f,
+    0.497848302125931f,
+  0.546718180179596f, 0.497812628746033f, 0.547099947929382f,
+    0.497776657342911f,
+  0.547481775283813f, 0.497740387916565f, 0.547863483428955f,
+    0.497703820466995f,
+  0.548245191574097f, 0.497666954994202f, 0.548626899719238f,
+    0.497629791498184f,
+  0.549008548259735f, 0.497592359781265f, 0.549390196800232f,
+    0.497554630041122f,
+  0.549771785736084f, 0.497516602277756f, 0.550153374671936f,
+    0.497478276491165f,
+  0.550534904003143f, 0.497439652681351f, 0.550916433334351f,
+    0.497400760650635f,
+  0.551297962665558f, 0.497361570596695f, 0.551679372787476f,
+    0.497322082519531f,
+  0.552060842514038f, 0.497282296419144f, 0.552442193031311f,
+    0.497242212295532f,
+  0.552823603153229f, 0.497201830148697f, 0.553204894065857f,
+    0.497161179780960f,
+  0.553586184978485f, 0.497120231389999f, 0.553967475891113f,
+    0.497078984975815f,
+  0.554348707199097f, 0.497037440538406f, 0.554729938507080f,
+    0.496995598077774f,
+  0.555111110210419f, 0.496953487396240f, 0.555492222309113f,
+    0.496911078691483f,
+  0.555873334407806f, 0.496868371963501f, 0.556254446506500f,
+    0.496825367212296f,
+  0.556635499000549f, 0.496782064437866f, 0.557016491889954f,
+    0.496738493442535f,
+  0.557397484779358f, 0.496694594621658f, 0.557778418064117f,
+    0.496650427579880f,
+  0.558159291744232f, 0.496605962514877f, 0.558540165424347f,
+    0.496561229228973f,
+  0.558921039104462f, 0.496516168117523f, 0.559301853179932f,
+    0.496470838785172f,
+  0.559682607650757f, 0.496425211429596f, 0.560063362121582f,
+    0.496379286050797f,
+  0.560444056987762f, 0.496333062648773f, 0.560824692249298f,
+    0.496286571025848f,
+  0.561205327510834f, 0.496239781379700f, 0.561585903167725f,
+    0.496192663908005f,
+  0.561966478824615f, 0.496145308017731f, 0.562346994876862f,
+    0.496097624301910f,
+  0.562727510929108f, 0.496049642562866f, 0.563107967376709f,
+    0.496001392602921f,
+  0.563488364219666f, 0.495952844619751f, 0.563868701457977f,
+    0.495903998613358f,
+  0.564249038696289f, 0.495854884386063f, 0.564629375934601f,
+    0.495805442333221f,
+  0.565009593963623f, 0.495755732059479f, 0.565389811992645f,
+    0.495705723762512f,
+  0.565770030021667f, 0.495655417442322f, 0.566150128841400f,
+    0.495604842901230f,
+  0.566530287265778f, 0.495553970336914f, 0.566910326480865f,
+    0.495502769947052f,
+  0.567290365695953f, 0.495451331138611f, 0.567670345306396f,
+    0.495399564504623f,
+  0.568050265312195f, 0.495347499847412f, 0.568430185317993f,
+    0.495295166969299f,
+  0.568810045719147f, 0.495242536067963f, 0.569189906120300f,
+    0.495189607143402f,
+  0.569569647312164f, 0.495136409997940f, 0.569949388504028f,
+    0.495082914829254f,
+  0.570329129695892f, 0.495029091835022f, 0.570708811283112f,
+    0.494975030422211f,
+  0.571088373661041f, 0.494920641183853f, 0.571467995643616f,
+    0.494865983724594f,
+  0.571847498416901f, 0.494810998439789f, 0.572227001190186f,
+    0.494755744934082f,
+  0.572606444358826f, 0.494700223207474f, 0.572985887527466f,
+    0.494644373655319f,
+  0.573365211486816f, 0.494588255882263f, 0.573744535446167f,
+    0.494531840085983f,
+  0.574123859405518f, 0.494475126266479f, 0.574503064155579f,
+    0.494418144226074f,
+  0.574882268905640f, 0.494360834360123f, 0.575261414051056f,
+    0.494303256273270f,
+  0.575640499591827f, 0.494245409965515f, 0.576019585132599f,
+    0.494187235832214f,
+  0.576398611068726f, 0.494128793478012f, 0.576777577400208f,
+    0.494070053100586f,
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+  0.519936442375183f, -0.499602377414703f, 0.519553244113922f,
+    -0.499617516994476f,
+  0.519170045852661f, -0.499632388353348f, 0.518786847591400f,
+    -0.499646931886673f,
+  0.518403589725494f, -0.499661177396774f, 0.518020391464233f,
+    -0.499675154685974f,
+  0.517637133598328f, -0.499688833951950f, 0.517253875732422f,
+    -0.499702215194702f,
+  0.516870558261871f, -0.499715298414230f, 0.516487300395966f,
+    -0.499728083610535f,
+  0.516103982925415f, -0.499740600585938f, 0.515720725059509f,
+    -0.499752789735794f,
+  0.515337407588959f, -0.499764710664749f, 0.514954090118408f,
+    -0.499776333570480f,
+  0.514570772647858f, -0.499787658452988f, 0.514187395572662f,
+    -0.499798685312271f,
+  0.513804078102112f, -0.499809414148331f, 0.513420701026917f,
+    -0.499819844961166f,
+  0.513037383556366f, -0.499830007553101f, 0.512654006481171f,
+    -0.499839842319489f,
+  0.512270629405975f, -0.499849408864975f, 0.511887252330780f,
+    -0.499858677387238f,
+  0.511503815650940f, -0.499867647886276f, 0.511120438575745f,
+    -0.499876320362091f,
+  0.510737061500549f, -0.499884694814682f, 0.510353624820709f,
+    -0.499892801046371f,
+  0.509970188140869f, -0.499900579452515f, 0.509586811065674f,
+    -0.499908089637756f,
+  0.509203374385834f, -0.499915301799774f, 0.508819937705994f,
+    -0.499922215938568f,
+  0.508436501026154f, -0.499928832054138f, 0.508053064346313f,
+    -0.499935150146484f,
+  0.507669627666473f, -0.499941170215607f, 0.507286131381989f,
+    -0.499946922063828f,
+  0.506902694702148f, -0.499952346086502f, 0.506519258022308f,
+    -0.499957501888275f,
+  0.506135761737823f, -0.499962359666824f, 0.505752325057983f,
+    -0.499966919422150f,
+  0.505368828773499f, -0.499971181154251f, 0.504985332489014f,
+    -0.499975144863129f,
+  0.504601895809174f, -0.499978810548782f, 0.504218399524689f,
+    -0.499982208013535f,
+  0.503834903240204f, -0.499985307455063f, 0.503451406955719f,
+    -0.499988079071045f,
+  0.503067970275879f, -0.499990582466125f, 0.502684473991394f,
+    -0.499992787837982f,
+  0.502300977706909f, -0.499994695186615f, 0.501917481422424f,
+    -0.499996334314346f,
+  0.501533985137939f, -0.499997645616531f, 0.501150488853455f,
+    -0.499998688697815f,
+  0.500766992568970f, -0.499999403953552f, 0.500383496284485f,
+    -0.499999850988388f,
+};
+
+
+
+/**    
+* @brief  Initialization function for the floating-point RFFT/RIFFT.   
+* @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed
+* in the future.
+* @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.   
+* @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.   
+* @param[in]     fftLenReal     length of the FFT.   
+* @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
+* @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.   
+*    
+* \par Description:   
+* \par   
+* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
+* \par    
+* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par    
+* This function also initializes Twiddle factor table.     
+*/
+
+arm_status arm_rfft_init_f32(
+  arm_rfft_instance_f32 * S,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint32_t fftLenReal,
+  uint32_t ifftFlagR,
+  uint32_t bitReverseFlag)
+{
+
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialize the Real FFT length */
+  S->fftLenReal = (uint16_t) fftLenReal;
+
+  /*  Initialize the Complex FFT length */
+  S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
+
+  /*  Initialize the Twiddle coefficientA pointer */
+  S->pTwiddleAReal = (float32_t *) realCoefA;
+
+  /*  Initialize the Twiddle coefficientB pointer */
+  S->pTwiddleBReal = (float32_t *) realCoefB;
+
+  /*  Initialize the Flag for selection of RFFT or RIFFT */
+  S->ifftFlagR = (uint8_t) ifftFlagR;
+
+  /*  Initialize the Flag for calculation Bit reversal or not */
+  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLenReal)
+  {
+    /* Init table modifier value */
+  case 8192u:
+    S->twidCoefRModifier = 1u;
+    break;
+  case 2048u:
+    S->twidCoefRModifier = 4u;
+    break;
+  case 512u:
+    S->twidCoefRModifier = 16u;
+    break;
+  case 128u:
+    S->twidCoefRModifier = 64u;
+    break;
+  default:
+    /*  Reporting argument error if rfftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  /* Init Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  if(S->ifftFlagR)
+  {
+    /* Initializes the CIFFT Module for fftLenreal/2 length */
+    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);
+  }
+  else
+  {
+    /* Initializes the CFFT Module for fftLenreal/2 length */
+    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);
+  }
+
+  /* return the status of RFFT Init function */
+  return (status);
+
+}
+
+  /**    
+   * @} end of RealFFT group    
+   */
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
new file mode 100644
index 0000000..31b97b4
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q15.c
@@ -0,0 +1,2235 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_init_q15.c    
+*    
+* Description:	RFFT & RIFFT Q15 initialisation function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+/**    
+* @ingroup groupTransforms    
+*/
+
+/**    
+* @addtogroup RealFFT    
+* @{    
+*/
+
+
+
+/**    
+* \par    
+* Generation fixed-point realCoefAQ15 array in Q15 format:    
+* \par    
+* n = 4096    
+* <pre>for (i = 0; i < n; i++)    
+*  {    
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+*  } </pre>    
+* \par    
+* Convert to fixed point Q15 format    
+*       round(pATable[i] * pow(2, 15))    
+*/
+static const q15_t ALIGN4 realCoefAQ15[8192] = {
+    0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
+    0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
+    0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
+    0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
+    0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
+    0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
+    0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
+    0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
+    0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
+    0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
+    0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
+    0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
+    0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
+    0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
+    0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
+    0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
+    0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
+    0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
+    0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
+    0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
+    0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
+    0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
+    0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
+    0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
+    0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
+    0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
+    0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
+    0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
+    0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
+    0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
+    0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
+    0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
+    0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
+    0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
+    0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
+    0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
+    0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
+    0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
+    0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
+    0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
+    0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080,
+    0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086,
+    0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d,
+    0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093,
+    0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a,
+    0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1,
+    0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8,
+    0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af,
+    0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7,
+    0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be,
+    0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6,
+    0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce,
+    0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6,
+    0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de,
+    0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7,
+    0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef,
+    0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8,
+    0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100,
+    0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109,
+    0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113,
+    0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c,
+    0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125,
+    0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f,
+    0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138,
+    0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142,
+    0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c,
+    0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156,
+    0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161,
+    0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b,
+    0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176,
+    0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180,
+    0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b,
+    0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196,
+    0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2,
+    0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad,
+    0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8,
+    0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4,
+    0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0,
+    0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc,
+    0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8,
+    0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4,
+    0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201,
+    0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d,
+    0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a,
+    0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227,
+    0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234,
+    0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241,
+    0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e,
+    0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c,
+    0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269,
+    0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277,
+    0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285,
+    0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293,
+    0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1,
+    0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af,
+    0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be,
+    0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc,
+    0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db,
+    0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea,
+    0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9,
+    0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308,
+    0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318,
+    0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327,
+    0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337,
+    0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347,
+    0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357,
+    0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367,
+    0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377,
+    0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387,
+    0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398,
+    0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9,
+    0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba,
+    0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca,
+    0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc,
+    0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed,
+    0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe,
+    0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410,
+    0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422,
+    0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433,
+    0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445,
+    0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457,
+    0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a,
+    0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c,
+    0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f,
+    0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1,
+    0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4,
+    0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7,
+    0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da,
+    0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee,
+    0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501,
+    0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515,
+    0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528,
+    0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c,
+    0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550,
+    0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564,
+    0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578,
+    0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d,
+    0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1,
+    0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6,
+    0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb,
+    0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0,
+    0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5,
+    0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a,
+    0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620,
+    0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635,
+    0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b,
+    0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661,
+    0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677,
+    0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d,
+    0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3,
+    0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9,
+    0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0,
+    0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6,
+    0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd,
+    0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714,
+    0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b,
+    0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742,
+    0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a,
+    0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771,
+    0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789,
+    0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0,
+    0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8,
+    0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0,
+    0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8,
+    0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801,
+    0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819,
+    0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832,
+    0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a,
+    0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863,
+    0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c,
+    0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895,
+    0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae,
+    0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8,
+    0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1,
+    0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb,
+    0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915,
+    0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e,
+    0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948,
+    0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963,
+    0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d,
+    0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997,
+    0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2,
+    0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc,
+    0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7,
+    0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02,
+    0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d,
+    0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38,
+    0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54,
+    0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f,
+    0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b,
+    0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6,
+    0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2,
+    0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade,
+    0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa,
+    0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16,
+    0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33,
+    0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f,
+    0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c,
+    0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89,
+    0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5,
+    0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2,
+    0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0,
+    0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd,
+    0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a,
+    0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38,
+    0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55,
+    0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73,
+    0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91,
+    0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf,
+    0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd,
+    0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb,
+    0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09,
+    0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28,
+    0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46,
+    0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65,
+    0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84,
+    0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3,
+    0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2,
+    0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1,
+    0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01,
+    0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20,
+    0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40,
+    0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f,
+    0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f,
+    0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
+    0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
+    0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf,
+    0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
+    0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
+    0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40,
+    0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61,
+    0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82,
+    0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3,
+    0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
+    0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
+    0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
+    0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027,
+    0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049,
+    0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a,
+    0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c,
+    0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae,
+    0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
+    0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
+    0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114,
+    0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136,
+    0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158,
+    0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b,
+    0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
+    0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
+    0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
+    0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
+    0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229,
+    0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c,
+    0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f,
+    0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
+    0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
+    0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
+    0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd,
+    0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321,
+    0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345,
+    0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369,
+    0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d,
+    0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
+    0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
+    0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa,
+    0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e,
+    0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443,
+    0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468,
+    0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d,
+    0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2,
+    0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7,
+    0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc,
+    0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521,
+    0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547,
+    0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c,
+    0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592,
+    0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7,
+    0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd,
+    0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603,
+    0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629,
+    0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f,
+    0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675,
+    0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b,
+    0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2,
+    0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8,
+    0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f,
+    0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736,
+    0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c,
+    0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
+    0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa,
+    0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1,
+    0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8,
+    0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820,
+    0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847,
+    0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f,
+    0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896,
+    0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be,
+    0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
+    0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d,
+    0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935,
+    0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d,
+    0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985,
+    0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae,
+    0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
+    0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe,
+    0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27,
+    0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f,
+    0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78,
+    0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1,
+    0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca,
+    0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3,
+    0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c,
+    0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45,
+    0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e,
+    0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
+    0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
+    0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea,
+    0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
+    0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d,
+    0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67,
+    0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91,
+    0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb,
+    0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5,
+    0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f,
+    0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
+    0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63,
+    0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e,
+    0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8,
+    0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2,
+    0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d,
+    0x9b8, 0xde18, 0x9b2, 0xde22, 0x9ab, 0xde2d, 0x9a4, 0xde38,
+    0x99e, 0xde42, 0x997, 0xde4d, 0x991, 0xde58, 0x98a, 0xde62,
+    0x983, 0xde6d, 0x97d, 0xde78, 0x976, 0xde83, 0x970, 0xde8d,
+    0x969, 0xde98, 0x963, 0xdea3, 0x95c, 0xdead, 0x955, 0xdeb8,
+    0x94f, 0xdec3, 0x948, 0xdece, 0x942, 0xded8, 0x93b, 0xdee3,
+    0x935, 0xdeee, 0x92e, 0xdef9, 0x928, 0xdf03, 0x921, 0xdf0e,
+    0x91b, 0xdf19, 0x915, 0xdf24, 0x90e, 0xdf2f, 0x908, 0xdf39,
+    0x901, 0xdf44, 0x8fb, 0xdf4f, 0x8f4, 0xdf5a, 0x8ee, 0xdf65,
+    0x8e8, 0xdf6f, 0x8e1, 0xdf7a, 0x8db, 0xdf85, 0x8d4, 0xdf90,
+    0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb,
+    0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
+    0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012,
+    0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e,
+    0x869, 0xe049, 0x863, 0xe054, 0x85d, 0xe05e, 0x857, 0xe069,
+    0x850, 0xe074, 0x84a, 0xe07f, 0x844, 0xe08a, 0x83e, 0xe095,
+    0x838, 0xe0a0, 0x832, 0xe0ab, 0x82b, 0xe0b6, 0x825, 0xe0c1,
+    0x81f, 0xe0cc, 0x819, 0xe0d7, 0x813, 0xe0e2, 0x80d, 0xe0ed,
+    0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119,
+    0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145,
+    0x7d6, 0xe150, 0x7d0, 0xe15b, 0x7ca, 0xe166, 0x7c4, 0xe171,
+    0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d,
+    0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca,
+    0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6,
+    0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222,
+    0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f,
+    0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b,
+    0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8,
+    0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5,
+    0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
+    0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e,
+    0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b,
+    0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
+    0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5,
+    0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2,
+    0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
+    0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
+    0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
+    0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
+    0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
+    0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
+    0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
+    0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
+    0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
+    0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
+    0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
+    0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
+    0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
+    0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
+    0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
+    0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
+    0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec,
+    0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
+    0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
+    0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
+    0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
+    0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
+    0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
+    0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
+    0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
+    0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
+    0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
+    0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
+    0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
+    0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
+    0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
+    0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8,
+    0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7,
+    0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
+    0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35,
+    0x3cf, 0xea41, 0x3ca, 0xea4d, 0x3c6, 0xea59, 0x3c2, 0xea65,
+    0x3be, 0xea70, 0x3ba, 0xea7c, 0x3b5, 0xea88, 0x3b1, 0xea94,
+    0x3ad, 0xeaa0, 0x3a9, 0xeaac, 0x3a5, 0xeab7, 0x3a0, 0xeac3,
+    0x39c, 0xeacf, 0x398, 0xeadb, 0x394, 0xeae7, 0x390, 0xeaf3,
+    0x38c, 0xeaff, 0x387, 0xeb0a, 0x383, 0xeb16, 0x37f, 0xeb22,
+    0x37b, 0xeb2e, 0x377, 0xeb3a, 0x373, 0xeb46, 0x36f, 0xeb52,
+    0x36b, 0xeb5e, 0x367, 0xeb6a, 0x363, 0xeb75, 0x35f, 0xeb81,
+    0x35b, 0xeb8d, 0x357, 0xeb99, 0x353, 0xeba5, 0x34f, 0xebb1,
+    0x34b, 0xebbd, 0x347, 0xebc9, 0x343, 0xebd5, 0x33f, 0xebe1,
+    0x33b, 0xebed, 0x337, 0xebf9, 0x333, 0xec05, 0x32f, 0xec10,
+    0x32b, 0xec1c, 0x327, 0xec28, 0x323, 0xec34, 0x320, 0xec40,
+    0x31c, 0xec4c, 0x318, 0xec58, 0x314, 0xec64, 0x310, 0xec70,
+    0x30c, 0xec7c, 0x308, 0xec88, 0x305, 0xec94, 0x301, 0xeca0,
+    0x2fd, 0xecac, 0x2f9, 0xecb8, 0x2f5, 0xecc4, 0x2f2, 0xecd0,
+    0x2ee, 0xecdc, 0x2ea, 0xece8, 0x2e6, 0xecf4, 0x2e3, 0xed00,
+    0x2df, 0xed0c, 0x2db, 0xed18, 0x2d8, 0xed24, 0x2d4, 0xed30,
+    0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60,
+    0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90,
+    0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0,
+    0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0,
+    0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21,
+    0x288, 0xee2d, 0x285, 0xee39, 0x281, 0xee45, 0x27e, 0xee51,
+    0x27a, 0xee5d, 0x277, 0xee69, 0x273, 0xee75, 0x270, 0xee81,
+    0x26d, 0xee8d, 0x269, 0xee99, 0x266, 0xeea6, 0x262, 0xeeb2,
+    0x25f, 0xeebe, 0x25c, 0xeeca, 0x258, 0xeed6, 0x255, 0xeee2,
+    0x251, 0xeeee, 0x24e, 0xeefa, 0x24b, 0xef06, 0x247, 0xef13,
+    0x244, 0xef1f, 0x241, 0xef2b, 0x23e, 0xef37, 0x23a, 0xef43,
+    0x237, 0xef4f, 0x234, 0xef5b, 0x230, 0xef67, 0x22d, 0xef74,
+    0x22a, 0xef80, 0x227, 0xef8c, 0x223, 0xef98, 0x220, 0xefa4,
+    0x21d, 0xefb0, 0x21a, 0xefbc, 0x217, 0xefc9, 0x213, 0xefd5,
+    0x210, 0xefe1, 0x20d, 0xefed, 0x20a, 0xeff9, 0x207, 0xf005,
+    0x204, 0xf012, 0x201, 0xf01e, 0x1fd, 0xf02a, 0x1fa, 0xf036,
+    0x1f7, 0xf042, 0x1f4, 0xf04e, 0x1f1, 0xf05b, 0x1ee, 0xf067,
+    0x1eb, 0xf073, 0x1e8, 0xf07f, 0x1e5, 0xf08b, 0x1e2, 0xf098,
+    0x1df, 0xf0a4, 0x1dc, 0xf0b0, 0x1d9, 0xf0bc, 0x1d6, 0xf0c8,
+    0x1d3, 0xf0d5, 0x1d0, 0xf0e1, 0x1cd, 0xf0ed, 0x1ca, 0xf0f9,
+    0x1c7, 0xf105, 0x1c4, 0xf112, 0x1c1, 0xf11e, 0x1be, 0xf12a,
+    0x1bb, 0xf136, 0x1b8, 0xf143, 0x1b6, 0xf14f, 0x1b3, 0xf15b,
+    0x1b0, 0xf167, 0x1ad, 0xf174, 0x1aa, 0xf180, 0x1a7, 0xf18c,
+    0x1a4, 0xf198, 0x1a2, 0xf1a4, 0x19f, 0xf1b1, 0x19c, 0xf1bd,
+    0x199, 0xf1c9, 0x196, 0xf1d5, 0x194, 0xf1e2, 0x191, 0xf1ee,
+    0x18e, 0xf1fa, 0x18b, 0xf207, 0x189, 0xf213, 0x186, 0xf21f,
+    0x183, 0xf22b, 0x180, 0xf238, 0x17e, 0xf244, 0x17b, 0xf250,
+    0x178, 0xf25c, 0x176, 0xf269, 0x173, 0xf275, 0x170, 0xf281,
+    0x16e, 0xf28e, 0x16b, 0xf29a, 0x168, 0xf2a6, 0x166, 0xf2b2,
+    0x163, 0xf2bf, 0x161, 0xf2cb, 0x15e, 0xf2d7, 0x15b, 0xf2e4,
+    0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315,
+    0x14f, 0xf321, 0x14c, 0xf32d, 0x14a, 0xf33a, 0x147, 0xf346,
+    0x145, 0xf352, 0x142, 0xf35f, 0x140, 0xf36b, 0x13d, 0xf377,
+    0x13b, 0xf384, 0x138, 0xf390, 0x136, 0xf39c, 0x134, 0xf3a9,
+    0x131, 0xf3b5, 0x12f, 0xf3c1, 0x12c, 0xf3ce, 0x12a, 0xf3da,
+    0x128, 0xf3e6, 0x125, 0xf3f3, 0x123, 0xf3ff, 0x120, 0xf40b,
+    0x11e, 0xf418, 0x11c, 0xf424, 0x119, 0xf430, 0x117, 0xf43d,
+    0x115, 0xf449, 0x113, 0xf455, 0x110, 0xf462, 0x10e, 0xf46e,
+    0x10c, 0xf47b, 0x109, 0xf487, 0x107, 0xf493, 0x105, 0xf4a0,
+    0x103, 0xf4ac, 0x100, 0xf4b8, 0xfe, 0xf4c5, 0xfc, 0xf4d1,
+    0xfa, 0xf4dd, 0xf8, 0xf4ea, 0xf6, 0xf4f6, 0xf3, 0xf503,
+    0xf1, 0xf50f, 0xef, 0xf51b, 0xed, 0xf528, 0xeb, 0xf534,
+    0xe9, 0xf540, 0xe7, 0xf54d, 0xe4, 0xf559, 0xe2, 0xf566,
+    0xe0, 0xf572, 0xde, 0xf57e, 0xdc, 0xf58b, 0xda, 0xf597,
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+    0x11, 0xfd0e, 0x11, 0xfd1b, 0x10, 0xfd27, 0x10, 0xfd34,
+    0xf, 0xfd40, 0xf, 0xfd4d, 0xe, 0xfd5a, 0xe, 0xfd66,
+    0xd, 0xfd73, 0xd, 0xfd7f, 0xc, 0xfd8c, 0xc, 0xfd98,
+    0xb, 0xfda5, 0xb, 0xfdb2, 0xa, 0xfdbe, 0xa, 0xfdcb,
+    0x9, 0xfdd7, 0x9, 0xfde4, 0x9, 0xfdf0, 0x8, 0xfdfd,
+    0x8, 0xfe09, 0x7, 0xfe16, 0x7, 0xfe23, 0x7, 0xfe2f,
+    0x6, 0xfe3c, 0x6, 0xfe48, 0x6, 0xfe55, 0x5, 0xfe61,
+    0x5, 0xfe6e, 0x5, 0xfe7a, 0x4, 0xfe87, 0x4, 0xfe94,
+    0x4, 0xfea0, 0x4, 0xfead, 0x3, 0xfeb9, 0x3, 0xfec6,
+    0x3, 0xfed2, 0x3, 0xfedf, 0x2, 0xfeec, 0x2, 0xfef8,
+    0x2, 0xff05, 0x2, 0xff11, 0x2, 0xff1e, 0x1, 0xff2a,
+    0x1, 0xff37, 0x1, 0xff44, 0x1, 0xff50, 0x1, 0xff5d,
+    0x1, 0xff69, 0x1, 0xff76, 0x0, 0xff82, 0x0, 0xff8f,
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+    0x0, 0x32, 0x0, 0x3f, 0x0, 0x4b, 0x0, 0x58,
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+    0x1, 0xc9, 0x1, 0xd6, 0x2, 0xe2, 0x2, 0xef,
+    0x2, 0xfb, 0x2, 0x108, 0x2, 0x114, 0x3, 0x121,
+    0x3, 0x12e, 0x3, 0x13a, 0x3, 0x147, 0x4, 0x153,
+    0x4, 0x160, 0x4, 0x16c, 0x4, 0x179, 0x5, 0x186,
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+    0x6, 0x1c4, 0x7, 0x1d1, 0x7, 0x1dd, 0x7, 0x1ea,
+    0x8, 0x1f7, 0x8, 0x203, 0x9, 0x210, 0x9, 0x21c,
+    0x9, 0x229, 0xa, 0x235, 0xa, 0x242, 0xb, 0x24e,
+    0xb, 0x25b, 0xc, 0x268, 0xc, 0x274, 0xd, 0x281,
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+    0x38, 0x54c, 0x39, 0x558, 0x3a, 0x565, 0x3b, 0x571,
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+    0x59, 0x6aa, 0x5a, 0x6b6, 0x5c, 0x6c3, 0x5d, 0x6cf,
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+    0x69, 0x740, 0x6b, 0x74c, 0x6c, 0x759, 0x6e, 0x765,
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+    0x95, 0x89d, 0x97, 0x8a9, 0x98, 0x8b6, 0x9a, 0x8c2,
+    0x9c, 0x8cf, 0x9e, 0x8db, 0x9f, 0x8e8, 0xa1, 0x8f4,
+    0xa3, 0x901, 0xa5, 0x90d, 0xa6, 0x919, 0xa8, 0x926,
+    0xaa, 0x932, 0xac, 0x93f, 0xae, 0x94b, 0xaf, 0x958,
+    0xb1, 0x964, 0xb3, 0x970, 0xb5, 0x97d, 0xb7, 0x989,
+    0xb9, 0x996, 0xbb, 0x9a2, 0xbd, 0x9af, 0xbe, 0x9bb,
+    0xc0, 0x9c7, 0xc2, 0x9d4, 0xc4, 0x9e0, 0xc6, 0x9ed,
+    0xc8, 0x9f9, 0xca, 0xa06, 0xcc, 0xa12, 0xce, 0xa1e,
+    0xd0, 0xa2b, 0xd2, 0xa37, 0xd4, 0xa44, 0xd6, 0xa50,
+    0xd8, 0xa5c, 0xda, 0xa69, 0xdc, 0xa75, 0xde, 0xa82,
+    0xe0, 0xa8e, 0xe2, 0xa9a, 0xe4, 0xaa7, 0xe7, 0xab3,
+    0xe9, 0xac0, 0xeb, 0xacc, 0xed, 0xad8, 0xef, 0xae5,
+    0xf1, 0xaf1, 0xf3, 0xafd, 0xf6, 0xb0a, 0xf8, 0xb16,
+    0xfa, 0xb23, 0xfc, 0xb2f, 0xfe, 0xb3b, 0x100, 0xb48,
+    0x103, 0xb54, 0x105, 0xb60, 0x107, 0xb6d, 0x109, 0xb79,
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+    0x11e, 0xbe8, 0x120, 0xbf5, 0x123, 0xc01, 0x125, 0xc0d,
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+    0x13b, 0xc7c, 0x13d, 0xc89, 0x140, 0xc95, 0x142, 0xca1,
+    0x145, 0xcae, 0x147, 0xcba, 0x14a, 0xcc6, 0x14c, 0xcd3,
+    0x14f, 0xcdf, 0x151, 0xceb, 0x154, 0xcf8, 0x156, 0xd04,
+    0x159, 0xd10, 0x15b, 0xd1c, 0x15e, 0xd29, 0x161, 0xd35,
+    0x163, 0xd41, 0x166, 0xd4e, 0x168, 0xd5a, 0x16b, 0xd66,
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+    0x183, 0xdd5, 0x186, 0xde1, 0x189, 0xded, 0x18b, 0xdf9,
+    0x18e, 0xe06, 0x191, 0xe12, 0x194, 0xe1e, 0x196, 0xe2b,
+    0x199, 0xe37, 0x19c, 0xe43, 0x19f, 0xe4f, 0x1a2, 0xe5c,
+    0x1a4, 0xe68, 0x1a7, 0xe74, 0x1aa, 0xe80, 0x1ad, 0xe8c,
+    0x1b0, 0xe99, 0x1b3, 0xea5, 0x1b6, 0xeb1, 0x1b8, 0xebd,
+    0x1bb, 0xeca, 0x1be, 0xed6, 0x1c1, 0xee2, 0x1c4, 0xeee,
+    0x1c7, 0xefb, 0x1ca, 0xf07, 0x1cd, 0xf13, 0x1d0, 0xf1f,
+    0x1d3, 0xf2b, 0x1d6, 0xf38, 0x1d9, 0xf44, 0x1dc, 0xf50,
+    0x1df, 0xf5c, 0x1e2, 0xf68, 0x1e5, 0xf75, 0x1e8, 0xf81,
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+    0x21d, 0x1050, 0x220, 0x105c, 0x223, 0x1068, 0x227, 0x1074,
+    0x22a, 0x1080, 0x22d, 0x108c, 0x230, 0x1099, 0x234, 0x10a5,
+    0x237, 0x10b1, 0x23a, 0x10bd, 0x23e, 0x10c9, 0x241, 0x10d5,
+    0x244, 0x10e1, 0x247, 0x10ed, 0x24b, 0x10fa, 0x24e, 0x1106,
+    0x251, 0x1112, 0x255, 0x111e, 0x258, 0x112a, 0x25c, 0x1136,
+    0x25f, 0x1142, 0x262, 0x114e, 0x266, 0x115a, 0x269, 0x1167,
+    0x26d, 0x1173, 0x270, 0x117f, 0x273, 0x118b, 0x277, 0x1197,
+    0x27a, 0x11a3, 0x27e, 0x11af, 0x281, 0x11bb, 0x285, 0x11c7,
+    0x288, 0x11d3, 0x28c, 0x11df, 0x28f, 0x11eb, 0x293, 0x11f7,
+    0x296, 0x1204, 0x29a, 0x1210, 0x29d, 0x121c, 0x2a1, 0x1228,
+    0x2a5, 0x1234, 0x2a8, 0x1240, 0x2ac, 0x124c, 0x2af, 0x1258,
+    0x2b3, 0x1264, 0x2b7, 0x1270, 0x2ba, 0x127c, 0x2be, 0x1288,
+    0x2c1, 0x1294, 0x2c5, 0x12a0, 0x2c9, 0x12ac, 0x2cc, 0x12b8,
+    0x2d0, 0x12c4, 0x2d4, 0x12d0, 0x2d8, 0x12dc, 0x2db, 0x12e8,
+    0x2df, 0x12f4, 0x2e3, 0x1300, 0x2e6, 0x130c, 0x2ea, 0x1318,
+    0x2ee, 0x1324, 0x2f2, 0x1330, 0x2f5, 0x133c, 0x2f9, 0x1348,
+    0x2fd, 0x1354, 0x301, 0x1360, 0x305, 0x136c, 0x308, 0x1378,
+    0x30c, 0x1384, 0x310, 0x1390, 0x314, 0x139c, 0x318, 0x13a8,
+    0x31c, 0x13b4, 0x320, 0x13c0, 0x323, 0x13cc, 0x327, 0x13d8,
+    0x32b, 0x13e4, 0x32f, 0x13f0, 0x333, 0x13fb, 0x337, 0x1407,
+    0x33b, 0x1413, 0x33f, 0x141f, 0x343, 0x142b, 0x347, 0x1437,
+    0x34b, 0x1443, 0x34f, 0x144f, 0x353, 0x145b, 0x357, 0x1467,
+    0x35b, 0x1473, 0x35f, 0x147f, 0x363, 0x148b, 0x367, 0x1496,
+    0x36b, 0x14a2, 0x36f, 0x14ae, 0x373, 0x14ba, 0x377, 0x14c6,
+    0x37b, 0x14d2, 0x37f, 0x14de, 0x383, 0x14ea, 0x387, 0x14f6,
+    0x38c, 0x1501, 0x390, 0x150d, 0x394, 0x1519, 0x398, 0x1525,
+    0x39c, 0x1531, 0x3a0, 0x153d, 0x3a5, 0x1549, 0x3a9, 0x1554,
+    0x3ad, 0x1560, 0x3b1, 0x156c, 0x3b5, 0x1578, 0x3ba, 0x1584,
+    0x3be, 0x1590, 0x3c2, 0x159b, 0x3c6, 0x15a7, 0x3ca, 0x15b3,
+    0x3cf, 0x15bf, 0x3d3, 0x15cb, 0x3d7, 0x15d7, 0x3dc, 0x15e2,
+    0x3e0, 0x15ee, 0x3e4, 0x15fa, 0x3e9, 0x1606, 0x3ed, 0x1612,
+    0x3f1, 0x161d, 0x3f6, 0x1629, 0x3fa, 0x1635, 0x3fe, 0x1641,
+    0x403, 0x164c, 0x407, 0x1658, 0x40b, 0x1664, 0x410, 0x1670,
+    0x414, 0x167c, 0x419, 0x1687, 0x41d, 0x1693, 0x422, 0x169f,
+    0x426, 0x16ab, 0x42a, 0x16b6, 0x42f, 0x16c2, 0x433, 0x16ce,
+    0x438, 0x16da, 0x43c, 0x16e5, 0x441, 0x16f1, 0x445, 0x16fd,
+    0x44a, 0x1709, 0x44e, 0x1714, 0x453, 0x1720, 0x457, 0x172c,
+    0x45c, 0x1737, 0x461, 0x1743, 0x465, 0x174f, 0x46a, 0x175b,
+    0x46e, 0x1766, 0x473, 0x1772, 0x478, 0x177e, 0x47c, 0x1789,
+    0x481, 0x1795, 0x485, 0x17a1, 0x48a, 0x17ac, 0x48f, 0x17b8,
+    0x493, 0x17c4, 0x498, 0x17cf, 0x49d, 0x17db, 0x4a1, 0x17e7,
+    0x4a6, 0x17f2, 0x4ab, 0x17fe, 0x4b0, 0x180a, 0x4b4, 0x1815,
+    0x4b9, 0x1821, 0x4be, 0x182d, 0x4c2, 0x1838, 0x4c7, 0x1844,
+    0x4cc, 0x184f, 0x4d1, 0x185b, 0x4d6, 0x1867, 0x4da, 0x1872,
+    0x4df, 0x187e, 0x4e4, 0x1889, 0x4e9, 0x1895, 0x4ee, 0x18a1,
+    0x4f2, 0x18ac, 0x4f7, 0x18b8, 0x4fc, 0x18c3, 0x501, 0x18cf,
+    0x506, 0x18db, 0x50b, 0x18e6, 0x510, 0x18f2, 0x515, 0x18fd,
+    0x51a, 0x1909, 0x51e, 0x1914, 0x523, 0x1920, 0x528, 0x192c,
+    0x52d, 0x1937, 0x532, 0x1943, 0x537, 0x194e, 0x53c, 0x195a,
+    0x541, 0x1965, 0x546, 0x1971, 0x54b, 0x197c, 0x550, 0x1988,
+    0x555, 0x1993, 0x55a, 0x199f, 0x55f, 0x19aa, 0x564, 0x19b6,
+    0x569, 0x19c1, 0x56e, 0x19cd, 0x573, 0x19d8, 0x578, 0x19e4,
+    0x57e, 0x19ef, 0x583, 0x19fb, 0x588, 0x1a06, 0x58d, 0x1a12,
+    0x592, 0x1a1d, 0x597, 0x1a29, 0x59c, 0x1a34, 0x5a1, 0x1a40,
+    0x5a7, 0x1a4b, 0x5ac, 0x1a57, 0x5b1, 0x1a62, 0x5b6, 0x1a6e,
+    0x5bb, 0x1a79, 0x5c1, 0x1a84, 0x5c6, 0x1a90, 0x5cb, 0x1a9b,
+    0x5d0, 0x1aa7, 0x5d5, 0x1ab2, 0x5db, 0x1abe, 0x5e0, 0x1ac9,
+    0x5e5, 0x1ad4, 0x5ea, 0x1ae0, 0x5f0, 0x1aeb, 0x5f5, 0x1af7,
+    0x5fa, 0x1b02, 0x600, 0x1b0d, 0x605, 0x1b19, 0x60a, 0x1b24,
+    0x610, 0x1b30, 0x615, 0x1b3b, 0x61a, 0x1b46, 0x620, 0x1b52,
+    0x625, 0x1b5d, 0x62a, 0x1b68, 0x630, 0x1b74, 0x635, 0x1b7f,
+    0x63b, 0x1b8a, 0x640, 0x1b96, 0x645, 0x1ba1, 0x64b, 0x1bac,
+    0x650, 0x1bb8, 0x656, 0x1bc3, 0x65b, 0x1bce, 0x661, 0x1bda,
+    0x666, 0x1be5, 0x66c, 0x1bf0, 0x671, 0x1bfc, 0x677, 0x1c07,
+    0x67c, 0x1c12, 0x682, 0x1c1e, 0x687, 0x1c29, 0x68d, 0x1c34,
+    0x692, 0x1c3f, 0x698, 0x1c4b, 0x69d, 0x1c56, 0x6a3, 0x1c61,
+    0x6a8, 0x1c6c, 0x6ae, 0x1c78, 0x6b4, 0x1c83, 0x6b9, 0x1c8e,
+    0x6bf, 0x1c99, 0x6c5, 0x1ca5, 0x6ca, 0x1cb0, 0x6d0, 0x1cbb,
+    0x6d5, 0x1cc6, 0x6db, 0x1cd2, 0x6e1, 0x1cdd, 0x6e6, 0x1ce8,
+    0x6ec, 0x1cf3, 0x6f2, 0x1cff, 0x6f7, 0x1d0a, 0x6fd, 0x1d15,
+    0x703, 0x1d20, 0x709, 0x1d2b, 0x70e, 0x1d36, 0x714, 0x1d42,
+    0x71a, 0x1d4d, 0x720, 0x1d58, 0x725, 0x1d63, 0x72b, 0x1d6e,
+    0x731, 0x1d79, 0x737, 0x1d85, 0x73d, 0x1d90, 0x742, 0x1d9b,
+    0x748, 0x1da6, 0x74e, 0x1db1, 0x754, 0x1dbc, 0x75a, 0x1dc7,
+    0x75f, 0x1dd3, 0x765, 0x1dde, 0x76b, 0x1de9, 0x771, 0x1df4,
+    0x777, 0x1dff, 0x77d, 0x1e0a, 0x783, 0x1e15, 0x789, 0x1e20,
+    0x78f, 0x1e2b, 0x795, 0x1e36, 0x79a, 0x1e42, 0x7a0, 0x1e4d,
+    0x7a6, 0x1e58, 0x7ac, 0x1e63, 0x7b2, 0x1e6e, 0x7b8, 0x1e79,
+    0x7be, 0x1e84, 0x7c4, 0x1e8f, 0x7ca, 0x1e9a, 0x7d0, 0x1ea5,
+    0x7d6, 0x1eb0, 0x7dc, 0x1ebb, 0x7e2, 0x1ec6, 0x7e8, 0x1ed1,
+    0x7ee, 0x1edc, 0x7f5, 0x1ee7, 0x7fb, 0x1ef2, 0x801, 0x1efd,
+    0x807, 0x1f08, 0x80d, 0x1f13, 0x813, 0x1f1e, 0x819, 0x1f29,
+    0x81f, 0x1f34, 0x825, 0x1f3f, 0x82b, 0x1f4a, 0x832, 0x1f55,
+    0x838, 0x1f60, 0x83e, 0x1f6b, 0x844, 0x1f76, 0x84a, 0x1f81,
+    0x850, 0x1f8c, 0x857, 0x1f97, 0x85d, 0x1fa2, 0x863, 0x1fac,
+    0x869, 0x1fb7, 0x870, 0x1fc2, 0x876, 0x1fcd, 0x87c, 0x1fd8,
+    0x882, 0x1fe3, 0x889, 0x1fee, 0x88f, 0x1ff9, 0x895, 0x2004,
+    0x89b, 0x200f, 0x8a2, 0x2019, 0x8a8, 0x2024, 0x8ae, 0x202f,
+    0x8b5, 0x203a, 0x8bb, 0x2045, 0x8c1, 0x2050, 0x8c8, 0x205b,
+    0x8ce, 0x2065, 0x8d4, 0x2070, 0x8db, 0x207b, 0x8e1, 0x2086,
+    0x8e8, 0x2091, 0x8ee, 0x209b, 0x8f4, 0x20a6, 0x8fb, 0x20b1,
+    0x901, 0x20bc, 0x908, 0x20c7, 0x90e, 0x20d1, 0x915, 0x20dc,
+    0x91b, 0x20e7, 0x921, 0x20f2, 0x928, 0x20fd, 0x92e, 0x2107,
+    0x935, 0x2112, 0x93b, 0x211d, 0x942, 0x2128, 0x948, 0x2132,
+    0x94f, 0x213d, 0x955, 0x2148, 0x95c, 0x2153, 0x963, 0x215d,
+    0x969, 0x2168, 0x970, 0x2173, 0x976, 0x217d, 0x97d, 0x2188,
+    0x983, 0x2193, 0x98a, 0x219e, 0x991, 0x21a8, 0x997, 0x21b3,
+    0x99e, 0x21be, 0x9a4, 0x21c8, 0x9ab, 0x21d3, 0x9b2, 0x21de,
+    0x9b8, 0x21e8, 0x9bf, 0x21f3, 0x9c6, 0x21fe, 0x9cc, 0x2208,
+    0x9d3, 0x2213, 0x9da, 0x221e, 0x9e0, 0x2228, 0x9e7, 0x2233,
+    0x9ee, 0x223d, 0x9f5, 0x2248, 0x9fb, 0x2253, 0xa02, 0x225d,
+    0xa09, 0x2268, 0xa10, 0x2272, 0xa16, 0x227d, 0xa1d, 0x2288,
+    0xa24, 0x2292, 0xa2b, 0x229d, 0xa32, 0x22a7, 0xa38, 0x22b2,
+    0xa3f, 0x22bc, 0xa46, 0x22c7, 0xa4d, 0x22d2, 0xa54, 0x22dc,
+    0xa5b, 0x22e7, 0xa61, 0x22f1, 0xa68, 0x22fc, 0xa6f, 0x2306,
+    0xa76, 0x2311, 0xa7d, 0x231b, 0xa84, 0x2326, 0xa8b, 0x2330,
+    0xa92, 0x233b, 0xa99, 0x2345, 0xa9f, 0x2350, 0xaa6, 0x235a,
+    0xaad, 0x2365, 0xab4, 0x236f, 0xabb, 0x237a, 0xac2, 0x2384,
+    0xac9, 0x238e, 0xad0, 0x2399, 0xad7, 0x23a3, 0xade, 0x23ae,
+    0xae5, 0x23b8, 0xaec, 0x23c3, 0xaf3, 0x23cd, 0xafa, 0x23d7,
+    0xb01, 0x23e2, 0xb08, 0x23ec, 0xb0f, 0x23f7, 0xb16, 0x2401,
+    0xb1e, 0x240b, 0xb25, 0x2416, 0xb2c, 0x2420, 0xb33, 0x242b,
+    0xb3a, 0x2435, 0xb41, 0x243f, 0xb48, 0x244a, 0xb4f, 0x2454,
+    0xb56, 0x245e, 0xb5e, 0x2469, 0xb65, 0x2473, 0xb6c, 0x247d,
+    0xb73, 0x2488, 0xb7a, 0x2492, 0xb81, 0x249c, 0xb89, 0x24a7,
+    0xb90, 0x24b1, 0xb97, 0x24bb, 0xb9e, 0x24c5, 0xba5, 0x24d0,
+    0xbad, 0x24da, 0xbb4, 0x24e4, 0xbbb, 0x24ef, 0xbc2, 0x24f9,
+    0xbca, 0x2503, 0xbd1, 0x250d, 0xbd8, 0x2518, 0xbe0, 0x2522,
+    0xbe7, 0x252c, 0xbee, 0x2536, 0xbf5, 0x2541, 0xbfd, 0x254b,
+    0xc04, 0x2555, 0xc0b, 0x255f, 0xc13, 0x2569, 0xc1a, 0x2574,
+    0xc21, 0x257e, 0xc29, 0x2588, 0xc30, 0x2592, 0xc38, 0x259c,
+    0xc3f, 0x25a6, 0xc46, 0x25b1, 0xc4e, 0x25bb, 0xc55, 0x25c5,
+    0xc5d, 0x25cf, 0xc64, 0x25d9, 0xc6b, 0x25e3, 0xc73, 0x25ed,
+    0xc7a, 0x25f8, 0xc82, 0x2602, 0xc89, 0x260c, 0xc91, 0x2616,
+    0xc98, 0x2620, 0xca0, 0x262a, 0xca7, 0x2634, 0xcaf, 0x263e,
+    0xcb6, 0x2648, 0xcbe, 0x2652, 0xcc5, 0x265c, 0xccd, 0x2666,
+    0xcd4, 0x2671, 0xcdc, 0x267b, 0xce3, 0x2685, 0xceb, 0x268f,
+    0xcf3, 0x2699, 0xcfa, 0x26a3, 0xd02, 0x26ad, 0xd09, 0x26b7,
+    0xd11, 0x26c1, 0xd19, 0x26cb, 0xd20, 0x26d5, 0xd28, 0x26df,
+    0xd30, 0x26e9, 0xd37, 0x26f3, 0xd3f, 0x26fd, 0xd46, 0x2707,
+    0xd4e, 0x2711, 0xd56, 0x271a, 0xd5d, 0x2724, 0xd65, 0x272e,
+    0xd6d, 0x2738, 0xd75, 0x2742, 0xd7c, 0x274c, 0xd84, 0x2756,
+    0xd8c, 0x2760, 0xd93, 0x276a, 0xd9b, 0x2774, 0xda3, 0x277e,
+    0xdab, 0x2788, 0xdb2, 0x2791, 0xdba, 0x279b, 0xdc2, 0x27a5,
+    0xdca, 0x27af, 0xdd2, 0x27b9, 0xdd9, 0x27c3, 0xde1, 0x27cd,
+    0xde9, 0x27d6, 0xdf1, 0x27e0, 0xdf9, 0x27ea, 0xe01, 0x27f4,
+    0xe08, 0x27fe, 0xe10, 0x2808, 0xe18, 0x2811, 0xe20, 0x281b,
+    0xe28, 0x2825, 0xe30, 0x282f, 0xe38, 0x2838, 0xe40, 0x2842,
+    0xe47, 0x284c, 0xe4f, 0x2856, 0xe57, 0x2860, 0xe5f, 0x2869,
+    0xe67, 0x2873, 0xe6f, 0x287d, 0xe77, 0x2886, 0xe7f, 0x2890,
+    0xe87, 0x289a, 0xe8f, 0x28a4, 0xe97, 0x28ad, 0xe9f, 0x28b7,
+    0xea7, 0x28c1, 0xeaf, 0x28ca, 0xeb7, 0x28d4, 0xebf, 0x28de,
+    0xec7, 0x28e7, 0xecf, 0x28f1, 0xed7, 0x28fb, 0xedf, 0x2904,
+    0xee7, 0x290e, 0xeef, 0x2918, 0xef7, 0x2921, 0xeff, 0x292b,
+    0xf07, 0x2935, 0xf10, 0x293e, 0xf18, 0x2948, 0xf20, 0x2951,
+    0xf28, 0x295b, 0xf30, 0x2965, 0xf38, 0x296e, 0xf40, 0x2978,
+    0xf48, 0x2981, 0xf51, 0x298b, 0xf59, 0x2994, 0xf61, 0x299e,
+    0xf69, 0x29a7, 0xf71, 0x29b1, 0xf79, 0x29bb, 0xf82, 0x29c4,
+    0xf8a, 0x29ce, 0xf92, 0x29d7, 0xf9a, 0x29e1, 0xfa3, 0x29ea,
+    0xfab, 0x29f4, 0xfb3, 0x29fd, 0xfbb, 0x2a07, 0xfc4, 0x2a10,
+    0xfcc, 0x2a1a, 0xfd4, 0x2a23, 0xfdc, 0x2a2c, 0xfe5, 0x2a36,
+    0xfed, 0x2a3f, 0xff5, 0x2a49, 0xffe, 0x2a52, 0x1006, 0x2a5c,
+    0x100e, 0x2a65, 0x1016, 0x2a6e, 0x101f, 0x2a78, 0x1027, 0x2a81,
+    0x1030, 0x2a8b, 0x1038, 0x2a94, 0x1040, 0x2a9d, 0x1049, 0x2aa7,
+    0x1051, 0x2ab0, 0x1059, 0x2ab9, 0x1062, 0x2ac3, 0x106a, 0x2acc,
+    0x1073, 0x2ad6, 0x107b, 0x2adf, 0x1083, 0x2ae8, 0x108c, 0x2af2,
+    0x1094, 0x2afb, 0x109d, 0x2b04, 0x10a5, 0x2b0d, 0x10ae, 0x2b17,
+    0x10b6, 0x2b20, 0x10bf, 0x2b29, 0x10c7, 0x2b33, 0x10d0, 0x2b3c,
+    0x10d8, 0x2b45, 0x10e0, 0x2b4e, 0x10e9, 0x2b58, 0x10f2, 0x2b61,
+    0x10fa, 0x2b6a, 0x1103, 0x2b73, 0x110b, 0x2b7d, 0x1114, 0x2b86,
+    0x111c, 0x2b8f, 0x1125, 0x2b98, 0x112d, 0x2ba1, 0x1136, 0x2bab,
+    0x113e, 0x2bb4, 0x1147, 0x2bbd, 0x1150, 0x2bc6, 0x1158, 0x2bcf,
+    0x1161, 0x2bd8, 0x1169, 0x2be2, 0x1172, 0x2beb, 0x117b, 0x2bf4,
+    0x1183, 0x2bfd, 0x118c, 0x2c06, 0x1195, 0x2c0f, 0x119d, 0x2c18,
+    0x11a6, 0x2c21, 0x11af, 0x2c2b, 0x11b7, 0x2c34, 0x11c0, 0x2c3d,
+    0x11c9, 0x2c46, 0x11d1, 0x2c4f, 0x11da, 0x2c58, 0x11e3, 0x2c61,
+    0x11eb, 0x2c6a, 0x11f4, 0x2c73, 0x11fd, 0x2c7c, 0x1206, 0x2c85,
+    0x120e, 0x2c8e, 0x1217, 0x2c97, 0x1220, 0x2ca0, 0x1229, 0x2ca9,
+    0x1231, 0x2cb2, 0x123a, 0x2cbb, 0x1243, 0x2cc4, 0x124c, 0x2ccd,
+    0x1255, 0x2cd6, 0x125d, 0x2cdf, 0x1266, 0x2ce8, 0x126f, 0x2cf1,
+    0x1278, 0x2cfa, 0x1281, 0x2d03, 0x128a, 0x2d0c, 0x1292, 0x2d15,
+    0x129b, 0x2d1e, 0x12a4, 0x2d27, 0x12ad, 0x2d2f, 0x12b6, 0x2d38,
+    0x12bf, 0x2d41, 0x12c8, 0x2d4a, 0x12d1, 0x2d53, 0x12d9, 0x2d5c,
+    0x12e2, 0x2d65, 0x12eb, 0x2d6e, 0x12f4, 0x2d76, 0x12fd, 0x2d7f,
+    0x1306, 0x2d88, 0x130f, 0x2d91, 0x1318, 0x2d9a, 0x1321, 0x2da3,
+    0x132a, 0x2dab, 0x1333, 0x2db4, 0x133c, 0x2dbd, 0x1345, 0x2dc6,
+    0x134e, 0x2dcf, 0x1357, 0x2dd7, 0x1360, 0x2de0, 0x1369, 0x2de9,
+    0x1372, 0x2df2, 0x137b, 0x2dfa, 0x1384, 0x2e03, 0x138d, 0x2e0c,
+    0x1396, 0x2e15, 0x139f, 0x2e1d, 0x13a8, 0x2e26, 0x13b1, 0x2e2f,
+    0x13ba, 0x2e37, 0x13c3, 0x2e40, 0x13cc, 0x2e49, 0x13d5, 0x2e51,
+    0x13df, 0x2e5a, 0x13e8, 0x2e63, 0x13f1, 0x2e6b, 0x13fa, 0x2e74,
+    0x1403, 0x2e7d, 0x140c, 0x2e85, 0x1415, 0x2e8e, 0x141e, 0x2e97,
+    0x1428, 0x2e9f, 0x1431, 0x2ea8, 0x143a, 0x2eb0, 0x1443, 0x2eb9,
+    0x144c, 0x2ec2, 0x1455, 0x2eca, 0x145f, 0x2ed3, 0x1468, 0x2edb,
+    0x1471, 0x2ee4, 0x147a, 0x2eec, 0x1483, 0x2ef5, 0x148d, 0x2efd,
+    0x1496, 0x2f06, 0x149f, 0x2f0e, 0x14a8, 0x2f17, 0x14b2, 0x2f20,
+    0x14bb, 0x2f28, 0x14c4, 0x2f30, 0x14cd, 0x2f39, 0x14d7, 0x2f41,
+    0x14e0, 0x2f4a, 0x14e9, 0x2f52, 0x14f3, 0x2f5b, 0x14fc, 0x2f63,
+    0x1505, 0x2f6c, 0x150e, 0x2f74, 0x1518, 0x2f7d, 0x1521, 0x2f85,
+    0x152a, 0x2f8d, 0x1534, 0x2f96, 0x153d, 0x2f9e, 0x1547, 0x2fa7,
+    0x1550, 0x2faf, 0x1559, 0x2fb7, 0x1563, 0x2fc0, 0x156c, 0x2fc8,
+    0x1575, 0x2fd0, 0x157f, 0x2fd9, 0x1588, 0x2fe1, 0x1592, 0x2fea,
+    0x159b, 0x2ff2, 0x15a4, 0x2ffa, 0x15ae, 0x3002, 0x15b7, 0x300b,
+    0x15c1, 0x3013, 0x15ca, 0x301b, 0x15d4, 0x3024, 0x15dd, 0x302c,
+    0x15e6, 0x3034, 0x15f0, 0x303c, 0x15f9, 0x3045, 0x1603, 0x304d,
+    0x160c, 0x3055, 0x1616, 0x305d, 0x161f, 0x3066, 0x1629, 0x306e,
+    0x1632, 0x3076, 0x163c, 0x307e, 0x1645, 0x3087, 0x164f, 0x308f,
+    0x1659, 0x3097, 0x1662, 0x309f, 0x166c, 0x30a7, 0x1675, 0x30af,
+    0x167f, 0x30b8, 0x1688, 0x30c0, 0x1692, 0x30c8, 0x169b, 0x30d0,
+    0x16a5, 0x30d8, 0x16af, 0x30e0, 0x16b8, 0x30e8, 0x16c2, 0x30f0,
+    0x16cb, 0x30f9, 0x16d5, 0x3101, 0x16df, 0x3109, 0x16e8, 0x3111,
+    0x16f2, 0x3119, 0x16fc, 0x3121, 0x1705, 0x3129, 0x170f, 0x3131,
+    0x1719, 0x3139, 0x1722, 0x3141, 0x172c, 0x3149, 0x1736, 0x3151,
+    0x173f, 0x3159, 0x1749, 0x3161, 0x1753, 0x3169, 0x175c, 0x3171,
+    0x1766, 0x3179, 0x1770, 0x3181, 0x177a, 0x3189, 0x1783, 0x3191,
+    0x178d, 0x3199, 0x1797, 0x31a1, 0x17a0, 0x31a9, 0x17aa, 0x31b1,
+    0x17b4, 0x31b9, 0x17be, 0x31c0, 0x17c8, 0x31c8, 0x17d1, 0x31d0,
+    0x17db, 0x31d8, 0x17e5, 0x31e0, 0x17ef, 0x31e8, 0x17f8, 0x31f0,
+    0x1802, 0x31f8, 0x180c, 0x31ff, 0x1816, 0x3207, 0x1820, 0x320f,
+    0x182a, 0x3217, 0x1833, 0x321f, 0x183d, 0x3227, 0x1847, 0x322e,
+    0x1851, 0x3236, 0x185b, 0x323e, 0x1865, 0x3246, 0x186f, 0x324e,
+    0x1878, 0x3255, 0x1882, 0x325d, 0x188c, 0x3265, 0x1896, 0x326d,
+    0x18a0, 0x3274, 0x18aa, 0x327c, 0x18b4, 0x3284, 0x18be, 0x328b,
+    0x18c8, 0x3293, 0x18d2, 0x329b, 0x18dc, 0x32a3, 0x18e6, 0x32aa,
+    0x18ef, 0x32b2, 0x18f9, 0x32ba, 0x1903, 0x32c1, 0x190d, 0x32c9,
+    0x1917, 0x32d0, 0x1921, 0x32d8, 0x192b, 0x32e0, 0x1935, 0x32e7,
+    0x193f, 0x32ef, 0x1949, 0x32f7, 0x1953, 0x32fe, 0x195d, 0x3306,
+    0x1967, 0x330d, 0x1971, 0x3315, 0x197b, 0x331d, 0x1985, 0x3324,
+    0x198f, 0x332c, 0x199a, 0x3333, 0x19a4, 0x333b, 0x19ae, 0x3342,
+    0x19b8, 0x334a, 0x19c2, 0x3351, 0x19cc, 0x3359, 0x19d6, 0x3360,
+    0x19e0, 0x3368, 0x19ea, 0x336f, 0x19f4, 0x3377, 0x19fe, 0x337e,
+    0x1a08, 0x3386, 0x1a13, 0x338d, 0x1a1d, 0x3395, 0x1a27, 0x339c,
+    0x1a31, 0x33a3, 0x1a3b, 0x33ab, 0x1a45, 0x33b2, 0x1a4f, 0x33ba,
+    0x1a5a, 0x33c1, 0x1a64, 0x33c8, 0x1a6e, 0x33d0, 0x1a78, 0x33d7,
+    0x1a82, 0x33df, 0x1a8c, 0x33e6, 0x1a97, 0x33ed, 0x1aa1, 0x33f5,
+    0x1aab, 0x33fc, 0x1ab5, 0x3403, 0x1abf, 0x340b, 0x1aca, 0x3412,
+    0x1ad4, 0x3419, 0x1ade, 0x3420, 0x1ae8, 0x3428, 0x1af3, 0x342f,
+    0x1afd, 0x3436, 0x1b07, 0x343e, 0x1b11, 0x3445, 0x1b1c, 0x344c,
+    0x1b26, 0x3453, 0x1b30, 0x345b, 0x1b3b, 0x3462, 0x1b45, 0x3469,
+    0x1b4f, 0x3470, 0x1b59, 0x3477, 0x1b64, 0x347f, 0x1b6e, 0x3486,
+    0x1b78, 0x348d, 0x1b83, 0x3494, 0x1b8d, 0x349b, 0x1b97, 0x34a2,
+    0x1ba2, 0x34aa, 0x1bac, 0x34b1, 0x1bb6, 0x34b8, 0x1bc1, 0x34bf,
+    0x1bcb, 0x34c6, 0x1bd5, 0x34cd, 0x1be0, 0x34d4, 0x1bea, 0x34db,
+    0x1bf5, 0x34e2, 0x1bff, 0x34ea, 0x1c09, 0x34f1, 0x1c14, 0x34f8,
+    0x1c1e, 0x34ff, 0x1c29, 0x3506, 0x1c33, 0x350d, 0x1c3d, 0x3514,
+    0x1c48, 0x351b, 0x1c52, 0x3522, 0x1c5d, 0x3529, 0x1c67, 0x3530,
+    0x1c72, 0x3537, 0x1c7c, 0x353e, 0x1c86, 0x3545, 0x1c91, 0x354c,
+    0x1c9b, 0x3553, 0x1ca6, 0x355a, 0x1cb0, 0x3561, 0x1cbb, 0x3567,
+    0x1cc5, 0x356e, 0x1cd0, 0x3575, 0x1cda, 0x357c, 0x1ce5, 0x3583,
+    0x1cef, 0x358a, 0x1cfa, 0x3591, 0x1d04, 0x3598, 0x1d0f, 0x359f,
+    0x1d19, 0x35a5, 0x1d24, 0x35ac, 0x1d2e, 0x35b3, 0x1d39, 0x35ba,
+    0x1d44, 0x35c1, 0x1d4e, 0x35c8, 0x1d59, 0x35ce, 0x1d63, 0x35d5,
+    0x1d6e, 0x35dc, 0x1d78, 0x35e3, 0x1d83, 0x35ea, 0x1d8e, 0x35f0,
+    0x1d98, 0x35f7, 0x1da3, 0x35fe, 0x1dad, 0x3605, 0x1db8, 0x360b,
+    0x1dc3, 0x3612, 0x1dcd, 0x3619, 0x1dd8, 0x3620, 0x1de2, 0x3626,
+    0x1ded, 0x362d, 0x1df8, 0x3634, 0x1e02, 0x363a, 0x1e0d, 0x3641,
+    0x1e18, 0x3648, 0x1e22, 0x364e, 0x1e2d, 0x3655, 0x1e38, 0x365c,
+    0x1e42, 0x3662, 0x1e4d, 0x3669, 0x1e58, 0x366f, 0x1e62, 0x3676,
+    0x1e6d, 0x367d, 0x1e78, 0x3683, 0x1e83, 0x368a, 0x1e8d, 0x3690,
+    0x1e98, 0x3697, 0x1ea3, 0x369d, 0x1ead, 0x36a4, 0x1eb8, 0x36ab,
+    0x1ec3, 0x36b1, 0x1ece, 0x36b8, 0x1ed8, 0x36be, 0x1ee3, 0x36c5,
+    0x1eee, 0x36cb, 0x1ef9, 0x36d2, 0x1f03, 0x36d8, 0x1f0e, 0x36df,
+    0x1f19, 0x36e5, 0x1f24, 0x36eb, 0x1f2f, 0x36f2, 0x1f39, 0x36f8,
+    0x1f44, 0x36ff, 0x1f4f, 0x3705, 0x1f5a, 0x370c, 0x1f65, 0x3712,
+    0x1f6f, 0x3718, 0x1f7a, 0x371f, 0x1f85, 0x3725, 0x1f90, 0x372c,
+    0x1f9b, 0x3732, 0x1fa5, 0x3738, 0x1fb0, 0x373f, 0x1fbb, 0x3745,
+    0x1fc6, 0x374b, 0x1fd1, 0x3752, 0x1fdc, 0x3758, 0x1fe7, 0x375e,
+    0x1ff1, 0x3765, 0x1ffc, 0x376b, 0x2007, 0x3771, 0x2012, 0x3777,
+    0x201d, 0x377e, 0x2028, 0x3784, 0x2033, 0x378a, 0x203e, 0x3790,
+    0x2049, 0x3797, 0x2054, 0x379d, 0x205e, 0x37a3, 0x2069, 0x37a9,
+    0x2074, 0x37b0, 0x207f, 0x37b6, 0x208a, 0x37bc, 0x2095, 0x37c2,
+    0x20a0, 0x37c8, 0x20ab, 0x37ce, 0x20b6, 0x37d5, 0x20c1, 0x37db,
+    0x20cc, 0x37e1, 0x20d7, 0x37e7, 0x20e2, 0x37ed, 0x20ed, 0x37f3,
+    0x20f8, 0x37f9, 0x2103, 0x37ff, 0x210e, 0x3805, 0x2119, 0x380b,
+    0x2124, 0x3812, 0x212f, 0x3818, 0x213a, 0x381e, 0x2145, 0x3824,
+    0x2150, 0x382a, 0x215b, 0x3830, 0x2166, 0x3836, 0x2171, 0x383c,
+    0x217c, 0x3842, 0x2187, 0x3848, 0x2192, 0x384e, 0x219d, 0x3854,
+    0x21a8, 0x385a, 0x21b3, 0x3860, 0x21be, 0x3866, 0x21ca, 0x386b,
+    0x21d5, 0x3871, 0x21e0, 0x3877, 0x21eb, 0x387d, 0x21f6, 0x3883,
+    0x2201, 0x3889, 0x220c, 0x388f, 0x2217, 0x3895, 0x2222, 0x389b,
+    0x222d, 0x38a1, 0x2239, 0x38a6, 0x2244, 0x38ac, 0x224f, 0x38b2,
+    0x225a, 0x38b8, 0x2265, 0x38be, 0x2270, 0x38c3, 0x227b, 0x38c9,
+    0x2287, 0x38cf, 0x2292, 0x38d5, 0x229d, 0x38db, 0x22a8, 0x38e0,
+    0x22b3, 0x38e6, 0x22be, 0x38ec, 0x22ca, 0x38f2, 0x22d5, 0x38f7,
+    0x22e0, 0x38fd, 0x22eb, 0x3903, 0x22f6, 0x3909, 0x2301, 0x390e,
+    0x230d, 0x3914, 0x2318, 0x391a, 0x2323, 0x391f, 0x232e, 0x3925,
+    0x233a, 0x392b, 0x2345, 0x3930, 0x2350, 0x3936, 0x235b, 0x393b,
+    0x2367, 0x3941, 0x2372, 0x3947, 0x237d, 0x394c, 0x2388, 0x3952,
+    0x2394, 0x3958, 0x239f, 0x395d, 0x23aa, 0x3963, 0x23b5, 0x3968,
+    0x23c1, 0x396e, 0x23cc, 0x3973, 0x23d7, 0x3979, 0x23e2, 0x397e,
+    0x23ee, 0x3984, 0x23f9, 0x3989, 0x2404, 0x398f, 0x2410, 0x3994,
+    0x241b, 0x399a, 0x2426, 0x399f, 0x2432, 0x39a5, 0x243d, 0x39aa,
+    0x2448, 0x39b0, 0x2454, 0x39b5, 0x245f, 0x39bb, 0x246a, 0x39c0,
+    0x2476, 0x39c5, 0x2481, 0x39cb, 0x248c, 0x39d0, 0x2498, 0x39d6,
+    0x24a3, 0x39db, 0x24ae, 0x39e0, 0x24ba, 0x39e6, 0x24c5, 0x39eb,
+    0x24d0, 0x39f0, 0x24dc, 0x39f6, 0x24e7, 0x39fb, 0x24f3, 0x3a00,
+    0x24fe, 0x3a06, 0x2509, 0x3a0b, 0x2515, 0x3a10, 0x2520, 0x3a16,
+    0x252c, 0x3a1b, 0x2537, 0x3a20, 0x2542, 0x3a25, 0x254e, 0x3a2b,
+    0x2559, 0x3a30, 0x2565, 0x3a35, 0x2570, 0x3a3a, 0x257c, 0x3a3f,
+    0x2587, 0x3a45, 0x2592, 0x3a4a, 0x259e, 0x3a4f, 0x25a9, 0x3a54,
+    0x25b5, 0x3a59, 0x25c0, 0x3a5f, 0x25cc, 0x3a64, 0x25d7, 0x3a69,
+    0x25e3, 0x3a6e, 0x25ee, 0x3a73, 0x25fa, 0x3a78, 0x2605, 0x3a7d,
+    0x2611, 0x3a82, 0x261c, 0x3a88, 0x2628, 0x3a8d, 0x2633, 0x3a92,
+    0x263f, 0x3a97, 0x264a, 0x3a9c, 0x2656, 0x3aa1, 0x2661, 0x3aa6,
+    0x266d, 0x3aab, 0x2678, 0x3ab0, 0x2684, 0x3ab5, 0x268f, 0x3aba,
+    0x269b, 0x3abf, 0x26a6, 0x3ac4, 0x26b2, 0x3ac9, 0x26bd, 0x3ace,
+    0x26c9, 0x3ad3, 0x26d4, 0x3ad8, 0x26e0, 0x3add, 0x26ec, 0x3ae2,
+    0x26f7, 0x3ae6, 0x2703, 0x3aeb, 0x270e, 0x3af0, 0x271a, 0x3af5,
+    0x2725, 0x3afa, 0x2731, 0x3aff, 0x273d, 0x3b04, 0x2748, 0x3b09,
+    0x2754, 0x3b0e, 0x275f, 0x3b12, 0x276b, 0x3b17, 0x2777, 0x3b1c,
+    0x2782, 0x3b21, 0x278e, 0x3b26, 0x2799, 0x3b2a, 0x27a5, 0x3b2f,
+    0x27b1, 0x3b34, 0x27bc, 0x3b39, 0x27c8, 0x3b3e, 0x27d3, 0x3b42,
+    0x27df, 0x3b47, 0x27eb, 0x3b4c, 0x27f6, 0x3b50, 0x2802, 0x3b55,
+    0x280e, 0x3b5a, 0x2819, 0x3b5f, 0x2825, 0x3b63, 0x2831, 0x3b68,
+    0x283c, 0x3b6d, 0x2848, 0x3b71, 0x2854, 0x3b76, 0x285f, 0x3b7b,
+    0x286b, 0x3b7f, 0x2877, 0x3b84, 0x2882, 0x3b88, 0x288e, 0x3b8d,
+    0x289a, 0x3b92, 0x28a5, 0x3b96, 0x28b1, 0x3b9b, 0x28bd, 0x3b9f,
+    0x28c9, 0x3ba4, 0x28d4, 0x3ba9, 0x28e0, 0x3bad, 0x28ec, 0x3bb2,
+    0x28f7, 0x3bb6, 0x2903, 0x3bbb, 0x290f, 0x3bbf, 0x291b, 0x3bc4,
+    0x2926, 0x3bc8, 0x2932, 0x3bcd, 0x293e, 0x3bd1, 0x294a, 0x3bd6,
+    0x2955, 0x3bda, 0x2961, 0x3bde, 0x296d, 0x3be3, 0x2979, 0x3be7,
+    0x2984, 0x3bec, 0x2990, 0x3bf0, 0x299c, 0x3bf5, 0x29a8, 0x3bf9,
+    0x29b4, 0x3bfd, 0x29bf, 0x3c02, 0x29cb, 0x3c06, 0x29d7, 0x3c0a,
+    0x29e3, 0x3c0f, 0x29ee, 0x3c13, 0x29fa, 0x3c17, 0x2a06, 0x3c1c,
+    0x2a12, 0x3c20, 0x2a1e, 0x3c24, 0x2a29, 0x3c29, 0x2a35, 0x3c2d,
+    0x2a41, 0x3c31, 0x2a4d, 0x3c36, 0x2a59, 0x3c3a, 0x2a65, 0x3c3e,
+    0x2a70, 0x3c42, 0x2a7c, 0x3c46, 0x2a88, 0x3c4b, 0x2a94, 0x3c4f,
+    0x2aa0, 0x3c53, 0x2aac, 0x3c57, 0x2ab7, 0x3c5b, 0x2ac3, 0x3c60,
+    0x2acf, 0x3c64, 0x2adb, 0x3c68, 0x2ae7, 0x3c6c, 0x2af3, 0x3c70,
+    0x2aff, 0x3c74, 0x2b0a, 0x3c79, 0x2b16, 0x3c7d, 0x2b22, 0x3c81,
+    0x2b2e, 0x3c85, 0x2b3a, 0x3c89, 0x2b46, 0x3c8d, 0x2b52, 0x3c91,
+    0x2b5e, 0x3c95, 0x2b6a, 0x3c99, 0x2b75, 0x3c9d, 0x2b81, 0x3ca1,
+    0x2b8d, 0x3ca5, 0x2b99, 0x3ca9, 0x2ba5, 0x3cad, 0x2bb1, 0x3cb1,
+    0x2bbd, 0x3cb5, 0x2bc9, 0x3cb9, 0x2bd5, 0x3cbd, 0x2be1, 0x3cc1,
+    0x2bed, 0x3cc5, 0x2bf9, 0x3cc9, 0x2c05, 0x3ccd, 0x2c10, 0x3cd1,
+    0x2c1c, 0x3cd5, 0x2c28, 0x3cd9, 0x2c34, 0x3cdd, 0x2c40, 0x3ce0,
+    0x2c4c, 0x3ce4, 0x2c58, 0x3ce8, 0x2c64, 0x3cec, 0x2c70, 0x3cf0,
+    0x2c7c, 0x3cf4, 0x2c88, 0x3cf8, 0x2c94, 0x3cfb, 0x2ca0, 0x3cff,
+    0x2cac, 0x3d03, 0x2cb8, 0x3d07, 0x2cc4, 0x3d0b, 0x2cd0, 0x3d0e,
+    0x2cdc, 0x3d12, 0x2ce8, 0x3d16, 0x2cf4, 0x3d1a, 0x2d00, 0x3d1d,
+    0x2d0c, 0x3d21, 0x2d18, 0x3d25, 0x2d24, 0x3d28, 0x2d30, 0x3d2c,
+    0x2d3c, 0x3d30, 0x2d48, 0x3d34, 0x2d54, 0x3d37, 0x2d60, 0x3d3b,
+    0x2d6c, 0x3d3f, 0x2d78, 0x3d42, 0x2d84, 0x3d46, 0x2d90, 0x3d49,
+    0x2d9c, 0x3d4d, 0x2da8, 0x3d51, 0x2db4, 0x3d54, 0x2dc0, 0x3d58,
+    0x2dcc, 0x3d5b, 0x2dd8, 0x3d5f, 0x2de4, 0x3d63, 0x2df0, 0x3d66,
+    0x2dfc, 0x3d6a, 0x2e09, 0x3d6d, 0x2e15, 0x3d71, 0x2e21, 0x3d74,
+    0x2e2d, 0x3d78, 0x2e39, 0x3d7b, 0x2e45, 0x3d7f, 0x2e51, 0x3d82,
+    0x2e5d, 0x3d86, 0x2e69, 0x3d89, 0x2e75, 0x3d8d, 0x2e81, 0x3d90,
+    0x2e8d, 0x3d93, 0x2e99, 0x3d97, 0x2ea6, 0x3d9a, 0x2eb2, 0x3d9e,
+    0x2ebe, 0x3da1, 0x2eca, 0x3da4, 0x2ed6, 0x3da8, 0x2ee2, 0x3dab,
+    0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9,
+    0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6,
+    0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3,
+    0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0,
+    0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded,
+    0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9,
+    0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06,
+    0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12,
+    0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e,
+    0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a,
+    0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36,
+    0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42,
+    0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d,
+    0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59,
+    0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64,
+    0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f,
+    0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a,
+    0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85,
+    0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90,
+    0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a,
+    0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5,
+    0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf,
+    0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9,
+    0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3,
+    0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc,
+    0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6,
+    0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0,
+    0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9,
+    0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2,
+    0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb,
+    0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04,
+    0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d,
+    0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15,
+    0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e,
+    0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26,
+    0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e,
+    0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36,
+    0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e,
+    0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45,
+    0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d,
+    0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54,
+    0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b,
+    0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62,
+    0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69,
+    0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70,
+    0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77,
+    0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d,
+    0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83,
+    0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89,
+    0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f,
+    0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95,
+    0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b,
+    0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0,
+    0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6,
+    0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab,
+    0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0,
+    0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5,
+    0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9,
+    0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe,
+    0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3,
+    0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7,
+    0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb,
+    0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf,
+    0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3,
+    0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6,
+    0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda,
+    0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd,
+    0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0,
+    0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3,
+    0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6,
+    0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9,
+    0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
+    0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
+    0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
+    0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
+    0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
+    0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
+    0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
+    0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
+    0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
+    0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
+    0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
+    0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
+    0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
+    0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
+    0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
+    0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
+    0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
+};
+
+/**    
+* \par   
+* Generation of real_CoefB array:    
+* \par    
+* n = 4096    
+* <pre>for (i = 0; i < n; i++)    
+*  {    
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+*  } </pre>   
+* \par    
+* Convert to fixed point Q15 format    
+*       round(pBTable[i] * pow(2, 15))    
+*    
+*/
+static const q15_t ALIGN4 realCoefBQ15[8192] = {
+    0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
+    0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
+    0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
+    0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
+    0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
+    0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
+    0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
+    0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
+    0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
+    0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
+    0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
+    0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
+    0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
+    0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
+    0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
+    0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
+    0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
+    0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
+    0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
+    0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
+    0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
+    0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
+    0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
+    0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
+    0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
+    0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
+    0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
+    0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
+    0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
+    0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
+    0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
+    0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
+    0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
+    0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
+    0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
+    0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
+    0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
+    0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
+    0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
+    0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
+    0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
+    0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
+    0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
+    0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
+    0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
+    0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
+    0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
+    0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
+    0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
+    0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42,
+    0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a,
+    0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32,
+    0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a,
+    0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22,
+    0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19,
+    0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11,
+    0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08,
+    0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00,
+    0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7,
+    0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed,
+    0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4,
+    0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb,
+    0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1,
+    0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8,
+    0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe,
+    0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4,
+    0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa,
+    0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f,
+    0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95,
+    0x4d72, 0x3e92, 0x4d7f, 0x3e90, 0x4d8b, 0x3e8d, 0x4d97, 0x3e8a,
+    0x4da4, 0x3e88, 0x4db0, 0x3e85, 0x4dbc, 0x3e82, 0x4dc8, 0x3e80,
+    0x4dd5, 0x3e7d, 0x4de1, 0x3e7a, 0x4ded, 0x3e77, 0x4df9, 0x3e75,
+    0x4e06, 0x3e72, 0x4e12, 0x3e6f, 0x4e1e, 0x3e6c, 0x4e2b, 0x3e6a,
+    0x4e37, 0x3e67, 0x4e43, 0x3e64, 0x4e4f, 0x3e61, 0x4e5c, 0x3e5e,
+    0x4e68, 0x3e5c, 0x4e74, 0x3e59, 0x4e80, 0x3e56, 0x4e8c, 0x3e53,
+    0x4e99, 0x3e50, 0x4ea5, 0x3e4d, 0x4eb1, 0x3e4a, 0x4ebd, 0x3e48,
+    0x4eca, 0x3e45, 0x4ed6, 0x3e42, 0x4ee2, 0x3e3f, 0x4eee, 0x3e3c,
+    0x4efb, 0x3e39, 0x4f07, 0x3e36, 0x4f13, 0x3e33, 0x4f1f, 0x3e30,
+    0x4f2b, 0x3e2d, 0x4f38, 0x3e2a, 0x4f44, 0x3e27, 0x4f50, 0x3e24,
+    0x4f5c, 0x3e21, 0x4f68, 0x3e1e, 0x4f75, 0x3e1b, 0x4f81, 0x3e18,
+    0x4f8d, 0x3e15, 0x4f99, 0x3e12, 0x4fa5, 0x3e0f, 0x4fb2, 0x3e0c,
+    0x4fbe, 0x3e09, 0x4fca, 0x3e06, 0x4fd6, 0x3e03, 0x4fe2, 0x3dff,
+    0x4fee, 0x3dfc, 0x4ffb, 0x3df9, 0x5007, 0x3df6, 0x5013, 0x3df3,
+    0x501f, 0x3df0, 0x502b, 0x3ded, 0x5037, 0x3de9, 0x5044, 0x3de6,
+    0x5050, 0x3de3, 0x505c, 0x3de0, 0x5068, 0x3ddd, 0x5074, 0x3dd9,
+    0x5080, 0x3dd6, 0x508c, 0x3dd3, 0x5099, 0x3dd0, 0x50a5, 0x3dcc,
+    0x50b1, 0x3dc9, 0x50bd, 0x3dc6, 0x50c9, 0x3dc2, 0x50d5, 0x3dbf,
+    0x50e1, 0x3dbc, 0x50ed, 0x3db9, 0x50fa, 0x3db5, 0x5106, 0x3db2,
+    0x5112, 0x3daf, 0x511e, 0x3dab, 0x512a, 0x3da8, 0x5136, 0x3da4,
+    0x5142, 0x3da1, 0x514e, 0x3d9e, 0x515a, 0x3d9a, 0x5167, 0x3d97,
+    0x5173, 0x3d93, 0x517f, 0x3d90, 0x518b, 0x3d8d, 0x5197, 0x3d89,
+    0x51a3, 0x3d86, 0x51af, 0x3d82, 0x51bb, 0x3d7f, 0x51c7, 0x3d7b,
+    0x51d3, 0x3d78, 0x51df, 0x3d74, 0x51eb, 0x3d71, 0x51f7, 0x3d6d,
+    0x5204, 0x3d6a, 0x5210, 0x3d66, 0x521c, 0x3d63, 0x5228, 0x3d5f,
+    0x5234, 0x3d5b, 0x5240, 0x3d58, 0x524c, 0x3d54, 0x5258, 0x3d51,
+    0x5264, 0x3d4d, 0x5270, 0x3d49, 0x527c, 0x3d46, 0x5288, 0x3d42,
+    0x5294, 0x3d3f, 0x52a0, 0x3d3b, 0x52ac, 0x3d37, 0x52b8, 0x3d34,
+    0x52c4, 0x3d30, 0x52d0, 0x3d2c, 0x52dc, 0x3d28, 0x52e8, 0x3d25,
+    0x52f4, 0x3d21, 0x5300, 0x3d1d, 0x530c, 0x3d1a, 0x5318, 0x3d16,
+    0x5324, 0x3d12, 0x5330, 0x3d0e, 0x533c, 0x3d0b, 0x5348, 0x3d07,
+    0x5354, 0x3d03, 0x5360, 0x3cff, 0x536c, 0x3cfb, 0x5378, 0x3cf8,
+    0x5384, 0x3cf4, 0x5390, 0x3cf0, 0x539c, 0x3cec, 0x53a8, 0x3ce8,
+    0x53b4, 0x3ce4, 0x53c0, 0x3ce0, 0x53cc, 0x3cdd, 0x53d8, 0x3cd9,
+    0x53e4, 0x3cd5, 0x53f0, 0x3cd1, 0x53fb, 0x3ccd, 0x5407, 0x3cc9,
+    0x5413, 0x3cc5, 0x541f, 0x3cc1, 0x542b, 0x3cbd, 0x5437, 0x3cb9,
+    0x5443, 0x3cb5, 0x544f, 0x3cb1, 0x545b, 0x3cad, 0x5467, 0x3ca9,
+    0x5473, 0x3ca5, 0x547f, 0x3ca1, 0x548b, 0x3c9d, 0x5496, 0x3c99,
+    0x54a2, 0x3c95, 0x54ae, 0x3c91, 0x54ba, 0x3c8d, 0x54c6, 0x3c89,
+    0x54d2, 0x3c85, 0x54de, 0x3c81, 0x54ea, 0x3c7d, 0x54f6, 0x3c79,
+    0x5501, 0x3c74, 0x550d, 0x3c70, 0x5519, 0x3c6c, 0x5525, 0x3c68,
+    0x5531, 0x3c64, 0x553d, 0x3c60, 0x5549, 0x3c5b, 0x5554, 0x3c57,
+    0x5560, 0x3c53, 0x556c, 0x3c4f, 0x5578, 0x3c4b, 0x5584, 0x3c46,
+    0x5590, 0x3c42, 0x559b, 0x3c3e, 0x55a7, 0x3c3a, 0x55b3, 0x3c36,
+    0x55bf, 0x3c31, 0x55cb, 0x3c2d, 0x55d7, 0x3c29, 0x55e2, 0x3c24,
+    0x55ee, 0x3c20, 0x55fa, 0x3c1c, 0x5606, 0x3c17, 0x5612, 0x3c13,
+    0x561d, 0x3c0f, 0x5629, 0x3c0a, 0x5635, 0x3c06, 0x5641, 0x3c02,
+    0x564c, 0x3bfd, 0x5658, 0x3bf9, 0x5664, 0x3bf5, 0x5670, 0x3bf0,
+    0x567c, 0x3bec, 0x5687, 0x3be7, 0x5693, 0x3be3, 0x569f, 0x3bde,
+    0x56ab, 0x3bda, 0x56b6, 0x3bd6, 0x56c2, 0x3bd1, 0x56ce, 0x3bcd,
+    0x56da, 0x3bc8, 0x56e5, 0x3bc4, 0x56f1, 0x3bbf, 0x56fd, 0x3bbb,
+    0x5709, 0x3bb6, 0x5714, 0x3bb2, 0x5720, 0x3bad, 0x572c, 0x3ba9,
+    0x5737, 0x3ba4, 0x5743, 0x3b9f, 0x574f, 0x3b9b, 0x575b, 0x3b96,
+    0x5766, 0x3b92, 0x5772, 0x3b8d, 0x577e, 0x3b88, 0x5789, 0x3b84,
+    0x5795, 0x3b7f, 0x57a1, 0x3b7b, 0x57ac, 0x3b76, 0x57b8, 0x3b71,
+    0x57c4, 0x3b6d, 0x57cf, 0x3b68, 0x57db, 0x3b63, 0x57e7, 0x3b5f,
+    0x57f2, 0x3b5a, 0x57fe, 0x3b55, 0x580a, 0x3b50, 0x5815, 0x3b4c,
+    0x5821, 0x3b47, 0x582d, 0x3b42, 0x5838, 0x3b3e, 0x5844, 0x3b39,
+    0x584f, 0x3b34, 0x585b, 0x3b2f, 0x5867, 0x3b2a, 0x5872, 0x3b26,
+    0x587e, 0x3b21, 0x5889, 0x3b1c, 0x5895, 0x3b17, 0x58a1, 0x3b12,
+    0x58ac, 0x3b0e, 0x58b8, 0x3b09, 0x58c3, 0x3b04, 0x58cf, 0x3aff,
+    0x58db, 0x3afa, 0x58e6, 0x3af5, 0x58f2, 0x3af0, 0x58fd, 0x3aeb,
+    0x5909, 0x3ae6, 0x5914, 0x3ae2, 0x5920, 0x3add, 0x592c, 0x3ad8,
+    0x5937, 0x3ad3, 0x5943, 0x3ace, 0x594e, 0x3ac9, 0x595a, 0x3ac4,
+    0x5965, 0x3abf, 0x5971, 0x3aba, 0x597c, 0x3ab5, 0x5988, 0x3ab0,
+    0x5993, 0x3aab, 0x599f, 0x3aa6, 0x59aa, 0x3aa1, 0x59b6, 0x3a9c,
+    0x59c1, 0x3a97, 0x59cd, 0x3a92, 0x59d8, 0x3a8d, 0x59e4, 0x3a88,
+    0x59ef, 0x3a82, 0x59fb, 0x3a7d, 0x5a06, 0x3a78, 0x5a12, 0x3a73,
+    0x5a1d, 0x3a6e, 0x5a29, 0x3a69, 0x5a34, 0x3a64, 0x5a40, 0x3a5f,
+    0x5a4b, 0x3a59, 0x5a57, 0x3a54, 0x5a62, 0x3a4f, 0x5a6e, 0x3a4a,
+    0x5a79, 0x3a45, 0x5a84, 0x3a3f, 0x5a90, 0x3a3a, 0x5a9b, 0x3a35,
+    0x5aa7, 0x3a30, 0x5ab2, 0x3a2b, 0x5abe, 0x3a25, 0x5ac9, 0x3a20,
+    0x5ad4, 0x3a1b, 0x5ae0, 0x3a16, 0x5aeb, 0x3a10, 0x5af7, 0x3a0b,
+    0x5b02, 0x3a06, 0x5b0d, 0x3a00, 0x5b19, 0x39fb, 0x5b24, 0x39f6,
+    0x5b30, 0x39f0, 0x5b3b, 0x39eb, 0x5b46, 0x39e6, 0x5b52, 0x39e0,
+    0x5b5d, 0x39db, 0x5b68, 0x39d6, 0x5b74, 0x39d0, 0x5b7f, 0x39cb,
+    0x5b8a, 0x39c5, 0x5b96, 0x39c0, 0x5ba1, 0x39bb, 0x5bac, 0x39b5,
+    0x5bb8, 0x39b0, 0x5bc3, 0x39aa, 0x5bce, 0x39a5, 0x5bda, 0x399f,
+    0x5be5, 0x399a, 0x5bf0, 0x3994, 0x5bfc, 0x398f, 0x5c07, 0x3989,
+    0x5c12, 0x3984, 0x5c1e, 0x397e, 0x5c29, 0x3979, 0x5c34, 0x3973,
+    0x5c3f, 0x396e, 0x5c4b, 0x3968, 0x5c56, 0x3963, 0x5c61, 0x395d,
+    0x5c6c, 0x3958, 0x5c78, 0x3952, 0x5c83, 0x394c, 0x5c8e, 0x3947,
+    0x5c99, 0x3941, 0x5ca5, 0x393b, 0x5cb0, 0x3936, 0x5cbb, 0x3930,
+    0x5cc6, 0x392b, 0x5cd2, 0x3925, 0x5cdd, 0x391f, 0x5ce8, 0x391a,
+    0x5cf3, 0x3914, 0x5cff, 0x390e, 0x5d0a, 0x3909, 0x5d15, 0x3903,
+    0x5d20, 0x38fd, 0x5d2b, 0x38f7, 0x5d36, 0x38f2, 0x5d42, 0x38ec,
+    0x5d4d, 0x38e6, 0x5d58, 0x38e0, 0x5d63, 0x38db, 0x5d6e, 0x38d5,
+    0x5d79, 0x38cf, 0x5d85, 0x38c9, 0x5d90, 0x38c3, 0x5d9b, 0x38be,
+    0x5da6, 0x38b8, 0x5db1, 0x38b2, 0x5dbc, 0x38ac, 0x5dc7, 0x38a6,
+    0x5dd3, 0x38a1, 0x5dde, 0x389b, 0x5de9, 0x3895, 0x5df4, 0x388f,
+    0x5dff, 0x3889, 0x5e0a, 0x3883, 0x5e15, 0x387d, 0x5e20, 0x3877,
+    0x5e2b, 0x3871, 0x5e36, 0x386b, 0x5e42, 0x3866, 0x5e4d, 0x3860,
+    0x5e58, 0x385a, 0x5e63, 0x3854, 0x5e6e, 0x384e, 0x5e79, 0x3848,
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+    0x6cd6, 0x2dab, 0x6cdf, 0x2da3, 0x6ce8, 0x2d9a, 0x6cf1, 0x2d91,
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+    0x6ec2, 0x2bb4, 0x6eca, 0x2bab, 0x6ed3, 0x2ba1, 0x6edb, 0x2b98,
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+    0x70b8, 0x2981, 0x70c0, 0x2978, 0x70c8, 0x296e, 0x70d0, 0x2965,
+    0x70d8, 0x295b, 0x70e0, 0x2951, 0x70e8, 0x2948, 0x70f0, 0x293e,
+    0x70f9, 0x2935, 0x7101, 0x292b, 0x7109, 0x2921, 0x7111, 0x2918,
+    0x7119, 0x290e, 0x7121, 0x2904, 0x7129, 0x28fb, 0x7131, 0x28f1,
+    0x7139, 0x28e7, 0x7141, 0x28de, 0x7149, 0x28d4, 0x7151, 0x28ca,
+    0x7159, 0x28c1, 0x7161, 0x28b7, 0x7169, 0x28ad, 0x7171, 0x28a4,
+    0x7179, 0x289a, 0x7181, 0x2890, 0x7189, 0x2886, 0x7191, 0x287d,
+    0x7199, 0x2873, 0x71a1, 0x2869, 0x71a9, 0x2860, 0x71b1, 0x2856,
+    0x71b9, 0x284c, 0x71c0, 0x2842, 0x71c8, 0x2838, 0x71d0, 0x282f,
+    0x71d8, 0x2825, 0x71e0, 0x281b, 0x71e8, 0x2811, 0x71f0, 0x2808,
+    0x71f8, 0x27fe, 0x71ff, 0x27f4, 0x7207, 0x27ea, 0x720f, 0x27e0,
+    0x7217, 0x27d6, 0x721f, 0x27cd, 0x7227, 0x27c3, 0x722e, 0x27b9,
+    0x7236, 0x27af, 0x723e, 0x27a5, 0x7246, 0x279b, 0x724e, 0x2791,
+    0x7255, 0x2788, 0x725d, 0x277e, 0x7265, 0x2774, 0x726d, 0x276a,
+    0x7274, 0x2760, 0x727c, 0x2756, 0x7284, 0x274c, 0x728b, 0x2742,
+    0x7293, 0x2738, 0x729b, 0x272e, 0x72a3, 0x2724, 0x72aa, 0x271a,
+    0x72b2, 0x2711, 0x72ba, 0x2707, 0x72c1, 0x26fd, 0x72c9, 0x26f3,
+    0x72d0, 0x26e9, 0x72d8, 0x26df, 0x72e0, 0x26d5, 0x72e7, 0x26cb,
+    0x72ef, 0x26c1, 0x72f7, 0x26b7, 0x72fe, 0x26ad, 0x7306, 0x26a3,
+    0x730d, 0x2699, 0x7315, 0x268f, 0x731d, 0x2685, 0x7324, 0x267b,
+    0x732c, 0x2671, 0x7333, 0x2666, 0x733b, 0x265c, 0x7342, 0x2652,
+    0x734a, 0x2648, 0x7351, 0x263e, 0x7359, 0x2634, 0x7360, 0x262a,
+    0x7368, 0x2620, 0x736f, 0x2616, 0x7377, 0x260c, 0x737e, 0x2602,
+    0x7386, 0x25f8, 0x738d, 0x25ed, 0x7395, 0x25e3, 0x739c, 0x25d9,
+    0x73a3, 0x25cf, 0x73ab, 0x25c5, 0x73b2, 0x25bb, 0x73ba, 0x25b1,
+    0x73c1, 0x25a6, 0x73c8, 0x259c, 0x73d0, 0x2592, 0x73d7, 0x2588,
+    0x73df, 0x257e, 0x73e6, 0x2574, 0x73ed, 0x2569, 0x73f5, 0x255f,
+    0x73fc, 0x2555, 0x7403, 0x254b, 0x740b, 0x2541, 0x7412, 0x2536,
+    0x7419, 0x252c, 0x7420, 0x2522, 0x7428, 0x2518, 0x742f, 0x250d,
+    0x7436, 0x2503, 0x743e, 0x24f9, 0x7445, 0x24ef, 0x744c, 0x24e4,
+    0x7453, 0x24da, 0x745b, 0x24d0, 0x7462, 0x24c5, 0x7469, 0x24bb,
+    0x7470, 0x24b1, 0x7477, 0x24a7, 0x747f, 0x249c, 0x7486, 0x2492,
+    0x748d, 0x2488, 0x7494, 0x247d, 0x749b, 0x2473, 0x74a2, 0x2469,
+    0x74aa, 0x245e, 0x74b1, 0x2454, 0x74b8, 0x244a, 0x74bf, 0x243f,
+    0x74c6, 0x2435, 0x74cd, 0x242b, 0x74d4, 0x2420, 0x74db, 0x2416,
+    0x74e2, 0x240b, 0x74ea, 0x2401, 0x74f1, 0x23f7, 0x74f8, 0x23ec,
+    0x74ff, 0x23e2, 0x7506, 0x23d7, 0x750d, 0x23cd, 0x7514, 0x23c3,
+    0x751b, 0x23b8, 0x7522, 0x23ae, 0x7529, 0x23a3, 0x7530, 0x2399,
+    0x7537, 0x238e, 0x753e, 0x2384, 0x7545, 0x237a, 0x754c, 0x236f,
+    0x7553, 0x2365, 0x755a, 0x235a, 0x7561, 0x2350, 0x7567, 0x2345,
+    0x756e, 0x233b, 0x7575, 0x2330, 0x757c, 0x2326, 0x7583, 0x231b,
+    0x758a, 0x2311, 0x7591, 0x2306, 0x7598, 0x22fc, 0x759f, 0x22f1,
+    0x75a5, 0x22e7, 0x75ac, 0x22dc, 0x75b3, 0x22d2, 0x75ba, 0x22c7,
+    0x75c1, 0x22bc, 0x75c8, 0x22b2, 0x75ce, 0x22a7, 0x75d5, 0x229d,
+    0x75dc, 0x2292, 0x75e3, 0x2288, 0x75ea, 0x227d, 0x75f0, 0x2272,
+    0x75f7, 0x2268, 0x75fe, 0x225d, 0x7605, 0x2253, 0x760b, 0x2248,
+    0x7612, 0x223d, 0x7619, 0x2233, 0x7620, 0x2228, 0x7626, 0x221e,
+    0x762d, 0x2213, 0x7634, 0x2208, 0x763a, 0x21fe, 0x7641, 0x21f3,
+    0x7648, 0x21e8, 0x764e, 0x21de, 0x7655, 0x21d3, 0x765c, 0x21c8,
+    0x7662, 0x21be, 0x7669, 0x21b3, 0x766f, 0x21a8, 0x7676, 0x219e,
+    0x767d, 0x2193, 0x7683, 0x2188, 0x768a, 0x217d, 0x7690, 0x2173,
+    0x7697, 0x2168, 0x769d, 0x215d, 0x76a4, 0x2153, 0x76ab, 0x2148,
+    0x76b1, 0x213d, 0x76b8, 0x2132, 0x76be, 0x2128, 0x76c5, 0x211d,
+    0x76cb, 0x2112, 0x76d2, 0x2107, 0x76d8, 0x20fd, 0x76df, 0x20f2,
+    0x76e5, 0x20e7, 0x76eb, 0x20dc, 0x76f2, 0x20d1, 0x76f8, 0x20c7,
+    0x76ff, 0x20bc, 0x7705, 0x20b1, 0x770c, 0x20a6, 0x7712, 0x209b,
+    0x7718, 0x2091, 0x771f, 0x2086, 0x7725, 0x207b, 0x772c, 0x2070,
+    0x7732, 0x2065, 0x7738, 0x205b, 0x773f, 0x2050, 0x7745, 0x2045,
+    0x774b, 0x203a, 0x7752, 0x202f, 0x7758, 0x2024, 0x775e, 0x2019,
+    0x7765, 0x200f, 0x776b, 0x2004, 0x7771, 0x1ff9, 0x7777, 0x1fee,
+    0x777e, 0x1fe3, 0x7784, 0x1fd8, 0x778a, 0x1fcd, 0x7790, 0x1fc2,
+    0x7797, 0x1fb7, 0x779d, 0x1fac, 0x77a3, 0x1fa2, 0x77a9, 0x1f97,
+    0x77b0, 0x1f8c, 0x77b6, 0x1f81, 0x77bc, 0x1f76, 0x77c2, 0x1f6b,
+    0x77c8, 0x1f60, 0x77ce, 0x1f55, 0x77d5, 0x1f4a, 0x77db, 0x1f3f,
+    0x77e1, 0x1f34, 0x77e7, 0x1f29, 0x77ed, 0x1f1e, 0x77f3, 0x1f13,
+    0x77f9, 0x1f08, 0x77ff, 0x1efd, 0x7805, 0x1ef2, 0x780b, 0x1ee7,
+    0x7812, 0x1edc, 0x7818, 0x1ed1, 0x781e, 0x1ec6, 0x7824, 0x1ebb,
+    0x782a, 0x1eb0, 0x7830, 0x1ea5, 0x7836, 0x1e9a, 0x783c, 0x1e8f,
+    0x7842, 0x1e84, 0x7848, 0x1e79, 0x784e, 0x1e6e, 0x7854, 0x1e63,
+    0x785a, 0x1e58, 0x7860, 0x1e4d, 0x7866, 0x1e42, 0x786b, 0x1e36,
+    0x7871, 0x1e2b, 0x7877, 0x1e20, 0x787d, 0x1e15, 0x7883, 0x1e0a,
+    0x7889, 0x1dff, 0x788f, 0x1df4, 0x7895, 0x1de9, 0x789b, 0x1dde,
+    0x78a1, 0x1dd3, 0x78a6, 0x1dc7, 0x78ac, 0x1dbc, 0x78b2, 0x1db1,
+    0x78b8, 0x1da6, 0x78be, 0x1d9b, 0x78c3, 0x1d90, 0x78c9, 0x1d85,
+    0x78cf, 0x1d79, 0x78d5, 0x1d6e, 0x78db, 0x1d63, 0x78e0, 0x1d58,
+    0x78e6, 0x1d4d, 0x78ec, 0x1d42, 0x78f2, 0x1d36, 0x78f7, 0x1d2b,
+    0x78fd, 0x1d20, 0x7903, 0x1d15, 0x7909, 0x1d0a, 0x790e, 0x1cff,
+    0x7914, 0x1cf3, 0x791a, 0x1ce8, 0x791f, 0x1cdd, 0x7925, 0x1cd2,
+    0x792b, 0x1cc6, 0x7930, 0x1cbb, 0x7936, 0x1cb0, 0x793b, 0x1ca5,
+    0x7941, 0x1c99, 0x7947, 0x1c8e, 0x794c, 0x1c83, 0x7952, 0x1c78,
+    0x7958, 0x1c6c, 0x795d, 0x1c61, 0x7963, 0x1c56, 0x7968, 0x1c4b,
+    0x796e, 0x1c3f, 0x7973, 0x1c34, 0x7979, 0x1c29, 0x797e, 0x1c1e,
+    0x7984, 0x1c12, 0x7989, 0x1c07, 0x798f, 0x1bfc, 0x7994, 0x1bf0,
+    0x799a, 0x1be5, 0x799f, 0x1bda, 0x79a5, 0x1bce, 0x79aa, 0x1bc3,
+    0x79b0, 0x1bb8, 0x79b5, 0x1bac, 0x79bb, 0x1ba1, 0x79c0, 0x1b96,
+    0x79c5, 0x1b8a, 0x79cb, 0x1b7f, 0x79d0, 0x1b74, 0x79d6, 0x1b68,
+    0x79db, 0x1b5d, 0x79e0, 0x1b52, 0x79e6, 0x1b46, 0x79eb, 0x1b3b,
+    0x79f0, 0x1b30, 0x79f6, 0x1b24, 0x79fb, 0x1b19, 0x7a00, 0x1b0d,
+    0x7a06, 0x1b02, 0x7a0b, 0x1af7, 0x7a10, 0x1aeb, 0x7a16, 0x1ae0,
+    0x7a1b, 0x1ad4, 0x7a20, 0x1ac9, 0x7a25, 0x1abe, 0x7a2b, 0x1ab2,
+    0x7a30, 0x1aa7, 0x7a35, 0x1a9b, 0x7a3a, 0x1a90, 0x7a3f, 0x1a84,
+    0x7a45, 0x1a79, 0x7a4a, 0x1a6e, 0x7a4f, 0x1a62, 0x7a54, 0x1a57,
+    0x7a59, 0x1a4b, 0x7a5f, 0x1a40, 0x7a64, 0x1a34, 0x7a69, 0x1a29,
+    0x7a6e, 0x1a1d, 0x7a73, 0x1a12, 0x7a78, 0x1a06, 0x7a7d, 0x19fb,
+    0x7a82, 0x19ef, 0x7a88, 0x19e4, 0x7a8d, 0x19d8, 0x7a92, 0x19cd,
+    0x7a97, 0x19c1, 0x7a9c, 0x19b6, 0x7aa1, 0x19aa, 0x7aa6, 0x199f,
+    0x7aab, 0x1993, 0x7ab0, 0x1988, 0x7ab5, 0x197c, 0x7aba, 0x1971,
+    0x7abf, 0x1965, 0x7ac4, 0x195a, 0x7ac9, 0x194e, 0x7ace, 0x1943,
+    0x7ad3, 0x1937, 0x7ad8, 0x192c, 0x7add, 0x1920, 0x7ae2, 0x1914,
+    0x7ae6, 0x1909, 0x7aeb, 0x18fd, 0x7af0, 0x18f2, 0x7af5, 0x18e6,
+    0x7afa, 0x18db, 0x7aff, 0x18cf, 0x7b04, 0x18c3, 0x7b09, 0x18b8,
+    0x7b0e, 0x18ac, 0x7b12, 0x18a1, 0x7b17, 0x1895, 0x7b1c, 0x1889,
+    0x7b21, 0x187e, 0x7b26, 0x1872, 0x7b2a, 0x1867, 0x7b2f, 0x185b,
+    0x7b34, 0x184f, 0x7b39, 0x1844, 0x7b3e, 0x1838, 0x7b42, 0x182d,
+    0x7b47, 0x1821, 0x7b4c, 0x1815, 0x7b50, 0x180a, 0x7b55, 0x17fe,
+    0x7b5a, 0x17f2, 0x7b5f, 0x17e7, 0x7b63, 0x17db, 0x7b68, 0x17cf,
+    0x7b6d, 0x17c4, 0x7b71, 0x17b8, 0x7b76, 0x17ac, 0x7b7b, 0x17a1,
+    0x7b7f, 0x1795, 0x7b84, 0x1789, 0x7b88, 0x177e, 0x7b8d, 0x1772,
+    0x7b92, 0x1766, 0x7b96, 0x175b, 0x7b9b, 0x174f, 0x7b9f, 0x1743,
+    0x7ba4, 0x1737, 0x7ba9, 0x172c, 0x7bad, 0x1720, 0x7bb2, 0x1714,
+    0x7bb6, 0x1709, 0x7bbb, 0x16fd, 0x7bbf, 0x16f1, 0x7bc4, 0x16e5,
+    0x7bc8, 0x16da, 0x7bcd, 0x16ce, 0x7bd1, 0x16c2, 0x7bd6, 0x16b6,
+    0x7bda, 0x16ab, 0x7bde, 0x169f, 0x7be3, 0x1693, 0x7be7, 0x1687,
+    0x7bec, 0x167c, 0x7bf0, 0x1670, 0x7bf5, 0x1664, 0x7bf9, 0x1658,
+    0x7bfd, 0x164c, 0x7c02, 0x1641, 0x7c06, 0x1635, 0x7c0a, 0x1629,
+    0x7c0f, 0x161d, 0x7c13, 0x1612, 0x7c17, 0x1606, 0x7c1c, 0x15fa,
+    0x7c20, 0x15ee, 0x7c24, 0x15e2, 0x7c29, 0x15d7, 0x7c2d, 0x15cb,
+    0x7c31, 0x15bf, 0x7c36, 0x15b3, 0x7c3a, 0x15a7, 0x7c3e, 0x159b,
+    0x7c42, 0x1590, 0x7c46, 0x1584, 0x7c4b, 0x1578, 0x7c4f, 0x156c,
+    0x7c53, 0x1560, 0x7c57, 0x1554, 0x7c5b, 0x1549, 0x7c60, 0x153d,
+    0x7c64, 0x1531, 0x7c68, 0x1525, 0x7c6c, 0x1519, 0x7c70, 0x150d,
+    0x7c74, 0x1501, 0x7c79, 0x14f6, 0x7c7d, 0x14ea, 0x7c81, 0x14de,
+    0x7c85, 0x14d2, 0x7c89, 0x14c6, 0x7c8d, 0x14ba, 0x7c91, 0x14ae,
+    0x7c95, 0x14a2, 0x7c99, 0x1496, 0x7c9d, 0x148b, 0x7ca1, 0x147f,
+    0x7ca5, 0x1473, 0x7ca9, 0x1467, 0x7cad, 0x145b, 0x7cb1, 0x144f,
+    0x7cb5, 0x1443, 0x7cb9, 0x1437, 0x7cbd, 0x142b, 0x7cc1, 0x141f,
+    0x7cc5, 0x1413, 0x7cc9, 0x1407, 0x7ccd, 0x13fb, 0x7cd1, 0x13f0,
+    0x7cd5, 0x13e4, 0x7cd9, 0x13d8, 0x7cdd, 0x13cc, 0x7ce0, 0x13c0,
+    0x7ce4, 0x13b4, 0x7ce8, 0x13a8, 0x7cec, 0x139c, 0x7cf0, 0x1390,
+    0x7cf4, 0x1384, 0x7cf8, 0x1378, 0x7cfb, 0x136c, 0x7cff, 0x1360,
+    0x7d03, 0x1354, 0x7d07, 0x1348, 0x7d0b, 0x133c, 0x7d0e, 0x1330,
+    0x7d12, 0x1324, 0x7d16, 0x1318, 0x7d1a, 0x130c, 0x7d1d, 0x1300,
+    0x7d21, 0x12f4, 0x7d25, 0x12e8, 0x7d28, 0x12dc, 0x7d2c, 0x12d0,
+    0x7d30, 0x12c4, 0x7d34, 0x12b8, 0x7d37, 0x12ac, 0x7d3b, 0x12a0,
+    0x7d3f, 0x1294, 0x7d42, 0x1288, 0x7d46, 0x127c, 0x7d49, 0x1270,
+    0x7d4d, 0x1264, 0x7d51, 0x1258, 0x7d54, 0x124c, 0x7d58, 0x1240,
+    0x7d5b, 0x1234, 0x7d5f, 0x1228, 0x7d63, 0x121c, 0x7d66, 0x1210,
+    0x7d6a, 0x1204, 0x7d6d, 0x11f7, 0x7d71, 0x11eb, 0x7d74, 0x11df,
+    0x7d78, 0x11d3, 0x7d7b, 0x11c7, 0x7d7f, 0x11bb, 0x7d82, 0x11af,
+    0x7d86, 0x11a3, 0x7d89, 0x1197, 0x7d8d, 0x118b, 0x7d90, 0x117f,
+    0x7d93, 0x1173, 0x7d97, 0x1167, 0x7d9a, 0x115a, 0x7d9e, 0x114e,
+    0x7da1, 0x1142, 0x7da4, 0x1136, 0x7da8, 0x112a, 0x7dab, 0x111e,
+    0x7daf, 0x1112, 0x7db2, 0x1106, 0x7db5, 0x10fa, 0x7db9, 0x10ed,
+    0x7dbc, 0x10e1, 0x7dbf, 0x10d5, 0x7dc2, 0x10c9, 0x7dc6, 0x10bd,
+    0x7dc9, 0x10b1, 0x7dcc, 0x10a5, 0x7dd0, 0x1099, 0x7dd3, 0x108c,
+    0x7dd6, 0x1080, 0x7dd9, 0x1074, 0x7ddd, 0x1068, 0x7de0, 0x105c,
+    0x7de3, 0x1050, 0x7de6, 0x1044, 0x7de9, 0x1037, 0x7ded, 0x102b,
+    0x7df0, 0x101f, 0x7df3, 0x1013, 0x7df6, 0x1007, 0x7df9, 0xffb,
+    0x7dfc, 0xfee, 0x7dff, 0xfe2, 0x7e03, 0xfd6, 0x7e06, 0xfca,
+    0x7e09, 0xfbe, 0x7e0c, 0xfb2, 0x7e0f, 0xfa5, 0x7e12, 0xf99,
+    0x7e15, 0xf8d, 0x7e18, 0xf81, 0x7e1b, 0xf75, 0x7e1e, 0xf68,
+    0x7e21, 0xf5c, 0x7e24, 0xf50, 0x7e27, 0xf44, 0x7e2a, 0xf38,
+    0x7e2d, 0xf2b, 0x7e30, 0xf1f, 0x7e33, 0xf13, 0x7e36, 0xf07,
+    0x7e39, 0xefb, 0x7e3c, 0xeee, 0x7e3f, 0xee2, 0x7e42, 0xed6,
+    0x7e45, 0xeca, 0x7e48, 0xebd, 0x7e4a, 0xeb1, 0x7e4d, 0xea5,
+    0x7e50, 0xe99, 0x7e53, 0xe8c, 0x7e56, 0xe80, 0x7e59, 0xe74,
+    0x7e5c, 0xe68, 0x7e5e, 0xe5c, 0x7e61, 0xe4f, 0x7e64, 0xe43,
+    0x7e67, 0xe37, 0x7e6a, 0xe2b, 0x7e6c, 0xe1e, 0x7e6f, 0xe12,
+    0x7e72, 0xe06, 0x7e75, 0xdf9, 0x7e77, 0xded, 0x7e7a, 0xde1,
+    0x7e7d, 0xdd5, 0x7e80, 0xdc8, 0x7e82, 0xdbc, 0x7e85, 0xdb0,
+    0x7e88, 0xda4, 0x7e8a, 0xd97, 0x7e8d, 0xd8b, 0x7e90, 0xd7f,
+    0x7e92, 0xd72, 0x7e95, 0xd66, 0x7e98, 0xd5a, 0x7e9a, 0xd4e,
+    0x7e9d, 0xd41, 0x7e9f, 0xd35, 0x7ea2, 0xd29, 0x7ea5, 0xd1c,
+    0x7ea7, 0xd10, 0x7eaa, 0xd04, 0x7eac, 0xcf8, 0x7eaf, 0xceb,
+    0x7eb1, 0xcdf, 0x7eb4, 0xcd3, 0x7eb6, 0xcc6, 0x7eb9, 0xcba,
+    0x7ebb, 0xcae, 0x7ebe, 0xca1, 0x7ec0, 0xc95, 0x7ec3, 0xc89,
+    0x7ec5, 0xc7c, 0x7ec8, 0xc70, 0x7eca, 0xc64, 0x7ecc, 0xc57,
+    0x7ecf, 0xc4b, 0x7ed1, 0xc3f, 0x7ed4, 0xc32, 0x7ed6, 0xc26,
+    0x7ed8, 0xc1a, 0x7edb, 0xc0d, 0x7edd, 0xc01, 0x7ee0, 0xbf5,
+    0x7ee2, 0xbe8, 0x7ee4, 0xbdc, 0x7ee7, 0xbd0, 0x7ee9, 0xbc3,
+    0x7eeb, 0xbb7, 0x7eed, 0xbab, 0x7ef0, 0xb9e, 0x7ef2, 0xb92,
+    0x7ef4, 0xb85, 0x7ef7, 0xb79, 0x7ef9, 0xb6d, 0x7efb, 0xb60,
+    0x7efd, 0xb54, 0x7f00, 0xb48, 0x7f02, 0xb3b, 0x7f04, 0xb2f,
+    0x7f06, 0xb23, 0x7f08, 0xb16, 0x7f0a, 0xb0a, 0x7f0d, 0xafd,
+    0x7f0f, 0xaf1, 0x7f11, 0xae5, 0x7f13, 0xad8, 0x7f15, 0xacc,
+    0x7f17, 0xac0, 0x7f19, 0xab3, 0x7f1c, 0xaa7, 0x7f1e, 0xa9a,
+    0x7f20, 0xa8e, 0x7f22, 0xa82, 0x7f24, 0xa75, 0x7f26, 0xa69,
+    0x7f28, 0xa5c, 0x7f2a, 0xa50, 0x7f2c, 0xa44, 0x7f2e, 0xa37,
+    0x7f30, 0xa2b, 0x7f32, 0xa1e, 0x7f34, 0xa12, 0x7f36, 0xa06,
+    0x7f38, 0x9f9, 0x7f3a, 0x9ed, 0x7f3c, 0x9e0, 0x7f3e, 0x9d4,
+    0x7f40, 0x9c7, 0x7f42, 0x9bb, 0x7f43, 0x9af, 0x7f45, 0x9a2,
+    0x7f47, 0x996, 0x7f49, 0x989, 0x7f4b, 0x97d, 0x7f4d, 0x970,
+    0x7f4f, 0x964, 0x7f51, 0x958, 0x7f52, 0x94b, 0x7f54, 0x93f,
+    0x7f56, 0x932, 0x7f58, 0x926, 0x7f5a, 0x919, 0x7f5b, 0x90d,
+    0x7f5d, 0x901, 0x7f5f, 0x8f4, 0x7f61, 0x8e8, 0x7f62, 0x8db,
+    0x7f64, 0x8cf, 0x7f66, 0x8c2, 0x7f68, 0x8b6, 0x7f69, 0x8a9,
+    0x7f6b, 0x89d, 0x7f6d, 0x891, 0x7f6e, 0x884, 0x7f70, 0x878,
+    0x7f72, 0x86b, 0x7f73, 0x85f, 0x7f75, 0x852, 0x7f77, 0x846,
+    0x7f78, 0x839, 0x7f7a, 0x82d, 0x7f7b, 0x820, 0x7f7d, 0x814,
+    0x7f7f, 0x807, 0x7f80, 0x7fb, 0x7f82, 0x7ef, 0x7f83, 0x7e2,
+    0x7f85, 0x7d6, 0x7f86, 0x7c9, 0x7f88, 0x7bd, 0x7f89, 0x7b0,
+    0x7f8b, 0x7a4, 0x7f8c, 0x797, 0x7f8e, 0x78b, 0x7f8f, 0x77e,
+    0x7f91, 0x772, 0x7f92, 0x765, 0x7f94, 0x759, 0x7f95, 0x74c,
+    0x7f97, 0x740, 0x7f98, 0x733, 0x7f99, 0x727, 0x7f9b, 0x71a,
+    0x7f9c, 0x70e, 0x7f9e, 0x701, 0x7f9f, 0x6f5, 0x7fa0, 0x6e8,
+    0x7fa2, 0x6dc, 0x7fa3, 0x6cf, 0x7fa4, 0x6c3, 0x7fa6, 0x6b6,
+    0x7fa7, 0x6aa, 0x7fa8, 0x69d, 0x7faa, 0x691, 0x7fab, 0x684,
+    0x7fac, 0x678, 0x7fad, 0x66b, 0x7faf, 0x65f, 0x7fb0, 0x652,
+    0x7fb1, 0x646, 0x7fb2, 0x639, 0x7fb4, 0x62d, 0x7fb5, 0x620,
+    0x7fb6, 0x614, 0x7fb7, 0x607, 0x7fb8, 0x5fb, 0x7fb9, 0x5ee,
+    0x7fbb, 0x5e2, 0x7fbc, 0x5d5, 0x7fbd, 0x5c9, 0x7fbe, 0x5bc,
+    0x7fbf, 0x5b0, 0x7fc0, 0x5a3, 0x7fc1, 0x597, 0x7fc3, 0x58a,
+    0x7fc4, 0x57e, 0x7fc5, 0x571, 0x7fc6, 0x565, 0x7fc7, 0x558,
+    0x7fc8, 0x54c, 0x7fc9, 0x53f, 0x7fca, 0x533, 0x7fcb, 0x526,
+    0x7fcc, 0x51a, 0x7fcd, 0x50d, 0x7fce, 0x500, 0x7fcf, 0x4f4,
+    0x7fd0, 0x4e7, 0x7fd1, 0x4db, 0x7fd2, 0x4ce, 0x7fd3, 0x4c2,
+    0x7fd4, 0x4b5, 0x7fd5, 0x4a9, 0x7fd5, 0x49c, 0x7fd6, 0x490,
+    0x7fd7, 0x483, 0x7fd8, 0x477, 0x7fd9, 0x46a, 0x7fda, 0x45e,
+    0x7fdb, 0x451, 0x7fdc, 0x444, 0x7fdc, 0x438, 0x7fdd, 0x42b,
+    0x7fde, 0x41f, 0x7fdf, 0x412, 0x7fe0, 0x406, 0x7fe0, 0x3f9,
+    0x7fe1, 0x3ed, 0x7fe2, 0x3e0, 0x7fe3, 0x3d4, 0x7fe3, 0x3c7,
+    0x7fe4, 0x3bb, 0x7fe5, 0x3ae, 0x7fe6, 0x3a1, 0x7fe6, 0x395,
+    0x7fe7, 0x388, 0x7fe8, 0x37c, 0x7fe8, 0x36f, 0x7fe9, 0x363,
+    0x7fea, 0x356, 0x7fea, 0x34a, 0x7feb, 0x33d, 0x7fec, 0x330,
+    0x7fec, 0x324, 0x7fed, 0x317, 0x7fed, 0x30b, 0x7fee, 0x2fe,
+    0x7fef, 0x2f2, 0x7fef, 0x2e5, 0x7ff0, 0x2d9, 0x7ff0, 0x2cc,
+    0x7ff1, 0x2c0, 0x7ff1, 0x2b3, 0x7ff2, 0x2a6, 0x7ff2, 0x29a,
+    0x7ff3, 0x28d, 0x7ff3, 0x281, 0x7ff4, 0x274, 0x7ff4, 0x268,
+    0x7ff5, 0x25b, 0x7ff5, 0x24e, 0x7ff6, 0x242, 0x7ff6, 0x235,
+    0x7ff7, 0x229, 0x7ff7, 0x21c, 0x7ff7, 0x210, 0x7ff8, 0x203,
+    0x7ff8, 0x1f7, 0x7ff9, 0x1ea, 0x7ff9, 0x1dd, 0x7ff9, 0x1d1,
+    0x7ffa, 0x1c4, 0x7ffa, 0x1b8, 0x7ffa, 0x1ab, 0x7ffb, 0x19f,
+    0x7ffb, 0x192, 0x7ffb, 0x186, 0x7ffc, 0x179, 0x7ffc, 0x16c,
+    0x7ffc, 0x160, 0x7ffc, 0x153, 0x7ffd, 0x147, 0x7ffd, 0x13a,
+    0x7ffd, 0x12e, 0x7ffd, 0x121, 0x7ffe, 0x114, 0x7ffe, 0x108,
+    0x7ffe, 0xfb, 0x7ffe, 0xef, 0x7ffe, 0xe2, 0x7fff, 0xd6,
+    0x7fff, 0xc9, 0x7fff, 0xbc, 0x7fff, 0xb0, 0x7fff, 0xa3,
+    0x7fff, 0x97, 0x7fff, 0x8a, 0x7fff, 0x7e, 0x7fff, 0x71,
+    0x7fff, 0x65, 0x7fff, 0x58, 0x7fff, 0x4b, 0x7fff, 0x3f,
+    0x7fff, 0x32, 0x7fff, 0x26, 0x7fff, 0x19, 0x7fff, 0xd,
+    0x7fff, 0x0, 0x7fff, 0xfff3, 0x7fff, 0xffe7, 0x7fff, 0xffda,
+    0x7fff, 0xffce, 0x7fff, 0xffc1, 0x7fff, 0xffb5, 0x7fff, 0xffa8,
+    0x7fff, 0xff9b, 0x7fff, 0xff8f, 0x7fff, 0xff82, 0x7fff, 0xff76,
+    0x7fff, 0xff69, 0x7fff, 0xff5d, 0x7fff, 0xff50, 0x7fff, 0xff44,
+    0x7fff, 0xff37, 0x7fff, 0xff2a, 0x7ffe, 0xff1e, 0x7ffe, 0xff11,
+    0x7ffe, 0xff05, 0x7ffe, 0xfef8, 0x7ffe, 0xfeec, 0x7ffd, 0xfedf,
+    0x7ffd, 0xfed2, 0x7ffd, 0xfec6, 0x7ffd, 0xfeb9, 0x7ffc, 0xfead,
+    0x7ffc, 0xfea0, 0x7ffc, 0xfe94, 0x7ffc, 0xfe87, 0x7ffb, 0xfe7a,
+    0x7ffb, 0xfe6e, 0x7ffb, 0xfe61, 0x7ffa, 0xfe55, 0x7ffa, 0xfe48,
+    0x7ffa, 0xfe3c, 0x7ff9, 0xfe2f, 0x7ff9, 0xfe23, 0x7ff9, 0xfe16,
+    0x7ff8, 0xfe09, 0x7ff8, 0xfdfd, 0x7ff7, 0xfdf0, 0x7ff7, 0xfde4,
+    0x7ff7, 0xfdd7, 0x7ff6, 0xfdcb, 0x7ff6, 0xfdbe, 0x7ff5, 0xfdb2,
+    0x7ff5, 0xfda5, 0x7ff4, 0xfd98, 0x7ff4, 0xfd8c, 0x7ff3, 0xfd7f,
+    0x7ff3, 0xfd73, 0x7ff2, 0xfd66, 0x7ff2, 0xfd5a, 0x7ff1, 0xfd4d,
+    0x7ff1, 0xfd40, 0x7ff0, 0xfd34, 0x7ff0, 0xfd27, 0x7fef, 0xfd1b,
+    0x7fef, 0xfd0e, 0x7fee, 0xfd02, 0x7fed, 0xfcf5, 0x7fed, 0xfce9,
+    0x7fec, 0xfcdc, 0x7fec, 0xfcd0, 0x7feb, 0xfcc3, 0x7fea, 0xfcb6,
+    0x7fea, 0xfcaa, 0x7fe9, 0xfc9d, 0x7fe8, 0xfc91, 0x7fe8, 0xfc84,
+    0x7fe7, 0xfc78, 0x7fe6, 0xfc6b, 0x7fe6, 0xfc5f, 0x7fe5, 0xfc52,
+    0x7fe4, 0xfc45, 0x7fe3, 0xfc39, 0x7fe3, 0xfc2c, 0x7fe2, 0xfc20,
+    0x7fe1, 0xfc13, 0x7fe0, 0xfc07, 0x7fe0, 0xfbfa, 0x7fdf, 0xfbee,
+    0x7fde, 0xfbe1, 0x7fdd, 0xfbd5, 0x7fdc, 0xfbc8, 0x7fdc, 0xfbbc,
+    0x7fdb, 0xfbaf, 0x7fda, 0xfba2, 0x7fd9, 0xfb96, 0x7fd8, 0xfb89,
+    0x7fd7, 0xfb7d, 0x7fd6, 0xfb70, 0x7fd5, 0xfb64, 0x7fd5, 0xfb57,
+    0x7fd4, 0xfb4b, 0x7fd3, 0xfb3e, 0x7fd2, 0xfb32, 0x7fd1, 0xfb25,
+    0x7fd0, 0xfb19, 0x7fcf, 0xfb0c, 0x7fce, 0xfb00, 0x7fcd, 0xfaf3,
+    0x7fcc, 0xfae6, 0x7fcb, 0xfada, 0x7fca, 0xfacd, 0x7fc9, 0xfac1,
+    0x7fc8, 0xfab4, 0x7fc7, 0xfaa8, 0x7fc6, 0xfa9b, 0x7fc5, 0xfa8f,
+    0x7fc4, 0xfa82, 0x7fc3, 0xfa76, 0x7fc1, 0xfa69, 0x7fc0, 0xfa5d,
+    0x7fbf, 0xfa50, 0x7fbe, 0xfa44, 0x7fbd, 0xfa37, 0x7fbc, 0xfa2b,
+    0x7fbb, 0xfa1e, 0x7fb9, 0xfa12, 0x7fb8, 0xfa05, 0x7fb7, 0xf9f9,
+    0x7fb6, 0xf9ec, 0x7fb5, 0xf9e0, 0x7fb4, 0xf9d3, 0x7fb2, 0xf9c7,
+    0x7fb1, 0xf9ba, 0x7fb0, 0xf9ae, 0x7faf, 0xf9a1, 0x7fad, 0xf995,
+    0x7fac, 0xf988, 0x7fab, 0xf97c, 0x7faa, 0xf96f, 0x7fa8, 0xf963,
+    0x7fa7, 0xf956, 0x7fa6, 0xf94a, 0x7fa4, 0xf93d, 0x7fa3, 0xf931,
+    0x7fa2, 0xf924, 0x7fa0, 0xf918, 0x7f9f, 0xf90b, 0x7f9e, 0xf8ff,
+    0x7f9c, 0xf8f2, 0x7f9b, 0xf8e6, 0x7f99, 0xf8d9, 0x7f98, 0xf8cd,
+    0x7f97, 0xf8c0, 0x7f95, 0xf8b4, 0x7f94, 0xf8a7, 0x7f92, 0xf89b,
+    0x7f91, 0xf88e, 0x7f8f, 0xf882, 0x7f8e, 0xf875, 0x7f8c, 0xf869,
+    0x7f8b, 0xf85c, 0x7f89, 0xf850, 0x7f88, 0xf843, 0x7f86, 0xf837,
+    0x7f85, 0xf82a, 0x7f83, 0xf81e, 0x7f82, 0xf811, 0x7f80, 0xf805,
+    0x7f7f, 0xf7f9, 0x7f7d, 0xf7ec, 0x7f7b, 0xf7e0, 0x7f7a, 0xf7d3,
+    0x7f78, 0xf7c7, 0x7f77, 0xf7ba, 0x7f75, 0xf7ae, 0x7f73, 0xf7a1,
+    0x7f72, 0xf795, 0x7f70, 0xf788, 0x7f6e, 0xf77c, 0x7f6d, 0xf76f,
+    0x7f6b, 0xf763, 0x7f69, 0xf757, 0x7f68, 0xf74a, 0x7f66, 0xf73e,
+    0x7f64, 0xf731, 0x7f62, 0xf725, 0x7f61, 0xf718, 0x7f5f, 0xf70c,
+    0x7f5d, 0xf6ff, 0x7f5b, 0xf6f3, 0x7f5a, 0xf6e7, 0x7f58, 0xf6da,
+    0x7f56, 0xf6ce, 0x7f54, 0xf6c1, 0x7f52, 0xf6b5, 0x7f51, 0xf6a8,
+    0x7f4f, 0xf69c, 0x7f4d, 0xf690, 0x7f4b, 0xf683, 0x7f49, 0xf677,
+    0x7f47, 0xf66a, 0x7f45, 0xf65e, 0x7f43, 0xf651, 0x7f42, 0xf645,
+    0x7f40, 0xf639, 0x7f3e, 0xf62c, 0x7f3c, 0xf620, 0x7f3a, 0xf613,
+    0x7f38, 0xf607, 0x7f36, 0xf5fa, 0x7f34, 0xf5ee, 0x7f32, 0xf5e2,
+    0x7f30, 0xf5d5, 0x7f2e, 0xf5c9, 0x7f2c, 0xf5bc, 0x7f2a, 0xf5b0,
+    0x7f28, 0xf5a4, 0x7f26, 0xf597, 0x7f24, 0xf58b, 0x7f22, 0xf57e,
+    0x7f20, 0xf572, 0x7f1e, 0xf566, 0x7f1c, 0xf559, 0x7f19, 0xf54d,
+    0x7f17, 0xf540, 0x7f15, 0xf534, 0x7f13, 0xf528, 0x7f11, 0xf51b,
+    0x7f0f, 0xf50f, 0x7f0d, 0xf503, 0x7f0a, 0xf4f6, 0x7f08, 0xf4ea,
+    0x7f06, 0xf4dd, 0x7f04, 0xf4d1, 0x7f02, 0xf4c5, 0x7f00, 0xf4b8,
+    0x7efd, 0xf4ac, 0x7efb, 0xf4a0, 0x7ef9, 0xf493, 0x7ef7, 0xf487,
+    0x7ef4, 0xf47b, 0x7ef2, 0xf46e, 0x7ef0, 0xf462, 0x7eed, 0xf455,
+    0x7eeb, 0xf449, 0x7ee9, 0xf43d, 0x7ee7, 0xf430, 0x7ee4, 0xf424,
+    0x7ee2, 0xf418, 0x7ee0, 0xf40b, 0x7edd, 0xf3ff, 0x7edb, 0xf3f3,
+    0x7ed8, 0xf3e6, 0x7ed6, 0xf3da, 0x7ed4, 0xf3ce, 0x7ed1, 0xf3c1,
+    0x7ecf, 0xf3b5, 0x7ecc, 0xf3a9, 0x7eca, 0xf39c, 0x7ec8, 0xf390,
+    0x7ec5, 0xf384, 0x7ec3, 0xf377, 0x7ec0, 0xf36b, 0x7ebe, 0xf35f,
+    0x7ebb, 0xf352, 0x7eb9, 0xf346, 0x7eb6, 0xf33a, 0x7eb4, 0xf32d,
+    0x7eb1, 0xf321, 0x7eaf, 0xf315, 0x7eac, 0xf308, 0x7eaa, 0xf2fc,
+    0x7ea7, 0xf2f0, 0x7ea5, 0xf2e4, 0x7ea2, 0xf2d7, 0x7e9f, 0xf2cb,
+    0x7e9d, 0xf2bf, 0x7e9a, 0xf2b2, 0x7e98, 0xf2a6, 0x7e95, 0xf29a,
+    0x7e92, 0xf28e, 0x7e90, 0xf281, 0x7e8d, 0xf275, 0x7e8a, 0xf269,
+    0x7e88, 0xf25c, 0x7e85, 0xf250, 0x7e82, 0xf244, 0x7e80, 0xf238,
+    0x7e7d, 0xf22b, 0x7e7a, 0xf21f, 0x7e77, 0xf213, 0x7e75, 0xf207,
+    0x7e72, 0xf1fa, 0x7e6f, 0xf1ee, 0x7e6c, 0xf1e2, 0x7e6a, 0xf1d5,
+    0x7e67, 0xf1c9, 0x7e64, 0xf1bd, 0x7e61, 0xf1b1, 0x7e5e, 0xf1a4,
+    0x7e5c, 0xf198, 0x7e59, 0xf18c, 0x7e56, 0xf180, 0x7e53, 0xf174,
+    0x7e50, 0xf167, 0x7e4d, 0xf15b, 0x7e4a, 0xf14f, 0x7e48, 0xf143,
+    0x7e45, 0xf136, 0x7e42, 0xf12a, 0x7e3f, 0xf11e, 0x7e3c, 0xf112,
+    0x7e39, 0xf105, 0x7e36, 0xf0f9, 0x7e33, 0xf0ed, 0x7e30, 0xf0e1,
+    0x7e2d, 0xf0d5, 0x7e2a, 0xf0c8, 0x7e27, 0xf0bc, 0x7e24, 0xf0b0,
+    0x7e21, 0xf0a4, 0x7e1e, 0xf098, 0x7e1b, 0xf08b, 0x7e18, 0xf07f,
+    0x7e15, 0xf073, 0x7e12, 0xf067, 0x7e0f, 0xf05b, 0x7e0c, 0xf04e,
+    0x7e09, 0xf042, 0x7e06, 0xf036, 0x7e03, 0xf02a, 0x7dff, 0xf01e,
+    0x7dfc, 0xf012, 0x7df9, 0xf005, 0x7df6, 0xeff9, 0x7df3, 0xefed,
+    0x7df0, 0xefe1, 0x7ded, 0xefd5, 0x7de9, 0xefc9, 0x7de6, 0xefbc,
+    0x7de3, 0xefb0, 0x7de0, 0xefa4, 0x7ddd, 0xef98, 0x7dd9, 0xef8c,
+    0x7dd6, 0xef80, 0x7dd3, 0xef74, 0x7dd0, 0xef67, 0x7dcc, 0xef5b,
+    0x7dc9, 0xef4f, 0x7dc6, 0xef43, 0x7dc2, 0xef37, 0x7dbf, 0xef2b,
+    0x7dbc, 0xef1f, 0x7db9, 0xef13, 0x7db5, 0xef06, 0x7db2, 0xeefa,
+    0x7daf, 0xeeee, 0x7dab, 0xeee2, 0x7da8, 0xeed6, 0x7da4, 0xeeca,
+    0x7da1, 0xeebe, 0x7d9e, 0xeeb2, 0x7d9a, 0xeea6, 0x7d97, 0xee99,
+    0x7d93, 0xee8d, 0x7d90, 0xee81, 0x7d8d, 0xee75, 0x7d89, 0xee69,
+    0x7d86, 0xee5d, 0x7d82, 0xee51, 0x7d7f, 0xee45, 0x7d7b, 0xee39,
+    0x7d78, 0xee2d, 0x7d74, 0xee21, 0x7d71, 0xee15, 0x7d6d, 0xee09,
+    0x7d6a, 0xedfc, 0x7d66, 0xedf0, 0x7d63, 0xede4, 0x7d5f, 0xedd8,
+    0x7d5b, 0xedcc, 0x7d58, 0xedc0, 0x7d54, 0xedb4, 0x7d51, 0xeda8,
+    0x7d4d, 0xed9c, 0x7d49, 0xed90, 0x7d46, 0xed84, 0x7d42, 0xed78,
+    0x7d3f, 0xed6c, 0x7d3b, 0xed60, 0x7d37, 0xed54, 0x7d34, 0xed48,
+    0x7d30, 0xed3c, 0x7d2c, 0xed30, 0x7d28, 0xed24, 0x7d25, 0xed18,
+    0x7d21, 0xed0c, 0x7d1d, 0xed00, 0x7d1a, 0xecf4, 0x7d16, 0xece8,
+    0x7d12, 0xecdc, 0x7d0e, 0xecd0, 0x7d0b, 0xecc4, 0x7d07, 0xecb8,
+    0x7d03, 0xecac, 0x7cff, 0xeca0, 0x7cfb, 0xec94, 0x7cf8, 0xec88,
+    0x7cf4, 0xec7c, 0x7cf0, 0xec70, 0x7cec, 0xec64, 0x7ce8, 0xec58,
+    0x7ce4, 0xec4c, 0x7ce0, 0xec40, 0x7cdd, 0xec34, 0x7cd9, 0xec28,
+    0x7cd5, 0xec1c, 0x7cd1, 0xec10, 0x7ccd, 0xec05, 0x7cc9, 0xebf9,
+    0x7cc5, 0xebed, 0x7cc1, 0xebe1, 0x7cbd, 0xebd5, 0x7cb9, 0xebc9,
+    0x7cb5, 0xebbd, 0x7cb1, 0xebb1, 0x7cad, 0xeba5, 0x7ca9, 0xeb99,
+    0x7ca5, 0xeb8d, 0x7ca1, 0xeb81, 0x7c9d, 0xeb75, 0x7c99, 0xeb6a,
+    0x7c95, 0xeb5e, 0x7c91, 0xeb52, 0x7c8d, 0xeb46, 0x7c89, 0xeb3a,
+    0x7c85, 0xeb2e, 0x7c81, 0xeb22, 0x7c7d, 0xeb16, 0x7c79, 0xeb0a,
+    0x7c74, 0xeaff, 0x7c70, 0xeaf3, 0x7c6c, 0xeae7, 0x7c68, 0xeadb,
+    0x7c64, 0xeacf, 0x7c60, 0xeac3, 0x7c5b, 0xeab7, 0x7c57, 0xeaac,
+    0x7c53, 0xeaa0, 0x7c4f, 0xea94, 0x7c4b, 0xea88, 0x7c46, 0xea7c,
+    0x7c42, 0xea70, 0x7c3e, 0xea65, 0x7c3a, 0xea59, 0x7c36, 0xea4d,
+    0x7c31, 0xea41, 0x7c2d, 0xea35, 0x7c29, 0xea29, 0x7c24, 0xea1e,
+    0x7c20, 0xea12, 0x7c1c, 0xea06, 0x7c17, 0xe9fa, 0x7c13, 0xe9ee,
+    0x7c0f, 0xe9e3, 0x7c0a, 0xe9d7, 0x7c06, 0xe9cb, 0x7c02, 0xe9bf,
+    0x7bfd, 0xe9b4, 0x7bf9, 0xe9a8, 0x7bf5, 0xe99c, 0x7bf0, 0xe990,
+    0x7bec, 0xe984, 0x7be7, 0xe979, 0x7be3, 0xe96d, 0x7bde, 0xe961,
+    0x7bda, 0xe955, 0x7bd6, 0xe94a, 0x7bd1, 0xe93e, 0x7bcd, 0xe932,
+    0x7bc8, 0xe926, 0x7bc4, 0xe91b, 0x7bbf, 0xe90f, 0x7bbb, 0xe903,
+    0x7bb6, 0xe8f7, 0x7bb2, 0xe8ec, 0x7bad, 0xe8e0, 0x7ba9, 0xe8d4,
+    0x7ba4, 0xe8c9, 0x7b9f, 0xe8bd, 0x7b9b, 0xe8b1, 0x7b96, 0xe8a5,
+    0x7b92, 0xe89a, 0x7b8d, 0xe88e, 0x7b88, 0xe882, 0x7b84, 0xe877,
+    0x7b7f, 0xe86b, 0x7b7b, 0xe85f, 0x7b76, 0xe854, 0x7b71, 0xe848,
+    0x7b6d, 0xe83c, 0x7b68, 0xe831, 0x7b63, 0xe825, 0x7b5f, 0xe819,
+    0x7b5a, 0xe80e, 0x7b55, 0xe802, 0x7b50, 0xe7f6, 0x7b4c, 0xe7eb,
+    0x7b47, 0xe7df, 0x7b42, 0xe7d3, 0x7b3e, 0xe7c8, 0x7b39, 0xe7bc,
+    0x7b34, 0xe7b1, 0x7b2f, 0xe7a5, 0x7b2a, 0xe799, 0x7b26, 0xe78e,
+    0x7b21, 0xe782, 0x7b1c, 0xe777, 0x7b17, 0xe76b, 0x7b12, 0xe75f,
+    0x7b0e, 0xe754, 0x7b09, 0xe748, 0x7b04, 0xe73d, 0x7aff, 0xe731,
+    0x7afa, 0xe725, 0x7af5, 0xe71a, 0x7af0, 0xe70e, 0x7aeb, 0xe703,
+    0x7ae6, 0xe6f7, 0x7ae2, 0xe6ec, 0x7add, 0xe6e0, 0x7ad8, 0xe6d4,
+    0x7ad3, 0xe6c9, 0x7ace, 0xe6bd, 0x7ac9, 0xe6b2, 0x7ac4, 0xe6a6,
+    0x7abf, 0xe69b, 0x7aba, 0xe68f, 0x7ab5, 0xe684, 0x7ab0, 0xe678,
+    0x7aab, 0xe66d, 0x7aa6, 0xe661, 0x7aa1, 0xe656, 0x7a9c, 0xe64a,
+    0x7a97, 0xe63f, 0x7a92, 0xe633, 0x7a8d, 0xe628, 0x7a88, 0xe61c,
+    0x7a82, 0xe611, 0x7a7d, 0xe605, 0x7a78, 0xe5fa, 0x7a73, 0xe5ee,
+    0x7a6e, 0xe5e3, 0x7a69, 0xe5d7, 0x7a64, 0xe5cc, 0x7a5f, 0xe5c0,
+    0x7a59, 0xe5b5, 0x7a54, 0xe5a9, 0x7a4f, 0xe59e, 0x7a4a, 0xe592,
+    0x7a45, 0xe587, 0x7a3f, 0xe57c, 0x7a3a, 0xe570, 0x7a35, 0xe565,
+    0x7a30, 0xe559, 0x7a2b, 0xe54e, 0x7a25, 0xe542, 0x7a20, 0xe537,
+    0x7a1b, 0xe52c, 0x7a16, 0xe520, 0x7a10, 0xe515, 0x7a0b, 0xe509,
+    0x7a06, 0xe4fe, 0x7a00, 0xe4f3, 0x79fb, 0xe4e7, 0x79f6, 0xe4dc,
+    0x79f0, 0xe4d0, 0x79eb, 0xe4c5, 0x79e6, 0xe4ba, 0x79e0, 0xe4ae,
+    0x79db, 0xe4a3, 0x79d6, 0xe498, 0x79d0, 0xe48c, 0x79cb, 0xe481,
+    0x79c5, 0xe476, 0x79c0, 0xe46a, 0x79bb, 0xe45f, 0x79b5, 0xe454,
+    0x79b0, 0xe448, 0x79aa, 0xe43d, 0x79a5, 0xe432, 0x799f, 0xe426,
+    0x799a, 0xe41b, 0x7994, 0xe410, 0x798f, 0xe404, 0x7989, 0xe3f9,
+    0x7984, 0xe3ee, 0x797e, 0xe3e2, 0x7979, 0xe3d7, 0x7973, 0xe3cc,
+    0x796e, 0xe3c1, 0x7968, 0xe3b5, 0x7963, 0xe3aa, 0x795d, 0xe39f,
+    0x7958, 0xe394, 0x7952, 0xe388, 0x794c, 0xe37d, 0x7947, 0xe372,
+    0x7941, 0xe367, 0x793b, 0xe35b, 0x7936, 0xe350, 0x7930, 0xe345,
+    0x792b, 0xe33a, 0x7925, 0xe32e, 0x791f, 0xe323, 0x791a, 0xe318,
+    0x7914, 0xe30d, 0x790e, 0xe301, 0x7909, 0xe2f6, 0x7903, 0xe2eb,
+    0x78fd, 0xe2e0, 0x78f7, 0xe2d5, 0x78f2, 0xe2ca, 0x78ec, 0xe2be,
+    0x78e6, 0xe2b3, 0x78e0, 0xe2a8, 0x78db, 0xe29d, 0x78d5, 0xe292,
+    0x78cf, 0xe287, 0x78c9, 0xe27b, 0x78c3, 0xe270, 0x78be, 0xe265,
+    0x78b8, 0xe25a, 0x78b2, 0xe24f, 0x78ac, 0xe244, 0x78a6, 0xe239,
+    0x78a1, 0xe22d, 0x789b, 0xe222, 0x7895, 0xe217, 0x788f, 0xe20c,
+    0x7889, 0xe201, 0x7883, 0xe1f6, 0x787d, 0xe1eb, 0x7877, 0xe1e0,
+    0x7871, 0xe1d5, 0x786b, 0xe1ca, 0x7866, 0xe1be, 0x7860, 0xe1b3,
+    0x785a, 0xe1a8, 0x7854, 0xe19d, 0x784e, 0xe192, 0x7848, 0xe187,
+    0x7842, 0xe17c, 0x783c, 0xe171, 0x7836, 0xe166, 0x7830, 0xe15b,
+    0x782a, 0xe150, 0x7824, 0xe145, 0x781e, 0xe13a, 0x7818, 0xe12f,
+    0x7812, 0xe124, 0x780b, 0xe119, 0x7805, 0xe10e, 0x77ff, 0xe103,
+    0x77f9, 0xe0f8, 0x77f3, 0xe0ed, 0x77ed, 0xe0e2, 0x77e7, 0xe0d7,
+    0x77e1, 0xe0cc, 0x77db, 0xe0c1, 0x77d5, 0xe0b6, 0x77ce, 0xe0ab,
+    0x77c8, 0xe0a0, 0x77c2, 0xe095, 0x77bc, 0xe08a, 0x77b6, 0xe07f,
+    0x77b0, 0xe074, 0x77a9, 0xe069, 0x77a3, 0xe05e, 0x779d, 0xe054,
+    0x7797, 0xe049, 0x7790, 0xe03e, 0x778a, 0xe033, 0x7784, 0xe028,
+    0x777e, 0xe01d, 0x7777, 0xe012, 0x7771, 0xe007, 0x776b, 0xdffc,
+    0x7765, 0xdff1, 0x775e, 0xdfe7, 0x7758, 0xdfdc, 0x7752, 0xdfd1,
+    0x774b, 0xdfc6, 0x7745, 0xdfbb, 0x773f, 0xdfb0, 0x7738, 0xdfa5,
+    0x7732, 0xdf9b, 0x772c, 0xdf90, 0x7725, 0xdf85, 0x771f, 0xdf7a,
+    0x7718, 0xdf6f, 0x7712, 0xdf65, 0x770c, 0xdf5a, 0x7705, 0xdf4f,
+    0x76ff, 0xdf44, 0x76f8, 0xdf39, 0x76f2, 0xdf2f, 0x76eb, 0xdf24,
+    0x76e5, 0xdf19, 0x76df, 0xdf0e, 0x76d8, 0xdf03, 0x76d2, 0xdef9,
+    0x76cb, 0xdeee, 0x76c5, 0xdee3, 0x76be, 0xded8, 0x76b8, 0xdece,
+    0x76b1, 0xdec3, 0x76ab, 0xdeb8, 0x76a4, 0xdead, 0x769d, 0xdea3,
+    0x7697, 0xde98, 0x7690, 0xde8d, 0x768a, 0xde83, 0x7683, 0xde78,
+    0x767d, 0xde6d, 0x7676, 0xde62, 0x766f, 0xde58, 0x7669, 0xde4d,
+    0x7662, 0xde42, 0x765c, 0xde38, 0x7655, 0xde2d, 0x764e, 0xde22,
+    0x7648, 0xde18, 0x7641, 0xde0d, 0x763a, 0xde02, 0x7634, 0xddf8,
+    0x762d, 0xdded, 0x7626, 0xdde2, 0x7620, 0xddd8, 0x7619, 0xddcd,
+    0x7612, 0xddc3, 0x760b, 0xddb8, 0x7605, 0xddad, 0x75fe, 0xdda3,
+    0x75f7, 0xdd98, 0x75f0, 0xdd8e, 0x75ea, 0xdd83, 0x75e3, 0xdd78,
+    0x75dc, 0xdd6e, 0x75d5, 0xdd63, 0x75ce, 0xdd59, 0x75c8, 0xdd4e,
+    0x75c1, 0xdd44, 0x75ba, 0xdd39, 0x75b3, 0xdd2e, 0x75ac, 0xdd24,
+    0x75a5, 0xdd19, 0x759f, 0xdd0f, 0x7598, 0xdd04, 0x7591, 0xdcfa,
+    0x758a, 0xdcef, 0x7583, 0xdce5, 0x757c, 0xdcda, 0x7575, 0xdcd0,
+    0x756e, 0xdcc5, 0x7567, 0xdcbb, 0x7561, 0xdcb0, 0x755a, 0xdca6,
+    0x7553, 0xdc9b, 0x754c, 0xdc91, 0x7545, 0xdc86, 0x753e, 0xdc7c,
+    0x7537, 0xdc72, 0x7530, 0xdc67, 0x7529, 0xdc5d, 0x7522, 0xdc52,
+    0x751b, 0xdc48, 0x7514, 0xdc3d, 0x750d, 0xdc33, 0x7506, 0xdc29,
+    0x74ff, 0xdc1e, 0x74f8, 0xdc14, 0x74f1, 0xdc09, 0x74ea, 0xdbff,
+    0x74e2, 0xdbf5, 0x74db, 0xdbea, 0x74d4, 0xdbe0, 0x74cd, 0xdbd5,
+    0x74c6, 0xdbcb, 0x74bf, 0xdbc1, 0x74b8, 0xdbb6, 0x74b1, 0xdbac,
+    0x74aa, 0xdba2, 0x74a2, 0xdb97, 0x749b, 0xdb8d, 0x7494, 0xdb83,
+    0x748d, 0xdb78, 0x7486, 0xdb6e, 0x747f, 0xdb64, 0x7477, 0xdb59,
+    0x7470, 0xdb4f, 0x7469, 0xdb45, 0x7462, 0xdb3b, 0x745b, 0xdb30,
+    0x7453, 0xdb26, 0x744c, 0xdb1c, 0x7445, 0xdb11, 0x743e, 0xdb07,
+    0x7436, 0xdafd, 0x742f, 0xdaf3, 0x7428, 0xdae8, 0x7420, 0xdade,
+    0x7419, 0xdad4, 0x7412, 0xdaca, 0x740b, 0xdabf, 0x7403, 0xdab5,
+    0x73fc, 0xdaab, 0x73f5, 0xdaa1, 0x73ed, 0xda97, 0x73e6, 0xda8c,
+    0x73df, 0xda82, 0x73d7, 0xda78, 0x73d0, 0xda6e, 0x73c8, 0xda64,
+    0x73c1, 0xda5a, 0x73ba, 0xda4f, 0x73b2, 0xda45, 0x73ab, 0xda3b,
+    0x73a3, 0xda31, 0x739c, 0xda27, 0x7395, 0xda1d, 0x738d, 0xda13,
+    0x7386, 0xda08, 0x737e, 0xd9fe, 0x7377, 0xd9f4, 0x736f, 0xd9ea,
+    0x7368, 0xd9e0, 0x7360, 0xd9d6, 0x7359, 0xd9cc, 0x7351, 0xd9c2,
+    0x734a, 0xd9b8, 0x7342, 0xd9ae, 0x733b, 0xd9a4, 0x7333, 0xd99a,
+    0x732c, 0xd98f, 0x7324, 0xd985, 0x731d, 0xd97b, 0x7315, 0xd971,
+    0x730d, 0xd967, 0x7306, 0xd95d, 0x72fe, 0xd953, 0x72f7, 0xd949,
+    0x72ef, 0xd93f, 0x72e7, 0xd935, 0x72e0, 0xd92b, 0x72d8, 0xd921,
+    0x72d0, 0xd917, 0x72c9, 0xd90d, 0x72c1, 0xd903, 0x72ba, 0xd8f9,
+    0x72b2, 0xd8ef, 0x72aa, 0xd8e6, 0x72a3, 0xd8dc, 0x729b, 0xd8d2,
+    0x7293, 0xd8c8, 0x728b, 0xd8be, 0x7284, 0xd8b4, 0x727c, 0xd8aa,
+    0x7274, 0xd8a0, 0x726d, 0xd896, 0x7265, 0xd88c, 0x725d, 0xd882,
+    0x7255, 0xd878, 0x724e, 0xd86f, 0x7246, 0xd865, 0x723e, 0xd85b,
+    0x7236, 0xd851, 0x722e, 0xd847, 0x7227, 0xd83d, 0x721f, 0xd833,
+    0x7217, 0xd82a, 0x720f, 0xd820, 0x7207, 0xd816, 0x71ff, 0xd80c,
+    0x71f8, 0xd802, 0x71f0, 0xd7f8, 0x71e8, 0xd7ef, 0x71e0, 0xd7e5,
+    0x71d8, 0xd7db, 0x71d0, 0xd7d1, 0x71c8, 0xd7c8, 0x71c0, 0xd7be,
+    0x71b9, 0xd7b4, 0x71b1, 0xd7aa, 0x71a9, 0xd7a0, 0x71a1, 0xd797,
+    0x7199, 0xd78d, 0x7191, 0xd783, 0x7189, 0xd77a, 0x7181, 0xd770,
+    0x7179, 0xd766, 0x7171, 0xd75c, 0x7169, 0xd753, 0x7161, 0xd749,
+    0x7159, 0xd73f, 0x7151, 0xd736, 0x7149, 0xd72c, 0x7141, 0xd722,
+    0x7139, 0xd719, 0x7131, 0xd70f, 0x7129, 0xd705, 0x7121, 0xd6fc,
+    0x7119, 0xd6f2, 0x7111, 0xd6e8, 0x7109, 0xd6df, 0x7101, 0xd6d5,
+    0x70f9, 0xd6cb, 0x70f0, 0xd6c2, 0x70e8, 0xd6b8, 0x70e0, 0xd6af,
+    0x70d8, 0xd6a5, 0x70d0, 0xd69b, 0x70c8, 0xd692, 0x70c0, 0xd688,
+    0x70b8, 0xd67f, 0x70af, 0xd675, 0x70a7, 0xd66c, 0x709f, 0xd662,
+    0x7097, 0xd659, 0x708f, 0xd64f, 0x7087, 0xd645, 0x707e, 0xd63c,
+    0x7076, 0xd632, 0x706e, 0xd629, 0x7066, 0xd61f, 0x705d, 0xd616,
+    0x7055, 0xd60c, 0x704d, 0xd603, 0x7045, 0xd5f9, 0x703c, 0xd5f0,
+    0x7034, 0xd5e6, 0x702c, 0xd5dd, 0x7024, 0xd5d4, 0x701b, 0xd5ca,
+    0x7013, 0xd5c1, 0x700b, 0xd5b7, 0x7002, 0xd5ae, 0x6ffa, 0xd5a4,
+    0x6ff2, 0xd59b, 0x6fea, 0xd592, 0x6fe1, 0xd588, 0x6fd9, 0xd57f,
+    0x6fd0, 0xd575, 0x6fc8, 0xd56c, 0x6fc0, 0xd563, 0x6fb7, 0xd559,
+    0x6faf, 0xd550, 0x6fa7, 0xd547, 0x6f9e, 0xd53d, 0x6f96, 0xd534,
+    0x6f8d, 0xd52a, 0x6f85, 0xd521, 0x6f7d, 0xd518, 0x6f74, 0xd50e,
+    0x6f6c, 0xd505, 0x6f63, 0xd4fc, 0x6f5b, 0xd4f3, 0x6f52, 0xd4e9,
+    0x6f4a, 0xd4e0, 0x6f41, 0xd4d7, 0x6f39, 0xd4cd, 0x6f30, 0xd4c4,
+    0x6f28, 0xd4bb, 0x6f20, 0xd4b2, 0x6f17, 0xd4a8, 0x6f0e, 0xd49f,
+    0x6f06, 0xd496, 0x6efd, 0xd48d, 0x6ef5, 0xd483, 0x6eec, 0xd47a,
+    0x6ee4, 0xd471, 0x6edb, 0xd468, 0x6ed3, 0xd45f, 0x6eca, 0xd455,
+    0x6ec2, 0xd44c, 0x6eb9, 0xd443, 0x6eb0, 0xd43a, 0x6ea8, 0xd431,
+    0x6e9f, 0xd428, 0x6e97, 0xd41e, 0x6e8e, 0xd415, 0x6e85, 0xd40c,
+    0x6e7d, 0xd403, 0x6e74, 0xd3fa, 0x6e6b, 0xd3f1, 0x6e63, 0xd3e8,
+    0x6e5a, 0xd3df, 0x6e51, 0xd3d5, 0x6e49, 0xd3cc, 0x6e40, 0xd3c3,
+    0x6e37, 0xd3ba, 0x6e2f, 0xd3b1, 0x6e26, 0xd3a8, 0x6e1d, 0xd39f,
+    0x6e15, 0xd396, 0x6e0c, 0xd38d, 0x6e03, 0xd384, 0x6dfa, 0xd37b,
+    0x6df2, 0xd372, 0x6de9, 0xd369, 0x6de0, 0xd360, 0x6dd7, 0xd357,
+    0x6dcf, 0xd34e, 0x6dc6, 0xd345, 0x6dbd, 0xd33c, 0x6db4, 0xd333,
+    0x6dab, 0xd32a, 0x6da3, 0xd321, 0x6d9a, 0xd318, 0x6d91, 0xd30f,
+    0x6d88, 0xd306, 0x6d7f, 0xd2fd, 0x6d76, 0xd2f4, 0x6d6e, 0xd2eb,
+    0x6d65, 0xd2e2, 0x6d5c, 0xd2d9, 0x6d53, 0xd2d1, 0x6d4a, 0xd2c8,
+    0x6d41, 0xd2bf, 0x6d38, 0xd2b6, 0x6d2f, 0xd2ad, 0x6d27, 0xd2a4,
+    0x6d1e, 0xd29b, 0x6d15, 0xd292, 0x6d0c, 0xd28a, 0x6d03, 0xd281,
+    0x6cfa, 0xd278, 0x6cf1, 0xd26f, 0x6ce8, 0xd266, 0x6cdf, 0xd25d,
+    0x6cd6, 0xd255, 0x6ccd, 0xd24c, 0x6cc4, 0xd243, 0x6cbb, 0xd23a,
+    0x6cb2, 0xd231, 0x6ca9, 0xd229, 0x6ca0, 0xd220, 0x6c97, 0xd217,
+    0x6c8e, 0xd20e, 0x6c85, 0xd206, 0x6c7c, 0xd1fd, 0x6c73, 0xd1f4,
+    0x6c6a, 0xd1eb, 0x6c61, 0xd1e3, 0x6c58, 0xd1da, 0x6c4f, 0xd1d1,
+    0x6c46, 0xd1c9, 0x6c3d, 0xd1c0, 0x6c34, 0xd1b7, 0x6c2b, 0xd1af,
+    0x6c21, 0xd1a6, 0x6c18, 0xd19d, 0x6c0f, 0xd195, 0x6c06, 0xd18c,
+    0x6bfd, 0xd183, 0x6bf4, 0xd17b, 0x6beb, 0xd172, 0x6be2, 0xd169,
+    0x6bd8, 0xd161, 0x6bcf, 0xd158, 0x6bc6, 0xd150, 0x6bbd, 0xd147,
+    0x6bb4, 0xd13e, 0x6bab, 0xd136, 0x6ba1, 0xd12d, 0x6b98, 0xd125,
+    0x6b8f, 0xd11c, 0x6b86, 0xd114, 0x6b7d, 0xd10b, 0x6b73, 0xd103,
+    0x6b6a, 0xd0fa, 0x6b61, 0xd0f2, 0x6b58, 0xd0e9, 0x6b4e, 0xd0e0,
+    0x6b45, 0xd0d8, 0x6b3c, 0xd0d0, 0x6b33, 0xd0c7, 0x6b29, 0xd0bf,
+    0x6b20, 0xd0b6, 0x6b17, 0xd0ae, 0x6b0d, 0xd0a5, 0x6b04, 0xd09d,
+    0x6afb, 0xd094, 0x6af2, 0xd08c, 0x6ae8, 0xd083, 0x6adf, 0xd07b,
+    0x6ad6, 0xd073, 0x6acc, 0xd06a, 0x6ac3, 0xd062, 0x6ab9, 0xd059,
+    0x6ab0, 0xd051, 0x6aa7, 0xd049, 0x6a9d, 0xd040, 0x6a94, 0xd038,
+    0x6a8b, 0xd030, 0x6a81, 0xd027, 0x6a78, 0xd01f, 0x6a6e, 0xd016,
+    0x6a65, 0xd00e, 0x6a5c, 0xd006, 0x6a52, 0xcffe, 0x6a49, 0xcff5,
+    0x6a3f, 0xcfed, 0x6a36, 0xcfe5, 0x6a2c, 0xcfdc, 0x6a23, 0xcfd4,
+    0x6a1a, 0xcfcc, 0x6a10, 0xcfc4, 0x6a07, 0xcfbb, 0x69fd, 0xcfb3,
+    0x69f4, 0xcfab, 0x69ea, 0xcfa3, 0x69e1, 0xcf9a, 0x69d7, 0xcf92,
+    0x69ce, 0xcf8a, 0x69c4, 0xcf82, 0x69bb, 0xcf79, 0x69b1, 0xcf71,
+    0x69a7, 0xcf69, 0x699e, 0xcf61, 0x6994, 0xcf59, 0x698b, 0xcf51,
+    0x6981, 0xcf48, 0x6978, 0xcf40, 0x696e, 0xcf38, 0x6965, 0xcf30,
+    0x695b, 0xcf28, 0x6951, 0xcf20, 0x6948, 0xcf18, 0x693e, 0xcf10,
+    0x6935, 0xcf07, 0x692b, 0xceff, 0x6921, 0xcef7, 0x6918, 0xceef,
+    0x690e, 0xcee7, 0x6904, 0xcedf, 0x68fb, 0xced7, 0x68f1, 0xcecf,
+    0x68e7, 0xcec7, 0x68de, 0xcebf, 0x68d4, 0xceb7, 0x68ca, 0xceaf,
+    0x68c1, 0xcea7, 0x68b7, 0xce9f, 0x68ad, 0xce97, 0x68a4, 0xce8f,
+    0x689a, 0xce87, 0x6890, 0xce7f, 0x6886, 0xce77, 0x687d, 0xce6f,
+    0x6873, 0xce67, 0x6869, 0xce5f, 0x6860, 0xce57, 0x6856, 0xce4f,
+    0x684c, 0xce47, 0x6842, 0xce40, 0x6838, 0xce38, 0x682f, 0xce30,
+    0x6825, 0xce28, 0x681b, 0xce20, 0x6811, 0xce18, 0x6808, 0xce10,
+    0x67fe, 0xce08, 0x67f4, 0xce01, 0x67ea, 0xcdf9, 0x67e0, 0xcdf1,
+    0x67d6, 0xcde9, 0x67cd, 0xcde1, 0x67c3, 0xcdd9, 0x67b9, 0xcdd2,
+    0x67af, 0xcdca, 0x67a5, 0xcdc2, 0x679b, 0xcdba, 0x6791, 0xcdb2,
+    0x6788, 0xcdab, 0x677e, 0xcda3, 0x6774, 0xcd9b, 0x676a, 0xcd93,
+    0x6760, 0xcd8c, 0x6756, 0xcd84, 0x674c, 0xcd7c, 0x6742, 0xcd75,
+    0x6738, 0xcd6d, 0x672e, 0xcd65, 0x6724, 0xcd5d, 0x671a, 0xcd56,
+    0x6711, 0xcd4e, 0x6707, 0xcd46, 0x66fd, 0xcd3f, 0x66f3, 0xcd37,
+    0x66e9, 0xcd30, 0x66df, 0xcd28, 0x66d5, 0xcd20, 0x66cb, 0xcd19,
+    0x66c1, 0xcd11, 0x66b7, 0xcd09, 0x66ad, 0xcd02, 0x66a3, 0xccfa,
+    0x6699, 0xccf3, 0x668f, 0xcceb, 0x6685, 0xcce3, 0x667b, 0xccdc,
+    0x6671, 0xccd4, 0x6666, 0xcccd, 0x665c, 0xccc5, 0x6652, 0xccbe,
+    0x6648, 0xccb6, 0x663e, 0xccaf, 0x6634, 0xcca7, 0x662a, 0xcca0,
+    0x6620, 0xcc98, 0x6616, 0xcc91, 0x660c, 0xcc89, 0x6602, 0xcc82,
+    0x65f8, 0xcc7a, 0x65ed, 0xcc73, 0x65e3, 0xcc6b, 0x65d9, 0xcc64,
+    0x65cf, 0xcc5d, 0x65c5, 0xcc55, 0x65bb, 0xcc4e, 0x65b1, 0xcc46,
+    0x65a6, 0xcc3f, 0x659c, 0xcc38, 0x6592, 0xcc30, 0x6588, 0xcc29,
+    0x657e, 0xcc21, 0x6574, 0xcc1a, 0x6569, 0xcc13, 0x655f, 0xcc0b,
+    0x6555, 0xcc04, 0x654b, 0xcbfd, 0x6541, 0xcbf5, 0x6536, 0xcbee,
+    0x652c, 0xcbe7, 0x6522, 0xcbe0, 0x6518, 0xcbd8, 0x650d, 0xcbd1,
+    0x6503, 0xcbca, 0x64f9, 0xcbc2, 0x64ef, 0xcbbb, 0x64e4, 0xcbb4,
+    0x64da, 0xcbad, 0x64d0, 0xcba5, 0x64c5, 0xcb9e, 0x64bb, 0xcb97,
+    0x64b1, 0xcb90, 0x64a7, 0xcb89, 0x649c, 0xcb81, 0x6492, 0xcb7a,
+    0x6488, 0xcb73, 0x647d, 0xcb6c, 0x6473, 0xcb65, 0x6469, 0xcb5e,
+    0x645e, 0xcb56, 0x6454, 0xcb4f, 0x644a, 0xcb48, 0x643f, 0xcb41,
+    0x6435, 0xcb3a, 0x642b, 0xcb33, 0x6420, 0xcb2c, 0x6416, 0xcb25,
+    0x640b, 0xcb1e, 0x6401, 0xcb16, 0x63f7, 0xcb0f, 0x63ec, 0xcb08,
+    0x63e2, 0xcb01, 0x63d7, 0xcafa, 0x63cd, 0xcaf3, 0x63c3, 0xcaec,
+    0x63b8, 0xcae5, 0x63ae, 0xcade, 0x63a3, 0xcad7, 0x6399, 0xcad0,
+    0x638e, 0xcac9, 0x6384, 0xcac2, 0x637a, 0xcabb, 0x636f, 0xcab4,
+    0x6365, 0xcaad, 0x635a, 0xcaa6, 0x6350, 0xca9f, 0x6345, 0xca99,
+    0x633b, 0xca92, 0x6330, 0xca8b, 0x6326, 0xca84, 0x631b, 0xca7d,
+    0x6311, 0xca76, 0x6306, 0xca6f, 0x62fc, 0xca68, 0x62f1, 0xca61,
+    0x62e7, 0xca5b, 0x62dc, 0xca54, 0x62d2, 0xca4d, 0x62c7, 0xca46,
+    0x62bc, 0xca3f, 0x62b2, 0xca38, 0x62a7, 0xca32, 0x629d, 0xca2b,
+    0x6292, 0xca24, 0x6288, 0xca1d, 0x627d, 0xca16, 0x6272, 0xca10,
+    0x6268, 0xca09, 0x625d, 0xca02, 0x6253, 0xc9fb, 0x6248, 0xc9f5,
+    0x623d, 0xc9ee, 0x6233, 0xc9e7, 0x6228, 0xc9e0, 0x621e, 0xc9da,
+    0x6213, 0xc9d3, 0x6208, 0xc9cc, 0x61fe, 0xc9c6, 0x61f3, 0xc9bf,
+    0x61e8, 0xc9b8, 0x61de, 0xc9b2, 0x61d3, 0xc9ab, 0x61c8, 0xc9a4,
+    0x61be, 0xc99e, 0x61b3, 0xc997, 0x61a8, 0xc991, 0x619e, 0xc98a,
+    0x6193, 0xc983, 0x6188, 0xc97d, 0x617d, 0xc976, 0x6173, 0xc970,
+    0x6168, 0xc969, 0x615d, 0xc963, 0x6153, 0xc95c, 0x6148, 0xc955,
+    0x613d, 0xc94f, 0x6132, 0xc948, 0x6128, 0xc942, 0x611d, 0xc93b,
+    0x6112, 0xc935, 0x6107, 0xc92e, 0x60fd, 0xc928, 0x60f2, 0xc921,
+    0x60e7, 0xc91b, 0x60dc, 0xc915, 0x60d1, 0xc90e, 0x60c7, 0xc908,
+    0x60bc, 0xc901, 0x60b1, 0xc8fb, 0x60a6, 0xc8f4, 0x609b, 0xc8ee,
+    0x6091, 0xc8e8, 0x6086, 0xc8e1, 0x607b, 0xc8db, 0x6070, 0xc8d4,
+    0x6065, 0xc8ce, 0x605b, 0xc8c8, 0x6050, 0xc8c1, 0x6045, 0xc8bb,
+    0x603a, 0xc8b5, 0x602f, 0xc8ae, 0x6024, 0xc8a8, 0x6019, 0xc8a2,
+    0x600f, 0xc89b, 0x6004, 0xc895, 0x5ff9, 0xc88f, 0x5fee, 0xc889,
+    0x5fe3, 0xc882, 0x5fd8, 0xc87c, 0x5fcd, 0xc876, 0x5fc2, 0xc870,
+    0x5fb7, 0xc869, 0x5fac, 0xc863, 0x5fa2, 0xc85d, 0x5f97, 0xc857,
+    0x5f8c, 0xc850, 0x5f81, 0xc84a, 0x5f76, 0xc844, 0x5f6b, 0xc83e,
+    0x5f60, 0xc838, 0x5f55, 0xc832, 0x5f4a, 0xc82b, 0x5f3f, 0xc825,
+    0x5f34, 0xc81f, 0x5f29, 0xc819, 0x5f1e, 0xc813, 0x5f13, 0xc80d,
+    0x5f08, 0xc807, 0x5efd, 0xc801, 0x5ef2, 0xc7fb, 0x5ee7, 0xc7f5,
+    0x5edc, 0xc7ee, 0x5ed1, 0xc7e8, 0x5ec6, 0xc7e2, 0x5ebb, 0xc7dc,
+    0x5eb0, 0xc7d6, 0x5ea5, 0xc7d0, 0x5e9a, 0xc7ca, 0x5e8f, 0xc7c4,
+    0x5e84, 0xc7be, 0x5e79, 0xc7b8, 0x5e6e, 0xc7b2, 0x5e63, 0xc7ac,
+    0x5e58, 0xc7a6, 0x5e4d, 0xc7a0, 0x5e42, 0xc79a, 0x5e36, 0xc795,
+    0x5e2b, 0xc78f, 0x5e20, 0xc789, 0x5e15, 0xc783, 0x5e0a, 0xc77d,
+    0x5dff, 0xc777, 0x5df4, 0xc771, 0x5de9, 0xc76b, 0x5dde, 0xc765,
+    0x5dd3, 0xc75f, 0x5dc7, 0xc75a, 0x5dbc, 0xc754, 0x5db1, 0xc74e,
+    0x5da6, 0xc748, 0x5d9b, 0xc742, 0x5d90, 0xc73d, 0x5d85, 0xc737,
+    0x5d79, 0xc731, 0x5d6e, 0xc72b, 0x5d63, 0xc725, 0x5d58, 0xc720,
+    0x5d4d, 0xc71a, 0x5d42, 0xc714, 0x5d36, 0xc70e, 0x5d2b, 0xc709,
+    0x5d20, 0xc703, 0x5d15, 0xc6fd, 0x5d0a, 0xc6f7, 0x5cff, 0xc6f2,
+    0x5cf3, 0xc6ec, 0x5ce8, 0xc6e6, 0x5cdd, 0xc6e1, 0x5cd2, 0xc6db,
+    0x5cc6, 0xc6d5, 0x5cbb, 0xc6d0, 0x5cb0, 0xc6ca, 0x5ca5, 0xc6c5,
+    0x5c99, 0xc6bf, 0x5c8e, 0xc6b9, 0x5c83, 0xc6b4, 0x5c78, 0xc6ae,
+    0x5c6c, 0xc6a8, 0x5c61, 0xc6a3, 0x5c56, 0xc69d, 0x5c4b, 0xc698,
+    0x5c3f, 0xc692, 0x5c34, 0xc68d, 0x5c29, 0xc687, 0x5c1e, 0xc682,
+    0x5c12, 0xc67c, 0x5c07, 0xc677, 0x5bfc, 0xc671, 0x5bf0, 0xc66c,
+    0x5be5, 0xc666, 0x5bda, 0xc661, 0x5bce, 0xc65b, 0x5bc3, 0xc656,
+    0x5bb8, 0xc650, 0x5bac, 0xc64b, 0x5ba1, 0xc645, 0x5b96, 0xc640,
+    0x5b8a, 0xc63b, 0x5b7f, 0xc635, 0x5b74, 0xc630, 0x5b68, 0xc62a,
+    0x5b5d, 0xc625, 0x5b52, 0xc620, 0x5b46, 0xc61a, 0x5b3b, 0xc615,
+    0x5b30, 0xc610, 0x5b24, 0xc60a, 0x5b19, 0xc605, 0x5b0d, 0xc600,
+    0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea,
+    0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5,
+    0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1,
+    0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac,
+    0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597,
+    0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583,
+    0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e,
+    0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a,
+    0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546,
+    0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532,
+    0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e,
+    0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b,
+    0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7,
+    0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4,
+    0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1,
+    0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be,
+    0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab,
+    0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498,
+    0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485,
+    0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473,
+    0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461,
+    0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e,
+    0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c,
+    0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a,
+    0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419,
+    0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407,
+    0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6,
+    0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4,
+    0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3,
+    0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2,
+    0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1,
+    0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0,
+    0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390,
+    0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f,
+    0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f,
+    0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f,
+    0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f,
+    0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f,
+    0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f,
+    0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320,
+    0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310,
+    0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301,
+    0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2,
+    0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3,
+    0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4,
+    0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5,
+    0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7,
+    0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8,
+    0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a,
+    0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c,
+    0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e,
+    0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270,
+    0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262,
+    0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255,
+    0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247,
+    0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a,
+    0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d,
+    0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220,
+    0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213,
+    0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207,
+    0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa,
+    0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee,
+    0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2,
+    0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6,
+    0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca,
+    0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be,
+    0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3,
+    0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7,
+    0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c,
+    0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191,
+    0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186,
+    0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b,
+    0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170,
+    0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166,
+    0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b,
+    0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151,
+    0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147,
+    0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d,
+    0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134,
+    0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a,
+    0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120,
+    0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117,
+    0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e,
+    0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105,
+    0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc,
+    0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3,
+    0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb,
+    0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2,
+    0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da,
+    0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2,
+    0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca,
+    0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2,
+    0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb,
+    0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3,
+    0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac,
+    0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5,
+    0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e,
+    0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097,
+    0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090,
+    0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089,
+    0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083,
+    0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d,
+    0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077,
+    0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
+    0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
+    0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
+    0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
+    0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
+    0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
+    0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
+    0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
+    0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
+    0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
+    0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
+    0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
+    0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
+    0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
+    0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
+    0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
+    0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
+    0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
+    0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
+    0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
+    0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
+    0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
+    0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
+    0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
+    0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
+    0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
+    0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
+    0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
+    0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
+    0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
+    0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
+    0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
+    0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
+    0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
+    0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
+    0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
+    0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
+    0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
+    0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
+};
+
+/**    
+* @brief  Initialization function for the Q15 RFFT/RIFFT.   
+* @param[in, out] *S             points to an instance of the Q15 RFFT/RIFFT structure.   
+* @param[in]      fftLenReal     length of the FFT.   
+* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
+* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.   
+*    
+* \par Description:   
+* \par   
+* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
+* \par    
+* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par    
+* This function also initializes Twiddle factor table.     
+*/
+arm_status arm_rfft_init_q15(
+    arm_rfft_instance_q15 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
+{
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
+
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
+
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q15_t *) realCoefAQ15;
+
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q15_t *) realCoefBQ15;
+
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
+
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+    case 8192u:
+        S->twidCoefRModifier = 1u;
+        S->pCfft = &arm_cfft_sR_q15_len4096;
+        break;
+    case 4096u:
+        S->twidCoefRModifier = 2u;
+        S->pCfft = &arm_cfft_sR_q15_len2048;
+        break;
+    case 2048u:
+        S->twidCoefRModifier = 4u;
+        S->pCfft = &arm_cfft_sR_q15_len1024;
+        break;
+    case 1024u:
+        S->twidCoefRModifier = 8u;
+        S->pCfft = &arm_cfft_sR_q15_len512;
+        break;
+    case 512u:
+        S->twidCoefRModifier = 16u;
+        S->pCfft = &arm_cfft_sR_q15_len256;
+        break;
+    case 256u:
+        S->twidCoefRModifier = 32u;
+        S->pCfft = &arm_cfft_sR_q15_len128;
+        break;
+    case 128u:
+        S->twidCoefRModifier = 64u;
+        S->pCfft = &arm_cfft_sR_q15_len64;
+        break;
+    case 64u:
+        S->twidCoefRModifier = 128u;
+        S->pCfft = &arm_cfft_sR_q15_len32;
+        break;
+    case 32u:
+        S->twidCoefRModifier = 256u;
+        S->pCfft = &arm_cfft_sR_q15_len16;
+        break;
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
+
+    /* return the status of RFFT Init function */
+    return (status);
+}
+
+/**    
+* @} end of RealFFT group    
+*/
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
new file mode 100644
index 0000000..8ff254c
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_init_q31.c
@@ -0,0 +1,4285 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_init_q31.c    
+*    
+* Description:	RFFT & RIFFT Q31 initialisation function    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+/**    
+* @ingroup groupTransforms    
+*/
+
+/**    
+* @addtogroup RealFFT    
+* @{    
+*/
+
+/**    
+* \par    
+* Generation fixed-point realCoefAQ31 array in Q31 format:    
+* \par    
+* n = 4096    
+* <pre>for (i = 0; i < n; i++)    
+* {    
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+* }</pre>    
+* \par    
+* Convert to fixed point Q31 format    
+*     round(pATable[i] * pow(2, 31))    
+*/
+
+
+static const q31_t realCoefAQ31[8192] = {
+    0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
+    0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
+    0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
+    0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
+    0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
+    0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
+    0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
+    0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
+    0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
+    0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
+    0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
+    0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
+    0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
+    0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
+    0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
+    0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
+    0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
+    0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
+    0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
+    0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
+    0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
+    0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
+    0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
+    0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
+    0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
+    0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
+    0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
+    0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
+    0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
+    0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
+    0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
+    0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
+    0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
+    0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
+    0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
+    0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
+    0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
+    0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
+    0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
+    0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
+    0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
+    0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
+    0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
+    0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
+    0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
+    0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
+    0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
+    0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
+    0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
+    0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
+    0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
+    0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
+    0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
+    0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
+    0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
+    0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
+    0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
+    0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
+    0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
+    0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
+    0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
+    0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
+    0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
+    0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
+    0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
+    0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
+    0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
+    0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
+    0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
+    0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
+    0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
+    0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
+    0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
+    0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
+    0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
+    0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
+    0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
+    0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
+    0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
+    0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
+    0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
+    0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
+    0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
+    0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
+    0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
+    0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
+    0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
+    0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
+    0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
+    0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
+    0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
+    0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
+    0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
+    0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
+    0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
+    0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
+    0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
+    0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
+    0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
+    0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
+    0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
+    0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
+    0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
+    0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
+    0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
+    0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
+    0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
+    0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
+    0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
+    0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
+    0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
+    0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
+    0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
+    0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
+    0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
+    0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
+    0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
+    0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
+    0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
+    0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
+    0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
+    0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
+    0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
+    0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
+    0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
+    0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
+    0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
+    0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
+    0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
+    0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
+    0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
+    0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
+    0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
+    0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
+    0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
+    0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
+    0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
+    0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
+    0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
+    0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
+    0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
+    0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
+    0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
+    0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
+    0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
+    0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
+    0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
+    0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
+    0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
+    0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
+    0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
+    0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
+    0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
+    0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
+    0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
+    0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
+    0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
+    0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
+    0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
+    0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
+    0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
+    0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
+    0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
+    0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
+    0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
+    0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
+    0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
+    0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
+    0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
+    0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
+    0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
+    0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
+    0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
+    0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
+    0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
+    0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
+    0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
+    0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
+    0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
+    0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
+    0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
+    0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
+    0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
+    0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
+    0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
+    0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
+    0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
+    0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
+    0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
+    0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
+    0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
+    0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
+    0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
+    0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
+    0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
+    0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
+    0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
+    0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
+    0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
+    0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
+    0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
+    0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
+    0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
+    0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
+    0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
+    0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
+    0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
+    0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
+    0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
+    0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
+    0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
+    0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
+    0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
+    0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
+    0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
+    0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
+    0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
+    0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
+    0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
+    0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
+    0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
+    0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
+    0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
+    0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
+    0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
+    0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
+    0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
+    0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
+    0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
+    0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
+    0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
+    0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
+    0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
+    0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
+    0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
+    0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
+    0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
+    0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
+    0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
+    0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
+    0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
+    0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
+    0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
+    0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
+    0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
+    0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
+    0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
+    0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
+    0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
+    0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
+    0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
+    0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
+    0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
+    0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
+    0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
+    0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
+    0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
+    0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
+    0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
+    0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
+    0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
+    0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
+    0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
+    0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
+    0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
+    0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
+    0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
+    0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
+    0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
+    0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
+    0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
+    0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
+    0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
+    0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
+    0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
+    0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
+    0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
+    0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
+    0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
+    0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
+    0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
+    0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
+    0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
+    0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
+    0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
+    0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
+    0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
+    0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
+    0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
+    0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
+    0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
+    0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
+    0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
+    0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
+    0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
+    0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
+    0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
+    0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
+    0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
+    0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
+    0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
+    0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
+    0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
+    0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
+    0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
+    0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
+    0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
+    0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
+    0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
+    0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
+    0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
+    0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
+    0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
+    0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
+    0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
+    0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
+    0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
+    0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
+    0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
+    0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
+    0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
+    0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
+    0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
+    0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
+    0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
+    0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
+    0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
+    0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
+    0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
+    0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
+    0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
+    0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
+    0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
+    0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
+    0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
+    0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
+    0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
+    0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
+    0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
+    0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
+    0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
+    0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
+    0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
+    0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
+    0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
+    0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
+    0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
+    0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
+    0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
+    0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
+    0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
+    0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
+    0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
+    0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
+    0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
+    0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
+    0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
+    0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
+    0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
+    0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
+    0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
+    0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
+    0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
+    0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
+    0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
+    0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
+    0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
+    0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
+    0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
+    0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
+    0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
+    0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
+    0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
+    0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
+    0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
+    0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
+    0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
+    0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
+    0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
+    0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
+    0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
+    0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
+    0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
+    0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
+    0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
+    0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
+    0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
+    0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
+    0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
+    0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
+    0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
+    0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
+    0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
+    0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
+    0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
+    0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
+    0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
+    0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
+    0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
+    0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
+    0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
+    0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
+    0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
+    0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
+    0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
+    0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
+    0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
+    0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
+    0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
+    0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
+    0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
+    0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
+    0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
+    0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
+    0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
+    0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
+    0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
+    0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
+    0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
+    0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
+    0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
+    0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
+    0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
+    0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
+    0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
+    0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
+    0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
+    0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
+    0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
+    0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
+    0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
+    0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
+    0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
+    0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
+    0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
+    0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
+    0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
+    0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
+    0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
+    0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
+    0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
+    0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
+    0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
+    0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
+    0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
+    0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
+    0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
+    0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
+    0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
+    0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
+    0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
+    0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
+    0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
+    0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
+    0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
+    0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
+    0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
+    0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
+    0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
+    0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
+    0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
+    0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
+    0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
+    0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
+    0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
+    0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
+    0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
+    0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
+    0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
+    0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
+    0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
+    0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
+    0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
+    0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
+    0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
+    0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
+    0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
+    0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
+    0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
+    0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
+    0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
+    0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
+    0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
+    0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
+    0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
+    0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
+    0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
+    0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
+    0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
+    0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
+    0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
+    0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
+    0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
+    0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
+    0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
+    0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
+    0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
+    0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
+    0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
+    0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
+    0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
+    0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
+    0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
+    0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
+    0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
+    0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
+    0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
+    0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
+    0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
+    0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
+    0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
+    0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
+    0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
+    0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
+    0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
+    0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
+    0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
+    0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
+    0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
+    0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
+    0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
+    0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
+    0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
+    0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
+    0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
+    0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
+    0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
+    0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
+    0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
+    0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
+    0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
+    0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
+    0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
+    0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
+    0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
+    0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
+    0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
+    0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
+    0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
+    0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
+    0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
+    0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
+    0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
+    0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
+    0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
+    0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
+    0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
+    0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
+    0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
+    0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
+    0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
+    0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
+    0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
+    0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
+    0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
+    0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
+    0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
+    0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
+    0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
+    0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
+    0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
+    0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
+    0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
+    0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
+    0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
+    0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
+    0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
+    0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
+    0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
+    0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
+    0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
+    0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
+    0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
+    0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
+    0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
+    0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
+    0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
+    0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
+    0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
+    0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
+    0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
+    0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
+    0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
+    0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
+    0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
+    0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
+    0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
+    0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
+    0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
+    0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
+    0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
+    0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
+    0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
+    0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
+    0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
+    0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
+    0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
+    0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
+    0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
+    0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
+    0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
+    0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
+    0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
+    0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
+    0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
+    0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
+    0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
+    0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
+    0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
+    0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
+    0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
+    0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
+    0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
+    0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
+    0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
+    0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
+    0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
+    0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
+    0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
+    0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
+    0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
+    0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
+    0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
+    0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
+    0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
+    0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
+    0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
+    0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
+    0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
+    0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
+    0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
+    0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
+    0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
+    0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
+    0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
+    0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
+    0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
+    0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
+    0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
+    0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
+    0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
+    0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
+    0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
+    0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
+    0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
+    0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
+    0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
+    0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
+    0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
+    0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
+    0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
+    0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
+    0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
+    0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
+    0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
+    0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
+    0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
+    0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
+    0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
+    0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
+    0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
+    0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
+    0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
+    0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
+    0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
+    0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
+    0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
+    0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
+    0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
+    0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
+    0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
+    0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
+    0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
+    0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
+    0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
+    0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
+    0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
+    0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
+    0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
+    0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
+    0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
+    0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
+    0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
+    0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
+    0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
+    0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
+    0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
+    0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
+    0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
+    0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
+    0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
+    0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
+    0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
+    0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
+    0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
+    0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
+    0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
+    0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
+    0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
+    0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
+    0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
+    0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
+    0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
+    0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
+    0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
+    0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
+    0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
+    0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
+    0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
+    0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
+    0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
+    0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
+    0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
+    0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
+    0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
+    0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
+    0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
+    0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
+    0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
+    0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
+    0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
+    0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
+    0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
+    0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
+    0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
+    0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
+    0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
+    0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
+    0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
+    0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
+    0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
+    0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
+    0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
+    0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
+    0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
+    0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
+    0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
+    0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
+    0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
+    0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
+    0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
+    0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
+    0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
+    0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
+    0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
+    0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
+    0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
+    0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
+    0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
+    0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
+    0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
+    0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
+    0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
+    0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
+    0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
+    0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
+    0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
+    0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
+    0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
+    0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
+    0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
+    0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
+    0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
+    0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
+    0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
+    0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
+    0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
+    0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
+    0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
+    0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
+    0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
+    0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
+    0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
+    0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
+    0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
+    0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
+    0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
+    0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
+    0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
+    0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
+    0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
+    0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
+    0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
+    0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
+    0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
+    0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
+    0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
+    0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
+    0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
+    0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
+    0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
+    0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
+    0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
+    0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
+    0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
+    0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
+    0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
+    0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
+    0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
+    0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
+    0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
+    0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
+    0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
+    0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
+    0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
+    0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
+    0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
+    0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
+    0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
+    0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
+    0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
+    0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
+    0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
+    0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
+    0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
+    0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
+    0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
+    0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
+    0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
+    0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
+    0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
+    0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
+    0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
+    0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
+    0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
+    0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
+    0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
+    0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
+    0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
+    0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
+    0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
+    0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
+    0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
+    0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
+    0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
+    0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
+    0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
+    0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
+    0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
+    0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
+    0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
+    0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
+    0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
+    0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
+    0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
+    0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
+    0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
+    0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
+    0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
+    0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
+    0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
+    0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
+    0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
+    0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
+    0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
+    0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
+    0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
+    0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
+    0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
+    0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
+    0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
+    0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
+    0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
+    0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
+    0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
+    0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
+    0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
+    0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
+    0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
+    0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
+    0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
+    0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
+    0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
+    0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
+    0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
+    0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
+    0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
+    0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
+    0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
+    0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
+    0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
+    0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
+    0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
+    0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
+    0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
+    0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
+    0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
+    0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
+    0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
+    0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
+    0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
+    0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
+    0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
+    0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
+    0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
+    0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
+    0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
+    0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
+    0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
+    0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
+    0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
+    0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
+    0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
+    0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
+    0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
+    0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
+    0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
+    0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
+    0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
+    0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
+    0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
+    0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
+    0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
+    0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
+    0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
+    0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
+    0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
+    0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
+    0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
+    0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
+    0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
+    0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
+    0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
+    0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
+    0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
+    0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
+    0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
+    0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
+    0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
+    0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
+    0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
+    0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
+    0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
+    0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
+    0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
+    0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
+    0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
+    0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
+    0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
+    0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
+    0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
+    0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
+    0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
+    0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
+    0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
+    0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
+    0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
+    0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
+    0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
+    0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
+    0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
+    0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
+    0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
+    0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
+    0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
+    0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
+    0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
+    0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
+    0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
+    0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
+    0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
+    0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
+    0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
+    0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
+    0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
+    0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
+    0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
+    0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
+    0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
+    0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
+    0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
+    0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
+    0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
+    0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
+    0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
+    0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
+    0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
+    0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
+    0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
+    0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
+    0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
+    0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
+    0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
+    0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
+    0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
+    0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
+    0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
+    0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
+    0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
+    0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
+    0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
+    0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
+    0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
+    0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
+    0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
+    0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
+    0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
+    0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
+    0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
+    0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
+    0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
+    0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
+    0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
+    0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
+    0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
+    0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
+    0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
+    0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
+    0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
+    0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
+    0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
+    0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
+    0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
+    0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
+    0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
+    0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
+    0x13bd3, 0xff36f170, 0x11594, 0xff438234,
+    0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
+    0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
+    0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
+    0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
+    0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
+    0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
+    0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
+    0x0, 0x0, 0x13c, 0xc90fe,
+    0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
+    0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
+    0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
+    0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
+    0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
+    0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
+    0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
+    0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
+    0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
+    0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
+    0x25519, 0x1147271, 0x28c9c, 0x12102f4,
+    0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
+    0x341f4, 0x146b438, 0x38356, 0x153448c,
+    0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
+    0x45648, 0x178f536, 0x4a188, 0x1858552,
+    0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
+    0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
+    0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
+    0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
+    0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
+    0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
+    0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
+    0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
+    0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
+    0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
+    0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
+    0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
+    0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
+    0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
+    0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
+    0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
+    0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
+    0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
+    0x164757, 0x3562038, 0x16f047, 0x362acc5,
+    0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
+    0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
+    0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
+    0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
+    0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
+    0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
+    0x2064ab, 0x405c361, 0x213018, 0x4124dee,
+    0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
+    0x23a124, 0x437eca4, 0x24766a, 0x444768d,
+    0x254e27, 0x451004d, 0x262859, 0x45d89e2,
+    0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
+    0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
+    0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
+    0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
+    0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
+    0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
+    0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
+    0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
+    0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
+    0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
+    0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
+    0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
+    0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
+    0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
+    0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
+    0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
+    0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
+    0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
+    0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
+    0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
+    0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
+    0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
+    0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
+    0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
+    0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
+    0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
+    0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
+    0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
+    0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
+    0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
+    0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
+    0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
+    0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
+    0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
+    0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
+    0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
+    0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
+    0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
+    0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
+    0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
+    0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
+    0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
+    0x91b01d, 0x884104b, 0x935d64, 0x8908483,
+    0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
+    0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
+    0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
+    0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
+    0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
+    0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
+    0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
+    0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
+    0xb15502, 0x9640837, 0xb32e42, 0x9707635,
+    0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
+    0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
+    0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
+    0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
+    0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
+    0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
+    0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
+    0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
+    0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
+    0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
+    0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
+    0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
+    0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
+    0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
+    0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
+    0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
+    0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
+    0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
+    0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
+    0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
+    0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
+    0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
+    0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
+    0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
+    0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
+    0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
+    0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
+    0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
+    0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
+    0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
+    0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
+    0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
+    0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
+    0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
+    0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
+    0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
+    0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
+    0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
+    0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
+    0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
+    0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
+    0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
+    0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
+    0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
+    0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
+    0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
+    0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
+    0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
+    0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
+    0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
+    0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
+    0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
+    0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
+    0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
+    0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
+    0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
+    0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
+    0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
+    0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
+    0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
+    0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
+    0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
+    0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
+    0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
+    0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
+    0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
+    0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
+    0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
+    0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
+    0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
+    0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
+    0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
+    0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
+    0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
+    0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
+    0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
+    0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
+    0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
+    0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
+    0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
+    0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
+    0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
+    0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
+    0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
+    0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
+    0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
+    0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
+    0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
+    0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
+    0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
+    0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
+    0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
+    0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
+    0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
+    0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
+    0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
+    0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
+    0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
+    0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
+    0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
+    0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
+    0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
+    0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
+    0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
+    0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
+    0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
+    0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
+    0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
+    0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
+    0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
+    0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
+    0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
+    0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
+    0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
+    0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
+    0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
+    0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
+    0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
+    0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
+    0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
+    0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
+    0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
+    0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
+    0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
+    0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
+    0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
+    0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
+    0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
+    0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
+    0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
+    0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
+    0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
+    0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
+    0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
+    0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
+    0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
+    0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
+    0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
+    0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
+    0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
+    0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
+    0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
+    0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
+    0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
+    0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
+    0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
+    0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
+    0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
+    0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
+    0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
+    0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
+    0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
+    0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
+    0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
+    0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
+    0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
+    0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
+    0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
+    0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
+    0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
+    0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
+    0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
+    0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
+    0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
+    0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
+    0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
+    0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
+    0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
+    0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
+    0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
+    0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
+    0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
+    0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
+    0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
+    0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
+    0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
+    0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
+    0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
+    0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
+    0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
+    0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
+    0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
+    0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
+    0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
+    0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
+    0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
+    0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
+    0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
+    0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
+    0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
+    0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
+    0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
+    0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
+    0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
+    0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
+    0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
+    0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
+    0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
+    0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
+    0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
+    0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
+    0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
+    0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
+    0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
+    0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
+    0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
+    0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
+    0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
+    0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
+    0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
+    0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
+    0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
+    0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
+    0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
+    0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
+    0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
+    0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
+    0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
+    0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
+    0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
+    0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
+    0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
+    0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
+    0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
+    0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
+    0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
+    0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
+    0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
+    0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
+    0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
+    0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
+    0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
+    0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
+    0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
+    0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
+    0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
+    0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
+    0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
+    0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
+    0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
+    0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
+    0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
+    0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
+    0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
+    0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
+    0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
+    0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
+    0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
+    0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
+    0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
+    0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
+    0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
+    0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
+    0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
+    0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
+    0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
+    0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
+    0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
+    0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
+    0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
+    0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
+    0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
+    0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
+    0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
+    0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
+    0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
+    0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
+    0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
+    0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
+    0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
+    0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
+    0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
+    0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
+    0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
+    0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
+    0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
+    0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
+    0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
+    0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
+    0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
+    0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
+    0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
+    0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
+    0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
+    0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
+    0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
+    0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
+    0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
+    0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
+    0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
+    0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
+    0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
+    0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
+    0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
+    0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
+    0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
+    0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
+    0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
+    0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
+    0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
+    0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
+    0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
+    0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
+    0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
+    0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
+    0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
+    0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
+    0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
+    0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
+    0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
+    0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
+    0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
+    0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
+    0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
+    0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
+    0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
+    0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
+    0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
+    0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
+    0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
+    0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
+    0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
+    0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
+    0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
+    0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
+    0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
+    0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
+    0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
+    0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
+    0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
+    0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
+    0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
+    0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
+    0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
+    0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
+    0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
+    0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
+    0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
+    0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
+    0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
+    0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
+    0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
+    0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
+    0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
+    0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
+    0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
+    0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
+    0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
+    0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
+    0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
+    0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
+    0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
+    0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
+    0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
+    0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
+    0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
+    0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
+    0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
+    0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
+    0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
+    0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
+    0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
+    0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
+    0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
+    0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
+    0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
+    0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
+    0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
+    0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
+    0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
+    0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
+    0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
+    0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
+    0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
+    0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
+    0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
+    0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
+    0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
+    0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
+    0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
+    0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
+    0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
+    0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
+    0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
+    0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
+    0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
+    0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
+    0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
+    0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
+    0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
+    0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
+    0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
+    0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
+    0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
+    0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
+    0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
+    0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
+    0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
+    0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
+    0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
+    0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
+    0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
+    0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
+    0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
+    0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
+    0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
+    0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
+    0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
+    0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
+    0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
+    0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
+    0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
+    0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
+    0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
+    0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
+    0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
+    0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
+    0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
+    0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
+    0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
+    0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
+    0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
+    0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
+    0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
+    0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
+    0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
+    0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
+    0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
+    0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
+    0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
+    0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
+    0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
+    0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
+    0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
+    0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
+    0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
+    0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
+    0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
+    0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
+    0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
+    0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
+    0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
+    0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
+    0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
+    0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
+    0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
+    0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
+    0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
+    0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
+    0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
+    0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
+    0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
+    0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
+    0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
+    0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
+    0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
+    0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
+    0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
+    0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
+    0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
+    0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
+    0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
+    0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
+    0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
+    0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
+    0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
+    0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
+    0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
+    0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
+    0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
+    0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
+    0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
+    0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
+    0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
+    0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
+    0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
+    0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
+    0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
+    0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
+    0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
+    0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
+    0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
+    0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
+    0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
+    0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
+    0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
+    0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
+    0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
+    0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
+    0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
+    0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
+    0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
+    0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
+    0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
+    0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
+    0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
+    0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
+    0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
+    0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
+    0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
+    0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
+    0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
+    0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
+    0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
+    0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
+    0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
+    0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
+    0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
+    0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
+    0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
+    0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
+    0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
+    0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
+    0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
+    0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
+    0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
+    0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
+    0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
+    0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
+    0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
+    0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
+    0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
+    0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
+    0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
+    0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
+    0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
+    0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
+    0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
+    0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
+    0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
+    0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
+    0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
+    0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
+    0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
+    0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
+    0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
+    0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
+    0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
+    0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
+    0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
+    0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
+    0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
+    0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
+    0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
+    0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
+    0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
+    0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
+    0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
+    0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
+    0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
+    0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
+    0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
+    0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
+    0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
+    0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
+    0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
+    0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
+    0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
+    0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
+    0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
+    0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
+    0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
+    0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
+    0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
+    0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
+    0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
+    0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
+    0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
+    0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
+    0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
+    0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
+    0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
+    0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
+    0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
+    0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
+    0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
+    0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
+    0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
+    0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
+    0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
+    0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
+    0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
+    0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
+    0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
+    0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
+    0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
+    0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
+    0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
+    0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
+    0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
+    0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
+    0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
+    0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
+    0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
+    0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
+    0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
+    0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
+    0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
+    0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
+    0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
+    0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
+    0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
+    0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
+    0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
+    0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
+    0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
+    0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
+    0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
+    0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
+    0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
+    0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
+    0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
+    0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
+    0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
+    0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
+    0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
+    0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
+    0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
+    0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
+    0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
+    0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
+    0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
+    0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
+    0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
+    0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
+    0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
+    0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
+    0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
+    0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
+    0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
+    0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
+    0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
+    0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
+    0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
+    0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
+    0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
+    0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
+    0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
+    0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
+    0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
+    0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
+    0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
+    0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
+    0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
+    0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
+    0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
+    0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
+    0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
+    0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
+    0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
+    0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
+    0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
+    0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
+    0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
+    0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
+    0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
+    0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
+    0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
+    0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
+    0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
+    0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
+    0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
+    0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
+    0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
+    0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
+    0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
+    0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
+    0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
+    0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
+    0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
+    0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
+    0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
+    0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
+    0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
+    0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
+    0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
+    0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
+    0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
+    0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
+    0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
+    0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
+    0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
+    0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
+    0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
+    0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
+    0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
+    0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
+    0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
+    0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
+    0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
+    0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
+    0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
+    0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
+    0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
+    0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
+    0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
+    0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
+    0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
+    0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
+    0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
+    0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
+    0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
+    0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
+    0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
+    0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
+    0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
+    0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
+    0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
+    0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
+    0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
+    0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
+    0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
+    0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
+    0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
+    0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
+    0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
+    0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
+    0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
+    0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
+    0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
+    0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
+    0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
+    0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
+    0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
+    0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
+    0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
+    0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
+    0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
+    0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
+    0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
+    0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
+    0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
+    0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
+    0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
+    0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
+    0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
+    0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
+    0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
+    0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
+    0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
+    0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
+    0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
+    0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
+    0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
+    0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
+    0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
+    0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
+    0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
+    0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
+    0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
+    0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
+    0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
+    0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
+    0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
+    0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
+    0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
+    0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
+    0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
+    0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
+    0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
+    0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
+    0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
+    0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
+    0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
+    0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
+    0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
+    0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
+    0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
+    0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
+    0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
+    0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
+    0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
+    0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
+    0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
+    0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
+    0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
+    0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
+    0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
+    0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
+    0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
+    0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
+    0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
+    0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
+    0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
+    0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
+    0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
+    0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
+    0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
+    0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
+    0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
+    0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
+    0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
+    0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
+    0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
+    0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
+    0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
+    0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
+    0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
+    0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
+    0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
+    0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
+    0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
+    0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
+    0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
+    0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
+    0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
+    0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
+    0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
+    0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
+    0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
+    0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
+    0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
+    0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
+    0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
+    0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
+    0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
+    0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
+    0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
+    0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
+    0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
+    0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
+    0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
+    0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
+    0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
+    0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
+    0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
+    0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
+    0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
+    0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
+    0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
+    0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
+    0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
+    0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
+    0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
+    0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
+    0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
+    0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
+    0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
+    0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
+    0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
+    0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
+    0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
+    0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
+    0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
+    0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
+    0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
+    0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
+    0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
+    0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
+    0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
+    0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
+    0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
+    0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
+    0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
+    0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
+    0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
+    0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
+    0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
+    0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
+    0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
+    0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
+    0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
+    0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
+    0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
+    0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
+    0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
+    0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
+    0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
+    0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
+    0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
+    0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
+    0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
+    0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
+    0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
+    0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
+    0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
+    0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
+    0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
+    0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
+    0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
+    0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
+    0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
+    0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
+    0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
+    0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
+    0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
+    0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
+    0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
+    0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
+    0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
+    0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
+    0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
+    0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
+    0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
+    0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
+    0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
+    0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
+    0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
+    0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
+    0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
+    0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
+    0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
+    0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
+    0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
+    0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
+    0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
+    0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
+    0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
+    0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
+    0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
+    0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
+    0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
+    0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
+    0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
+    0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
+    0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
+    0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
+    0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
+    0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
+    0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
+    0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
+    0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
+    0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
+    0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
+    0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
+    0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
+    0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
+};
+
+
+/**    
+* \par   
+* Generation of realCoefBQ31 array:    
+* \par    
+*  n = 4096        
+* <pre>for (i = 0; i < n; i++)    
+* {    
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+* } </pre>    
+* \par    
+* Convert to fixed point Q31 format    
+*     round(pBTable[i] * pow(2, 31))    
+*    
+*/
+
+static const q31_t realCoefBQ31[8192] = {
+    0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
+    0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
+    0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
+    0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
+    0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
+    0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
+    0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
+    0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
+    0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
+    0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
+    0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
+    0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
+    0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
+    0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
+    0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
+    0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
+    0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
+    0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
+    0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
+    0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
+    0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
+    0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
+    0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
+    0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
+    0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
+    0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
+    0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
+    0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
+    0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
+    0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
+    0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
+    0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
+    0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
+    0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
+    0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
+    0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
+    0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
+    0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
+    0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
+    0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
+    0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
+    0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
+    0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
+    0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
+    0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
+    0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
+    0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
+    0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
+    0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
+    0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
+    0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
+    0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
+    0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
+    0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
+    0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
+    0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
+    0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
+    0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
+    0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
+    0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
+    0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
+    0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
+    0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
+    0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
+    0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
+    0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
+    0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
+    0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
+    0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
+    0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
+    0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
+    0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
+    0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
+    0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
+    0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
+    0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
+    0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
+    0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
+    0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
+    0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
+    0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
+    0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
+    0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
+    0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
+    0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
+    0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
+    0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
+    0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
+    0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
+    0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
+    0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
+    0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
+    0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
+    0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
+    0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
+    0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
+    0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
+    0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
+    0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
+    0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
+    0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
+    0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
+    0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
+    0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
+    0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
+    0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
+    0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
+    0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
+    0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
+    0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
+    0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
+    0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
+    0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
+    0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
+    0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
+    0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
+    0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
+    0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
+    0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
+    0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
+    0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
+    0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
+    0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
+    0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
+    0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
+    0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
+    0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
+    0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
+    0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
+    0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
+    0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
+    0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
+    0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
+    0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
+    0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
+    0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
+    0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
+    0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
+    0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
+    0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
+    0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
+    0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
+    0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
+    0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
+    0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
+    0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
+    0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
+    0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
+    0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
+    0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
+    0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
+    0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
+    0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
+    0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
+    0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
+    0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
+    0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
+    0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
+    0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
+    0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
+    0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
+    0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
+    0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
+    0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
+    0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
+    0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
+    0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
+    0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
+    0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
+    0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
+    0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
+    0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
+    0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
+    0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
+    0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
+    0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
+    0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
+    0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
+    0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
+    0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
+    0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
+    0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
+    0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
+    0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
+    0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
+    0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
+    0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
+    0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
+    0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
+    0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
+    0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
+    0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
+    0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
+    0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
+    0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
+    0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
+    0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
+    0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
+    0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
+    0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
+    0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
+    0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
+    0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
+    0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
+    0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
+    0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
+    0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
+    0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
+    0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
+    0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
+    0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
+    0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
+    0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
+    0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
+    0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
+    0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
+    0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
+    0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
+    0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
+    0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
+    0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
+    0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
+    0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
+    0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
+    0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
+    0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
+    0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
+    0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
+    0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
+    0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
+    0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
+    0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
+    0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
+    0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
+    0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
+    0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
+    0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
+    0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
+    0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
+    0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
+    0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
+    0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
+    0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
+    0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
+    0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
+    0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
+    0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
+    0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
+    0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
+    0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
+    0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
+    0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
+    0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
+    0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
+    0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
+    0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
+    0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
+    0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
+    0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
+    0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
+    0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
+    0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
+    0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
+    0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
+    0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
+    0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
+    0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
+    0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
+    0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
+    0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
+    0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
+    0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
+    0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
+    0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
+    0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
+    0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
+    0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
+    0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
+    0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
+    0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
+    0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
+    0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
+    0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
+    0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
+    0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
+    0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
+    0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
+    0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
+    0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
+    0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
+    0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
+    0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
+    0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
+    0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
+    0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
+    0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
+    0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
+    0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
+    0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
+    0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
+    0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
+    0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
+    0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
+    0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
+    0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
+    0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
+    0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
+    0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
+    0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
+    0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
+    0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
+    0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
+    0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
+    0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
+    0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
+    0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
+    0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
+    0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
+    0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
+    0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
+    0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
+    0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
+    0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
+    0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
+    0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
+    0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
+    0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
+    0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
+    0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
+    0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
+    0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
+    0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
+    0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
+    0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
+    0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
+    0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
+    0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
+    0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
+    0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
+    0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
+    0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
+    0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
+    0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8,
+    0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e,
+    0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd,
+    0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95,
+    0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca,
+    0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c,
+    0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae,
+    0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962,
+    0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a,
+    0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58,
+    0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e,
+    0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e,
+    0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9,
+    0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3,
+    0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c,
+    0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637,
+    0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6,
+    0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b,
+    0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7,
+    0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e,
+    0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41,
+    0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2,
+    0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123,
+    0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806,
+    0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d,
+    0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba,
+    0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90,
+    0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011,
+    0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d,
+    0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219,
+    0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5,
+    0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3,
+    0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7,
+    0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282,
+    0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5,
+    0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104,
+    0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0,
+    0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c,
+    0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9,
+    0x634facda, 0x35608af1, 0x635a2733, 0x35599afa,
+    0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1,
+    0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f,
+    0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008,
+    0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d,
+    0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60,
+    0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44,
+    0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb,
+    0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487,
+    0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea,
+    0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26,
+    0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d,
+    0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533,
+    0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08,
+    0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf,
+    0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b,
+    0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd,
+    0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47,
+    0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d,
+    0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0,
+    0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112,
+    0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836,
+    0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d,
+    0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b,
+    0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61,
+    0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462,
+    0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360,
+    0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d,
+    0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b,
+    0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d,
+    0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65,
+    0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675,
+    0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590,
+    0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7,
+    0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee,
+    0x661feffa, 0x3367c090, 0x662a0727, 0x33604336,
+    0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292,
+    0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04,
+    0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f,
+    0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134,
+    0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6,
+    0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7,
+    0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db,
+    0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102,
+    0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150,
+    0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6,
+    0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67,
+    0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336,
+    0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435,
+    0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66,
+    0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc,
+    0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868,
+    0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e,
+    0x67878893, 0x32554840, 0x679169d5, 0x324d8450,
+    0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0,
+    0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130,
+    0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403,
+    0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c,
+    0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c,
+    0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27,
+    0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e,
+    0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64,
+    0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb,
+    0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7,
+    0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528,
+    0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3,
+    0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8,
+    0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c,
+    0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf,
+    0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5,
+    0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450,
+    0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433,
+    0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80,
+    0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39,
+    0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661,
+    0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb,
+    0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208,
+    0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c,
+    0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89,
+    0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302,
+    0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8,
+    0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f,
+    0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069,
+    0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9,
+    0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0,
+    0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83,
+    0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2,
+    0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151,
+    0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193,
+    0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69,
+    0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6,
+    0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de,
+    0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882,
+    0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5,
+    0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa,
+    0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433,
+    0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963,
+    0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c,
+    0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1,
+    0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5,
+    0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da,
+    0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573,
+    0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2,
+    0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca,
+    0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e,
+    0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10,
+    0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53,
+    0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a,
+    0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27,
+    0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc,
+    0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e,
+    0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d,
+    0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d,
+    0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720,
+    0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca,
+    0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c,
+    0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa,
+    0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6,
+    0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03,
+    0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03,
+    0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9,
+    0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8,
+    0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73,
+    0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c,
+    0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6,
+    0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144,
+    0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8,
+    0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545,
+    0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf,
+    0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36,
+    0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf,
+    0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c,
+    0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0,
+    0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d,
+    0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7,
+    0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80,
+    0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a,
+    0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609,
+    0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef,
+    0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef,
+    0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d,
+    0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a,
+    0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9,
+    0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d,
+    0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada,
+    0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1,
+    0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6,
+    0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb,
+    0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953,
+    0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2,
+    0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9,
+    0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc,
+    0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d,
+    0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0,
+    0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
+    0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5,
+    0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
+    0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
+    0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
+    0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
+    0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
+    0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
+    0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
+    0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
+    0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
+    0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
+    0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
+    0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
+    0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
+    0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
+    0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
+    0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
+    0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
+    0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
+    0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
+    0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
+    0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
+    0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
+    0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
+    0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
+    0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
+    0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
+    0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
+    0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
+    0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
+    0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
+    0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
+    0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
+    0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
+    0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
+    0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
+    0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
+    0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
+    0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
+    0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
+    0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
+    0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
+    0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
+    0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
+    0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
+    0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
+    0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
+    0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
+    0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
+    0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
+    0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
+    0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
+    0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
+    0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
+    0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
+    0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
+    0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
+    0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
+    0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
+    0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
+    0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
+    0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
+    0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
+    0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
+    0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
+    0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
+    0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
+    0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
+    0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
+    0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
+    0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
+    0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
+    0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
+    0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
+    0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
+    0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
+    0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
+    0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
+    0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
+    0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
+    0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
+    0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
+    0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
+    0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
+    0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
+    0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
+    0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
+    0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
+    0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
+    0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
+    0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
+    0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
+    0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
+    0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
+    0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
+    0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
+    0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
+    0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
+    0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
+    0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
+    0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
+    0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
+    0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
+    0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
+    0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
+    0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
+    0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
+    0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
+    0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
+    0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
+    0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
+    0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
+    0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
+    0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
+    0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
+    0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
+    0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
+    0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
+    0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
+    0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
+    0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
+    0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
+    0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
+    0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
+    0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
+    0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
+    0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
+    0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
+    0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
+    0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
+    0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
+    0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
+    0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
+    0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
+    0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
+    0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
+    0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
+    0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
+    0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
+    0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
+    0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
+    0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
+    0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
+    0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
+    0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
+    0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
+    0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
+    0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
+    0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
+    0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
+    0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
+    0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
+    0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
+    0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
+    0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
+    0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
+    0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
+    0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
+    0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
+    0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
+    0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
+    0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
+    0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
+    0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
+    0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
+    0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
+    0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
+    0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
+    0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
+    0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
+    0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
+    0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
+    0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
+    0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
+    0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
+    0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
+    0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
+    0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
+    0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
+    0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
+    0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
+    0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
+    0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
+    0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
+    0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
+    0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
+    0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
+    0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
+    0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
+    0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
+    0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
+    0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
+    0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
+    0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
+    0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
+    0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
+    0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
+    0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
+    0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
+    0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
+    0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
+    0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
+    0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
+    0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
+    0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
+    0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
+    0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
+    0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
+    0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
+    0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
+    0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
+    0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
+    0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
+    0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
+    0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
+    0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
+    0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
+    0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
+    0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
+    0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
+    0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
+    0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
+    0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
+    0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
+    0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
+    0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
+    0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
+    0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
+    0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
+    0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
+    0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
+    0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
+    0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
+    0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
+    0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
+    0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
+    0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
+    0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
+    0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
+    0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
+    0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
+    0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
+    0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
+    0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
+    0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
+    0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
+    0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
+    0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
+    0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
+    0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
+    0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
+    0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
+    0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
+    0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
+    0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
+    0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
+    0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
+    0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
+    0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
+    0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
+    0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
+    0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
+    0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
+    0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
+    0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
+    0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
+    0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
+    0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
+    0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
+    0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
+    0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
+    0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
+    0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
+    0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
+    0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
+    0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
+    0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
+    0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
+    0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
+    0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
+    0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
+    0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
+    0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
+    0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
+    0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
+    0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
+    0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
+    0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
+    0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
+    0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
+    0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
+    0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
+    0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
+    0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
+    0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
+    0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
+    0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
+    0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
+    0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
+    0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
+    0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
+    0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
+    0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
+    0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
+    0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
+    0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
+    0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
+    0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
+    0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
+    0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
+    0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
+    0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
+    0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
+    0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
+    0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
+    0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
+    0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
+    0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
+    0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
+    0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
+    0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
+    0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
+    0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
+    0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
+    0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
+    0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
+    0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
+    0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
+    0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
+    0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
+    0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
+    0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
+    0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
+    0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
+    0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
+    0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
+    0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
+    0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
+    0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
+    0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
+    0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
+    0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
+    0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
+    0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
+    0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
+    0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
+    0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
+    0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
+    0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
+    0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
+    0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
+    0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
+    0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
+    0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
+    0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
+    0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
+    0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
+    0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
+    0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
+    0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
+    0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
+    0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
+    0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
+    0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
+    0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
+    0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
+    0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
+    0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
+    0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
+    0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
+    0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
+    0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
+    0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
+    0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
+    0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
+    0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
+    0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
+    0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
+    0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
+    0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
+    0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
+    0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
+    0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
+    0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
+    0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
+    0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
+    0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
+    0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
+    0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
+    0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
+    0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
+    0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
+    0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
+    0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
+    0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
+    0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
+    0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
+    0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
+    0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
+    0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
+    0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
+    0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
+    0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
+    0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
+    0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
+    0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
+    0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
+    0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
+    0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
+    0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
+    0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
+    0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
+    0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
+    0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
+    0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
+    0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
+    0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
+    0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
+    0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
+    0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
+    0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
+    0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
+    0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
+    0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
+    0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
+    0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
+    0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
+    0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
+    0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
+    0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
+    0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
+    0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
+    0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
+    0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
+    0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
+    0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
+    0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
+    0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
+    0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
+    0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
+    0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
+    0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
+    0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
+    0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
+    0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
+    0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
+    0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
+    0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
+    0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
+    0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
+    0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
+    0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
+    0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
+    0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
+    0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
+    0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
+    0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
+    0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
+    0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
+    0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
+    0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
+    0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
+    0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
+    0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
+    0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
+    0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
+    0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
+    0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
+    0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
+    0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
+    0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
+    0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
+    0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
+    0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
+    0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
+    0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
+    0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
+    0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
+    0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
+    0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
+    0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
+    0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
+    0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
+    0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
+    0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
+    0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
+    0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
+    0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
+    0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
+    0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
+    0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
+    0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
+    0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
+    0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
+    0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
+    0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
+    0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
+    0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
+    0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
+    0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
+    0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
+    0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
+    0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
+    0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
+    0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
+    0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
+    0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
+    0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
+    0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
+    0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
+    0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
+    0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
+    0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
+    0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
+    0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
+    0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
+    0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
+    0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
+    0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
+    0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
+    0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
+    0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
+    0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
+    0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
+    0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
+    0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
+    0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
+    0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
+    0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
+    0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
+    0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
+    0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
+    0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
+    0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
+    0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
+    0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
+    0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
+    0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
+    0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
+    0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
+    0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
+    0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
+    0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
+    0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
+    0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
+    0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
+    0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
+    0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
+    0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
+    0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
+    0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
+    0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
+    0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
+    0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
+    0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
+    0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
+    0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
+    0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
+    0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
+    0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
+    0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
+    0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
+    0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
+    0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
+    0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
+    0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
+    0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
+    0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
+    0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
+    0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
+    0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
+    0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
+    0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
+    0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
+    0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
+    0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
+    0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
+    0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
+    0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
+    0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
+    0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
+    0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
+    0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
+    0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
+    0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
+    0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
+    0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
+    0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
+    0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
+    0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
+    0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
+    0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
+    0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
+    0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
+    0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
+    0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
+    0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
+    0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
+    0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
+    0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
+    0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
+    0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
+    0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
+    0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
+    0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
+    0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
+    0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
+    0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
+    0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
+    0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
+    0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
+    0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
+    0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
+    0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
+    0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
+    0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
+    0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
+    0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
+    0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
+    0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
+    0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
+    0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
+    0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
+    0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
+    0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
+    0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
+    0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
+    0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
+    0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
+    0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
+    0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
+    0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
+    0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
+    0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
+    0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
+    0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
+    0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
+    0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
+    0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
+    0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
+    0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
+    0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
+    0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
+    0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
+    0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
+    0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
+    0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
+    0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
+    0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
+    0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
+    0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
+    0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
+    0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
+    0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
+    0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
+    0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
+    0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
+    0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
+    0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
+    0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
+    0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
+    0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
+    0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
+    0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
+    0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
+    0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
+    0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
+    0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
+    0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
+    0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
+    0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
+    0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
+    0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
+    0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
+    0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
+    0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
+    0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
+    0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
+    0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
+    0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
+    0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
+    0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
+    0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
+    0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
+    0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
+    0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
+    0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
+    0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
+    0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
+    0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
+    0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
+    0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
+    0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
+    0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
+    0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
+    0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
+    0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
+    0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
+    0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
+    0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
+    0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
+    0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
+    0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
+    0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
+    0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
+    0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
+    0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
+    0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
+    0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
+    0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
+    0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
+    0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
+    0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
+    0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
+    0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
+    0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
+    0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
+    0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
+    0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
+    0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
+    0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
+    0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
+    0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
+    0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
+    0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
+    0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
+    0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
+    0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
+    0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
+    0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
+    0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
+    0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
+    0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
+    0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
+    0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
+    0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
+    0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
+    0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
+    0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
+    0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
+    0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
+    0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
+    0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
+    0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
+    0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
+    0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
+    0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
+    0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
+    0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
+    0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
+    0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
+    0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
+    0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
+    0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
+    0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
+    0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
+    0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
+    0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
+    0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
+    0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
+    0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
+    0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
+    0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
+    0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
+    0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
+    0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
+    0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
+    0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
+    0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
+    0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
+    0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
+    0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
+    0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
+    0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
+    0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
+    0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
+    0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
+    0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
+    0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
+    0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
+    0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
+    0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
+    0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
+    0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
+    0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
+    0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
+    0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
+    0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
+    0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
+    0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
+    0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
+    0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
+    0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
+    0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
+    0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
+    0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
+    0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
+    0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
+    0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
+    0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
+    0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
+    0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
+    0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
+    0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
+    0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
+    0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
+    0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
+    0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
+    0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
+    0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
+    0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
+    0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
+    0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
+    0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
+    0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
+    0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
+    0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
+    0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
+    0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
+    0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
+    0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
+    0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
+    0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
+    0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
+    0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
+    0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
+    0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
+    0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
+    0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
+    0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
+    0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
+    0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
+    0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
+    0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
+    0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
+    0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
+    0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
+    0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
+    0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
+    0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
+    0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
+    0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
+    0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
+    0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
+    0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
+    0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
+    0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
+    0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
+    0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
+    0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
+    0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
+    0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
+    0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
+    0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
+    0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
+    0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
+    0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
+    0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
+    0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
+    0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
+    0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
+    0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
+    0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
+    0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
+    0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
+    0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
+    0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
+    0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
+    0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
+    0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
+    0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
+    0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
+    0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
+    0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
+    0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
+    0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
+    0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
+    0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
+    0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
+    0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
+    0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
+    0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
+    0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
+    0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
+    0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
+    0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
+    0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
+    0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
+    0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
+    0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
+    0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
+    0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
+    0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
+    0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
+    0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
+    0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
+    0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
+    0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
+    0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
+    0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
+    0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
+    0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
+    0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
+    0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
+    0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
+    0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
+    0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
+    0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
+    0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
+    0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
+    0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
+    0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
+    0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
+    0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
+    0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
+    0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
+    0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
+    0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
+    0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
+    0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
+    0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
+    0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
+    0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
+    0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
+    0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
+    0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
+    0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
+    0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
+    0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
+    0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
+    0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
+    0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
+    0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
+    0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
+    0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
+    0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
+    0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
+    0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
+    0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
+    0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
+    0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
+    0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
+    0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
+    0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
+    0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
+    0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
+    0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
+    0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
+    0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
+    0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
+    0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
+    0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
+    0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
+    0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
+    0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
+    0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
+    0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
+    0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
+    0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
+    0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
+    0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
+    0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
+    0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
+    0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
+    0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
+    0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
+    0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
+    0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
+    0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
+    0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
+    0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
+    0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
+    0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
+    0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
+    0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
+    0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
+    0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
+    0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
+    0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
+    0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
+    0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
+    0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
+    0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
+    0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
+    0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
+    0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
+    0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
+    0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
+    0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
+    0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
+    0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
+    0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
+    0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
+    0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
+    0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
+    0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
+    0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
+    0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
+    0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
+    0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
+    0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
+    0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
+    0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
+    0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
+    0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
+    0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
+    0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
+    0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
+    0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
+    0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
+    0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
+    0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
+    0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
+    0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
+    0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
+    0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
+    0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
+    0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
+    0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
+    0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
+    0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
+    0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
+    0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
+    0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
+    0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
+    0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
+    0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
+    0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
+    0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
+    0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
+    0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
+    0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
+    0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
+    0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
+    0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
+    0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
+    0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
+    0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
+    0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
+    0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
+    0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
+    0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
+    0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
+    0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
+    0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
+    0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
+    0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
+    0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
+    0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
+    0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
+    0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
+    0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
+    0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
+    0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
+    0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
+    0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
+    0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
+    0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
+    0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
+    0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
+    0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
+    0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
+    0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
+    0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
+    0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
+    0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
+    0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
+    0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
+    0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
+    0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
+    0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
+    0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
+    0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
+    0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
+    0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
+    0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
+    0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
+    0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
+    0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
+    0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
+    0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
+    0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
+    0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
+    0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
+    0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
+    0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
+    0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
+    0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
+    0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
+    0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
+    0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
+    0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
+    0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
+    0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
+    0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
+    0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
+    0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
+    0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
+    0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
+    0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
+    0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
+    0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
+    0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
+    0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
+    0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
+    0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
+    0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
+    0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
+    0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
+    0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
+    0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
+    0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
+    0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
+    0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
+    0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
+    0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
+    0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
+    0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
+    0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
+    0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
+    0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
+    0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
+    0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
+    0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
+    0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
+    0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
+    0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
+    0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
+    0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
+    0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
+    0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
+    0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
+    0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
+    0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
+    0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
+    0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
+    0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
+    0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
+    0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
+    0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
+    0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
+    0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
+    0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
+    0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
+    0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
+    0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
+    0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
+    0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
+    0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
+    0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
+    0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
+    0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
+    0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
+    0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
+    0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
+    0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
+    0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
+    0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
+    0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
+    0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
+    0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
+    0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
+    0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
+    0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
+    0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
+    0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
+    0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
+    0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
+    0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
+    0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
+    0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
+    0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
+    0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
+    0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
+    0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
+    0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
+    0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
+    0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
+    0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
+    0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
+    0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
+    0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
+    0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
+    0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
+    0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
+    0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
+    0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
+    0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
+    0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
+    0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
+    0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
+    0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
+    0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
+    0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
+    0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
+    0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
+    0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
+    0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
+    0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
+    0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
+    0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
+    0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
+    0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
+    0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
+    0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
+    0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
+    0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
+    0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
+    0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
+    0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
+    0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
+    0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
+    0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
+    0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
+    0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
+    0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
+    0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
+    0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
+    0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
+    0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
+    0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
+    0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
+    0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
+    0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
+    0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
+    0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
+    0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
+    0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
+    0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
+    0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
+    0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
+    0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
+    0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
+    0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
+    0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
+    0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
+    0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
+    0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
+    0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
+    0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
+    0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
+    0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
+    0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
+    0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
+    0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
+    0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
+    0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
+    0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
+    0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
+    0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
+    0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
+    0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
+    0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
+    0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
+    0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
+    0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
+    0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
+    0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
+    0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
+    0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
+    0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
+    0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
+    0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
+    0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
+    0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
+    0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
+    0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
+    0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
+    0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
+    0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
+    0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
+    0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
+    0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
+    0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
+    0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
+    0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
+    0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
+    0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
+    0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
+    0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
+    0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
+    0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
+    0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
+    0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
+    0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
+    0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
+    0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
+    0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
+    0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
+    0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
+    0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
+    0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
+    0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
+    0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
+    0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
+    0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
+    0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
+    0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
+    0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
+    0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
+    0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
+    0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
+    0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
+    0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
+    0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
+    0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
+    0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
+    0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
+    0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
+    0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
+    0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
+    0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
+    0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
+    0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
+    0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
+    0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
+    0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
+    0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
+    0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
+    0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
+    0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
+    0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
+    0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
+    0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
+    0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
+    0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
+    0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
+    0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
+    0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
+    0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
+    0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
+    0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
+    0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
+    0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
+    0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
+    0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
+    0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
+    0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
+    0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
+    0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
+    0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
+    0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
+    0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
+    0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
+    0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
+    0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
+    0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
+    0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
+    0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
+    0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
+    0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
+    0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
+    0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
+    0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
+    0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
+    0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
+    0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
+    0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
+    0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
+    0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
+    0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
+    0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
+    0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
+    0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
+    0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
+    0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
+    0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
+    0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
+    0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
+    0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
+    0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
+    0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
+    0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
+    0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
+    0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
+    0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
+    0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
+    0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
+    0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
+    0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
+    0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
+    0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
+    0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
+    0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
+    0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
+    0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
+    0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
+    0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
+    0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
+    0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
+    0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
+    0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
+    0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
+    0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
+    0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
+    0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
+    0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
+    0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
+    0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
+    0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
+    0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
+    0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
+    0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
+    0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
+    0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
+    0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
+    0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
+    0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
+    0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
+    0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
+    0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
+    0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
+    0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
+    0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
+    0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
+    0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
+    0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
+    0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
+    0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
+    0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
+    0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
+    0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
+    0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
+    0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
+    0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
+    0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
+    0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
+    0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
+    0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
+    0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
+    0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
+    0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
+    0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
+    0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
+    0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
+    0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
+    0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
+    0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
+    0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
+    0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
+    0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
+    0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
+    0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
+    0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
+    0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
+    0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
+    0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
+    0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
+    0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
+    0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
+    0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
+    0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
+    0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
+    0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
+    0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
+    0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
+    0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
+    0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
+    0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
+    0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
+    0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
+    0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
+    0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
+    0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
+    0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
+    0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
+    0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
+    0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
+    0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
+    0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
+    0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
+    0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
+    0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
+    0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
+    0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
+    0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
+    0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
+    0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
+    0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
+    0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
+    0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
+    0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
+    0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
+    0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
+    0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
+    0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
+    0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
+    0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
+    0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
+    0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
+    0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
+    0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
+    0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
+    0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
+    0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
+    0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
+    0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
+    0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
+    0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
+    0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
+    0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
+    0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
+    0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
+    0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
+    0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
+    0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
+    0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
+    0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
+    0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
+    0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
+    0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
+    0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
+};
+
+/**    
+* @brief  Initialization function for the Q31 RFFT/RIFFT.   
+* @param[in, out] *S             points to an instance of the Q31 RFFT/RIFFT structure.   
+* @param[in]      fftLenReal     length of the FFT.   
+* @param[in]      ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
+* @param[in]      bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
+* @return		The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.   
+*    
+* \par Description:   
+* \par   
+* The parameter <code>fftLenReal</code>	Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.    
+* \par    
+* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
+* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
+* \par    
+* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
+* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
+* \par    7
+* This function also initializes Twiddle factor table.    
+*/
+
+arm_status arm_rfft_init_q31(
+    arm_rfft_instance_q31 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
+{
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
+
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
+
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q31_t *) realCoefAQ31;
+
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q31_t *) realCoefBQ31;
+
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
+
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+    case 8192u:
+        S->twidCoefRModifier = 1u;
+        S->pCfft = &arm_cfft_sR_q31_len4096;
+        break;
+    case 4096u:
+        S->twidCoefRModifier = 2u;
+        S->pCfft = &arm_cfft_sR_q31_len2048;
+        break;
+    case 2048u:
+        S->twidCoefRModifier = 4u;
+        S->pCfft = &arm_cfft_sR_q31_len1024;
+        break;
+    case 1024u:
+        S->twidCoefRModifier = 8u;
+        S->pCfft = &arm_cfft_sR_q31_len512;
+        break;
+    case 512u:
+        S->twidCoefRModifier = 16u;
+        S->pCfft = &arm_cfft_sR_q31_len256;
+        break;
+    case 256u:
+        S->twidCoefRModifier = 32u;
+        S->pCfft = &arm_cfft_sR_q31_len128;
+        break;
+    case 128u:
+        S->twidCoefRModifier = 64u;
+        S->pCfft = &arm_cfft_sR_q31_len64;
+        break;
+    case 64u:
+        S->twidCoefRModifier = 128u;
+        S->pCfft = &arm_cfft_sR_q31_len32;
+        break;
+    case 32u:
+        S->twidCoefRModifier = 256u;
+        S->pCfft = &arm_cfft_sR_q31_len16;
+        break;
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
+
+    /* return the status of RFFT Init function */
+    return (status);
+}
+
+/**    
+* @} end of RealFFT group    
+*/
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
new file mode 100644
index 0000000..6e76b9c
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_q15.c
@@ -0,0 +1,439 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_q15.c    
+*    
+* Description:	RFFT & RIFFT Q15 process function    
+*    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.     
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------    
+*		Internal functions prototypes    
+--------------------------------------------------------------------*/
+
+void arm_split_rfft_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier);
+
+void arm_split_rifft_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier);
+
+/**    
+* @addtogroup RealFFT    
+* @{    
+*/
+
+/**    
+* @brief Processing function for the Q15 RFFT/RIFFT.   
+* @param[in]  *S    points to an instance of the Q15 RFFT/RIFFT structure.   
+* @param[in]  *pSrc points to the input buffer.   
+* @param[out] *pDst points to the output buffer.   
+* @return none.   
+*    
+* \par Input an output formats:   
+* \par    
+* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.    
+* Hence the output format is different for different RFFT sizes.    
+* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
+* \par    
+* \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"    
+* \par    
+* \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"    
+*/
+
+void arm_rfft_q15(
+    const arm_rfft_instance_q15 * S,
+    q15_t * pSrc,
+    q15_t * pDst)
+{
+    const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
+    uint32_t i;
+    uint32_t L2 = S->fftLenReal >> 1;
+
+    /* Calculation of RIFFT of input */
+    if(S->ifftFlagR == 1u)
+    {
+        /*  Real IFFT core process */
+        arm_split_rifft_q15(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+        
+        /* Complex IFFT process */
+        arm_cfft_q15(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+        
+        for(i=0;i<S->fftLenReal;i++)
+        {
+            pDst[i] = pDst[i] << 1;
+        }
+    }
+    else
+    {
+        /* Calculation of RFFT of input */
+        
+        /* Complex FFT process */
+        arm_cfft_q15(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+        /*  Real FFT core process */
+        arm_split_rfft_q15(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+    }
+}
+
+/**    
+* @} end of RealFFT group    
+*/
+
+/**    
+* @brief  Core Real FFT process    
+* @param  *pSrc 				points to the input buffer.   
+* @param  fftLen  				length of FFT.   
+* @param  *pATable 			points to the A twiddle Coef buffer.    
+* @param  *pBTable 			points to the B twiddle Coef buffer.   
+* @param  *pDst 				points to the output buffer.   
+* @param  modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+* The function implements a Real FFT    
+*/
+
+void arm_split_rfft_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier)
+{
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q15_t *pSrc1, *pSrc2;
+#ifndef ARM_MATH_CM0_FAMILY
+    q15_t *pD1, *pD2;
+#endif
+
+    //  pSrc[2u * fftLen] = pSrc[0]; 
+    //  pSrc[(2u * fftLen) + 1u] = pSrc[1]; 
+
+    pCoefA = &pATable[modifier * 2u];
+    pCoefB = &pBTable[modifier * 2u];
+
+    pSrc1 = &pSrc[2];
+    pSrc2 = &pSrc[(2u * fftLen) - 2u];
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    i = 1u;
+    pD1 = pDst + 2;
+    pD2 = pDst + (4u * fftLen) - 2;
+
+    for(i = fftLen - 1; i > 0; i--)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
+
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
+
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+        outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
+
+#else
+
+        /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
+        outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+        outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 16u;
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
+
+#else
+
+        outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
+        outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
+
+        /* write output */
+        *pD1++ = (q15_t) outR;
+        *pD1++ = outI >> 16u;
+
+        /* write complex conjugate output */
+        pD2[0] = (q15_t) outR;
+        pD2[1] = -(outI >> 16u);
+        pD2 -= 2;
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
+    }
+
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
+
+#else
+
+    /* Run the below code for Cortex-M0 */
+    i = 1u;
+
+    while(i < fftLen)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
+
+        outR = *pSrc1 * *pCoefA;
+        outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
+        outR = outR + (*pSrc2 * *pCoefB);
+        outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
+
+
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
+
+        outI = *pSrc2 * *(pCoefB + 1);
+        outI = outI - (*(pSrc2 + 1) * *pCoefB);
+        outI = outI + (*(pSrc1 + 1) * *pCoefA);
+        outI = outI + (*pSrc1 * *(pCoefA + 1));
+
+        /* update input pointers */
+        pSrc1 += 2u;
+        pSrc2 -= 2u;
+
+        /* write output */
+        pDst[2u * i] = (q15_t) outR;
+        pDst[(2u * i) + 1u] = outI >> 16u;
+
+        /* write complex conjugate output */
+        pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
+        pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 16u);
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
+
+        i++;
+    }
+
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+}
+
+
+/**    
+* @brief  Core Real IFFT process    
+* @param[in]   *pSrc 				points to the input buffer.    
+* @param[in]   fftLen  		    length of FFT.   
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.   
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+* The function implements a Real IFFT    
+*/
+void arm_split_rifft_q15(
+    q15_t * pSrc,
+    uint32_t fftLen,
+    q15_t * pATable,
+    q15_t * pBTable,
+    q15_t * pDst,
+    uint32_t modifier)
+{
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q15_t *pSrc1, *pSrc2;
+    q15_t *pDst1 = &pDst[0];
+
+    pCoefA = &pATable[0];
+    pCoefB = &pBTable[0];
+
+    pSrc1 = &pSrc[0];
+    pSrc2 = &pSrc[2u * fftLen];
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+    /* Run the below code for Cortex-M4 and Cortex-M3 */
+    i = fftLen;
+
+    while(i > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);    
+        */
+
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+        outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
+
+#else
+
+        /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +  
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
+        outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] */
+        outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 16u;
+
+        /*    
+        -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
+
+        /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
+
+#else
+
+        outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+        /* write output */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+        *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 16u), 16);
+
+#else
+
+        *__SIMD32(pDst1)++ = __PKHBT((outI >> 16u), outR, 16);
+
+#endif /*      #ifndef ARM_MATH_BIG_ENDIAN     */
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
+
+        i--;
+    }
+#else
+    /* Run the below code for Cortex-M0 */
+    i = fftLen;
+
+    while(i > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
+
+        outR = *pSrc2 * *pCoefB;
+        outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
+        outR = outR + (*pSrc1 * *pCoefA);
+        outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
+
+        /*   
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -   
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -   
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
+
+        outI = *(pSrc1 + 1) * *pCoefA;
+        outI = outI - (*pSrc1 * *(pCoefA + 1));
+        outI = outI - (*pSrc2 * *(pCoefB + 1));
+        outI = outI - (*(pSrc2 + 1) * *(pCoefB));
+
+        /* update input pointers */
+        pSrc1 += 2u;
+        pSrc2 -= 2u;
+
+        /* write output */
+        *pDst1++ = (q15_t) outR;
+        *pDst1++ = (q15_t) (outI >> 16);
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2u * modifier);
+        pCoefA = pCoefA + (2u * modifier);
+
+        i--;
+    }
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+}
diff --git a/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c b/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
new file mode 100644
index 0000000..71bba21
--- /dev/null
+++ b/DSP_Lib/Source/TransformFunctions/arm_rfft_q31.c
@@ -0,0 +1,296 @@
+/* ----------------------------------------------------------------------    
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
+*    
+* $Date:        19. March 2015 
+* $Revision: 	V.1.4.5  
+*    
+* Project: 	    CMSIS DSP Library    
+* Title:	    arm_rfft_q31.c    
+*    
+* Description:	RFFT & RIFFT Q31 process function    
+*    
+*    
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.    
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------    
+*		Internal functions prototypes    
+--------------------------------------------------------------------*/
+
+void arm_split_rfft_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier);
+
+void arm_split_rifft_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier);
+
+/**    
+* @addtogroup RealFFT    
+* @{    
+*/
+
+/**    
+* @brief Processing function for the Q31 RFFT/RIFFT.   
+* @param[in]  *S    points to an instance of the Q31 RFFT/RIFFT structure.   
+* @param[in]  *pSrc points to the input buffer.   
+* @param[out] *pDst points to the output buffer.   
+* @return none.   
+*    
+* \par Input an output formats:   
+* \par    
+* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.   
+* Hence the output format is different for different RFFT sizes.    
+* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:   
+* \par    
+* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"    
+*    
+* \par    
+* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"    
+*/
+void arm_rfft_q31(
+    const arm_rfft_instance_q31 * S,
+    q31_t * pSrc,
+    q31_t * pDst)
+{
+    const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
+    uint32_t i;
+    uint32_t L2 = S->fftLenReal >> 1;
+
+    /* Calculation of RIFFT of input */
+    if(S->ifftFlagR == 1u)
+    {
+        /*  Real IFFT core process */
+        arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+        
+        /* Complex IFFT process */
+        arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+        
+        for(i=0;i<S->fftLenReal;i++)
+        {
+            pDst[i] = pDst[i] << 1;
+        }
+    }
+    else
+    {
+        /* Calculation of RFFT of input */
+        
+        /* Complex FFT process */
+        arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+        /*  Real FFT core process */
+        arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal,
+                            S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+    }
+}
+
+/**    
+* @} end of RealFFT group    
+*/
+
+/**    
+* @brief  Core Real FFT process    
+* @param[in]   *pSrc 				points to the input buffer.    
+* @param[in]   fftLen  			    length of FFT.   
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.    
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.    
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+*/
+void arm_split_rfft_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier)
+{
+    uint32_t i;                                    /* Loop Counter */
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+    q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
+    q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
+
+    /* Init coefficient pointers */
+    pCoefA = &pATable[modifier * 2u];
+    pCoefB = &pBTable[modifier * 2u];
+
+    i = fftLen - 1u;
+
+    while(i > 0u)
+    {
+        /*    
+        outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]    
+        + pSrc[2 * n - 2 * i] * pBTable[2 * i] +    
+        pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+        */
+
+        /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
+
+        CoefA1 = *pCoefA++;
+        CoefA2 = *pCoefA;
+
+        /* outR = (pSrc[2 * i] * pATable[2 * i] */    
+        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
+
+        /* outI = pIn[2 * i] * pATable[2 * i + 1] */
+        mult_32x32_keep32_R(outI, *pIn1++, CoefA2);
+
+        /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+        multSub_32x32_keep32_R(outR, *pIn1, CoefA2);
+
+        /* (pIn[2 * i + 1] * pATable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
+
+        /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
+        multSub_32x32_keep32_R(outR, *pIn2, CoefA2);
+        CoefB1 = *pCoefB;
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
+
+        /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
+
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefA2);
+
+        /* write output */
+        *pOut1++ = outR;
+        *pOut1++ = outI;
+
+        /* write complex conjugate output */
+        *pOut2-- = -outI;
+        *pOut2-- = outR;
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (modifier * 2u);
+        pCoefA = pCoefA + ((modifier * 2u) - 1u);
+
+        i--;
+    }
+    pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[(2u * fftLen) + 1u] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
+}
+
+/**    
+* @brief  Core Real IFFT process    
+* @param[in]   *pSrc 				points to the input buffer.   
+* @param[in]   fftLen  			    length of FFT.    
+* @param[in]   *pATable 			points to the twiddle Coef A buffer.   
+* @param[in]   *pBTable 			points to the twiddle Coef B buffer.    
+* @param[out]  *pDst 				points to the output buffer.   
+* @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.   
+* @return none.    
+*/
+void arm_split_rifft_q31(
+    q31_t * pSrc,
+    uint32_t fftLen,
+    q31_t * pATable,
+    q31_t * pBTable,
+    q31_t * pDst,
+    uint32_t modifier)
+{
+    q31_t outR, outI;                              /* Temporary variables for output */
+    q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+    q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+    q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
+
+    pCoefA = &pATable[0];
+    pCoefB = &pBTable[0];
+
+    while(fftLen > 0u)
+    {
+        /*    
+        outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +    
+        pIn[2 * n - 2 * i] * pBTable[2 * i] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);    
+
+        outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -    
+        pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -    
+        pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);   
+        */
+        CoefA1 = *pCoefA++;
+        CoefA2 = *pCoefA;
+
+        /* outR = (pIn[2 * i] * pATable[2 * i] */
+        mult_32x32_keep32_R(outR, *pIn1, CoefA1);
+
+        /* - pIn[2 * i] * pATable[2 * i + 1] */
+        mult_32x32_keep32_R(outI, *pIn1++, -CoefA2);
+        
+        /* pIn[2 * i + 1] * pATable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn1, CoefA2);
+
+        /* pIn[2 * i + 1] * pATable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefA2);
+        CoefB1 = *pCoefB;
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+        multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
+
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+        multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
+
+        /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+        multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2);
+
+        /* write output */
+        *pDst++ = outR;
+        *pDst++ = outI;
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (modifier * 2u);
+        pCoefA = pCoefA + ((modifier * 2u) - 1u);
+
+        /* Decrement loop count */
+        fftLen--;
+    }
+}
diff --git a/DSP_Lib/license.txt b/DSP_Lib/license.txt
new file mode 100644
index 0000000..8c9c1b3
--- /dev/null
+++ b/DSP_Lib/license.txt
@@ -0,0 +1,28 @@
+All files contained in the folders "CMSIS\DSP-Lib\Source" and "CMSIS\DSP-Lib\Examples"
+are guided by the following license:
+
+Copyright (C) 2009-2015 ARM Limited. 
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ - Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+ - Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+ - Neither the name of ARM nor the names of its contributors may be used 
+   to endorse or promote products derived from this software without 
+   specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 
+CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 
+ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.
diff --git a/Documentation/Core/html/CMSIS_CORE_Files.png b/Documentation/Core/html/CMSIS_CORE_Files.png
new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/CMSIS_CORE_Files.png
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new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/CMSIS_CORE_Files_user.png
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diff --git a/Documentation/Core/html/CMSIS_Logo_Final.png b/Documentation/Core/html/CMSIS_Logo_Final.png
new file mode 100644
index 0000000..2056b7e
--- /dev/null
+++ b/Documentation/Core/html/CMSIS_Logo_Final.png
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diff --git a/Documentation/Core/html/_c_o_r_e__m_i_s_r_a__exceptions_pg.html b/Documentation/Core/html/_c_o_r_e__m_i_s_r_a__exceptions_pg.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/_c_o_r_e__m_i_s_r_a__exceptions_pg.html
@@ -0,0 +1,167 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>MISRA-C:2004 Compliance Exceptions</title>
+<title>CMSIS-CORE: MISRA-C:2004 Compliance Exceptions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<div class="title">MISRA-C:2004 Compliance Exceptions </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>CMSIS-CORE uses the common coding rules for CMSIS components that are documented under <a href="../../General/html/index.html"><b>Introduction</b></a>.</p>
+<p>CMSIS-CORE violates the following MISRA-C:2004 rules:</p>
+<ul>
+<li>Required Rule 8.5, object/function definition in header file.<br/>
+ Violated since function definitions in header files are used for function inlining'.</li>
+</ul>
+<ul>
+<li>Advisory Rule 12.4, Side effects on right hand side of logical operator.<br/>
+ Violated because volatile is used for core register definitions.</li>
+</ul>
+<ul>
+<li>Advisory Rule 14.7, Return statement before end of function.<br/>
+ Violated to simplify code logic.</li>
+</ul>
+<ul>
+<li>Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br/>
+ Violated since unions are used for effective representation of core registers.</li>
+</ul>
+<ul>
+<li>Advisory Rule 19.4, Disallowed definition for macro.<br/>
+ Violated since macros are used for assembler keywords.</li>
+</ul>
+<ul>
+<li>Advisory Rule 19.7, Function-like macro defined.<br/>
+ Violated since function-like macros are used to generate more efficient code.</li>
+</ul>
+<ul>
+<li>Advisory Rule 19.16, all preprocessing directives must be valid.<br/>
+ Violated to set default settings for macros.</li>
+</ul>
+<p>&lt;device&gt;.h files generated by <b>SVDConv.exe</b> violate the following MISRA-C:2004 rules:</p>
+<ul>
+<li>Advisory Rule 20.2, Re-use of C90 identifier pattern.<br/>
+ Violated since CMSIS macros begin with '__'. Since CMSIS is developed and verified with various compilers this approach is acceptable and avoids conflicts with user symbols.</li>
+</ul>
+<ul>
+<li>Advisory Rule 19.1, Declaration before #include.<br/>
+ Violated since Interrupt Number Definition Type (IRQn_Type) must be defined before including the core header file. </li>
+</ul>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
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+</html>
diff --git a/Documentation/Core/html/_reg_map_pg.html b/Documentation/Core/html/_reg_map_pg.html
new file mode 100644
index 0000000..64d9ec3
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+++ b/Documentation/Core/html/_reg_map_pg.html
@@ -0,0 +1,303 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Register Mapping</title>
+<title>CMSIS-CORE: Register Mapping</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
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+<!-- end header part -->
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+  <div class="headertitle">
+<div class="title">Register Mapping </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The table below associates some common register names used in CMSIS to the register names used in Technical Reference Manuals.</p>
+<table  class="cmtable" summary="Register Mapping">
+<tr>
+<th>CMSIS Register Name </th><th>Cortex-M3, Cortex-M4, and Cortex-M7 </th><th>Cortex-M0 and Cortex-M0+ </th><th>Register Name  </th></tr>
+<tr>
+<th colspan="4">Nested Vectored Interrupt Controller (NVIC) Register Access  </th></tr>
+<tr>
+<td>NVIC-&gt;ISER[] </td><td>NVIC_ISER0..7 </td><td>ISER </td><td>Interrupt Set-Enable Registers  </td></tr>
+<tr>
+<td>NVIC-&gt;ICER[] </td><td>NVIC_ICER0..7 </td><td>ICER </td><td>Interrupt Clear-Enable Registers  </td></tr>
+<tr>
+<td>NVIC-&gt;ISPR[] </td><td>NVIC_ISPR0..7 </td><td>ISPR </td><td>Interrupt Set-Pending Registers  </td></tr>
+<tr>
+<td>NVIC-&gt;ICPR[] </td><td>NVIC_ICPR0..7 </td><td>ICPR </td><td>Interrupt Clear-Pending Registers  </td></tr>
+<tr>
+<td>NVIC-&gt;IABR[] </td><td>NVIC_IABR0..7 </td><td>- </td><td>Interrupt Active Bit Register  </td></tr>
+<tr>
+<td>NVIC-&gt;IP[] </td><td>NVIC_IPR0..59 </td><td>IPR0..7 </td><td>Interrupt Priority Register  </td></tr>
+<tr>
+<td>NVIC-&gt;STIR </td><td>STIR </td><td>- </td><td>Software Triggered Interrupt Register  </td></tr>
+<tr>
+<th colspan="4">System Control Block (SCB) Register Access  </th></tr>
+<tr>
+<td>SCB-&gt;CPUID </td><td>CPUID </td><td>CPUID </td><td>CPUID Base Register  </td></tr>
+<tr>
+<td>SCB-&gt;ICSR </td><td>ICSR </td><td>ICSR </td><td>Interrupt Control and State Register  </td></tr>
+<tr>
+<td>SCB-&gt;VTOR </td><td>VTOR </td><td>- </td><td>Vector Table Offset Register  </td></tr>
+<tr>
+<td>SCB-&gt;AIRCR </td><td>AIRCR </td><td>AIRCR </td><td>Application Interrupt and Reset Control Register  </td></tr>
+<tr>
+<td>SCB-&gt;SCR </td><td>SCR </td><td>SCR </td><td>System Control Register  </td></tr>
+<tr>
+<td>SCB-&gt;CCR </td><td>CCR </td><td>CCR </td><td>Configuration and Control Register  </td></tr>
+<tr>
+<td>SCB-&gt;SHP[] </td><td>SHPR1..3 </td><td>SHPR2..3 </td><td>System Handler Priority Registers  </td></tr>
+<tr>
+<td>SCB-&gt;SHCSR </td><td>SHCSR </td><td>SHCSR </td><td>System Handler Control and State Register  </td></tr>
+<tr>
+<td>SCB-&gt;CFSR </td><td>CFSR </td><td>- </td><td>Configurable Fault Status Registers  </td></tr>
+<tr>
+<td>SCB-&gt;HFSR </td><td>HFSR </td><td>- </td><td>HardFault Status Register  </td></tr>
+<tr>
+<td>SCB-&gt;DFSR </td><td>DFSR </td><td>- </td><td>Debug Fault Status Register  </td></tr>
+<tr>
+<td>SCB-&gt;MMFAR </td><td>MMFAR </td><td>- </td><td>MemManage Fault Address Register  </td></tr>
+<tr>
+<td>SCB-&gt;BFAR </td><td>BFAR </td><td>- </td><td>BusFault Address Register  </td></tr>
+<tr>
+<td>SCB-&gt;AFSR </td><td>AFSR </td><td>- </td><td>Auxiliary Fault Status Register  </td></tr>
+<tr>
+<td>SCB-&gt;PFR[] </td><td>ID_PFR0..1 </td><td>- </td><td>Processor Feature Registers  </td></tr>
+<tr>
+<td>SCB-&gt;DFR </td><td>ID_DFR0 </td><td>- </td><td>Debug Feature Register  </td></tr>
+<tr>
+<td>SCB-&gt;ADR </td><td>ID_AFR0 </td><td>- </td><td>Auxiliary Feature Register  </td></tr>
+<tr>
+<td>SCB-&gt;MMFR[] </td><td>ID_MMFR0..3 </td><td>- </td><td>Memory Model Feature Registers  </td></tr>
+<tr>
+<td>SCB-&gt;ISAR[] </td><td>ID_ISAR0..4 </td><td>- </td><td>Instruction Set Attributes Registers  </td></tr>
+<tr>
+<td>SCB-&gt;CPACR </td><td>CPACR </td><td>- </td><td>Coprocessor Access Control Register  </td></tr>
+<tr>
+<th colspan="4">System Control and ID Registers not in the SCB (SCnSCB) Register Access  </th></tr>
+<tr>
+<td>SCnSCB-&gt;ICTR </td><td>ICTR </td><td>- </td><td>Interrupt Controller Type Register  </td></tr>
+<tr>
+<td>SCnSCB-&gt;ACTLR </td><td>ACTLR </td><td>- </td><td>Auxiliary Control Register  </td></tr>
+<tr>
+<th colspan="4">System Timer (SysTick) Control and Status Register Access  </th></tr>
+<tr>
+<td>SysTick-&gt;CTRL </td><td>STCSR </td><td>SYST_CSR </td><td>SysTick Control and Status Register  </td></tr>
+<tr>
+<td>SysTick-&gt;LOAD </td><td>STRVR </td><td>SYST_RVR </td><td>SysTick Reload Value Register  </td></tr>
+<tr>
+<td>SysTick-&gt;VAL </td><td>STCVR </td><td>SYST_CVR </td><td>SysTick Current Value Register  </td></tr>
+<tr>
+<td>SysTick-&gt;CALIB </td><td>STCR </td><td>SYST_CALIB </td><td>SysTick Calibaration Value Register  </td></tr>
+<tr>
+<th colspan="4">Data Watchpoint and Trace (DWT) Register Access  </th></tr>
+<tr>
+<td>DWT-&gt;CTRL </td><td>DWT_CTRL </td><td>- </td><td>Control Register  </td></tr>
+<tr>
+<td>DWT-&gt;CYCCNT </td><td>DWT_CYCCNT </td><td>- </td><td>Cycle Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;CPICNT </td><td>DWT_CPICNT </td><td>- </td><td>CPI Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;EXCCNT </td><td>DWT_EXCCNT </td><td>- </td><td>Exception Overhead Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;SLEEPCNT </td><td>DWT_SLEEPCNT </td><td>- </td><td>Sleep Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;LSUCNT </td><td>DWT_LSUCNT </td><td>- </td><td>LSU Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;FOLDCNT </td><td>DWT_FOLDCNT </td><td>- </td><td>Folded-instruction Count Register  </td></tr>
+<tr>
+<td>DWT-&gt;PCSR </td><td>DWT_PCSR </td><td>- </td><td>Program Counter Sample Register  </td></tr>
+<tr>
+<td>DWT-&gt;COMP0..3 </td><td>DWT_COMP0..3 </td><td>- </td><td>Comparator Register 0..3  </td></tr>
+<tr>
+<td>DWT-&gt;MASK0..3 </td><td>DWT_MASK0..3 </td><td>- </td><td>Mask Register 0..3  </td></tr>
+<tr>
+<td>DWT-&gt;FUNCTION0..3 </td><td>DWT_FUNCTION0..3 </td><td>- </td><td>Function Register 0..3  </td></tr>
+<tr>
+<th colspan="4">Instrumentation Trace Macrocell (ITM) Register Access  </th></tr>
+<tr>
+<td>ITM-&gt;PORT[] </td><td>ITM_STIM0..31 </td><td>- </td><td>Stimulus Port Registers  </td></tr>
+<tr>
+<td>ITM-&gt;TER </td><td>ITM_TER </td><td>- </td><td>Trace Enable Register  </td></tr>
+<tr>
+<td>ITM-&gt;TPR </td><td>ITM_TPR </td><td>- </td><td>ITM Trace Privilege Register  </td></tr>
+<tr>
+<td>ITM-&gt;TCR </td><td>ITM_TCR </td><td>- </td><td>Trace Control Register  </td></tr>
+<tr>
+<th colspan="4">Trace Port Interface (TPIU) Register Access  </th></tr>
+<tr>
+<td>TPI-&gt;SSPSR </td><td>TPIU_SSPR </td><td>- </td><td>Supported Parallel Port Size Register  </td></tr>
+<tr>
+<td>TPI-&gt;CSPSR </td><td>TPIU_CSPSR </td><td>- </td><td>Current Parallel Port Size Register  </td></tr>
+<tr>
+<td>TPI-&gt;ACPR </td><td>TPIU_ACPR </td><td>- </td><td>Asynchronous Clock Prescaler Register  </td></tr>
+<tr>
+<td>TPI-&gt;SPPR </td><td>TPIU_SPPR </td><td>- </td><td>Selected Pin Protocol Register  </td></tr>
+<tr>
+<td>TPI-&gt;FFSR </td><td>TPIU_FFSR </td><td>- </td><td>Formatter and Flush Status Register  </td></tr>
+<tr>
+<td>TPI-&gt;FFCR </td><td>TPIU_FFCR </td><td>- </td><td>Formatter and Flush Control Register  </td></tr>
+<tr>
+<td>TPI-&gt;FSCR </td><td>TPIU_FSCR </td><td>- </td><td>Formatter Synchronization Counter Register  </td></tr>
+<tr>
+<td>TPI-&gt;TRIGGER </td><td>TRIGGER </td><td>- </td><td>TRIGGER  </td></tr>
+<tr>
+<td>TPI-&gt;FIFO0 </td><td>FIFO data 0 </td><td>- </td><td>Integration ETM Data  </td></tr>
+<tr>
+<td>TPI-&gt;ITATBCTR2 </td><td>ITATBCTR2 </td><td>- </td><td>ITATBCTR2  </td></tr>
+<tr>
+<td>TPI-&gt;ITATBCTR0 </td><td>ITATBCTR0 </td><td>- </td><td>ITATBCTR0  </td></tr>
+<tr>
+<td>TPI-&gt;FIFO1 </td><td>FIFO data 1 </td><td>- </td><td>Integration ITM Data  </td></tr>
+<tr>
+<td>TPI-&gt;ITCTRL </td><td>TPIU_ITCTRL </td><td>- </td><td>Integration Mode Control  </td></tr>
+<tr>
+<td>TPI-&gt;CLAIMSET </td><td>CLAIMSET </td><td>- </td><td>Claim tag set  </td></tr>
+<tr>
+<td>TPI-&gt;CLAIMCLR </td><td>CLAIMCLR </td><td>- </td><td>Claim tag clear  </td></tr>
+<tr>
+<td>TPI-&gt;DEVID </td><td>TPIU_DEVID </td><td>- </td><td>TPIU_DEVID  </td></tr>
+<tr>
+<td>TPI-&gt;DEVTYPE </td><td>TPIU_DEVTYPE </td><td>- </td><td>TPIU_DEVTYPE  </td></tr>
+<tr>
+<th colspan="4">Memory Protection Unit (MPU) Register Access  </th></tr>
+<tr>
+<td>MPU-&gt;TYPE </td><td>MPU_TYPE </td><td>- </td><td>MPU Type Register  </td></tr>
+<tr>
+<td>MPU-&gt;CTRL </td><td>MPU_CTRL </td><td>- </td><td>MPU Control Register  </td></tr>
+<tr>
+<td>MPU-&gt;RNR </td><td>MPU_RNR </td><td>- </td><td>MPU Region Number Register  </td></tr>
+<tr>
+<td>MPU-&gt;RBAR </td><td>MPU_RBAR </td><td>- </td><td>MPU Region Base Address Register  </td></tr>
+<tr>
+<td>MPU-&gt;RASR </td><td>MPU_RASR </td><td>- </td><td>MPU Region Attribute and Size Register  </td></tr>
+<tr>
+<td>MPU-&gt;RBAR_A1..3 </td><td>MPU_RBAR_A1..3 </td><td>- </td><td>MPU alias Register  </td></tr>
+<tr>
+<td>MPU-&gt;RSAR_A1..3 </td><td>MPU_RSAR_A1..3 </td><td>- </td><td>MPU alias Register  </td></tr>
+<tr>
+<th colspan="4">Floating Point Unit (FPU) Register Access [only Cortex-M4 and Cortex-M7 both with FPU]  </th></tr>
+<tr>
+<td>FPU-&gt;FPCCR </td><td>FPCCR </td><td>- </td><td>FP Context Control Register  </td></tr>
+<tr>
+<td>FPU-&gt;FPCAR </td><td>FPCAR </td><td>- </td><td>FP Context Address Register  </td></tr>
+<tr>
+<td>FPU-&gt;FPDSCR </td><td>FPDSCR </td><td>- </td><td>FP Default Status Control Register  </td></tr>
+<tr>
+<td>FPU-&gt;MVFR0..1 </td><td>MVFR0..1 </td><td>- </td><td>Media and VFP Feature Registers  </td></tr>
+</table>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/_templates_pg.html b/Documentation/Core/html/_templates_pg.html
new file mode 100644
index 0000000..b5bc0e9
--- /dev/null
+++ b/Documentation/Core/html/_templates_pg.html
@@ -0,0 +1,212 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Template Files</title>
+<title>CMSIS-CORE: Template Files</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_templates_pg.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Template Files </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>ARM supplies CMSIS-CORE template files for the all supported Cortex-M processors and various compiler vendors. Refer to the list of <a class="el" href="index.html#tested_tools_sec">Tested and Verified Toolchains</a> for compliance. These template files include the following:</p>
+<ul>
+<li>Register names of the Core Peripherals and names of the Core Exception Vectors.</li>
+<li>Functions to access core peripherals, special CPU instructions and SIMD instructions (for Cortex-M4 and Cortex-M7)</li>
+<li>Generic startup code and system configuration code.</li>
+</ul>
+<p>The detailed file structure of the CMSIS-CORE is shown in the following picture.</p>
+<div class="image">
+<img src="CMSIS_CORE_Files.png" alt="CMSIS_CORE_Files.png"/>
+<div class="caption">
+CMSIS-CORE File Structure</div></div>
+ <h1><a class="anchor" id="template_files_sec"></a>
+Template Files</h1>
+<p>The CMSIS-CORE template files should be extended by the silicon vendor to reflect the actual device and device peripherals. Silicon vendors add in this context the:</p>
+<ul>
+<li><b>Device Peripheral Access Layer</b> that provides definitions for device-specific peripherals.</li>
+<li><b>Access Functions for Peripherals</b> (optional) that provides additional helper functions to access device-specific peripherals.</li>
+<li><b>Interrupt vectors</b> in the startup file that are device specific.</li>
+</ul>
+<table  class="cmtable">
+<tr>
+<th>Template File </th><th>Description  </th></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Source\ARM\startup_Device.s </td><td>Startup file template for ARM C/C++ Compiler.  </td></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Source\GCC\startup_Device.s </td><td>Startup file template for GNU GCC ARM Embedded Compiler.  </td></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Source\IAR\startup_Device.s </td><td>Startup file template for IAR C/C++ Compiler.  </td></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Source\system_Device.c </td><td>Generic system_Device.c file for system configuration (i.e. processor clock and memory bus system).  </td></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Include\Device.h </td><td>Generic device header file. Needs to be extended with the device-specific peripheral registers. Optionally functions that access the peripherals can be part of that file.  </td></tr>
+<tr>
+<td>.\Device\_Template_Vendor\Vendor\Device\Include\system_Device.h </td><td>Generic system device configuration include file.  </td></tr>
+</table>
+<p>In addition ARM provides the following core header files that do not need any modifications.</p>
+<table  class="cmtable">
+<tr>
+<th>Core Header Files </th><th>Description  </th></tr>
+<tr>
+<td><b>core_&lt;cpu&gt;.h</b> </td><td>Defines the core peripherals and provides helper functions that access the core registers. This file is available for all supported processors:<ul>
+<li>core_cm0.h: for the Cortex-M0 processor</li>
+<li>core_cm0plus.h: for the Cortex-M0+ processor</li>
+<li>core_cm3.h: for the Cortex-M3 processor</li>
+<li>core_cm4.h: for the Cortex-M4 processor</li>
+<li>core_cm7.h: for the Cortex-M7 processor</li>
+<li>core_sc000.h: for the SecurCore SC000 processor</li>
+<li>core_sc300.h: for the SecurCore SC300 processor   </li>
+</ul>
+</td></tr>
+<tr>
+<td><b>core_cmInstr.h</b> </td><td>Defines intrinsic functions to access special Cortex-M instructions.  </td></tr>
+<tr>
+<td><b>core_cmFunc.h</b> </td><td>Defines functions to access the Cortex-M core peripherals.  </td></tr>
+<tr>
+<td><b>core_cm4_simd.h</b> </td><td>Defines intrinsic functions to access the SIMD instructions for Cortex-M4 and Cortex-M7.  </td></tr>
+</table>
+<h1><a class="anchor" id="adapt_template_files_sec"></a>
+Adaption of Template Files to Devices</h1>
+<p>Copy the complete folder including files and replace:</p>
+<ul>
+<li>folder name 'Vendor' with the abbreviation for the device vendor e.g.: NXP.</li>
+<li>folder name 'Device' with the specific device name e.g.: LPC17xx.</li>
+<li>in the filenames 'Device' with the specific device name e.g.: LPC17xx.</li>
+</ul>
+<p>Each template file contains comments that start with <b>ToDo:</b> that describe a required modification. The template files contain placeholders:</p>
+<table  class="cmtable">
+<tr>
+<th>Placeholder </th><th>Replaced with  </th></tr>
+<tr>
+<td>&lt;Device&gt; </td><td>the specific device name or device family name; i.e. LPC17xx.  </td></tr>
+<tr>
+<td>&lt;DeviceInterrupt&gt; </td><td>a specific interrupt name of the device; i.e. TIM1 for Timer 1. </td></tr>
+<tr>
+<td>&lt;DeviceAbbreviation&gt; </td><td>short name or abbreviation of the device family; i.e. LPC.  </td></tr>
+<tr>
+<td>Cortex-M# </td><td>the specific Cortex-M processor name; i.e. Cortex-M3.  </td></tr>
+</table>
+<p>The adaption of the template files is described in detail on the following pages:</p>
+<ul>
+<li><a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a></li>
+<li><a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a></li>
+<li><a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> </li>
+</ul>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/_templates_pg.js b/Documentation/Core/html/_templates_pg.js
new file mode 100644
index 0000000..972e1a1
--- /dev/null
+++ b/Documentation/Core/html/_templates_pg.js
@@ -0,0 +1,19 @@
+var _templates_pg =
+[
+    [ "Template Files", "_templates_pg.html#template_files_sec", null ],
+    [ "Adaption of Template Files to Devices", "_templates_pg.html#adapt_template_files_sec", null ],
+    [ "Startup File startup_<device>.s", "startup_s_pg.html", [
+      [ "startup_Device.s Template File", "startup_s_pg.html#startup_s_sec", null ]
+    ] ],
+    [ "System Configuration Files system_<device>.c and system_<device>.h", "system_c_pg.html", [
+      [ "system_Device.c Template File", "system_c_pg.html#system_Device_sec", null ],
+      [ "system_Device.h Template File", "system_c_pg.html#system_Device_h_sec", null ]
+    ] ],
+    [ "Device Header File <device.h>", "device_h_pg.html", [
+      [ "Interrupt Number Definition", "device_h_pg.html#interrupt_number_sec", null ],
+      [ "Configuration of the Processor and Core Peripherals", "device_h_pg.html#core_config_sect", null ],
+      [ "CMSIS Version and Processor Information", "device_h_pg.html#core_version_sect", null ],
+      [ "Device Peripheral Access Layer", "device_h_pg.html#device_access", null ],
+      [ "Device.h Template File", "device_h_pg.html#device_h_sec", null ]
+    ] ]
+];
\ No newline at end of file
diff --git a/Documentation/Core/html/_using__a_r_m_pg.html b/Documentation/Core/html/_using__a_r_m_pg.html
new file mode 100644
index 0000000..b8b2a16
--- /dev/null
+++ b/Documentation/Core/html/_using__a_r_m_pg.html
@@ -0,0 +1,169 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Using CMSIS with generic ARM Processors</title>
+<title>CMSIS-CORE: Using CMSIS with generic ARM Processors</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_using__a_r_m_pg.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Using CMSIS with generic ARM Processors </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>ARM provides CMSIS-CORE files for the supported ARM Processors and for various compiler vendors. These files can be used when standard ARM processors should be used in a project. The table below lists the folder and device names of the ARM processors.</p>
+<table  class="cmtable">
+<tr>
+<th>Folder </th><th>Processor </th><th>Description  </th></tr>
+<tr>
+<td>".\Device\ARM\ARMCM0" </td><td>Cortex-M0 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the Cortex-M0 processor. The device name is ARMCM0 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMCM0.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMCM0plus" </td><td>Cortex-M0+ </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the Cortex-M0+ processor. The device name is ARMCM0plus and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMCM0plus.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMCM3" </td><td>Cortex-M3 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the Cortex-M3 processor. The device name is ARMCM3 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMCM3.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMCM4" </td><td>Cortex-M4 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the Cortex-M4 processor. The device name is ARMCM4 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMCM4.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMCM7" </td><td>Cortex-M7 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the Cortex-M7 processor. The device name is ARMCM7 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMCM7.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMSC000" </td><td>SecurCore SC000 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the SecurCore SC000 processor. The device name is ARMSC000 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMSC000.h&gt;.   </td></tr>
+<tr>
+<td>".\Device\ARM\ARMSC300" </td><td>SecurCore SC300 </td><td>Contains <b>Include</b> and <b>Source</b> template files configured for the SecurCore SC300 processor. The device name is ARMSC300 and the name of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is &lt;ARMSC300.h&gt;.   </td></tr>
+</table>
+<h1><a class="anchor" id="Using_ARM_Lib_sec"></a>
+Create generic Libraries with CMSIS</h1>
+<p>The CMSIS Processor and Core Peripheral files allow also to create generic libraries. The <a href="../../DSP/html/index.html"><b>CMSIS-DSP</b> </a> Libraries are an example for such a generic library.</p>
+<p>To build a generic Library set the define <b><b>CMSIS_GENERIC</b> and include the relevant <b>core_&lt;cpu&gt;.h</b> CMSIS CPU &amp; Core Access header file for the processor. The define <b></b>CMSIS_GENERIC</b> disables device-dependent features such as the <b>SysTick</b> timer and the <b>Interrupt System</b>. Refer to <a class="el" href="device_h_pg.html#core_config_sect">Configuration of the Processor and Core Peripherals</a> for a list of the available <b>core_&lt;cpu&gt;.h</b> header files.</p>
+<p><b>Example:</b> </p>
+<p>The following code section shows the usage of the <b>core_&lt;cpu&gt;.h</b> header files to build a generic library for Cortex-M0, Cortex-M3, Cortex-M4, or Cortex-M7. To select the processor, the source code uses the define <b>CORTEX_M7</b>, <b>CORTEX_M4</b>, <b>CORTEX_M3</b>, <b>CORTEX_M0</b>, or <b>CORTEX_M0PLUS</b>. By using this header file, the source code can access the functions for <a class="el" href="group___core___register__gr.html">Core Register Access</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html">Intrinsic Functions for CPU Instructions</a>, <a class="el" href="group__intrinsic___s_i_m_d__gr.html">Intrinsic Functions for SIMD Instructions [only Cortex-M4 and Cortex-M7]</a>, and <a class="el" href="group___i_t_m___debug__gr.html">Debug Access</a>.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CMSIS_GENERIC              </span><span class="comment">/* disable NVIC and Systick functions */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor">#if defined (CORTEX_M7)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #include &quot;core_cm7.h&quot;</span></div>
+<div class="line"><span class="preprocessor">#if defined (CORTEX_M4)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #include &quot;core_cm4.h&quot;</span></div>
+<div class="line"><span class="preprocessor">#elif defined (CORTEX_M3)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #include &quot;core_cm3.h&quot;</span></div>
+<div class="line"><span class="preprocessor">#elif defined (CORTEX_M0)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #include &quot;core_cm0.h&quot;</span></div>
+<div class="line"><span class="preprocessor">#elif defined (CORTEX_M0PLUS)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #include &quot;core_cm0plus.h&quot;</span></div>
+<div class="line"><span class="preprocessor">#else</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">  #error &quot;Processor not specified or unsupported.&quot;</span></div>
+<div class="line"><span class="preprocessor">#endif</span></div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_using_pg.html">Using CMSIS in Embedded Applications</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
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diff --git a/Documentation/Core/html/_using__c_m_s_i_s.html b/Documentation/Core/html/_using__c_m_s_i_s.html
new file mode 100644
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@@ -0,0 +1,177 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Basic CMSIS Example</title>
+<title>CMSIS-CORE: Basic CMSIS Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Basic CMSIS Example </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>A typical example for using the CMSIS layer is provided below. The example is based on a STM32F10x Device.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;stm32f10x.h&gt;</span>                           <span class="comment">// File name depends on device used</span></div>
+<div class="line"> </div>
+<div class="line">uint32_t <span class="keyword">volatile</span> msTicks;                       <span class="comment">// Counter for millisecond Interval</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> SysTick_Handler (<span class="keywordtype">void</span>) {                    <span class="comment">// SysTick Interrupt Handler</span></div>
+<div class="line">  msTicks++;                                     <span class="comment">// Increment Counter</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> WaitForTick (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  uint32_t curTicks;</div>
+<div class="line"> </div>
+<div class="line">  curTicks = msTicks;                            <span class="comment">// Save Current SysTick Value</span></div>
+<div class="line">  <span class="keywordflow">while</span> (msTicks == curTicks)  {                 <span class="comment">// Wait for next SysTick Interrupt</span></div>
+<div class="line">    <a class="code" href="group__intrinsic___c_p_u__gr.html#gad3efec76c3bfa2b8528ded530386c563" title="Wait For Event.">__WFE</a> ();                                    <span class="comment">// Power-Down until next Event/Interrupt</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> TIM1_UP_IRQHandler (<span class="keywordtype">void</span>) {                 <span class="comment">// Timer Interrupt Handler</span></div>
+<div class="line">  ;                                              <span class="comment">// Add user code here</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> timer1_init(<span class="keywordtype">int</span> frequency) {                <span class="comment">// Set up Timer (device specific)</span></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798" title="Set the priority for an interrupt.">NVIC_SetPriority</a> (TIM1_UP_IRQn, 1);            <span class="comment">// Set Timer priority</span></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f" title="Enable an external interrupt.">NVIC_EnableIRQ</a> (TIM1_UP_IRQn);                 <span class="comment">// Enable Timer Interrupt</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Device_Initialization (<span class="keywordtype">void</span>)  {             <span class="comment">// Configure &amp; Initialize MCU</span></div>
+<div class="line">  <span class="keywordflow">if</span> (<a class="code" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427" title="System Tick Timer Configuration.">SysTick_Config</a> (<a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a> / 1000)) { <span class="comment">// SysTick 1mSec</span></div>
+<div class="line">       : <span class="comment">// Handle Error </span></div>
+<div class="line">  }</div>
+<div class="line">  timer1_init ();                                <span class="comment">// setup device-specific timer</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">// The processor clock is initialized by CMSIS startup + system file</span></div>
+<div class="line"><span class="keywordtype">void</span> main (<span class="keywordtype">void</span>) {                                   <span class="comment">// user application starts here</span></div>
+<div class="line">  Device_Initialization ();                      <span class="comment">// Configure &amp; Initialize MCU</span></div>
+<div class="line">  <span class="keywordflow">while</span> (1)  {                                   <span class="comment">// Endless Loop (the Super-Loop)</span></div>
+<div class="line">    <a class="code" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013" title="Globally disables interrupts and configurable fault handlers.">__disable_irq</a> ();                            <span class="comment">// Disable all interrupts</span></div>
+<div class="line">    Get_InputValues ();                          <span class="comment">// Read Values</span></div>
+<div class="line">    <a class="code" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27" title="Globally enables interrupts and configurable fault handlers.">__enable_irq</a> ();                             <span class="comment">// Enable all interrupts </span></div>
+<div class="line">    Calculation_Response ();                     <span class="comment">// Calculate Results</span></div>
+<div class="line">    Output_Response ();                          <span class="comment">// Output Results</span></div>
+<div class="line">    WaitForTick ();                              <span class="comment">// Synchronize to SysTick Timer</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_using_pg.html">Using CMSIS in Embedded Applications</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/Core/html/_using__v_t_o_r_pg.html b/Documentation/Core/html/_using__v_t_o_r_pg.html
new file mode 100644
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@@ -0,0 +1,181 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Using Interrupt Vector Remap</title>
+<title>CMSIS-CORE: Using Interrupt Vector Remap</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
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+<!-- end header part -->
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+<div class="title">Using Interrupt Vector Remap </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>Most Cortex-M processors provide VTOR register for remapping interrupt vectors. The following example shows a typical use case where the interrupt vectors are copied to RAM and the SysTick_Handler is replaced.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;ARMCM3.h&quot;</span>                     <span class="comment">// Device header</span></div>
+<div class="line"> </div>
+<div class="line"><span class="comment">/* externals from startup_ARMCM3.s */</span></div>
+<div class="line"><span class="keyword">extern</span> uint32_t __Vectors[];                             <span class="comment">/* vector table ROM  */</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#define VECTORTABLE_SIZE        (256)          </span><span class="comment">/* size Cortex-M3 vector table */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define VECTORTABLE_ALIGNMENT   (0x100ul) </span><span class="comment">/* 16 Cortex + 32 ARMCM3 = 48 words */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>                                          <span class="comment">/* next power of 2 = 256            */</span></div>
+<div class="line"> </div>
+<div class="line"><span class="comment">/* new vector table in RAM */</span></div>
+<div class="line">uint32_t vectorTable_RAM[VECTORTABLE_SIZE] __attribute__(( aligned (VECTORTABLE_ALIGNMENT) ));</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">/*----------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  SysTick_Handler</span></div>
+<div class="line"><span class="comment"> *----------------------------------------------------------------------------*/</span></div>
+<div class="line"><span class="keyword">volatile</span> uint32_t msTicks = 0;                        <span class="comment">/* counts 1ms timeTicks */</span></div>
+<div class="line"><span class="keywordtype">void</span> SysTick_Handler(<span class="keywordtype">void</span>) {</div>
+<div class="line">  msTicks++;                                             <span class="comment">/* increment counter */</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">/*----------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  SysTick_Handler (RAM)</span></div>
+<div class="line"><span class="comment"> *----------------------------------------------------------------------------*/</span></div>
+<div class="line"><span class="keyword">volatile</span> uint32_t msTicks_RAM = 0;                    <span class="comment">/* counts 1ms timeTicks */</span></div>
+<div class="line"><span class="keywordtype">void</span> SysTick_Handler_RAM(<span class="keywordtype">void</span>) {</div>
+<div class="line">  msTicks_RAM++;                                         <span class="comment">/* increment counter */</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">/*----------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  MAIN function</span></div>
+<div class="line"><span class="comment"> *----------------------------------------------------------------------------*/</span></div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>) {</div>
+<div class="line">  uint32_t i;</div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">for</span> (i = 0; i &lt; VECTORTABLE_SIZE; i++) {</div>
+<div class="line">    vectorTable_RAM[i] = __Vectors[i];            <span class="comment">/* copy vector table to RAM */</span></div>
+<div class="line">  }</div>
+<div class="line">                                                   <span class="comment">/* replace SysTick Handler */</span></div>
+<div class="line">  vectorTable_RAM[<a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7" title="Exception 15: System Tick Interrupt.">SysTick_IRQn</a> + 16] = (uint32_t)SysTick_Handler_RAM;</div>
+<div class="line">        </div>
+<div class="line">  <span class="comment">/* relocate vector table */</span> </div>
+<div class="line">  <a class="code" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013" title="Globally disables interrupts and configurable fault handlers.">__disable_irq</a>();</div>
+<div class="line">    SCB-&gt;VTOR = (uint32_t)&amp;vectorTable_RAM;</div>
+<div class="line">  <a class="code" href="group__intrinsic___c_p_u__gr.html#gacb2a8ca6eae1ba4b31161578b720c199" title="Data Synchronization Barrier.">__DSB</a>();</div>
+<div class="line">  <a class="code" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27" title="Globally enables interrupts and configurable fault handlers.">__enable_irq</a>();</div>
+<div class="line"> </div>
+<div class="line">  <a class="code" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f" title="Function to update the variable SystemCoreClock.">SystemCoreClockUpdate</a>();                        <span class="comment">/* Get Core Clock Frequency */</span></div>
+<div class="line">  <a class="code" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427" title="System Tick Timer Configuration.">SysTick_Config</a>(<a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a> / 1000ul); <span class="comment">/* Setup SysTick Timer for 1 msec */</span></div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">while</span>(1);</div>
+<div class="line">}</div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_using_pg.html">Using CMSIS in Embedded Applications</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/Core/html/_using_pg.html b/Documentation/Core/html/_using_pg.html
new file mode 100644
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@@ -0,0 +1,172 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Using CMSIS in Embedded Applications</title>
+<title>CMSIS-CORE: Using CMSIS in Embedded Applications</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+$(document).ready(function(){initNavTree('_using_pg.html','');});
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">Using CMSIS in Embedded Applications </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>To use the CMSIS-CORE the following files are added to the embedded application:</p>
+<ul>
+<li><a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> with reset handler and exception vectors.</li>
+<li><a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a> with general device configuration (i.e. for clock and BUS setup).</li>
+<li><a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> gives access to processor core and all peripherals.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The files <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> and <a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a> may require application specific adaptations and therefore should be copied into the application project folder prior configuration. The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is included in all source files that need device access and can be stored on a central include folder that is generic for all projects.</dd></dl>
+<p>The <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> is executed after reset and calls <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a>. After the system initialization control is transferred to the C/C++ run-time library which performs initialization and calls the <b>main</b> function in the user code. In addition the <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> contains all exception and interrupt vectors and implements a default function for every interrupt. It may also contain stack and heap configurations for the user application.</p>
+<p>The <a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a> performs the setup for the processor clock. The variable <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a> indicates the CPU clock speed. <a class="el" href="group__system__init__gr.html">System and Clock Configuration</a> describes the minimum feature set. In addition the file may contain functions for the memory BUS setup and clock re-configuration.</p>
+<p>The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> is the central include file that the application programmer is using in the C source code. It provides the following features:</p>
+<ul>
+<li><a class="el" href="group__peripheral__gr.html">Peripheral Access</a> provides a standardized register layout for all peripherals. Optionally functions for device-specific peripherals may be available.</li>
+<li><a class="el" href="group___n_v_i_c__gr.html">Interrupts and Exceptions (NVIC)</a> can be accessed with standardized symbols and functions for the Nested Interrupt Vector Controller (NVIC) are provided.</li>
+<li><a class="el" href="group__intrinsic___c_p_u__gr.html">Intrinsic Functions for CPU Instructions</a> allow to access special instructions, for example for activating sleep mode or the NOP instruction.</li>
+<li><a class="el" href="group__intrinsic___s_i_m_d__gr.html">Intrinsic Functions for SIMD Instructions [only Cortex-M4 and Cortex-M7]</a> provide access to the DSP-oriented instructions.</li>
+<li><a class="el" href="group___sys_tick__gr.html">Systick Timer (SYSTICK)</a> function to configure and start a periodic timer interrupt.</li>
+<li><a class="el" href="group___i_t_m___debug__gr.html">Debug Access</a> are functions that allow printf-style I/O via the CoreSight Debug Unit and ITM communication.</li>
+</ul>
+<div class="image">
+<img src="CMSIS_CORE_Files_user.png" alt="CMSIS_CORE_Files_user.png"/>
+<div class="caption">
+CMSIS-CORE User Files</div></div>
+<p> The CMSIS-CORE are device specific. In addition, the <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> is also compiler vendor specific. The various compiler vendor tool chains may provide folders that contain the CMSIS files for each supported device.</p>
+<p>For example, the following files are provided in MDK-ARM to support the STM32F10x Connectivity Line device variants:</p>
+<table  class="cmtable">
+<tr>
+<th>File </th><th>Description  </th></tr>
+<tr>
+<td>".\ARM\Startup\ST\STM32F10x\startup_stm32f10x_cl.s" </td><td><a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> for the STM32F10x Connectivity Line device variants.  </td></tr>
+<tr>
+<td>".\ARM\Startup\ST\STM32F10x\system_stmf10x.c" </td><td><a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a> for the STM32F10x device families.  </td></tr>
+<tr>
+<td>".\ARM\INC\ST\STM32F10x\stm32f10x.h" </td><td><a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> for the STM32F10x device families.  </td></tr>
+<tr>
+<td>".\ARM\INC\ST\STM32F10x\system_stm32f10x.h" </td><td><a class="el" href="system_c_pg.html#system_Device_h_sec">system_Device.h Template File</a> for the STM32F10x device families.  </td></tr>
+</table>
+<dl class="section note"><dt>Note</dt><dd>The silicon vendors create these device-specific CMSIS-CORE files based on <a class="el" href="_templates_pg.html">Template Files</a> provide by ARM.</dd></dl>
+<p>Thereafter, the functions described under <a href="Modules.html"><b>Reference</b> </a> can be used in the application.</p>
+<p><b>Examples</b> </p>
+<ul>
+<li><a class="el" href="_using__c_m_s_i_s.html">Basic CMSIS Example</a> is a simple example that shows the usage of the CMSIS layer.</li>
+<li><a class="el" href="_using__v_t_o_r_pg.html">Using Interrupt Vector Remap</a> shows how to remap the interrupt vector table.</li>
+<li><a class="el" href="_using__a_r_m_pg.html">Using CMSIS with generic ARM Processors</a> explains how to use CMSIS-CORE for ARM processors. </li>
+</ul>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
+</body>
+</html>
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+[
+    [ "Basic CMSIS Example", "_using__c_m_s_i_s.html", null ],
+    [ "Using Interrupt Vector Remap", "_using__v_t_o_r_pg.html", null ],
+    [ "Using CMSIS with generic ARM Processors", "_using__a_r_m_pg.html", [
+      [ "Create generic Libraries with CMSIS", "_using__a_r_m_pg.html#Using_ARM_Lib_sec", null ]
+    ] ]
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@@ -0,0 +1,152 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Structures</title>
+<title>CMSIS-CORE: Data Structures</title>
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+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+      <li class="current"><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<div id="doc-content">
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+<div id="MSearchSelectWindow"
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+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">Data Structures</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here are the data structures with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="union_a_p_s_r___type.html" target="_self">APSR_Type</a></td><td class="desc">Union type to access the Application Program Status Register (APSR)</td></tr>
+<tr id="row_1_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="union_c_o_n_t_r_o_l___type.html" target="_self">CONTROL_Type</a></td><td class="desc">Union type to access the Control Registers (CONTROL)</td></tr>
+<tr id="row_2_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_core_debug___type.html" target="_self">CoreDebug_Type</a></td><td class="desc">Structure type to access the Core Debug Register (CoreDebug)</td></tr>
+<tr id="row_3_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_d_w_t___type.html" target="_self">DWT_Type</a></td><td class="desc">Structure type to access the Data Watchpoint and Trace Register (DWT)</td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_f_p_u___type.html" target="_self">FPU_Type</a></td><td class="desc">Structure type to access the Floating Point Unit (FPU)</td></tr>
+<tr id="row_5_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="union_i_p_s_r___type.html" target="_self">IPSR_Type</a></td><td class="desc">Union type to access the Interrupt Program Status Register (IPSR)</td></tr>
+<tr id="row_6_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_i_t_m___type.html" target="_self">ITM_Type</a></td><td class="desc">Structure type to access the Instrumentation Trace Macrocell Register (ITM)</td></tr>
+<tr id="row_7_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_m_p_u___type.html" target="_self">MPU_Type</a></td><td class="desc">Structure type to access the Memory Protection Unit (MPU)</td></tr>
+<tr id="row_8_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_n_v_i_c___type.html" target="_self">NVIC_Type</a></td><td class="desc">Structure type to access the Nested Vectored Interrupt Controller (NVIC)</td></tr>
+<tr id="row_9_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_s_c_b___type.html" target="_self">SCB_Type</a></td><td class="desc">Structure type to access the System Control Block (SCB)</td></tr>
+<tr id="row_10_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_s_cn_s_c_b___type.html" target="_self">SCnSCB_Type</a></td><td class="desc">Structure type to access the System Control and ID Register not in the SCB</td></tr>
+<tr id="row_11_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_sys_tick___type.html" target="_self">SysTick_Type</a></td><td class="desc">Structure type to access the System Timer (SysTick)</td></tr>
+<tr id="row_12_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="struct_t_p_i___type.html" target="_self">TPI_Type</a></td><td class="desc">Structure type to access the Trace Port Interface Register (TPI)</td></tr>
+<tr id="row_13_"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="unionx_p_s_r___type.html" target="_self">xPSR_Type</a></td><td class="desc">Union type to access the Special-Purpose Program Status Registers (xPSR)</td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Structure Index</title>
+<title>CMSIS-CORE: Data Structure Index</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<div id="doc-content">
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="title">Data Structure Index</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="qindex"><a class="qindex" href="#letter_A">A</a>&#160;|&#160;<a class="qindex" href="#letter_C">C</a>&#160;|&#160;<a class="qindex" href="#letter_D">D</a>&#160;|&#160;<a class="qindex" href="#letter_F">F</a>&#160;|&#160;<a class="qindex" href="#letter_I">I</a>&#160;|&#160;<a class="qindex" href="#letter_M">M</a>&#160;|&#160;<a class="qindex" href="#letter_N">N</a>&#160;|&#160;<a class="qindex" href="#letter_S">S</a>&#160;|&#160;<a class="qindex" href="#letter_T">T</a>&#160;|&#160;<a class="qindex" href="#letter_X">X</a></div>
+<table style="margin: 10px; white-space: nowrap;" align="center" width="95%" border="0" cellspacing="0" cellpadding="0">
+<tr><td rowspan="2" valign="bottom"><a name="letter_A"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;A&#160;&#160;</div></td></tr></table>
+</td><td rowspan="2" valign="bottom"><a name="letter_D"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;D&#160;&#160;</div></td></tr></table>
+</td><td valign="top"><a class="el" href="struct_i_t_m___type.html">ITM_Type</a>&#160;&#160;&#160;</td><td rowspan="2" valign="bottom"><a name="letter_S"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;S&#160;&#160;</div></td></tr></table>
+</td><td rowspan="2" valign="bottom"><a name="letter_X"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;X&#160;&#160;</div></td></tr></table>
+</td></tr>
+<tr><td rowspan="2" valign="bottom"><a name="letter_M"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;M&#160;&#160;</div></td></tr></table>
+</td></tr>
+<tr><td valign="top"><a class="el" href="union_a_p_s_r___type.html">APSR_Type</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="struct_d_w_t___type.html">DWT_Type</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="struct_s_c_b___type.html">SCB_Type</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="unionx_p_s_r___type.html">xPSR_Type</a>&#160;&#160;&#160;</td></tr>
+<tr><td rowspan="2" valign="bottom"><a name="letter_C"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;C&#160;&#160;</div></td></tr></table>
+</td><td rowspan="2" valign="bottom"><a name="letter_F"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;F&#160;&#160;</div></td></tr></table>
+</td><td valign="top"><a class="el" href="struct_m_p_u___type.html">MPU_Type</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="struct_s_cn_s_c_b___type.html">SCnSCB_Type</a>&#160;&#160;&#160;</td><td></td></tr>
+<tr><td rowspan="2" valign="bottom"><a name="letter_N"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;N&#160;&#160;</div></td></tr></table>
+</td><td valign="top"><a class="el" href="struct_sys_tick___type.html">SysTick_Type</a>&#160;&#160;&#160;</td><td></td></tr>
+<tr><td valign="top"><a class="el" href="union_c_o_n_t_r_o_l___type.html">CONTROL_Type</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="struct_f_p_u___type.html">FPU_Type</a>&#160;&#160;&#160;</td><td rowspan="2" valign="bottom"><a name="letter_T"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;T&#160;&#160;</div></td></tr></table>
+</td><td></td></tr>
+<tr><td valign="top"><a class="el" href="struct_core_debug___type.html">CoreDebug_Type</a>&#160;&#160;&#160;</td><td rowspan="2" valign="bottom"><a name="letter_I"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;I&#160;&#160;</div></td></tr></table>
+</td><td valign="top"><a class="el" href="struct_n_v_i_c___type.html">NVIC_Type</a>&#160;&#160;&#160;</td><td></td></tr>
+<tr><td></td><td></td><td valign="top"><a class="el" href="struct_t_p_i___type.html">TPI_Type</a>&#160;&#160;&#160;</td><td></td></tr>
+<tr><td></td><td valign="top"><a class="el" href="union_i_p_s_r___type.html">IPSR_Type</a>&#160;&#160;&#160;</td><td></td><td></td><td></td></tr>
+<tr><td></td><td></td><td></td><td></td><td></td></tr>
+</table>
+<div class="qindex"><a class="qindex" href="#letter_A">A</a>&#160;|&#160;<a class="qindex" href="#letter_C">C</a>&#160;|&#160;<a class="qindex" href="#letter_D">D</a>&#160;|&#160;<a class="qindex" href="#letter_F">F</a>&#160;|&#160;<a class="qindex" href="#letter_I">I</a>&#160;|&#160;<a class="qindex" href="#letter_M">M</a>&#160;|&#160;<a class="qindex" href="#letter_N">N</a>&#160;|&#160;<a class="qindex" href="#letter_S">S</a>&#160;|&#160;<a class="qindex" href="#letter_T">T</a>&#160;|&#160;<a class="qindex" href="#letter_X">X</a></div>
+</div><!-- contents -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
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+}
+.mand {
+		color: #0000FF;
+}
+.opt {
+		color: #008000;
+}
+.cond {
+		color: #990000;
+}
+
+.choice 
+{
+	background-color:#F7F9D0;
+}
+.seq 
+{
+	background-color:#C9DECB;
+}
+.group1
+{
+	background-color:#F8F1F1;
+}
+.group2
+{
+	background-color:#DCEDEA;
+}
+
+
+ul ul {
+		list-style-type: disc;
+}
+
+ul ul ul {
+		list-style-type: disc;
+}
+
+ul.hierarchy {
+		color: green;
+}
+
+em {
+		color: #000000;
+		font-style:italic;
+}
+
+
+
+/*  CMSIS Tables */
+table.cmtab1 {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+	text-align: justify;
+	width:70%;
+}
+
+th.cmtab1 {
+	background: #EBEFF6;
+	font-weight: bold;
+	height: 28px;
+}
+
+td.cmtab1 {
+	padding:1px;
+	text-align: left;
+}
+
+table.cmtable {
+	border-collapse:collapse;
+	text-align: justify;
+}
+
+table.cmtable td, table.cmtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.cmtable th {
+	background-color: #EBEFF6;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+	text-align:left;
+}
+
+td.MonoTxt {
+	font-family:"Arial monospaced for SAP";
+}
+
+td.XML-Token 
+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
+
+span.XML-Token 
+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
+
+span.h2 
+{
+	font-size: 120%;
+	font-weight: bold;
+}
+
+
+
+/* @group Heading Levels */
+
+h1 {
+	font-size: 150%;
+}
+
+.title {
+	font-size: 150%;
+	font-weight: bold;
+	margin: 10px 2px;
+}
+
+h2 {
+	font-size: 120%;
+}
+
+h3 {
+	font-size: 100%;
+}
+
+h1, h2, h3, h4, h5, h6 {
+	-webkit-transition: text-shadow 0.5s linear;
+	-moz-transition: text-shadow 0.5s linear;
+	-ms-transition: text-shadow 0.5s linear;
+	-o-transition: text-shadow 0.5s linear;
+	transition: text-shadow 0.5s linear;
+	margin-right: 15px;
+}
+
+h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow {
+	text-shadow: 0 0 15px cyan;
+}
+
+dt {
+	font-weight: bold;
+}
+
+div.multicol {
+	-moz-column-gap: 1em;
+	-webkit-column-gap: 1em;
+	-moz-column-count: 3;
+	-webkit-column-count: 3;
+}
+
+p.startli, p.startdd, p.starttd {
+	margin-top: 2px;
+}
+
+p.endli {
+	margin-bottom: 0px;
+}
+
+p.enddd {
+	margin-bottom: 4px;
+}
+
+p.endtd {
+	margin-bottom: 2px;
+}
+
+/* @end */
+
+caption {
+	font-weight: bold;
+}
+
+span.legend {
+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3A568E;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4464A5;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9AAED5;
+	color: #ffffff;
+	border: 1px double #849CCC;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C3CFE6;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+}
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C3CFE6;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C3CFE6;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EDF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9AAED5;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A2B4D8;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4769AD;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memItemLeft, .memItemRight, .memTemplParams {
+	border-top: 1px solid #C3CFE6;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4464A5;
+        white-space: nowrap;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4464A5;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A7B8DA;
+        border-left: 1px solid #A7B8DA;
+        border-right: 1px solid #A7B8DA;
+        padding: 6px 0px 6px 0px;
+        color: #233456;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A7B8DA;      
+        border-left: 1px solid #A7B8DA;      
+        border-right: 1px solid #A7B8DA; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #708CC4;
+        border-top:1px solid #5072B7;
+        border-left:1px solid #5072B7;
+        border-right:1px solid #C3CFE6;
+        border-bottom:1px solid #C3CFE6;
+	text-shadow: none;
+        color: white;
+        margin-right: 4px;
+        padding: 2px 3px;
+        border-radius: 3px;
+        font-size: 7pt;
+	white-space: nowrap;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3A568E;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #293C63;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2B4069;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #EBEFF6;
+	color: #000000;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A7B8DA;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A7B8DA;
+        border-bottom: 1px solid #A7B8DA;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A7B8DA;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        font-size: 90%;
+        color: #233456;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A7B8DA;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	height:30px;
+	line-height:30px;
+	color:#889FCE;
+	border:solid 1px #C1CDE5;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#344D7E;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6583BF;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#344D7E;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
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diff --git a/Documentation/Core/html/core_revision_history.html b/Documentation/Core/html/core_revision_history.html
new file mode 100644
index 0000000..cf554d5
--- /dev/null
+++ b/Documentation/Core/html/core_revision_history.html
@@ -0,0 +1,206 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Revision History of CMSIS-CORE</title>
+<title>CMSIS-CORE: Revision History of CMSIS-CORE</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
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+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+               onmouseover="return searchBox.OnSearchSelectShow()"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+          </span><span class="right">
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+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('core_revision_history.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Revision History of CMSIS-CORE </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><table  class="cmtable" summary="Core Exception Name">
+<tr>
+<th>Version </th><th>Description  </th></tr>
+<tr>
+<td>V4.30 </td><td>Corrected: DoxyGen function parameter comments.<br/>
+ Corrected: IAR toolchain: removed for <a class="el" href="group___n_v_i_c__gr.html#ga1b47d17e90b6a03e7bd1ec6a0d549b46">NVIC_SystemReset</a> the attribute(noreturn).<br/>
+ Corrected: GCC toolchain: supressed irrelevant compiler warnings.<br/>
+ Added: Support files for ARM Compiler v6 (cmsis_armcc_v6.h).   </td></tr>
+<tr>
+<td>V4.20 </td><td>Corrected: MISRA-C:2004 violations. <br/>
+ Corrected: predefined macro for TI CCS Compiler. <br/>
+ Corrected: function <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga15d8899a173effb8ad8c7268da32b60e">__SHADD16</a> in arm_math.h. <br/>
+ Updated: cache functions for Cortex-M7. <br/>
+ Added: macros <a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e">_VAL2FLD</a>, <a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444">_FLD2VAL</a> to core_*.h. <br/>
+ Updated: functions <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga87618799672e1511e33964bc71467eb3">__QASX</a>, <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab41eb2b17512ab01d476fc9d5bd19520">__QSAX</a>, <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae0a649035f67627464fd80e7218c89d5">__SHASX</a>, <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafadbd89c36b5addcf1ca10dd392db3e9">__SHSAX</a>. <br/>
+ Corrected: potential bug in function <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga15d8899a173effb8ad8c7268da32b60e">__SHADD16</a>.   </td></tr>
+<tr>
+<td>V4.10 </td><td>Corrected: MISRA-C:2004 violations. <br/>
+ Corrected: intrinsic functions <a class="el" href="group__intrinsic___c_p_u__gr.html#gacb2a8ca6eae1ba4b31161578b720c199">__DSB</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#gab1c9b393641dc2d397b3408fdbe72b96">__DMB</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga93c09b4709394d81977300d5f84950e5">__ISB</a>. <br/>
+ Corrected: register definitions for ITCMCR register. <br/>
+ Corrected: register definitions for <a class="el" href="union_c_o_n_t_r_o_l___type.html">CONTROL_Type</a> register. <br/>
+ Added: functions <a class="el" href="group__fpu__functions__m7.html#ga6bcad99ce80a0e7e4ddc6f2379081756">SCB_GetFPUType</a>, <a class="el" href="group___dcache__functions__m7.html#ga503ef7ef58c0773defd15a82f6336c09">SCB_InvalidateDCache_by_Addr</a> to core_cm7.h. <br/>
+ Added: register definitions for <a class="el" href="union_a_p_s_r___type.html">APSR_Type</a>, <a class="el" href="union_i_p_s_r___type.html">IPSR_Type</a>, <a class="el" href="unionx_p_s_r___type.html">xPSR_Type</a> register. <br/>
+ Added: <a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9">__set_BASEPRI_MAX</a> function to core_cmFunc.h. <br/>
+ Added: intrinsic functions <a class="el" href="group__intrinsic___c_p_u__gr.html#gad6f9f297f6b91a995ee199fbc796b863">__RBIT</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga90884c591ac5d73d6069334eba9d6c02">__CLZ</a> for Cortex-M0/CortexM0+. <br/>
+   </td></tr>
+<tr>
+<td>V4.00 </td><td>Added: Cortex-M7 support.<br/>
+ Added: intrinsic functions for <a class="el" href="group__intrinsic___c_p_u__gr.html#gac09134f1bf9c49db07282001afcc9380">__RRX</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9464d75db32846aa8295c3c3adfacb41">__LDRBT</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#gaa762b8bc5634ce38cb14d62a6b2aee32">__LDRHT</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga616504f5da979ba8a073d428d6e8d5c7">__LDRT</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#gad41aa59c92c0a165b7f98428d3320cd5">__STRBT</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga2b5d93b8e461755b1072a03df3f1722e">__STRHT</a>, and <a class="el" href="group__intrinsic___c_p_u__gr.html#ga625bc4ac0b1d50de9bcd13d9f050030e">__STRT</a> <br/>
+   </td></tr>
+<tr>
+<td>V3.40 </td><td>Corrected: C++ include guard settings.<br/>
+   </td></tr>
+<tr>
+<td>V3.30 </td><td>Added: COSMIC tool chain support.<br/>
+ Corrected: GCC __SMLALDX instruction intrinsic for Cortex-M4.<br/>
+ Corrected: GCC __SMLALD instruction intrinsic for Cortex-M4.<br/>
+ Corrected: GCC/CLang warnings.<br/>
+   </td></tr>
+<tr>
+<td>V3.20 </td><td>Added: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga92f5621626711931da71eaa8bf301af7">__BKPT</a> instruction intrinsic.<br/>
+ Added: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaea60757232f740ec6b09980eebb614ff">__SMMLA</a> instruction intrinsic for Cortex-M4.<br/>
+ Corrected: <a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">ITM_SendChar</a>.<br/>
+ Corrected: <a class="el" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27">__enable_irq</a>, <a class="el" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013">__disable_irq</a> and inline assembly for GCC Compiler.<br/>
+ Corrected: <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395">NVIC_GetPriority</a> and VTOR_TBLOFF for Cortex-M0/M0+, SC000. Corrected: rework of in-line assembly functions to remove potential compiler warnings.<br/>
+   </td></tr>
+<tr>
+<td>V3.01 </td><td>Added support for Cortex-M0+ processor. <br/>
+   </td></tr>
+<tr>
+<td>V3.00 </td><td>Added support for GNU GCC ARM Embedded Compiler. <br/>
+ Added function <a class="el" href="group__intrinsic___c_p_u__gr.html#gaf66beb577bb9d90424c3d1d7f684c024">__ROR</a>.<br/>
+ Added <a class="el" href="_reg_map_pg.html">Register Mapping</a> for TPIU, DWT. <br/>
+ Added support for <a class="el" href="device_h_pg.html#core_config_sect">SC000 and SC300 processors</a>.<br/>
+ Corrected <a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">ITM_SendChar</a> function. <br/>
+ Corrected the functions <a class="el" href="group__intrinsic___c_p_u__gr.html#gaab6482d1f59f59e2b6b7efc1af391c99">__STREXB</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga0a354bdf71caa52f081a4a54e84c8d2a">__STREXH</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga335deaaa7991490e1450cb7d1e4c5197">__STREXW</a> for the GNU GCC compiler section. <br/>
+ Documentation restructured.   </td></tr>
+<tr>
+<td>V2.10 </td><td>Updated documentation.<br/>
+ Updated CMSIS core include files.<br/>
+ Changed CMSIS/Device folder structure.<br/>
+ Added support for Cortex-M0, Cortex-M4 w/o FPU to CMSIS DSP library.<br/>
+ Reworked CMSIS DSP library examples.   </td></tr>
+<tr>
+<td>V2.00 </td><td>Added support for Cortex-M4 processor.  </td></tr>
+<tr>
+<td>V1.30 </td><td>Reworked Startup Concept.<br/>
+ Added additional Debug Functionality.<br/>
+ Changed folder structure.<br/>
+ Added doxygen comments.<br/>
+ Added definitions for bit.   </td></tr>
+<tr>
+<td>V1.01 </td><td>Added support for Cortex-M0 processor.  </td></tr>
+<tr>
+<td>V1.01 </td><td>Added intrinsic functions for <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9e3ac13d8dcf4331176b624cf6234a7e">__LDREXB</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9feffc093d6f68b120d592a7a0d45a15">__LDREXH</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#gabd78840a0f2464905b7cec791ebc6a4c">__LDREXW</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#gaab6482d1f59f59e2b6b7efc1af391c99">__STREXB</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga0a354bdf71caa52f081a4a54e84c8d2a">__STREXH</a>, <a class="el" href="group__intrinsic___c_p_u__gr.html#ga335deaaa7991490e1450cb7d1e4c5197">__STREXW</a>, and <a class="el" href="group__intrinsic___c_p_u__gr.html#ga354c5ac8870cc3dfb823367af9c4b412">__CLREX</a>  </td></tr>
+<tr>
+<td>V1.00 </td><td>Initial Release for Cortex-M3 processor.  </td></tr>
+</table>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<title>CMSIS-CORE: Device Header File &lt;device.h&gt;</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<div class="title">Device Header File &lt;device.h&gt; </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> contains the following sections that are device specific:</p>
+<ul>
+<li><a class="el" href="device_h_pg.html#interrupt_number_sec">Interrupt Number Definition</a> provides interrupt numbers (IRQn) for all exceptions and interrupts of the device.</li>
+<li><a class="el" href="device_h_pg.html#core_config_sect">Configuration of the Processor and Core Peripherals</a> reflect the features of the device.</li>
+<li><a class="el" href="device_h_pg.html#device_access">Device Peripheral Access Layer</a> provides definitions for the <a class="el" href="group__peripheral__gr.html">Peripheral Access</a> to all device peripherals. It contains all data structures and the address mapping for device-specific peripherals.</li>
+<li><b>Access Functions for Peripherals (optional)</b> provide additional helper functions for peripherals that are useful for programming of these peripherals. Access Functions may be provided as inline functions or can be extern references to a device-specific library provided by the silicon vendor.</li>
+</ul>
+<p><a href="Modules.html"><b>Reference</b> </a> describes the standard features and functions of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> in detail.</p>
+<h1><a class="anchor" id="interrupt_number_sec"></a>
+Interrupt Number Definition</h1>
+<p><a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> contains the enumeration <a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> that defines all exceptions and interrupts of the device.</p>
+<ul>
+<li>Negative IRQn values represent processor core exceptions (internal interrupts).</li>
+<li>Positive IRQn values represent device-specific exceptions (external interrupts). The first device-specific interrupt has the IRQn value 0. The IRQn values needs extension to reflect the device-specific interrupt vector table in the <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a>.</li>
+</ul>
+<p><b>Example:</b> </p>
+<p>The following example shows the extension of the interrupt vector table for the LPC1100 device family.</p>
+<div class="fragment"><div class="line"><span class="keyword">typedef</span> <span class="keyword">enum</span> IRQn</div>
+<div class="line">{</div>
+<div class="line"><span class="comment">/******  Cortex-M0 Processor Exceptions Numbers ***************************************************/</span></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ade177d9c70c89e084093024b932a4e30" title="Exception 2: Non Maskable Interrupt.">NonMaskableInt_IRQn</a>           = -14,      </div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ab1a222a34a32f0ef5ac65e714efc1f85" title="Exception 3: Hard Fault Interrupt.">HardFault_IRQn</a>                = -13,      </div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237" title="Exception 11: SV Call Interrupt.">SVCall_IRQn</a>                   = -5,       </div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a03c3cc89984928816d81793fc7bce4a2" title="Exception 14: Pend SV Interrupt [not on Cortex-M0 variants].">PendSV_IRQn</a>                   = -2,       </div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7" title="Exception 15: System Tick Interrupt.">SysTick_IRQn</a>                  = -1,       </div>
+<div class="line"><span class="comment">/******  LPC11xx/LPC11Cxx Specific Interrupt Numbers **********************************************/</span></div>
+<div class="line">  WAKEUP0_IRQn                  = 0,        </div>
+<div class="line">  WAKEUP1_IRQn                  = 1,        </div>
+<div class="line">  WAKEUP2_IRQn                  = 2,</div>
+<div class="line">                 :       :</div>
+<div class="line">                 :       :</div>
+<div class="line">  EINT1_IRQn                    = 30,       </div>
+<div class="line">  EINT0_IRQn                    = 31,       </div>
+<div class="line">} <a class="code" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8" title="Definition of IRQn numbers.">IRQn_Type</a>;</div>
+</div><!-- fragment --><h1><a class="anchor" id="core_config_sect"></a>
+Configuration of the Processor and Core Peripherals</h1>
+<p>The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> configures the Cortex-M or SecurCore processor and the core peripherals with <em>#defines</em> that are set prior to including the file <b>core_&lt;cpu&gt;.h</b>.</p>
+<p>The following tables list the <em>#defines</em> along with the possible values for each processor core. If these <em>#defines</em> are missing default values are used.</p>
+<p><b>core_cm0.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__CM0_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 </td><td>2 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>core_cm0plus.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__CM0PLUS_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 </td><td>2 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>core_cm3.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__CM3_REV </td><td>0x0101 | 0x0200 </td><td>0x0200 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 .. 8 </td><td>4 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__MPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a MPU is present or not  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>core_cm4.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__CM4_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 .. 8 </td><td>4 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__MPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a MPU is present or not  </td></tr>
+<tr>
+<td>__FPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a FPU is present or not  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>core_cm7.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__CM7_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__MPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a MPU is present or not  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 .. 8 </td><td>4 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+<tr>
+<td>__FPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a FPU is present or not. See <b>__FPU_DP</b> description below.  </td></tr>
+<tr>
+<td>__FPU_DP </td><td>0 .. 1 </td><td>0 </td><td>The combination of the defines <b>__FPU_PRESENT</b> and <b>__FPU_DP</b> determine the whether the FPU is with single or double precision as shown in the table below. <br/>
+<br/>
+ <table  class="cmtable">
+<tr bgcolor="cyan">
+<td><b>__FPU_PRESENT</b> </td><td><b>__FPU_DP</b> </td><td><b>Description</b>  </td></tr>
+<tr>
+<td align="center">0 </td><td align="center"><em>ignored</em> </td><td>Processor has no FPU. The value set for <b>__FPU_DP</b> has no influence.   </td></tr>
+<tr>
+<td align="center">1 </td><td align="center">0 </td><td>Processor with FPU with single precision. The file <b>ARMCM7_SP.h</b> has preconfigured settings for this combination.  </td></tr>
+<tr>
+<td align="center">1 </td><td align="center">1 </td><td>Processor with FPU with double precision. The file <b>ARMCM7_DP.h</b> has preconfigured settings for this combination.  </td></tr>
+</table>
+</td></tr>
+<tr>
+<td>__ICACHE_PRESENT </td><td>0 .. 1 </td><td>1 </td><td>Instruction Chache present or not  </td></tr>
+<tr>
+<td>__DCACHE_PRESENT </td><td>0 .. 1 </td><td>1 </td><td>Data Chache present or not  </td></tr>
+<tr>
+<td>__DTCM_PRESENT </td><td>0 .. 1 </td><td>1 </td><td><p class="starttd">Data Tightly Coupled Memory is present or not </p>
+<p class="endtd"></p>
+</td></tr>
+</table>
+<p><b>core_sc000.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__SC000_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 </td><td>2 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__MPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a MPU is present or not  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>core_sc300.h</b> </p>
+<table  class="cmtable">
+<tr>
+<th>#define </th><th>Value Range </th><th>Default </th><th>Description  </th></tr>
+<tr>
+<td>__SC300_REV </td><td>0x0000 </td><td>0x0000 </td><td>Core revision number ([15:8] revision number, [7:0] patch number)  </td></tr>
+<tr>
+<td>__NVIC_PRIO_BITS </td><td>2 .. 8 </td><td>4 </td><td>Number of priority bits implemented in the NVIC (device specific)  </td></tr>
+<tr>
+<td>__MPU_PRESENT </td><td>0 .. 1 </td><td>0 </td><td>Defines if a MPU is present or not  </td></tr>
+<tr>
+<td>__Vendor_SysTickConfig </td><td>0 .. 1 </td><td>0 </td><td>If this define is set to 1, then the default <b>SysTick_Config</b> function is excluded. In this case, the file <em><b>device.h</b></em> must contain a vendor specific implementation of this function.  </td></tr>
+</table>
+<p><b>Example</b> </p>
+<p>The following code exemplifies the configuration of the Cortex-M4 Processor and Core Peripherals.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM4_REV                 0x0001    </span><span class="comment">/* Core revision r0p1                                 */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __MPU_PRESENT             1         </span><span class="comment">/* MPU present or not                                 */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __NVIC_PRIO_BITS          3         </span><span class="comment">/* Number of Bits used for Priority Levels            */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __Vendor_SysTickConfig    0         </span><span class="comment">/* Set to 1 if different SysTick Config is used       */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __FPU_PRESENT             1         </span><span class="comment">/* FPU present or not                                 */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>.</div>
+<div class="line">.</div>
+<div class="line"><span class="preprocessor">#include &lt;core_cm4.h&gt;</span>                       <span class="comment">/* Cortex-M4 processor and core peripherals           */</span></div>
+</div><!-- fragment --><h1><a class="anchor" id="core_version_sect"></a>
+CMSIS Version and Processor Information</h1>
+<p>Defines in the core_<em>cpu</em>.h file identify the version of the CMSIS-CORE and the processor used. The following shows the defines in the various core_<em>cpu</em>.h files that may be used in the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> to verify a minimum version or ensure that the right processor core is used.</p>
+<p><b>core_cm0.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM0_CMSIS_VERSION_MAIN    (0x03)                                   </span><span class="comment">/* [31:16] CMSIS HAL main version   */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM0_CMSIS_VERSION_SUB     (0x00)                                   </span><span class="comment">/* [15:0]  CMSIS HAL sub version    */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM0_CMSIS_VERSION         ((__CM0_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                      __CM0_CMSIS_VERSION_SUB          )     </span><span class="comment">/* CMSIS HAL version number         */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_M                  (0x00)                                   </span><span class="comment">/* Cortex-M Core                    */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p><b>core_cm0plus.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM0PLUS_CMSIS_VERSION_MAIN   (0x03)                                </span><span class="comment">/* [31:16] CMSIS HAL main version   */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM0PLUS_CMSIS_VERSION_SUB    (0x00)                                </span><span class="comment">/* [15:0]  CMSIS HAL sub version    */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM0PLUS_CMSIS_VERSION        ((__CM0P_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                     __CM0P_CMSIS_VERSION_SUB          )  </span><span class="comment">/* CMSIS HAL version number         */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_M                  (0x00)                                </span><span class="comment">/* Cortex-M Core                    */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p><b>core_cm3.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM3_CMSIS_VERSION_MAIN    (0x03)                                   </span><span class="comment">/* [31:16] CMSIS HAL main version   */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM3_CMSIS_VERSION_SUB     (0x00)                                   </span><span class="comment">/* [15:0]  CMSIS HAL sub version    */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM3_CMSIS_VERSION         ((__CM3_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                      __CM3_CMSIS_VERSION_SUB          )     </span><span class="comment">/* CMSIS HAL version number         */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_M                  (0x03)                                   </span><span class="comment">/* Cortex-M Core                    */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p><b>core_cm4.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM4_CMSIS_VERSION_MAIN    (0x04)                                   </span><span class="comment">/* [31:16] CMSIS HAL main version   */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM4_CMSIS_VERSION_SUB     (0x00)                                   </span><span class="comment">/* [15:0]  CMSIS HAL sub version    */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __CM4_CMSIS_VERSION         ((__CM4_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                      __CM4_CMSIS_VERSION_SUB          )     </span><span class="comment">/* CMSIS HAL version number         */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_M                  (0x04)                                   </span><span class="comment">/* Cortex-M Core                    */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p><b>core_cm7.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __CM7_CMSIS_VERSION_MAIN  (0x04)                                     </span></div>
+<div class="line"><span class="preprocessor">#define __CM7_CMSIS_VERSION_SUB   (0x00)                                     </span></div>
+<div class="line"><span class="preprocessor">#define __CM7_CMSIS_VERSION       ((__CM7_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                    __CM7_CMSIS_VERSION_SUB          )       </span></div>
+<div class="line"><span class="preprocessor">#define __CORTEX_M                (0x07)                                     </span></div>
+</div><!-- fragment --><p><b>core_sc000.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __SC000_CMSIS_VERSION_MAIN  (0x04)                                   </span><span class="comment">/* [31:16] CMSIS HAL main version */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __SC000_CMSIS_VERSION_SUB   (0x00)                                   </span><span class="comment">/* [15:0]  CMSIS HAL sub version  */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __SC000_CMSIS_VERSION       ((__SC000_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                      __SC000_CMSIS_VERSION_SUB          )   </span><span class="comment">/* CMSIS HAL version number       */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_SC                 (000)                                    </span><span class="comment">/* Cortex secure core             */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p><b>core_sc300.h</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define __SC300_CMSIS_VERSION_MAIN  (0x04)                                   </span><span class="comment">/* [31:16] CMSIS HAL main version */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __SC300_CMSIS_VERSION_SUB   (0x00)                                   </span><span class="comment">/* [15:0]  CMSIS HAL sub version  */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define __SC300_CMSIS_VERSION       ((__SC300_CMSIS_VERSION_MAIN &lt;&lt; 16) | \</span></div>
+<div class="line"><span class="preprocessor">                                      __SC300_CMSIS_VERSION_SUB          )   </span><span class="comment">/* CMSIS HAL version number       */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span>...    </div>
+<div class="line"><span class="preprocessor">#define __CORTEX_SC                 (300)                                    </span><span class="comment">/* Cortex secure core             */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><h1><a class="anchor" id="device_access"></a>
+Device Peripheral Access Layer</h1>
+<p>The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> contains for each peripheral:</p>
+<ul>
+<li>Register Layout Typedef</li>
+<li>Base Address</li>
+<li>Access Definitions</li>
+</ul>
+<p>The section <a class="el" href="group__peripheral__gr.html">Peripheral Access</a> shows examples for peripheral definitions.</p>
+<h1><a class="anchor" id="device_h_sec"></a>
+Device.h Template File</h1>
+<p>The silicon vendor needs to extend the Device.h template file with the CMSIS features described above. In addition the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> may contain functions to access device-specific peripherals. The <a class="el" href="system_c_pg.html#system_Device_h_sec">system_Device.h Template File</a> which is provided as part of the CMSIS specification is shown below.</p>
+<pre class="fragment">/**************************************************************************//**
+ * @file     &lt;Device&gt;.h
+ * @brief    CMSIS Cortex-M# Core Peripheral Access Layer Header File for
+ *           Device &lt;Device&gt;
+ * @version  V3.10
+ * @date     23. November 2012
+ *
+ * @note
+ *
+ ******************************************************************************/
+/* Copyright (c) 2012 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#ifndef &lt;Device&gt;_H      /* ToDo: replace '&lt;Device&gt;' with your device name */
+#define &lt;Device&gt;_H
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* ToDo: replace '&lt;Device&gt;' with your device name; add your doxyGen comment   */
+/** @addtogroup &lt;Device&gt;_Definitions &lt;Device&gt; Definitions
+  This file defines all structures and symbols for &lt;Device&gt;:
+    - registers and bitfields
+    - peripheral base address
+    - peripheral ID
+    - Peripheral definitions
+  @{
+*/
+
+
+/******************************************************************************/
+/*                Processor and Core Peripherals                              */
+/******************************************************************************/
+/** @addtogroup &lt;Device&gt;_CMSIS Device CMSIS Definitions
+  Configuration of the Cortex-M# Processor and Core Peripherals
+  @{
+*/
+
+/*
+ * ==========================================================================
+ * ---------- Interrupt Number Definition -----------------------------------
+ * ==========================================================================
+ */
+
+typedef enum IRQn
+{
+/******  Cortex-M# Processor Exceptions Numbers ***************************************************/
+
+/* ToDo: use this Cortex interrupt numbers if your device is a CORTEX-M0 device                   */
+  NonMaskableInt_IRQn           = -14,      /*!&lt;  2 Non Maskable Interrupt                        */
+  HardFault_IRQn                = -13,      /*!&lt;  3 Hard Fault Interrupt                          */
+  SVCall_IRQn                   = -5,       /*!&lt; 11 SV Call Interrupt                             */
+  PendSV_IRQn                   = -2,       /*!&lt; 14 Pend SV Interrupt                             */
+  SysTick_IRQn                  = -1,       /*!&lt; 15 System Tick Interrupt                         */
+
+/* ToDo: use this Cortex interrupt numbers if your device is a CORTEX-M3 / Cortex-M4 device       */
+  NonMaskableInt_IRQn           = -14,      /*!&lt;  2 Non Maskable Interrupt                        */
+  MemoryManagement_IRQn         = -12,      /*!&lt;  4 Memory Management Interrupt                   */
+  BusFault_IRQn                 = -11,      /*!&lt;  5 Bus Fault Interrupt                           */
+  UsageFault_IRQn               = -10,      /*!&lt;  6 Usage Fault Interrupt                         */
+  SVCall_IRQn                   = -5,       /*!&lt; 11 SV Call Interrupt                             */
+  DebugMonitor_IRQn             = -4,       /*!&lt; 12 Debug Monitor Interrupt                       */
+  PendSV_IRQn                   = -2,       /*!&lt; 14 Pend SV Interrupt                             */
+  SysTick_IRQn                  = -1,       /*!&lt; 15 System Tick Interrupt                         */
+
+/******  Device Specific Interrupt Numbers ********************************************************/
+/* ToDo: add here your device specific external interrupt numbers
+         according the interrupt handlers defined in startup_Device.s
+         eg.: Interrupt for Timer#1       TIM1_IRQHandler   -&gt;   TIM1_IRQn                        */
+  &lt;DeviceInterrupt&gt;_IRQn        = 0,        /*!&lt; Device Interrupt                                 */
+} IRQn_Type;
+
+
+/*
+ * ==========================================================================
+ * ----------- Processor and Core Peripheral Section ------------------------
+ * ==========================================================================
+ */
+
+/* Configuration of the Cortex-M# Processor and Core Peripherals */
+/* ToDo: set the defines according your Device                                                    */
+/* ToDo: define the correct core revision
+         __CM0_REV if your device is a CORTEX-M0 device
+         __CM3_REV if your device is a CORTEX-M3 device
+         __CM4_REV if your device is a CORTEX-M4 device                                           */
+#define __CM#_REV                 0x0201    /*!&lt; Core Revision r2p1                               */
+#define __NVIC_PRIO_BITS          2         /*!&lt; Number of Bits used for Priority Levels          */
+#define __Vendor_SysTickConfig    0         /*!&lt; Set to 1 if different SysTick Config is used     */
+#define __MPU_PRESENT             0         /*!&lt; MPU present or not                               */
+/* ToDo: define __FPU_PRESENT if your devise is a CORTEX-M4                                       */
+#define __FPU_PRESENT             0        /*!&lt; FPU present or not                                */
+
+/*@}*/ /* end of group &lt;Device&gt;_CMSIS */
+
+
+/* ToDo: include the correct core_cm#.h file
+         core_cm0.h if your device is a CORTEX-M0 device
+         core_cm3.h if your device is a CORTEX-M3 device
+         core_cm4.h if your device is a CORTEX-M4 device                                          */
+#include &lt;core_cm#.h&gt;                       /* Cortex-M# processor and core peripherals           */
+/* ToDo: include your system_&lt;Device&gt;.h file
+         replace '&lt;Device&gt;' with your device name                                                 */
+#include "system_&lt;Device&gt;.h"                /* &lt;Device&gt; System  include file                      */
+
+
+/******************************************************************************/
+/*                Device Specific Peripheral registers structures             */
+/******************************************************************************/
+/** @addtogroup &lt;Device&gt;_Peripherals &lt;Device&gt; Peripherals
+  &lt;Device&gt; Device Specific Peripheral registers structures
+  @{
+*/
+
+#if defined ( __CC_ARM   )
+#pragma anon_unions
+#endif
+
+/* ToDo: add here your device specific peripheral access structure typedefs
+         following is an example for a timer                                  */
+
+/*------------- 16-bit Timer/Event Counter (TMR) -----------------------------*/
+/** @addtogroup &lt;Device&gt;_TMR &lt;Device&gt; 16-bit Timer/Event Counter (TMR)
+  @{
+*/
+typedef struct
+{
+  __IO uint32_t EN;                         /*!&lt; Offset: 0x0000   Timer Enable Register           */
+  __IO uint32_t RUN;                        /*!&lt; Offset: 0x0004   Timer RUN Register              */
+  __IO uint32_t CR;                         /*!&lt; Offset: 0x0008   Timer Control Register          */
+  __IO uint32_t MOD;                        /*!&lt; Offset: 0x000C   Timer Mode Register             */
+       uint32_t RESERVED0[1];
+  __IO uint32_t ST;                         /*!&lt; Offset: 0x0014   Timer Status Register           */
+  __IO uint32_t IM;                         /*!&lt; Offset: 0x0018   Interrupt Mask Register         */
+  __IO uint32_t UC;                         /*!&lt; Offset: 0x001C   Timer Up Counter Register       */
+  __IO uint32_t RG0                         /*!&lt; Offset: 0x0020   Timer Register                  */
+       uint32_t RESERVED1[2];
+  __IO uint32_t CP;                         /*!&lt; Offset: 0x002C   Capture register                */
+} &lt;DeviceAbbreviation&gt;_TMR_TypeDef;
+/*@}*/ /* end of group &lt;Device&gt;_TMR */
+
+
+#if defined ( __CC_ARM   )
+#pragma no_anon_unions
+#endif
+
+/*@}*/ /* end of group &lt;Device&gt;_Peripherals */
+
+
+/******************************************************************************/
+/*                         Peripheral memory map                              */
+/******************************************************************************/
+/* ToDo: add here your device peripherals base addresses
+         following is an example for timer                                    */
+/** @addtogroup &lt;Device&gt;_MemoryMap &lt;Device&gt; Memory Mapping
+  @{
+*/
+
+/* Peripheral and SRAM base address */
+#define &lt;DeviceAbbreviation&gt;_FLASH_BASE       (0x00000000UL)                              /*!&lt; (FLASH     ) Base Address */
+#define &lt;DeviceAbbreviation&gt;_SRAM_BASE        (0x20000000UL)                              /*!&lt; (SRAM      ) Base Address */
+#define &lt;DeviceAbbreviation&gt;_PERIPH_BASE      (0x40000000UL)                              /*!&lt; (Peripheral) Base Address */
+
+/* Peripheral memory map */
+#define &lt;DeviceAbbreviation&gt;TIM0_BASE         (&lt;DeviceAbbreviation&gt;_PERIPH_BASE)          /*!&lt; (Timer0    ) Base Address */
+#define &lt;DeviceAbbreviation&gt;TIM1_BASE         (&lt;DeviceAbbreviation&gt;_PERIPH_BASE + 0x0800) /*!&lt; (Timer1    ) Base Address */
+#define &lt;DeviceAbbreviation&gt;TIM2_BASE         (&lt;DeviceAbbreviation&gt;_PERIPH_BASE + 0x1000) /*!&lt; (Timer2    ) Base Address */
+/*@}*/ /* end of group &lt;Device&gt;_MemoryMap */
+
+
+/******************************************************************************/
+/*                         Peripheral declaration                             */
+/******************************************************************************/
+/* ToDo: add here your device peripherals pointer definitions
+         following is an example for timer                                    */
+
+/** @addtogroup &lt;Device&gt;_PeripheralDecl &lt;Device&gt; Peripheral Declaration
+  @{
+*/
+
+#define &lt;DeviceAbbreviation&gt;_TIM0        ((&lt;DeviceAbbreviation&gt;_TMR_TypeDef *) &lt;DeviceAbbreviation&gt;TIM0_BASE)
+#define &lt;DeviceAbbreviation&gt;_TIM1        ((&lt;DeviceAbbreviation&gt;_TMR_TypeDef *) &lt;DeviceAbbreviation&gt;TIM0_BASE)
+#define &lt;DeviceAbbreviation&gt;_TIM2        ((&lt;DeviceAbbreviation&gt;_TMR_TypeDef *) &lt;DeviceAbbreviation&gt;TIM0_BASE)
+/*@}*/ /* end of group &lt;Device&gt;_PeripheralDecl */
+
+/*@}*/ /* end of group &lt;Device&gt;_Definitions */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif  /* &lt;Device&gt;_H */
+</pre> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_templates_pg.html">Template Files</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C3CFE6;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C3CFE6;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EDF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9AAED5;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A2B4D8;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4769AD;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td, .fieldtable tr {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow, .fieldtable tr.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memSeparator {
+        border-bottom: 1px solid #DEE4F0;
+        line-height: 1px;
+        margin: 0px;
+        padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4464A5;
+        white-space: nowrap;
+	font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4464A5;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+        display: table !important;
+        width: 100%;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A7B8DA;
+        border-left: 1px solid #A7B8DA;
+        border-right: 1px solid #A7B8DA;
+        padding: 6px 0px 6px 0px;
+        color: #233456;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A7B8DA;      
+        border-left: 1px solid #A7B8DA;      
+        border-right: 1px solid #A7B8DA; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+.paramname code {
+        line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #708CC4;
+        border-top:1px solid #5072B7;
+        border-left:1px solid #5072B7;
+        border-right:1px solid #C3CFE6;
+        border-bottom:1px solid #C3CFE6;
+	text-shadow: none;
+	color: white;
+	margin-right: 4px;
+	padding: 2px 3px;
+	border-radius: 3px;
+	font-size: 7pt;
+	white-space: nowrap;
+	vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.entry a img {
+        border: none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	padding-top: 3px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3A568E;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #293C63;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2B4069;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #354E81;
+	color: #FFFFFF;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A7B8DA;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A7B8DA;
+        border-bottom: 1px solid #A7B8DA;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A7B8DA;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        font-size: 90%;
+        color: #233456;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A7B8DA;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	background-position: 0 -5px;
+	height:30px;
+	line-height:30px;
+	color:#889FCE;
+	border:solid 1px #C1CDE5;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#344D7E;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+	color: #27395E;
+	font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+	text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+	text-decoration: none;        
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6583BF;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#344D7E;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	font-size: 8pt;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C3CFE6;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 10px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
+dl.section dd {
+	margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+	text-align: center;
+	vertical-align: bottom;
+	border-collapse: separate;
+}
+ 
+#projectlogo img
+{ 
+	border: 0px none;
+}
+ 
+#projectname
+{
+	font: 300% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 2px 0px;
+}
+    
+#projectbrief
+{
+	font: 120% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#projectnumber
+{
+	font: 50% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#titlearea
+{
+	padding: 0px;
+	margin: 0px;
+	width: 100%;
+	border-bottom: 1px solid #5072B7;
+}
+
+.image
+{
+        text-align: center;
+}
+
+.dotgraph
+{
+        text-align: center;
+}
+
+.mscgraph
+{
+        text-align: center;
+}
+
+.caption
+{
+	font-weight: bold;
+}
+
+div.zoom
+{
+	border: 1px solid #8EA4D0;
+}
+
+dl.citelist {
+        margin-bottom:50px;
+}
+
+dl.citelist dt {
+        color:#314877;
+        float:left;
+        font-weight:bold;
+        margin-right:10px;
+        padding:5px;
+}
+
+dl.citelist dd {
+        margin:2px 0;
+        padding:5px 0;
+}
+
+div.toc {
+        padding: 14px 25px;
+        background-color: #F4F6FA;
+        border: 1px solid #D7DFEE;
+        border-radius: 7px 7px 7px 7px;
+        float: right;
+        height: auto;
+        margin: 0 20px 10px 10px;
+        width: 200px;
+}
+
+div.toc li {
+        background: url("bdwn.png") no-repeat scroll 0 5px transparent;
+        font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif;
+        margin-top: 5px;
+        padding-left: 10px;
+        padding-top: 2px;
+}
+
+div.toc h3 {
+        font: bold 12px/1.2 Arial,FreeSans,sans-serif;
+	color: #4464A5;
+        border-bottom: 0 none;
+        margin: 0;
+}
+
+div.toc ul {
+        list-style: none outside none;
+        border: medium none;
+        padding: 0px;
+}       
+
+div.toc li.level1 {
+        margin-left: 0px;
+}
+
+div.toc li.level2 {
+        margin-left: 15px;
+}
+
+div.toc li.level3 {
+        margin-left: 30px;
+}
+
+div.toc li.level4 {
+        margin-left: 45px;
+}
+
+.inherit_header {
+        font-weight: bold;
+        color: gray;
+        cursor: pointer;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+.inherit_header td {
+        padding: 6px 0px 2px 5px;
+}
+
+.inherit {
+        display: none;
+}
+
+tr.heading h2 {
+        margin-top: 12px;
+        margin-bottom: 4px;
+}
+
+@media print
+{
+  #top { display: none; }
+  #side-nav { display: none; }
+  #nav-path { display: none; }
+  body { overflow:visible; }
+  h1, h2, h3, h4, h5, h6 { page-break-after: avoid; }
+  .summary { display: none; }
+  .memitem { page-break-inside: avoid; }
+  #doc-content
+  {
+    margin-left:0 !important;
+    height:auto !important;
+    width:auto !important;
+    overflow:inherit;
+    display:inline;
+  }
+}
+
diff --git a/Documentation/Core/html/doxygen.png b/Documentation/Core/html/doxygen.png
new file mode 100644
index 0000000..7765a33
--- /dev/null
+++ b/Documentation/Core/html/doxygen.png
Binary files differ
diff --git a/Documentation/Core/html/dynsections.js b/Documentation/Core/html/dynsections.js
new file mode 100644
index 0000000..116542f
--- /dev/null
+++ b/Documentation/Core/html/dynsections.js
@@ -0,0 +1,78 @@
+function toggleVisibility(linkObj)
+{
+ var base = $(linkObj).attr('id');
+ var summary = $('#'+base+'-summary');
+ var content = $('#'+base+'-content');
+ var trigger = $('#'+base+'-trigger');
+ var src=$(trigger).attr('src');
+ if (content.is(':visible')===true) {
+   content.hide();
+   summary.show();
+   $(linkObj).addClass('closed').removeClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-8)+'closed.png');
+ } else {
+   content.show();
+   summary.hide();
+   $(linkObj).removeClass('closed').addClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-10)+'open.png');
+ } 
+ return false;
+}
+
+function updateStripes()
+{
+  $('table.directory tr').
+       removeClass('even').filter(':visible:even').addClass('even');
+}
+function toggleLevel(level)
+{
+  $('table.directory tr').each(function(){ 
+    var l = this.id.split('_').length-1;
+    var i = $('#img'+this.id.substring(3));
+    var a = $('#arr'+this.id.substring(3));
+    if (l<level+1) {
+      i.attr('src','ftv2folderopen.png');
+      a.attr('src','ftv2mnode.png');
+      $(this).show();
+    } else if (l==level+1) {
+      i.attr('src','ftv2folderclosed.png');
+      a.attr('src','ftv2pnode.png');
+      $(this).show();
+    } else {
+      $(this).hide();
+    }
+  });
+  updateStripes();
+}
+function toggleFolder(id) 
+{
+  var n = $('[id^=row_'+id+']');
+  var i = $('[id^=img_'+id+']');
+  var a = $('[id^=arr_'+id+']');
+  var c = n.slice(1);
+  if (c.filter(':first').is(':visible')===true) {
+    i.attr('src','ftv2folderclosed.png');
+    a.attr('src','ftv2pnode.png');
+    c.hide();
+  } else {
+    i.attr('src','ftv2folderopen.png');
+    a.attr('src','ftv2mnode.png');
+    c.show();
+  }
+  updateStripes();
+}
+
+function toggleInherit(id)
+{
+  var rows = $('tr.inherit.'+id);
+  var img = $('tr.inherit_header.'+id+' img');
+  var src = $(img).attr('src');
+  if (rows.filter(':first').is(':visible')===true) {
+    rows.css('display','none');
+    $(img).attr('src',src.substring(0,src.length-8)+'closed.png');
+  } else {
+    rows.css('display','table-row'); // using show() causes jump in firefox
+    $(img).attr('src',src.substring(0,src.length-10)+'open.png');
+  }
+}
+
diff --git a/Documentation/Core/html/ftv2blank.png b/Documentation/Core/html/ftv2blank.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/Core/html/ftv2blank.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2cl.png b/Documentation/Core/html/ftv2cl.png
new file mode 100644
index 0000000..edd2ddc
--- /dev/null
+++ b/Documentation/Core/html/ftv2cl.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2doc.png b/Documentation/Core/html/ftv2doc.png
new file mode 100644
index 0000000..57fab09
--- /dev/null
+++ b/Documentation/Core/html/ftv2doc.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2folderclosed.png b/Documentation/Core/html/ftv2folderclosed.png
new file mode 100644
index 0000000..23db980
--- /dev/null
+++ b/Documentation/Core/html/ftv2folderclosed.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2folderopen.png b/Documentation/Core/html/ftv2folderopen.png
new file mode 100644
index 0000000..e9bd9eb
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+++ b/Documentation/Core/html/ftv2folderopen.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2lastnode.png b/Documentation/Core/html/ftv2lastnode.png
new file mode 100644
index 0000000..63c605b
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+++ b/Documentation/Core/html/ftv2lastnode.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2link.png b/Documentation/Core/html/ftv2link.png
new file mode 100644
index 0000000..57fab09
--- /dev/null
+++ b/Documentation/Core/html/ftv2link.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2mlastnode.png b/Documentation/Core/html/ftv2mlastnode.png
new file mode 100644
index 0000000..40be5ae
--- /dev/null
+++ b/Documentation/Core/html/ftv2mlastnode.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2mnode.png b/Documentation/Core/html/ftv2mnode.png
new file mode 100644
index 0000000..40be5ae
--- /dev/null
+++ b/Documentation/Core/html/ftv2mnode.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2mo.png b/Documentation/Core/html/ftv2mo.png
new file mode 100644
index 0000000..7df39ae
--- /dev/null
+++ b/Documentation/Core/html/ftv2mo.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2node.png b/Documentation/Core/html/ftv2node.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/Core/html/ftv2node.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2ns.png b/Documentation/Core/html/ftv2ns.png
new file mode 100644
index 0000000..fc2e484
--- /dev/null
+++ b/Documentation/Core/html/ftv2ns.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2plastnode.png b/Documentation/Core/html/ftv2plastnode.png
new file mode 100644
index 0000000..687a9e1
--- /dev/null
+++ b/Documentation/Core/html/ftv2plastnode.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2pnode.png b/Documentation/Core/html/ftv2pnode.png
new file mode 100644
index 0000000..687a9e1
--- /dev/null
+++ b/Documentation/Core/html/ftv2pnode.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2splitbar.png b/Documentation/Core/html/ftv2splitbar.png
new file mode 100644
index 0000000..5e210e7
--- /dev/null
+++ b/Documentation/Core/html/ftv2splitbar.png
Binary files differ
diff --git a/Documentation/Core/html/ftv2vertline.png b/Documentation/Core/html/ftv2vertline.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/Core/html/ftv2vertline.png
Binary files differ
diff --git a/Documentation/Core/html/functions.html b/Documentation/Core/html/functions.html
new file mode 100644
index 0000000..a91ed5c
--- /dev/null
+++ b/Documentation/Core/html/functions.html
@@ -0,0 +1,627 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-CORE: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_a"><span>a</span></a></li>
+      <li><a href="#index_b"><span>b</span></a></li>
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_e"><span>e</span></a></li>
+      <li><a href="#index_f"><span>f</span></a></li>
+      <li><a href="#index_h"><span>h</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_q"><span>q</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_t"><span>t</span></a></li>
+      <li><a href="#index_u"><span>u</span></a></li>
+      <li><a href="#index_v"><span>v</span></a></li>
+      <li><a href="#index_w"><span>w</span></a></li>
+      <li><a href="#index_z"><span>z</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>_reserved0
+: <a class="el" href="union_a_p_s_r___type.html#afbce95646fd514c10aa85ec0a33db728">APSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#af8c314273a1e4970a5671bd7f8184f50">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#af438e0f407357e914a70b5bd4d6a97c5">xPSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#ad2eb0a06de4f03f58874a727716aa9aa">IPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>ACPR
+: <a class="el" href="struct_t_p_i___type.html#a9e5e4421ef9c3d5b7ff8b24abd4e99b3">TPI_Type</a>
+</li>
+<li>ACTLR
+: <a class="el" href="struct_s_cn_s_c_b___type.html#a13af9b718dde7481f1c0344f00593c23">SCnSCB_Type</a>
+</li>
+<li>ADR
+: <a class="el" href="struct_s_c_b___type.html#af084e1b2dad004a88668efea1dfe7fa1">SCB_Type</a>
+</li>
+<li>AFSR
+: <a class="el" href="struct_s_c_b___type.html#ab65372404ce64b0f0b35e2709429404e">SCB_Type</a>
+</li>
+<li>AIRCR
+: <a class="el" href="struct_s_c_b___type.html#ad3e5b8934c647eb1b7383c1894f01380">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>b
+: <a class="el" href="union_a_p_s_r___type.html#a7dbc79a057ded4b11ca5323fc2d5ab14">APSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#add0d6497bd50c25569ea22b48a03ec50">IPSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#adc6a38ab2980d0e9577b5a871da14eb9">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a3b1063bb5cdad67e037cba993b693b70">xPSR_Type</a>
+</li>
+<li>BFAR
+: <a class="el" href="struct_s_c_b___type.html#a3f8e7e58be4e41c88dfa78f54589271c">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>C
+: <a class="el" href="union_a_p_s_r___type.html#a86e2c5b891ecef1ab55b1edac0da79a6">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a40213a6b5620410cac83b0d89564609d">xPSR_Type</a>
+</li>
+<li>CALIB
+: <a class="el" href="struct_sys_tick___type.html#afcadb0c6d35b21cdc0018658a13942de">SysTick_Type</a>
+</li>
+<li>CCR
+: <a class="el" href="struct_s_c_b___type.html#a2d6653b0b70faac936046a02809b577f">SCB_Type</a>
+</li>
+<li>CFSR
+: <a class="el" href="struct_s_c_b___type.html#a0cda9e061b42373383418663092ad19a">SCB_Type</a>
+</li>
+<li>CLAIMCLR
+: <a class="el" href="struct_t_p_i___type.html#a0e10e292cb019a832b03ddd055b2f6ac">TPI_Type</a>
+</li>
+<li>CLAIMSET
+: <a class="el" href="struct_t_p_i___type.html#af8b7d15fa5252b733dd4b11fa1b5730a">TPI_Type</a>
+</li>
+<li>COMP0
+: <a class="el" href="struct_d_w_t___type.html#a61c2965af5bc0643f9af65620b0e67c9">DWT_Type</a>
+</li>
+<li>COMP1
+: <a class="el" href="struct_d_w_t___type.html#a38714af6b7fa7c64d68f5e1efbe7a931">DWT_Type</a>
+</li>
+<li>COMP2
+: <a class="el" href="struct_d_w_t___type.html#a5ae6dde39989f27bae90afc2347deb46">DWT_Type</a>
+</li>
+<li>COMP3
+: <a class="el" href="struct_d_w_t___type.html#a85eb73d1848ac3f82d39d6c3e8910847">DWT_Type</a>
+</li>
+<li>CPACR
+: <a class="el" href="struct_s_c_b___type.html#ac6a860c1b8d8154a1f00d99d23b67764">SCB_Type</a>
+</li>
+<li>CPICNT
+: <a class="el" href="struct_d_w_t___type.html#a2c08096c82abe245c0fa97badc458154">DWT_Type</a>
+</li>
+<li>CPUID
+: <a class="el" href="struct_s_c_b___type.html#a21e08d546d8b641bee298a459ea73e46">SCB_Type</a>
+</li>
+<li>CSPSR
+: <a class="el" href="struct_t_p_i___type.html#a8826aa84e5806053395a742d38d59d0f">TPI_Type</a>
+</li>
+<li>CTRL
+: <a class="el" href="struct_d_w_t___type.html#add790c53410023b3b581919bb681fe2a">DWT_Type</a>
+, <a class="el" href="struct_m_p_u___type.html#a4d81d6aa73a9287bafba2bcc5ffc6d18">MPU_Type</a>
+, <a class="el" href="struct_sys_tick___type.html#a875e7afa5c4fd43997fb544a4ac6e37e">SysTick_Type</a>
+</li>
+<li>CYCCNT
+: <a class="el" href="struct_d_w_t___type.html#a102eaa529d9098242851cb57c52b42d9">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>DCRDR
+: <a class="el" href="struct_core_debug___type.html#aab3cc92ef07bc1f04b3a3aa6db2c2d55">CoreDebug_Type</a>
+</li>
+<li>DCRSR
+: <a class="el" href="struct_core_debug___type.html#af907cf64577eaf927dac6787df6dd98b">CoreDebug_Type</a>
+</li>
+<li>DEMCR
+: <a class="el" href="struct_core_debug___type.html#aeb3126abc4c258a858f21f356c0df6ee">CoreDebug_Type</a>
+</li>
+<li>DEVID
+: <a class="el" href="struct_t_p_i___type.html#abc0ecda8a5446bc754080276bad77514">TPI_Type</a>
+</li>
+<li>DEVTYPE
+: <a class="el" href="struct_t_p_i___type.html#ad98855854a719bbea33061e71529a472">TPI_Type</a>
+</li>
+<li>DFR
+: <a class="el" href="struct_s_c_b___type.html#a85dd6fe77aab17e7ea89a52c59da6004">SCB_Type</a>
+</li>
+<li>DFSR
+: <a class="el" href="struct_s_c_b___type.html#a191579bde0d21ff51d30a714fd887033">SCB_Type</a>
+</li>
+<li>DHCSR
+: <a class="el" href="struct_core_debug___type.html#ad63554e4650da91a8e79929cbb63db66">CoreDebug_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>EXCCNT
+: <a class="el" href="struct_d_w_t___type.html#a9fe20c16c5167ca61486caf6832686d1">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>FFCR
+: <a class="el" href="struct_t_p_i___type.html#a3f68b6e73561b4849ebf953a894df8d2">TPI_Type</a>
+</li>
+<li>FFSR
+: <a class="el" href="struct_t_p_i___type.html#a6c47a0b4c7ffc66093ef993d36bb441c">TPI_Type</a>
+</li>
+<li>FIFO0
+: <a class="el" href="struct_t_p_i___type.html#aa4d7b5cf39dff9f53bf7f69bc287a814">TPI_Type</a>
+</li>
+<li>FIFO1
+: <a class="el" href="struct_t_p_i___type.html#a061372fcd72f1eea871e2d9c1be849bc">TPI_Type</a>
+</li>
+<li>FOLDCNT
+: <a class="el" href="struct_d_w_t___type.html#a1cfc48384ebd8fd8fb7e5d955aae6c97">DWT_Type</a>
+</li>
+<li>FPCA
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#ac62cfff08e6f055e0101785bad7094cd">CONTROL_Type</a>
+</li>
+<li>FPCAR
+: <a class="el" href="struct_f_p_u___type.html#a55263b468d0f8e11ac77aec9ff87c820">FPU_Type</a>
+</li>
+<li>FPCCR
+: <a class="el" href="struct_f_p_u___type.html#af1b708c5e413739150df3d16ca3b7061">FPU_Type</a>
+</li>
+<li>FPDSCR
+: <a class="el" href="struct_f_p_u___type.html#a58d1989664a06db6ec2e122eefa9f04a">FPU_Type</a>
+</li>
+<li>FSCR
+: <a class="el" href="struct_t_p_i___type.html#ad6901bfd8a0089ca7e8a20475cf494a8">TPI_Type</a>
+</li>
+<li>FUNCTION0
+: <a class="el" href="struct_d_w_t___type.html#a579ae082f58a0317b7ef029b20f52889">DWT_Type</a>
+</li>
+<li>FUNCTION1
+: <a class="el" href="struct_d_w_t___type.html#a8dfcf25675f9606aa305c46e85182e4e">DWT_Type</a>
+</li>
+<li>FUNCTION2
+: <a class="el" href="struct_d_w_t___type.html#ab1b60d6600c38abae515bab8e86a188f">DWT_Type</a>
+</li>
+<li>FUNCTION3
+: <a class="el" href="struct_d_w_t___type.html#a52d4ff278fae6f9216c63b74ce328841">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>HFSR
+: <a class="el" href="struct_s_c_b___type.html#a14ad254659362b9752c69afe3fd80934">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>IABR
+: <a class="el" href="struct_n_v_i_c___type.html#a4bca5452748ba84d64536fb6a5d795af">NVIC_Type</a>
+</li>
+<li>ICER
+: <a class="el" href="struct_n_v_i_c___type.html#a245df8bac1da05c39eadabede9323203">NVIC_Type</a>
+</li>
+<li>ICPR
+: <a class="el" href="struct_n_v_i_c___type.html#a8d8f45d9c5c67bba3c153c55574bac95">NVIC_Type</a>
+</li>
+<li>ICSR
+: <a class="el" href="struct_s_c_b___type.html#a0ca18ef984d132c6bf4d9b61cd00f05a">SCB_Type</a>
+</li>
+<li>ICTR
+: <a class="el" href="struct_s_cn_s_c_b___type.html#a34ec1d771245eb9bd0e3ec9336949762">SCnSCB_Type</a>
+</li>
+<li>IP
+: <a class="el" href="struct_n_v_i_c___type.html#a7ff7364a4260df67a2784811e8da4efd">NVIC_Type</a>
+</li>
+<li>ISAR
+: <a class="el" href="struct_s_c_b___type.html#ae0136a2d2d3c45f016b2c449e92b2066">SCB_Type</a>
+</li>
+<li>ISER
+: <a class="el" href="struct_n_v_i_c___type.html#a9fccef5a60a0d5e81fcd7869a6274f47">NVIC_Type</a>
+</li>
+<li>ISPR
+: <a class="el" href="struct_n_v_i_c___type.html#a8f731a9f428efc86e8d311b52ce823d0">NVIC_Type</a>
+</li>
+<li>ISR
+: <a class="el" href="union_i_p_s_r___type.html#ab46e5f1b2f4d17cfb9aca4fffcbb2fa5">IPSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a3e9120dcf1a829fc8d2302b4d0673970">xPSR_Type</a>
+</li>
+<li>IT
+: <a class="el" href="unionx_p_s_r___type.html#a3200966922a194d84425e2807a7f1328">xPSR_Type</a>
+</li>
+<li>ITATBCTR0
+: <a class="el" href="struct_t_p_i___type.html#aaa573b2e073e76e93c51ecec79c616d0">TPI_Type</a>
+</li>
+<li>ITATBCTR2
+: <a class="el" href="struct_t_p_i___type.html#ab358319b969d3fed0f89bbe33e9f1652">TPI_Type</a>
+</li>
+<li>ITCTRL
+: <a class="el" href="struct_t_p_i___type.html#aaa4c823c10f115f7517c82ef86a5a68d">TPI_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LOAD
+: <a class="el" href="struct_sys_tick___type.html#a4780a489256bb9f54d0ba8ed4de191cd">SysTick_Type</a>
+</li>
+<li>LSUCNT
+: <a class="el" href="struct_d_w_t___type.html#acc05d89bdb1b4fe2fa499920ec02d0b1">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>MASK0
+: <a class="el" href="struct_d_w_t___type.html#a821eb5e71f340ec077efc064cfc567db">DWT_Type</a>
+</li>
+<li>MASK1
+: <a class="el" href="struct_d_w_t___type.html#aabf94936c9340e62fed836dcfb152405">DWT_Type</a>
+</li>
+<li>MASK2
+: <a class="el" href="struct_d_w_t___type.html#a00ac4d830dfe0070a656cda9baed170f">DWT_Type</a>
+</li>
+<li>MASK3
+: <a class="el" href="struct_d_w_t___type.html#a2a509d8505c37a3b64f6b24993df5f3f">DWT_Type</a>
+</li>
+<li>MMFAR
+: <a class="el" href="struct_s_c_b___type.html#a2d03d0b7cec2254f39eb1c46c7445e80">SCB_Type</a>
+</li>
+<li>MMFR
+: <a class="el" href="struct_s_c_b___type.html#aa11887804412bda283cc85a83fdafa7c">SCB_Type</a>
+</li>
+<li>MVFR0
+: <a class="el" href="struct_f_p_u___type.html#a4f19014defe6033d070b80af19ef627c">FPU_Type</a>
+</li>
+<li>MVFR1
+: <a class="el" href="struct_f_p_u___type.html#a66f8cfa49a423b480001a4e101bf842d">FPU_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>N
+: <a class="el" href="union_a_p_s_r___type.html#a7e7bbba9b00b0bb3283dc07f1abe37e0">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a2db9a52f6d42809627d1a7a607c5dbc5">xPSR_Type</a>
+</li>
+<li>nPRIV
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#a35c1732cf153b7b5c4bd321cf1de9605">CONTROL_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>PCSR
+: <a class="el" href="struct_d_w_t___type.html#a6353ca1d1ad9bc1be05d3b5632960113">DWT_Type</a>
+</li>
+<li>PFR
+: <a class="el" href="struct_s_c_b___type.html#a681c9d9e518b217976bef38c2423d83d">SCB_Type</a>
+</li>
+<li>PORT
+: <a class="el" href="struct_i_t_m___type.html#af4c205be465780a20098387120bdb482">ITM_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>Q
+: <a class="el" href="union_a_p_s_r___type.html#a22d10913489d24ab08bd83457daa88de">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#add7cbd2b0abd8954d62cd7831796ac7c">xPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>RASR
+: <a class="el" href="struct_m_p_u___type.html#a9236c629b7cf86f8bd2459c610fdf715">MPU_Type</a>
+</li>
+<li>RASR_A1
+: <a class="el" href="struct_m_p_u___type.html#ab5a224ccd12ac55ddfe11d9eca42de48">MPU_Type</a>
+</li>
+<li>RASR_A2
+: <a class="el" href="struct_m_p_u___type.html#ac60e0919871b66446a039838bcaaec3b">MPU_Type</a>
+</li>
+<li>RASR_A3
+: <a class="el" href="struct_m_p_u___type.html#a9c0b2d3e3e16bb4e7dfa069652d5a155">MPU_Type</a>
+</li>
+<li>RBAR
+: <a class="el" href="struct_m_p_u___type.html#ac953770d38a7d322b971d93eb8a5b062">MPU_Type</a>
+</li>
+<li>RBAR_A1
+: <a class="el" href="struct_m_p_u___type.html#a13d69b9bea12861383f3a62764b02f63">MPU_Type</a>
+</li>
+<li>RBAR_A2
+: <a class="el" href="struct_m_p_u___type.html#a57dc551614932150e684fcc60590c2c4">MPU_Type</a>
+</li>
+<li>RBAR_A3
+: <a class="el" href="struct_m_p_u___type.html#a345911aabecd1f7d93a1bff7738b0d86">MPU_Type</a>
+</li>
+<li>RESERVED0
+: <a class="el" href="struct_n_v_i_c___type.html#a2de17698945ea49abd58a2d45bdc9c80">NVIC_Type</a>
+, <a class="el" href="struct_s_c_b___type.html#ac89a5d9901e3748d22a7090bfca2bee6">SCB_Type</a>
+, <a class="el" href="struct_s_cn_s_c_b___type.html#afe1d5fd2966d5062716613b05c8d0ae1">SCnSCB_Type</a>
+, <a class="el" href="struct_i_t_m___type.html#a2c5ae30385b5f370d023468ea9914c0e">ITM_Type</a>
+, <a class="el" href="struct_f_p_u___type.html#a7b2967b069046c8544adbbc1db143a36">FPU_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#addd893d655ed90d40705b20170daac59">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#af143c5e8fc9a3b2be2878e9c1f331aa9">TPI_Type</a>
+</li>
+<li>RESERVED1
+: <a class="el" href="struct_i_t_m___type.html#afffce5b93bbfedbaee85357d0b07ebce">ITM_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#a069871233a8c1df03521e6d7094f1de4">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#ac3956fe93987b725d89d3be32738da12">TPI_Type</a>
+</li>
+<li>RESERVED2
+: <a class="el" href="struct_i_t_m___type.html#af56b2f07bc6b42cd3e4d17e1b27cff7b">ITM_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#a8556ca1c32590517602d92fe0cd55738">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#ac7bbb92e6231b9b38ac483f7d161a096">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a0953af43af8ec7fd5869a1d826ce5b72">NVIC_Type</a>
+</li>
+<li>RESERVED3
+: <a class="el" href="struct_t_p_i___type.html#a31700c8cdd26e4c094db72af33d9f24c">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a9dd330835dbf21471e7b5be8692d77ab">NVIC_Type</a>
+</li>
+<li>RESERVED4
+: <a class="el" href="struct_n_v_i_c___type.html#a5c0e5d507ac3c1bd5cdaaf9bbd177790">NVIC_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#a684071216fafee4e80be6aaa932cec46">TPI_Type</a>
+</li>
+<li>RESERVED5
+: <a class="el" href="struct_t_p_i___type.html#a3f80dd93f6bab6524603a7aa58de9a30">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a4f753b4f824270175af045ac99bc12e8">NVIC_Type</a>
+</li>
+<li>RESERVED7
+: <a class="el" href="struct_t_p_i___type.html#a476ca23fbc9480f1697fbec871130550">TPI_Type</a>
+</li>
+<li>RNR
+: <a class="el" href="struct_m_p_u___type.html#aa800d44f4d3520cc891d7b8d711320c1">MPU_Type</a>
+</li>
+<li>RSERVED1
+: <a class="el" href="struct_n_v_i_c___type.html#a6d1daf7ab6f2ba83f57ff67ae6f571fe">NVIC_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SCR
+: <a class="el" href="struct_s_c_b___type.html#a3a4840c6fa4d1ee75544f4032c88ec34">SCB_Type</a>
+</li>
+<li>SHCSR
+: <a class="el" href="struct_s_c_b___type.html#a7b5ae9741a99808043394c4743b635c4">SCB_Type</a>
+</li>
+<li>SHP
+: <a class="el" href="struct_s_c_b___type.html#a85768f4b3dbbc41fd760041ee1202162">SCB_Type</a>
+</li>
+<li>SLEEPCNT
+: <a class="el" href="struct_d_w_t___type.html#a416a54e2084ce66e5ca74f152a5ecc70">DWT_Type</a>
+</li>
+<li>SPPR
+: <a class="el" href="struct_t_p_i___type.html#a12f79d4e3ddc69893ba8bff890d04cc5">TPI_Type</a>
+</li>
+<li>SPSEL
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#a8cc085fea1c50a8bd9adea63931ee8e2">CONTROL_Type</a>
+</li>
+<li>SSPSR
+: <a class="el" href="struct_t_p_i___type.html#a7b72598e20066133e505bb781690dc22">TPI_Type</a>
+</li>
+<li>STIR
+: <a class="el" href="struct_n_v_i_c___type.html#a37de89637466e007171c6b135299bc75">NVIC_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>T
+: <a class="el" href="unionx_p_s_r___type.html#a7eed9fe24ae8d354cd76ae1c1110a658">xPSR_Type</a>
+</li>
+<li>TCR
+: <a class="el" href="struct_i_t_m___type.html#a04b9fbc83759cb818dfa161d39628426">ITM_Type</a>
+</li>
+<li>TER
+: <a class="el" href="struct_i_t_m___type.html#acd03c6858f7b678dab6a6121462e7807">ITM_Type</a>
+</li>
+<li>TPR
+: <a class="el" href="struct_i_t_m___type.html#ae907229ba50538bf370fbdfd54c099a2">ITM_Type</a>
+</li>
+<li>TRIGGER
+: <a class="el" href="struct_t_p_i___type.html#a4d4cd2357f72333a82a1313228287bbd">TPI_Type</a>
+</li>
+<li>TYPE
+: <a class="el" href="struct_m_p_u___type.html#a0433efc1383674bc8e86cc0e830b462d">MPU_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
+<li>u16
+: <a class="el" href="struct_i_t_m___type.html#a962a970dfd286cad7f8a8577e87d4ad3">ITM_Type</a>
+</li>
+<li>u32
+: <a class="el" href="struct_i_t_m___type.html#a5834885903a557674f078f3b71fa8bc8">ITM_Type</a>
+</li>
+<li>u8
+: <a class="el" href="struct_i_t_m___type.html#ae773bf9f9dac64e6c28b14aa39f74275">ITM_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>V
+: <a class="el" href="union_a_p_s_r___type.html#a8004d224aacb78ca37774c35f9156e7e">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#af14df16ea0690070c45b95f2116b7a0a">xPSR_Type</a>
+</li>
+<li>VAL
+: <a class="el" href="struct_sys_tick___type.html#a9b5420d17e8e43104ddd4ae5a610af93">SysTick_Type</a>
+</li>
+<li>VTOR
+: <a class="el" href="struct_s_c_b___type.html#a187a4578e920544ed967f98020fb8170">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>w
+: <a class="el" href="union_a_p_s_r___type.html#ae4c2ef8c9430d7b7bef5cbfbbaed3a94">APSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#a6b642cca3d96da660b1198c133ca2a1f">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a1a47176768f45f79076c4f5b1b534bc2">xPSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#a4adca999d3a0bc1ae682d73ea7cfa879">IPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_z"></a>- z -</h3><ul>
+<li>Z
+: <a class="el" href="union_a_p_s_r___type.html#a3b04d58738b66a28ff13f23d8b0ba7e5">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a1e5d9801013d5146f2e02d9b7b3da562">xPSR_Type</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/functions_vars.html b/Documentation/Core/html/functions_vars.html
new file mode 100644
index 0000000..397d484
--- /dev/null
+++ b/Documentation/Core/html/functions_vars.html
@@ -0,0 +1,627 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-CORE: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <script type="text/javascript">
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+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
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+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_a"><span>a</span></a></li>
+      <li><a href="#index_b"><span>b</span></a></li>
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_e"><span>e</span></a></li>
+      <li><a href="#index_f"><span>f</span></a></li>
+      <li><a href="#index_h"><span>h</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_q"><span>q</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_t"><span>t</span></a></li>
+      <li><a href="#index_u"><span>u</span></a></li>
+      <li><a href="#index_v"><span>v</span></a></li>
+      <li><a href="#index_w"><span>w</span></a></li>
+      <li><a href="#index_z"><span>z</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
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+       class="ui-resizable-handle">
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+$(document).ready(function(){initNavTree('functions_vars.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>_reserved0
+: <a class="el" href="union_a_p_s_r___type.html#afbce95646fd514c10aa85ec0a33db728">APSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#af8c314273a1e4970a5671bd7f8184f50">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#af438e0f407357e914a70b5bd4d6a97c5">xPSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#ad2eb0a06de4f03f58874a727716aa9aa">IPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>ACPR
+: <a class="el" href="struct_t_p_i___type.html#a9e5e4421ef9c3d5b7ff8b24abd4e99b3">TPI_Type</a>
+</li>
+<li>ACTLR
+: <a class="el" href="struct_s_cn_s_c_b___type.html#a13af9b718dde7481f1c0344f00593c23">SCnSCB_Type</a>
+</li>
+<li>ADR
+: <a class="el" href="struct_s_c_b___type.html#af084e1b2dad004a88668efea1dfe7fa1">SCB_Type</a>
+</li>
+<li>AFSR
+: <a class="el" href="struct_s_c_b___type.html#ab65372404ce64b0f0b35e2709429404e">SCB_Type</a>
+</li>
+<li>AIRCR
+: <a class="el" href="struct_s_c_b___type.html#ad3e5b8934c647eb1b7383c1894f01380">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>b
+: <a class="el" href="union_a_p_s_r___type.html#a7dbc79a057ded4b11ca5323fc2d5ab14">APSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#add0d6497bd50c25569ea22b48a03ec50">IPSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#adc6a38ab2980d0e9577b5a871da14eb9">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a3b1063bb5cdad67e037cba993b693b70">xPSR_Type</a>
+</li>
+<li>BFAR
+: <a class="el" href="struct_s_c_b___type.html#a3f8e7e58be4e41c88dfa78f54589271c">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>C
+: <a class="el" href="union_a_p_s_r___type.html#a86e2c5b891ecef1ab55b1edac0da79a6">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a40213a6b5620410cac83b0d89564609d">xPSR_Type</a>
+</li>
+<li>CALIB
+: <a class="el" href="struct_sys_tick___type.html#afcadb0c6d35b21cdc0018658a13942de">SysTick_Type</a>
+</li>
+<li>CCR
+: <a class="el" href="struct_s_c_b___type.html#a2d6653b0b70faac936046a02809b577f">SCB_Type</a>
+</li>
+<li>CFSR
+: <a class="el" href="struct_s_c_b___type.html#a0cda9e061b42373383418663092ad19a">SCB_Type</a>
+</li>
+<li>CLAIMCLR
+: <a class="el" href="struct_t_p_i___type.html#a0e10e292cb019a832b03ddd055b2f6ac">TPI_Type</a>
+</li>
+<li>CLAIMSET
+: <a class="el" href="struct_t_p_i___type.html#af8b7d15fa5252b733dd4b11fa1b5730a">TPI_Type</a>
+</li>
+<li>COMP0
+: <a class="el" href="struct_d_w_t___type.html#a61c2965af5bc0643f9af65620b0e67c9">DWT_Type</a>
+</li>
+<li>COMP1
+: <a class="el" href="struct_d_w_t___type.html#a38714af6b7fa7c64d68f5e1efbe7a931">DWT_Type</a>
+</li>
+<li>COMP2
+: <a class="el" href="struct_d_w_t___type.html#a5ae6dde39989f27bae90afc2347deb46">DWT_Type</a>
+</li>
+<li>COMP3
+: <a class="el" href="struct_d_w_t___type.html#a85eb73d1848ac3f82d39d6c3e8910847">DWT_Type</a>
+</li>
+<li>CPACR
+: <a class="el" href="struct_s_c_b___type.html#ac6a860c1b8d8154a1f00d99d23b67764">SCB_Type</a>
+</li>
+<li>CPICNT
+: <a class="el" href="struct_d_w_t___type.html#a2c08096c82abe245c0fa97badc458154">DWT_Type</a>
+</li>
+<li>CPUID
+: <a class="el" href="struct_s_c_b___type.html#a21e08d546d8b641bee298a459ea73e46">SCB_Type</a>
+</li>
+<li>CSPSR
+: <a class="el" href="struct_t_p_i___type.html#a8826aa84e5806053395a742d38d59d0f">TPI_Type</a>
+</li>
+<li>CTRL
+: <a class="el" href="struct_d_w_t___type.html#add790c53410023b3b581919bb681fe2a">DWT_Type</a>
+, <a class="el" href="struct_m_p_u___type.html#a4d81d6aa73a9287bafba2bcc5ffc6d18">MPU_Type</a>
+, <a class="el" href="struct_sys_tick___type.html#a875e7afa5c4fd43997fb544a4ac6e37e">SysTick_Type</a>
+</li>
+<li>CYCCNT
+: <a class="el" href="struct_d_w_t___type.html#a102eaa529d9098242851cb57c52b42d9">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>DCRDR
+: <a class="el" href="struct_core_debug___type.html#aab3cc92ef07bc1f04b3a3aa6db2c2d55">CoreDebug_Type</a>
+</li>
+<li>DCRSR
+: <a class="el" href="struct_core_debug___type.html#af907cf64577eaf927dac6787df6dd98b">CoreDebug_Type</a>
+</li>
+<li>DEMCR
+: <a class="el" href="struct_core_debug___type.html#aeb3126abc4c258a858f21f356c0df6ee">CoreDebug_Type</a>
+</li>
+<li>DEVID
+: <a class="el" href="struct_t_p_i___type.html#abc0ecda8a5446bc754080276bad77514">TPI_Type</a>
+</li>
+<li>DEVTYPE
+: <a class="el" href="struct_t_p_i___type.html#ad98855854a719bbea33061e71529a472">TPI_Type</a>
+</li>
+<li>DFR
+: <a class="el" href="struct_s_c_b___type.html#a85dd6fe77aab17e7ea89a52c59da6004">SCB_Type</a>
+</li>
+<li>DFSR
+: <a class="el" href="struct_s_c_b___type.html#a191579bde0d21ff51d30a714fd887033">SCB_Type</a>
+</li>
+<li>DHCSR
+: <a class="el" href="struct_core_debug___type.html#ad63554e4650da91a8e79929cbb63db66">CoreDebug_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>EXCCNT
+: <a class="el" href="struct_d_w_t___type.html#a9fe20c16c5167ca61486caf6832686d1">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>FFCR
+: <a class="el" href="struct_t_p_i___type.html#a3f68b6e73561b4849ebf953a894df8d2">TPI_Type</a>
+</li>
+<li>FFSR
+: <a class="el" href="struct_t_p_i___type.html#a6c47a0b4c7ffc66093ef993d36bb441c">TPI_Type</a>
+</li>
+<li>FIFO0
+: <a class="el" href="struct_t_p_i___type.html#aa4d7b5cf39dff9f53bf7f69bc287a814">TPI_Type</a>
+</li>
+<li>FIFO1
+: <a class="el" href="struct_t_p_i___type.html#a061372fcd72f1eea871e2d9c1be849bc">TPI_Type</a>
+</li>
+<li>FOLDCNT
+: <a class="el" href="struct_d_w_t___type.html#a1cfc48384ebd8fd8fb7e5d955aae6c97">DWT_Type</a>
+</li>
+<li>FPCA
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#ac62cfff08e6f055e0101785bad7094cd">CONTROL_Type</a>
+</li>
+<li>FPCAR
+: <a class="el" href="struct_f_p_u___type.html#a55263b468d0f8e11ac77aec9ff87c820">FPU_Type</a>
+</li>
+<li>FPCCR
+: <a class="el" href="struct_f_p_u___type.html#af1b708c5e413739150df3d16ca3b7061">FPU_Type</a>
+</li>
+<li>FPDSCR
+: <a class="el" href="struct_f_p_u___type.html#a58d1989664a06db6ec2e122eefa9f04a">FPU_Type</a>
+</li>
+<li>FSCR
+: <a class="el" href="struct_t_p_i___type.html#ad6901bfd8a0089ca7e8a20475cf494a8">TPI_Type</a>
+</li>
+<li>FUNCTION0
+: <a class="el" href="struct_d_w_t___type.html#a579ae082f58a0317b7ef029b20f52889">DWT_Type</a>
+</li>
+<li>FUNCTION1
+: <a class="el" href="struct_d_w_t___type.html#a8dfcf25675f9606aa305c46e85182e4e">DWT_Type</a>
+</li>
+<li>FUNCTION2
+: <a class="el" href="struct_d_w_t___type.html#ab1b60d6600c38abae515bab8e86a188f">DWT_Type</a>
+</li>
+<li>FUNCTION3
+: <a class="el" href="struct_d_w_t___type.html#a52d4ff278fae6f9216c63b74ce328841">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>HFSR
+: <a class="el" href="struct_s_c_b___type.html#a14ad254659362b9752c69afe3fd80934">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>IABR
+: <a class="el" href="struct_n_v_i_c___type.html#a4bca5452748ba84d64536fb6a5d795af">NVIC_Type</a>
+</li>
+<li>ICER
+: <a class="el" href="struct_n_v_i_c___type.html#a245df8bac1da05c39eadabede9323203">NVIC_Type</a>
+</li>
+<li>ICPR
+: <a class="el" href="struct_n_v_i_c___type.html#a8d8f45d9c5c67bba3c153c55574bac95">NVIC_Type</a>
+</li>
+<li>ICSR
+: <a class="el" href="struct_s_c_b___type.html#a0ca18ef984d132c6bf4d9b61cd00f05a">SCB_Type</a>
+</li>
+<li>ICTR
+: <a class="el" href="struct_s_cn_s_c_b___type.html#a34ec1d771245eb9bd0e3ec9336949762">SCnSCB_Type</a>
+</li>
+<li>IP
+: <a class="el" href="struct_n_v_i_c___type.html#a7ff7364a4260df67a2784811e8da4efd">NVIC_Type</a>
+</li>
+<li>ISAR
+: <a class="el" href="struct_s_c_b___type.html#ae0136a2d2d3c45f016b2c449e92b2066">SCB_Type</a>
+</li>
+<li>ISER
+: <a class="el" href="struct_n_v_i_c___type.html#a9fccef5a60a0d5e81fcd7869a6274f47">NVIC_Type</a>
+</li>
+<li>ISPR
+: <a class="el" href="struct_n_v_i_c___type.html#a8f731a9f428efc86e8d311b52ce823d0">NVIC_Type</a>
+</li>
+<li>ISR
+: <a class="el" href="union_i_p_s_r___type.html#ab46e5f1b2f4d17cfb9aca4fffcbb2fa5">IPSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a3e9120dcf1a829fc8d2302b4d0673970">xPSR_Type</a>
+</li>
+<li>IT
+: <a class="el" href="unionx_p_s_r___type.html#a3200966922a194d84425e2807a7f1328">xPSR_Type</a>
+</li>
+<li>ITATBCTR0
+: <a class="el" href="struct_t_p_i___type.html#aaa573b2e073e76e93c51ecec79c616d0">TPI_Type</a>
+</li>
+<li>ITATBCTR2
+: <a class="el" href="struct_t_p_i___type.html#ab358319b969d3fed0f89bbe33e9f1652">TPI_Type</a>
+</li>
+<li>ITCTRL
+: <a class="el" href="struct_t_p_i___type.html#aaa4c823c10f115f7517c82ef86a5a68d">TPI_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LOAD
+: <a class="el" href="struct_sys_tick___type.html#a4780a489256bb9f54d0ba8ed4de191cd">SysTick_Type</a>
+</li>
+<li>LSUCNT
+: <a class="el" href="struct_d_w_t___type.html#acc05d89bdb1b4fe2fa499920ec02d0b1">DWT_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>MASK0
+: <a class="el" href="struct_d_w_t___type.html#a821eb5e71f340ec077efc064cfc567db">DWT_Type</a>
+</li>
+<li>MASK1
+: <a class="el" href="struct_d_w_t___type.html#aabf94936c9340e62fed836dcfb152405">DWT_Type</a>
+</li>
+<li>MASK2
+: <a class="el" href="struct_d_w_t___type.html#a00ac4d830dfe0070a656cda9baed170f">DWT_Type</a>
+</li>
+<li>MASK3
+: <a class="el" href="struct_d_w_t___type.html#a2a509d8505c37a3b64f6b24993df5f3f">DWT_Type</a>
+</li>
+<li>MMFAR
+: <a class="el" href="struct_s_c_b___type.html#a2d03d0b7cec2254f39eb1c46c7445e80">SCB_Type</a>
+</li>
+<li>MMFR
+: <a class="el" href="struct_s_c_b___type.html#aa11887804412bda283cc85a83fdafa7c">SCB_Type</a>
+</li>
+<li>MVFR0
+: <a class="el" href="struct_f_p_u___type.html#a4f19014defe6033d070b80af19ef627c">FPU_Type</a>
+</li>
+<li>MVFR1
+: <a class="el" href="struct_f_p_u___type.html#a66f8cfa49a423b480001a4e101bf842d">FPU_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>N
+: <a class="el" href="union_a_p_s_r___type.html#a7e7bbba9b00b0bb3283dc07f1abe37e0">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a2db9a52f6d42809627d1a7a607c5dbc5">xPSR_Type</a>
+</li>
+<li>nPRIV
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#a35c1732cf153b7b5c4bd321cf1de9605">CONTROL_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>PCSR
+: <a class="el" href="struct_d_w_t___type.html#a6353ca1d1ad9bc1be05d3b5632960113">DWT_Type</a>
+</li>
+<li>PFR
+: <a class="el" href="struct_s_c_b___type.html#a681c9d9e518b217976bef38c2423d83d">SCB_Type</a>
+</li>
+<li>PORT
+: <a class="el" href="struct_i_t_m___type.html#af4c205be465780a20098387120bdb482">ITM_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>Q
+: <a class="el" href="union_a_p_s_r___type.html#a22d10913489d24ab08bd83457daa88de">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#add7cbd2b0abd8954d62cd7831796ac7c">xPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>RASR
+: <a class="el" href="struct_m_p_u___type.html#a9236c629b7cf86f8bd2459c610fdf715">MPU_Type</a>
+</li>
+<li>RASR_A1
+: <a class="el" href="struct_m_p_u___type.html#ab5a224ccd12ac55ddfe11d9eca42de48">MPU_Type</a>
+</li>
+<li>RASR_A2
+: <a class="el" href="struct_m_p_u___type.html#ac60e0919871b66446a039838bcaaec3b">MPU_Type</a>
+</li>
+<li>RASR_A3
+: <a class="el" href="struct_m_p_u___type.html#a9c0b2d3e3e16bb4e7dfa069652d5a155">MPU_Type</a>
+</li>
+<li>RBAR
+: <a class="el" href="struct_m_p_u___type.html#ac953770d38a7d322b971d93eb8a5b062">MPU_Type</a>
+</li>
+<li>RBAR_A1
+: <a class="el" href="struct_m_p_u___type.html#a13d69b9bea12861383f3a62764b02f63">MPU_Type</a>
+</li>
+<li>RBAR_A2
+: <a class="el" href="struct_m_p_u___type.html#a57dc551614932150e684fcc60590c2c4">MPU_Type</a>
+</li>
+<li>RBAR_A3
+: <a class="el" href="struct_m_p_u___type.html#a345911aabecd1f7d93a1bff7738b0d86">MPU_Type</a>
+</li>
+<li>RESERVED0
+: <a class="el" href="struct_n_v_i_c___type.html#a2de17698945ea49abd58a2d45bdc9c80">NVIC_Type</a>
+, <a class="el" href="struct_s_c_b___type.html#ac89a5d9901e3748d22a7090bfca2bee6">SCB_Type</a>
+, <a class="el" href="struct_s_cn_s_c_b___type.html#afe1d5fd2966d5062716613b05c8d0ae1">SCnSCB_Type</a>
+, <a class="el" href="struct_i_t_m___type.html#a2c5ae30385b5f370d023468ea9914c0e">ITM_Type</a>
+, <a class="el" href="struct_f_p_u___type.html#a7b2967b069046c8544adbbc1db143a36">FPU_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#addd893d655ed90d40705b20170daac59">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#af143c5e8fc9a3b2be2878e9c1f331aa9">TPI_Type</a>
+</li>
+<li>RESERVED1
+: <a class="el" href="struct_i_t_m___type.html#afffce5b93bbfedbaee85357d0b07ebce">ITM_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#a069871233a8c1df03521e6d7094f1de4">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#ac3956fe93987b725d89d3be32738da12">TPI_Type</a>
+</li>
+<li>RESERVED2
+: <a class="el" href="struct_i_t_m___type.html#af56b2f07bc6b42cd3e4d17e1b27cff7b">ITM_Type</a>
+, <a class="el" href="struct_d_w_t___type.html#a8556ca1c32590517602d92fe0cd55738">DWT_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#ac7bbb92e6231b9b38ac483f7d161a096">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a0953af43af8ec7fd5869a1d826ce5b72">NVIC_Type</a>
+</li>
+<li>RESERVED3
+: <a class="el" href="struct_t_p_i___type.html#a31700c8cdd26e4c094db72af33d9f24c">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a9dd330835dbf21471e7b5be8692d77ab">NVIC_Type</a>
+</li>
+<li>RESERVED4
+: <a class="el" href="struct_n_v_i_c___type.html#a5c0e5d507ac3c1bd5cdaaf9bbd177790">NVIC_Type</a>
+, <a class="el" href="struct_t_p_i___type.html#a684071216fafee4e80be6aaa932cec46">TPI_Type</a>
+</li>
+<li>RESERVED5
+: <a class="el" href="struct_t_p_i___type.html#a3f80dd93f6bab6524603a7aa58de9a30">TPI_Type</a>
+, <a class="el" href="struct_n_v_i_c___type.html#a4f753b4f824270175af045ac99bc12e8">NVIC_Type</a>
+</li>
+<li>RESERVED7
+: <a class="el" href="struct_t_p_i___type.html#a476ca23fbc9480f1697fbec871130550">TPI_Type</a>
+</li>
+<li>RNR
+: <a class="el" href="struct_m_p_u___type.html#aa800d44f4d3520cc891d7b8d711320c1">MPU_Type</a>
+</li>
+<li>RSERVED1
+: <a class="el" href="struct_n_v_i_c___type.html#a6d1daf7ab6f2ba83f57ff67ae6f571fe">NVIC_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SCR
+: <a class="el" href="struct_s_c_b___type.html#a3a4840c6fa4d1ee75544f4032c88ec34">SCB_Type</a>
+</li>
+<li>SHCSR
+: <a class="el" href="struct_s_c_b___type.html#a7b5ae9741a99808043394c4743b635c4">SCB_Type</a>
+</li>
+<li>SHP
+: <a class="el" href="struct_s_c_b___type.html#a85768f4b3dbbc41fd760041ee1202162">SCB_Type</a>
+</li>
+<li>SLEEPCNT
+: <a class="el" href="struct_d_w_t___type.html#a416a54e2084ce66e5ca74f152a5ecc70">DWT_Type</a>
+</li>
+<li>SPPR
+: <a class="el" href="struct_t_p_i___type.html#a12f79d4e3ddc69893ba8bff890d04cc5">TPI_Type</a>
+</li>
+<li>SPSEL
+: <a class="el" href="union_c_o_n_t_r_o_l___type.html#a8cc085fea1c50a8bd9adea63931ee8e2">CONTROL_Type</a>
+</li>
+<li>SSPSR
+: <a class="el" href="struct_t_p_i___type.html#a7b72598e20066133e505bb781690dc22">TPI_Type</a>
+</li>
+<li>STIR
+: <a class="el" href="struct_n_v_i_c___type.html#a37de89637466e007171c6b135299bc75">NVIC_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>T
+: <a class="el" href="unionx_p_s_r___type.html#a7eed9fe24ae8d354cd76ae1c1110a658">xPSR_Type</a>
+</li>
+<li>TCR
+: <a class="el" href="struct_i_t_m___type.html#a04b9fbc83759cb818dfa161d39628426">ITM_Type</a>
+</li>
+<li>TER
+: <a class="el" href="struct_i_t_m___type.html#acd03c6858f7b678dab6a6121462e7807">ITM_Type</a>
+</li>
+<li>TPR
+: <a class="el" href="struct_i_t_m___type.html#ae907229ba50538bf370fbdfd54c099a2">ITM_Type</a>
+</li>
+<li>TRIGGER
+: <a class="el" href="struct_t_p_i___type.html#a4d4cd2357f72333a82a1313228287bbd">TPI_Type</a>
+</li>
+<li>TYPE
+: <a class="el" href="struct_m_p_u___type.html#a0433efc1383674bc8e86cc0e830b462d">MPU_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
+<li>u16
+: <a class="el" href="struct_i_t_m___type.html#a962a970dfd286cad7f8a8577e87d4ad3">ITM_Type</a>
+</li>
+<li>u32
+: <a class="el" href="struct_i_t_m___type.html#a5834885903a557674f078f3b71fa8bc8">ITM_Type</a>
+</li>
+<li>u8
+: <a class="el" href="struct_i_t_m___type.html#ae773bf9f9dac64e6c28b14aa39f74275">ITM_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>V
+: <a class="el" href="union_a_p_s_r___type.html#a8004d224aacb78ca37774c35f9156e7e">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#af14df16ea0690070c45b95f2116b7a0a">xPSR_Type</a>
+</li>
+<li>VAL
+: <a class="el" href="struct_sys_tick___type.html#a9b5420d17e8e43104ddd4ae5a610af93">SysTick_Type</a>
+</li>
+<li>VTOR
+: <a class="el" href="struct_s_c_b___type.html#a187a4578e920544ed967f98020fb8170">SCB_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>w
+: <a class="el" href="union_a_p_s_r___type.html#ae4c2ef8c9430d7b7bef5cbfbbaed3a94">APSR_Type</a>
+, <a class="el" href="union_c_o_n_t_r_o_l___type.html#a6b642cca3d96da660b1198c133ca2a1f">CONTROL_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a1a47176768f45f79076c4f5b1b534bc2">xPSR_Type</a>
+, <a class="el" href="union_i_p_s_r___type.html#a4adca999d3a0bc1ae682d73ea7cfa879">IPSR_Type</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_z"></a>- z -</h3><ul>
+<li>Z
+: <a class="el" href="union_a_p_s_r___type.html#a3b04d58738b66a28ff13f23d8b0ba7e5">APSR_Type</a>
+, <a class="el" href="unionx_p_s_r___type.html#a1e5d9801013d5146f2e02d9b7b3da562">xPSR_Type</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals.html b/Documentation/Core/html/globals.html
new file mode 100644
index 0000000..e00ba64
--- /dev/null
+++ b/Documentation/Core/html/globals.html
@@ -0,0 +1,676 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_b"><span>b</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_h"><span>h</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_u"><span>u</span></a></li>
+      <li><a href="#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>__BKPT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga92f5621626711931da71eaa8bf301af7">Ref_cmInstr.txt</a>
+</li>
+<li>__CLREX()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga354c5ac8870cc3dfb823367af9c4b412">Ref_cmInstr.txt</a>
+</li>
+<li>__CLZ()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga90884c591ac5d73d6069334eba9d6c02">Ref_cmInstr.txt</a>
+</li>
+<li>__disable_fault_irq()
+: <a class="el" href="group___core___register__gr.html#ga9d174f979b2f76fdb3228a9b338fd939">Ref_CoreReg.txt</a>
+</li>
+<li>__disable_irq()
+: <a class="el" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013">Ref_CoreReg.txt</a>
+</li>
+<li>__DMB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gab1c9b393641dc2d397b3408fdbe72b96">Ref_cmInstr.txt</a>
+</li>
+<li>__DSB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gacb2a8ca6eae1ba4b31161578b720c199">Ref_cmInstr.txt</a>
+</li>
+<li>__enable_fault_irq()
+: <a class="el" href="group___core___register__gr.html#ga6575d37863cec5d334864f93b5b783bf">Ref_CoreReg.txt</a>
+</li>
+<li>__enable_irq()
+: <a class="el" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27">Ref_CoreReg.txt</a>
+</li>
+<li>__get_APSR()
+: <a class="el" href="group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7">Ref_CoreReg.txt</a>
+</li>
+<li>__get_BASEPRI()
+: <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667">Ref_CoreReg.txt</a>
+</li>
+<li>__get_CONTROL()
+: <a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7">Ref_CoreReg.txt</a>
+</li>
+<li>__get_FAULTMASK()
+: <a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8">Ref_CoreReg.txt</a>
+</li>
+<li>__get_FPSCR()
+: <a class="el" href="group___core___register__gr.html#gad6d7eca9ddd1d9072dd7b020cfe64905">Ref_CoreReg.txt</a>
+</li>
+<li>__get_IPSR()
+: <a class="el" href="group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8">Ref_CoreReg.txt</a>
+</li>
+<li>__get_MSP()
+: <a class="el" href="group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2">Ref_CoreReg.txt</a>
+</li>
+<li>__get_PRIMASK()
+: <a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02">Ref_CoreReg.txt</a>
+</li>
+<li>__get_PSP()
+: <a class="el" href="group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9">Ref_CoreReg.txt</a>
+</li>
+<li>__get_xPSR()
+: <a class="el" href="group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd">Ref_CoreReg.txt</a>
+</li>
+<li>__ISB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga93c09b4709394d81977300d5f84950e5">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRBT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9464d75db32846aa8295c3c3adfacb41">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9e3ac13d8dcf4331176b624cf6234a7e">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9feffc093d6f68b120d592a7a0d45a15">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXW()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gabd78840a0f2464905b7cec791ebc6a4c">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRHT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaa762b8bc5634ce38cb14d62a6b2aee32">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga616504f5da979ba8a073d428d6e8d5c7">Ref_cmInstr.txt</a>
+</li>
+<li>__NOP()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gac71fad9f0a91980fecafcb450ee0a63e">Ref_cmInstr.txt</a>
+</li>
+<li>__PKHBT()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaefb8ebf3a54e197464da1ff69a44f4b5">Ref_cm4_simd.txt</a>
+</li>
+<li>__PKHTB()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafd8fe4a6d87e947caa81a69ec36c1666">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga17b873f246c9f5e9355760ffef3dad4a">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae83a53ec04b496304bed6d9fe8f7461b">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf2f5a9132dcfc6d01d34cd971c425713">Ref_cm4_simd.txt</a>
+</li>
+<li>__QASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga87618799672e1511e33964bc71467eb3">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab41eb2b17512ab01d476fc9d5bd19520">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga3ba259f8f05a36f7b88b469a71ffc096">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad089605c16df9823a2c8aaa37777aae5">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga753493a65493880c28baa82c151a0d61">Ref_cm4_simd.txt</a>
+</li>
+<li>__RBIT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad6f9f297f6b91a995ee199fbc796b863">Ref_cmInstr.txt</a>
+</li>
+<li>__REV()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga4717abc17af5ba29b1e4c055e0a0d9b8">Ref_cmInstr.txt</a>
+</li>
+<li>__REV16()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaeef6f853b6df3a365c838ee5b49a7a26">Ref_cmInstr.txt</a>
+</li>
+<li>__REVSH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga1ec006e6d79063363cb0c2a2e0b3adbe">Ref_cmInstr.txt</a>
+</li>
+<li>__ROR()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaf66beb577bb9d90424c3d1d7f684c024">Ref_cmInstr.txt</a>
+</li>
+<li>__RRX()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gac09134f1bf9c49db07282001afcc9380">Ref_cmInstr.txt</a>
+</li>
+<li>__SADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad0bf46373a1c05aabf64517e84be5984">Ref_cm4_simd.txt</a>
+</li>
+<li>__SADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac20aa0f741d0a1494d58c531e38d5785">Ref_cm4_simd.txt</a>
+</li>
+<li>__SASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5845084fd99c872e98cf5553d554de2a">Ref_cm4_simd.txt</a>
+</li>
+<li>__SEL()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf5448e591fe49161b6759b48aecb08fe">Ref_cm4_simd.txt</a>
+</li>
+<li>__set_BASEPRI()
+: <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">Ref_CoreReg.txt</a>
+</li>
+<li>__set_BASEPRI_MAX()
+: <a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9">Ref_CoreReg.txt</a>
+</li>
+<li>__set_CONTROL()
+: <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c">Ref_CoreReg.txt</a>
+</li>
+<li>__set_FAULTMASK()
+: <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a">Ref_CoreReg.txt</a>
+</li>
+<li>__set_FPSCR()
+: <a class="el" href="group___core___register__gr.html#ga6f26bd75ca7e3247f27b272acc10536b">Ref_CoreReg.txt</a>
+</li>
+<li>__set_MSP()
+: <a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4">Ref_CoreReg.txt</a>
+</li>
+<li>__set_PRIMASK()
+: <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f">Ref_CoreReg.txt</a>
+</li>
+<li>__set_PSP()
+: <a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743">Ref_CoreReg.txt</a>
+</li>
+<li>__SEV()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga3c34da7eb16496ae2668a5b95fa441e7">Ref_cmInstr.txt</a>
+</li>
+<li>__SHADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga15d8899a173effb8ad8c7268da32b60e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga524575b442ea01aec10c762bf4d85fea">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae0a649035f67627464fd80e7218c89d5">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafadbd89c36b5addcf1ca10dd392db3e9">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga31328467f0f91b8ff9ae9a01682ad3bf">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac3ec7215b354d925a239f3b31df2b77b">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLAD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae0c86f3298532183f3a29f5bb454d354">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLADX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9c286d330f4fb29b256335add91eec9f">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLALD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad80e9b20c1736fd798f897362273a146">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLALDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad1adad1b3f2667328cc0db6c6b4f41cf">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf4350af7f2030c36f43b2c104a9d16cd">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5290ce5564770ad124910d2583dc0a9e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSLD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5611f7314e0c8f53da377918dfbf42ee">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSLDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga83e69ef81057d3cbd06863d729385187">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMMLA()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaea60757232f740ec6b09980eebb614ff">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUAD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae326e368a1624d2dfb4b97c626939257">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUADX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaee6390f86965cb662500f690b0012092">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUSD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga039142a5368840683cf329cb55b73f84">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUSDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gabb5bcba694bf17b141c32e6a8474f60e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSAT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga7d9dddda18805abbf51ac21c639845e1">Ref_cmInstr.txt</a>
+</li>
+<li>__SSAT16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga95e666b82216066bf6064d1244e6883c">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9d3bc5c539f9bd50f7d59ffa37ac6a65">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga4262f73be75efbac6b46ab7c71aa6cbc">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaba63bb52e1e93fb527e26f3d474da12e">Ref_cm4_simd.txt</a>
+</li>
+<li>__STRBT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad41aa59c92c0a165b7f98428d3320cd5">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaab6482d1f59f59e2b6b7efc1af391c99">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga0a354bdf71caa52f081a4a54e84c8d2a">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXW()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga335deaaa7991490e1450cb7d1e4c5197">Ref_cmInstr.txt</a>
+</li>
+<li>__STRHT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga2b5d93b8e461755b1072a03df3f1722e">Ref_cmInstr.txt</a>
+</li>
+<li>__STRT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga625bc4ac0b1d50de9bcd13d9f050030e">Ref_cmInstr.txt</a>
+</li>
+<li>__SXTAB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac540b4fc41d30778ba102d2a65db5589">Ref_cm4_simd.txt</a>
+</li>
+<li>__SXTB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga38dce3dd13ba212e80ec3cff4abeb11a">Ref_cm4_simd.txt</a>
+</li>
+<li>__UADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaa1160f0cf76d6aa292fbad54a1aa6b74">Ref_cm4_simd.txt</a>
+</li>
+<li>__UADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab3d7fd00d113b20fb3741a17394da762">Ref_cm4_simd.txt</a>
+</li>
+<li>__UASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga980353d2c72ebb879282e49f592fddc0">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gabd0b0e2da2e6364e176d051687702b86">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga3a14e5485e59bf0f23595b7c2a94eb0b">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga028f0732b961fb6e5209326fb3855261">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga09e129e6613329aab87c89f1108b7ed7">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga1f7545b8dc33bb97982731cb9d427a69">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga48a55df1c3e73923b73819d7c19b392d">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9e2cc5117e79578a08b25f1e89022966">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafa9af218db3934a692fb06fa728d8031">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5eff3ae5eabcd73f3049996ca391becb">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gadecfdfabc328d8939d49d996f2fd4482">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5ec4e2e231d15e5c692233feb3806187">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9736fe816aec74fe886e7fb949734eab">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac8855c07044239ea775c8128013204f0">Ref_cm4_simd.txt</a>
+</li>
+<li>__USADA8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad032bd21f013c5d29f5fcb6b0f02bc3f">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga76bbe4374a5912362866cdc1ded4064a">Ref_cmInstr.txt</a>
+</li>
+<li>__USAT16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga967f516afff5900cf30f1a81907cdd89">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga578a082747436772c482c96d7a58e45e">Ref_cm4_simd.txt</a>
+</li>
+<li>__USUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9f2b77e11fc4a77b26c36c423ed45b4e">Ref_cm4_simd.txt</a>
+</li>
+<li>__USUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gacb7257dc3b8e9acbd0ef0e31ff87d4b8">Ref_cm4_simd.txt</a>
+</li>
+<li>__UXTAB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad25ce96db0f17096bbd815f4817faf09">Ref_cm4_simd.txt</a>
+</li>
+<li>__UXTB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab41d713653b16f8d9fef44d14e397228">Ref_cm4_simd.txt</a>
+</li>
+<li>__WFE()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad3efec76c3bfa2b8528ded530386c563">Ref_cmInstr.txt</a>
+</li>
+<li>__WFI()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaed91dfbf3d7d7b7fba8d912fcbeaad88">Ref_cmInstr.txt</a>
+</li>
+<li>_FLD2VAL
+: <a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444">Ref_Peripheral.txt</a>
+</li>
+<li>_VAL2FLD
+: <a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e">Ref_Peripheral.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>BusFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8693500eff174f16119e96234fee73af">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>DebugMonitor_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8e033fcef7aed98a31c60a7de206722c">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>HardFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ab1a222a34a32f0ef5ac65e714efc1f85">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>IRQn_Type
+: <a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">Ref_NVIC.txt</a>
+</li>
+<li>ITM_CheckChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#ga7f9bbabd9756d1a7eafb2d9bf27e0535">Ref_Debug.txt</a>
+</li>
+<li>ITM_ReceiveChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#ga37b8f41cae703b5ff6947e271065558c">Ref_Debug.txt</a>
+</li>
+<li>ITM_RxBuffer
+: <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">Ref_Debug.txt</a>
+</li>
+<li>ITM_SendChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">Ref_Debug.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>MemoryManagement_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a33ff1cf7098de65d61b6354fee6cd5aa">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>NonMaskableInt_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ade177d9c70c89e084093024b932a4e30">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_ClearPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga382ad6bedd6eecfdabd1b94dd128a01a">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_DecodePriority()
+: <a class="el" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_DisableIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga736ba13a76eb37ef6e2c253be8b0331c">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_EnableIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_EncodePriority()
+: <a class="el" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetActive()
+: <a class="el" href="group___n_v_i_c__gr.html#gadf4252e600661fd762cfc0d1a9f5b892">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga95a8329a680b051ecf3ee8f516acc662">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPriority()
+: <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPriorityGrouping()
+: <a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga3b885147ef9965ecede49614de8df9d2">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPriority()
+: <a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPriorityGrouping()
+: <a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SystemReset()
+: <a class="el" href="group___n_v_i_c__gr.html#ga1b47d17e90b6a03e7bd1ec6a0d549b46">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>PendSV_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a03c3cc89984928816d81793fc7bce4a2">Ref_NVIC.txt</a>
+</li>
+<li>PVD_STM_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a853e0f318108110e0527f29733d11f86">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SCB_CleanDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga55583e3065c6eabca204b8b89b121c4c">core_cm7.txt</a>
+</li>
+<li>SCB_CleanDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga696fadbf7b9cc71dad42fab61873a40d">core_cm7.txt</a>
+</li>
+<li>SCB_CleanInvalidateDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga1b741def9e3b2ca97dc9ea49b8ce505c">core_cm7.txt</a>
+</li>
+<li>SCB_CleanInvalidateDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga630131b2572eaa16b569ed364dfc895e">core_cm7.txt</a>
+</li>
+<li>SCB_DisableDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga6468170f90d270caab8116e7a4f0b5fe">core_cm7.txt</a>
+</li>
+<li>SCB_DisableICache()
+: <a class="el" href="group___icache__functions__m7.html#gaba757390852f95b3ac2d8638c717d8d8">core_cm7.txt</a>
+</li>
+<li>SCB_EnableDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga63aa640d9006021a796a5dcf9c7180b6">core_cm7.txt</a>
+</li>
+<li>SCB_EnableICache()
+: <a class="el" href="group___icache__functions__m7.html#gaf9e7c6c8e16ada1f95e5bf5a03505b68">core_cm7.txt</a>
+</li>
+<li>SCB_GetFPUType()
+: <a class="el" href="group__fpu__functions__m7.html#ga6bcad99ce80a0e7e4ddc6f2379081756">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateDCache()
+: <a class="el" href="group___dcache__functions__m7.html#gace2d30db08887d0bdb818b8a785a5ce6">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga503ef7ef58c0773defd15a82f6336c09">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateICache()
+: <a class="el" href="group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3">core_cm7.txt</a>
+</li>
+<li>SVCall_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237">Ref_NVIC.txt</a>
+</li>
+<li>SystemCoreClock
+: <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">Ref_SystemAndClock.txt</a>
+</li>
+<li>SystemCoreClockUpdate()
+: <a class="el" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f">Ref_SystemAndClock.txt</a>
+</li>
+<li>SystemInit()
+: <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">Ref_SystemAndClock.txt</a>
+</li>
+<li>SysTick_Config()
+: <a class="el" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427">Ref_Systick.txt</a>
+</li>
+<li>SysTick_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
+<li>UsageFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6895237c9443601ac832efa635dd8bbf">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>WWDG_STM_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8aa62e040960b4beb6cba107e4703c12d2">Ref_NVIC.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals_defs.html b/Documentation/Core/html/globals_defs.html
new file mode 100644
index 0000000..a27df83
--- /dev/null
+++ b/Documentation/Core/html/globals_defs.html
@@ -0,0 +1,142 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li class="current"><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_defs.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;<ul>
+<li>_FLD2VAL
+: <a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444">Ref_Peripheral.txt</a>
+</li>
+<li>_VAL2FLD
+: <a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e">Ref_Peripheral.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals_enum.html b/Documentation/Core/html/globals_enum.html
new file mode 100644
index 0000000..15dd2da
--- /dev/null
+++ b/Documentation/Core/html/globals_enum.html
@@ -0,0 +1,139 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li class="current"><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_enum.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;<ul>
+<li>IRQn_Type
+: <a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">Ref_NVIC.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals_eval.html b/Documentation/Core/html/globals_eval.html
new file mode 100644
index 0000000..22dd0b4
--- /dev/null
+++ b/Documentation/Core/html/globals_eval.html
@@ -0,0 +1,169 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li class="current"><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_eval.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;<ul>
+<li>BusFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8693500eff174f16119e96234fee73af">Ref_NVIC.txt</a>
+</li>
+<li>DebugMonitor_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8e033fcef7aed98a31c60a7de206722c">Ref_NVIC.txt</a>
+</li>
+<li>HardFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ab1a222a34a32f0ef5ac65e714efc1f85">Ref_NVIC.txt</a>
+</li>
+<li>MemoryManagement_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a33ff1cf7098de65d61b6354fee6cd5aa">Ref_NVIC.txt</a>
+</li>
+<li>NonMaskableInt_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ade177d9c70c89e084093024b932a4e30">Ref_NVIC.txt</a>
+</li>
+<li>PendSV_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a03c3cc89984928816d81793fc7bce4a2">Ref_NVIC.txt</a>
+</li>
+<li>PVD_STM_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a853e0f318108110e0527f29733d11f86">Ref_NVIC.txt</a>
+</li>
+<li>SVCall_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237">Ref_NVIC.txt</a>
+</li>
+<li>SysTick_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7">Ref_NVIC.txt</a>
+</li>
+<li>UsageFault_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6895237c9443601ac832efa635dd8bbf">Ref_NVIC.txt</a>
+</li>
+<li>WWDG_STM_IRQn
+: <a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8aa62e040960b4beb6cba107e4703c12d2">Ref_NVIC.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals_func.html b/Documentation/Core/html/globals_func.html
new file mode 100644
index 0000000..5832053
--- /dev/null
+++ b/Documentation/Core/html/globals_func.html
@@ -0,0 +1,593 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_func.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>__BKPT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga92f5621626711931da71eaa8bf301af7">Ref_cmInstr.txt</a>
+</li>
+<li>__CLREX()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga354c5ac8870cc3dfb823367af9c4b412">Ref_cmInstr.txt</a>
+</li>
+<li>__CLZ()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga90884c591ac5d73d6069334eba9d6c02">Ref_cmInstr.txt</a>
+</li>
+<li>__disable_fault_irq()
+: <a class="el" href="group___core___register__gr.html#ga9d174f979b2f76fdb3228a9b338fd939">Ref_CoreReg.txt</a>
+</li>
+<li>__disable_irq()
+: <a class="el" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013">Ref_CoreReg.txt</a>
+</li>
+<li>__DMB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gab1c9b393641dc2d397b3408fdbe72b96">Ref_cmInstr.txt</a>
+</li>
+<li>__DSB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gacb2a8ca6eae1ba4b31161578b720c199">Ref_cmInstr.txt</a>
+</li>
+<li>__enable_fault_irq()
+: <a class="el" href="group___core___register__gr.html#ga6575d37863cec5d334864f93b5b783bf">Ref_CoreReg.txt</a>
+</li>
+<li>__enable_irq()
+: <a class="el" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27">Ref_CoreReg.txt</a>
+</li>
+<li>__get_APSR()
+: <a class="el" href="group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7">Ref_CoreReg.txt</a>
+</li>
+<li>__get_BASEPRI()
+: <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667">Ref_CoreReg.txt</a>
+</li>
+<li>__get_CONTROL()
+: <a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7">Ref_CoreReg.txt</a>
+</li>
+<li>__get_FAULTMASK()
+: <a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8">Ref_CoreReg.txt</a>
+</li>
+<li>__get_FPSCR()
+: <a class="el" href="group___core___register__gr.html#gad6d7eca9ddd1d9072dd7b020cfe64905">Ref_CoreReg.txt</a>
+</li>
+<li>__get_IPSR()
+: <a class="el" href="group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8">Ref_CoreReg.txt</a>
+</li>
+<li>__get_MSP()
+: <a class="el" href="group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2">Ref_CoreReg.txt</a>
+</li>
+<li>__get_PRIMASK()
+: <a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02">Ref_CoreReg.txt</a>
+</li>
+<li>__get_PSP()
+: <a class="el" href="group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9">Ref_CoreReg.txt</a>
+</li>
+<li>__get_xPSR()
+: <a class="el" href="group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd">Ref_CoreReg.txt</a>
+</li>
+<li>__ISB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga93c09b4709394d81977300d5f84950e5">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRBT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9464d75db32846aa8295c3c3adfacb41">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9e3ac13d8dcf4331176b624cf6234a7e">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga9feffc093d6f68b120d592a7a0d45a15">Ref_cmInstr.txt</a>
+</li>
+<li>__LDREXW()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gabd78840a0f2464905b7cec791ebc6a4c">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRHT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaa762b8bc5634ce38cb14d62a6b2aee32">Ref_cmInstr.txt</a>
+</li>
+<li>__LDRT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga616504f5da979ba8a073d428d6e8d5c7">Ref_cmInstr.txt</a>
+</li>
+<li>__NOP()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gac71fad9f0a91980fecafcb450ee0a63e">Ref_cmInstr.txt</a>
+</li>
+<li>__PKHBT()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaefb8ebf3a54e197464da1ff69a44f4b5">Ref_cm4_simd.txt</a>
+</li>
+<li>__PKHTB()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafd8fe4a6d87e947caa81a69ec36c1666">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga17b873f246c9f5e9355760ffef3dad4a">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae83a53ec04b496304bed6d9fe8f7461b">Ref_cm4_simd.txt</a>
+</li>
+<li>__QADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf2f5a9132dcfc6d01d34cd971c425713">Ref_cm4_simd.txt</a>
+</li>
+<li>__QASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga87618799672e1511e33964bc71467eb3">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab41eb2b17512ab01d476fc9d5bd19520">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga3ba259f8f05a36f7b88b469a71ffc096">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad089605c16df9823a2c8aaa37777aae5">Ref_cm4_simd.txt</a>
+</li>
+<li>__QSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga753493a65493880c28baa82c151a0d61">Ref_cm4_simd.txt</a>
+</li>
+<li>__RBIT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad6f9f297f6b91a995ee199fbc796b863">Ref_cmInstr.txt</a>
+</li>
+<li>__REV()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga4717abc17af5ba29b1e4c055e0a0d9b8">Ref_cmInstr.txt</a>
+</li>
+<li>__REV16()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaeef6f853b6df3a365c838ee5b49a7a26">Ref_cmInstr.txt</a>
+</li>
+<li>__REVSH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga1ec006e6d79063363cb0c2a2e0b3adbe">Ref_cmInstr.txt</a>
+</li>
+<li>__ROR()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaf66beb577bb9d90424c3d1d7f684c024">Ref_cmInstr.txt</a>
+</li>
+<li>__RRX()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gac09134f1bf9c49db07282001afcc9380">Ref_cmInstr.txt</a>
+</li>
+<li>__SADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad0bf46373a1c05aabf64517e84be5984">Ref_cm4_simd.txt</a>
+</li>
+<li>__SADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac20aa0f741d0a1494d58c531e38d5785">Ref_cm4_simd.txt</a>
+</li>
+<li>__SASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5845084fd99c872e98cf5553d554de2a">Ref_cm4_simd.txt</a>
+</li>
+<li>__SEL()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf5448e591fe49161b6759b48aecb08fe">Ref_cm4_simd.txt</a>
+</li>
+<li>__set_BASEPRI()
+: <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">Ref_CoreReg.txt</a>
+</li>
+<li>__set_BASEPRI_MAX()
+: <a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9">Ref_CoreReg.txt</a>
+</li>
+<li>__set_CONTROL()
+: <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c">Ref_CoreReg.txt</a>
+</li>
+<li>__set_FAULTMASK()
+: <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a">Ref_CoreReg.txt</a>
+</li>
+<li>__set_FPSCR()
+: <a class="el" href="group___core___register__gr.html#ga6f26bd75ca7e3247f27b272acc10536b">Ref_CoreReg.txt</a>
+</li>
+<li>__set_MSP()
+: <a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4">Ref_CoreReg.txt</a>
+</li>
+<li>__set_PRIMASK()
+: <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f">Ref_CoreReg.txt</a>
+</li>
+<li>__set_PSP()
+: <a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743">Ref_CoreReg.txt</a>
+</li>
+<li>__SEV()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga3c34da7eb16496ae2668a5b95fa441e7">Ref_cmInstr.txt</a>
+</li>
+<li>__SHADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga15d8899a173effb8ad8c7268da32b60e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga524575b442ea01aec10c762bf4d85fea">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae0a649035f67627464fd80e7218c89d5">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafadbd89c36b5addcf1ca10dd392db3e9">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga31328467f0f91b8ff9ae9a01682ad3bf">Ref_cm4_simd.txt</a>
+</li>
+<li>__SHSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac3ec7215b354d925a239f3b31df2b77b">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLAD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae0c86f3298532183f3a29f5bb454d354">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLADX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9c286d330f4fb29b256335add91eec9f">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLALD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad80e9b20c1736fd798f897362273a146">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLALDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad1adad1b3f2667328cc0db6c6b4f41cf">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf4350af7f2030c36f43b2c104a9d16cd">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5290ce5564770ad124910d2583dc0a9e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSLD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5611f7314e0c8f53da377918dfbf42ee">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMLSLDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga83e69ef81057d3cbd06863d729385187">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMMLA()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaea60757232f740ec6b09980eebb614ff">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUAD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gae326e368a1624d2dfb4b97c626939257">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUADX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaee6390f86965cb662500f690b0012092">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUSD()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga039142a5368840683cf329cb55b73f84">Ref_cm4_simd.txt</a>
+</li>
+<li>__SMUSDX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gabb5bcba694bf17b141c32e6a8474f60e">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSAT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga7d9dddda18805abbf51ac21c639845e1">Ref_cmInstr.txt</a>
+</li>
+<li>__SSAT16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga95e666b82216066bf6064d1244e6883c">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9d3bc5c539f9bd50f7d59ffa37ac6a65">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga4262f73be75efbac6b46ab7c71aa6cbc">Ref_cm4_simd.txt</a>
+</li>
+<li>__SSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaba63bb52e1e93fb527e26f3d474da12e">Ref_cm4_simd.txt</a>
+</li>
+<li>__STRBT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad41aa59c92c0a165b7f98428d3320cd5">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXB()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaab6482d1f59f59e2b6b7efc1af391c99">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXH()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga0a354bdf71caa52f081a4a54e84c8d2a">Ref_cmInstr.txt</a>
+</li>
+<li>__STREXW()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga335deaaa7991490e1450cb7d1e4c5197">Ref_cmInstr.txt</a>
+</li>
+<li>__STRHT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga2b5d93b8e461755b1072a03df3f1722e">Ref_cmInstr.txt</a>
+</li>
+<li>__STRT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga625bc4ac0b1d50de9bcd13d9f050030e">Ref_cmInstr.txt</a>
+</li>
+<li>__SXTAB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac540b4fc41d30778ba102d2a65db5589">Ref_cm4_simd.txt</a>
+</li>
+<li>__SXTB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga38dce3dd13ba212e80ec3cff4abeb11a">Ref_cm4_simd.txt</a>
+</li>
+<li>__UADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaa1160f0cf76d6aa292fbad54a1aa6b74">Ref_cm4_simd.txt</a>
+</li>
+<li>__UADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab3d7fd00d113b20fb3741a17394da762">Ref_cm4_simd.txt</a>
+</li>
+<li>__UASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga980353d2c72ebb879282e49f592fddc0">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gabd0b0e2da2e6364e176d051687702b86">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga3a14e5485e59bf0f23595b7c2a94eb0b">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga028f0732b961fb6e5209326fb3855261">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga09e129e6613329aab87c89f1108b7ed7">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga1f7545b8dc33bb97982731cb9d427a69">Ref_cm4_simd.txt</a>
+</li>
+<li>__UHSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga48a55df1c3e73923b73819d7c19b392d">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQADD16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9e2cc5117e79578a08b25f1e89022966">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQADD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafa9af218db3934a692fb06fa728d8031">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQASX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5eff3ae5eabcd73f3049996ca391becb">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gadecfdfabc328d8939d49d996f2fd4482">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5ec4e2e231d15e5c692233feb3806187">Ref_cm4_simd.txt</a>
+</li>
+<li>__UQSUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9736fe816aec74fe886e7fb949734eab">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAD8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gac8855c07044239ea775c8128013204f0">Ref_cm4_simd.txt</a>
+</li>
+<li>__USADA8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad032bd21f013c5d29f5fcb6b0f02bc3f">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAT()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#ga76bbe4374a5912362866cdc1ded4064a">Ref_cmInstr.txt</a>
+</li>
+<li>__USAT16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga967f516afff5900cf30f1a81907cdd89">Ref_cm4_simd.txt</a>
+</li>
+<li>__USAX()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga578a082747436772c482c96d7a58e45e">Ref_cm4_simd.txt</a>
+</li>
+<li>__USUB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga9f2b77e11fc4a77b26c36c423ed45b4e">Ref_cm4_simd.txt</a>
+</li>
+<li>__USUB8()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gacb7257dc3b8e9acbd0ef0e31ff87d4b8">Ref_cm4_simd.txt</a>
+</li>
+<li>__UXTAB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad25ce96db0f17096bbd815f4817faf09">Ref_cm4_simd.txt</a>
+</li>
+<li>__UXTB16()
+: <a class="el" href="group__intrinsic___s_i_m_d__gr.html#gab41d713653b16f8d9fef44d14e397228">Ref_cm4_simd.txt</a>
+</li>
+<li>__WFE()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gad3efec76c3bfa2b8528ded530386c563">Ref_cmInstr.txt</a>
+</li>
+<li>__WFI()
+: <a class="el" href="group__intrinsic___c_p_u__gr.html#gaed91dfbf3d7d7b7fba8d912fcbeaad88">Ref_cmInstr.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>ITM_CheckChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#ga7f9bbabd9756d1a7eafb2d9bf27e0535">Ref_Debug.txt</a>
+</li>
+<li>ITM_ReceiveChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#ga37b8f41cae703b5ff6947e271065558c">Ref_Debug.txt</a>
+</li>
+<li>ITM_SendChar()
+: <a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">Ref_Debug.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>NVIC_ClearPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga382ad6bedd6eecfdabd1b94dd128a01a">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_DecodePriority()
+: <a class="el" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_DisableIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga736ba13a76eb37ef6e2c253be8b0331c">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_EnableIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_EncodePriority()
+: <a class="el" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetActive()
+: <a class="el" href="group___n_v_i_c__gr.html#gadf4252e600661fd762cfc0d1a9f5b892">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga95a8329a680b051ecf3ee8f516acc662">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPriority()
+: <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_GetPriorityGrouping()
+: <a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPendingIRQ()
+: <a class="el" href="group___n_v_i_c__gr.html#ga3b885147ef9965ecede49614de8df9d2">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPriority()
+: <a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SetPriorityGrouping()
+: <a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354">Ref_NVIC.txt</a>
+</li>
+<li>NVIC_SystemReset()
+: <a class="el" href="group___n_v_i_c__gr.html#ga1b47d17e90b6a03e7bd1ec6a0d549b46">Ref_NVIC.txt</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SCB_CleanDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga55583e3065c6eabca204b8b89b121c4c">core_cm7.txt</a>
+</li>
+<li>SCB_CleanDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga696fadbf7b9cc71dad42fab61873a40d">core_cm7.txt</a>
+</li>
+<li>SCB_CleanInvalidateDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga1b741def9e3b2ca97dc9ea49b8ce505c">core_cm7.txt</a>
+</li>
+<li>SCB_CleanInvalidateDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga630131b2572eaa16b569ed364dfc895e">core_cm7.txt</a>
+</li>
+<li>SCB_DisableDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga6468170f90d270caab8116e7a4f0b5fe">core_cm7.txt</a>
+</li>
+<li>SCB_DisableICache()
+: <a class="el" href="group___icache__functions__m7.html#gaba757390852f95b3ac2d8638c717d8d8">core_cm7.txt</a>
+</li>
+<li>SCB_EnableDCache()
+: <a class="el" href="group___dcache__functions__m7.html#ga63aa640d9006021a796a5dcf9c7180b6">core_cm7.txt</a>
+</li>
+<li>SCB_EnableICache()
+: <a class="el" href="group___icache__functions__m7.html#gaf9e7c6c8e16ada1f95e5bf5a03505b68">core_cm7.txt</a>
+</li>
+<li>SCB_GetFPUType()
+: <a class="el" href="group__fpu__functions__m7.html#ga6bcad99ce80a0e7e4ddc6f2379081756">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateDCache()
+: <a class="el" href="group___dcache__functions__m7.html#gace2d30db08887d0bdb818b8a785a5ce6">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateDCache_by_Addr()
+: <a class="el" href="group___dcache__functions__m7.html#ga503ef7ef58c0773defd15a82f6336c09">core_cm7.txt</a>
+</li>
+<li>SCB_InvalidateICache()
+: <a class="el" href="group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3">core_cm7.txt</a>
+</li>
+<li>SystemCoreClockUpdate()
+: <a class="el" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f">Ref_SystemAndClock.txt</a>
+</li>
+<li>SystemInit()
+: <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">Ref_SystemAndClock.txt</a>
+</li>
+<li>SysTick_Config()
+: <a class="el" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427">Ref_Systick.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/globals_vars.html b/Documentation/Core/html/globals_vars.html
new file mode 100644
index 0000000..f87e0da
--- /dev/null
+++ b/Documentation/Core/html/globals_vars.html
@@ -0,0 +1,142 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-CORE: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_vars.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;<ul>
+<li>ITM_RxBuffer
+: <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">Ref_Debug.txt</a>
+</li>
+<li>SystemCoreClock
+: <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">Ref_SystemAndClock.txt</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:22 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/group___core___register__gr.html b/Documentation/Core/html/group___core___register__gr.html
new file mode 100644
index 0000000..6eff421
--- /dev/null
+++ b/Documentation/Core/html/group___core___register__gr.html
@@ -0,0 +1,1188 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Core Register Access</title>
+<title>CMSIS-CORE: Core Register Access</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___core___register__gr.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Core Register Access</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions to access the Cortex-M core registers.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga963cf236b73219ce78e965deb01b81a7"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7">__get_CONTROL</a> (void)</td></tr>
+<tr class="memdesc:ga963cf236b73219ce78e965deb01b81a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the CONTROL register.  <a href="#ga963cf236b73219ce78e965deb01b81a7"></a><br/></td></tr>
+<tr class="separator:ga963cf236b73219ce78e965deb01b81a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac64d37e7ff9de06437f9fb94bbab8b6c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c">__set_CONTROL</a> (uint32_t control)</td></tr>
+<tr class="memdesc:gac64d37e7ff9de06437f9fb94bbab8b6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the CONTROL Register.  <a href="#gac64d37e7ff9de06437f9fb94bbab8b6c"></a><br/></td></tr>
+<tr class="separator:gac64d37e7ff9de06437f9fb94bbab8b6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8">__get_IPSR</a> (void)</td></tr>
+<tr class="memdesc:ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the IPSR register.  <a href="#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8"></a><br/></td></tr>
+<tr class="separator:ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga811c0012221ee918a75111ca84c4d5e7"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7">__get_APSR</a> (void)</td></tr>
+<tr class="memdesc:ga811c0012221ee918a75111ca84c4d5e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the APSR register.  <a href="#ga811c0012221ee918a75111ca84c4d5e7"></a><br/></td></tr>
+<tr class="separator:ga811c0012221ee918a75111ca84c4d5e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga732e08184154f44a617963cc65ff95bd"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd">__get_xPSR</a> (void)</td></tr>
+<tr class="memdesc:ga732e08184154f44a617963cc65ff95bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the xPSR register.  <a href="#ga732e08184154f44a617963cc65ff95bd"></a><br/></td></tr>
+<tr class="separator:ga732e08184154f44a617963cc65ff95bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga914dfa8eff7ca53380dd54cf1d8bebd9"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9">__get_PSP</a> (void)</td></tr>
+<tr class="memdesc:ga914dfa8eff7ca53380dd54cf1d8bebd9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the PSP register.  <a href="#ga914dfa8eff7ca53380dd54cf1d8bebd9"></a><br/></td></tr>
+<tr class="separator:ga914dfa8eff7ca53380dd54cf1d8bebd9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga48e5853f417e17a8a65080f6a605b743"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743">__set_PSP</a> (uint32_t topOfProcStack)</td></tr>
+<tr class="memdesc:ga48e5853f417e17a8a65080f6a605b743"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the PSP register.  <a href="#ga48e5853f417e17a8a65080f6a605b743"></a><br/></td></tr>
+<tr class="separator:ga48e5853f417e17a8a65080f6a605b743"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab898559392ba027814e5bbb5a98b38d2"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2">__get_MSP</a> (void)</td></tr>
+<tr class="memdesc:gab898559392ba027814e5bbb5a98b38d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the MSP register.  <a href="#gab898559392ba027814e5bbb5a98b38d2"></a><br/></td></tr>
+<tr class="separator:gab898559392ba027814e5bbb5a98b38d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0bf9564ebc1613a8faba014275dac2a4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4">__set_MSP</a> (uint32_t topOfMainStack)</td></tr>
+<tr class="memdesc:ga0bf9564ebc1613a8faba014275dac2a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the MSP register.  <a href="#ga0bf9564ebc1613a8faba014275dac2a4"></a><br/></td></tr>
+<tr class="separator:ga0bf9564ebc1613a8faba014275dac2a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga799b5d9a2ae75e459264c8512c7c0e02"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02">__get_PRIMASK</a> (void)</td></tr>
+<tr class="memdesc:ga799b5d9a2ae75e459264c8512c7c0e02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the PRIMASK register bit.  <a href="#ga799b5d9a2ae75e459264c8512c7c0e02"></a><br/></td></tr>
+<tr class="separator:ga799b5d9a2ae75e459264c8512c7c0e02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga70b4e1a6c1c86eb913fb9d6e8400156f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f">__set_PRIMASK</a> (uint32_t priMask)</td></tr>
+<tr class="memdesc:ga70b4e1a6c1c86eb913fb9d6e8400156f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the Priority Mask bit.  <a href="#ga70b4e1a6c1c86eb913fb9d6e8400156f"></a><br/></td></tr>
+<tr class="separator:ga70b4e1a6c1c86eb913fb9d6e8400156f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga32da759f46e52c95bcfbde5012260667"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667">__get_BASEPRI</a> (void)</td></tr>
+<tr class="memdesc:ga32da759f46e52c95bcfbde5012260667"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga32da759f46e52c95bcfbde5012260667"></a><br/></td></tr>
+<tr class="separator:ga32da759f46e52c95bcfbde5012260667"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga360c73eb7ffb16088556f9278953b882"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">__set_BASEPRI</a> (uint32_t basePri)</td></tr>
+<tr class="memdesc:ga360c73eb7ffb16088556f9278953b882"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga360c73eb7ffb16088556f9278953b882"></a><br/></td></tr>
+<tr class="separator:ga360c73eb7ffb16088556f9278953b882"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga62fa63d39cf22df348857d5f44ab64d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9">__set_BASEPRI_MAX</a> (uint32_t basePri)</td></tr>
+<tr class="memdesc:ga62fa63d39cf22df348857d5f44ab64d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Increase the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga62fa63d39cf22df348857d5f44ab64d9"></a><br/></td></tr>
+<tr class="separator:ga62fa63d39cf22df348857d5f44ab64d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa78e4e6bf619a65e9f01b4af13fed3a8"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8">__get_FAULTMASK</a> (void)</td></tr>
+<tr class="memdesc:gaa78e4e6bf619a65e9f01b4af13fed3a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gaa78e4e6bf619a65e9f01b4af13fed3a8"></a><br/></td></tr>
+<tr class="separator:gaa78e4e6bf619a65e9f01b4af13fed3a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa5587cc09031053a40a35c14ec36078a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a">__set_FAULTMASK</a> (uint32_t faultMask)</td></tr>
+<tr class="memdesc:gaa5587cc09031053a40a35c14ec36078a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gaa5587cc09031053a40a35c14ec36078a"></a><br/></td></tr>
+<tr class="separator:gaa5587cc09031053a40a35c14ec36078a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad6d7eca9ddd1d9072dd7b020cfe64905"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gad6d7eca9ddd1d9072dd7b020cfe64905">__get_FPSCR</a> (void)</td></tr>
+<tr class="memdesc:gad6d7eca9ddd1d9072dd7b020cfe64905"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the FPSCR register [only Cortex-M4 and Cortex-M7].  <a href="#gad6d7eca9ddd1d9072dd7b020cfe64905"></a><br/></td></tr>
+<tr class="separator:gad6d7eca9ddd1d9072dd7b020cfe64905"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6f26bd75ca7e3247f27b272acc10536b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga6f26bd75ca7e3247f27b272acc10536b">__set_FPSCR</a> (uint32_t fpscr)</td></tr>
+<tr class="memdesc:ga6f26bd75ca7e3247f27b272acc10536b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the FPSC register [only for Cortex-M4 and Cortex-M7].  <a href="#ga6f26bd75ca7e3247f27b272acc10536b"></a><br/></td></tr>
+<tr class="separator:ga6f26bd75ca7e3247f27b272acc10536b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0f98dfbd252b89d12564472dbeba9c27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27">__enable_irq</a> (void)</td></tr>
+<tr class="memdesc:ga0f98dfbd252b89d12564472dbeba9c27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Globally enables interrupts and configurable fault handlers.  <a href="#ga0f98dfbd252b89d12564472dbeba9c27"></a><br/></td></tr>
+<tr class="separator:ga0f98dfbd252b89d12564472dbeba9c27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaeb8e5f7564a8ea23678fe3c987b04013"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013">__disable_irq</a> (void)</td></tr>
+<tr class="memdesc:gaeb8e5f7564a8ea23678fe3c987b04013"><td class="mdescLeft">&#160;</td><td class="mdescRight">Globally disables interrupts and configurable fault handlers.  <a href="#gaeb8e5f7564a8ea23678fe3c987b04013"></a><br/></td></tr>
+<tr class="separator:gaeb8e5f7564a8ea23678fe3c987b04013"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6575d37863cec5d334864f93b5b783bf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga6575d37863cec5d334864f93b5b783bf">__enable_fault_irq</a> (void)</td></tr>
+<tr class="memdesc:ga6575d37863cec5d334864f93b5b783bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enables interrupts and all fault handlers [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga6575d37863cec5d334864f93b5b783bf"></a><br/></td></tr>
+<tr class="separator:ga6575d37863cec5d334864f93b5b783bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9d174f979b2f76fdb3228a9b338fd939"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___core___register__gr.html#ga9d174f979b2f76fdb3228a9b338fd939">__disable_fault_irq</a> (void)</td></tr>
+<tr class="memdesc:ga9d174f979b2f76fdb3228a9b338fd939"><td class="mdescLeft">&#160;</td><td class="mdescRight">Disables interrupts and all fault handlers [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga9d174f979b2f76fdb3228a9b338fd939"></a><br/></td></tr>
+<tr class="separator:ga9d174f979b2f76fdb3228a9b338fd939"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The following functions provide access to Cortex-M core registers. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga9d174f979b2f76fdb3228a9b338fd939"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __disable_fault_irq </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function disables interrupts and all fault handlers by setting FAULTMASK. The function uses the instruction <b>CPSID f</b>.</p>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Can be executed in privileged mode only.</li>
+<li>An interrupt can enter pending state even if it is disabled. Disabling an interrupt only prevents the processor from taking that interrupt.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga6575d37863cec5d334864f93b5b783bf">__enable_fault_irq</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a>; <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a" title="Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_FAULTMASK</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaeb8e5f7564a8ea23678fe3c987b04013"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __disable_irq </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function disables interrupts and all configurable fault handlers by setting PRIMASK. The function uses the instruction <b>CPSID i</b>.</p>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Can be executed in privileged mode only.</li>
+<li>An interrupt can enter pending state even if it is disabled. Disabling an interrupt only prevents the processor from taking that interrupt.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27">__enable_irq</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a>; <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f" title="Set the Priority Mask bit.">__set_PRIMASK</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga6575d37863cec5d334864f93b5b783bf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __enable_fault_irq </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function enables interrupts and all fault handlers by clearing FAULTMASK. The function uses the instruction <b>CPSIE f</b>.</p>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Can be executed in privileged mode only.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga9d174f979b2f76fdb3228a9b338fd939">__disable_fault_irq</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a>; <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a" title="Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_FAULTMASK</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga0f98dfbd252b89d12564472dbeba9c27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __enable_irq </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function enables interrupts and all configurable fault handlers by clearing PRIMASK. The function uses the instruction <b>CPSIE i</b>.</p>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Can be executed in privileged mode only.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013">__disable_irq</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a>; <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f" title="Set the Priority Mask bit.">__set_PRIMASK</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga811c0012221ee918a75111ca84c4d5e7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_APSR </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Application Program Status Register (APSR) using the instruction <b>MRS</b>. <br/>
+<br/>
+ The APSR contains the current state of the condition flags from instructions executed previously. The APSR is essential for controlling conditional branches. The following flags are used:</p>
+<ul>
+<li><b>N</b> (APSR[31]) (Negative flag)<ul>
+<li>=1 The instruction result has a negative value (when interpreted as signed integer).</li>
+<li>=0 The instruction result has a positive value or equal zero. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>Z</b> (APSR[30]) (Zero flag)<ul>
+<li>=1 The instruction result is zero. Or, after a compare instruction, when the two values are the same. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>C</b> (APSR[29]) (Carry or borrow flag)<ul>
+<li>=1 For unsigned additions, if an unsigned overflow occurred.</li>
+<li>=<em>inverse of borrow output status</em> For unsigned subtract operations. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>V</b> (APSR[28]) (Overflow flag)<ul>
+<li>=1 A signed overflow occurred (for signed additions or subtractions). <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>Q</b> (APSR[27]) (DSP overflow or saturation flag) [not Cortex-M0]<ul>
+<li>This flag is a <em>sticky</em> flag. Saturating and certain mutliplying instructions can set the flag, but cannot clear it.</li>
+<li>=1 When saturation or an overflow occurred. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>GE</b> (APSR[19:16]) (Greater than or Equal flags) [not Cortex-M0]<ul>
+<li>Can be set by the parallel add and subtract instructions.</li>
+<li>Are used by the <code>SEL</code> instruction to perform byte-based selection from two registers.</li>
+</ul>
+</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>APSR register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Some instructions update all flags; some instructions update a subset of the flags.</li>
+<li>If a flag is not updated, the original value is preserved.</li>
+<li>Conditional instructions that are not executed have no effect on the flags.</li>
+<li>The CMSIS does not provide a function to update this register.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd">__get_xPSR</a>; <a class="el" href="union_a_p_s_r___type.html" title="Union type to access the Application Program Status Register (APSR).">APSR_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga32da759f46e52c95bcfbde5012260667"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_BASEPRI </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function returns the Base Priority Mask register (BASEPRI) using the instruction <b>MRS</b>. <br/>
+<br/>
+ BASEPRI defines the minimum priority for exception processing. When BASEPRI is set to a non-zero value, it prevents the activation of all exceptions with the same or lower priority level as the BASEPRI value.</p>
+<dl class="section return"><dt>Returns</dt><dd>BASEPRI register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Not for Cortex-M0, Cortex-M0+, or SC000.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9" title="Increase the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI_MAX</a>; <a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8" title="Read the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_FAULTMASK</a>; <a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02" title="Read the PRIMASK register bit.">__get_PRIMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga963cf236b73219ce78e965deb01b81a7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_CONTROL </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the CONTROL register value using the instruction <b>MRS</b>. <br/>
+<br/>
+ The CONTROL register controls the stack used and the privilege level for software execution when the processor is in thread mode and, if implemented, indicates whether the FPU state is active. This register uses the following bits: <br/>
+</p>
+<ul>
+<li><b>CONTROL</b>[2] [only Cortex-M4 and Cortex-M7]<ul>
+<li>=0 FPU not active</li>
+<li>=1 FPU active <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>CONTROL</b>[1]<ul>
+<li>=0 In handler mode - MSP is selected. No alternate stack possible for handler mode.</li>
+<li>=0 In thread mode - Default stack pointer MSP is used.</li>
+<li>=1 In thread mode - Alternate stack pointer PSP is used. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>CONTROL</b>[0] [not Cortex-M0]<ul>
+<li>=0 In thread mode and privileged state.</li>
+<li>=1 In thread mode and user state.</li>
+</ul>
+</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>CONTROL register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The processor can be in user state or privileged state when running in thread mode.</li>
+<li>Exception handlers always run in privileged state.</li>
+<li>On reset, the processor is in thread mode with privileged access rights.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c">__set_CONTROL</a>; <a class="el" href="union_c_o_n_t_r_o_l___type.html" title="Union type to access the Control Registers (CONTROL).">CONTROL_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaa78e4e6bf619a65e9f01b4af13fed3a8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_FAULTMASK </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Fault Mask register (FAULTMASK) value using the instruction <b>MRS</b>. <br/>
+<br/>
+ FAULTMASK prevents activation of all exceptions except for the Non-Maskable Interrupt (NMI).</p>
+<dl class="section return"><dt>Returns</dt><dd>FAULTMASK register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Is cleared automatically upon exiting the exception handler, except when returning from the NMI handler.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a">__set_FAULTMASK</a>; <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667" title="Read the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02" title="Read the PRIMASK register bit.">__get_PRIMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad6d7eca9ddd1d9072dd7b020cfe64905"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_FPSCR </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Floating-Point Status Control Register (FPSCR) value. <br/>
+<br/>
+ FPSCR provides all necessary User level controls of the floating-point system.</p>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>FPSCR register value, when __FPU_PRESENT=1</li>
+<li>=0, when __FPU_PRESENT=0</li>
+</ul>
+</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only for Cortex-M4 and Cortex-M7.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga6f26bd75ca7e3247f27b272acc10536b">__set_FPSCR</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_IPSR </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Interrupt Program Status Register (IPSR) using the instruction <b>MRS</b>. <br/>
+<br/>
+ The ISPR contains the exception type number of the current Interrupt Service Routine (ISR). Each exception has an assocciated unique IRQn number. The following bits are used:</p>
+<ul>
+<li><b>ISR_NUMBER</b> (IPSR[8:0])<ul>
+<li>=0 Thread mode</li>
+<li>=1 Reserved</li>
+<li>=2 NMI</li>
+<li>=3 HardFault</li>
+<li>=4 MemManage</li>
+<li>=5 BusFault</li>
+<li>=6 UsageFault</li>
+<li>=7-10 Reserved</li>
+<li>=11 SVCall</li>
+<li>=12 Reserved for Debug</li>
+<li>=13 Reserved</li>
+<li>=14 PendSV</li>
+<li>=15 SysTick</li>
+<li>=16 IRQ0</li>
+<li>...</li>
+<li>=n+15 IRQ(n-1)</li>
+</ul>
+</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>ISPR register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>This register is read-only.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd">__get_xPSR</a>; <a class="el" href="union_i_p_s_r___type.html" title="Union type to access the Interrupt Program Status Register (IPSR).">IPSR_Type</a></li>
+<li><a class="el" href="group___n_v_i_c__gr.html">Interrupts and Exceptions (NVIC)</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab898559392ba027814e5bbb5a98b38d2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_MSP </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Main Status Pointer (MSP) value using the instruction <b>MRS</b>. <br/>
+<br/>
+ Physically two different stack pointers (SP) exist:</p>
+<ul>
+<li>The Main Stack Pointer (MSP) is the default stack pointer after reset. It is also used when running exception handlers (handler mode).</li>
+<li>The Process Stack Pointer (PSP), which can be used only in thread mode.</li>
+</ul>
+<p>Register R13 banks the SP. The SP selection is determined by the bit[1] of the CONTROL register:</p>
+<ul>
+<li>=0 MSP is the current stack pointer. This is also the default SP. The initial value is loaded from the first 32-bit word of the vector table from the program memory.</li>
+<li>=1 PSP is the current stack pointer. The initial value is undefined.</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>MSP Register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only one of the two SPs is visible at a time.</li>
+<li>For many applications, the system can completely rely on the MSP.</li>
+<li>The PSP is normally used in designs with an OS where the stack memory for OS Kernel must be separated from the application code.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4">__set_MSP</a>; <a class="el" href="group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9" title="Read the PSP register.">__get_PSP</a>; <a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7" title="Read the CONTROL register.">__get_CONTROL</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga799b5d9a2ae75e459264c8512c7c0e02"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_PRIMASK </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Priority Mask register (PRIMASK) value using the instruction <b>MRS</b>. <br/>
+<br/>
+ PRIMASK is a 1-bit-wide interrupt mask register. When set, it blocks all interrupts apart from the non-maskable interrupt (NMI) and the hard fault exception. The PRIMASK prevents activation of all exceptions with configurable priority.</p>
+<dl class="section return"><dt>Returns</dt><dd>PRIMASK register value<ul>
+<li>=0 no effect</li>
+<li>=1 prevents the activation of all exceptions with configurable priority</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f">__set_PRIMASK</a>; <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667" title="Read the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8" title="Read the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_FAULTMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga914dfa8eff7ca53380dd54cf1d8bebd9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_PSP </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the Program Status Pointer (PSP) value using the instruction <b>MRS</b>. <br/>
+<br/>
+ Physically two different stack pointers (SP) exist:</p>
+<ul>
+<li>The Main Stack Pointer (MSP) is the default stack pointer after reset. It is also used when running exception handlers (handler mode).</li>
+<li>The Process Stack Pointer (PSP), which can be used only in thread mode.</li>
+</ul>
+<p>Register R13 banks the SP. The SP selection is determined by the bit[1] of the CONTROL register:</p>
+<ul>
+<li>=0 MSP is the current stack pointer. This is also the default SP. The initial value is loaded from the first 32-bit word of the vector table from the program memory.</li>
+<li>=1 PSP is the current stack pointer. The initial value is undefined.</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>PSP register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only one of the two SPs is visible at a time.</li>
+<li>For many applications, the system can completely rely on the MSP.</li>
+<li>The PSP is normally used in designs with an OS where the stack memory for OS Kernel must be separated from the application code.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743">__set_PSP</a>; <a class="el" href="group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2" title="Read the MSP register.">__get_MSP</a>; <a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7" title="Read the CONTROL register.">__get_CONTROL</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga732e08184154f44a617963cc65ff95bd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __get_xPSR </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function reads the combined Program Status Register (xPSR) using the instruction <b>MRS</b>. <br/>
+<br/>
+ xPSR provides information about program execution and the APSR flags. It consists of the following PSRs: </p>
+<ul>
+<li>Application Program Status Register (APSR) </li>
+<li>Interrupt Program Status Register (IPSR) </li>
+<li>Execution Program Status Register (EPSR)</li>
+</ul>
+<p>In addition to the flags described in <a class="el" href="group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7">__get_APSR</a> and <a class="el" href="group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8">__get_IPSR</a>, the register provides the following flags:</p>
+<ul>
+<li><b>IT</b> (xPSR[26:25]) (If-Then condition instruction)<ul>
+<li>Contains up to four instructions following an IT instruction.</li>
+<li>Each instruction in the block is conditional.</li>
+<li>The conditions for the instructions are either all the same, or some can be the inverse of others. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>T</b> (xPSR[24]) (Thumb bit)<ul>
+<li>=1 Indicates that that the processor is in Thumb state.</li>
+<li>=0 Attempting to execute instructions when the T bit is 0 results in a fault or lockup.</li>
+<li>The conditions for the instructions are either all the same, or some can be the inverse of others.</li>
+</ul>
+</li>
+</ul>
+<dl class="section return"><dt>Returns</dt><dd>xPSR register value</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The CMSIS does not provide functions that access EPSR.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7">__get_APSR</a>; <a class="el" href="group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8" title="Read the IPSR register.">__get_IPSR</a>; <a class="el" href="unionx_p_s_r___type.html" title="Union type to access the Special-Purpose Program Status Registers (xPSR).">xPSR_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga360c73eb7ffb16088556f9278953b882"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_BASEPRI </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>basePri</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Base Priority Mask register (BASEPRI) value using the instruction <b>MSR</b>. <br/>
+<br/>
+ BASEPRI defines the minimum priority for exception processing. When BASEPRI is set to a non-zero value, it prevents the activation of all exceptions with the same or lower priority level as the BASEPRI value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">basePri</td><td>BASEPRI value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Cannot be set in user state.</li>
+<li>Useful for changing the masking level or disabling the masking.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667">__get_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9" title="Increase the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI_MAX</a>; <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a" title="Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_FAULTMASK</a>; <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f" title="Set the Priority Mask bit.">__set_PRIMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga62fa63d39cf22df348857d5f44ab64d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_BASEPRI_MAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>basePri</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function only increases the Base Priority Mask register (BASEPRI) value using the instruction <b>MSR</b>. The value is set only if BASEPRI masking is disabled, or the new value increases the BASEPRI priority level. <br/>
+<br/>
+ BASEPRI defines the minimum priority for exception processing.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">basePri</td><td>BASEPRI value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Cannot be set in user state.</li>
+<li>Useful for increasing the masking level.</li>
+<li>Has no effect when <em>basePri</em> is lower than the current value of BASEPRI.</li>
+<li>Use <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">__set_BASEPRI</a> to lower the Base Priority Mask register.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667" title="Read the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a" title="Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_FAULTMASK</a>; <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f" title="Set the Priority Mask bit.">__set_PRIMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac64d37e7ff9de06437f9fb94bbab8b6c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_CONTROL </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>control</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the CONTROL register value using the instruction <b>MSR</b>. <br/>
+<br/>
+ The CONTROL register controls the stack used and the privilege level for software execution when the processor is in thread mode and, if implemented, indicates whether the FPU state is active. This register uses the following bits: <br/>
+</p>
+<ul>
+<li><b>CONTROL</b>[2] [only Cortex-M4 and Cortex-M7]<ul>
+<li>=0 FPU not active</li>
+<li>=1 FPU active <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>CONTROL</b>[1]<ul>
+<li>Writeable only when the processor is in thread mode and privileged state (CONTROL[0]=0).</li>
+<li>=0 In handler mode - MSP is selected. No alternate stack pointer possible for handler mode.</li>
+<li>=0 In thread mode - Default stack pointer MSP is used.</li>
+<li>=1 In thread mode - Alternate stack pointer PSP is used. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>CONTROL</b>[0] [not writeable for Cortex-M0]<ul>
+<li>Writeable only when the processor is in privileged state.</li>
+<li>Can be used to switch the processor to user state (thread mode).</li>
+<li>Once in user state, trigger an interrupt and change the state to privileged in the exception handler (the only way).</li>
+<li>=0 In thread mode and privileged state.</li>
+<li>=1 In thread mode and user state.</li>
+</ul>
+</li>
+</ul>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">control</td><td>CONTROL register value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The processor can be in user state or privileged state when running in thread mode.</li>
+<li>Exception handlers always run in privileged state.</li>
+<li>On reset, the processor is in thread mode with privileged access rights.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7">__get_CONTROL</a>; <a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743" title="Set the PSP register.">__set_PSP</a>; <a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4" title="Set the MSP register.">__set_MSP</a>; <a class="el" href="union_c_o_n_t_r_o_l___type.html" title="Union type to access the Control Registers (CONTROL).">CONTROL_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaa5587cc09031053a40a35c14ec36078a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_FAULTMASK </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>faultMask</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Fault Mask register (FAULTMASK) value using the instruction <b>MSR</b>. <br/>
+<br/>
+ FAULTMASK prevents activation of all exceptions except for Non-Maskable Interrupt (NMI). FAULTMASK can be used to escalate a configurable fault handler (BusFault, usage fault, or memory management fault) to hard fault level without invoking a hard fault. This allows the fault handler to pretend to be the hard fault handler, whith the ability to:</p>
+<ol type="1">
+<li><b>Mask BusFault</b> by setting the BFHFNMIGN in the Configuration Control register. It can be used to test the bus system without causing a lockup.</li>
+<li><b>Bypass the MPU</b>, allowing accessing the MPU protected memory location without reprogramming the MPU to just carry out a few transfers for fixing faults.</li>
+</ol>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">faultMask</td><td>FAULTMASK register value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Is cleared automatically upon exiting the exception handler, except when returning from the NMI handler.</li>
+<li>When set, it changes the effective current priority level to -1, so that even the hard fault handler is blocked.</li>
+<li>Can be used by fault handlers to change their priority to -1 to have access to some features for hard fault exceptions (see above).</li>
+<li>When set, lockups can still be caused by incorrect or undefined instructions, or by using SVC in the wrong priority level.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8">__get_FAULTMASK</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#ga70b4e1a6c1c86eb913fb9d6e8400156f" title="Set the Priority Mask bit.">__set_PRIMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga6f26bd75ca7e3247f27b272acc10536b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_FPSCR </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fpscr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Floating-Point Status Control Register (FPSCR) value. <br/>
+<br/>
+ FPSCR provides all necessary User level control of the floating-point system. <br/>
+</p>
+<ul>
+<li><b>N</b> (FPSC[31]) (Negative flag)<ul>
+<li>=1 The instruction result has a negative value (when interpreted as signed integer).</li>
+<li>=0 The instruction result has a positive value or equal zero. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>Z</b> (FPSC[30]) (Zero flag)<ul>
+<li>=1 The instruction result is zero. Or, after a compare instruction, when the two values are the same. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>C</b> (FPSC[29]) (Carry or borrow flag)<ul>
+<li>=1 For unsigned additions, if an unsigned overflow occurred.</li>
+<li>=<em>inverse of borrow output status</em> For unsigned subtract operations. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>V</b> (FPSC[28]) (Overflow flag)<ul>
+<li>=1 A signed overflow occurred (for signed additions or subtractions). <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>AHP</b> (FPSC[26]) (Alternative half-precision flag)<ul>
+<li>=1 Alternative half-precision format selected.</li>
+<li>=0 IEEE half-precision format selected. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>DN</b> (FPSC[25]) (Default NaN mode control flag)<ul>
+<li>=1 Any operation involving one or more NaNs returns the Default NaN.</li>
+<li>=0 NaN operands propagate through to the output of a floating-point operation. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>FZ</b> (FPSC[24]) (Flush-to-zero mode control flag)<ul>
+<li>=1 Flush-to-zero mode enabled.</li>
+<li>=0 Flush-to-zero mode disabled. Behavior of the floating-point system is fully compliant with the IEEE 754 standard. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>RMode</b> (FPSC[23:22]) (Rounding Mode control flags)<ul>
+<li>=0b00 Round to Nearest (RN) mode.</li>
+<li>=0b01 Round towards Plus Infinity (RP) mode.</li>
+<li>=0b10 Round towards Minus Infinity (RM) mode.</li>
+<li>=0b11 Round towards Zero (RZ) mode.</li>
+<li>The specified rounding mode is used by almost all floating-point instructions. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>IDC</b> (FPSC[7]) (Input Denormal cumulative exception flags)<ul>
+<li>See Cumulative exception bits (FPSC[4:0]). <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>IXC</b> (FPSC[4]) (Inexact cumulative exception flag)<ul>
+<li>=1 Exception occurred.</li>
+<li>=0 Value has to be set explicitly.</li>
+<li>Flag is not cleared automatically. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>UFC</b> (FPSC[3]) (Underflow cumulative exception flag)<ul>
+<li>=1 Exception occurred.</li>
+<li>=0 Value has to be set explicitly.</li>
+<li>Flag is not cleared automatically. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>OFC</b> (FPSC[2]) (Overflow cumulative exception flag)<ul>
+<li>=1 Exception occurred.</li>
+<li>=0 Value has to be set explicitly.</li>
+<li>Flag is not cleared automatically. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>DZC</b> (FPSC[1]) (Division by Zero cumulative exception flag)<ul>
+<li>=1 Exception occurred.</li>
+<li>=0 Value has to be set explicitly.</li>
+<li>Flag is not cleared automatically. <br/>
+<br/>
+</li>
+</ul>
+</li>
+<li><b>IOC</b> (FPSC[0]) (Invalid Operation cumulative exception flag)<ul>
+<li>=1 Exception occurred.</li>
+<li>=0 Value has to be set explicitly.</li>
+<li>Flag is not cleared automatically.</li>
+</ul>
+</li>
+</ul>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">fpscr</td><td>FPSCR value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only for Cortex-M4 and Cortex-M7.</li>
+<li>The variable <b>__FPU_PRESENT</b> has to be set to 1.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gad6d7eca9ddd1d9072dd7b020cfe64905">__get_FPSCR</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga0bf9564ebc1613a8faba014275dac2a4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_MSP </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>topOfMainStack</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Main Status Pointer (MSP) value using the instruction <b>MSR</b>. <br/>
+<br/>
+ Physically two different stack pointers (SP) exist:</p>
+<ul>
+<li>The Main Stack Pointer (MSP) is the default stack pointer after reset. It is also used when running exception handlers (handler mode).</li>
+<li>The Process Stack Pointer (PSP), which can be used only in thread mode.</li>
+</ul>
+<p>Register R13 banks the SP. The SP selection is determined by the bit[1] of the CONTROL register:</p>
+<ul>
+<li>=0 MSP is the current stack pointer. This is also the default SP. The initial value is loaded from the first 32-bit word of the vector table from the program memory.</li>
+<li>=1 PSP is the current stack pointer. The initial value is undefined.</li>
+</ul>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">topOfMainStack</td><td>MSP value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only one of the two SPs is visible at a time.</li>
+<li>For many applications, the system can completely rely on the MSP.</li>
+<li>The PSP is normally used in designs with an OS where the stack memory for OS Kernel must be separated from the application code.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2">__get_MSP</a>; <a class="el" href="group___core___register__gr.html#ga48e5853f417e17a8a65080f6a605b743" title="Set the PSP register.">__set_PSP</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga70b4e1a6c1c86eb913fb9d6e8400156f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_PRIMASK </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>priMask</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Priority Mask register (PRIMASK) value using the instruction <b>MSR</b>. <br/>
+<br/>
+ PRIMASK is a 1-bit-wide interrupt mask register. When set, it blocks all interrupts apart from the non-maskable interrupt (NMI) and the hard fault exception. The PRIMASK prevents activation of all exceptions with configurable priority.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">priMask</td><td>Priority Mask<ul>
+<li>=0 no effect</li>
+<li>=1 prevents the activation of all exceptions with configurable priority</li>
+</ul>
+</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>When set, PRIMASK effectively changes the current priority level to 0. This is the highest programmable level.</li>
+<li>When set and a fault occurs, the hard fault handler will be executed.</li>
+<li>Useful for temprorarily disabling all interrupts for timing critical tasks.</li>
+<li>Does not have the ability to mask BusFault or bypass MPU.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02">__get_PRIMASK</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>; <a class="el" href="group___core___register__gr.html#gaa5587cc09031053a40a35c14ec36078a" title="Set the FAULTMASK register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_FAULTMASK</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga48e5853f417e17a8a65080f6a605b743"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __set_PSP </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>topOfProcStack</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the Program Status Pointer (PSP) value using the instruction <b>MSR</b>. <br/>
+<br/>
+ Physically two different stack pointers (SP) exist:</p>
+<ul>
+<li>The Main Stack Pointer (MSP) is the default stack pointer after reset. It is also used when running exception handlers (handler mode).</li>
+<li>The Process Stack Pointer (PSP), which can be used only in thread mode.</li>
+</ul>
+<p>Register R13 banks the SP. The SP selection is determined by the bit[1] of the CONTROL register:</p>
+<ul>
+<li>=0 MSP is the current stack pointer. This is also the default SP. The initial value is loaded from the first 32-bit word of the vector table from the program memory.</li>
+<li>=1 PSP is the current stack pointer. The initial value is undefined.</li>
+</ul>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">topOfProcStack</td><td>PSP value to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Only one of the two SPs is visible at a time.</li>
+<li>For many applications, the system can completely rely on the MSP.</li>
+<li>The PSP is normally used in designs with an OS where the stack memory for OS Kernel must be separated from the application code.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9">__get_PSP</a>; <a class="el" href="group___core___register__gr.html#ga0bf9564ebc1613a8faba014275dac2a4" title="Set the MSP register.">__set_MSP</a>; <a class="el" href="group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c" title="Set the CONTROL Register.">__set_CONTROL</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/Core/html/group___core___register__gr.js b/Documentation/Core/html/group___core___register__gr.js
new file mode 100644
index 0000000..9bdcfdb
--- /dev/null
+++ b/Documentation/Core/html/group___core___register__gr.js
@@ -0,0 +1,25 @@
+var group___core___register__gr =
+[
+    [ "__disable_fault_irq", "group___core___register__gr.html#ga9d174f979b2f76fdb3228a9b338fd939", null ],
+    [ "__disable_irq", "group___core___register__gr.html#gaeb8e5f7564a8ea23678fe3c987b04013", null ],
+    [ "__enable_fault_irq", "group___core___register__gr.html#ga6575d37863cec5d334864f93b5b783bf", null ],
+    [ "__enable_irq", "group___core___register__gr.html#ga0f98dfbd252b89d12564472dbeba9c27", null ],
+    [ "__get_APSR", "group___core___register__gr.html#ga811c0012221ee918a75111ca84c4d5e7", null ],
+    [ "__get_BASEPRI", "group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667", null ],
+    [ "__get_CONTROL", "group___core___register__gr.html#ga963cf236b73219ce78e965deb01b81a7", null ],
+    [ "__get_FAULTMASK", "group___core___register__gr.html#gaa78e4e6bf619a65e9f01b4af13fed3a8", null ],
+    [ "__get_FPSCR", "group___core___register__gr.html#gad6d7eca9ddd1d9072dd7b020cfe64905", null ],
+    [ "__get_IPSR", "group___core___register__gr.html#ga2c32fc5c7f8f07fb3d436c6f6fe4e8c8", null ],
+    [ "__get_MSP", "group___core___register__gr.html#gab898559392ba027814e5bbb5a98b38d2", null ],
+    [ "__get_PRIMASK", "group___core___register__gr.html#ga799b5d9a2ae75e459264c8512c7c0e02", null ],
+    [ "__get_PSP", "group___core___register__gr.html#ga914dfa8eff7ca53380dd54cf1d8bebd9", null ],
+    [ "__get_xPSR", "group___core___register__gr.html#ga732e08184154f44a617963cc65ff95bd", null ],
+    [ "__set_BASEPRI", "group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882", null ],
+    [ "__set_BASEPRI_MAX", "group___core___register__gr.html#ga62fa63d39cf22df348857d5f44ab64d9", null ],
+    [ "__set_CONTROL", "group___core___register__gr.html#gac64d37e7ff9de06437f9fb94bbab8b6c", null ],
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+    [ "__set_FPSCR", "group___core___register__gr.html#ga6f26bd75ca7e3247f27b272acc10536b", null ],
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index 0000000..8d2c5bb
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+++ b/Documentation/Core/html/group___dcache__functions__m7.html
@@ -0,0 +1,356 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>D-Cache Functions</title>
+<title>CMSIS-CORE: D-Cache Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___dcache__functions__m7.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">D-Cache Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__cache__functions__m7.html">Cache Functions  (only Cortex-M7)</a></div></div><!--header-->
+<div class="contents">
+
+<p>Functions for the data cache.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga63aa640d9006021a796a5dcf9c7180b6"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga63aa640d9006021a796a5dcf9c7180b6">SCB_EnableDCache</a> (void)</td></tr>
+<tr class="memdesc:ga63aa640d9006021a796a5dcf9c7180b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enable D-Cache.  <a href="#ga63aa640d9006021a796a5dcf9c7180b6"></a><br/></td></tr>
+<tr class="separator:ga63aa640d9006021a796a5dcf9c7180b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6468170f90d270caab8116e7a4f0b5fe"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga6468170f90d270caab8116e7a4f0b5fe">SCB_DisableDCache</a> (void)</td></tr>
+<tr class="memdesc:ga6468170f90d270caab8116e7a4f0b5fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Disable D-Cache.  <a href="#ga6468170f90d270caab8116e7a4f0b5fe"></a><br/></td></tr>
+<tr class="separator:ga6468170f90d270caab8116e7a4f0b5fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gace2d30db08887d0bdb818b8a785a5ce6"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#gace2d30db08887d0bdb818b8a785a5ce6">SCB_InvalidateDCache</a> (void)</td></tr>
+<tr class="memdesc:gace2d30db08887d0bdb818b8a785a5ce6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Invalidate D-Cache.  <a href="#gace2d30db08887d0bdb818b8a785a5ce6"></a><br/></td></tr>
+<tr class="separator:gace2d30db08887d0bdb818b8a785a5ce6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga55583e3065c6eabca204b8b89b121c4c"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga55583e3065c6eabca204b8b89b121c4c">SCB_CleanDCache</a> (void)</td></tr>
+<tr class="memdesc:ga55583e3065c6eabca204b8b89b121c4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clean D-Cache.  <a href="#ga55583e3065c6eabca204b8b89b121c4c"></a><br/></td></tr>
+<tr class="separator:ga55583e3065c6eabca204b8b89b121c4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1b741def9e3b2ca97dc9ea49b8ce505c"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga1b741def9e3b2ca97dc9ea49b8ce505c">SCB_CleanInvalidateDCache</a> (void)</td></tr>
+<tr class="memdesc:ga1b741def9e3b2ca97dc9ea49b8ce505c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clean &amp; Invalidate D-Cache.  <a href="#ga1b741def9e3b2ca97dc9ea49b8ce505c"></a><br/></td></tr>
+<tr class="separator:ga1b741def9e3b2ca97dc9ea49b8ce505c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga503ef7ef58c0773defd15a82f6336c09"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga503ef7ef58c0773defd15a82f6336c09">SCB_InvalidateDCache_by_Addr</a> (uint32_t *addr, int32_t dsize)</td></tr>
+<tr class="memdesc:ga503ef7ef58c0773defd15a82f6336c09"><td class="mdescLeft">&#160;</td><td class="mdescRight">D-Cache Invalidate by address.  <a href="#ga503ef7ef58c0773defd15a82f6336c09"></a><br/></td></tr>
+<tr class="separator:ga503ef7ef58c0773defd15a82f6336c09"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga696fadbf7b9cc71dad42fab61873a40d"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga696fadbf7b9cc71dad42fab61873a40d">SCB_CleanDCache_by_Addr</a> (uint32_t *addr, int32_t dsize)</td></tr>
+<tr class="memdesc:ga696fadbf7b9cc71dad42fab61873a40d"><td class="mdescLeft">&#160;</td><td class="mdescRight">D-Cache Clean by address.  <a href="#ga696fadbf7b9cc71dad42fab61873a40d"></a><br/></td></tr>
+<tr class="separator:ga696fadbf7b9cc71dad42fab61873a40d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga630131b2572eaa16b569ed364dfc895e"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html#ga630131b2572eaa16b569ed364dfc895e">SCB_CleanInvalidateDCache_by_Addr</a> (uint32_t *addr, int32_t dsize)</td></tr>
+<tr class="memdesc:ga630131b2572eaa16b569ed364dfc895e"><td class="mdescLeft">&#160;</td><td class="mdescRight">D-Cache Clean and Invalidate by address.  <a href="#ga630131b2572eaa16b569ed364dfc895e"></a><br/></td></tr>
+<tr class="separator:ga630131b2572eaa16b569ed364dfc895e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>// close ICache functions </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga55583e3065c6eabca204b8b89b121c4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_CleanDCache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function cleans the entire data cache. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga696fadbf7b9cc71dad42fab61873a40d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_CleanDCache_by_Addr </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>addr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dsize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">addr</td><td>address (aligned to 32-byte boundary) </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">dsize</td><td>size of memory block (in number of bytes)</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The function cleans a memory block of size <em>dsize</em> [bytes] starting at address <em>address</em>. The address is aligned to 32-byte boundry. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga1b741def9e3b2ca97dc9ea49b8ce505c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_CleanInvalidateDCache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function cleans and invalidates the entire data cache. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga630131b2572eaa16b569ed364dfc895e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_CleanInvalidateDCache_by_Addr </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>addr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dsize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">addr</td><td>address (aligned to 32-byte boundary) </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">dsize</td><td>size of memory block (in number of bytes)</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The function invalidates and cleans a memory block of size <em>dsize</em> [bytes] starting at address <em>address</em>. The address is aligned to 32-byte boundry. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga6468170f90d270caab8116e7a4f0b5fe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_DisableDCache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function turns off the entire data cache.</p>
+<dl class="section note"><dt>Note</dt><dd>When disabling the data cache, you must clean (<a class="el" href="group___dcache__functions__m7.html#ga55583e3065c6eabca204b8b89b121c4c">SCB_CleanDCache</a>) the entire cache to ensure that any dirty data is flushed to external memory. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga63aa640d9006021a796a5dcf9c7180b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_EnableDCache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function turns on the entire data cache. </p>
+<dl class="section note"><dt>Note</dt><dd>Before enabling the data cache, you must invalidate the entire data cache (<a class="el" href="group___dcache__functions__m7.html#gace2d30db08887d0bdb818b8a785a5ce6">SCB_InvalidateDCache</a>), because external memory might have changed from when the cache was disabled.</dd>
+<dd>
+After reset, you must invalidate (<a class="el" href="group___dcache__functions__m7.html#gace2d30db08887d0bdb818b8a785a5ce6">SCB_InvalidateDCache</a>) each cache before enabling it. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gace2d30db08887d0bdb818b8a785a5ce6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_InvalidateDCache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function invalidates the entire data cache.</p>
+<dl class="section note"><dt>Note</dt><dd>After reset, you must invalidate each cache before enabling (<a class="el" href="group___dcache__functions__m7.html#ga63aa640d9006021a796a5dcf9c7180b6">SCB_EnableDCache</a>) it. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga503ef7ef58c0773defd15a82f6336c09"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_InvalidateDCache_by_Addr </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>addr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dsize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">addr</td><td>address (aligned to 32-byte boundary) </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">dsize</td><td>size of memory block (in number of bytes)</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The function invalidates a memory block of size <em>dsize</em> [bytes] starting at address <em>address</em>. The address is aligned to 32-byte boundry. </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/group___dcache__functions__m7.js b/Documentation/Core/html/group___dcache__functions__m7.js
new file mode 100644
index 0000000..c789ca5
--- /dev/null
+++ b/Documentation/Core/html/group___dcache__functions__m7.js
@@ -0,0 +1,11 @@
+var group___dcache__functions__m7 =
+[
+    [ "SCB_CleanDCache", "group___dcache__functions__m7.html#ga55583e3065c6eabca204b8b89b121c4c", null ],
+    [ "SCB_CleanDCache_by_Addr", "group___dcache__functions__m7.html#ga696fadbf7b9cc71dad42fab61873a40d", null ],
+    [ "SCB_CleanInvalidateDCache", "group___dcache__functions__m7.html#ga1b741def9e3b2ca97dc9ea49b8ce505c", null ],
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Debug Access</title>
+<title>CMSIS-CORE: Debug Access</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
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+  $(document).ready(initResizable);
+</script>
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+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+$(document).ready(function(){initNavTree('group___i_t_m___debug__gr.html','');});
+</script>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">Debug Access</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Debug Access to the Instrumented Trace Macrocell (ITM)  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaaa7c716331f74d644bf6bf25cd3392d1"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">ITM_SendChar</a> (uint32_t ch)</td></tr>
+<tr class="memdesc:gaaa7c716331f74d644bf6bf25cd3392d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Transmits a character via channel 0.  <a href="#gaaa7c716331f74d644bf6bf25cd3392d1"></a><br/></td></tr>
+<tr class="separator:gaaa7c716331f74d644bf6bf25cd3392d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga37b8f41cae703b5ff6947e271065558c"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_t_m___debug__gr.html#ga37b8f41cae703b5ff6947e271065558c">ITM_ReceiveChar</a> (void)</td></tr>
+<tr class="memdesc:ga37b8f41cae703b5ff6947e271065558c"><td class="mdescLeft">&#160;</td><td class="mdescRight">ITM Receive Character.  <a href="#ga37b8f41cae703b5ff6947e271065558c"></a><br/></td></tr>
+<tr class="separator:ga37b8f41cae703b5ff6947e271065558c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7f9bbabd9756d1a7eafb2d9bf27e0535"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_t_m___debug__gr.html#ga7f9bbabd9756d1a7eafb2d9bf27e0535">ITM_CheckChar</a> (void)</td></tr>
+<tr class="memdesc:ga7f9bbabd9756d1a7eafb2d9bf27e0535"><td class="mdescLeft">&#160;</td><td class="mdescRight">ITM Check Character.  <a href="#ga7f9bbabd9756d1a7eafb2d9bf27e0535"></a><br/></td></tr>
+<tr class="separator:ga7f9bbabd9756d1a7eafb2d9bf27e0535"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:ga12e68e55a7badc271b948d6c7230b2a8"><td class="memItemLeft" align="right" valign="top">volatile int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a></td></tr>
+<tr class="memdesc:ga12e68e55a7badc271b948d6c7230b2a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">external variable to receive characters  <a href="#ga12e68e55a7badc271b948d6c7230b2a8"></a><br/></td></tr>
+<tr class="separator:ga12e68e55a7badc271b948d6c7230b2a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>CMSIS provides additional debug functions to enlarge the Debug Access. Data can be transmitted via a certain global buffer variable towards the target system.</p>
+<p>The Cortex-M3 / Cortex-M4 / Cortex-M7 incorporates the <b>Instrumented Trace Macrocell (ITM)</b> that provides together with the <b>Serial Viewer Output (SVO)</b> trace capabilities for the microcontroller system. The ITM has 32 communication channels; two ITM communication channels are used by CMSIS to output the following information:</p>
+<ul>
+<li><b>ITM Channel 0</b>: implements the <a class="el" href="group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1">ITM_SendChar</a> function which can be used for printf-style output via the debug interface.</li>
+</ul>
+<ul>
+<li><b>ITM Channel 31</b>: is reserved for the RTOS kernel and can be used for kernel awareness debugging.</li>
+</ul>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>ITM channels have 4 groups with 8 channels each, whereby each group can be configured for access rights in the Unprivileged level.</li>
+<li>The ITM channel 0 can be enabled for the user task.</li>
+<li>ITM channel 31 can be accessed only in Privileged mode from the RTOS kernel itself. The ITM channel 31 has been selected for the RTOS kernel because some kernels may use the Privileged level for program execution.</li>
+</ul>
+</dd></dl>
+<hr/>
+ <h1><a class="anchor" id="ITM_debug_uv"></a>
+ITM Debugger Support</h1>
+<p>A debugger may support a <b>Debug (printf) Viewer</b> window to display data.</p>
+<p><b>Direction: Microcontroller &ndash;&gt; Debugger:</b></p>
+<ul>
+<li>Characters received via ITM communication channel 0 are written in a printf-style to the <b>Debug (printf) Viewer</b> window.</li>
+</ul>
+<p><b>Direction: Debugger &ndash;&gt; Microcontroller:</b></p>
+<ul>
+<li>Check if <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a> variable is available (only performed once).</li>
+<li>Read the character from the <b>Debug (printf) Viewer</b> window.</li>
+<li>If <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a> is empty, write character to <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a>.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The current solution does not use a buffer mechanism for transmitting the characters.</dd></dl>
+<hr/>
+ <h1><a class="anchor" id="itm_debug_ex"></a>
+Example:</h1>
+<p>Example for the usage of the ITM Channel 31 for RTOS Kernels:</p>
+<div class="fragment"><div class="line"><span class="comment">// check if debugger connected and ITM channel enabled for tracing</span></div>
+<div class="line"><span class="keywordflow">if</span> ((CoreDebug-&gt;DEMCR &amp; CoreDebug_DEMCR_TRCENA) &amp;&amp;</div>
+<div class="line">    (ITM-&gt;TCR &amp; ITM_TCR_ITMENA) &amp;&amp;</div>
+<div class="line">    (ITM-&gt;TER &amp; (1UL &gt;&gt; 31))) {</div>
+<div class="line">    </div>
+<div class="line">    <span class="comment">// transmit trace data</span></div>
+<div class="line">    <span class="keywordflow">while</span> (ITM-&gt;PORT31_U32 == 0);</div>
+<div class="line">    ITM-&gt;PORT[31].u8 = task_id;      <span class="comment">// id of next task</span></div>
+<div class="line">    <span class="keywordflow">while</span> (ITM-&gt;PORT[31].u32 == 0);</div>
+<div class="line">    ITM-&gt;PORT[31].u32 = task_status; <span class="comment">// status information</span></div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga7f9bbabd9756d1a7eafb2d9bf27e0535"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t ITM_CheckChar </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reads the external variable <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a> and checks whether a character is available or not.</p>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>=0 - No character available</li>
+<li>=1 - Character available </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga37b8f41cae703b5ff6947e271065558c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t ITM_ReceiveChar </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function inputs a character via the external variable <a class="el" href="group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8">ITM_RxBuffer</a>. It returns when no debugger is connected that has booked the output. It is blocking when a debugger is connected, but the previously sent character has not been transmitted.</p>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>Received character</li>
+<li>=1 - No character received </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaaa7c716331f74d644bf6bf25cd3392d1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t ITM_SendChar </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ch</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function transmits a character via the ITM channel 0. It returns when no debugger is connected that has booked the output. It is blocking when a debugger is connected, but the previously sent character has not been transmitted.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">ch</td><td>Character to transmit</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Character to transmit </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ga12e68e55a7badc271b948d6c7230b2a8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">volatile int32_t ITM_RxBuffer</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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new file mode 100644
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+    [ "ITM_ReceiveChar", "group___i_t_m___debug__gr.html#ga37b8f41cae703b5ff6947e271065558c", null ],
+    [ "ITM_SendChar", "group___i_t_m___debug__gr.html#gaaa7c716331f74d644bf6bf25cd3392d1", null ],
+    [ "ITM_RxBuffer", "group___i_t_m___debug__gr.html#ga12e68e55a7badc271b948d6c7230b2a8", null ]
+];
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>I-Cache Functions</title>
+<title>CMSIS-CORE: I-Cache Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
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+$(document).ready(function(){initNavTree('group___icache__functions__m7.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">I-Cache Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__cache__functions__m7.html">Cache Functions  (only Cortex-M7)</a></div></div><!--header-->
+<div class="contents">
+
+<p>Functions for the instruction cache.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaf9e7c6c8e16ada1f95e5bf5a03505b68"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___icache__functions__m7.html#gaf9e7c6c8e16ada1f95e5bf5a03505b68">SCB_EnableICache</a> (void)</td></tr>
+<tr class="memdesc:gaf9e7c6c8e16ada1f95e5bf5a03505b68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enable I-Cache.  <a href="#gaf9e7c6c8e16ada1f95e5bf5a03505b68"></a><br/></td></tr>
+<tr class="separator:gaf9e7c6c8e16ada1f95e5bf5a03505b68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaba757390852f95b3ac2d8638c717d8d8"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___icache__functions__m7.html#gaba757390852f95b3ac2d8638c717d8d8">SCB_DisableICache</a> (void)</td></tr>
+<tr class="memdesc:gaba757390852f95b3ac2d8638c717d8d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Disable I-Cache.  <a href="#gaba757390852f95b3ac2d8638c717d8d8"></a><br/></td></tr>
+<tr class="separator:gaba757390852f95b3ac2d8638c717d8d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga50d373a785edd782c5de5a3b55e30ff3"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3">SCB_InvalidateICache</a> (void)</td></tr>
+<tr class="memdesc:ga50d373a785edd782c5de5a3b55e30ff3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Invalidate I-Cache.  <a href="#ga50d373a785edd782c5de5a3b55e30ff3"></a><br/></td></tr>
+<tr class="separator:ga50d373a785edd782c5de5a3b55e30ff3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaba757390852f95b3ac2d8638c717d8d8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_DisableICache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function turns off the instruction cache. </p>
+
+</div>
+</div>
+<a class="anchor" id="gaf9e7c6c8e16ada1f95e5bf5a03505b68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_EnableICache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function turns on the instruction cache. </p>
+<dl class="section note"><dt>Note</dt><dd>Before enabling the instruction cache, you must invalidate (<a class="el" href="group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3">SCB_InvalidateICache</a>) the entire instruction cache if external memory might have changed since the cache was disabled. </dd>
+<dd>
+After reset, you must invalidate (<a class="el" href="group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3">SCB_InvalidateICache</a>) each cache before enabling it. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga50d373a785edd782c5de5a3b55e30ff3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE void SCB_InvalidateICache </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function invalidates the instruction cache. The instruction cache is never dirty so cache RAM errors are always recoverable by invalidating the cache and retrying the instruction. </p>
+<dl class="section note"><dt>Note</dt><dd>After reset, you must invalidate each cache before enabling (<a class="el" href="group___icache__functions__m7.html#gaf9e7c6c8e16ada1f95e5bf5a03505b68">SCB_EnableICache</a>) it. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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new file mode 100644
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+[
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+    [ "SCB_EnableICache", "group___icache__functions__m7.html#gaf9e7c6c8e16ada1f95e5bf5a03505b68", null ],
+    [ "SCB_InvalidateICache", "group___icache__functions__m7.html#ga50d373a785edd782c5de5a3b55e30ff3", null ]
+];
\ No newline at end of file
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Interrupts and Exceptions (NVIC)</title>
+<title>CMSIS-CORE: Interrupts and Exceptions (NVIC)</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+$(document).ready(function(){initNavTree('group___n_v_i_c__gr.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#enum-members">Enumerations</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Interrupts and Exceptions (NVIC)</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Explains how to use interrupts and exceptions and access functions for the Nested Vector Interrupt Controller (NVIC).  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:ga7e1129cd8a196f4284d41db3e82ad5c8"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> { <br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ade177d9c70c89e084093024b932a4e30">NonMaskableInt_IRQn</a> = -14, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8ab1a222a34a32f0ef5ac65e714efc1f85">HardFault_IRQn</a> = -13, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a33ff1cf7098de65d61b6354fee6cd5aa">MemoryManagement_IRQn</a> = -12, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8693500eff174f16119e96234fee73af">BusFault_IRQn</a> = -11, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6895237c9443601ac832efa635dd8bbf">UsageFault_IRQn</a> = -10, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237">SVCall_IRQn</a> = -5, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a8e033fcef7aed98a31c60a7de206722c">DebugMonitor_IRQn</a> = -4, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a03c3cc89984928816d81793fc7bce4a2">PendSV_IRQn</a> = -2, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7">SysTick_IRQn</a> = -1, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8aa62e040960b4beb6cba107e4703c12d2">WWDG_STM_IRQn</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a853e0f318108110e0527f29733d11f86">PVD_STM_IRQn</a> = 1
+<br/>
+ }</td></tr>
+<tr class="memdesc:ga7e1129cd8a196f4284d41db3e82ad5c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Definition of IRQn numbers.  <a href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">More...</a><br/></td></tr>
+<tr class="separator:ga7e1129cd8a196f4284d41db3e82ad5c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gad78f447e891789b4d8f2e5b21eeda354"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354">NVIC_SetPriorityGrouping</a> (uint32_t PriorityGroup)</td></tr>
+<tr class="memdesc:gad78f447e891789b4d8f2e5b21eeda354"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gad78f447e891789b4d8f2e5b21eeda354"></a><br/></td></tr>
+<tr class="separator:gad78f447e891789b4d8f2e5b21eeda354"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa81b19849367d3cdb95ac108c500fa78"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78">NVIC_GetPriorityGrouping</a> (void)</td></tr>
+<tr class="memdesc:gaa81b19849367d3cdb95ac108c500fa78"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gaa81b19849367d3cdb95ac108c500fa78"></a><br/></td></tr>
+<tr class="separator:gaa81b19849367d3cdb95ac108c500fa78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga530ad9fda2ed1c8b70e439ecfe80591f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f">NVIC_EnableIRQ</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:ga530ad9fda2ed1c8b70e439ecfe80591f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Enable an external interrupt.  <a href="#ga530ad9fda2ed1c8b70e439ecfe80591f"></a><br/></td></tr>
+<tr class="separator:ga530ad9fda2ed1c8b70e439ecfe80591f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga736ba13a76eb37ef6e2c253be8b0331c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga736ba13a76eb37ef6e2c253be8b0331c">NVIC_DisableIRQ</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:ga736ba13a76eb37ef6e2c253be8b0331c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Disable an external interrupt.  <a href="#ga736ba13a76eb37ef6e2c253be8b0331c"></a><br/></td></tr>
+<tr class="separator:ga736ba13a76eb37ef6e2c253be8b0331c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga95a8329a680b051ecf3ee8f516acc662"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga95a8329a680b051ecf3ee8f516acc662">NVIC_GetPendingIRQ</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:ga95a8329a680b051ecf3ee8f516acc662"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the pending interrupt.  <a href="#ga95a8329a680b051ecf3ee8f516acc662"></a><br/></td></tr>
+<tr class="separator:ga95a8329a680b051ecf3ee8f516acc662"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3b885147ef9965ecede49614de8df9d2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga3b885147ef9965ecede49614de8df9d2">NVIC_SetPendingIRQ</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:ga3b885147ef9965ecede49614de8df9d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set an interrupt to pending.  <a href="#ga3b885147ef9965ecede49614de8df9d2"></a><br/></td></tr>
+<tr class="separator:ga3b885147ef9965ecede49614de8df9d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga382ad6bedd6eecfdabd1b94dd128a01a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga382ad6bedd6eecfdabd1b94dd128a01a">NVIC_ClearPendingIRQ</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:ga382ad6bedd6eecfdabd1b94dd128a01a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear an interrupt from pending.  <a href="#ga382ad6bedd6eecfdabd1b94dd128a01a"></a><br/></td></tr>
+<tr class="separator:ga382ad6bedd6eecfdabd1b94dd128a01a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadf4252e600661fd762cfc0d1a9f5b892"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#gadf4252e600661fd762cfc0d1a9f5b892">NVIC_GetActive</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:gadf4252e600661fd762cfc0d1a9f5b892"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the interrupt active status [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gadf4252e600661fd762cfc0d1a9f5b892"></a><br/></td></tr>
+<tr class="separator:gadf4252e600661fd762cfc0d1a9f5b892"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5bb7f43ad92937c039dee3d36c3c2798"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798">NVIC_SetPriority</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn, uint32_t priority)</td></tr>
+<tr class="memdesc:ga5bb7f43ad92937c039dee3d36c3c2798"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the priority for an interrupt.  <a href="#ga5bb7f43ad92937c039dee3d36c3c2798"></a><br/></td></tr>
+<tr class="separator:ga5bb7f43ad92937c039dee3d36c3c2798"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab18fb9f6c5f4c70fdd73047f0f7c8395"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395">NVIC_GetPriority</a> (<a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> IRQn)</td></tr>
+<tr class="memdesc:gab18fb9f6c5f4c70fdd73047f0f7c8395"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the priority of an interrupt.  <a href="#gab18fb9f6c5f4c70fdd73047f0f7c8395"></a><br/></td></tr>
+<tr class="separator:gab18fb9f6c5f4c70fdd73047f0f7c8395"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0688c59605b119c53c71b2505ab23eb5"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5">NVIC_EncodePriority</a> (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)</td></tr>
+<tr class="memdesc:ga0688c59605b119c53c71b2505ab23eb5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Encodes Priority [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga0688c59605b119c53c71b2505ab23eb5"></a><br/></td></tr>
+<tr class="separator:ga0688c59605b119c53c71b2505ab23eb5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad3cbca1be7a4726afa9448a9acd89377"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377">NVIC_DecodePriority</a> (uint32_t Priority, uint32_t PriorityGroup, uint32_t *pPreemptPriority, uint32_t *pSubPriority)</td></tr>
+<tr class="memdesc:gad3cbca1be7a4726afa9448a9acd89377"><td class="mdescLeft">&#160;</td><td class="mdescRight">Decode the interrupt priority [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gad3cbca1be7a4726afa9448a9acd89377"></a><br/></td></tr>
+<tr class="separator:gad3cbca1be7a4726afa9448a9acd89377"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1b47d17e90b6a03e7bd1ec6a0d549b46"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___n_v_i_c__gr.html#ga1b47d17e90b6a03e7bd1ec6a0d549b46">NVIC_SystemReset</a> (void)</td></tr>
+<tr class="memdesc:ga1b47d17e90b6a03e7bd1ec6a0d549b46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset the system.  <a href="#ga1b47d17e90b6a03e7bd1ec6a0d549b46"></a><br/></td></tr>
+<tr class="separator:ga1b47d17e90b6a03e7bd1ec6a0d549b46"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>ARM provides a template file <b>startup_<em>device</em></b> for each supported compiler. The file must be adapted by the silicon vendor to include interrupt vectors for all device-specific interrupt handlers. Each interrupt handler is defined as a <b><em>weak</em></b> function to an dummy handler. These interrupt handlers can be used directly in application software without being adapted by the programmer.</p>
+<p>The table below describes the core exception names and their availability in various Cortex-M cores.</p>
+<table  class="cmtable" summary="Core Exception Name">
+<tr>
+<th>Core Exception Name </th><th>IRQn Value </th><th>M0 </th><th>M0+ </th><th>M3 </th><th>M4 </th><th>M7 </th><th>SC000 </th><th>SC300 </th><th>Description  </th></tr>
+<tr>
+<td><b>NonMaskableInt_IRQn</b> </td><td>-14 </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Non Maskable Interrupt  </td></tr>
+<tr>
+<td><b>HardFault_IRQn</b> </td><td>-13 </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Hard Fault Interrupt  </td></tr>
+<tr>
+<td><b>MemoryManagement_IRQn</b> </td><td>-12 </td><td>&#160; </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Memory Management Interrupt  </td></tr>
+<tr>
+<td><b>BusFault_IRQn</b> </td><td>-11 </td><td>&#160; </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Bus Fault Interrupt  </td></tr>
+<tr>
+<td><b>UsageFault_IRQn</b> </td><td>-10 </td><td>&#160; </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Usage Fault Interrupt  </td></tr>
+<tr>
+<td><b>SVCall_IRQn</b> </td><td>-5 </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>SV Call Interrupt   </td></tr>
+<tr>
+<td><b>DebugMonitor_IRQn</b> </td><td>-4 </td><td>&#160; </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>&#160; </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Debug Monitor Interrupt  </td></tr>
+<tr>
+<td><b>PendSV_IRQn</b> </td><td>-2 </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>Pend SV Interrupt  </td></tr>
+<tr>
+<td><b>SysTick_IRQn</b> </td><td>-1 </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td><div class="image">
+<img src="check.png"  alt="available"/>
+</div>
+ </td><td>System Tick Interrupt  </td></tr>
+</table>
+<h1><a class="anchor" id="cmsis_vectortable_M0_sec"></a>
+For Cortex-M0, Cortex-M0+, or SC000</h1>
+<p>The following exception names are fixed and define the start of the vector table for Cortex-M0, Cortex-M0+, or SC000:</p>
+<div class="fragment"><div class="line">__Vectors       DCD     __initial_sp              ; Top of Stack</div>
+<div class="line">                DCD     Reset_Handler             ; Reset Handler</div>
+<div class="line">                DCD     NMI_Handler               ; NMI Handler</div>
+<div class="line">                DCD     HardFault_Handler         ; Hard Fault Handler</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     SVC_Handler               ; SVCall Handler</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     PendSV_Handler            ; PendSV Handler</div>
+<div class="line">                DCD     SysTick_Handler           ; SysTick Handler</div>
+</div><!-- fragment --><h1><a class="anchor" id="cmsis_vectortable_M3_sec"></a>
+For Cortex-M3</h1>
+<p>The following exception names are fixed and define the start of the vector table for a Cortex-M3:</p>
+<div class="fragment"><div class="line">__Vectors       DCD     __initial_sp              ; Top of Stack</div>
+<div class="line">                DCD     Reset_Handler             ; Reset Handler</div>
+<div class="line">                DCD     NMI_Handler               ; NMI Handler</div>
+<div class="line">                DCD     HardFault_Handler         ; Hard Fault Handler</div>
+<div class="line">                DCD     MemManage_Handler         ; MPU Fault Handler</div>
+<div class="line">                DCD     BusFault_Handler          ; Bus Fault Handler</div>
+<div class="line">                DCD     UsageFault_Handler        ; Usage Fault Handler</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     SVC_Handler               ; SVCall Handler</div>
+<div class="line">                DCD     DebugMon_Handler          ; Debug Monitor Handler</div>
+<div class="line">                DCD     0                         ; Reserved</div>
+<div class="line">                DCD     PendSV_Handler            ; PendSV Handler</div>
+<div class="line">                DCD     SysTick_Handler           ; SysTick Handler</div>
+</div><!-- fragment --><h1><a class="anchor" id="cmsis_vectortable_ex_sec"></a>
+Example</h1>
+<p>The following is an examples for device-specific interrupts:</p>
+<div class="fragment"><div class="line">; External Interrupts</div>
+<div class="line">                DCD     WWDG_IRQHandler           ; Window Watchdog</div>
+<div class="line">                DCD     PVD_IRQHandler            ; PVD through EXTI Line detect</div>
+<div class="line">                DCD     TAMPER_IRQHandler         ; Tamper</div>
+</div><!-- fragment --><p>Device-specific interrupts must have a dummy function that can be overwritten in user code. Below is an example for this dummy function.</p>
+<div class="fragment"><div class="line">Default_Handler PROC</div>
+<div class="line">                EXPORT WWDG_IRQHandler   [WEAK]</div>
+<div class="line">                EXPORT PVD_IRQHandler    [WEAK]</div>
+<div class="line">                EXPORT TAMPER_IRQHandler [WEAK]</div>
+<div class="line">                :</div>
+<div class="line">                :</div>
+<div class="line">                WWDG_IRQHandler</div>
+<div class="line">                PVD_IRQHandler</div>
+<div class="line">                TAMPER_IRQHandler</div>
+<div class="line">                :</div>
+<div class="line">                :</div>
+<div class="line">                B .</div>
+<div class="line">                ENDP</div>
+</div><!-- fragment --><p>The user application may simply define an interrupt handler function by using the handler name as shown below.</p>
+<div class="fragment"><div class="line"><span class="keywordtype">void</span> WWDG_IRQHandler(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  ...</div>
+<div class="line">}</div>
+</div><!-- fragment --><h1><a class="anchor" id="cmsis_vectortable_code_ex1_sec"></a>
+Code Example 1</h1>
+<p>The code below shows the usage of the CMSIS NVIC functions <a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354" title="Set priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_SetPriorityGrouping()</a>, <a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78" title="Read the priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetPriorityGrouping()</a>, <a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798" title="Set the priority for an interrupt.">NVIC_SetPriority()</a>, <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395" title="Get the priority of an interrupt.">NVIC_GetPriority()</a>, <a class="el" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5" title="Encodes Priority [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_EncodePriority()</a>, and <a class="el" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377" title="Decode the interrupt priority [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_DecodePriority()</a> with an LPC1700.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;LPC17xx.h&quot;</span></div>
+<div class="line"></div>
+<div class="line">uint32_t priorityGroup;                                     <span class="comment">/* Variables to store priority group and priority */</span></div>
+<div class="line">uint32_t priority;</div>
+<div class="line">uint32_t preemptPriority;</div>
+<div class="line">uint32_t subPriority;</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>)  {</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354" title="Set priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_SetPriorityGrouping</a>(5);                              <span class="comment">/* Set priority group to 5:</span></div>
+<div class="line"><span class="comment">                                                               Bit[7..6] preempt priority Bits, </span></div>
+<div class="line"><span class="comment">                                                               Bit[5..3] subpriority Bits </span></div>
+<div class="line"><span class="comment">                                                               (valid for five priority bits) */</span></div>
+<div class="line">     </div>
+<div class="line">  priorityGroup =  <a class="code" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78" title="Read the priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetPriorityGrouping</a>();              <span class="comment">/* Get used priority grouping */</span></div>
+<div class="line"></div>
+<div class="line">  priority = <a class="code" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5" title="Encodes Priority [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_EncodePriority</a>(priorityGroup, 1, 6);      <span class="comment">/* Encode priority with 6 for subpriority and 1 for preempt priority</span></div>
+<div class="line"><span class="comment">                                                               Note: priority depends on the used priority grouping */</span></div>
+<div class="line">                                                               </div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798" title="Set the priority for an interrupt.">NVIC_SetPriority</a>(UART0_IRQn, priority);                   <span class="comment">/* Set new priority */</span></div>
+<div class="line"></div>
+<div class="line">  priority =  <a class="code" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395" title="Get the priority of an interrupt.">NVIC_GetPriority</a>(UART0_IRQn);                 <span class="comment">/* Retrieve priority again */</span>    </div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377" title="Decode the interrupt priority [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_DecodePriority</a>(priority, priorityGroup, &amp;preemptPriority, &amp;subPriority);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);</div>
+<div class="line">}</div>
+</div><!-- fragment --><h1><a class="anchor" id="cmsis_vectortable_code_ex2_sec"></a>
+Code Example 2</h1>
+<p>The code below shows the usage of the CMSIS NVIC functions <a class="el" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f" title="Enable an external interrupt.">NVIC_EnableIRQ()</a>, <a class="el" href="group___n_v_i_c__gr.html#gadf4252e600661fd762cfc0d1a9f5b892" title="Get the interrupt active status [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetActive()</a> with an LPC1700.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;LPC17xx.h&quot;</span></div>
+<div class="line"></div>
+<div class="line">uint32_t active;                                            <span class="comment">/* Variable to store interrupt active state */</span></div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">void</span> TIMER0_IRQHandler(<span class="keywordtype">void</span>)  {                             <span class="comment">/* Timer 0 interrupt handler  */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (LPC_TIM0-&gt;IR &amp; (1 &lt;&lt; 0))  {                           <span class="comment">/* Check if interrupt for match channel 0 occured */</span> </div>
+<div class="line">    LPC_TIM0-&gt;IR |= (1 &lt;&lt; 0);                               <span class="comment">/* Acknowledge interrupt for match channel 0 occured */</span></div>
+<div class="line">  }</div>
+<div class="line">  active = <a class="code" href="group___n_v_i_c__gr.html#gadf4252e600661fd762cfc0d1a9f5b892" title="Get the interrupt active status [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetActive</a>(TIMER0_IRQn);                     <span class="comment">/* Get interrupt active state of timer 0 */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>) {</div>
+<div class="line">                                                            <span class="comment">/* Set match channel register MR0 to 1 millisecond */</span></div>
+<div class="line">  LPC_TIM0-&gt;MR0 = (((<a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a> / 1000) / 4) - 1);     <span class="comment">/* 1 ms? */</span></div>
+<div class="line">  </div>
+<div class="line">  LPC_TIM0-&gt;MCR = (3 &lt;&lt; 0);                                 <span class="comment">/* Enable interrupt and reset for match channel MR0 */</span></div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f" title="Enable an external interrupt.">NVIC_EnableIRQ</a>(TIMER0_IRQn);                              <span class="comment">/* Enable NVIC interrupt for timer 0 */</span></div>
+<div class="line">  </div>
+<div class="line">  LPC_TIM0-&gt;TCR = (1 &lt;&lt; 0);                                 <span class="comment">/* Enable timer 0 */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);</div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="ga7e1129cd8a196f4284d41db3e82ad5c8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The core exception enumeration names for IRQn values are defined in the file <b>device.h</b>. </p>
+<pre class="fragment">Negative IRQn values represent processor core exceptions (internal interrupts).
+Positive IRQn values represent device-specific exceptions (external interrupts). 
+The first device-specific interrupt has the IRQn value 0.
+</pre><p>The table below describes the core exception names and their availability in various Cortex-M cores. </p>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8ade177d9c70c89e084093024b932a4e30"></a>NonMaskableInt_IRQn</em>&nbsp;</td><td>
+<p>Exception 2: Non Maskable Interrupt. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8ab1a222a34a32f0ef5ac65e714efc1f85"></a>HardFault_IRQn</em>&nbsp;</td><td>
+<p>Exception 3: Hard Fault Interrupt. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a33ff1cf7098de65d61b6354fee6cd5aa"></a>MemoryManagement_IRQn</em>&nbsp;</td><td>
+<p>Exception 4: Memory Management Interrupt [not on Cortex-M0 variants]. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a8693500eff174f16119e96234fee73af"></a>BusFault_IRQn</em>&nbsp;</td><td>
+<p>Exception 5: Bus Fault Interrupt [not on Cortex-M0 variants]. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a6895237c9443601ac832efa635dd8bbf"></a>UsageFault_IRQn</em>&nbsp;</td><td>
+<p>Exception 6: Usage Fault Interrupt [not on Cortex-M0 variants]. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237"></a>SVCall_IRQn</em>&nbsp;</td><td>
+<p>Exception 11: SV Call Interrupt. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a8e033fcef7aed98a31c60a7de206722c"></a>DebugMonitor_IRQn</em>&nbsp;</td><td>
+<p>Exception 12: Debug Monitor Interrupt [not on Cortex-M0 variants]. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a03c3cc89984928816d81793fc7bce4a2"></a>PendSV_IRQn</em>&nbsp;</td><td>
+<p>Exception 14: Pend SV Interrupt [not on Cortex-M0 variants]. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7"></a>SysTick_IRQn</em>&nbsp;</td><td>
+<p>Exception 15: System Tick Interrupt. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8aa62e040960b4beb6cba107e4703c12d2"></a>WWDG_STM_IRQn</em>&nbsp;</td><td>
+<p>Device Interrupt 0: Window WatchDog Interrupt. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gga7e1129cd8a196f4284d41db3e82ad5c8a853e0f318108110e0527f29733d11f86"></a>PVD_STM_IRQn</em>&nbsp;</td><td>
+<p>Device Interrupt 1: PVD through EXTI Line detection Interrupt. </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga382ad6bedd6eecfdabd1b94dd128a01a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_ClearPendingIRQ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function removes the pending state of the specified interrupt <em>IRQn</em>. <em>IRQn</em> cannot be a negative number.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The registers that control the status of interrupts are called SETPEND and CLRPEND.</li>
+<li>An interrupt can have the status pending though it is not active.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga3b885147ef9965ecede49614de8df9d2">NVIC_SetPendingIRQ</a>; <a class="el" href="group___n_v_i_c__gr.html#ga95a8329a680b051ecf3ee8f516acc662" title="Get the pending interrupt.">NVIC_GetPendingIRQ</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad3cbca1be7a4726afa9448a9acd89377"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_DecodePriority </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>Priority</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>PriorityGroup</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pPreemptPriority</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pSubPriority</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function decodes an interrupt priority value with the priority group <em>PriorityGroup</em> to preemptive priority value <em>pPreemptPriority</em> and subpriority value <em>pSubPriority</em>. In case of a conflict between priority grouping and available priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Priority</td><td>Priority </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">PriorityGroup</td><td>Priority group </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pPreemptPriority</td><td>Preemptive priority value (starting from 0) </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pSubPriority</td><td>Subpriority value (starting from 0)</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga0688c59605b119c53c71b2505ab23eb5">NVIC_EncodePriority</a>; <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395" title="Get the priority of an interrupt.">NVIC_GetPriority</a>; <a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78" title="Read the priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetPriorityGrouping</a>;</li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga736ba13a76eb37ef6e2c253be8b0331c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_DisableIRQ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function disables the specified device-specific interrupt <em>IRQn</em>. <em>IRQn</em> cannot be a negative value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Number of the external interrupt to disable</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The registers that control the enabling and disabling of interrupts are called SETENA and CLRENA.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga530ad9fda2ed1c8b70e439ecfe80591f">NVIC_EnableIRQ</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga530ad9fda2ed1c8b70e439ecfe80591f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_EnableIRQ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables the specified device-specific interrupt <em>IRQn</em>. <em>IRQn</em> cannot be a negative value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The registers that control the enabling and disabling of interrupts are called SETENA and CLRENA.</li>
+<li>The number of supported interrupts depends on the implementation of the chip designer and can be read form the Interrupt Controller Type Register (ICTR) in granularities of 32: <br/>
+ ICTR[4:0]<ul>
+<li>=0 - 32 interrupts supported</li>
+<li>=1 - 64 interrupts supported</li>
+<li>...</li>
+</ul>
+</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga736ba13a76eb37ef6e2c253be8b0331c">NVIC_DisableIRQ</a>; <a class="el" href="struct_s_cn_s_c_b___type.html" title="Structure type to access the System Control and ID Register not in the SCB.">SCnSCB_Type</a>;</li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga0688c59605b119c53c71b2505ab23eb5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t NVIC_EncodePriority </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>PriorityGroup</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>PreemptPriority</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>SubPriority</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function encodes the priority for an interrupt with the priority group <em>PriorityGroup</em>, preemptive priority value <em>PreemptPriority</em>, and subpriority value <em>SubPriority</em>. In case of a conflict between priority grouping and available priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">PriorityGroup</td><td>Priority group </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">PreemptPriority</td><td>Preemptive priority value (starting from 0) </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">SubPriority</td><td>Subpriority value (starting from 0)</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Encoded priority for the interrupt</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#gad3cbca1be7a4726afa9448a9acd89377">NVIC_DecodePriority</a>; <a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798" title="Set the priority for an interrupt.">NVIC_SetPriority</a>;</li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gadf4252e600661fd762cfc0d1a9f5b892"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t NVIC_GetActive </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reads the Interrupt Active Register (NVIC_IABR0-NVIC_IABR7) in NVIC and returns the active bit of the interrupt <em>IRQn</em>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>=0 Interrupt is not active</li>
+<li>=1 Interrupt is active, or active and pending</li>
+</ul>
+</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>Each external interrupt has an active status bit. When the processor starts the interrupt handler the bit is set to 1 and cleared when the interrupt return is executed.</li>
+<li>When an ISR is preempted and the processor executes anohter interrupt handler, the previous interrupt is still defined as active.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga95a8329a680b051ecf3ee8f516acc662"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t NVIC_GetPendingIRQ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function returns the pending status of the specified interrupt <em>IRQn</em>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>=0 Interrupt is not pending</li>
+<li>=1 Interrupt is pending</li>
+</ul>
+</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The registers that control the status of interrupts are called SETPEND and CLRPEND.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga3b885147ef9965ecede49614de8df9d2">NVIC_SetPendingIRQ</a>; <a class="el" href="group___n_v_i_c__gr.html#ga382ad6bedd6eecfdabd1b94dd128a01a" title="Clear an interrupt from pending.">NVIC_ClearPendingIRQ</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab18fb9f6c5f4c70fdd73047f0f7c8395"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t NVIC_GetPriority </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reads the priority for the specified interrupt <em>IRQn</em>. <em>IRQn</em> can can specify any device-specific (external) interrupt, or core (internal) interrupt.</p>
+<p>The returned priority value is automatically aligned to the implemented priority bits of the microcontroller.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Interrupt priority</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>Each external interrupt has an associated priority-level register.</li>
+<li>Unimplemented bits are read as zero.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798">NVIC_SetPriority</a>; <a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78" title="Read the priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_GetPriorityGrouping</a>; <a class="el" href="group___core___register__gr.html#ga32da759f46e52c95bcfbde5012260667" title="Read the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__get_BASEPRI</a>;</li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaa81b19849367d3cdb95ac108c500fa78"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t NVIC_GetPriorityGrouping </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This functuion returns the priority grouping (flag PRIGROUP in AIRCR[10:8]).</p>
+<dl class="section return"><dt>Returns</dt><dd>Priority grouping field</dd></dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>By default, priority group setting is zero.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354">NVIC_SetPriorityGrouping</a>; <a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395" title="Get the priority of an interrupt.">NVIC_GetPriority</a>; <a class="el" href="struct_s_c_b___type.html" title="Structure type to access the System Control Block (SCB).">SCB_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3b885147ef9965ecede49614de8df9d2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_SetPendingIRQ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function sets the pending bit for the specified interrupt <em>IRQn</em>. <em>IRQn</em> cannot be a negative value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt number</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The registers that control the status of interrupts are called SETPEND and CLRPEND.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#ga95a8329a680b051ecf3ee8f516acc662">NVIC_GetPendingIRQ</a>; <a class="el" href="group___n_v_i_c__gr.html#ga382ad6bedd6eecfdabd1b94dd128a01a" title="Clear an interrupt from pending.">NVIC_ClearPendingIRQ</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5bb7f43ad92937c039dee3d36c3c2798"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_SetPriority </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a>&#160;</td>
+          <td class="paramname"><em>IRQn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>priority</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Sets the priority for the interrupt specified by <em>IRQn</em>.<em>IRQn</em> can can specify any device-specific (external) interrupt, or core (internal) interrupt. The <em>priority</em> specifies the interrupt priority value, whereby lower values indicate a higher priority. The default priority is 0 for every interrupt. This is the highest possible priority.</p>
+<p>The priority cannot be set for every core interrupt. HardFault and NMI have a fixed (negative) priority that is higher than any configurable exception or interrupt.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">IRQn</td><td>Interrupt Number </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">priority</td><td>Priority to set</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>The number of priority levels is configurable and depends on the implementation of the chip designer. To determine the number of bits implemented for interrupt priority-level registers, write <em>0xFF</em> to one of the priority-level register, then read back the value. For example, if the minimum number of 3 bits have been implemented, the read-back value is <em>0xE0</em>.</li>
+<li>Writes to unimplemented bits are ignored.</li>
+<li><b>For Cortex-M0</b>:<ul>
+<li>Dynamic switching of interrupt priority levels is not supported. The priority level of an interrupt should not be changed after it has been enabled.</li>
+<li>Supports 0 to 192 priority levels.</li>
+<li>Priority-level registers are 2 bit wide, occupying the two MSBs. Each Interrupt Priority Level Register is 1-byte wide.</li>
+</ul>
+</li>
+<li><b>For Cortex-M3, Cortex-M4, and Cortex-M7</b>:<ul>
+<li>Dynamic switching of interrupt priority levels is supported.</li>
+<li>Supports 0 to 255 priority levels.</li>
+<li>Priority-level registers have a maximum width of 8 bits and a minumum of 3 bits. Each register can be further devided into preempt priority level and subpriority level.</li>
+</ul>
+</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#gab18fb9f6c5f4c70fdd73047f0f7c8395">NVIC_GetPriority</a>; <a class="el" href="group___n_v_i_c__gr.html#gad78f447e891789b4d8f2e5b21eeda354" title="Set priority grouping [not for Cortex-M0, Cortex-M0+, or SC000].">NVIC_SetPriorityGrouping</a>; <a class="el" href="group___core___register__gr.html#ga360c73eb7ffb16088556f9278953b882" title="Set the BASEPRI register [not for Cortex-M0, Cortex-M0+, or SC000].">__set_BASEPRI</a>;</li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad78f447e891789b4d8f2e5b21eeda354"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_SetPriorityGrouping </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>PriorityGroup</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The function sets the priority grouping <em>PriorityGroup</em> using the required unlock sequence. <em>PriorityGroup</em> is assigned to the field PRIGROUP (register AIRCR[10:8]). This field determines the split of group priority from subpriority. Only values from 0..7 are used. In case of a conflict between priority grouping and available priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">PriorityGroup</td><td>Priority group</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>not for Cortex-M0, Cortex-M0+, or SC000.</li>
+<li>By default, priority group setting is zero.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="group___n_v_i_c__gr.html#gaa81b19849367d3cdb95ac108c500fa78">NVIC_GetPriorityGrouping</a>; <a class="el" href="group___n_v_i_c__gr.html#ga5bb7f43ad92937c039dee3d36c3c2798" title="Set the priority for an interrupt.">NVIC_SetPriority</a>; <a class="el" href="struct_s_c_b___type.html" title="Structure type to access the System Control Block (SCB).">SCB_Type</a></li>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga1b47d17e90b6a03e7bd1ec6a0d549b46"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void NVIC_SystemReset </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function requests a system reset by setting the SYSRESETREQ flag in the AIRCR register.</p>
+<dl class="section remark"><dt>Remarks</dt><dd><ul>
+<li>In most microcontroller designs, setting the SYSRESETREQ flag resets the processor and most parts of the system, but should not affect the debug system.</li>
+</ul>
+</dd></dl>
+<dl class="section see"><dt>See Also</dt><dd><ul>
+<li><a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Systick Timer (SYSTICK)</title>
+<title>CMSIS-CORE: Systick Timer (SYSTICK)</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Systick Timer (SYSTICK)</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Initialize and start the SysTick timer.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gabe47de40e9b0ad465b752297a9d9f427"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427">SysTick_Config</a> (uint32_t ticks)</td></tr>
+<tr class="memdesc:gabe47de40e9b0ad465b752297a9d9f427"><td class="mdescLeft">&#160;</td><td class="mdescRight">System Tick Timer Configuration.  <a href="#gabe47de40e9b0ad465b752297a9d9f427"></a><br/></td></tr>
+<tr class="separator:gabe47de40e9b0ad465b752297a9d9f427"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<pre class="fragment">The System Tick Time (SysTick) generates interrupt requests on a regular basis.
+This allows an OS to carry out context switching to support multiple tasking. For applications
+that do not require an OS, the SysTick can be used for time keeping, time measurement, or as an 
+interrupt source for tasks that need to be executed regularly.
+</pre><h1><a class="anchor" id="SysTick_code_ex_sec"></a>
+Code Example</h1>
+<p>The code below shows the usage of the function <a class="el" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427" title="System Tick Timer Configuration.">SysTick_Config()</a> with an LPC1700.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;LPC17xx.h&quot;</span></div>
+<div class="line"></div>
+<div class="line">uint32_t msTicks = 0;                                       <span class="comment">/* Variable to store millisecond ticks */</span></div>
+<div class="line"></div>
+<div class="line">                                            </div>
+<div class="line"><span class="keywordtype">void</span> SysTick_Handler(<span class="keywordtype">void</span>)  {                               <span class="comment">/* SysTick interrupt Handler.</span></div>
+<div class="line"><span class="comment">  msTicks++;                                                   See startup file startup_LPC17xx.s for SysTick vector */</span> </div>
+<div class="line">}</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  uint32_t returnCode;</div>
+<div class="line"></div>
+<div class="line">  returnCode = <a class="code" href="group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427" title="System Tick Timer Configuration.">SysTick_Config</a>(<a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a> / 1000);      <span class="comment">/* Configure SysTick to generate an interrupt every millisecond */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (returnCode != 0)  {                                   <span class="comment">/* Check return code for errors */</span></div>
+<div class="line">    <span class="comment">// Error Handling </span></div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);</div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gabe47de40e9b0ad465b752297a9d9f427"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SysTick_Config </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ticks</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialises and starts the System Tick Timer and its interrupt. After this call, the SysTick timer creates interrupts with the specified time interval. Counter is in free running mode to generate periodical interrupts.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">ticks</td><td>Number of ticks between two interrupts</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>0 - success </dd>
+<dd>
+1 - failure</dd></dl>
+<dl class="section note"><dt>Note</dt><dd>When <b>#define __Vendor_SysTickConfig</b> is set to 1, the standard function <b>SysTick_Config</b> is excluded. In this case, the file <b><em>device</em>.h</b> must contain a vendor specific implementation of this function. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
index 0000000..99c5304
--- /dev/null
+++ b/Documentation/Core/html/group___sys_tick__gr.js
@@ -0,0 +1,4 @@
+var group___sys_tick__gr =
+[
+    [ "SysTick_Config", "group___sys_tick__gr.html#gabe47de40e9b0ad465b752297a9d9f427", null ]
+];
\ No newline at end of file
diff --git a/Documentation/Core/html/group__cache__functions__m7.html b/Documentation/Core/html/group__cache__functions__m7.html
new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Cache Functions  (only Cortex-M7)</title>
+<title>CMSIS-CORE: Cache Functions  (only Cortex-M7)</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+
+<div class="header">
+  <div class="summary">
+<a href="#groups">Content</a>  </div>
+  <div class="headertitle">
+<div class="title">Cache Functions (only Cortex-M7)</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions for Instruction and Data Cache.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
+Content</h2></td></tr>
+<tr class="memitem:group___icache__functions__m7"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___icache__functions__m7.html">I-Cache Functions</a></td></tr>
+<tr class="memdesc:group___icache__functions__m7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the instruction cache. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___dcache__functions__m7"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___dcache__functions__m7.html">D-Cache Functions</a></td></tr>
+<tr class="memdesc:group___dcache__functions__m7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the data cache. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Cortex-M7 processors include a memory system, which includes an optional MPU and Harvard data and instruction cache with ECC. The optional CPU cache has an instruction and data cache with sizes of <span class="XML-Token">[0;4;8;16;32;64]KB</span>. Both instruction and data cache RAM can be configured at implementation time to have Error Correcting Code (ECC) to protect the data stored in the memory from errors.</p>
+<p>All cache maintenance operations are executed by writing to registers in the memory mapped System Control Space (SCS) region of the internal PPB memory space.</p>
+<dl class="section note"><dt>Note</dt><dd>After reset, you must invalidate each cache before enabling it.</dd></dl>
+<p>The functions are grouped for:</p>
+<ul>
+<li><a class="el" href="group___icache__functions__m7.html">I-Cache Functions</a></li>
+<li><a class="el" href="group___dcache__functions__m7.html">D-Cache Functions</a> </li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+var group__cache__functions__m7 =
+[
+    [ "I-Cache Functions", "group___icache__functions__m7.html", "group___icache__functions__m7" ],
+    [ "D-Cache Functions", "group___dcache__functions__m7.html", "group___dcache__functions__m7" ]
+];
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+		<!--
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">FPU Functions (only Cortex-M7)</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions that relate to the Floating-Point Arithmetic Unit.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga6bcad99ce80a0e7e4ddc6f2379081756"><td class="memItemLeft" align="right" valign="top">__STATIC_INLINE uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__fpu__functions__m7.html#ga6bcad99ce80a0e7e4ddc6f2379081756">SCB_GetFPUType</a> (void)</td></tr>
+<tr class="memdesc:ga6bcad99ce80a0e7e4ddc6f2379081756"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the FPU type.  <a href="#ga6bcad99ce80a0e7e4ddc6f2379081756"></a><br/></td></tr>
+<tr class="separator:ga6bcad99ce80a0e7e4ddc6f2379081756"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Cortex-M7 processor includes optional floating-point arithmetic functionality, with support for single and double-precision arithmetic. The Cortex-M7 processor with FPU is an implementation of the single-precision and double-precision variant of the ARMv7-M Architecture with Floating-Point Extension (FPv5). </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga6bcad99ce80a0e7e4ddc6f2379081756"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__STATIC_INLINE uint32_t SCB_GetFPUType </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li><b>0</b>: No FPU</li>
+<li><b>1</b>: Single precision FPU</li>
+<li><b>2</b>: Double + Single precision FPU</li>
+</ul>
+</dd></dl>
+<p>The function returns the implemented FPU type. </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Intrinsic Functions for CPU Instructions</title>
+<title>CMSIS-CORE: Intrinsic Functions for CPU Instructions</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Intrinsic Functions for CPU Instructions</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Functions that generate specific Cortex-M CPU Instructions.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gac71fad9f0a91980fecafcb450ee0a63e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#gac71fad9f0a91980fecafcb450ee0a63e">__NOP</a> (void)</td></tr>
+<tr class="memdesc:gac71fad9f0a91980fecafcb450ee0a63e"><td class="mdescLeft">&#160;</td><td class="mdescRight">No Operation.  <a href="#gac71fad9f0a91980fecafcb450ee0a63e"></a><br/></td></tr>
+<tr class="separator:gac71fad9f0a91980fecafcb450ee0a63e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaed91dfbf3d7d7b7fba8d912fcbeaad88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#gaed91dfbf3d7d7b7fba8d912fcbeaad88">__WFI</a> (void)</td></tr>
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+<tr class="memitem:ga93c09b4709394d81977300d5f84950e5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga93c09b4709394d81977300d5f84950e5">__ISB</a> (void)</td></tr>
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+<tr class="separator:ga1ec006e6d79063363cb0c2a2e0b3adbe"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gaab6482d1f59f59e2b6b7efc1af391c99"><td class="mdescLeft">&#160;</td><td class="mdescRight">STR Exclusive (8 bit) [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#gaab6482d1f59f59e2b6b7efc1af391c99"></a><br/></td></tr>
+<tr class="separator:gaab6482d1f59f59e2b6b7efc1af391c99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0a354bdf71caa52f081a4a54e84c8d2a"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga0a354bdf71caa52f081a4a54e84c8d2a">__STREXH</a> (uint16_t value, volatile uint16_t *addr)</td></tr>
+<tr class="memdesc:ga0a354bdf71caa52f081a4a54e84c8d2a"><td class="mdescLeft">&#160;</td><td class="mdescRight">STR Exclusive (16 bit) [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga0a354bdf71caa52f081a4a54e84c8d2a"></a><br/></td></tr>
+<tr class="separator:ga0a354bdf71caa52f081a4a54e84c8d2a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga335deaaa7991490e1450cb7d1e4c5197"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga335deaaa7991490e1450cb7d1e4c5197">__STREXW</a> (uint32_t value, volatile uint32_t *addr)</td></tr>
+<tr class="memdesc:ga335deaaa7991490e1450cb7d1e4c5197"><td class="mdescLeft">&#160;</td><td class="mdescRight">STR Exclusive (32 bit) [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga335deaaa7991490e1450cb7d1e4c5197"></a><br/></td></tr>
+<tr class="separator:ga335deaaa7991490e1450cb7d1e4c5197"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga354c5ac8870cc3dfb823367af9c4b412"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga354c5ac8870cc3dfb823367af9c4b412">__CLREX</a> (void)</td></tr>
+<tr class="memdesc:ga354c5ac8870cc3dfb823367af9c4b412"><td class="mdescLeft">&#160;</td><td class="mdescRight">Remove the exclusive lock [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga354c5ac8870cc3dfb823367af9c4b412"></a><br/></td></tr>
+<tr class="separator:ga354c5ac8870cc3dfb823367af9c4b412"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7d9dddda18805abbf51ac21c639845e1"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga7d9dddda18805abbf51ac21c639845e1">__SSAT</a> (unint32_t value, uint32_t sat)</td></tr>
+<tr class="memdesc:ga7d9dddda18805abbf51ac21c639845e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Signed Saturate [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga7d9dddda18805abbf51ac21c639845e1"></a><br/></td></tr>
+<tr class="separator:ga7d9dddda18805abbf51ac21c639845e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga76bbe4374a5912362866cdc1ded4064a"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga76bbe4374a5912362866cdc1ded4064a">__USAT</a> (uint32_t value, uint32_t sat)</td></tr>
+<tr class="memdesc:ga76bbe4374a5912362866cdc1ded4064a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Unsigned Saturate [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga76bbe4374a5912362866cdc1ded4064a"></a><br/></td></tr>
+<tr class="separator:ga76bbe4374a5912362866cdc1ded4064a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga90884c591ac5d73d6069334eba9d6c02"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga90884c591ac5d73d6069334eba9d6c02">__CLZ</a> (uint32_t value)</td></tr>
+<tr class="memdesc:ga90884c591ac5d73d6069334eba9d6c02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Count leading zeros [not for Cortex-M0, Cortex-M0+, or SC000].  <a href="#ga90884c591ac5d73d6069334eba9d6c02"></a><br/></td></tr>
+<tr class="separator:ga90884c591ac5d73d6069334eba9d6c02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac09134f1bf9c49db07282001afcc9380"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#gac09134f1bf9c49db07282001afcc9380">__RRX</a> (uint32_t value)</td></tr>
+<tr class="memdesc:gac09134f1bf9c49db07282001afcc9380"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotate Right with Extend (32 bit)  <a href="#gac09134f1bf9c49db07282001afcc9380"></a><br/></td></tr>
+<tr class="separator:gac09134f1bf9c49db07282001afcc9380"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9464d75db32846aa8295c3c3adfacb41"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga9464d75db32846aa8295c3c3adfacb41">__LDRBT</a> (uint8_t ptr)</td></tr>
+<tr class="memdesc:ga9464d75db32846aa8295c3c3adfacb41"><td class="mdescLeft">&#160;</td><td class="mdescRight">LDRT Unprivileged (8 bit)  <a href="#ga9464d75db32846aa8295c3c3adfacb41"></a><br/></td></tr>
+<tr class="separator:ga9464d75db32846aa8295c3c3adfacb41"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa762b8bc5634ce38cb14d62a6b2aee32"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#gaa762b8bc5634ce38cb14d62a6b2aee32">__LDRHT</a> (uint16_t ptr)</td></tr>
+<tr class="memdesc:gaa762b8bc5634ce38cb14d62a6b2aee32"><td class="mdescLeft">&#160;</td><td class="mdescRight">LDRT Unprivileged (16 bit)  <a href="#gaa762b8bc5634ce38cb14d62a6b2aee32"></a><br/></td></tr>
+<tr class="separator:gaa762b8bc5634ce38cb14d62a6b2aee32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga616504f5da979ba8a073d428d6e8d5c7"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga616504f5da979ba8a073d428d6e8d5c7">__LDRT</a> (uint32_t ptr)</td></tr>
+<tr class="memdesc:ga616504f5da979ba8a073d428d6e8d5c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">LDRT Unprivileged (32 bit)  <a href="#ga616504f5da979ba8a073d428d6e8d5c7"></a><br/></td></tr>
+<tr class="separator:ga616504f5da979ba8a073d428d6e8d5c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad41aa59c92c0a165b7f98428d3320cd5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#gad41aa59c92c0a165b7f98428d3320cd5">__STRBT</a> (uint8_t value, uint8_t ptr)</td></tr>
+<tr class="memdesc:gad41aa59c92c0a165b7f98428d3320cd5"><td class="mdescLeft">&#160;</td><td class="mdescRight">STRT Unprivileged (8 bit)  <a href="#gad41aa59c92c0a165b7f98428d3320cd5"></a><br/></td></tr>
+<tr class="separator:gad41aa59c92c0a165b7f98428d3320cd5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2b5d93b8e461755b1072a03df3f1722e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga2b5d93b8e461755b1072a03df3f1722e">__STRHT</a> (uint16_t value, uint16_t ptr)</td></tr>
+<tr class="memdesc:ga2b5d93b8e461755b1072a03df3f1722e"><td class="mdescLeft">&#160;</td><td class="mdescRight">STRT Unprivileged (16 bit)  <a href="#ga2b5d93b8e461755b1072a03df3f1722e"></a><br/></td></tr>
+<tr class="separator:ga2b5d93b8e461755b1072a03df3f1722e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga625bc4ac0b1d50de9bcd13d9f050030e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___c_p_u__gr.html#ga625bc4ac0b1d50de9bcd13d9f050030e">__STRT</a> (uint32_t value, uint32_t ptr)</td></tr>
+<tr class="memdesc:ga625bc4ac0b1d50de9bcd13d9f050030e"><td class="mdescLeft">&#160;</td><td class="mdescRight">STRT Unprivileged (32 bit)  <a href="#ga625bc4ac0b1d50de9bcd13d9f050030e"></a><br/></td></tr>
+<tr class="separator:ga625bc4ac0b1d50de9bcd13d9f050030e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The following functions generate specific Cortex-M instructions that cannot be directly accessed by the C/C++ Compiler. Refer to the <a class="el" href="index.html#ref_man_sec">Cortex-M Reference Manuals</a> for detailed information about these Cortex-M instructions.</p>
+<dl class="section note"><dt>Note</dt><dd>When using the ARM Compiler Toolchain the following <a class="el" href="group__intrinsic___c_p_u__gr.html">Intrinsic Functions for CPU Instructions</a> are implemented using the Embedded Assembler: <a class="el" href="group__intrinsic___c_p_u__gr.html#gac09134f1bf9c49db07282001afcc9380">__RRX</a>, &lt;Bruno: add more...&gt;. The usage of the Embedded Assembler can be disabled by with <b><em>define __NO_EMBEDDED_ASM</em></b>. This avoids potential side effects of the Embedded Assembler. Refer to <b>Compiler User Guide - Using the Inline and Embedded Assemblers of the ARM Compiler</b> for more information. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga92f5621626711931da71eaa8bf301af7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __BKPT </td>
+          <td>(</td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function causes the processor to enter Debug state. Debug tools can use this to investigate system state when the instruction at a particular address is reached.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>is ignored by the processor. If required, a debugger can use it to obtain additional information about the breakpoint. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga354c5ac8870cc3dfb823367af9c4b412"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __CLREX </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function removes the exclusive lock which is created by LDREX [not for Cortex-M0, Cortex-M0+, or SC000]. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga90884c591ac5d73d6069334eba9d6c02"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t __CLZ </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function counts the number of leading zeros of a data value [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to count the leading zeros </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>number of leading zeros in value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab1c9b393641dc2d397b3408fdbe72b96"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __DMB </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function ensures the apparent order of the explicit memory operations before and after the instruction, without ensuring their completion. </p>
+
+</div>
+</div>
+<a class="anchor" id="gacb2a8ca6eae1ba4b31161578b720c199"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __DSB </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function acts as a special kind of Data Memory Barrier. It completes when all explicit memory accesses before this instruction complete. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga93c09b4709394d81977300d5f84950e5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __ISB </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Instruction Synchronization Barrier flushes the pipeline in the processor, so that all instructions following the ISB are fetched from cache or memory, after the instruction has been completed. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga9464d75db32846aa8295c3c3adfacb41"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t __LDRBT </td>
+          <td>(</td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ptr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged LDRT command for 8 bit value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint8_t at (*ptr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9e3ac13d8dcf4331176b624cf6234a7e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t __LDREXB </td>
+          <td>(</td>
+          <td class="paramtype">volatile uint8_t *&#160;</td>
+          <td class="paramname"><em>addr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive LDR command for 8 bit value [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint8_t at (*addr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9feffc093d6f68b120d592a7a0d45a15"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t __LDREXH </td>
+          <td>(</td>
+          <td class="paramtype">volatile uint16_t *&#160;</td>
+          <td class="paramname"><em>addr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive LDR command for 16 bit values [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint16_t at (*addr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gabd78840a0f2464905b7cec791ebc6a4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __LDREXW </td>
+          <td>(</td>
+          <td class="paramtype">volatile uint32_t *&#160;</td>
+          <td class="paramname"><em>addr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive LDR command for 32 bit values [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint32_t at (*addr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaa762b8bc5634ce38cb14d62a6b2aee32"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t __LDRHT </td>
+          <td>(</td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>ptr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged LDRT command for 16 bit values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint16_t at (*ptr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga616504f5da979ba8a073d428d6e8d5c7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __LDRT </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ptr</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged LDRT command for 32 bit values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to data </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of type uint32_t at (*ptr) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac71fad9f0a91980fecafcb450ee0a63e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __NOP </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function does nothing. This instruction can be used for code alignment purposes. </p>
+
+</div>
+</div>
+<a class="anchor" id="gad6f9f297f6b91a995ee199fbc796b863"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __RBIT </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reverses the bit order of the given value [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to reverse </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reversed value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga4717abc17af5ba29b1e4c055e0a0d9b8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __REV </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reverses the byte order in integer value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to reverse </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reversed value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaeef6f853b6df3a365c838ee5b49a7a26"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __REV16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reverses the byte order in two unsigned short values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to reverse </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reversed value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga1ec006e6d79063363cb0c2a2e0b3adbe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t __REVSH </td>
+          <td>(</td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function reverses the byte order in a signed short value with sign extension to integer.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to reverse </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reversed value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaf66beb577bb9d90424c3d1d7f684c024"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __ROR </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>shift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function rotates a value right by a specified number of bits.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to be shifted right </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>Number of bits in the range [1..31] </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Rotated value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac09134f1bf9c49db07282001afcc9380"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __RRX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function moves each bit of a bitstring right by one bit. The carry input is shifted in at the left end of the bitstring.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to rotate </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Rotated value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3c34da7eb16496ae2668a5b95fa441e7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __SEV </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Send Event is a hint instruction. It causes an event to be signaled to the CPU. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga7d9dddda18805abbf51ac21c639845e1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SSAT </td>
+          <td>(</td>
+          <td class="paramtype">unint32_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>sat</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function saturates a signed value [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to be saturated </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sat</td><td>Bit position to saturate to [1..32] </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Saturated value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad41aa59c92c0a165b7f98428d3320cd5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __STRBT </td>
+          <td>(</td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ptr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged STRT command for 8 bit values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="gaab6482d1f59f59e2b6b7efc1af391c99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __STREXB </td>
+          <td>(</td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">volatile uint8_t *&#160;</td>
+          <td class="paramname"><em>addr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive STR command for 8 bit values [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>0 Function succeeded </dd>
+<dd>
+1 Function failed </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga0a354bdf71caa52f081a4a54e84c8d2a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __STREXH </td>
+          <td>(</td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">volatile uint16_t *&#160;</td>
+          <td class="paramname"><em>addr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive STR command for 16 bit values [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>0 Function succeeded </dd>
+<dd>
+1 Function failed </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga335deaaa7991490e1450cb7d1e4c5197"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __STREXW </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">volatile uint32_t *&#160;</td>
+          <td class="paramname"><em>addr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an exclusive STR command for 32 bit values [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*addr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>0 Function succeeded </dd>
+<dd>
+1 Function failed </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga2b5d93b8e461755b1072a03df3f1722e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __STRHT </td>
+          <td>(</td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>ptr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged STRT command for 16 bit values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga625bc4ac0b1d50de9bcd13d9f050030e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __STRT </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ptr</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function executed an Unprivileged STRT command for 32 bit values.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to store </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ptr</td><td>Pointer to location </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga76bbe4374a5912362866cdc1ded4064a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USAT </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>sat</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function saturates an unsigned value [not for Cortex-M0, Cortex-M0+, or SC000].</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value to be saturated </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sat</td><td>Bit position to saturate to [0..31] </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Saturated value </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad3efec76c3bfa2b8528ded530386c563"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __WFE </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Wait For Event is a hint instruction that permits the processor to enter a low-power state until an events occurs: </p>
+<ul>
+<li>If the <b>event register is 0</b>, then WFE suspends execution until one of the following events occurs:<ul>
+<li>An exception, unless masked by the exception mask registers or the current priority level.</li>
+<li>An exception enters the Pending state, if SEVONPEND in the System Control Register is set.</li>
+<li>A Debug Entry request, if Debug is enabled.</li>
+<li>An event signaled by a peripheral or another processor in a multiprocessor system using the SEV instruction.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li>If the <b>event register is 1</b>, then WFE clears it to 0 and returns immediately. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="gaed91dfbf3d7d7b7fba8d912fcbeaad88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void __WFI </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>WFI is a hint instruction that suspends execution until one of the following events occurs:</p>
+<ul>
+<li>A non-masked interrupt occurs and is taken.</li>
+<li>An interrupt masked by PRIMASK becomes pending.</li>
+<li>A Debug Entry request. </li>
+</ul>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/group__intrinsic___c_p_u__gr.js b/Documentation/Core/html/group__intrinsic___c_p_u__gr.js
new file mode 100644
index 0000000..1621c07
--- /dev/null
+++ b/Documentation/Core/html/group__intrinsic___c_p_u__gr.js
@@ -0,0 +1,33 @@
+var group__intrinsic___c_p_u__gr =
+[
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+    [ "__CLREX", "group__intrinsic___c_p_u__gr.html#ga354c5ac8870cc3dfb823367af9c4b412", null ],
+    [ "__CLZ", "group__intrinsic___c_p_u__gr.html#ga90884c591ac5d73d6069334eba9d6c02", null ],
+    [ "__DMB", "group__intrinsic___c_p_u__gr.html#gab1c9b393641dc2d397b3408fdbe72b96", null ],
+    [ "__DSB", "group__intrinsic___c_p_u__gr.html#gacb2a8ca6eae1ba4b31161578b720c199", null ],
+    [ "__ISB", "group__intrinsic___c_p_u__gr.html#ga93c09b4709394d81977300d5f84950e5", null ],
+    [ "__LDRBT", "group__intrinsic___c_p_u__gr.html#ga9464d75db32846aa8295c3c3adfacb41", null ],
+    [ "__LDREXB", "group__intrinsic___c_p_u__gr.html#ga9e3ac13d8dcf4331176b624cf6234a7e", null ],
+    [ "__LDREXH", "group__intrinsic___c_p_u__gr.html#ga9feffc093d6f68b120d592a7a0d45a15", null ],
+    [ "__LDREXW", "group__intrinsic___c_p_u__gr.html#gabd78840a0f2464905b7cec791ebc6a4c", null ],
+    [ "__LDRHT", "group__intrinsic___c_p_u__gr.html#gaa762b8bc5634ce38cb14d62a6b2aee32", null ],
+    [ "__LDRT", "group__intrinsic___c_p_u__gr.html#ga616504f5da979ba8a073d428d6e8d5c7", null ],
+    [ "__NOP", "group__intrinsic___c_p_u__gr.html#gac71fad9f0a91980fecafcb450ee0a63e", null ],
+    [ "__RBIT", "group__intrinsic___c_p_u__gr.html#gad6f9f297f6b91a995ee199fbc796b863", null ],
+    [ "__REV", "group__intrinsic___c_p_u__gr.html#ga4717abc17af5ba29b1e4c055e0a0d9b8", null ],
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+<title>CMSIS-CORE: Intrinsic Functions for SIMD Instructions [only Cortex-M4 and Cortex-M7]</title>
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
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+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<tr class="memdesc:gaea60757232f740ec6b09980eebb614ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">32-bit signed multiply with 32-bit truncated accumulator.  <a href="#gaea60757232f740ec6b09980eebb614ff"></a><br/></td></tr>
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+<tr class="memdesc:gae0c86f3298532183f3a29f5bb454d354"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting dual 16-bit signed multiply with single 32-bit accumulator.  <a href="#gae0c86f3298532183f3a29f5bb454d354"></a><br/></td></tr>
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+<tr class="memdesc:ga9c286d330f4fb29b256335add91eec9f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting pre-exchanged dual 16-bit signed multiply with single 32-bit accumulator.  <a href="#ga9c286d330f4fb29b256335add91eec9f"></a><br/></td></tr>
+<tr class="separator:ga9c286d330f4fb29b256335add91eec9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad80e9b20c1736fd798f897362273a146"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad80e9b20c1736fd798f897362273a146">__SMLALD</a> (uint32_t val1, uint32_t val2, uint64_t val3)</td></tr>
+<tr class="memdesc:gad80e9b20c1736fd798f897362273a146"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dual 16-bit signed multiply with single 64-bit accumulator.  <a href="#gad80e9b20c1736fd798f897362273a146"></a><br/></td></tr>
+<tr class="separator:gad80e9b20c1736fd798f897362273a146"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad1adad1b3f2667328cc0db6c6b4f41cf"><td class="memItemLeft" align="right" valign="top">unsigned long long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gad1adad1b3f2667328cc0db6c6b4f41cf">__SMLALDX</a> (uint32_t val1, uint32_t val2, unsigned long long val3)</td></tr>
+<tr class="memdesc:gad1adad1b3f2667328cc0db6c6b4f41cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dual 16-bit signed multiply with exchange with single 64-bit accumulator.  <a href="#gad1adad1b3f2667328cc0db6c6b4f41cf"></a><br/></td></tr>
+<tr class="separator:gad1adad1b3f2667328cc0db6c6b4f41cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga039142a5368840683cf329cb55b73f84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dual 16-bit signed multiply returning difference.  <a href="#ga039142a5368840683cf329cb55b73f84"></a><br/></td></tr>
+<tr class="separator:ga039142a5368840683cf329cb55b73f84"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabb5bcba694bf17b141c32e6a8474f60e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gabb5bcba694bf17b141c32e6a8474f60e">__SMUSDX</a> (uint32_t val1, uint32_t val2)</td></tr>
+<tr class="memdesc:gabb5bcba694bf17b141c32e6a8474f60e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dual 16-bit signed multiply with exchange returning difference.  <a href="#gabb5bcba694bf17b141c32e6a8474f60e"></a><br/></td></tr>
+<tr class="separator:gabb5bcba694bf17b141c32e6a8474f60e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf4350af7f2030c36f43b2c104a9d16cd"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf4350af7f2030c36f43b2c104a9d16cd">__SMLSD</a> (uint32_t val1, uint32_t val2, uint32_t val3)</td></tr>
+<tr class="memdesc:gaf4350af7f2030c36f43b2c104a9d16cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting dual 16-bit signed multiply subtract with 32-bit accumulate.  <a href="#gaf4350af7f2030c36f43b2c104a9d16cd"></a><br/></td></tr>
+<tr class="separator:gaf4350af7f2030c36f43b2c104a9d16cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5290ce5564770ad124910d2583dc0a9e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5290ce5564770ad124910d2583dc0a9e">__SMLSDX</a> (uint32_t val1, uint32_t val2, uint32_t val3)</td></tr>
+<tr class="memdesc:ga5290ce5564770ad124910d2583dc0a9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting dual 16-bit signed multiply with exchange subtract with 32-bit accumulate.  <a href="#ga5290ce5564770ad124910d2583dc0a9e"></a><br/></td></tr>
+<tr class="separator:ga5290ce5564770ad124910d2583dc0a9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5611f7314e0c8f53da377918dfbf42ee"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga5611f7314e0c8f53da377918dfbf42ee">__SMLSLD</a> (uint32_t val1, uint32_t val2, uint64_t val3)</td></tr>
+<tr class="memdesc:ga5611f7314e0c8f53da377918dfbf42ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting dual 16-bit signed multiply subtract with 64-bit accumulate.  <a href="#ga5611f7314e0c8f53da377918dfbf42ee"></a><br/></td></tr>
+<tr class="separator:ga5611f7314e0c8f53da377918dfbf42ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga83e69ef81057d3cbd06863d729385187"><td class="memItemLeft" align="right" valign="top">unsigned long long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga83e69ef81057d3cbd06863d729385187">__SMLSLDX</a> (uint32_t val1, uint32_t val2, unsigned long long val3)</td></tr>
+<tr class="memdesc:ga83e69ef81057d3cbd06863d729385187"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting dual 16-bit signed multiply with exchange subtract with 64-bit accumulate.  <a href="#ga83e69ef81057d3cbd06863d729385187"></a><br/></td></tr>
+<tr class="separator:ga83e69ef81057d3cbd06863d729385187"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf5448e591fe49161b6759b48aecb08fe"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaf5448e591fe49161b6759b48aecb08fe">__SEL</a> (uint32_t val1, uint32_t val2)</td></tr>
+<tr class="memdesc:gaf5448e591fe49161b6759b48aecb08fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">Select bytes based on GE bits.  <a href="#gaf5448e591fe49161b6759b48aecb08fe"></a><br/></td></tr>
+<tr class="separator:gaf5448e591fe49161b6759b48aecb08fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga17b873f246c9f5e9355760ffef3dad4a"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga17b873f246c9f5e9355760ffef3dad4a">__QADD</a> (uint32_t val1, uint32_t val2)</td></tr>
+<tr class="memdesc:ga17b873f246c9f5e9355760ffef3dad4a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting saturating add.  <a href="#ga17b873f246c9f5e9355760ffef3dad4a"></a><br/></td></tr>
+<tr class="separator:ga17b873f246c9f5e9355760ffef3dad4a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3ba259f8f05a36f7b88b469a71ffc096"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#ga3ba259f8f05a36f7b88b469a71ffc096">__QSUB</a> (uint32_t val1, uint32_t val2)</td></tr>
+<tr class="memdesc:ga3ba259f8f05a36f7b88b469a71ffc096"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q setting saturating subtract.  <a href="#ga3ba259f8f05a36f7b88b469a71ffc096"></a><br/></td></tr>
+<tr class="separator:ga3ba259f8f05a36f7b88b469a71ffc096"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaefb8ebf3a54e197464da1ff69a44f4b5"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gaefb8ebf3a54e197464da1ff69a44f4b5">__PKHBT</a> (uint32_t val1, uint32_t val2, uint32_t val3)</td></tr>
+<tr class="memdesc:gaefb8ebf3a54e197464da1ff69a44f4b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Halfword packing instruction. Combines bits[15:0] of <em>val1</em> with bits[31:16] of <em>val2</em> levitated with the <em>val3</em>.  <a href="#gaefb8ebf3a54e197464da1ff69a44f4b5"></a><br/></td></tr>
+<tr class="separator:gaefb8ebf3a54e197464da1ff69a44f4b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafd8fe4a6d87e947caa81a69ec36c1666"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__intrinsic___s_i_m_d__gr.html#gafd8fe4a6d87e947caa81a69ec36c1666">__PKHTB</a> (uint32_t val1, uint32_t val2, uint32_t val3)</td></tr>
+<tr class="memdesc:gafd8fe4a6d87e947caa81a69ec36c1666"><td class="mdescLeft">&#160;</td><td class="mdescRight">Halfword packing instruction. Combines bits[31:16] of <em>val1</em> with bits[15:0] of <em>val2</em> right-shifted with the <em>val3</em>.  <a href="#gafd8fe4a6d87e947caa81a69ec36c1666"></a><br/></td></tr>
+<tr class="separator:gafd8fe4a6d87e947caa81a69ec36c1666"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p><b>Single Instruction Multiple Data (SIMD)</b> extensions are provided <b>only for Cortex-M4 and Cortex-M7 cores</b> to simplify development of application software. SIMD extensions increase the processing capability without materially increasing the power consumption. The SIMD extensions are completely transparent to the operating system (OS), allowing existing OS ports to be used.</p>
+<p><b>SIMD Features:</b></p>
+<ul>
+<li>Simultaneous computation of 2x16-bit or 4x8-bit operands</li>
+<li>Fractional arithmetic</li>
+<li>User definable saturation modes (arbitrary word-width)</li>
+<li>Dual 16x16 multiply-add/subtract 32x32 fractional MAC</li>
+<li>Simultaneous 8/16-bit select operations</li>
+<li>Performance up to 3.2 GOPS at 800MHz</li>
+<li>Performance is achieved with a "near zero" increase in power consumption on a typical implementation</li>
+</ul>
+<p><b>Examples:</b> </p>
+<p><b>Addition:</b> Add two values using SIMD function</p>
+<div class="fragment"><div class="line">uint32_t add_halfwords(uint32_t val1, uint32_t val2)</div>
+<div class="line">{</div>
+<div class="line">  <span class="keywordflow">return</span> <a class="code" href="group__intrinsic___s_i_m_d__gr.html#gad0bf46373a1c05aabf64517e84be5984" title="GE setting dual 16-bit signed addition.">__SADD16</a>(val1, val2);</div>
+<div class="line">}</div>
+</div><!-- fragment --><p><b>Subtraction:</b> Subtract two values using SIMD function</p>
+<div class="fragment"><div class="line">uint32_t sub_halfwords(uint32_t val1, uint32_t val2)</div>
+<div class="line">{</div>
+<div class="line">  <span class="keywordflow">return</span> <a class="code" href="group__intrinsic___s_i_m_d__gr.html#ga4262f73be75efbac6b46ab7c71aa6cbc" title="GE setting dual 16-bit signed subtraction.">__SSUB16</a>(val1, val2);</div>
+<div class="line">}</div>
+</div><!-- fragment --><p><b>Multiplication:</b> Performing a multiplication using SIMD function</p>
+<div class="fragment"><div class="line">uint32_t dual_mul_add_products(uint32_t val1, uint32_t val2)</div>
+<div class="line">{</div>
+<div class="line">  <span class="keywordflow">return</span> <a class="code" href="group__intrinsic___s_i_m_d__gr.html#gae326e368a1624d2dfb4b97c626939257" title="Q setting sum of dual 16-bit signed multiply.">__SMUAD</a>(val1, val2);</div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaefb8ebf3a54e197464da1ff69a44f4b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __PKHBT </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Combine a halfword from one register with a halfword from another register. The second argument can be left-shifted before extraction of the halfword. The registers PC and SP are not allowed as arguments. This instruction does not change the flags.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands </td></tr>
+    <tr><td class="paramname">val3</td><td>value for left-shifting <em>val2</em>. Value range [0..31].</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the combination of halfwords.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]</div>
+<div class="line">res[31:16] = val2[31:16]&lt;&lt;val3 </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafd8fe4a6d87e947caa81a69ec36c1666"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __PKHTB </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Combines a halfword from one register with a halfword from another register. The second argument can be right-shifted before extraction of the halfword. The registers PC and SP are not allowed as arguments. This instruction does not change the flags.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>second 16-bit operands </td></tr>
+    <tr><td class="paramname">val2</td><td>first 16-bit operands </td></tr>
+    <tr><td class="paramname">val3</td><td>value for right-shifting <em>val2</em>. Value range [1..32].</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the combination of halfwords.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val2[15:0]&gt;&gt;val3</div>
+<div class="line">res[31:16] = val1[31:16] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga17b873f246c9f5e9355760ffef3dad4a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QADD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to obtain the saturating add of two integers.<br/>
+ The Q bit is set if the operation saturates.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first summand of the saturating add operation. </td></tr>
+    <tr><td class="paramname">val2</td><td>second summand of the saturating add operation.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the saturating addition of val1 and val2.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[31:0] = SAT(val1 + SAT(val2))</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae83a53ec04b496304bed6d9fe8f7461b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit integer arithmetic additions in parallel, saturating the results to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the saturated addition of the low halfwords, in the low halfword of the return value. </li>
+<li>the saturated addition of the high halfwords, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0]</div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaf2f5a9132dcfc6d01d34cd971c425713"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four 8-bit integer additions, saturating the results to the 8-bit signed integer range -2<sup>7</sup> &lt;= x &lt;= 2<sup>7</sup> - 1. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the saturated addition of the first byte of each operand in the first byte of the return value. </li>
+<li>the saturated addition of the second byte of each operand in the second byte of the return value. </li>
+<li>the saturated addition of the third byte of each operand in the third byte of the return value. </li>
+<li>the saturated addition of the fourth byte of each operand in the fourth byte of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 16-bit signed integer range -2<sup>7</sup> &lt;= x &lt;= 2<sup>7</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8] </div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16] </div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24]          </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga87618799672e1511e33964bc71467eb3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the one operand, then add the high halfwords and subtract the low halfwords, saturating the results to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the subtraction in the low halfword, and the first operand for the addition in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the subtraction in the high halfword, and the second operand for the addition in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the saturated subtraction of the high halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the saturated addition of the high halfword in the first operand and the low halfword in the second operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[31:16]   </div>
+<div class="line">res[31:16] = val1[31:16] + val2[15:0]  </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab41eb2b17512ab01d476fc9d5bd19520"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QSAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of one operand, then subtract the high halfwords and add the low halfwords, saturating the results to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the addition in the low halfword, and the first operand for the subtraction in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the addition in the high halfword, and the second operand for the subtraction in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the saturated addition of the low halfword of the first operand and the high halfword of the second operand, in the low halfword of the return value. </li>
+<li>the saturated subtraction of the low halfword of the second operand from the high halfword of the first operand, in the high halfword of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3ba259f8f05a36f7b88b469a71ffc096"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QSUB </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to obtain the saturating subtraction of two integers.<br/>
+ The Q bit is set if the operation saturates.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>minuend of the saturating subtraction operation. </td></tr>
+    <tr><td class="paramname">val2</td><td>subtrahend of the saturating subtraction operation.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the saturating subtraction of val1 and val2.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[31:0] = SAT(val1 - SAT(val2))</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad089605c16df9823a2c8aaa37777aae5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QSUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit integer subtractions, saturating the results to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the saturated subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the returned result. </li>
+<li>the saturated subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the returned result.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 16-bit signed integer range -2<sup>15</sup> &lt;= x &lt;= 2<sup>15</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga753493a65493880c28baa82c151a0d61"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __QSUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four 8-bit integer subtractions, saturating the results to the 8-bit signed integer range -2<sup>7</sup> &lt;= x &lt;= 2<sup>7</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The returned results are saturated to the 8-bit signed integer range -2<sup>7</sup> &lt;= x &lt;= 2<sup>7</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad0bf46373a1c05aabf64517e84be5984"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed integer additions.<br/>
+ The GE bits in the APSR are set according to the results of the additions.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfwords in the low halfword of the return value. </li>
+<li>the addition of the high halfwords in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0]</div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac20aa0f741d0a1494d58c531e38d5785"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function performs four 8-bit signed integer additions. The GE bits of the APSR are set according to the results of the additions. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the first bytes from each operand, in the first byte of the return value. </li>
+<li>the addition of the second bytes of each operand, in the second byte of the return value. </li>
+<li>the addition of the third bytes of each operand, in the third byte of the return value. </li>
+<li>the addition of the fourth bytes of each operand, in the fourth byte of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[7:0] &gt;= 0 then APSR.GE[0] = 1 else 0 </li>
+<li>if res[15:8] &gt;= 0 then APSR.GE[1] = 1 else 0 </li>
+<li>if res[23:16] &gt;= 0 then APSR.GE[2] = 1 else 0 </li>
+<li>if res[31:24] &gt;= 0 then APSR.GE[3] = 1 else 0</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8] </div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16] </div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24]          </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5845084fd99c872e98cf5553d554de2a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function inserts an SASX instruction into the instruction stream generated by the compiler. It enables you to exchange the halfwords of the second operand, add the high halfwords and subtract the low halfwords.<br/>
+ The GE bits in the APRS are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the subtraction in the low halfword, and the first operand for the addition in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the subtraction in the high halfword, and the second operand for the addition in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the high halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the addition of the high halfword in the first operand and the low halfword in the second operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[31:16]   </div>
+<div class="line">res[31:16] = val1[31:16] + val2[15:0]  </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaf5448e591fe49161b6759b48aecb08fe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SEL </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function inserts a SEL instruction into the instruction stream generated by the compiler. It enables you to select bytes from the input parameters, whereby the bytes that are selected depend upon the results of previous SIMD instruction function. The results of previous SIMD instruction function are represented by the Greater than or Equal flags in the Application Program Status Register (APSR). The __SEL function works equally well on both halfword and byte operand function results. This is because halfword operand operations set two (duplicate) GE bits per value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>four selectable 8-bit values. </td></tr>
+    <tr><td class="paramname">val2</td><td>four selectable 8-bit values.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function selects bytes from the input parameters and returns them in the return value, res, according to the following criteria: <ul>
+<li>if APSR.GE[0] == 1 then res[7:0] = val1[7:0] else res[7:0] = val2[7:0] </li>
+<li>if APSR.GE[1] == 1 then res[15:8] = val1[15:8] else res[15:8] = val2[15:8] </li>
+<li>if APSR.GE[2] == 1 then res[23:16] = val1[23:16] else res[23:16] = val2[23:16] </li>
+<li>if APSR.GE[3] == 1 then res[31;24] = val1[31:24] else res = val2[31:24] </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga15d8899a173effb8ad8c7268da32b60e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two signed 16-bit integer additions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the low halfwords, in the low halfword of the return value. </li>
+<li>the halved addition of the high halfwords, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0]  &gt;&gt; 1</div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16] &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga524575b442ea01aec10c762bf4d85fea"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four signed 8-bit integer additions, halving the results. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the first bytes from each operand, in the first byte of the return value. </li>
+<li>the halved addition of the second bytes from each operand, in the second byte of the return value. </li>
+<li>the halved addition of the third bytes from each operand, in the third byte of the return value. </li>
+<li>the halved addition of the fourth bytes from each operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0]  &gt;&gt; 1</div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8] &gt;&gt; 1</div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16] &gt;&gt; 1</div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24] &gt;&gt; 1         </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae0a649035f67627464fd80e7218c89d5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the two halfwords of one operand, perform one signed 16-bit integer addition and one signed 16-bit subtraction, and halve the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the high halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the halved subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = (val1[15:0]  - val2[31:16]) &gt;&gt; 1  </div>
+<div class="line">res[31:16] = (val1[31:16] - val2[15:0] ) &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafadbd89c36b5addcf1ca10dd392db3e9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHSAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the two halfwords of one operand, perform one signed 16-bit integer subtraction and one signed 16-bit addition, and halve the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the low halfword in the first operand and the high halfword in the second operand, in the low halfword of the return value. </li>
+<li>the halved subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = (val1[15:0]  + val2[31:16]) &gt;&gt; 1</div>
+<div class="line">res[31:16] = (val1[31:16] - val2[15:0] ) &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga31328467f0f91b8ff9ae9a01682ad3bf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHSUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two signed 16-bit integer subtractions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the returned result. </li>
+<li>the halved subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the returned result.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]   &gt;&gt; 1</div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]  &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac3ec7215b354d925a239f3b31df2b77b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SHSUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four signed 8-bit integer subtractions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the halved subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the halved subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the halved subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0]   &gt;&gt; 1</div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]  &gt;&gt; 1</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16] &gt;&gt; 1</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24] &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae0c86f3298532183f3a29f5bb454d354"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMLAD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two signed 16-bit multiplications, adding both results to a 32-bit accumulate operand.<br/>
+ The Q bit is set if the addition overflows. Overflow cannot occur during the multiplications.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the product of each multiplication added to the accumulate value, as a 32-bit integer.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">res[31:0] = p1 + p2 + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9c286d330f4fb29b256335add91eec9f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMLADX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two signed 16-bit multiplications with exchanged halfwords of the second operand, adding both results to a 32-bit accumulate operand.<br/>
+ The Q bit is set if the addition overflows. Overflow cannot occur during the multiplications.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the product of each multiplication with exchanged halfwords of the second operand added to the accumulate value, as a 32-bit integer.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">res[31:0] = p1 + p2 + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad80e9b20c1736fd798f897362273a146"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint64_t __SMLALD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint64_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two signed 16-bit multiplications, adding both results to a 64-bit accumulate operand. Overflow is only possible as a result of the 64-bit addition. This overflow is not detected if it occurs. Instead, the result wraps around modulo2<sup>64</sup>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the product of each multiplication added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">sum = p1 + p2 + val3[63:32][31:0]</div>
+<div class="line">res[63:32] = sum[63:32]</div>
+<div class="line">res[31:0]  = sum[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad1adad1b3f2667328cc0db6c6b4f41cf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">unsigned long long __SMLALDX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">unsigned long long&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand, and perform two signed 16-bit multiplications, adding both results to a 64-bit accumulate operand. Overflow is only possible as a result of the 64-bit addition. This overflow is not detected if it occurs. Instead, the result wraps around modulo2<sup>64</sup>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the product of each multiplication added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">sum = p1 + p2 + val3[63:32][31:0]</div>
+<div class="line">res[63:32] = sum[63:32]</div>
+<div class="line">res[31:0] = sum[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaf4350af7f2030c36f43b2c104a9d16cd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMLSD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed multiplications, take the difference of the products, subtracting the high halfword product from the low halfword product, and add the difference to a 32-bit accumulate operand.<br/>
+ The Q bit is set if the accumulation overflows. Overflow cannot occur during the multiplications or the subtraction.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the product of each multiplication, added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">res[31:0] = p1 - p2 + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5290ce5564770ad124910d2583dc0a9e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMLSDX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords in the second operand, then perform two 16-bit signed multiplications. The difference of the products is added to a 32-bit accumulate operand.<br/>
+ The Q bit is set if the addition overflows. Overflow cannot occur during the multiplications or the subtraction.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the product of each multiplication, added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">res[31:0] = p1 - p2 + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5611f7314e0c8f53da377918dfbf42ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint64_t __SMLSLD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint64_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function It enables you to perform two 16-bit signed multiplications, take the difference of the products, subtracting the high halfword product from the low halfword product, and add the difference to a 64-bit accumulate operand. Overflow cannot occur during the multiplications or the subtraction. Overflow can occur as a result of the 64-bit addition, and this overflow is not detected. Instead, the result wraps round to modulo2<sup>64</sup>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the product of each multiplication, added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">res[63:0] = p1 - p2 + val3[63:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga83e69ef81057d3cbd06863d729385187"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">unsigned long long __SMLSLDX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">unsigned long long&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand, perform two 16-bit multiplications, adding the difference of the products to a 64-bit accumulate operand. Overflow cannot occur during the multiplications or the subtraction. Overflow can occur as a result of the 64-bit addition, and this overflow is not detected. Instead, the result wraps round to modulo2<sup>64</sup>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the product of each multiplication, added to the accumulate value.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">res[63:0] = p1 - p2 + val3[63:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaea60757232f740ec6b09980eebb614ff"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMMLA </td>
+          <td>(</td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform a signed 32-bit multiplications, adding the most significant 32 bits of the 64-bit result to a 32-bit accumulate operand.<br/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for multiplication. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulate value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the product of multiplication (most significant 32 bits) is added to the accumulate value, as a 32-bit integer.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p = val1 * val2</div>
+<div class="line">res[31:0] = p[61:32] + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae326e368a1624d2dfb4b97c626939257"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMUAD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed multiplications, adding the products together.<br/>
+ The Q bit is set if the addition overflows.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the products of the two 16-bit signed multiplications.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">res[31:0] = p1 + p2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaee6390f86965cb662500f690b0012092"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMUADX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed multiplications with exchanged halfwords of the second operand, adding the products together.<br/>
+ The Q bit is set if the addition overflows.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the products of the two 16-bit signed multiplications with exchanged halfwords of the second operand.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">res[31:0] = p1 + p2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga039142a5368840683cf329cb55b73f84"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMUSD </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed multiplications, taking the difference of the products by subtracting the high halfword product from the low halfword product.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the products of the two 16-bit signed multiplications.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[15:0]</div>
+<div class="line">p2 = val1[31:16] * val2[31:16]</div>
+<div class="line">res[31:0] = p1 - p2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gabb5bcba694bf17b141c32e6a8474f60e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SMUSDX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed multiplications, subtracting one of the products from the other. The halfwords of the second operand are exchanged before performing the arithmetic. This produces top * bottom and bottom * top multiplication.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operands for each multiplication. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit operands for each multiplication.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the difference of the products of the two 16-bit signed multiplications.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">p1 = val1[15:0]  * val2[31:16]</div>
+<div class="line">p2 = val1[31:16] * val2[15:0]</div>
+<div class="line">res[31:0] = p1 - p2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga95e666b82216066bf6064d1244e6883c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SSAT16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to saturate two signed 16-bit values to a selected signed range.<br/>
+ The Q bit is set if either operation saturates.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>two signed 16-bit values to be saturated. </td></tr>
+    <tr><td class="paramname">val2</td><td>bit position for saturation, an integral constant expression in the range 1 to 16.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the absolute differences of the following bytes, added to the accumulation value: <ul>
+<li>the signed saturation of the low halfword in <em>val1</em>, saturated to the bit position specified in <em>val2</em> and returned in the low halfword of the return value. </li>
+<li>the signed saturation of the high halfword in <em>val1</em>, saturated to the bit position specified in <em>val2</em> and returned in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">Saturate halfwords in val1 to the <span class="keywordtype">signed</span> range specified by the bit position in val2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9d3bc5c539f9bd50f7d59ffa37ac6a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SSAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the two halfwords of one operand and perform one 16-bit integer subtraction and one 16-bit addition.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the addition in the low halfword, and the first operand for the subtraction in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the addition in the high halfword, and the second operand for the subtraction in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfword in the first operand and the high halfword in the second operand, in the low halfword of the return value. </li>
+<li>the subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga4262f73be75efbac6b46ab7c71aa6cbc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SSUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit signed integer subtractions.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands of each subtraction. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands of each subtraction.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <ul>
+<li>res is the return value, then: </li>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaba63bb52e1e93fb527e26f3d474da12e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SSUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four 8-bit signed integer subtractions.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands of each subtraction. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands of each subtraction.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on </dt><dd>the results of the operation.</dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[8:0] &gt;= 0 then APSR.GE[0] = 1 else 0 </li>
+<li>if res[15:8] &gt;= 0 then APSR.GE[1] = 1 else 0 </li>
+<li>if res[23:16] &gt;= 0 then APSR.GE[2] = 1 else 0 </li>
+<li>if res[31:24] &gt;= 0 then APSR.GE[3] = 1 else 0</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac540b4fc41d30778ba102d2a65db5589"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SXTAB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to extract two 8-bit values from the second operand (at bit positions [7:0] and [23:16]), sign-extend them to 16-bits each, and add the results to the first operand.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>values added to the zero-extended to 16-bit values. </td></tr>
+    <tr><td class="paramname">val2</td><td>two 8-bit values to be extracted and zero-extended.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the addition of <em>val1</em> and <em>val2</em>, where the 8-bit values in val2[7:0] and val2[23:16] have been extracted and sign-extended prior to the addition.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + SignExtended(val2[7:0])</div>
+<div class="line">res[31:16] = val1[31:16] + SignExtended(val2[23:16])</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga38dce3dd13ba212e80ec3cff4abeb11a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __SXTB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to extract two 8-bit values from an operand and sign-extend them to 16 bits each.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val</td><td>two 8-bit values in val[7:0] and val[23:16] to be sign-extended.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 8-bit values sign-extended to 16-bit values. <ul>
+<li>sign-extended value of val[7:0] in the low halfword of the return value. </li>
+<li>sign-extended value of val[23:16] in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = SignExtended(val[7:0]</div>
+<div class="line">res[31:16] = SignExtended(val[23:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaa1160f0cf76d6aa292fbad54a1aa6b74"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit unsigned integer additions.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands for each addition. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands for each addition.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfwords in each operand, in the low halfword of the return value. </li>
+<li>the addition of the high halfwords in each operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0x10000 then APSR.GE[0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0x10000 then APSR.GE[1] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0] </div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab3d7fd00d113b20fb3741a17394da762"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit integer additions. The GE bits of the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands for each addition. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands for each addition.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the first bytes from each operand, in the first byte of the return value. </li>
+<li>the halved addition of the second bytes from each operand, in the second byte of the return value. </li>
+<li>the halved addition of the third bytes from each operand, in the third byte of the return value. </li>
+<li>the halved addition of the fourth bytes from each operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation.</dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[7:0] &gt;= 0x100 then APSR.GE[0] = 1 else 0 </li>
+<li>if res[15:8] &gt;= 0x100 then APSR.GE[1] = 1 else 0 </li>
+<li>if res[23:16] &gt;= 0x100 then APSR.GE[2] = 1 else 0 </li>
+<li>if res[31:24] &gt;= 0x100 then APSR.GE[3] = 1 else 0</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga980353d2c72ebb879282e49f592fddc0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the two halfwords of the second operand, add the high halfwords and subtract the low halfwords.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the subtraction in the low halfword, and the first operand for the addition in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the subtraction in the high halfword and the second operand for the addition in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the high halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the addition of the high halfword in the first operand and the low halfword in the second operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation.</dd></dl>
+<dl class="section user"><dt>If <em>res</em> is the return value, then:</dt><dd><ul>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0x10000 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] + val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gabd0b0e2da2e6364e176d051687702b86"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two unsigned 16-bit integer additions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the low halfwords in each operand, in the low halfword of the return value. </li>
+<li>the halved addition of the high halfwords in each operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0]   &gt;&gt; 1</div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16]  &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3a14e5485e59bf0f23595b7c2a94eb0b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit integer additions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the first bytes in each operand, in the first byte of the return value. </li>
+<li>the halved addition of the second bytes in each operand, in the second byte of the return value. </li>
+<li>the halved addition of the third bytes in each operand, in the third byte of the return value. </li>
+<li>the halved addition of the fourth bytes in each operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0]   &gt;&gt; 1</div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8]  &gt;&gt; 1</div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16] &gt;&gt; 1</div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24] &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga028f0732b961fb6e5209326fb3855261"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand, add the high halfwords and subtract the low halfwords, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the subtraction in the low halfword, and the first operand for the addition in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the subtraction in the high halfword, and the second operand for the addition in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the high halfword in the second operand from the low halfword in the first operand. </li>
+<li>the halved addition of the high halfword in the first operand and the low halfword in the second operand.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = (val1[15:0]  - val2[31:16]) &gt;&gt; 1</div>
+<div class="line">res[31:16] = (val1[31:16] + val2[15:0] ) &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga09e129e6613329aab87c89f1108b7ed7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHSAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand, subtract the high halfwords and add the low halfwords, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the addition in the low halfword, and the first operand for the subtraction in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the addition in the high halfword, and the second operand for the subtraction in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the high halfword in the second operand and the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the halved subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = (val1[15:0]  + val2[31:16]) &gt;&gt; 1</div>
+<div class="line">res[31:16] = (val1[31:16] - val2[15:0] ) &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga1f7545b8dc33bb97982731cb9d427a69"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHSUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two unsigned 16-bit integer subtractions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the halved subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]   &gt;&gt; 1</div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]  &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga48a55df1c3e73923b73819d7c19b392d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UHSUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit integer subtractions, halving the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the halved subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the halved subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the halved subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0]    &gt;&gt; 1</div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]   &gt;&gt; 1</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16]  &gt;&gt; 1</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24]  &gt;&gt; 1</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9e2cc5117e79578a08b25f1e89022966"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQADD16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two unsigned 16-bit integer additions, saturating the results to the 16-bit unsigned integer range 0 &lt; x &lt; 2<sup>16</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfword in the first operand and the low halfword in the second operand, in the low halfword of the return value. </li>
+<li>the addition of the high halfword in the first operand and the high halfword in the second operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 16-bit unsigned integer range 0 &lt; x &lt; 2<sup>16</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[15:0] </div>
+<div class="line">res[31:16] = val1[31:16] + val2[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafa9af218db3934a692fb06fa728d8031"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQADD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit integer additions, saturating the results to the 8-bit unsigned integer range 0 &lt; x &lt; 2<sup>8</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit summands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit summands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the halved addition of the first bytes in each operand, in the first byte of the return value. </li>
+<li>the halved addition of the second bytes in each operand, in the second byte of the return value. </li>
+<li>the halved addition of the third bytes in each operand, in the third byte of the return value. </li>
+<li>the halved addition of the fourth bytes in each operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 8-bit unsigned integer range 0 &lt; x &lt; 2<sup>8</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   + val2[7:0] </div>
+<div class="line">res[15:8]  = val1[15:8]  + val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] + val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] + val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5eff3ae5eabcd73f3049996ca391becb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQASX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand and perform one unsigned 16-bit integer addition and one unsigned 16-bit subtraction, saturating the results to the 16-bit unsigned integer range 0 &lt;= x &lt;= 2<sup>16</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the high halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 16-bit unsigned integer range 0 &lt;= x &lt;= 2<sup>16</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] + val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gadecfdfabc328d8939d49d996f2fd4482"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQSAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand and perform one unsigned 16-bit integer subtraction and one unsigned 16-bit addition, saturating the results to the 16-bit unsigned integer range 0 &lt;= x &lt;= 2<sup>16</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first 16-bit operand for the addition in the low halfword, and the first 16-bit operand for the subtraction in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second 16-bit halfword for the addition in the high halfword, and the second 16-bit halfword for the subtraction in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfword in the first operand and the high halfword in the second operand, in the low halfword of the return value. </li>
+<li>the subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 16-bit unsigned integer range 0 &lt;= x &lt;= 2<sup>16</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5ec4e2e231d15e5c692233feb3806187"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQSUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two unsigned 16-bit integer subtractions, saturating the results to the 16-bit unsigned integer range 0 &lt; x &lt; 2<sup>16</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands for each subtraction. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands for each subtraction.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 16-bit unsigned integer range 0 &lt; x &lt; 2<sup>16</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]   </div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]  </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9736fe816aec74fe886e7fb949734eab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UQSUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit integer subtractions, saturating the results to the 8-bit unsigned integer range 0 &lt; x &lt; 2<sup>8</sup> - 1.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The results are saturated to the 8-bit unsigned integer range 0 &lt; x &lt; 2<sup>8</sup> - 1.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0]</div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac8855c07044239ea775c8128013204f0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USAD8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit subtractions, and add the absolute values of the differences together, returning the result as a single unsigned integer.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands for the subtractions. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands for the subtractions.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The sum is returned as a single unsigned integer.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">absdiff1  = val1[7:0]   - val2[7:0]</div>
+<div class="line">absdiff2  = val1[15:8]  - val2[15:8]</div>
+<div class="line">absdiff3  = val1[23:16] - val2[23:16]</div>
+<div class="line">absdiff4  = val1[31:24] - val2[31:24]</div>
+<div class="line">res[31:0] = absdiff1 + absdiff2 + absdiff3 + absdiff4</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad032bd21f013c5d29f5fcb6b0f02bc3f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USADA8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four unsigned 8-bit subtractions, and add the absolute values of the differences to a 32-bit accumulate operand.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands for the subtractions. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands for the subtractions. </td></tr>
+    <tr><td class="paramname">val3</td><td>accumulation value.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the sum of the absolute differences of the following bytes, added to the accumulation value: <ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">absdiff1  = val1[7:0]   - val2[7:0]</div>
+<div class="line">absdiff2  = val1[15:8]  - val2[15:8]</div>
+<div class="line">absdiff3  = val1[23:16] - val2[23:16]</div>
+<div class="line">absdiff4  = val1[31:24] - val2[31:24]</div>
+<div class="line">sum       = absdiff1 + absdiff2 + absdiff3 + absdiff4</div>
+<div class="line">res[31:0] = sum[31:0] + val3[31:0]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga967f516afff5900cf30f1a81907cdd89"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USAT16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to saturate two signed 16-bit values to a selected unsigned range.<br/>
+ The Q bit is set if either operation saturates.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>two 16-bit values that are to be saturated. </td></tr>
+    <tr><td class="paramname">val2</td><td>bit position for saturation, and must be an integral constant expression in the range 0 to 15.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the saturation of the two signed 16-bit values, as non-negative values. <ul>
+<li>the saturation of the low halfword in <em>val1</em>, saturated to the bit position specified in <em>val2</em> and returned in the low halfword of the return value. </li>
+<li>the saturation of the high halfword in <em>val1</em>, saturated to the bit position specified in <em>val2</em> and returned in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">Saturate halfwords in val1 to the <span class="keywordtype">unsigned</span> range specified by the bit position in val2</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga578a082747436772c482c96d7a58e45e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USAX </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to exchange the halfwords of the second operand, subtract the high halfwords and add the low halfwords.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first operand for the addition in the low halfword, and the first operand for the subtraction in the high halfword. </td></tr>
+    <tr><td class="paramname">val2</td><td>second operand for the addition in the high halfword, and the second operand for the subtraction in the low halfword.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the addition of the low halfword in the first operand and the high halfword in the second operand, in the low halfword of the return value. </li>
+<li>the subtraction of the low halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation. </dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0x10000 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  + val2[31:16]</div>
+<div class="line">res[31:16] = val1[31:16] - val2[15:0] </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9f2b77e11fc4a77b26c36c423ed45b4e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USUB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform two 16-bit unsigned integer subtractions.<br/>
+ The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first two 16-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second two 16-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the low halfword in the second operand from the low halfword in the first operand, in the low halfword of the return value. </li>
+<li>the subtraction of the high halfword in the second operand from the high halfword in the first operand, in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation.</dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[15:0] &gt;= 0 then APSR.GE[1:0] = 11 else 00 </li>
+<li>if res[31:16] &gt;= 0 then APSR.GE[3:2] = 11 else 00</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = val1[15:0]  - val2[15:0]   </div>
+<div class="line">res[31:16] = val1[31:16] - val2[31:16]  </div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gacb7257dc3b8e9acbd0ef0e31ff87d4b8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __USUB8 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to perform four 8-bit unsigned integer subtractions. The GE bits in the APSR are set according to the results.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>first four 8-bit operands. </td></tr>
+    <tr><td class="paramname">val2</td><td>second four 8-bit operands.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><ul>
+<li>the subtraction of the first byte in the second operand from the first byte in the first operand, in the first bytes of the return value. </li>
+<li>the subtraction of the second byte in the second operand from the second byte in the first operand, in the second byte of the return value. </li>
+<li>the subtraction of the third byte in the second operand from the third byte in the first operand, in the third byte of the return value. </li>
+<li>the subtraction of the fourth byte in the second operand from the fourth byte in the first operand, in the fourth byte of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Each bit in APSR.GE is set or cleared for each byte in the return value, depending on the results of the operation.</dd></dl>
+<dl class="section user"><dt></dt><dd>If <em>res</em> is the return value, then: <ul>
+<li>if res[8:0] &gt;= 0 then APSR.GE[0] = 1 else 0 </li>
+<li>if res[15:8] &gt;= 0 then APSR.GE[1] = 1 else 0 </li>
+<li>if res[23:16] &gt;= 0 then APSR.GE[2] = 1 else 0 </li>
+<li>if res[31:24] &gt;= 0 then APSR.GE[3] = 1 else 0</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[7:0]   = val1[7:0]   - val2[7:0]</div>
+<div class="line">res[15:8]  = val1[15:8]  - val2[15:8]</div>
+<div class="line">res[23:16] = val1[23:16] - val2[23:16]</div>
+<div class="line">res[31:24] = val1[31:24] - val2[31:24]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gad25ce96db0f17096bbd815f4817faf09"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UXTAB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to extract two 8-bit values from one operand, zero-extend them to 16 bits each, and add the results to two 16-bit values from another operand.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val1</td><td>value added to the zero-extended to 16-bit values. </td></tr>
+    <tr><td class="paramname">val2</td><td>two 8-bit values to be extracted and zero-extended.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 8-bit values in <em>val2</em>, zero-extended to 16-bit values and added to <em>val1</em>.</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = ZeroExt(val2[7:0]   to 16 bits) + val1[15:0]</div>
+<div class="line">res[31:16] = ZeroExt(val2[31:16] to 16 bits) + val1[31:16]</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab41d713653b16f8d9fef44d14e397228"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t __UXTB16 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>val</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function enables you to extract two 8-bit values from an operand and zero-extend them to 16 bits each.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">val</td><td>two 8-bit values in val[7:0] and val[23:16] to be sign-extended.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the 8-bit values zero-extended to 16-bit values. <ul>
+<li>zero-extended value of val[7:0] in the low halfword of the return value. </li>
+<li>zero-extended value of val[23:16] in the high halfword of the return value.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Operation:</dt><dd><div class="fragment"><div class="line">res[15:0]  = ZeroExtended(val[7:0]  )</div>
+<div class="line">res[31:16] = ZeroExtended(val[23:16])</div>
+</div><!-- fragment --> </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/group__intrinsic___s_i_m_d__gr.js b/Documentation/Core/html/group__intrinsic___s_i_m_d__gr.js
new file mode 100644
index 0000000..ef0bb50
--- /dev/null
+++ b/Documentation/Core/html/group__intrinsic___s_i_m_d__gr.js
@@ -0,0 +1,65 @@
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<a href="#define-members">Macros</a>  </div>
+  <div class="headertitle">
+<div class="title">Peripheral Access</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Describes naming conventions, requirements, and optional features for accessing peripherals.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga286e3b913dbd236c7f48ea70c8821f4e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e">_VAL2FLD</a>(field, value)</td></tr>
+<tr class="memdesc:ga286e3b913dbd236c7f48ea70c8821f4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mask and shift a bit field value for assigning to result to a peripheral register.  <a href="#ga286e3b913dbd236c7f48ea70c8821f4e"></a><br/></td></tr>
+<tr class="separator:ga286e3b913dbd236c7f48ea70c8821f4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga139b6e261c981f014f386927ca4a8444"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444">_FLD2VAL</a>(field, value)</td></tr>
+<tr class="memdesc:ga139b6e261c981f014f386927ca4a8444"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract from a peripheral register value the a bit field value.  <a href="#ga139b6e261c981f014f386927ca4a8444"></a><br/></td></tr>
+<tr class="separator:ga139b6e261c981f014f386927ca4a8444"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The section below describes the naming conventions, requirements, and optional features for accessing device specific peripherals. Most of the rules also apply to the core peripherals. The <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> contains typically these definition and also includes the core specific header files.</p>
+<p>Most of the definitions can be generated using the <a href="../../SVD/html/index.html"><b>CMSIS-SVD</b></a> System View Description for Peripherals. Refer to <a href="../../SVD/html/svd__s_v_d_conv_pg.html"><b>SVDConv.exe</b></a> for more information.</p>
+<p>Each peripheral provides a data type definition with a name that is composed of:</p>
+<ul>
+<li>prefix <b>&lt;<em>device abbreviation&gt;</em>_</b></li>
+<li><b>&lt;<em>peripheral name</em>&gt;</b></li>
+<li>postfix <b>_Type</b> or <b>_TypeDef</b> to identify a type definition.</li>
+</ul>
+<p>Example: <b>LPC_UART_TypeDef</b> for the device <b>LPC</b> and the peripheral <b>UART</b>.</p>
+<p>The data type definition uses standard C data types defined by the ANSI C header file &lt;stdint.h&gt;.</p>
+<ul>
+<li>IO Type Qualifiers are used to specify the access to peripheral variables. <table class="doxtable">
+<tr>
+<th align="left">IO Type Qualifier </th><th align="left">Type </th><th align="left">Description</th></tr>
+<tr>
+<td align="left"><b>__IM</b> </td><td align="left">Struct member </td><td align="left">Defines 'read only' permissions </td></tr>
+<tr>
+<td align="left"><b>__OM</b> </td><td align="left">Struct member </td><td align="left">Defines 'write only' permissions </td></tr>
+<tr>
+<td align="left"><b>__IOM</b> </td><td align="left">Struct member </td><td align="left">Defines 'read / write' permissions </td></tr>
+<tr>
+<td align="left"><b>__I</b> </td><td align="left">Scalar variable </td><td align="left">Defines 'read only' permissions </td></tr>
+<tr>
+<td align="left"><b>__O</b> </td><td align="left">Scalar variable </td><td align="left">Defines 'write only' permissions </td></tr>
+<tr>
+<td align="left"><b>__IO</b> </td><td align="left">Scalar variable </td><td align="left">Defines 'read / write' permissions </td></tr>
+</table>
+</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd><b>__IM</b>, <b>__OM</b>, <b>__IOM</b> are added in CMSIS-Core V4.20 to enhance support for C++. Prior version used <b>__I</b>, <b>__O</b>, <b>__IO</b> also for struct member definitions.</dd></dl>
+<p>The typedef <b>&lt;<em>device abbreviation</em>&gt;_UART_TypeDef</b> shown below defines the generic register layout for all UART channels in a device.</p>
+<div class="fragment"><div class="line"><span class="keyword">typedef</span> <span class="keyword">struct</span></div>
+<div class="line">{</div>
+<div class="line">  <span class="keyword">union </span>{</div>
+<div class="line">  __IM  uint8_t  RBR;                 <span class="comment">/* Offset: 0x000 (R/ )  Receiver Buffer Register            */</span></div>
+<div class="line">  __OM  uint8_t  THR;                 <span class="comment">/* Offset: 0x000 ( /W)  Transmit Holding Register           */</span></div>
+<div class="line">  __IOM uint8_t  DLL;                 <span class="comment">/* Offset: 0x000 (R/W)  Divisor Latch LSB                   */</span></div>
+<div class="line">        uint32_t RESERVED0;</div>
+<div class="line">  };</div>
+<div class="line">  <span class="keyword">union </span>{</div>
+<div class="line">  __IOM uint8_t  DLM;                 <span class="comment">/* Offset: 0x004 (R/W)  Divisor Latch MSB                   */</span></div>
+<div class="line">  __IOM uint32_t IER;                 <span class="comment">/* Offset: 0x004 (R/W)  Interrupt Enable Register           */</span></div>
+<div class="line">  };</div>
+<div class="line">  <span class="keyword">union </span>{</div>
+<div class="line">  __IM  uint32_t IIR;                 <span class="comment">/* Offset: 0x008 (R/ )  Interrupt ID Register               */</span></div>
+<div class="line">  __OM  uint8_t  FCR;                 <span class="comment">/* Offset: 0x008 ( /W)  FIFO Control Register               */</span></div>
+<div class="line">  };</div>
+<div class="line">  __IOM uint8_t  LCR;                 <span class="comment">/* Offset: 0x00C (R/W)  Line Control Register               */</span></div>
+<div class="line">        uint8_t  RESERVED1[7];</div>
+<div class="line">  __IM  uint8_t  LSR;                 <span class="comment">/* Offset: 0x014 (R/ )  Line Status Register                */</span></div>
+<div class="line">        uint8_t  RESERVED2[7];</div>
+<div class="line">  __IOM uint8_t  SCR;                 <span class="comment">/* Offset: 0x01C (R/W)  Scratch Pad Register                */</span></div>
+<div class="line">        uint8_t  RESERVED3[3];</div>
+<div class="line">  __IOM uint32_t ACR;                 <span class="comment">/* Offset: 0x020 (R/W)  Autobaud Control Register           */</span></div>
+<div class="line">  __IOM uint8_t  ICR;                 <span class="comment">/* Offset: 0x024 (R/W)  IrDA Control Register               */</span></div>
+<div class="line">        uint8_t  RESERVED4[3];</div>
+<div class="line">  __IOM uint8_t  FDR;                 <span class="comment">/* Offset: 0x028 (R/W)  Fractional Divider Register         */</span></div>
+<div class="line">        uint8_t  RESERVED5[7];</div>
+<div class="line">  __IOM uint8_t  TER;                 <span class="comment">/* Offset: 0x030 (R/W)  Transmit Enable Register            */</span></div>
+<div class="line">        uint8_t  RESERVED6[39];</div>
+<div class="line">  __IM  uint8_t  FIFOLVL;             <span class="comment">/* Offset: 0x058 (R/ )  FIFO Level Register                 */</span></div>
+<div class="line">} LPC_UART_TypeDef;</div>
+</div><!-- fragment --><p>To access the registers of the UART defined above, pointers to this register structure are defined. If more instances of a peripheral exist, the variables have a postfix (digit or letter) that identifies the peripheral.</p>
+<p><b>Example:</b> In this example <b>LPC_UART2</b> and <b>LPC_UART3</b> are two pointers to UARTs defined with above register structure. <br/>
+ </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#define LPC_UART2             ((LPC_UART_TypeDef      *) LPC_UART2_BASE    )</span></div>
+<div class="line"><span class="preprocessor">#define LPC_UART3             ((LPC_UART_TypeDef      *) LPC_UART3_BASE    )</span></div>
+</div><!-- fragment --><p>The registers in the various UARTs can now be referred in the user code as shown below:<br/>
+ </p>
+<div class="fragment"><div class="line">val = LPC_UART2-&gt;DR   <span class="comment">// is the data register of UART1.</span></div>
+</div><!-- fragment --><hr/>
+<h1><a class="anchor" id="core_cmsis_pal_min_reqs"></a>
+Minimal Requirements</h1>
+<p>To access the peripheral registers and related function in a device, the files <b><em>device.h</em></b> and <b>core_cm<em>#</em>.h</b> define as a minimum: <br/>
+<br/>
+</p>
+<ul>
+<li>The <b>Register Layout Typedef</b> for each peripheral that defines all register names. RESERVED is used to introduce space into the structure for adjusting the addresses of the peripheral registers. <br/>
+<br/>
+ <b>Example:</b> <div class="fragment"><div class="line"><span class="keyword">typedef</span> <span class="keyword">struct</span></div>
+<div class="line">{</div>
+<div class="line">  __IOM uint32_t CTRL;                <span class="comment">/* Offset: 0x000 (R/W)  SysTick Control and Status Register */</span></div>
+<div class="line">  __IOM uint32_t LOAD;                <span class="comment">/* Offset: 0x004 (R/W)  SysTick Reload Value Register       */</span></div>
+<div class="line">  __IOM uint32_t VAL;                 <span class="comment">/* Offset: 0x008 (R/W)  SysTick Current Value Register      */</span></div>
+<div class="line">  __IM  uint32_t CALIB;               <span class="comment">/* Offset: 0x00C (R/ )  SysTick Calibration Register        */</span></div>
+<div class="line">} <a class="code" href="struct_sys_tick___type.html" title="Structure type to access the System Timer (SysTick).">SysTick_Type</a>;</div>
+</div><!-- fragment --></li>
+</ul>
+<ul>
+<li><b>Base Address</b> for each peripheral (in case of multiple peripherals that use the same <b>register layout typedef</b> multiple base addresses are defined). <br/>
+<br/>
+ <b>Example:</b> <div class="fragment"><div class="line"><span class="preprocessor">#define SysTick_BASE (SCS_BASE + 0x0010)            </span><span class="comment">/* SysTick Base Address     */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></li>
+</ul>
+<ul>
+<li><b>Access Definitions</b> for each peripheral. In case of multiple peripherals that are using the same <b>register layout typdef</b>, multiple access definitions exist (LPC_UART0, LPC_UART2). <br/>
+<br/>
+ <b>Example:</b> <div class="fragment"><div class="line"><span class="preprocessor">#define SysTick ((SysTick_Type *) Systick_BASE)    </span><span class="comment">/* SysTick access definition */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --></li>
+</ul>
+<p>These definitions allow accessing peripheral registers with simple assignments.</p>
+<ul>
+<li><b>Example:</b> <br/>
+ <div class="fragment"><div class="line">SysTick-&gt;CTRL = 0;</div>
+</div><!-- fragment --></li>
+</ul>
+<hr/>
+<h1><a class="anchor" id="core_cmsis_pal_opts"></a>
+Optional Features</h1>
+<p>Optionally, the file <b><em>device</em>.h</b> may define:</p>
+<ul>
+<li><a class="el" href="group__peripheral__gr.html#core_cmsis_pal_bitfields">Register Bit Fields</a> and #define constants that simplify access to peripheral registers. These constants may define bit-positions or other specific patterns that are required for programming peripheral registers. The identifiers should start with <b>&lt;<em>device abbreviation</em>&gt;_</b> and <b>&lt;<em>peripheral name</em>&gt;_</b>. It is recommended to use CAPITAL letters for #define constants.</li>
+</ul>
+<ul>
+<li>More complex functions (i.e. status query before a sending register is accessed). Again, these functions start with <b>&lt;<em>device abbreviation</em>&gt;_</b> and <b>&lt;<em>peripheral name</em>&gt;_</b>.</li>
+</ul>
+<hr/>
+<h1><a class="anchor" id="core_cmsis_pal_bitfields"></a>
+Register Bit Fields</h1>
+<p>For Core Register, macros define the position and the mask value for a bit field. It is recommended to create such definitions also for other peripheral registers.</p>
+<p><b>Example:</b></p>
+<p>Bit field definitions for register CPUID in SCB (System Control Block).</p>
+<div class="fragment"><div class="line"><span class="comment">/* SCB CPUID Register Definitions */</span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_IMPLEMENTER_Pos      24U                                       </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_IMPLEMENTER_Msk      (0xFFUL &lt;&lt; SCB_CPUID_IMPLEMENTER_Pos)     </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_VARIANT_Pos          20U                                       </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_VARIANT_Msk          (0xFUL &lt;&lt; SCB_CPUID_VARIANT_Pos)          </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_ARCHITECTURE_Pos     16U                                       </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_ARCHITECTURE_Msk     (0xFUL &lt;&lt; SCB_CPUID_ARCHITECTURE_Pos)     </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_PARTNO_Pos            4U                                       </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_PARTNO_Msk           (0xFFFUL &lt;&lt; SCB_CPUID_PARTNO_Pos)         </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_REVISION_Pos          0U                                       </span></div>
+<div class="line"><span class="preprocessor">#define SCB_CPUID_REVISION_Msk         (0xFUL </span><span class="comment">/*&lt;&lt; SCB_CPUID_REVISION_Pos*/</span><span class="preprocessor">)     </span></div>
+</div><!-- fragment --><p>The macros <b><a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e" title="Mask and shift a bit field value for assigning to result to a peripheral register.">_VAL2FLD(field, value)</a></b> and <b><a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444" title="Extract from a peripheral register value the a bit field value.">_FLD2VAL(field, value)</a></b> enable access to bit fields. </p>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga139b6e261c981f014f386927ca4a8444"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define _FLD2VAL</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">field, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">value&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">field</td><td>name of bit field. </td></tr>
+    <tr><td class="paramname">value</td><td>value of the register</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The macro <a class="el" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444">_FLD2VAL</a> uses the #define's <em>_Pos</em> and <em>_Msk</em> of the related bit field to extract the value of a bit field from a register.</p>
+<p><b>Example:</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">id</span> = = <a class="code" href="group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444" title="Extract from a peripheral register value the a bit field value.">_FLD2VAL</a>(SCB_CPUID_REVISION, SCB-&gt;CPUID);</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga286e3b913dbd236c7f48ea70c8821f4e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define _VAL2FLD</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">field, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">value&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">field</td><td>name of bit field. </td></tr>
+    <tr><td class="paramname">value</td><td>value for the bit field.</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The macro <a class="el" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e">_VAL2FLD</a> uses the #define's <em>_Pos</em> and <em>_Msk</em> of the related bit field to shift bit-field values for assigning to a register.</p>
+<p><b>Example:</b> </p>
+<div class="fragment"><div class="line">SCB-&gt;CPUID = <a class="code" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e" title="Mask and shift a bit field value for assigning to result to a peripheral register.">_VAL2FLD</a>(SCB_CPUID_REVISION, 0x3) | <a class="code" href="group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e" title="Mask and shift a bit field value for assigning to result to a peripheral register.">_VAL2FLD</a>(SCB_CPUID_VARIANT, 0x3);</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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new file mode 100644
index 0000000..39b83c7
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+++ b/Documentation/Core/html/group__peripheral__gr.js
@@ -0,0 +1,5 @@
+var group__peripheral__gr =
+[
+    [ "_FLD2VAL", "group__peripheral__gr.html#ga139b6e261c981f014f386927ca4a8444", null ],
+    [ "_VAL2FLD", "group__peripheral__gr.html#ga286e3b913dbd236c7f48ea70c8821f4e", null ]
+];
\ No newline at end of file
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+++ b/Documentation/Core/html/group__system__init__gr.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>System and Clock Configuration</title>
+<title>CMSIS-CORE: System and Clock Configuration</title>
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">System and Clock Configuration</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Describes system_<em>device</em>.c file that contains functions for system and clock setup.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:ga93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to Initialize the system.  <a href="#ga93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:ga93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:gae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to update the variable <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.  <a href="#gae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:gae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:gaa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="memdesc:gaa3cd3e43291e81e795d642b79b6088e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Variable to hold the system core clock value.  <a href="#gaa3cd3e43291e81e795d642b79b6088e6"></a><br/></td></tr>
+<tr class="separator:gaa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>ARM provides a template file <b>system_<em>device</em>.c</b> that must be adapted by the silicon vendor to match their actual device. As a <b>minimum requirement</b>, this file must provide:</p>
+<ul>
+<li>A device-specific system configuration function, <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</li>
+<li>A global variable that contains the system frequency, <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</li>
+</ul>
+<p>The file configures the device and, typically, initializes the oscillator (PLL) that is part of the microcontroller device. This file might export other functions or variables that provide a more flexible configuration of the microcontroller system.</p>
+<h1><a class="anchor" id="system_init_code_ex_sec"></a>
+Code Example</h1>
+<p>The code below shows the usage of the variable <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a> and the functions <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2" title="Function to Initialize the system.">SystemInit()</a> and <a class="el" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f" title="Function to update the variable SystemCoreClock.">SystemCoreClockUpdate()</a> with an LPC1700.</p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;LPC17xx.h&quot;</span></div>
+<div class="line"></div>
+<div class="line">uint32_t coreClock_1 = 0;                       <span class="comment">/* Variables to store core clock values */</span></div>
+<div class="line">uint32_t coreClock_2 = 0;</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>)  {</div>
+<div class="line"></div>
+<div class="line">  coreClock_1 = <a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a>;                <span class="comment">/* Store value of predefined SystemCoreClock */</span></div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f" title="Function to update the variable SystemCoreClock.">SystemCoreClockUpdate</a>();                      <span class="comment">/* Update SystemCoreClock according to register settings */</span></div>
+<div class="line"></div>
+<div class="line">  coreClock_2 = <a class="code" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6" title="Variable to hold the system core clock value.">SystemCoreClock</a>;                <span class="comment">/* Store value of calculated SystemCoreClock */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (coreClock_2 != coreClock_1)  {            <span class="comment">/* Without changing the clock setting both core clock values should be the same */</span> </div>
+<div class="line">    <span class="comment">// Error Handling</span></div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);</div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Updates the variable <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a> and must be called whenever the core clock is changed during program execution. The function evaluates the clock register settings and calculates the current core clock. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initializes the microcontroller system. Typically, this function configures the oscillator (PLL) that is part of the microcontroller device. For systems with a variable clock speed, it updates the variable <a class="el" href="group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>. SystemInit is called from the file <b>startup<em>_device</em></b>. </p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="gaa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Holds the system core clock, which is the system clock frequency supplied to the SysTick timer and the processor core clock. This variable can be used by debuggers to query the frequency of the debug timer or to configure the trace clock speed.</p>
+<dl class="section attention"><dt>Attention</dt><dd>Compilers must be configured to avoid removing this variable in case the application program is not using it. Debugging systems require the variable to be physically present in memory so that it can be examined to configure the debugger. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
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+	<!--
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+    [ "SystemCoreClockUpdate", "group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f", null ],
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+    [ "SystemCoreClock", "group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6", null ]
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('index.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Overview </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>CMSIS-CORE implements the basic run-time system for a Cortex-M device and gives the user access to the processor core and the device peripherals. In detail it defines:</p>
+<ul>
+<li><b>Hardware Abstraction Layer (HAL)</b> for Cortex-M processor registers with standardized definitions for the SysTick, NVIC, System Control Block registers, MPU registers, FPU registers, and core access functions.</li>
+<li><b>System exception names</b> to interface to system exceptions without having compatibility issues.</li>
+<li><b>Methods to organize header files</b> that makes it easy to learn new Cortex-M microcontroller products and improve software portability. This includes naming conventions for device-specific interrupts.</li>
+<li><b>Methods for system initialization</b> to be used by each MCU vendor. For example, the standardized <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2" title="Function to Initialize the system.">SystemInit()</a> function is essential for configuring the clock system of the device.</li>
+<li><b>Intrinsic functions</b> used to generate CPU instructions that are not supported by standard C functions.</li>
+<li>A variable to determine the <b>system clock frequency</b> which simplifies the setup the SysTick timer.</li>
+</ul>
+<p>The following sections provide details about the CMSIS-CORE:</p>
+<ul>
+<li><a class="el" href="_using_pg.html">Using CMSIS in Embedded Applications</a> describes the project setup and shows a simple program example.</li>
+<li><a class="el" href="_templates_pg.html">Template Files</a> describes the files of the CMSIS-CORE in detail and explains how to adapt template files provided by ARM to silicon vendor devices.</li>
+<li><a class="el" href="_c_o_r_e__m_i_s_r_a__exceptions_pg.html">MISRA-C:2004 Compliance Exceptions</a> describes the violations to the MISRA standard.</li>
+<li><a href="Modules.html"><b>Reference</b> </a> describe the features and functions of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> in detail.</li>
+<li><a href="Annotated.html"><b>Data</b> <b>Structures</b> </a> describe the data structures of the <a class="el" href="device_h_pg.html">Device Header File &lt;device.h&gt;</a> in detail.</li>
+</ul>
+<hr/>
+<h2>CMSIS-CORE in ARM::CMSIS Pack</h2>
+<p>Files relevant to CMSIS-CORE are present in the following <b>ARM::CMSIS</b> directories: </p>
+<table class="doxtable">
+<tr>
+<th>File/Folder </th><th>Content </th></tr>
+<tr>
+<td><b>CMSIS\Documentation\Core</b> </td><td>This documentation </td></tr>
+<tr>
+<td><b>CMSIS\Include</b> </td><td>CMSIS-CORE header files (for example core_cm3.h, core_cmInstr.h, etc.) </td></tr>
+<tr>
+<td><b>Device</b> </td><td><a class="el" href="_using__a_r_m_pg.html">ARM reference implementations</a> of Cortex-M devices </td></tr>
+<tr>
+<td><b>Device\_Template_Vendor</b> </td><td><a class="el" href="_templates_pg.html">Template Files</a> for extension by silicon vendors </td></tr>
+</table>
+<hr/>
+<h1><a class="anchor" id="ref_man_sec"></a>
+Cortex-M Reference Manuals</h1>
+<p>The Cortex-M Reference Manuals are generic user guides for devices that implement the various ARM Cortex-M processors. These manuals contain the programmers model and detailed information about the core peripherals.</p>
+<ul>
+<li><a href="http://infocenter.arm.com/help/topic/com.arm.doc.dui0497a/DUI0497A_cortex_m0_r0p0_generic_ug.pdf" target="_blank"><b>Cortex-M0 Devices Generic User Guide</b></a></li>
+<li><a href="http://infocenter.arm.com/help/topic/com.arm.doc.dui0662b/DUI0662B_cortex_m0p_r0p1_dgug.pdf" target="_blank"><b>Cortex-M0+ Devices Generic User Guide</b></a></li>
+<li><a href="http://infocenter.arm.com/help/topic/com.arm.doc.dui0552a/DUI0552A_cortex_m3_dgug.pdf" target="_blank"><b>Cortex-M3 Devices Generic User Guide</b></a></li>
+<li><a href="http://infocenter.arm.com/help/topic/com.arm.doc.dui0553a/DUI0553A_cortex_m4_dgug.pdf" target="_blank"><b>Cortex-M4 Devices Generic User Guide</b></a></li>
+<li><a href="http://infocenter.arm.com/help/topic/com.arm.doc.dui0646a/DUI0646A_cortex_m7_dgug.pdf" target="_blank"><b>Cortex-M7 Devices Generic User Guide</b></a></li>
+</ul>
+<hr/>
+<h1><a class="anchor" id="tested_tools_sec"></a>
+Tested and Verified Toolchains</h1>
+<p>The CMSIS-CORE <a class="el" href="_templates_pg.html">Template Files</a> supplied by ARM have been tested and verified with the following toolchains:</p>
+<ul>
+<li>ARM: MDK-ARM Version 5.16</li>
+<li>GNU: GNU Tools ARM Embedded 4.9 2015.q2</li>
+<li>IAR: IAR Embedded Workbench Kickstart Edition V6.10</li>
+</ul>
+<hr/>
+ </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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f.grep(f.timers,function(b){return a===b.elem}).length});var cw=/^t(?:able|d|h)$/i,cx=/^(?:body|html)$/i;"getBoundingClientRect"in c.documentElement?f.fn.offset=function(a){var b=this[0],c;if(a)return this.each(function(b){f.offset.setOffset(this,a,b)});if(!b||!b.ownerDocument)return null;if(b===b.ownerDocument.body)return f.offset.bodyOffset(b);try{c=b.getBoundingClientRect()}catch(d){}var e=b.ownerDocument,g=e.documentElement;if(!c||!f.contains(g,b))return c?{top:c.top,left:c.left}:{top:0,left:0};var h=e.body,i=cy(e),j=g.clientTop||h.clientTop||0,k=g.clientLeft||h.clientLeft||0,l=i.pageYOffset||f.support.boxModel&&g.scrollTop||h.scrollTop,m=i.pageXOffset||f.support.boxModel&&g.scrollLeft||h.scrollLeft,n=c.top+l-j,o=c.left+m-k;return{top:n,left:o}}:f.fn.offset=function(a){var b=this[0];if(a)return this.each(function(b){f.offset.setOffset(this,a,b)});if(!b||!b.ownerDocument)return null;if(b===b.ownerDocument.body)return f.offset.bodyOffset(b);var c,d=b.offsetParent,e=b,g=b.ownerDocument,h=g.documentElement,i=g.body,j=g.defaultView,k=j?j.getComputedStyle(b,null):b.currentStyle,l=b.offsetTop,m=b.offsetLeft;while((b=b.parentNode)&&b!==i&&b!==h){if(f.support.fixedPosition&&k.position==="fixed")break;c=j?j.getComputedStyle(b,null):b.currentStyle,l-=b.scrollTop,m-=b.scrollLeft,b===d&&(l+=b.offsetTop,m+=b.offsetLeft,f.support.doesNotAddBorder&&(!f.support.doesAddBorderForTableAndCells||!cw.test(b.nodeName))&&(l+=parseFloat(c.borderTopWidth)||0,m+=parseFloat(c.borderLeftWidth)||0),e=d,d=b.offsetParent),f.support.subtractsBorderForOverflowNotVisible&&c.overflow!=="visible"&&(l+=parseFloat(c.borderTopWidth)||0,m+=parseFloat(c.borderLeftWidth)||0),k=c}if(k.position==="relative"||k.position==="static")l+=i.offsetTop,m+=i.offsetLeft;f.support.fixedPosition&&k.position==="fixed"&&(l+=Math.max(h.scrollTop,i.scrollTop),m+=Math.max(h.scrollLeft,i.scrollLeft));return{top:l,left:m}},f.offset={bodyOffset:function(a){var b=a.offsetTop,c=a.offsetLeft;f.support.doesNotIncludeMarginInBodyOffset&&(b+=parseFloat(f.css(a,"marginTop"))||0,c+=parseFloat(f.css(a,"marginLeft"))||0);return{top:b,left:c}},setOffset:function(a,b,c){var d=f.css(a,"position");d==="static"&&(a.style.position="relative");var e=f(a),g=e.offset(),h=f.css(a,"top"),i=f.css(a,"left"),j=(d==="absolute"||d==="fixed")&&f.inArray("auto",[h,i])>-1,k={},l={},m,n;j?(l=e.position(),m=l.top,n=l.left):(m=parseFloat(h)||0,n=parseFloat(i)||0),f.isFunction(b)&&(b=b.call(a,c,g)),b.top!=null&&(k.top=b.top-g.top+m),b.left!=null&&(k.left=b.left-g.left+n),"using"in b?b.using.call(a,k):e.css(k)}},f.fn.extend({position:function(){if(!this[0])return null;var a=this[0],b=this.offsetParent(),c=this.offset(),d=cx.test(b[0].nodeName)?{top:0,left:0}:b.offset();c.top-=parseFloat(f.css(a,"marginTop"))||0,c.left-=parseFloat(f.css(a,"marginLeft"))||0,d.top+=parseFloat(f.css(b[0],"borderTopWidth"))||0,d.left+=parseFloat(f.css(b[0],"borderLeftWidth"))||0;return{top:c.top-d.top,left:c.left-d.left}},offsetParent:function(){return this.map(function(){var a=this.offsetParent||c.body;while(a&&!cx.test(a.nodeName)&&f.css(a,"position")==="static")a=a.offsetParent;return a})}}),f.each(["Left","Top"],function(a,c){var d="scroll"+c;f.fn[d]=function(c){var e,g;if(c===b){e=this[0];if(!e)return null;g=cy(e);return g?"pageXOffset"in g?g[a?"pageYOffset":"pageXOffset"]:f.support.boxModel&&g.document.documentElement[d]||g.document.body[d]:e[d]}return this.each(function(){g=cy(this),g?g.scrollTo(a?f(g).scrollLeft():c,a?c:f(g).scrollTop()):this[d]=c})}}),f.each(["Height","Width"],function(a,c){var d=c.toLowerCase();f.fn["inner"+c]=function(){var a=this[0];return a?a.style?parseFloat(f.css(a,d,"padding")):this[d]():null},f.fn["outer"+c]=function(a){var b=this[0];return b?b.style?parseFloat(f.css(b,d,a?"margin":"border")):this[d]():null},f.fn[d]=function(a){var e=this[0];if(!e)return a==null?null:this;if(f.isFunction(a))return this.each(function(b){var c=f(this);c[d](a.call(this,b,c[d]()))});if(f.isWindow(e)){var g=e.document.documentElement["client"+c],h=e.document.body;return e.document.compatMode==="CSS1Compat"&&g||h&&h["client"+c]||g}if(e.nodeType===9)return Math.max(e.documentElement["client"+c],e.body["scroll"+c],e.documentElement["scroll"+c],e.body["offset"+c],e.documentElement["offset"+c]);if(a===b){var i=f.css(e,d),j=parseFloat(i);return f.isNumeric(j)?j:i}return this.css(d,typeof a=="string"?a:a+"px")}}),a.jQuery=a.$=f,typeof define=="function"&&define.amd&&define.amd.jQuery&&define("jquery",[],function(){return f})})(window);
+/*!
+ * jQuery UI 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI
+ */
+(function(a,b){function d(b){return!a(b).parents().andSelf().filter(function(){return a.curCSS(this,"visibility")==="hidden"||a.expr.filters.hidden(this)}).length}function c(b,c){var e=b.nodeName.toLowerCase();if("area"===e){var f=b.parentNode,g=f.name,h;if(!b.href||!g||f.nodeName.toLowerCase()!=="map")return!1;h=a("img[usemap=#"+g+"]")[0];return!!h&&d(h)}return(/input|select|textarea|button|object/.test(e)?!b.disabled:"a"==e?b.href||c:c)&&d(b)}a.ui=a.ui||{};a.ui.version||(a.extend(a.ui,{version:"1.8.18",keyCode:{ALT:18,BACKSPACE:8,CAPS_LOCK:20,COMMA:188,COMMAND:91,COMMAND_LEFT:91,COMMAND_RIGHT:93,CONTROL:17,DELETE:46,DOWN:40,END:35,ENTER:13,ESCAPE:27,HOME:36,INSERT:45,LEFT:37,MENU:93,NUMPAD_ADD:107,NUMPAD_DECIMAL:110,NUMPAD_DIVIDE:111,NUMPAD_ENTER:108,NUMPAD_MULTIPLY:106,NUMPAD_SUBTRACT:109,PAGE_DOWN:34,PAGE_UP:33,PERIOD:190,RIGHT:39,SHIFT:16,SPACE:32,TAB:9,UP:38,WINDOWS:91}}),a.fn.extend({propAttr:a.fn.prop||a.fn.attr,_focus:a.fn.focus,focus:function(b,c){return typeof b=="number"?this.each(function(){var d=this;setTimeout(function(){a(d).focus(),c&&c.call(d)},b)}):this._focus.apply(this,arguments)},scrollParent:function(){var b;a.browser.msie&&/(static|relative)/.test(this.css("position"))||/absolute/.test(this.css("position"))?b=this.parents().filter(function(){return/(relative|absolute|fixed)/.test(a.curCSS(this,"position",1))&&/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0):b=this.parents().filter(function(){return/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0);return/fixed/.test(this.css("position"))||!b.length?a(document):b},zIndex:function(c){if(c!==b)return this.css("zIndex",c);if(this.length){var d=a(this[0]),e,f;while(d.length&&d[0]!==document){e=d.css("position");if(e==="absolute"||e==="relative"||e==="fixed"){f=parseInt(d.css("zIndex"),10);if(!isNaN(f)&&f!==0)return f}d=d.parent()}}return 0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(a){a.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}}),a.each(["Width","Height"],function(c,d){function h(b,c,d,f){a.each(e,function(){c-=parseFloat(a.curCSS(b,"padding"+this,!0))||0,d&&(c-=parseFloat(a.curCSS(b,"border"+this+"Width",!0))||0),f&&(c-=parseFloat(a.curCSS(b,"margin"+this,!0))||0)});return c}var e=d==="Width"?["Left","Right"]:["Top","Bottom"],f=d.toLowerCase(),g={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};a.fn["inner"+d]=function(c){if(c===b)return g["inner"+d].call(this);return this.each(function(){a(this).css(f,h(this,c)+"px")})},a.fn["outer"+d]=function(b,c){if(typeof b!="number")return g["outer"+d].call(this,b);return this.each(function(){a(this).css(f,h(this,b,!0,c)+"px")})}}),a.extend(a.expr[":"],{data:function(b,c,d){return!!a.data(b,d[3])},focusable:function(b){return c(b,!isNaN(a.attr(b,"tabindex")))},tabbable:function(b){var d=a.attr(b,"tabindex"),e=isNaN(d);return(e||d>=0)&&c(b,!e)}}),a(function(){var b=document.body,c=b.appendChild(c=document.createElement("div"));c.offsetHeight,a.extend(c.style,{minHeight:"100px",height:"auto",padding:0,borderWidth:0}),a.support.minHeight=c.offsetHeight===100,a.support.selectstart="onselectstart"in c,b.removeChild(c).style.display="none"}),a.extend(a.ui,{plugin:{add:function(b,c,d){var e=a.ui[b].prototype;for(var f in d)e.plugins[f]=e.plugins[f]||[],e.plugins[f].push([c,d[f]])},call:function(a,b,c){var d=a.plugins[b];if(!!d&&!!a.element[0].parentNode)for(var e=0;e<d.length;e++)a.options[d[e][0]]&&d[e][1].apply(a.element,c)}},contains:function(a,b){return document.compareDocumentPosition?a.compareDocumentPosition(b)&16:a!==b&&a.contains(b)},hasScroll:function(b,c){if(a(b).css("overflow")==="hidden")return!1;var d=c&&c==="left"?"scrollLeft":"scrollTop",e=!1;if(b[d]>0)return!0;b[d]=1,e=b[d]>0,b[d]=0;return e},isOverAxis:function(a,b,c){return a>b&&a<b+c},isOver:function(b,c,d,e,f,g){return a.ui.isOverAxis(b,d,f)&&a.ui.isOverAxis(c,e,g)}}))})(jQuery);
+/*!
+ * jQuery UI Widget 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Widget
+ */
+(function(a,b){if(a.cleanData){var c=a.cleanData;a.cleanData=function(b){for(var d=0,e;(e=b[d])!=null;d++)try{a(e).triggerHandler("remove")}catch(f){}c(b)}}else{var d=a.fn.remove;a.fn.remove=function(b,c){return this.each(function(){c||(!b||a.filter(b,[this]).length)&&a("*",this).add([this]).each(function(){try{a(this).triggerHandler("remove")}catch(b){}});return d.call(a(this),b,c)})}}a.widget=function(b,c,d){var e=b.split(".")[0],f;b=b.split(".")[1],f=e+"-"+b,d||(d=c,c=a.Widget),a.expr[":"][f]=function(c){return!!a.data(c,b)},a[e]=a[e]||{},a[e][b]=function(a,b){arguments.length&&this._createWidget(a,b)};var g=new c;g.options=a.extend(!0,{},g.options),a[e][b].prototype=a.extend(!0,g,{namespace:e,widgetName:b,widgetEventPrefix:a[e][b].prototype.widgetEventPrefix||b,widgetBaseClass:f},d),a.widget.bridge(b,a[e][b])},a.widget.bridge=function(c,d){a.fn[c]=function(e){var f=typeof e=="string",g=Array.prototype.slice.call(arguments,1),h=this;e=!f&&g.length?a.extend.apply(null,[!0,e].concat(g)):e;if(f&&e.charAt(0)==="_")return h;f?this.each(function(){var d=a.data(this,c),f=d&&a.isFunction(d[e])?d[e].apply(d,g):d;if(f!==d&&f!==b){h=f;return!1}}):this.each(function(){var b=a.data(this,c);b?b.option(e||{})._init():a.data(this,c,new d(e,this))});return h}},a.Widget=function(a,b){arguments.length&&this._createWidget(a,b)},a.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:!1},_createWidget:function(b,c){a.data(c,this.widgetName,this),this.element=a(c),this.options=a.extend(!0,{},this.options,this._getCreateOptions(),b);var d=this;this.element.bind("remove."+this.widgetName,function(){d.destroy()}),this._create(),this._trigger("create"),this._init()},_getCreateOptions:function(){return a.metadata&&a.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName),this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled "+"ui-state-disabled")},widget:function(){return this.element},option:function(c,d){var e=c;if(arguments.length===0)return a.extend({},this.options);if(typeof c=="string"){if(d===b)return this.options[c];e={},e[c]=d}this._setOptions(e);return this},_setOptions:function(b){var c=this;a.each(b,function(a,b){c._setOption(a,b)});return this},_setOption:function(a,b){this.options[a]=b,a==="disabled"&&this.widget()[b?"addClass":"removeClass"](this.widgetBaseClass+"-disabled"+" "+"ui-state-disabled").attr("aria-disabled",b);return this},enable:function(){return this._setOption("disabled",!1)},disable:function(){return this._setOption("disabled",!0)},_trigger:function(b,c,d){var e,f,g=this.options[b];d=d||{},c=a.Event(c),c.type=(b===this.widgetEventPrefix?b:this.widgetEventPrefix+b).toLowerCase(),c.target=this.element[0],f=c.originalEvent;if(f)for(e in f)e in c||(c[e]=f[e]);this.element.trigger(c,d);return!(a.isFunction(g)&&g.call(this.element[0],c,d)===!1||c.isDefaultPrevented())}}})(jQuery);
+/*!
+ * jQuery UI Mouse 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Mouse
+ *
+ * Depends:
+ *	jquery.ui.widget.js
+ */
+(function(a,b){var c=!1;a(document).mouseup(function(a){c=!1}),a.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var b=this;this.element.bind("mousedown."+this.widgetName,function(a){return b._mouseDown(a)}).bind("click."+this.widgetName,function(c){if(!0===a.data(c.target,b.widgetName+".preventClickEvent")){a.removeData(c.target,b.widgetName+".preventClickEvent"),c.stopImmediatePropagation();return!1}}),this.started=!1},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(b){if(!c){this._mouseStarted&&this._mouseUp(b),this._mouseDownEvent=b;var d=this,e=b.which==1,f=typeof this.options.cancel=="string"&&b.target.nodeName?a(b.target).closest(this.options.cancel).length:!1;if(!e||f||!this._mouseCapture(b))return!0;this.mouseDelayMet=!this.options.delay,this.mouseDelayMet||(this._mouseDelayTimer=setTimeout(function(){d.mouseDelayMet=!0},this.options.delay));if(this._mouseDistanceMet(b)&&this._mouseDelayMet(b)){this._mouseStarted=this._mouseStart(b)!==!1;if(!this._mouseStarted){b.preventDefault();return!0}}!0===a.data(b.target,this.widgetName+".preventClickEvent")&&a.removeData(b.target,this.widgetName+".preventClickEvent"),this._mouseMoveDelegate=function(a){return d._mouseMove(a)},this._mouseUpDelegate=function(a){return d._mouseUp(a)},a(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate),b.preventDefault(),c=!0;return!0}},_mouseMove:function(b){if(a.browser.msie&&!(document.documentMode>=9)&&!b.button)return this._mouseUp(b);if(this._mouseStarted){this._mouseDrag(b);return b.preventDefault()}this._mouseDistanceMet(b)&&this._mouseDelayMet(b)&&(this._mouseStarted=this._mouseStart(this._mouseDownEvent,b)!==!1,this._mouseStarted?this._mouseDrag(b):this._mouseUp(b));return!this._mouseStarted},_mouseUp:function(b){a(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate),this._mouseStarted&&(this._mouseStarted=!1,b.target==this._mouseDownEvent.target&&a.data(b.target,this.widgetName+".preventClickEvent",!0),this._mouseStop(b));return!1},_mouseDistanceMet:function(a){return Math.max(Math.abs(this._mouseDownEvent.pageX-a.pageX),Math.abs(this._mouseDownEvent.pageY-a.pageY))>=this.options.distance},_mouseDelayMet:function(a){return this.mouseDelayMet},_mouseStart:function(a){},_mouseDrag:function(a){},_mouseStop:function(a){},_mouseCapture:function(a){return!0}})})(jQuery);
+/*
+ * jQuery UI Resizable 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Resizables
+ *
+ * Depends:
+ *	jquery.ui.core.js
+ *	jquery.ui.mouse.js
+ *	jquery.ui.widget.js
+ */
+(function(a,b){a.widget("ui.resizable",a.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:!1,animate:!1,animateDuration:"slow",animateEasing:"swing",aspectRatio:!1,autoHide:!1,containment:!1,ghost:!1,grid:!1,handles:"e,s,se",helper:!1,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1e3},_create:function(){var b=this,c=this.options;this.element.addClass("ui-resizable"),a.extend(this,{_aspectRatio:!!c.aspectRatio,aspectRatio:c.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:c.helper||c.ghost||c.animate?c.helper||"ui-resizable-helper":null}),this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)&&(this.element.wrap(a('<div class="ui-wrapper" style="overflow: hidden;"></div>').css({position:this.element.css("position"),width:this.element.outerWidth(),height:this.element.outerHeight(),top:this.element.css("top"),left:this.element.css("left")})),this.element=this.element.parent().data("resizable",this.element.data("resizable")),this.elementIsWrapper=!0,this.element.css({marginLeft:this.originalElement.css("marginLeft"),marginTop:this.originalElement.css("marginTop"),marginRight:this.originalElement.css("marginRight"),marginBottom:this.originalElement.css("marginBottom")}),this.originalElement.css({marginLeft:0,marginTop:0,marginRight:0,marginBottom:0}),this.originalResizeStyle=this.originalElement.css("resize"),this.originalElement.css("resize","none"),this._proportionallyResizeElements.push(this.originalElement.css({position:"static",zoom:1,display:"block"})),this.originalElement.css({margin:this.originalElement.css("margin")}),this._proportionallyResize()),this.handles=c.handles||(a(".ui-resizable-handle",this.element).length?{n:".ui-resizable-n",e:".ui-resizable-e",s:".ui-resizable-s",w:".ui-resizable-w",se:".ui-resizable-se",sw:".ui-resizable-sw",ne:".ui-resizable-ne",nw:".ui-resizable-nw"}:"e,s,se");if(this.handles.constructor==String){this.handles=="all"&&(this.handles="n,e,s,w,se,sw,ne,nw");var d=this.handles.split(",");this.handles={};for(var e=0;e<d.length;e++){var f=a.trim(d[e]),g="ui-resizable-"+f,h=a('<div class="ui-resizable-handle '+g+'"></div>');/sw|se|ne|nw/.test(f)&&h.css({zIndex:++c.zIndex}),"se"==f&&h.addClass("ui-icon ui-icon-gripsmall-diagonal-se"),this.handles[f]=".ui-resizable-"+f,this.element.append(h)}}this._renderAxis=function(b){b=b||this.element;for(var c in this.handles){this.handles[c].constructor==String&&(this.handles[c]=a(this.handles[c],this.element).show());if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var d=a(this.handles[c],this.element),e=0;e=/sw|ne|nw|se|n|s/.test(c)?d.outerHeight():d.outerWidth();var f=["padding",/ne|nw|n/.test(c)?"Top":/se|sw|s/.test(c)?"Bottom":/^e$/.test(c)?"Right":"Left"].join("");b.css(f,e),this._proportionallyResize()}if(!a(this.handles[c]).length)continue}},this._renderAxis(this.element),this._handles=a(".ui-resizable-handle",this.element).disableSelection(),this._handles.mouseover(function(){if(!b.resizing){if(this.className)var a=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i);b.axis=a&&a[1]?a[1]:"se"}}),c.autoHide&&(this._handles.hide(),a(this.element).addClass("ui-resizable-autohide").hover(function(){c.disabled||(a(this).removeClass("ui-resizable-autohide"),b._handles.show())},function(){c.disabled||b.resizing||(a(this).addClass("ui-resizable-autohide"),b._handles.hide())})),this._mouseInit()},destroy:function(){this._mouseDestroy();var b=function(b){a(b).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){b(this.element);var c=this.element;c.after(this.originalElement.css({position:c.css("position"),width:c.outerWidth(),height:c.outerHeight(),top:c.css("top"),left:c.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle),b(this.originalElement);return this},_mouseCapture:function(b){var c=!1;for(var d in this.handles)a(this.handles[d])[0]==b.target&&(c=!0);return!this.options.disabled&&c},_mouseStart:function(b){var d=this.options,e=this.element.position(),f=this.element;this.resizing=!0,this.documentScroll={top:a(document).scrollTop(),left:a(document).scrollLeft()},(f.is(".ui-draggable")||/absolute/.test(f.css("position")))&&f.css({position:"absolute",top:e.top,left:e.left}),this._renderProxy();var g=c(this.helper.css("left")),h=c(this.helper.css("top"));d.containment&&(g+=a(d.containment).scrollLeft()||0,h+=a(d.containment).scrollTop()||0),this.offset=this.helper.offset(),this.position={left:g,top:h},this.size=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalSize=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalPosition={left:g,top:h},this.sizeDiff={width:f.outerWidth()-f.width(),height:f.outerHeight()-f.height()},this.originalMousePosition={left:b.pageX,top:b.pageY},this.aspectRatio=typeof d.aspectRatio=="number"?d.aspectRatio:this.originalSize.width/this.originalSize.height||1;var i=a(".ui-resizable-"+this.axis).css("cursor");a("body").css("cursor",i=="auto"?this.axis+"-resize":i),f.addClass("ui-resizable-resizing"),this._propagate("start",b);return!0},_mouseDrag:function(b){var c=this.helper,d=this.options,e={},f=this,g=this.originalMousePosition,h=this.axis,i=b.pageX-g.left||0,j=b.pageY-g.top||0,k=this._change[h];if(!k)return!1;var l=k.apply(this,[b,i,j]),m=a.browser.msie&&a.browser.version<7,n=this.sizeDiff;this._updateVirtualBoundaries(b.shiftKey);if(this._aspectRatio||b.shiftKey)l=this._updateRatio(l,b);l=this._respectSize(l,b),this._propagate("resize",b),c.css({top:this.position.top+"px",left:this.position.left+"px",width:this.size.width+"px",height:this.size.height+"px"}),!this._helper&&this._proportionallyResizeElements.length&&this._proportionallyResize(),this._updateCache(l),this._trigger("resize",b,this.ui());return!1},_mouseStop:function(b){this.resizing=!1;var c=this.options,d=this;if(this._helper){var e=this._proportionallyResizeElements,f=e.length&&/textarea/i.test(e[0].nodeName),g=f&&a.ui.hasScroll(e[0],"left")?0:d.sizeDiff.height,h=f?0:d.sizeDiff.width,i={width:d.helper.width()-h,height:d.helper.height()-g},j=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,k=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;c.animate||this.element.css(a.extend(i,{top:k,left:j})),d.helper.height(d.size.height),d.helper.width(d.size.width),this._helper&&!c.animate&&this._proportionallyResize()}a("body").css("cursor","auto"),this.element.removeClass("ui-resizable-resizing"),this._propagate("stop",b),this._helper&&this.helper.remove();return!1},_updateVirtualBoundaries:function(a){var b=this.options,c,e,f,g,h;h={minWidth:d(b.minWidth)?b.minWidth:0,maxWidth:d(b.maxWidth)?b.maxWidth:Infinity,minHeight:d(b.minHeight)?b.minHeight:0,maxHeight:d(b.maxHeight)?b.maxHeight:Infinity};if(this._aspectRatio||a)c=h.minHeight*this.aspectRatio,f=h.minWidth/this.aspectRatio,e=h.maxHeight*this.aspectRatio,g=h.maxWidth/this.aspectRatio,c>h.minWidth&&(h.minWidth=c),f>h.minHeight&&(h.minHeight=f),e<h.maxWidth&&(h.maxWidth=e),g<h.maxHeight&&(h.maxHeight=g);this._vBoundaries=h},_updateCache:function(a){var b=this.options;this.offset=this.helper.offset(),d(a.left)&&(this.position.left=a.left),d(a.top)&&(this.position.top=a.top),d(a.height)&&(this.size.height=a.height),d(a.width)&&(this.size.width=a.width)},_updateRatio:function(a,b){var c=this.options,e=this.position,f=this.size,g=this.axis;d(a.height)?a.width=a.height*this.aspectRatio:d(a.width)&&(a.height=a.width/this.aspectRatio),g=="sw"&&(a.left=e.left+(f.width-a.width),a.top=null),g=="nw"&&(a.top=e.top+(f.height-a.height),a.left=e.left+(f.width-a.width));return a},_respectSize:function(a,b){var c=this.helper,e=this._vBoundaries,f=this._aspectRatio||b.shiftKey,g=this.axis,h=d(a.width)&&e.maxWidth&&e.maxWidth<a.width,i=d(a.height)&&e.maxHeight&&e.maxHeight<a.height,j=d(a.width)&&e.minWidth&&e.minWidth>a.width,k=d(a.height)&&e.minHeight&&e.minHeight>a.height;j&&(a.width=e.minWidth),k&&(a.height=e.minHeight),h&&(a.width=e.maxWidth),i&&(a.height=e.maxHeight);var l=this.originalPosition.left+this.originalSize.width,m=this.position.top+this.size.height,n=/sw|nw|w/.test(g),o=/nw|ne|n/.test(g);j&&n&&(a.left=l-e.minWidth),h&&n&&(a.left=l-e.maxWidth),k&&o&&(a.top=m-e.minHeight),i&&o&&(a.top=m-e.maxHeight);var p=!a.width&&!a.height;p&&!a.left&&a.top?a.top=null:p&&!a.top&&a.left&&(a.left=null);return a},_proportionallyResize:function(){var b=this.options;if(!!this._proportionallyResizeElements.length){var c=this.helper||this.element;for(var d=0;d<this._proportionallyResizeElements.length;d++){var e=this._proportionallyResizeElements[d];if(!this.borderDif){var f=[e.css("borderTopWidth"),e.css("borderRightWidth"),e.css("borderBottomWidth"),e.css("borderLeftWidth")],g=[e.css("paddingTop"),e.css("paddingRight"),e.css("paddingBottom"),e.css("paddingLeft")];this.borderDif=a.map(f,function(a,b){var c=parseInt(a,10)||0,d=parseInt(g[b],10)||0;return c+d})}if(a.browser.msie&&(!!a(c).is(":hidden")||!!a(c).parents(":hidden").length))continue;e.css({height:c.height()-this.borderDif[0]-this.borderDif[2]||0,width:c.width()-this.borderDif[1]-this.borderDif[3]||0})}}},_renderProxy:function(){var b=this.element,c=this.options;this.elementOffset=b.offset();if(this._helper){this.helper=this.helper||a('<div style="overflow:hidden;"></div>');var d=a.browser.msie&&a.browser.version<7,e=d?1:0,f=d?2:-1;this.helper.addClass(this._helper).css({width:this.element.outerWidth()+f,height:this.element.outerHeight()+f,position:"absolute",left:this.elementOffset.left-e+"px",top:this.elementOffset.top-e+"px",zIndex:++c.zIndex}),this.helper.appendTo("body").disableSelection()}else this.helper=this.element},_change:{e:function(a,b,c){return{width:this.originalSize.width+b}},w:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{left:f.left+b,width:e.width-b}},n:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{top:f.top+c,height:e.height-c}},s:function(a,b,c){return{height:this.originalSize.height+c}},se:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},sw:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.w.apply(this,[b,c,d]))},ne:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},nw:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.w.apply(this,[b,c,d]))}},_propagate:function(b,c){a.ui.plugin.call(this,b,[c,this.ui()]),b!="resize"&&this._trigger(b,c,this.ui())},plugins:{},ui:function(){return{originalElement:this.originalElement,element:this.element,helper:this.helper,position:this.position,size:this.size,originalSize:this.originalSize,originalPosition:this.originalPosition}}}),a.extend(a.ui.resizable,{version:"1.8.18"}),a.ui.plugin.add("resizable","alsoResize",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=function(b){a(b).each(function(){var b=a(this);b.data("resizable-alsoresize",{width:parseInt(b.width(),10),height:parseInt(b.height(),10),left:parseInt(b.css("left"),10),top:parseInt(b.css("top"),10)})})};typeof e.alsoResize=="object"&&!e.alsoResize.parentNode?e.alsoResize.length?(e.alsoResize=e.alsoResize[0],f(e.alsoResize)):a.each(e.alsoResize,function(a){f(a)}):f(e.alsoResize)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.originalSize,g=d.originalPosition,h={height:d.size.height-f.height||0,width:d.size.width-f.width||0,top:d.position.top-g.top||0,left:d.position.left-g.left||0},i=function(b,d){a(b).each(function(){var b=a(this),e=a(this).data("resizable-alsoresize"),f={},g=d&&d.length?d:b.parents(c.originalElement[0]).length?["width","height"]:["width","height","top","left"];a.each(g,function(a,b){var c=(e[b]||0)+(h[b]||0);c&&c>=0&&(f[b]=c||null)}),b.css(f)})};typeof e.alsoResize=="object"&&!e.alsoResize.nodeType?a.each(e.alsoResize,function(a,b){i(a,b)}):i(e.alsoResize)},stop:function(b,c){a(this).removeData("resizable-alsoresize")}}),a.ui.plugin.add("resizable","animate",{stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d._proportionallyResizeElements,g=f.length&&/textarea/i.test(f[0].nodeName),h=g&&a.ui.hasScroll(f[0],"left")?0:d.sizeDiff.height,i=g?0:d.sizeDiff.width,j={width:d.size.width-i,height:d.size.height-h},k=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,l=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;d.element.animate(a.extend(j,l&&k?{top:l,left:k}:{}),{duration:e.animateDuration,easing:e.animateEasing,step:function(){var c={width:parseInt(d.element.css("width"),10),height:parseInt(d.element.css("height"),10),top:parseInt(d.element.css("top"),10),left:parseInt(d.element.css("left"),10)};f&&f.length&&a(f[0]).css({width:c.width,height:c.height}),d._updateCache(c),d._propagate("resize",b)}})}}),a.ui.plugin.add("resizable","containment",{start:function(b,d){var e=a(this).data("resizable"),f=e.options,g=e.element,h=f.containment,i=h instanceof a?h.get(0):/parent/.test(h)?g.parent().get(0):h;if(!!i){e.containerElement=a(i);if(/document/.test(h)||h==document)e.containerOffset={left:0,top:0},e.containerPosition={left:0,top:0},e.parentData={element:a(document),left:0,top:0,width:a(document).width(),height:a(document).height()||document.body.parentNode.scrollHeight};else{var j=a(i),k=[];a(["Top","Right","Left","Bottom"]).each(function(a,b){k[a]=c(j.css("padding"+b))}),e.containerOffset=j.offset(),e.containerPosition=j.position(),e.containerSize={height:j.innerHeight()-k[3],width:j.innerWidth()-k[1]};var l=e.containerOffset,m=e.containerSize.height,n=e.containerSize.width,o=a.ui.hasScroll(i,"left")?i.scrollWidth:n,p=a.ui.hasScroll(i)?i.scrollHeight:m;e.parentData={element:i,left:l.left,top:l.top,width:o,height:p}}}},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.containerSize,g=d.containerOffset,h=d.size,i=d.position,j=d._aspectRatio||b.shiftKey,k={top:0,left:0},l=d.containerElement;l[0]!=document&&/static/.test(l.css("position"))&&(k=g),i.left<(d._helper?g.left:0)&&(d.size.width=d.size.width+(d._helper?d.position.left-g.left:d.position.left-k.left),j&&(d.size.height=d.size.width/e.aspectRatio),d.position.left=e.helper?g.left:0),i.top<(d._helper?g.top:0)&&(d.size.height=d.size.height+(d._helper?d.position.top-g.top:d.position.top),j&&(d.size.width=d.size.height*e.aspectRatio),d.position.top=d._helper?g.top:0),d.offset.left=d.parentData.left+d.position.left,d.offset.top=d.parentData.top+d.position.top;var m=Math.abs((d._helper?d.offset.left-k.left:d.offset.left-k.left)+d.sizeDiff.width),n=Math.abs((d._helper?d.offset.top-k.top:d.offset.top-g.top)+d.sizeDiff.height),o=d.containerElement.get(0)==d.element.parent().get(0),p=/relative|absolute/.test(d.containerElement.css("position"));o&&p
+&&(m-=d.parentData.left),m+d.size.width>=d.parentData.width&&(d.size.width=d.parentData.width-m,j&&(d.size.height=d.size.width/d.aspectRatio)),n+d.size.height>=d.parentData.height&&(d.size.height=d.parentData.height-n,j&&(d.size.width=d.size.height*d.aspectRatio))},stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.position,g=d.containerOffset,h=d.containerPosition,i=d.containerElement,j=a(d.helper),k=j.offset(),l=j.outerWidth()-d.sizeDiff.width,m=j.outerHeight()-d.sizeDiff.height;d._helper&&!e.animate&&/relative/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m}),d._helper&&!e.animate&&/static/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m})}}),a.ui.plugin.add("resizable","ghost",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size;d.ghost=d.originalElement.clone(),d.ghost.css({opacity:.25,display:"block",position:"relative",height:f.height,width:f.width,margin:0,left:0,top:0}).addClass("ui-resizable-ghost").addClass(typeof e.ghost=="string"?e.ghost:""),d.ghost.appendTo(d.helper)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.ghost.css({position:"relative",height:d.size.height,width:d.size.width})},stop:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.helper&&d.helper.get(0).removeChild(d.ghost.get(0))}}),a.ui.plugin.add("resizable","grid",{resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size,g=d.originalSize,h=d.originalPosition,i=d.axis,j=e._aspectRatio||b.shiftKey;e.grid=typeof e.grid=="number"?[e.grid,e.grid]:e.grid;var k=Math.round((f.width-g.width)/(e.grid[0]||1))*(e.grid[0]||1),l=Math.round((f.height-g.height)/(e.grid[1]||1))*(e.grid[1]||1);/^(se|s|e)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l):/^(ne)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l):/^(sw)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.left=h.left-k):(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l,d.position.left=h.left-k)}});var c=function(a){return parseInt(a,10)||0},d=function(a){return!isNaN(parseInt(a,10))}})(jQuery);
+/*
+ * jQuery hashchange event - v1.3 - 7/21/2010
+ * http://benalman.com/projects/jquery-hashchange-plugin/
+ * 
+ * Copyright (c) 2010 "Cowboy" Ben Alman
+ * Dual licensed under the MIT and GPL licenses.
+ * http://benalman.com/about/license/
+ */
+(function($,e,b){var c="hashchange",h=document,f,g=$.event.special,i=h.documentMode,d="on"+c in e&&(i===b||i>7);function a(j){j=j||location.href;return"#"+j.replace(/^[^#]*#?(.*)$/,"$1")}$.fn[c]=function(j){return j?this.bind(c,j):this.trigger(c)};$.fn[c].delay=50;g[c]=$.extend(g[c],{setup:function(){if(d){return false}$(f.start)},teardown:function(){if(d){return false}$(f.stop)}});f=(function(){var j={},p,m=a(),k=function(q){return q},l=k,o=k;j.start=function(){p||n()};j.stop=function(){p&&clearTimeout(p);p=b};function n(){var r=a(),q=o(m);if(r!==m){l(m=r,q);$(e).trigger(c)}else{if(q!==m){location.href=location.href.replace(/#.*/,"")+q}}p=setTimeout(n,$.fn[c].delay)}$.browser.msie&&!d&&(function(){var q,r;j.start=function(){if(!q){r=$.fn[c].src;r=r&&r+a();q=$('<iframe tabindex="-1" title="empty"/>').hide().one("load",function(){r||l(a());n()}).attr("src",r||"javascript:0").insertAfter("body")[0].contentWindow;h.onpropertychange=function(){try{if(event.propertyName==="title"){q.document.title=h.title}}catch(s){}}}};j.stop=k;o=function(){return a(q.location.href)};l=function(v,s){var u=q.document,t=$.fn[c].domain;if(v!==s){u.title=h.title;u.open();t&&u.write('<script>document.domain="'+t+'"<\/script>');u.close();q.location.hash=v}}})();return j})()})(jQuery,this);
+/**
+ * jQuery.ScrollTo - Easy element scrolling using jQuery.
+ * Copyright (c) 2007-2009 Ariel Flesler - aflesler(at)gmail(dot)com | http://flesler.blogspot.com
+ * Dual licensed under MIT and GPL.
+ * Date: 5/25/2009
+ * @author Ariel Flesler
+ * @version 1.4.2
+ *
+ * http://flesler.blogspot.com/2007/10/jqueryscrollto.html
+ */
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Reference</title>
+<title>CMSIS-CORE: Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li class="current"><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all modules:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__peripheral__gr.html" target="_self">Peripheral Access</a></td><td class="desc">Describes naming conventions, requirements, and optional features for accessing peripherals</td></tr>
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+<tr id="row_2_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___n_v_i_c__gr.html" target="_self">Interrupts and Exceptions (NVIC)</a></td><td class="desc">Explains how to use interrupts and exceptions and access functions for the Nested Vector Interrupt Controller (NVIC)</td></tr>
+<tr id="row_3_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___core___register__gr.html" target="_self">Core Register Access</a></td><td class="desc">Functions to access the Cortex-M core registers</td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__intrinsic___c_p_u__gr.html" target="_self">Intrinsic Functions for CPU Instructions</a></td><td class="desc">Functions that generate specific Cortex-M CPU Instructions</td></tr>
+<tr id="row_5_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__intrinsic___s_i_m_d__gr.html" target="_self">Intrinsic Functions for SIMD Instructions [only Cortex-M4 and Cortex-M7]</a></td><td class="desc">Access to dedicated SIMD instructions</td></tr>
+<tr id="row_6_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___sys_tick__gr.html" target="_self">Systick Timer (SYSTICK)</a></td><td class="desc">Initialize and start the SysTick timer</td></tr>
+<tr id="row_7_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___i_t_m___debug__gr.html" target="_self">Debug Access</a></td><td class="desc">Debug Access to the Instrumented Trace Macrocell (ITM)</td></tr>
+<tr id="row_8_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__fpu__functions__m7.html" target="_self">FPU Functions (only Cortex-M7)</a></td><td class="desc">Functions that relate to the Floating-Point Arithmetic Unit</td></tr>
+<tr id="row_9_"><td class="entry"><img id="arr_9_" src="ftv2mlastnode.png" alt="\" width="16" height="22" onclick="toggleFolder('9_')"/><a class="el" href="group__cache__functions__m7.html" target="_self">Cache Functions  (only Cortex-M7)</a></td><td class="desc">Functions for Instruction and Data Cache</td></tr>
+<tr id="row_9_0_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___icache__functions__m7.html" target="_self">I-Cache Functions</a></td><td class="desc">Functions for the instruction cache</td></tr>
+<tr id="row_9_1_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___dcache__functions__m7.html" target="_self">D-Cache Functions</a></td><td class="desc">Functions for the data cache</td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
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new file mode 100644
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+    [ "Interrupts and Exceptions (NVIC)", "group___n_v_i_c__gr.html", "group___n_v_i_c__gr" ],
+    [ "Core Register Access", "group___core___register__gr.html", "group___core___register__gr" ],
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+    [ "FPU Functions (only Cortex-M7)", "group__fpu__functions__m7.html", "group__fpu__functions__m7" ],
+    [ "Cache Functions  (only Cortex-M7)", "group__cache__functions__m7.html", "group__cache__functions__m7" ]
+];
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new file mode 100644
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+    [ "Revision History of CMSIS-CORE", "core_revision_history.html", null ],
+    [ "Using CMSIS in Embedded Applications", "_using_pg.html", "_using_pg" ],
+    [ "Template Files", "_templates_pg.html", "_templates_pg" ],
+    [ "MISRA-C:2004 Compliance Exceptions", "_c_o_r_e__m_i_s_r_a__exceptions_pg.html", null ],
+    [ "Register Mapping", "_reg_map_pg.html", null ],
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+function cachedLink()
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+function getScript(scriptName,func,show)
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+  if ($.browser.msie && $.browser.version<=8) { 
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+}
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+function createIndent(o,domNode,node,level)
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+        imgNode.src = node.relpath+"ftv2lastnode.png";
+        domNode.appendChild(imgNode);
+      }
+    } else {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2pnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2node.png";
+        domNode.appendChild(imgNode);
+      }
+    }
+  } else {
+    if (node.isLast) {
+      imgNode.src = node.relpath+"ftv2blank.png";
+    } else {
+      imgNode.src = node.relpath+"ftv2vertline.png";
+    }
+  }
+  imgNode.border = "0";
+}
+
+function newNode(o, po, text, link, childrenData, lastNode)
+{
+  var node = new Object();
+  node.children = Array();
+  node.childrenData = childrenData;
+  node.depth = po.depth + 1;
+  node.relpath = po.relpath;
+  node.isLast = lastNode;
+
+  node.li = document.createElement("li");
+  po.getChildrenUL().appendChild(node.li);
+  node.parentNode = po;
+
+  node.itemDiv = document.createElement("div");
+  node.itemDiv.className = "item";
+
+  node.labelSpan = document.createElement("span");
+  node.labelSpan.className = "label";
+
+  createIndent(o,node.itemDiv,node,0);
+  node.itemDiv.appendChild(node.labelSpan);
+  node.li.appendChild(node.itemDiv);
+
+  var a = document.createElement("a");
+  node.labelSpan.appendChild(a);
+  node.label = document.createTextNode(text);
+  node.expanded = false;
+  a.appendChild(node.label);
+  if (link) {
+    var url;
+    if (link.substring(0,1)=='^') {
+      url = link.substring(1);
+      link = url;
+    } else {
+      url = node.relpath+link;
+    }
+    a.className = stripPath(link.replace('#',':'));
+    if (link.indexOf('#')!=-1) {
+      var aname = '#'+link.split('#')[1];
+      var srcPage = stripPath($(location).attr('pathname'));
+      var targetPage = stripPath(link.split('#')[0]);
+      a.href = srcPage!=targetPage ? url : '#';
+      a.onclick = function(){
+        storeLink(link);
+        if (!$(a).parent().parent().hasClass('selected'))
+        {
+          $('.item').removeClass('selected');
+          $('.item').removeAttr('id');
+          $(a).parent().parent().addClass('selected');
+          $(a).parent().parent().attr('id','selected');
+        }
+        var pos, anchor = $(aname), docContent = $('#doc-content');
+        if (anchor.parent().attr('class')=='memItemLeft') {
+          pos = anchor.parent().position().top;
+        } else if (anchor.position()) {
+          pos = anchor.position().top;
+        }
+        if (pos) {
+          var dist = Math.abs(Math.min(
+                     pos-docContent.offset().top,
+                     docContent[0].scrollHeight-
+                     docContent.height()-docContent.scrollTop()));
+          docContent.animate({
+            scrollTop: pos + docContent.scrollTop() - docContent.offset().top
+          },Math.max(50,Math.min(500,dist)),function(){
+            window.location.replace(aname);
+          });
+        }
+      };
+    } else {
+      a.href = url;
+      a.onclick = function() { storeLink(link); }
+    }
+  } else {
+    if (childrenData != null) 
+    {
+      a.className = "nolink";
+      a.href = "javascript:void(0)";
+      a.onclick = node.expandToggle.onclick;
+    }
+  }
+
+  node.childrenUL = null;
+  node.getChildrenUL = function() {
+    if (!node.childrenUL) {
+      node.childrenUL = document.createElement("ul");
+      node.childrenUL.className = "children_ul";
+      node.childrenUL.style.display = "none";
+      node.li.appendChild(node.childrenUL);
+    }
+    return node.childrenUL;
+  };
+
+  return node;
+}
+
+function showRoot()
+{
+  var headerHeight = $("#top").height();
+  var footerHeight = $("#nav-path").height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  (function (){ // retry until we can scroll to the selected item
+    try {
+      var navtree=$('#nav-tree');
+      navtree.scrollTo('#selected',0,{offset:-windowHeight/2});
+    } catch (err) {
+      setTimeout(arguments.callee, 0);
+    }
+  })();
+}
+
+function expandNode(o, node, imm, showRoot)
+{
+  if (node.childrenData && !node.expanded) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        expandNode(o, node, imm, showRoot);
+      }, showRoot);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      } if (imm || ($.browser.msie && $.browser.version>8)) { 
+        // somehow slideDown jumps to the start of tree for IE9 :-(
+        $(node.getChildrenUL()).show();
+      } else {
+        $(node.getChildrenUL()).slideDown("fast");
+      }
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+    }
+  }
+}
+
+function glowEffect(n,duration)
+{
+  n.addClass('glow').delay(duration).queue(function(next){
+    $(this).removeClass('glow');next();
+  });
+}
+
+function highlightAnchor()
+{
+  var anchor = $($(location).attr('hash'));
+  if (anchor.parent().attr('class')=='memItemLeft'){
+    var rows = $('.memberdecls tr[class$="'+
+               window.location.hash.substring(1)+'"]');
+    glowEffect(rows.children(),300); // member without details
+  } else if (anchor.parents().slice(2).prop('tagName')=='TR') {
+    glowEffect(anchor.parents('div.memitem'),1000); // enum value
+  } else if (anchor.parent().attr('class')=='fieldtype'){
+    glowEffect(anchor.parent().parent(),1000); // struct field
+  } else if (anchor.parent().is(":header")) {
+    glowEffect(anchor.parent(),1000); // section header
+  } else {
+    glowEffect(anchor.next(),1000); // normal member
+  }
+}
+
+function selectAndHighlight(hash,n)
+{
+  var a;
+  if (hash) {
+    var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
+    a=$('.item a[class$="'+link+'"]');
+  }
+  if (a && a.length) {
+    a.parent().parent().addClass('selected');
+    a.parent().parent().attr('id','selected');
+    highlightAnchor();
+  } else if (n) {
+    $(n.itemDiv).addClass('selected');
+    $(n.itemDiv).attr('id','selected');
+  }
+  showRoot();
+}
+
+function showNode(o, node, index, hash)
+{
+  if (node && node.childrenData) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        showNode(o,node,index,hash);
+      },true);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      }
+      $(node.getChildrenUL()).show();
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+      var n = node.children[o.breadcrumbs[index]];
+      if (index+1<o.breadcrumbs.length) {
+        showNode(o,n,index+1,hash);
+      } else {
+        if (typeof(n.childrenData)==='string') {
+          var varName = n.childrenData;
+          getScript(n.relpath+varName,function(){
+            n.childrenData = getData(varName);
+            node.expanded=false;
+            showNode(o,node,index,hash); // retry with child node expanded
+          },true);
+        } else {
+          var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
+          if (rootBase=="index" || rootBase=="pages") {
+            expandNode(o, n, true, true);
+          }
+          selectAndHighlight(hash,n);
+        }
+      }
+    }
+  } else {
+    selectAndHighlight(hash);
+  }
+}
+
+function getNode(o, po)
+{
+  po.childrenVisited = true;
+  var l = po.childrenData.length-1;
+  for (var i in po.childrenData) {
+    var nodeData = po.childrenData[i];
+    po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
+      i==l);
+  }
+}
+
+function gotoNode(o,subIndex,root,hash,relpath)
+{
+  var nti = navTreeSubIndices[subIndex][root+hash];
+  o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
+  if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
+    navTo(o,NAVTREE[0][1],"",relpath);
+    $('.item').removeClass('selected');
+    $('.item').removeAttr('id');
+  }
+  if (o.breadcrumbs) {
+    o.breadcrumbs.unshift(0); // add 0 for root node
+    showNode(o, o.node, 0, hash);
+  }
+}
+
+function navTo(o,root,hash,relpath)
+{
+  var link = cachedLink();
+  if (link) {
+    var parts = link.split('#');
+    root = parts[0];
+    if (parts.length>1) hash = '#'+parts[1];
+    else hash='';
+  }
+  if (root==NAVTREE[0][1]) {
+    $('#nav-sync').css('top','30px');
+  } else {
+    $('#nav-sync').css('top','5px');
+  }
+  if (hash.match(/^#l\d+$/)) {
+    var anchor=$('a[name='+hash.substring(1)+']');
+    glowEffect(anchor.parent(),1000); // line number
+    hash=''; // strip line number anchors
+    //root=root.replace(/_source\./,'.'); // source link to doc link
+  }
+  var url=root+hash;
+  var i=-1;
+  while (NAVTREEINDEX[i+1]<=url) i++;
+  if (navTreeSubIndices[i]) {
+    gotoNode(o,i,root,hash,relpath)
+  } else {
+    getScript(relpath+'navtreeindex'+i,function(){
+      navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
+      if (navTreeSubIndices[i]) {
+        gotoNode(o,i,root,hash,relpath);
+      }
+    },true);
+  }
+}
+
+function showSyncOff(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
+}
+
+function showSyncOn(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_on.png"/ title="'+SYNCONMSG+'">');
+}
+
+function toggleSyncButton(relpath)
+{
+  var navSync = $('#nav-sync');
+  if (navSync.hasClass('sync')) {
+    navSync.removeClass('sync');
+    showSyncOff(navSync,relpath);
+    storeLink(stripPath2($(location).attr('pathname'))+$(location).attr('hash'));
+  } else {
+    navSync.addClass('sync');
+    showSyncOn(navSync,relpath);
+    deleteLink();
+  }
+}
+
+function initNavTree(toroot,relpath)
+{
+  var o = new Object();
+  o.toroot = toroot;
+  o.node = new Object();
+  o.node.li = document.getElementById("nav-tree-contents");
+  o.node.childrenData = NAVTREE;
+  o.node.children = new Array();
+  o.node.childrenUL = document.createElement("ul");
+  o.node.getChildrenUL = function() { return o.node.childrenUL; };
+  o.node.li.appendChild(o.node.childrenUL);
+  o.node.depth = 0;
+  o.node.relpath = relpath;
+  o.node.expanded = false;
+  o.node.isLast = true;
+  o.node.plus_img = document.createElement("img");
+  o.node.plus_img.src = relpath+"ftv2pnode.png";
+  o.node.plus_img.width = 16;
+  o.node.plus_img.height = 22;
+
+  if (localStorageSupported()) {
+    var navSync = $('#nav-sync');
+    if (cachedLink()) {
+      showSyncOff(navSync,relpath);
+      navSync.removeClass('sync');
+    } else {
+      showSyncOn(navSync,relpath);
+    }
+    navSync.click(function(){ toggleSyncButton(relpath); });
+  }
+
+  navTo(o,toroot,window.location.hash,relpath);
+
+  $(window).bind('hashchange', function(){
+     if (window.location.hash && window.location.hash.length>1){
+       var a;
+       if ($(location).attr('hash')){
+         var clslink=stripPath($(location).attr('pathname'))+':'+
+                               $(location).attr('hash').substring(1);
+         a=$('.item a[class$="'+clslink+'"]');
+       }
+       if (a==null || !$(a).parent().parent().hasClass('selected')){
+         $('.item').removeClass('selected');
+         $('.item').removeAttr('id');
+       }
+       var link=stripPath2($(location).attr('pathname'));
+       navTo(o,link,$(location).attr('hash'),relpath);
+     }
+  })
+
+  $(window).load(showRoot);
+}
+
diff --git a/Documentation/Core/html/navtreeindex0.js b/Documentation/Core/html/navtreeindex0.js
new file mode 100644
index 0000000..c87a2ba
--- /dev/null
+++ b/Documentation/Core/html/navtreeindex0.js
@@ -0,0 +1,253 @@
+var NAVTREEINDEX0 =
+{
+"_c_o_r_e__m_i_s_r_a__exceptions_pg.html":[4],
+"_reg_map_pg.html":[5],
+"_templates_pg.html":[3],
+"_templates_pg.html#adapt_template_files_sec":[3,1],
+"_templates_pg.html#template_files_sec":[3,0],
+"_using__a_r_m_pg.html":[2,2],
+"_using__a_r_m_pg.html#Using_ARM_Lib_sec":[2,2,0],
+"_using__c_m_s_i_s.html":[2,0],
+"_using__v_t_o_r_pg.html":[2,1],
+"_using_pg.html":[2],
+"annotated.html":[7],
+"core_revision_history.html":[1],
+"device_h_pg.html":[3,4],
+"device_h_pg.html#core_config_sect":[3,4,1],
+"device_h_pg.html#core_version_sect":[3,4,2],
+"device_h_pg.html#device_access":[3,4,3],
+"device_h_pg.html#device_h_sec":[3,4,4],
+"device_h_pg.html#interrupt_number_sec":[3,4,0],
+"functions.html":[8,0],
+"functions_vars.html":[8,1],
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<div class="contents">
+<div class="textblock">Here is a list of all related documentation pages:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="core_revision_history.html" target="_self">Revision History of CMSIS-CORE</a></td><td class="desc"></td></tr>
+<tr id="row_1_"><td class="entry"><img id="arr_1_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('1_')"/><a class="el" href="_using_pg.html" target="_self">Using CMSIS in Embedded Applications</a></td><td class="desc"></td></tr>
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+<tr id="row_1_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="_using__v_t_o_r_pg.html" target="_self">Using Interrupt Vector Remap</a></td><td class="desc"></td></tr>
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+<tr id="row_2_"><td class="entry"><img id="arr_2_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('2_')"/><a class="el" href="_templates_pg.html" target="_self">Template Files</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="startup_s_pg.html" target="_self">Startup File startup_&lt;device&gt;.s</a></td><td class="desc"></td></tr>
+<tr id="row_2_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="system_c_pg.html" target="_self">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a></td><td class="desc"></td></tr>
+<tr id="row_2_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="device_h_pg.html" target="_self">Device Header File &lt;device.h&gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="_reg_map_pg.html" target="_self">Register Mapping</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
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+  {
+    var date = new Date();
+    date.setTime(date.getTime()+(10*365*24*60*60*1000)); // default expiration is one week
+    expiration = date.toGMTString();
+  }
+  document.cookie = cookie_namespace + "_" + cookie + "=" + val + "; expires=" + expiration+"; path=/";
+}
+ 
+function resizeWidth() 
+{
+  var windowWidth = $(window).width() + "px";
+  var sidenavWidth = $(sidenav).width();
+  content.css({marginLeft:parseInt(sidenavWidth)+6+"px"}); //account for 6px-wide handle-bar
+  writeCookie('width',sidenavWidth, null);
+}
+
+function restoreWidth(navWidth)
+{
+  var windowWidth = $(window).width() + "px";
+  content.css({marginLeft:parseInt(navWidth)+6+"px"});
+  sidenav.css({width:navWidth + "px"});
+}
+
+function resizeHeight() 
+{
+  var headerHeight = header.height();
+  var footerHeight = footer.height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  content.css({height:windowHeight + "px"});
+  navtree.css({height:windowHeight + "px"});
+  sidenav.css({height:windowHeight + "px",top: headerHeight+"px"});
+}
+
+function initResizable()
+{
+  header  = $("#top");
+  sidenav = $("#side-nav");
+  content = $("#doc-content");
+  navtree = $("#nav-tree");
+  footer  = $("#nav-path");
+  $(".side-nav-resizable").resizable({resize: function(e, ui) { resizeWidth(); } });
+  $(window).resize(function() { resizeHeight(); });
+  var width = readCookie('width');
+  if (width) { restoreWidth(width); } else { resizeWidth(); }
+  resizeHeight();
+  var url = location.href;
+  var i=url.indexOf("#");
+  if (i>=0) window.location.hash=url.substr(i);
+  var _preventDefault = function(evt) { evt.preventDefault(); };
+  $("#splitbar").bind("dragstart", _preventDefault).bind("selectstart", _preventDefault);
+  $(document).bind('touchmove',function(e){
+    try {
+      var target = e.target;
+      while (target) {
+        if ($(target).css('-webkit-overflow-scrolling')=='touch') return;
+        target = target.parentNode;
+      }
+      e.preventDefault();
+    } catch(err) {
+      e.preventDefault();
+    }
+  });
+}
+
+
diff --git a/Documentation/Core/html/search.css b/Documentation/Core/html/search.css
new file mode 100644
index 0000000..1746d13
--- /dev/null
+++ b/Documentation/Core/html/search.css
@@ -0,0 +1,240 @@
+/*---------------- Search Box */
+
+#FSearchBox {
+    float: left;
+}
+
+#searchli {
+    float: right;
+    display: block;
+    width: 170px;
+    height: 24px;
+}
+
+#MSearchBox {
+    white-space : nowrap;
+    position: absolute;
+    float: none;
+    display: inline;
+    margin-top: 3px;
+    right: 0px;
+    width: 170px;
+    z-index: 102;
+}
+
+#MSearchBox .left
+{
+    display:block;
+    position:absolute;
+    left:10px;
+    width:20px;
+    height:19px;
+    background:url('search_l.png') no-repeat;
+    background-position:right;
+}
+
+#MSearchSelect {
+    display:block;
+    position:absolute;
+    width:20px;
+    height:19px;
+}
+
+.left #MSearchSelect {
+    left:4px;
+}
+
+.right #MSearchSelect {
+    right:5px;
+}
+
+#MSearchField {
+    display:block;
+    position:absolute;
+    height:19px;
+    background:url('search_m.png') repeat-x;
+    border:none;
+    width:116px;
+    margin-left:20px;
+    padding-left:4px;
+    color: #909090;
+    outline: none;
+    font: 9pt Arial, Verdana, sans-serif;
+}
+
+#FSearchBox #MSearchField {
+    margin-left:15px;
+}
+
+#MSearchBox .right {
+    display:block;
+    position:absolute;
+    right:10px;
+    top:0px;
+    width:20px;
+    height:19px;
+    background:url('search_r.png') no-repeat;
+    background-position:left;
+}
+
+#MSearchClose {
+    display: none;
+    position: absolute;
+    top: 4px;
+    background : none;
+    border: none;
+    margin: 0px 4px 0px 0px;
+    padding: 0px 0px;
+    outline: none;
+}
+
+.left #MSearchClose {
+    left: 6px;
+}
+
+.right #MSearchClose {
+    right: 2px;
+}
+
+.MSearchBoxActive #MSearchField {
+    color: #000000;
+}
+
+/*---------------- Search filter selection */
+
+#MSearchSelectWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #90A5CE;
+    background-color: #F9FAFC;
+    z-index: 1;
+    padding-top: 4px;
+    padding-bottom: 4px;
+    -moz-border-radius: 4px;
+    -webkit-border-top-left-radius: 4px;
+    -webkit-border-top-right-radius: 4px;
+    -webkit-border-bottom-left-radius: 4px;
+    -webkit-border-bottom-right-radius: 4px;
+    -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+.SelectItem {
+    font: 8pt Arial, Verdana, sans-serif;
+    padding-left:  2px;
+    padding-right: 12px;
+    border: 0px;
+}
+
+span.SelectionMark {
+    margin-right: 4px;
+    font-family: monospace;
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem {
+    display: block;
+    outline-style: none;
+    color: #000000; 
+    text-decoration: none;
+    padding-left:   6px;
+    padding-right: 12px;
+}
+
+a.SelectItem:focus,
+a.SelectItem:active {
+    color: #000000; 
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem:hover {
+    color: #FFFFFF;
+    background-color: #3D578C;
+    outline-style: none;
+    text-decoration: none;
+    cursor: pointer;
+    display: block;
+}
+
+/*---------------- Search results window */
+
+iframe#MSearchResults {
+    width: 60ex;
+    height: 15em;
+}
+
+#MSearchResultsWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #000;
+    background-color: #EEF1F7;
+}
+
+/* ----------------------------------- */
+
+
+#SRIndex {
+    clear:both; 
+    padding-bottom: 15px;
+}
+
+.SREntry {
+    font-size: 10pt;
+    padding-left: 1ex;
+}
+
+.SRPage .SREntry {
+    font-size: 8pt;
+    padding: 1px 5px;
+}
+
+body.SRPage {
+    margin: 5px 2px;
+}
+
+.SRChildren {
+    padding-left: 3ex; padding-bottom: .5em 
+}
+
+.SRPage .SRChildren {
+    display: none;
+}
+
+.SRSymbol {
+    font-weight: bold; 
+    color: #425E97;
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRScope {
+    display: block;
+    color: #425E97; 
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRSymbol:focus, a.SRSymbol:active,
+a.SRScope:focus, a.SRScope:active {
+    text-decoration: underline;
+}
+
+.SRPage .SRStatus {
+    padding: 2px 5px;
+    font-size: 8pt;
+    font-style: italic;
+}
+
+.SRResult {
+    display: none;
+}
+
+DIV.searchresults {
+    margin-left: 10px;
+    margin-right: 10px;
+}
diff --git a/Documentation/Core/html/search/all_5f.html b/Documentation/Core/html/search/all_5f.html
new file mode 100644
index 0000000..1f27755
--- /dev/null
+++ b/Documentation/Core/html/search/all_5f.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_5f.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_5f.js b/Documentation/Core/html/search/all_5f.js
new file mode 100644
index 0000000..aa08873
--- /dev/null
+++ b/Documentation/Core/html/search/all_5f.js
@@ -0,0 +1,120 @@
+var searchData=
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new file mode 100644
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new file mode 100644
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new file mode 100644
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+  ['startup_20file_20startup_5f_3cdevice_3e_2es',['Startup File startup_&lt;device&gt;.s',['../startup_s_pg.html',1,'Templates_pg']]],
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+  ['svcall_5firqn',['SVCall_IRQn',['../group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a4ce820b3cc6cf3a796b41aadc0cf1237',1,'Ref_NVIC.txt']]],
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+  ['system_20and_20clock_20configuration',['System and Clock Configuration',['../group__system__init__gr.html',1,'']]],
+  ['systemcoreclock',['SystemCoreClock',['../group__system__init__gr.html#gaa3cd3e43291e81e795d642b79b6088e6',1,'Ref_SystemAndClock.txt']]],
+  ['systemcoreclockupdate',['SystemCoreClockUpdate',['../group__system__init__gr.html#gae0c36a9591fe6e9c45ecb21a794f0f0f',1,'Ref_SystemAndClock.txt']]],
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+  ['systick_20timer_20_28systick_29',['Systick Timer (SYSTICK)',['../group___sys_tick__gr.html',1,'']]],
+  ['systick_5firqn',['SysTick_IRQn',['../group___n_v_i_c__gr.html#gga7e1129cd8a196f4284d41db3e82ad5c8a6dbff8f8543325f3474cbae2446776e7',1,'Ref_NVIC.txt']]],
+  ['systick_5ftype',['SysTick_Type',['../struct_sys_tick___type.html',1,'']]]
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diff --git a/Documentation/Core/html/search/all_74.html b/Documentation/Core/html/search/all_74.html
new file mode 100644
index 0000000..fdc6589
--- /dev/null
+++ b/Documentation/Core/html/search/all_74.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_74.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_74.js b/Documentation/Core/html/search/all_74.js
new file mode 100644
index 0000000..32519be
--- /dev/null
+++ b/Documentation/Core/html/search/all_74.js
@@ -0,0 +1,12 @@
+var searchData=
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+  ['template_2etxt',['Template.txt',['../_template_8txt.html',1,'']]],
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new file mode 100644
index 0000000..ab8455e
--- /dev/null
+++ b/Documentation/Core/html/search/all_75.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_75.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
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+</body>
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diff --git a/Documentation/Core/html/search/all_75.js b/Documentation/Core/html/search/all_75.js
new file mode 100644
index 0000000..ff9ddd5
--- /dev/null
+++ b/Documentation/Core/html/search/all_75.js
@@ -0,0 +1,11 @@
+var searchData=
+[
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+  ['using_2etxt',['Using.txt',['../_using_8txt.html',1,'']]],
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+  ['using_20cmsis_20in_20embedded_20applications',['Using CMSIS in Embedded Applications',['../_using_pg.html',1,'']]],
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diff --git a/Documentation/Core/html/search/all_76.html b/Documentation/Core/html/search/all_76.html
new file mode 100644
index 0000000..0ff5edd
--- /dev/null
+++ b/Documentation/Core/html/search/all_76.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_76.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_76.js b/Documentation/Core/html/search/all_76.js
new file mode 100644
index 0000000..698e362
--- /dev/null
+++ b/Documentation/Core/html/search/all_76.js
@@ -0,0 +1,6 @@
+var searchData=
+[
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+  ['val',['VAL',['../struct_sys_tick___type.html#a9b5420d17e8e43104ddd4ae5a610af93',1,'SysTick_Type']]],
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new file mode 100644
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--- /dev/null
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@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_77.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_77.js b/Documentation/Core/html/search/all_77.js
new file mode 100644
index 0000000..a148462
--- /dev/null
+++ b/Documentation/Core/html/search/all_77.js
@@ -0,0 +1,5 @@
+var searchData=
+[
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new file mode 100644
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--- /dev/null
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@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_78.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_78.js b/Documentation/Core/html/search/all_78.js
new file mode 100644
index 0000000..0167f51
--- /dev/null
+++ b/Documentation/Core/html/search/all_78.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/search/all_7a.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_7a.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/all_7a.js b/Documentation/Core/html/search/all_7a.js
new file mode 100644
index 0000000..ed348a5
--- /dev/null
+++ b/Documentation/Core/html/search/all_7a.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
index 0000000..85e5d72
--- /dev/null
+++ b/Documentation/Core/html/search/classes_61.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_61.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_61.js b/Documentation/Core/html/search/classes_61.js
new file mode 100644
index 0000000..c29bd4c
--- /dev/null
+++ b/Documentation/Core/html/search/classes_61.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
index 0000000..72c66b9
--- /dev/null
+++ b/Documentation/Core/html/search/classes_63.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_63.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_63.js b/Documentation/Core/html/search/classes_63.js
new file mode 100644
index 0000000..d88954d
--- /dev/null
+++ b/Documentation/Core/html/search/classes_63.js
@@ -0,0 +1,5 @@
+var searchData=
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new file mode 100644
index 0000000..5902708
--- /dev/null
+++ b/Documentation/Core/html/search/classes_64.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_64.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
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+var searchResults = new SearchResults("searchResults");
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+</body>
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diff --git a/Documentation/Core/html/search/classes_64.js b/Documentation/Core/html/search/classes_64.js
new file mode 100644
index 0000000..5a47b74
--- /dev/null
+++ b/Documentation/Core/html/search/classes_64.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
index 0000000..941988c
--- /dev/null
+++ b/Documentation/Core/html/search/classes_66.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
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diff --git a/Documentation/Core/html/search/classes_66.js b/Documentation/Core/html/search/classes_66.js
new file mode 100644
index 0000000..f77ca13
--- /dev/null
+++ b/Documentation/Core/html/search/classes_66.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['fpu_5ftype',['FPU_Type',['../struct_f_p_u___type.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/classes_69.html b/Documentation/Core/html/search/classes_69.html
new file mode 100644
index 0000000..961dbea
--- /dev/null
+++ b/Documentation/Core/html/search/classes_69.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_69.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_69.js b/Documentation/Core/html/search/classes_69.js
new file mode 100644
index 0000000..a639ed9
--- /dev/null
+++ b/Documentation/Core/html/search/classes_69.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['ipsr_5ftype',['IPSR_Type',['../union_i_p_s_r___type.html',1,'']]],
+  ['itm_5ftype',['ITM_Type',['../struct_i_t_m___type.html',1,'']]]
+];
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new file mode 100644
index 0000000..abe6f0d
--- /dev/null
+++ b/Documentation/Core/html/search/classes_6d.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_6d.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
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+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_6d.js b/Documentation/Core/html/search/classes_6d.js
new file mode 100644
index 0000000..70da5ab
--- /dev/null
+++ b/Documentation/Core/html/search/classes_6d.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['mpu_5ftype',['MPU_Type',['../struct_m_p_u___type.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/classes_6e.html b/Documentation/Core/html/search/classes_6e.html
new file mode 100644
index 0000000..44803ba
--- /dev/null
+++ b/Documentation/Core/html/search/classes_6e.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_6e.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_6e.js b/Documentation/Core/html/search/classes_6e.js
new file mode 100644
index 0000000..295c3af
--- /dev/null
+++ b/Documentation/Core/html/search/classes_6e.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['nvic_5ftype',['NVIC_Type',['../struct_n_v_i_c___type.html',1,'']]]
+];
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new file mode 100644
index 0000000..a1bf0b9
--- /dev/null
+++ b/Documentation/Core/html/search/classes_73.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_73.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_73.js b/Documentation/Core/html/search/classes_73.js
new file mode 100644
index 0000000..24ac519
--- /dev/null
+++ b/Documentation/Core/html/search/classes_73.js
@@ -0,0 +1,6 @@
+var searchData=
+[
+  ['scb_5ftype',['SCB_Type',['../struct_s_c_b___type.html',1,'']]],
+  ['scnscb_5ftype',['SCnSCB_Type',['../struct_s_cn_s_c_b___type.html',1,'']]],
+  ['systick_5ftype',['SysTick_Type',['../struct_sys_tick___type.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/classes_74.html b/Documentation/Core/html/search/classes_74.html
new file mode 100644
index 0000000..f7f27ce
--- /dev/null
+++ b/Documentation/Core/html/search/classes_74.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_74.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_74.js b/Documentation/Core/html/search/classes_74.js
new file mode 100644
index 0000000..1e04b5d
--- /dev/null
+++ b/Documentation/Core/html/search/classes_74.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['tpi_5ftype',['TPI_Type',['../struct_t_p_i___type.html',1,'']]]
+];
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new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/search/classes_78.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="classes_78.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/classes_78.js b/Documentation/Core/html/search/classes_78.js
new file mode 100644
index 0000000..0167f51
--- /dev/null
+++ b/Documentation/Core/html/search/classes_78.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['xpsr_5ftype',['xPSR_Type',['../unionx_p_s_r___type.html',1,'']]]
+];
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new file mode 100644
index 0000000..9342d3d
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+++ b/Documentation/Core/html/search/close.png
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new file mode 100644
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+++ b/Documentation/Core/html/search/enums_69.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enums_69.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/enums_69.js b/Documentation/Core/html/search/enums_69.js
new file mode 100644
index 0000000..c9f8f4e
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+++ b/Documentation/Core/html/search/enums_69.js
@@ -0,0 +1,4 @@
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new file mode 100644
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+++ b/Documentation/Core/html/search/enumvalues_62.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enumvalues_62.js"></script>
+<script type="text/javascript" src="search.js"></script>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/enumvalues_62.js b/Documentation/Core/html/search/enumvalues_62.js
new file mode 100644
index 0000000..eb1ab56
--- /dev/null
+++ b/Documentation/Core/html/search/enumvalues_62.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
index 0000000..2cae30b
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+++ b/Documentation/Core/html/search/enumvalues_64.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enumvalues_64.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</body>
+</html>
diff --git a/Documentation/Core/html/search/enumvalues_64.js b/Documentation/Core/html/search/enumvalues_64.js
new file mode 100644
index 0000000..a18acaa
--- /dev/null
+++ b/Documentation/Core/html/search/enumvalues_64.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
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+++ b/Documentation/Core/html/search/enumvalues_68.html
@@ -0,0 +1,25 @@
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enumvalues_68.js"></script>
+<script type="text/javascript" src="search.js"></script>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</body>
+</html>
diff --git a/Documentation/Core/html/search/enumvalues_68.js b/Documentation/Core/html/search/enumvalues_68.js
new file mode 100644
index 0000000..c8b95ba
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+++ b/Documentation/Core/html/search/enumvalues_68.js
@@ -0,0 +1,4 @@
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new file mode 100644
index 0000000..5e0c86b
--- /dev/null
+++ b/Documentation/Core/html/search/enumvalues_6d.html
@@ -0,0 +1,25 @@
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enumvalues_6d.js"></script>
+<script type="text/javascript" src="search.js"></script>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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new file mode 100644
index 0000000..cd9f6ba
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+++ b/Documentation/Core/html/search/enumvalues_6d.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
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+++ b/Documentation/Core/html/search/enumvalues_6e.html
@@ -0,0 +1,25 @@
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+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="enumvalues_6e.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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new file mode 100644
index 0000000..05bc07e
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+++ b/Documentation/Core/html/search/enumvalues_6e.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
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@@ -0,0 +1,25 @@
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+<link rel="stylesheet" type="text/css" href="search.css"/>
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+<script type="text/javascript" src="search.js"></script>
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+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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+++ b/Documentation/Core/html/search/files_6f.js
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new file mode 100644
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new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/search/files_72.js
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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@@ -0,0 +1,4 @@
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new file mode 100644
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+<script type="text/javascript" src="functions_6e.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
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diff --git a/Documentation/Core/html/search/functions_6e.js b/Documentation/Core/html/search/functions_6e.js
new file mode 100644
index 0000000..d667500
--- /dev/null
+++ b/Documentation/Core/html/search/functions_6e.js
@@ -0,0 +1,16 @@
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+<div id="SRIndex">
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+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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--- /dev/null
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_63.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</body>
+</html>
diff --git a/Documentation/Core/html/search/groups_63.js b/Documentation/Core/html/search/groups_63.js
new file mode 100644
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+++ b/Documentation/Core/html/search/groups_63.js
@@ -0,0 +1,5 @@
+var searchData=
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
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+<link rel="stylesheet" type="text/css" href="search.css"/>
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+<script type="text/javascript" src="search.js"></script>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
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+<div class="SRStatus" id="NoMatches">No Matches</div>
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new file mode 100644
index 0000000..b961582
--- /dev/null
+++ b/Documentation/Core/html/search/groups_64.js
@@ -0,0 +1,5 @@
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+<script type="text/javascript" src="groups_66.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
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+<div class="SRStatus" id="Searching">Searching...</div>
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+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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diff --git a/Documentation/Core/html/search/groups_66.js b/Documentation/Core/html/search/groups_66.js
new file mode 100644
index 0000000..19997bc
--- /dev/null
+++ b/Documentation/Core/html/search/groups_66.js
@@ -0,0 +1,4 @@
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new file mode 100644
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+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
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+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/groups_69.js b/Documentation/Core/html/search/groups_69.js
new file mode 100644
index 0000000..b641b4c
--- /dev/null
+++ b/Documentation/Core/html/search/groups_69.js
@@ -0,0 +1,7 @@
+var searchData=
+[
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+  ['intrinsic_20functions_20for_20simd_20instructions_20_5bonly_20cortex_2dm4_20and_20cortex_2dm7_5d',['Intrinsic Functions for SIMD Instructions [only Cortex-M4 and Cortex-M7]',['../group__intrinsic___s_i_m_d__gr.html',1,'']]],
+  ['interrupts_20and_20exceptions_20_28nvic_29',['Interrupts and Exceptions (NVIC)',['../group___n_v_i_c__gr.html',1,'']]]
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new file mode 100644
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+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_70.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
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+</body>
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new file mode 100644
index 0000000..46a7250
--- /dev/null
+++ b/Documentation/Core/html/search/groups_70.js
@@ -0,0 +1,4 @@
+var searchData=
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new file mode 100644
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+++ b/Documentation/Core/html/search/groups_73.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_73.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
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+var searchResults = new SearchResults("searchResults");
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+</body>
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new file mode 100644
index 0000000..e5758ab
--- /dev/null
+++ b/Documentation/Core/html/search/groups_73.js
@@ -0,0 +1,5 @@
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new file mode 100644
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+++ b/Documentation/Core/html/search/nomatches.html
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+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_62.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<script type="text/javascript"><!--
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new file mode 100644
index 0000000..c696ece
--- /dev/null
+++ b/Documentation/Core/html/search/pages_62.js
@@ -0,0 +1,4 @@
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new file mode 100644
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_64.js b/Documentation/Core/html/search/pages_64.js
new file mode 100644
index 0000000..538e9d3
--- /dev/null
+++ b/Documentation/Core/html/search/pages_64.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['device_20header_20file_20_3cdevice_2eh_3e',['Device Header File &lt;device.h&gt;',['../device_h_pg.html',1,'Templates_pg']]]
+];
diff --git a/Documentation/Core/html/search/pages_6d.html b/Documentation/Core/html/search/pages_6d.html
new file mode 100644
index 0000000..958ccc6
--- /dev/null
+++ b/Documentation/Core/html/search/pages_6d.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_6d.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_6d.js b/Documentation/Core/html/search/pages_6d.js
new file mode 100644
index 0000000..84ebce3
--- /dev/null
+++ b/Documentation/Core/html/search/pages_6d.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['misra_2dc_3a2004_20compliance_20exceptions',['MISRA-C:2004 Compliance Exceptions',['../_c_o_r_e__m_i_s_r_a__exceptions_pg.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/pages_6f.html b/Documentation/Core/html/search/pages_6f.html
new file mode 100644
index 0000000..9c79c3f
--- /dev/null
+++ b/Documentation/Core/html/search/pages_6f.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_6f.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_6f.js b/Documentation/Core/html/search/pages_6f.js
new file mode 100644
index 0000000..277cca0
--- /dev/null
+++ b/Documentation/Core/html/search/pages_6f.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['overview',['Overview',['../index.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/pages_72.html b/Documentation/Core/html/search/pages_72.html
new file mode 100644
index 0000000..ee0d002
--- /dev/null
+++ b/Documentation/Core/html/search/pages_72.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_72.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_72.js b/Documentation/Core/html/search/pages_72.js
new file mode 100644
index 0000000..2abc5dc
--- /dev/null
+++ b/Documentation/Core/html/search/pages_72.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['revision_20history_20of_20cmsis_2dcore',['Revision History of CMSIS-CORE',['../core_revision_history.html',1,'']]],
+  ['register_20mapping',['Register Mapping',['../_reg_map_pg.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/pages_73.html b/Documentation/Core/html/search/pages_73.html
new file mode 100644
index 0000000..ba42c50
--- /dev/null
+++ b/Documentation/Core/html/search/pages_73.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_73.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_73.js b/Documentation/Core/html/search/pages_73.js
new file mode 100644
index 0000000..85147d5
--- /dev/null
+++ b/Documentation/Core/html/search/pages_73.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['startup_20file_20startup_5f_3cdevice_3e_2es',['Startup File startup_&lt;device&gt;.s',['../startup_s_pg.html',1,'Templates_pg']]],
+  ['system_20configuration_20files_20system_5f_3cdevice_3e_2ec_20and_20system_5f_3cdevice_3e_2eh',['System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h',['../system_c_pg.html',1,'Templates_pg']]]
+];
diff --git a/Documentation/Core/html/search/pages_74.html b/Documentation/Core/html/search/pages_74.html
new file mode 100644
index 0000000..bbff83e
--- /dev/null
+++ b/Documentation/Core/html/search/pages_74.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_74.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_74.js b/Documentation/Core/html/search/pages_74.js
new file mode 100644
index 0000000..abdc31d
--- /dev/null
+++ b/Documentation/Core/html/search/pages_74.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['template_20files',['Template Files',['../_templates_pg.html',1,'']]]
+];
diff --git a/Documentation/Core/html/search/pages_75.html b/Documentation/Core/html/search/pages_75.html
new file mode 100644
index 0000000..25bde52
--- /dev/null
+++ b/Documentation/Core/html/search/pages_75.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_75.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/pages_75.js b/Documentation/Core/html/search/pages_75.js
new file mode 100644
index 0000000..6a7b878
--- /dev/null
+++ b/Documentation/Core/html/search/pages_75.js
@@ -0,0 +1,6 @@
+var searchData=
+[
+  ['using_20cmsis_20with_20generic_20arm_20processors',['Using CMSIS with generic ARM Processors',['../_using__a_r_m_pg.html',1,'Using_pg']]],
+  ['using_20cmsis_20in_20embedded_20applications',['Using CMSIS in Embedded Applications',['../_using_pg.html',1,'']]],
+  ['using_20interrupt_20vector_20remap',['Using Interrupt Vector Remap',['../_using__v_t_o_r_pg.html',1,'Using_pg']]]
+];
diff --git a/Documentation/Core/html/search/search.css b/Documentation/Core/html/search/search.css
new file mode 100644
index 0000000..1746d13
--- /dev/null
+++ b/Documentation/Core/html/search/search.css
@@ -0,0 +1,240 @@
+/*---------------- Search Box */
+
+#FSearchBox {
+    float: left;
+}
+
+#searchli {
+    float: right;
+    display: block;
+    width: 170px;
+    height: 24px;
+}
+
+#MSearchBox {
+    white-space : nowrap;
+    position: absolute;
+    float: none;
+    display: inline;
+    margin-top: 3px;
+    right: 0px;
+    width: 170px;
+    z-index: 102;
+}
+
+#MSearchBox .left
+{
+    display:block;
+    position:absolute;
+    left:10px;
+    width:20px;
+    height:19px;
+    background:url('search_l.png') no-repeat;
+    background-position:right;
+}
+
+#MSearchSelect {
+    display:block;
+    position:absolute;
+    width:20px;
+    height:19px;
+}
+
+.left #MSearchSelect {
+    left:4px;
+}
+
+.right #MSearchSelect {
+    right:5px;
+}
+
+#MSearchField {
+    display:block;
+    position:absolute;
+    height:19px;
+    background:url('search_m.png') repeat-x;
+    border:none;
+    width:116px;
+    margin-left:20px;
+    padding-left:4px;
+    color: #909090;
+    outline: none;
+    font: 9pt Arial, Verdana, sans-serif;
+}
+
+#FSearchBox #MSearchField {
+    margin-left:15px;
+}
+
+#MSearchBox .right {
+    display:block;
+    position:absolute;
+    right:10px;
+    top:0px;
+    width:20px;
+    height:19px;
+    background:url('search_r.png') no-repeat;
+    background-position:left;
+}
+
+#MSearchClose {
+    display: none;
+    position: absolute;
+    top: 4px;
+    background : none;
+    border: none;
+    margin: 0px 4px 0px 0px;
+    padding: 0px 0px;
+    outline: none;
+}
+
+.left #MSearchClose {
+    left: 6px;
+}
+
+.right #MSearchClose {
+    right: 2px;
+}
+
+.MSearchBoxActive #MSearchField {
+    color: #000000;
+}
+
+/*---------------- Search filter selection */
+
+#MSearchSelectWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #90A5CE;
+    background-color: #F9FAFC;
+    z-index: 1;
+    padding-top: 4px;
+    padding-bottom: 4px;
+    -moz-border-radius: 4px;
+    -webkit-border-top-left-radius: 4px;
+    -webkit-border-top-right-radius: 4px;
+    -webkit-border-bottom-left-radius: 4px;
+    -webkit-border-bottom-right-radius: 4px;
+    -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+.SelectItem {
+    font: 8pt Arial, Verdana, sans-serif;
+    padding-left:  2px;
+    padding-right: 12px;
+    border: 0px;
+}
+
+span.SelectionMark {
+    margin-right: 4px;
+    font-family: monospace;
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem {
+    display: block;
+    outline-style: none;
+    color: #000000; 
+    text-decoration: none;
+    padding-left:   6px;
+    padding-right: 12px;
+}
+
+a.SelectItem:focus,
+a.SelectItem:active {
+    color: #000000; 
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem:hover {
+    color: #FFFFFF;
+    background-color: #3D578C;
+    outline-style: none;
+    text-decoration: none;
+    cursor: pointer;
+    display: block;
+}
+
+/*---------------- Search results window */
+
+iframe#MSearchResults {
+    width: 60ex;
+    height: 15em;
+}
+
+#MSearchResultsWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #000;
+    background-color: #EEF1F7;
+}
+
+/* ----------------------------------- */
+
+
+#SRIndex {
+    clear:both; 
+    padding-bottom: 15px;
+}
+
+.SREntry {
+    font-size: 10pt;
+    padding-left: 1ex;
+}
+
+.SRPage .SREntry {
+    font-size: 8pt;
+    padding: 1px 5px;
+}
+
+body.SRPage {
+    margin: 5px 2px;
+}
+
+.SRChildren {
+    padding-left: 3ex; padding-bottom: .5em 
+}
+
+.SRPage .SRChildren {
+    display: none;
+}
+
+.SRSymbol {
+    font-weight: bold; 
+    color: #425E97;
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRScope {
+    display: block;
+    color: #425E97; 
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRSymbol:focus, a.SRSymbol:active,
+a.SRScope:focus, a.SRScope:active {
+    text-decoration: underline;
+}
+
+.SRPage .SRStatus {
+    padding: 2px 5px;
+    font-size: 8pt;
+    font-style: italic;
+}
+
+.SRResult {
+    display: none;
+}
+
+DIV.searchresults {
+    margin-left: 10px;
+    margin-right: 10px;
+}
diff --git a/Documentation/Core/html/search/search.js b/Documentation/Core/html/search/search.js
new file mode 100644
index 0000000..6fb8704
--- /dev/null
+++ b/Documentation/Core/html/search/search.js
@@ -0,0 +1,811 @@
+// Search script generated by doxygen
+// Copyright (C) 2009 by Dimitri van Heesch.
+
+// The code in this file is loosly based on main.js, part of Natural Docs,
+// which is Copyright (C) 2003-2008 Greg Valure
+// Natural Docs is licensed under the GPL.
+
+var indexSectionsWithContent =
+{
+  0: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010111111011001111111111111010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  1: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101101001000110000110001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  2: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000101001011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  3: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000001000010000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  4: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010111111011001110111111110010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  5: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  6: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100010000110100101010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  7: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001101001000000100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  8: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010100000000101001111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
+};
+
+var indexSectionNames =
+{
+  0: "all",
+  1: "classes",
+  2: "files",
+  3: "functions",
+  4: "variables",
+  5: "enums",
+  6: "enumvalues",
+  7: "groups",
+  8: "pages"
+};
+
+function convertToId(search)
+{
+  var result = '';
+  for (i=0;i<search.length;i++)
+  {
+    var c = search.charAt(i);
+    var cn = c.charCodeAt(0);
+    if (c.match(/[a-z0-9]/))
+    {
+      result+=c;
+    }
+    else if (cn<16) 
+    {
+      result+="_0"+cn.toString(16);
+    }
+    else 
+    {
+      result+="_"+cn.toString(16);
+    }
+  }
+  return result;
+}
+
+function getXPos(item)
+{
+  var x = 0;
+  if (item.offsetWidth)
+  {
+    while (item && item!=document.body)
+    {
+      x   += item.offsetLeft;
+      item = item.offsetParent;
+    }
+  }
+  return x;
+}
+
+function getYPos(item)
+{
+  var y = 0;
+  if (item.offsetWidth)
+  {
+     while (item && item!=document.body)
+     {
+       y   += item.offsetTop;
+       item = item.offsetParent;
+     }
+  }
+  return y;
+}
+
+/* A class handling everything associated with the search panel.
+
+   Parameters:
+   name - The name of the global variable that will be 
+          storing this instance.  Is needed to be able to set timeouts.
+   resultPath - path to use for external files
+*/
+function SearchBox(name, resultsPath, inFrame, label)
+{
+  if (!name || !resultsPath) {  alert("Missing parameters to SearchBox."); }
+   
+  // ---------- Instance variables
+  this.name                  = name;
+  this.resultsPath           = resultsPath;
+  this.keyTimeout            = 0;
+  this.keyTimeoutLength      = 500;
+  this.closeSelectionTimeout = 300;
+  this.lastSearchValue       = "";
+  this.lastResultsPage       = "";
+  this.hideTimeout           = 0;
+  this.searchIndex           = 0;
+  this.searchActive          = false;
+  this.insideFrame           = inFrame;
+  this.searchLabel           = label;
+
+  // ----------- DOM Elements
+
+  this.DOMSearchField = function()
+  {  return document.getElementById("MSearchField");  }
+
+  this.DOMSearchSelect = function()
+  {  return document.getElementById("MSearchSelect");  }
+
+  this.DOMSearchSelectWindow = function()
+  {  return document.getElementById("MSearchSelectWindow");  }
+
+  this.DOMPopupSearchResults = function()
+  {  return document.getElementById("MSearchResults");  }
+
+  this.DOMPopupSearchResultsWindow = function()
+  {  return document.getElementById("MSearchResultsWindow");  }
+
+  this.DOMSearchClose = function()
+  {  return document.getElementById("MSearchClose"); }
+
+  this.DOMSearchBox = function()
+  {  return document.getElementById("MSearchBox");  }
+
+  // ------------ Event Handlers
+
+  // Called when focus is added or removed from the search field.
+  this.OnSearchFieldFocus = function(isActive)
+  {
+    this.Activate(isActive);
+  }
+
+  this.OnSearchSelectShow = function()
+  {
+    var searchSelectWindow = this.DOMSearchSelectWindow();
+    var searchField        = this.DOMSearchSelect();
+
+    if (this.insideFrame)
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      left += searchField.offsetWidth + 6;
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      left -= searchSelectWindow.offsetWidth;
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+    else
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+
+    // stop selection hide timer
+    if (this.hideTimeout) 
+    {
+      clearTimeout(this.hideTimeout);
+      this.hideTimeout=0;
+    }
+    return false; // to avoid "image drag" default event
+  }
+
+  this.OnSearchSelectHide = function()
+  {
+    this.hideTimeout = setTimeout(this.name +".CloseSelectionWindow()",
+                                  this.closeSelectionTimeout);
+  }
+
+  // Called when the content of the search field is changed.
+  this.OnSearchFieldChange = function(evt)
+  {
+    if (this.keyTimeout) // kill running timer
+    {
+      clearTimeout(this.keyTimeout);
+      this.keyTimeout = 0;
+    }
+
+    var e  = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 || e.keyCode==13)
+    {
+      if (e.shiftKey==1)
+      {
+        this.OnSearchSelectShow();
+        var win=this.DOMSearchSelectWindow(); 
+        for (i=0;i<win.childNodes.length;i++)
+        {
+          var child = win.childNodes[i]; // get span within a
+          if (child.className=='SelectItem')
+          {
+            child.focus();
+            return;
+          }
+        }
+        return;
+      }
+      else if (window.frames.MSearchResults.searchResults)
+      {
+        var elem = window.frames.MSearchResults.searchResults.NavNext(0);
+        if (elem) elem.focus();
+      }
+    }
+    else if (e.keyCode==27) // Escape out of the search field
+    {
+      this.DOMSearchField().blur();
+      this.DOMPopupSearchResultsWindow().style.display = 'none';
+      this.DOMSearchClose().style.display = 'none';
+      this.lastSearchValue = '';
+      this.Activate(false);
+      return;
+    }
+
+    // strip whitespaces
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+
+    if (searchValue != this.lastSearchValue) // search value has changed
+    {
+      if (searchValue != "") // non-empty search
+      {
+        // set timer for search update
+        this.keyTimeout = setTimeout(this.name + '.Search()',
+                                     this.keyTimeoutLength);
+      }
+      else // empty search field
+      {
+        this.DOMPopupSearchResultsWindow().style.display = 'none';
+        this.DOMSearchClose().style.display = 'none';
+        this.lastSearchValue = '';
+      }
+    }
+  }
+
+  this.SelectItemCount = function(id)
+  {
+    var count=0;
+    var win=this.DOMSearchSelectWindow(); 
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        count++;
+      }
+    }
+    return count;
+  }
+
+  this.SelectItemSet = function(id)
+  {
+    var i,j=0;
+    var win=this.DOMSearchSelectWindow(); 
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        var node = child.firstChild;
+        if (j==id)
+        {
+          node.innerHTML='&#8226;';
+        }
+        else
+        {
+          node.innerHTML='&#160;';
+        }
+        j++;
+      }
+    }
+  }
+
+  // Called when an search filter selection is made.
+  // set item with index id as the active item
+  this.OnSelectItem = function(id)
+  {
+    this.searchIndex = id;
+    this.SelectItemSet(id);
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+    if (searchValue!="" && this.searchActive) // something was found -> do a search
+    {
+      this.Search();
+    }
+  }
+
+  this.OnSearchSelectKey = function(evt)
+  {
+    var e = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 && this.searchIndex<this.SelectItemCount()) // Down
+    {
+      this.searchIndex++;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==38 && this.searchIndex>0) // Up
+    {
+      this.searchIndex--;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==13 || e.keyCode==27)
+    {
+      this.OnSelectItem(this.searchIndex);
+      this.CloseSelectionWindow();
+      this.DOMSearchField().focus();
+    }
+    return false;
+  }
+
+  // --------- Actions
+
+  // Closes the results window.
+  this.CloseResultsWindow = function()
+  {
+    this.DOMPopupSearchResultsWindow().style.display = 'none';
+    this.DOMSearchClose().style.display = 'none';
+    this.Activate(false);
+  }
+
+  this.CloseSelectionWindow = function()
+  {
+    this.DOMSearchSelectWindow().style.display = 'none';
+  }
+
+  // Performs a search.
+  this.Search = function()
+  {
+    this.keyTimeout = 0;
+
+    // strip leading whitespace
+    var searchValue = this.DOMSearchField().value.replace(/^ +/, "");
+
+    var code = searchValue.toLowerCase().charCodeAt(0);
+    var hexCode;
+    if (code<16) 
+    {
+      hexCode="0"+code.toString(16);
+    }
+    else 
+    {
+      hexCode=code.toString(16);
+    }
+
+    var resultsPage;
+    var resultsPageWithSearch;
+    var hasResultsPage;
+
+    if (indexSectionsWithContent[this.searchIndex].charAt(code) == '1')
+    {
+       resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html';
+       resultsPageWithSearch = resultsPage+'?'+escape(searchValue);
+       hasResultsPage = true;
+    }
+    else // nothing available for this search term
+    {
+       resultsPage = this.resultsPath + '/nomatches.html';
+       resultsPageWithSearch = resultsPage;
+       hasResultsPage = false;
+    }
+
+    window.frames.MSearchResults.location = resultsPageWithSearch;  
+    var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow();
+
+    if (domPopupSearchResultsWindow.style.display!='block')
+    {
+       var domSearchBox = this.DOMSearchBox();
+       this.DOMSearchClose().style.display = 'inline';
+       if (this.insideFrame)
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         domPopupSearchResultsWindow.style.position = 'relative';
+         domPopupSearchResultsWindow.style.display  = 'block';
+         var width = document.body.clientWidth - 8; // the -8 is for IE :-(
+         domPopupSearchResultsWindow.style.width    = width + 'px';
+         domPopupSearchResults.style.width          = width + 'px';
+       }
+       else
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth;
+         var top  = getYPos(domSearchBox) + 20;  // domSearchBox.offsetHeight + 1;
+         domPopupSearchResultsWindow.style.display = 'block';
+         left -= domPopupSearchResults.offsetWidth;
+         domPopupSearchResultsWindow.style.top     = top  + 'px';
+         domPopupSearchResultsWindow.style.left    = left + 'px';
+       }
+    }
+
+    this.lastSearchValue = searchValue;
+    this.lastResultsPage = resultsPage;
+  }
+
+  // -------- Activation Functions
+
+  // Activates or deactivates the search panel, resetting things to 
+  // their default values if necessary. 
+  this.Activate = function(isActive)
+  {
+    if (isActive || // open it
+        this.DOMPopupSearchResultsWindow().style.display == 'block' 
+       )
+    {
+      this.DOMSearchBox().className = 'MSearchBoxActive';
+
+      var searchField = this.DOMSearchField();
+
+      if (searchField.value == this.searchLabel) // clear "Search" term upon entry
+      {  
+        searchField.value = '';  
+        this.searchActive = true;
+      }
+    }
+    else if (!isActive) // directly remove the panel
+    {
+      this.DOMSearchBox().className = 'MSearchBoxInactive';
+      this.DOMSearchField().value   = this.searchLabel;
+      this.searchActive             = false;
+      this.lastSearchValue          = ''
+      this.lastResultsPage          = '';
+    }
+  }
+}
+
+// -----------------------------------------------------------------------
+
+// The class that handles everything on the search results page.
+function SearchResults(name)
+{
+    // The number of matches from the last run of <Search()>.
+    this.lastMatchCount = 0;
+    this.lastKey = 0;
+    this.repeatOn = false;
+
+    // Toggles the visibility of the passed element ID.
+    this.FindChildElement = function(id)
+    {
+      var parentElement = document.getElementById(id);
+      var element = parentElement.firstChild;
+
+      while (element && element!=parentElement)
+      {
+        if (element.nodeName == 'DIV' && element.className == 'SRChildren')
+        {
+          return element;
+        }
+
+        if (element.nodeName == 'DIV' && element.hasChildNodes())
+        {  
+           element = element.firstChild;  
+        }
+        else if (element.nextSibling)
+        {  
+           element = element.nextSibling;  
+        }
+        else
+        {
+          do
+          {
+            element = element.parentNode;
+          }
+          while (element && element!=parentElement && !element.nextSibling);
+
+          if (element && element!=parentElement)
+          {  
+            element = element.nextSibling;  
+          }
+        }
+      }
+    }
+
+    this.Toggle = function(id)
+    {
+      var element = this.FindChildElement(id);
+      if (element)
+      {
+        if (element.style.display == 'block')
+        {
+          element.style.display = 'none';
+        }
+        else
+        {
+          element.style.display = 'block';
+        }
+      }
+    }
+
+    // Searches for the passed string.  If there is no parameter,
+    // it takes it from the URL query.
+    //
+    // Always returns true, since other documents may try to call it
+    // and that may or may not be possible.
+    this.Search = function(search)
+    {
+      if (!search) // get search word from URL
+      {
+        search = window.location.search;
+        search = search.substring(1);  // Remove the leading '?'
+        search = unescape(search);
+      }
+
+      search = search.replace(/^ +/, ""); // strip leading spaces
+      search = search.replace(/ +$/, ""); // strip trailing spaces
+      search = search.toLowerCase();
+      search = convertToId(search);
+
+      var resultRows = document.getElementsByTagName("div");
+      var matches = 0;
+
+      var i = 0;
+      while (i < resultRows.length)
+      {
+        var row = resultRows.item(i);
+        if (row.className == "SRResult")
+        {
+          var rowMatchName = row.id.toLowerCase();
+          rowMatchName = rowMatchName.replace(/^sr\d*_/, ''); // strip 'sr123_'
+
+          if (search.length<=rowMatchName.length && 
+             rowMatchName.substr(0, search.length)==search)
+          {
+            row.style.display = 'block';
+            matches++;
+          }
+          else
+          {
+            row.style.display = 'none';
+          }
+        }
+        i++;
+      }
+      document.getElementById("Searching").style.display='none';
+      if (matches == 0) // no results
+      {
+        document.getElementById("NoMatches").style.display='block';
+      }
+      else // at least one result
+      {
+        document.getElementById("NoMatches").style.display='none';
+      }
+      this.lastMatchCount = matches;
+      return true;
+    }
+
+    // return the first item with index index or higher that is visible
+    this.NavNext = function(index)
+    {
+      var focusItem;
+      while (1)
+      {
+        var focusName = 'Item'+index;
+        focusItem = document.getElementById(focusName);
+        if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
+        {
+          break;
+        }
+        else if (!focusItem) // last element
+        {
+          break;
+        }
+        focusItem=null;
+        index++;
+      }
+      return focusItem;
+    }
+
+    this.NavPrev = function(index)
+    {
+      var focusItem;
+      while (1)
+      {
+        var focusName = 'Item'+index;
+        focusItem = document.getElementById(focusName);
+        if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
+        {
+          break;
+        }
+        else if (!focusItem) // last element
+        {
+          break;
+        }
+        focusItem=null;
+        index--;
+      }
+      return focusItem;
+    }
+
+    this.ProcessKeys = function(e)
+    {
+      if (e.type == "keydown") 
+      {
+        this.repeatOn = false;
+        this.lastKey = e.keyCode;
+      }
+      else if (e.type == "keypress")
+      {
+        if (!this.repeatOn)
+        {
+          if (this.lastKey) this.repeatOn = true;
+          return false; // ignore first keypress after keydown
+        }
+      }
+      else if (e.type == "keyup")
+      {
+        this.lastKey = 0;
+        this.repeatOn = false;
+      }
+      return this.lastKey!=0;
+    }
+
+    this.Nav = function(evt,itemIndex) 
+    {
+      var e  = (evt) ? evt : window.event; // for IE
+      if (e.keyCode==13) return true;
+      if (!this.ProcessKeys(e)) return false;
+
+      if (this.lastKey==38) // Up
+      {
+        var newIndex = itemIndex-1;
+        var focusItem = this.NavPrev(newIndex);
+        if (focusItem)
+        {
+          var child = this.FindChildElement(focusItem.parentNode.parentNode.id);
+          if (child && child.style.display == 'block') // children visible
+          { 
+            var n=0;
+            var tmpElem;
+            while (1) // search for last child
+            {
+              tmpElem = document.getElementById('Item'+newIndex+'_c'+n);
+              if (tmpElem)
+              {
+                focusItem = tmpElem;
+              }
+              else // found it!
+              {
+                break;
+              }
+              n++;
+            }
+          }
+        }
+        if (focusItem)
+        {
+          focusItem.focus();
+        }
+        else // return focus to search field
+        {
+           parent.document.getElementById("MSearchField").focus();
+        }
+      }
+      else if (this.lastKey==40) // Down
+      {
+        var newIndex = itemIndex+1;
+        var focusItem;
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem && elem.style.display == 'block') // children visible
+        {
+          focusItem = document.getElementById('Item'+itemIndex+'_c0');
+        }
+        if (!focusItem) focusItem = this.NavNext(newIndex);
+        if (focusItem)  focusItem.focus();
+      }
+      else if (this.lastKey==39) // Right
+      {
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem) elem.style.display = 'block';
+      }
+      else if (this.lastKey==37) // Left
+      {
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem) elem.style.display = 'none';
+      }
+      else if (this.lastKey==27) // Escape
+      {
+        parent.searchBox.CloseResultsWindow();
+        parent.document.getElementById("MSearchField").focus();
+      }
+      else if (this.lastKey==13) // Enter
+      {
+        return true;
+      }
+      return false;
+    }
+
+    this.NavChild = function(evt,itemIndex,childIndex)
+    {
+      var e  = (evt) ? evt : window.event; // for IE
+      if (e.keyCode==13) return true;
+      if (!this.ProcessKeys(e)) return false;
+
+      if (this.lastKey==38) // Up
+      {
+        if (childIndex>0)
+        {
+          var newIndex = childIndex-1;
+          document.getElementById('Item'+itemIndex+'_c'+newIndex).focus();
+        }
+        else // already at first child, jump to parent
+        {
+          document.getElementById('Item'+itemIndex).focus();
+        }
+      }
+      else if (this.lastKey==40) // Down
+      {
+        var newIndex = childIndex+1;
+        var elem = document.getElementById('Item'+itemIndex+'_c'+newIndex);
+        if (!elem) // last child, jump to parent next parent
+        {
+          elem = this.NavNext(itemIndex+1);
+        }
+        if (elem)
+        {
+          elem.focus();
+        } 
+      }
+      else if (this.lastKey==27) // Escape
+      {
+        parent.searchBox.CloseResultsWindow();
+        parent.document.getElementById("MSearchField").focus();
+      }
+      else if (this.lastKey==13) // Enter
+      {
+        return true;
+      }
+      return false;
+    }
+}
+
+function setKeyActions(elem,action)
+{
+  elem.setAttribute('onkeydown',action);
+  elem.setAttribute('onkeypress',action);
+  elem.setAttribute('onkeyup',action);
+}
+
+function setClassAttr(elem,attr)
+{
+  elem.setAttribute('class',attr);
+  elem.setAttribute('className',attr);
+}
+
+function createResults()
+{
+  var results = document.getElementById("SRResults");
+  for (var e=0; e<searchData.length; e++)
+  {
+    var id = searchData[e][0];
+    var srResult = document.createElement('div');
+    srResult.setAttribute('id','SR_'+id);
+    setClassAttr(srResult,'SRResult');
+    var srEntry = document.createElement('div');
+    setClassAttr(srEntry,'SREntry');
+    var srLink = document.createElement('a');
+    srLink.setAttribute('id','Item'+e);
+    setKeyActions(srLink,'return searchResults.Nav(event,'+e+')');
+    setClassAttr(srLink,'SRSymbol');
+    srLink.innerHTML = searchData[e][1][0];
+    srEntry.appendChild(srLink);
+    if (searchData[e][1].length==2) // single result
+    {
+      srLink.setAttribute('href',searchData[e][1][1][0]);
+      if (searchData[e][1][1][1])
+      {
+       srLink.setAttribute('target','_parent');
+      }
+      var srScope = document.createElement('span');
+      setClassAttr(srScope,'SRScope');
+      srScope.innerHTML = searchData[e][1][1][2];
+      srEntry.appendChild(srScope);
+    }
+    else // multiple results
+    {
+      srLink.setAttribute('href','javascript:searchResults.Toggle("SR_'+id+'")');
+      var srChildren = document.createElement('div');
+      setClassAttr(srChildren,'SRChildren');
+      for (var c=0; c<searchData[e][1].length-1; c++)
+      {
+        var srChild = document.createElement('a');
+        srChild.setAttribute('id','Item'+e+'_c'+c);
+        setKeyActions(srChild,'return searchResults.NavChild(event,'+e+','+c+')');
+        setClassAttr(srChild,'SRScope');
+        srChild.setAttribute('href',searchData[e][1][c+1][0]);
+        if (searchData[e][1][c+1][1])
+        {
+         srChild.setAttribute('target','_parent');
+        }
+        srChild.innerHTML = searchData[e][1][c+1][2];
+        srChildren.appendChild(srChild);
+      }
+      srEntry.appendChild(srChildren);
+    }
+    srResult.appendChild(srEntry);
+    results.appendChild(srResult);
+  }
+}
+
diff --git a/Documentation/Core/html/search/search_l.png b/Documentation/Core/html/search/search_l.png
new file mode 100644
index 0000000..c872f4d
--- /dev/null
+++ b/Documentation/Core/html/search/search_l.png
Binary files differ
diff --git a/Documentation/Core/html/search/search_m.png b/Documentation/Core/html/search/search_m.png
new file mode 100644
index 0000000..b429a16
--- /dev/null
+++ b/Documentation/Core/html/search/search_m.png
Binary files differ
diff --git a/Documentation/Core/html/search/search_r.png b/Documentation/Core/html/search/search_r.png
new file mode 100644
index 0000000..97ee8b4
--- /dev/null
+++ b/Documentation/Core/html/search/search_r.png
Binary files differ
diff --git a/Documentation/Core/html/search/variables_5f.html b/Documentation/Core/html/search/variables_5f.html
new file mode 100644
index 0000000..375abd9
--- /dev/null
+++ b/Documentation/Core/html/search/variables_5f.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="variables_5f.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/variables_5f.js b/Documentation/Core/html/search/variables_5f.js
new file mode 100644
index 0000000..208e0d9
--- /dev/null
+++ b/Documentation/Core/html/search/variables_5f.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['_5freserved0',['_reserved0',['../union_a_p_s_r___type.html#afbce95646fd514c10aa85ec0a33db728',1,'APSR_Type::_reserved0()'],['../union_i_p_s_r___type.html#ad2eb0a06de4f03f58874a727716aa9aa',1,'IPSR_Type::_reserved0()'],['../unionx_p_s_r___type.html#af438e0f407357e914a70b5bd4d6a97c5',1,'xPSR_Type::_reserved0()'],['../union_c_o_n_t_r_o_l___type.html#af8c314273a1e4970a5671bd7f8184f50',1,'CONTROL_Type::_reserved0()']]]
+];
diff --git a/Documentation/Core/html/search/variables_61.html b/Documentation/Core/html/search/variables_61.html
new file mode 100644
index 0000000..ff1f937
--- /dev/null
+++ b/Documentation/Core/html/search/variables_61.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="variables_61.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/Core/html/search/variables_61.js b/Documentation/Core/html/search/variables_61.js
new file mode 100644
index 0000000..1a8097a
--- /dev/null
+++ b/Documentation/Core/html/search/variables_61.js
@@ -0,0 +1,8 @@
+var searchData=
+[
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new file mode 100644
index 0000000..c55a15e
--- /dev/null
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+<script type="text/javascript" src="search.js"></script>
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+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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new file mode 100644
index 0000000..f7fe206
--- /dev/null
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new file mode 100644
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+<script type="text/javascript" src="search.js"></script>
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new file mode 100644
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--- /dev/null
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<script type="text/javascript" src="search.js"></script>
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+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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diff --git a/Documentation/Core/html/search/variables_64.js b/Documentation/Core/html/search/variables_64.js
new file mode 100644
index 0000000..c545d18
--- /dev/null
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+var searchData=
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<script type="text/javascript" src="search.js"></script>
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+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
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+document.getElementById("NoMatches").style.display="none";
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diff --git a/Documentation/Core/html/search/variables_65.js b/Documentation/Core/html/search/variables_65.js
new file mode 100644
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<script type="text/javascript" src="variables_66.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="Searching">Searching...</div>
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diff --git a/Documentation/Core/html/search/variables_66.js b/Documentation/Core/html/search/variables_66.js
new file mode 100644
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@@ -0,0 +1,17 @@
+var searchData=
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new file mode 100644
index 0000000..f11c2c9
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="variables_68.js"></script>
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+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+<div class="SRStatus" id="NoMatches">No Matches</div>
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+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
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+</body>
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diff --git a/Documentation/Core/html/search/variables_68.js b/Documentation/Core/html/search/variables_68.js
new file mode 100644
index 0000000..6473211
--- /dev/null
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+var searchData=
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<link rel="stylesheet" type="text/css" href="search.css"/>
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+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
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+<div id="SRResults"></div>
+<script type="text/javascript"><!--
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+document.getElementById("NoMatches").style.display="none";
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diff --git a/Documentation/Core/html/search/variables_69.js b/Documentation/Core/html/search/variables_69.js
new file mode 100644
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--- /dev/null
+++ b/Documentation/Core/html/search/variables_69.js
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new file mode 100644
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diff --git a/Documentation/Core/html/startup_s_pg.html b/Documentation/Core/html/startup_s_pg.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Startup File startup_&lt;device&gt;.s</title>
+<title>CMSIS-CORE: Startup File startup_&lt;device&gt;.s</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
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+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<div class="title">Startup File startup_&lt;device&gt;.s </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The <a class="el" href="startup_s_pg.html">Startup File startup_&lt;device&gt;.s</a> contains:</p>
+<ul>
+<li>The reset handler which is executed after CPU reset and typically calls the <a class="el" href="group__system__init__gr.html#ga93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> function.</li>
+<li>The setup values for the Main Stack Pointer (MSP).</li>
+<li>Exception vectors of the Cortex-M Processor with weak functions that implement default routines.</li>
+<li>Interrupt vectors that are device specific with weak functions that implement default routines.</li>
+</ul>
+<p>The file exists for each supported toolchain and is the only tool-chain specific CMSIS file.</p>
+<p>To adapt the file to a new device only the interrupt vector table needs to be extended with the device-specific interrupt handlers. The naming convention for the interrupt handler names are &lt;interrupt_name&gt;_IRQHandler. This table needs to be consistent with <a class="el" href="group___n_v_i_c__gr.html#ga7e1129cd8a196f4284d41db3e82ad5c8">IRQn_Type</a> that defines all the IRQ numbers for each interrupt.</p>
+<p><b>Example:</b> </p>
+<p>The following example shows the extension of the interrupt vector table for the LPC1100 device family.</p>
+<div class="fragment"><div class="line">                ; External Interrupts</div>
+<div class="line">                DCD     WAKEUP0_IRQHandler       ; 16+ 0: Wakeup PIO0.0</div>
+<div class="line">                DCD     WAKEUP1_IRQHandler       ; 16+ 1: Wakeup PIO0.1</div>
+<div class="line">                DCD     WAKEUP2_IRQHandler       ; 16+ 2: Wakeup PIO0.2</div>
+<div class="line">                 :       :</div>
+<div class="line">                 :       :</div>
+<div class="line">                DCD     EINT1_IRQHandler         ; 16+30: PIO INT1</div>
+<div class="line">                DCD     EINT0_IRQHandler         ; 16+31: PIO INT0</div>
+<div class="line">         :  </div>
+<div class="line">         :</div>
+<div class="line">                EXPORT  WAKEUP0_IRQHandler       [WEAK]</div>
+<div class="line">                EXPORT  WAKEUP1_IRQHandler       [WEAK]</div>
+<div class="line">                EXPORT  WAKEUP2_IRQHandler       [WEAK]</div>
+<div class="line">                 :       :</div>
+<div class="line">                 :       :                                               </div>
+<div class="line">                EXPORT  EINT1_IRQHandler         [WEAK]</div>
+<div class="line">                EXPORT  EINT0_IRQHandler         [WEAK]</div>
+<div class="line"></div>
+<div class="line">WAKEUP0_IRQHandler</div>
+<div class="line">WAKEUP1_IRQHandler</div>
+<div class="line">WAKEUP1_IRQHandler</div>
+<div class="line">      :</div>
+<div class="line">      :</div>
+<div class="line">EINT1_IRQHandler</div>
+<div class="line">EINT0_IRQHandler</div>
+<div class="line">                B       .</div>
+</div><!-- fragment --><h1><a class="anchor" id="startup_s_sec"></a>
+startup_Device.s Template File</h1>
+<p>The <a class="el" href="startup_s_pg.html#startup_s_sec">startup_Device.s Template File</a> for the Cortex-M3 and the ARMCC compiler is shown below. The files for other compiler vendors differ slightly in the syntax, but not in the overall structure.</p>
+<pre class="fragment">;/**************************************************************************//**
+; * @file     startup_&lt;Device&gt;.s
+; * @brief    CMSIS Cortex-M# Core Device Startup File for
+; *           Device &lt;Device&gt;
+; * @version  V3.10
+; * @date     23. November 2012
+; *
+; * @note
+; *
+; ******************************************************************************/
+;/* Copyright (c) 2012 ARM LIMITED
+;
+;   All rights reserved.
+;   Redistribution and use in source and binary forms, with or without
+;   modification, are permitted provided that the following conditions are met:
+;   - Redistributions of source code must retain the above copyright
+;     notice, this list of conditions and the following disclaimer.
+;   - Redistributions in binary form must reproduce the above copyright
+;     notice, this list of conditions and the following disclaimer in the
+;     documentation and/or other materials provided with the distribution.
+;   - Neither the name of ARM nor the names of its contributors may be used
+;     to endorse or promote products derived from this software without
+;     specific prior written permission.
+;   *
+;   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+;   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+;   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+;   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+;   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+;   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+;   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+;   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+;   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+;   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+;   POSSIBILITY OF SUCH DAMAGE.
+;   ---------------------------------------------------------------------------*/
+;/*
+;//-------- &lt;&lt;&lt; Use Configuration Wizard in Context Menu &gt;&gt;&gt; ------------------
+;*/
+
+
+; &lt;h&gt; Stack Configuration
+;   &lt;o&gt; Stack Size (in Bytes) &lt;0x0-0xFFFFFFFF:8&gt;
+; &lt;/h&gt;
+
+Stack_Size      EQU     0x00000400
+
+                AREA    STACK, NOINIT, READWRITE, ALIGN=3
+Stack_Mem       SPACE   Stack_Size
+__initial_sp
+
+
+; &lt;h&gt; Heap Configuration
+;   &lt;o&gt;  Heap Size (in Bytes) &lt;0x0-0xFFFFFFFF:8&gt;
+; &lt;/h&gt;
+
+Heap_Size       EQU     0x00000100
+
+                AREA    HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE   Heap_Size
+__heap_limit
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA    RESET, DATA, READONLY
+                EXPORT  __Vectors
+                EXPORT  __Vectors_End
+                EXPORT  __Vectors_Size
+
+__Vectors       DCD     __initial_sp              ; Top of Stack
+                DCD     Reset_Handler             ; Reset Handler
+                DCD     NMI_Handler               ; NMI Handler
+                DCD     HardFault_Handler         ; Hard Fault Handler
+                DCD     MemManage_Handler         ; MPU Fault Handler
+                DCD     BusFault_Handler          ; Bus Fault Handler
+                DCD     UsageFault_Handler        ; Usage Fault Handler
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     SVC_Handler               ; SVCall Handler
+                DCD     DebugMon_Handler          ; Debug Monitor Handler
+                DCD     0                         ; Reserved
+                DCD     PendSV_Handler            ; PendSV Handler
+                DCD     SysTick_Handler           ; SysTick Handler
+
+                ; External Interrupts
+; ToDo:  Add here the vectors for the device specific external interrupts handler
+                DCD     &lt;DeviceInterrupt&gt;_IRQHandler       ;  0: Default
+__Vectors_End
+
+__Vectors_Size  EQU     __Vectors_End - __Vectors
+
+                AREA    |.text|, CODE, READONLY
+
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT  Reset_Handler             [WEAK]
+                IMPORT  SystemInit
+                IMPORT  __main
+                LDR     R0, =SystemInit
+                BLX     R0
+                LDR     R0, =__main
+                BX      R0
+                ENDP
+
+
+; Dummy Exception Handlers (infinite loops which can be modified)
+
+NMI_Handler     PROC
+                EXPORT  NMI_Handler               [WEAK]
+                B       .
+                ENDP
+HardFault_Handler\
+                PROC
+                EXPORT  HardFault_Handler         [WEAK]
+                B       .
+                ENDP
+MemManage_Handler\
+                PROC
+                EXPORT  MemManage_Handler         [WEAK]
+                B       .
+                ENDP
+BusFault_Handler\
+                PROC
+                EXPORT  BusFault_Handler          [WEAK]
+                B       .
+                ENDP
+UsageFault_Handler\
+                PROC
+                EXPORT  UsageFault_Handler        [WEAK]
+                B       .
+                ENDP
+SVC_Handler     PROC
+                EXPORT  SVC_Handler               [WEAK]
+                B       .
+                ENDP
+DebugMon_Handler\
+                PROC
+                EXPORT  DebugMon_Handler          [WEAK]
+                B       .
+                ENDP
+PendSV_Handler\
+                PROC
+                EXPORT  PendSV_Handler            [WEAK]
+                B       .
+                ENDP
+SysTick_Handler\
+                PROC
+                EXPORT  SysTick_Handler           [WEAK]
+                B       .
+                ENDP
+
+Default_Handler PROC
+; ToDo:  Add here the export definition for the device specific external interrupts handler
+                EXPORT  &lt;DeviceInterrupt&gt;_IRQHandler         [WEAK]
+
+; ToDo:  Add here the names for the device specific external interrupts handler
+&lt;DeviceInterrupt&gt;_IRQHandler
+                B       .
+                ENDP
+
+
+                ALIGN
+
+
+; User Initial Stack &amp; Heap
+
+                IF      :DEF:__MICROLIB
+
+                EXPORT  __initial_sp
+                EXPORT  __heap_base
+                EXPORT  __heap_limit
+
+                ELSE
+
+                IMPORT  __use_two_region_memory
+                EXPORT  __user_initial_stackheap
+
+__user_initial_stackheap PROC
+                LDR     R0, =  Heap_Mem
+                LDR     R1, =(Stack_Mem + Stack_Size)
+                LDR     R2, = (Heap_Mem +  Heap_Size)
+                LDR     R3, = Stack_Mem
+                BX      LR
+                ENDP
+
+                ALIGN
+
+                ENDIF
+
+
+                END
+</pre> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_templates_pg.html">Template Files</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
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+<title>CMSIS-CORE: CoreDebug_Type Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
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+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<div class="title">CoreDebug_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Core Debug Register (CoreDebug).  
+</p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+  <ul>
+    <li class="navelem"><a class="el" href="struct_core_debug___type.html">CoreDebug_Type</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/Core/html/struct_core_debug___type.js b/Documentation/Core/html/struct_core_debug___type.js
new file mode 100644
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+    [ "DCRDR", "struct_core_debug___type.html#aab3cc92ef07bc1f04b3a3aa6db2c2d55", null ],
+    [ "DCRSR", "struct_core_debug___type.html#af907cf64577eaf927dac6787df6dd98b", null ],
+    [ "DEMCR", "struct_core_debug___type.html#aeb3126abc4c258a858f21f356c0df6ee", null ],
+    [ "DHCSR", "struct_core_debug___type.html#ad63554e4650da91a8e79929cbb63db66", null ]
+];
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
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+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">DWT_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Data Watchpoint and Trace Register (DWT).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">ITM_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Instrumentation Trace Macrocell Register (ITM).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:af4c205be465780a20098387120bdb482"><td class="memItemLeft" >union {</td></tr>
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+<tr class="memitem:ae907229ba50538bf370fbdfd54c099a2"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_i_t_m___type.html#ae907229ba50538bf370fbdfd54c099a2">TPR</a></td></tr>
+<tr class="memdesc:ae907229ba50538bf370fbdfd54c099a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0xE40 (R/W) ITM Trace Privilege Register.  <a href="#ae907229ba50538bf370fbdfd54c099a2"></a><br/></td></tr>
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+<tr class="memitem:af56b2f07bc6b42cd3e4d17e1b27cff7b"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_i_t_m___type.html#af56b2f07bc6b42cd3e4d17e1b27cff7b">RESERVED2</a> [15]</td></tr>
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+    <li class="navelem"><a class="el" href="struct_i_t_m___type.html">ITM_Type</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
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+<title>MPU_Type Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">MPU_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Memory Protection Unit (MPU).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+    [ "RBAR_A3", "struct_m_p_u___type.html#a345911aabecd1f7d93a1bff7738b0d86", null ],
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+<title>NVIC_Type Struct Reference</title>
+<title>CMSIS-CORE: NVIC_Type Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">NVIC_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Nested Vectored Interrupt Controller (NVIC).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a4bca5452748ba84d64536fb6a5d795af"></a>
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+</div>
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+<a class="anchor" id="a8d8f45d9c5c67bba3c153c55574bac95"></a>
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+    [ "IP", "struct_n_v_i_c___type.html#a7ff7364a4260df67a2784811e8da4efd", null ],
+    [ "ISER", "struct_n_v_i_c___type.html#a9fccef5a60a0d5e81fcd7869a6274f47", null ],
+    [ "ISPR", "struct_n_v_i_c___type.html#a8f731a9f428efc86e8d311b52ce823d0", null ],
+    [ "RESERVED0", "struct_n_v_i_c___type.html#a2de17698945ea49abd58a2d45bdc9c80", null ],
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+    [ "RESERVED5", "struct_n_v_i_c___type.html#a4f753b4f824270175af045ac99bc12e8", null ],
+    [ "RSERVED1", "struct_n_v_i_c___type.html#a6d1daf7ab6f2ba83f57ff67ae6f571fe", null ],
+    [ "STIR", "struct_n_v_i_c___type.html#a37de89637466e007171c6b135299bc75", null ]
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>SCB_Type Struct Reference</title>
+<title>CMSIS-CORE: SCB_Type Struct Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">SCB_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the System Control Block (SCB).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a21e08d546d8b641bee298a459ea73e46"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a21e08d546d8b641bee298a459ea73e46">CPUID</a></td></tr>
+<tr class="memdesc:a21e08d546d8b641bee298a459ea73e46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x000 (R/ ) CPUID Base Register.  <a href="#a21e08d546d8b641bee298a459ea73e46"></a><br/></td></tr>
+<tr class="separator:a21e08d546d8b641bee298a459ea73e46"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0ca18ef984d132c6bf4d9b61cd00f05a"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a0ca18ef984d132c6bf4d9b61cd00f05a">ICSR</a></td></tr>
+<tr class="memdesc:a0ca18ef984d132c6bf4d9b61cd00f05a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x004 (R/W) Interrupt Control and State Register.  <a href="#a0ca18ef984d132c6bf4d9b61cd00f05a"></a><br/></td></tr>
+<tr class="separator:a0ca18ef984d132c6bf4d9b61cd00f05a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a187a4578e920544ed967f98020fb8170"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x008 (R/W) Vector Table Offset Register.  <a href="#a187a4578e920544ed967f98020fb8170"></a><br/></td></tr>
+<tr class="separator:a187a4578e920544ed967f98020fb8170"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad3e5b8934c647eb1b7383c1894f01380"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#ad3e5b8934c647eb1b7383c1894f01380">AIRCR</a></td></tr>
+<tr class="memdesc:ad3e5b8934c647eb1b7383c1894f01380"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x00C (R/W) Application Interrupt and Reset Control Register.  <a href="#ad3e5b8934c647eb1b7383c1894f01380"></a><br/></td></tr>
+<tr class="separator:ad3e5b8934c647eb1b7383c1894f01380"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3a4840c6fa4d1ee75544f4032c88ec34"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a3a4840c6fa4d1ee75544f4032c88ec34">SCR</a></td></tr>
+<tr class="memdesc:a3a4840c6fa4d1ee75544f4032c88ec34"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x010 (R/W) System Control Register.  <a href="#a3a4840c6fa4d1ee75544f4032c88ec34"></a><br/></td></tr>
+<tr class="separator:a3a4840c6fa4d1ee75544f4032c88ec34"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2d6653b0b70faac936046a02809b577f"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a2d6653b0b70faac936046a02809b577f">CCR</a></td></tr>
+<tr class="memdesc:a2d6653b0b70faac936046a02809b577f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x014 (R/W) Configuration Control Register.  <a href="#a2d6653b0b70faac936046a02809b577f"></a><br/></td></tr>
+<tr class="separator:a2d6653b0b70faac936046a02809b577f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a85768f4b3dbbc41fd760041ee1202162"><td class="memItemLeft" align="right" valign="top">__IOM uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a85768f4b3dbbc41fd760041ee1202162">SHP</a> [12]</td></tr>
+<tr class="memdesc:a85768f4b3dbbc41fd760041ee1202162"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x018 (R/W) System Handlers Priority Registers (4-7, 8-11, 12-15)  <a href="#a85768f4b3dbbc41fd760041ee1202162"></a><br/></td></tr>
+<tr class="separator:a85768f4b3dbbc41fd760041ee1202162"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7b5ae9741a99808043394c4743b635c4"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a7b5ae9741a99808043394c4743b635c4">SHCSR</a></td></tr>
+<tr class="memdesc:a7b5ae9741a99808043394c4743b635c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x024 (R/W) System Handler Control and State Register.  <a href="#a7b5ae9741a99808043394c4743b635c4"></a><br/></td></tr>
+<tr class="separator:a7b5ae9741a99808043394c4743b635c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0cda9e061b42373383418663092ad19a"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a0cda9e061b42373383418663092ad19a">CFSR</a></td></tr>
+<tr class="memdesc:a0cda9e061b42373383418663092ad19a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x028 (R/W) Configurable Fault Status Register.  <a href="#a0cda9e061b42373383418663092ad19a"></a><br/></td></tr>
+<tr class="separator:a0cda9e061b42373383418663092ad19a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14ad254659362b9752c69afe3fd80934"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a14ad254659362b9752c69afe3fd80934">HFSR</a></td></tr>
+<tr class="memdesc:a14ad254659362b9752c69afe3fd80934"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x02C (R/W) HardFault Status Register.  <a href="#a14ad254659362b9752c69afe3fd80934"></a><br/></td></tr>
+<tr class="separator:a14ad254659362b9752c69afe3fd80934"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a191579bde0d21ff51d30a714fd887033"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a191579bde0d21ff51d30a714fd887033">DFSR</a></td></tr>
+<tr class="memdesc:a191579bde0d21ff51d30a714fd887033"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x030 (R/W) Debug Fault Status Register.  <a href="#a191579bde0d21ff51d30a714fd887033"></a><br/></td></tr>
+<tr class="separator:a191579bde0d21ff51d30a714fd887033"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2d03d0b7cec2254f39eb1c46c7445e80"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a2d03d0b7cec2254f39eb1c46c7445e80">MMFAR</a></td></tr>
+<tr class="memdesc:a2d03d0b7cec2254f39eb1c46c7445e80"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x034 (R/W) MemManage Fault Address Register.  <a href="#a2d03d0b7cec2254f39eb1c46c7445e80"></a><br/></td></tr>
+<tr class="separator:a2d03d0b7cec2254f39eb1c46c7445e80"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f8e7e58be4e41c88dfa78f54589271c"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a3f8e7e58be4e41c88dfa78f54589271c">BFAR</a></td></tr>
+<tr class="memdesc:a3f8e7e58be4e41c88dfa78f54589271c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x038 (R/W) BusFault Address Register.  <a href="#a3f8e7e58be4e41c88dfa78f54589271c"></a><br/></td></tr>
+<tr class="separator:a3f8e7e58be4e41c88dfa78f54589271c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab65372404ce64b0f0b35e2709429404e"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#ab65372404ce64b0f0b35e2709429404e">AFSR</a></td></tr>
+<tr class="memdesc:ab65372404ce64b0f0b35e2709429404e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x03C (R/W) Auxiliary Fault Status Register.  <a href="#ab65372404ce64b0f0b35e2709429404e"></a><br/></td></tr>
+<tr class="separator:ab65372404ce64b0f0b35e2709429404e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a681c9d9e518b217976bef38c2423d83d"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a681c9d9e518b217976bef38c2423d83d">PFR</a> [2]</td></tr>
+<tr class="memdesc:a681c9d9e518b217976bef38c2423d83d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x040 (R/ ) Processor Feature Register.  <a href="#a681c9d9e518b217976bef38c2423d83d"></a><br/></td></tr>
+<tr class="separator:a681c9d9e518b217976bef38c2423d83d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a85dd6fe77aab17e7ea89a52c59da6004"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#a85dd6fe77aab17e7ea89a52c59da6004">DFR</a></td></tr>
+<tr class="memdesc:a85dd6fe77aab17e7ea89a52c59da6004"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x048 (R/ ) Debug Feature Register.  <a href="#a85dd6fe77aab17e7ea89a52c59da6004"></a><br/></td></tr>
+<tr class="separator:a85dd6fe77aab17e7ea89a52c59da6004"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af084e1b2dad004a88668efea1dfe7fa1"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#af084e1b2dad004a88668efea1dfe7fa1">ADR</a></td></tr>
+<tr class="memdesc:af084e1b2dad004a88668efea1dfe7fa1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x04C (R/ ) Auxiliary Feature Register.  <a href="#af084e1b2dad004a88668efea1dfe7fa1"></a><br/></td></tr>
+<tr class="separator:af084e1b2dad004a88668efea1dfe7fa1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa11887804412bda283cc85a83fdafa7c"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#aa11887804412bda283cc85a83fdafa7c">MMFR</a> [4]</td></tr>
+<tr class="memdesc:aa11887804412bda283cc85a83fdafa7c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x050 (R/ ) Memory Model Feature Register.  <a href="#aa11887804412bda283cc85a83fdafa7c"></a><br/></td></tr>
+<tr class="separator:aa11887804412bda283cc85a83fdafa7c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae0136a2d2d3c45f016b2c449e92b2066"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#ae0136a2d2d3c45f016b2c449e92b2066">ISAR</a> [5]</td></tr>
+<tr class="memdesc:ae0136a2d2d3c45f016b2c449e92b2066"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x060 (R/ ) Instruction Set Attributes Register.  <a href="#ae0136a2d2d3c45f016b2c449e92b2066"></a><br/></td></tr>
+<tr class="separator:ae0136a2d2d3c45f016b2c449e92b2066"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac89a5d9901e3748d22a7090bfca2bee6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#ac89a5d9901e3748d22a7090bfca2bee6">RESERVED0</a> [5]</td></tr>
+<tr class="memdesc:ac89a5d9901e3748d22a7090bfca2bee6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reserved.  <a href="#ac89a5d9901e3748d22a7090bfca2bee6"></a><br/></td></tr>
+<tr class="separator:ac89a5d9901e3748d22a7090bfca2bee6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac6a860c1b8d8154a1f00d99d23b67764"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_s_c_b___type.html#ac6a860c1b8d8154a1f00d99d23b67764">CPACR</a></td></tr>
+<tr class="memdesc:ac6a860c1b8d8154a1f00d99d23b67764"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x088 (R/W) Coprocessor Access Control Register.  <a href="#ac6a860c1b8d8154a1f00d99d23b67764"></a><br/></td></tr>
+<tr class="separator:ac6a860c1b8d8154a1f00d99d23b67764"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af084e1b2dad004a88668efea1dfe7fa1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__IM uint32_t SCB_Type::ADR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ab65372404ce64b0f0b35e2709429404e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__IOM uint32_t SCB_Type::AFSR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ad3e5b8934c647eb1b7383c1894f01380"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname">__IOM uint32_t SCB_Type::AIRCR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a3f8e7e58be4e41c88dfa78f54589271c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__IOM uint32_t SCB_Type::BFAR</td>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a2d6653b0b70faac936046a02809b577f"></a>
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+          <td class="memname">__IOM uint32_t SCB_Type::CCR</td>
+        </tr>
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+
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+</div>
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+          <td class="memname">__IOM uint32_t SCB_Type::CFSR</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ac6a860c1b8d8154a1f00d99d23b67764"></a>
+<div class="memitem">
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+        <tr>
+          <td class="memname">__IOM uint32_t SCB_Type::CPACR</td>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a21e08d546d8b641bee298a459ea73e46"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname">__IM uint32_t SCB_Type::CPUID</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a85dd6fe77aab17e7ea89a52c59da6004"></a>
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+<div class="memproto">
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+        <tr>
+          <td class="memname">__IM uint32_t SCB_Type::DFR</td>
+        </tr>
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+
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+<a class="anchor" id="a191579bde0d21ff51d30a714fd887033"></a>
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+<div class="memproto">
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+          <td class="memname">__IOM uint32_t SCB_Type::DFSR</td>
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+
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+</div>
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+          <td class="memname">__IOM uint32_t SCB_Type::HFSR</td>
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+          <td class="memname">__IOM uint32_t SCB_Type::ICSR</td>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ae0136a2d2d3c45f016b2c449e92b2066"></a>
+<div class="memitem">
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+        <tr>
+          <td class="memname">__IM uint32_t SCB_Type::ISAR[5]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
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+   <div id="projectname">CMSIS-CORE
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+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<div class="contents">
+
+<p>Structure type to access the System Control and ID Register not in the SCB.  
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+$(document).ready(function(){initNavTree('struct_sys_tick___type.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">SysTick_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the System Timer (SysTick).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a875e7afa5c4fd43997fb544a4ac6e37e"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_sys_tick___type.html#a875e7afa5c4fd43997fb544a4ac6e37e">CTRL</a></td></tr>
+<tr class="memdesc:a875e7afa5c4fd43997fb544a4ac6e37e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x000 (R/W) SysTick Control and Status Register.  <a href="#a875e7afa5c4fd43997fb544a4ac6e37e"></a><br/></td></tr>
+<tr class="separator:a875e7afa5c4fd43997fb544a4ac6e37e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4780a489256bb9f54d0ba8ed4de191cd"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_sys_tick___type.html#a4780a489256bb9f54d0ba8ed4de191cd">LOAD</a></td></tr>
+<tr class="memdesc:a4780a489256bb9f54d0ba8ed4de191cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x004 (R/W) SysTick Reload Value Register.  <a href="#a4780a489256bb9f54d0ba8ed4de191cd"></a><br/></td></tr>
+<tr class="separator:a4780a489256bb9f54d0ba8ed4de191cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9b5420d17e8e43104ddd4ae5a610af93"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_sys_tick___type.html#a9b5420d17e8e43104ddd4ae5a610af93">VAL</a></td></tr>
+<tr class="memdesc:a9b5420d17e8e43104ddd4ae5a610af93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x008 (R/W) SysTick Current Value Register.  <a href="#a9b5420d17e8e43104ddd4ae5a610af93"></a><br/></td></tr>
+<tr class="separator:a9b5420d17e8e43104ddd4ae5a610af93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afcadb0c6d35b21cdc0018658a13942de"><td class="memItemLeft" align="right" valign="top">__IM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_sys_tick___type.html#afcadb0c6d35b21cdc0018658a13942de">CALIB</a></td></tr>
+<tr class="memdesc:afcadb0c6d35b21cdc0018658a13942de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x00C (R/ ) SysTick Calibration Register.  <a href="#afcadb0c6d35b21cdc0018658a13942de"></a><br/></td></tr>
+<tr class="separator:afcadb0c6d35b21cdc0018658a13942de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="afcadb0c6d35b21cdc0018658a13942de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">__IM uint32_t SysTick_Type::CALIB</td>
+        </tr>
+      </table>
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+
+</div>
+</div>
+<a class="anchor" id="a875e7afa5c4fd43997fb544a4ac6e37e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">__IOM uint32_t SysTick_Type::CTRL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a4780a489256bb9f54d0ba8ed4de191cd"></a>
+<div class="memitem">
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+          <td class="memname">__IOM uint32_t SysTick_Type::LOAD</td>
+        </tr>
+      </table>
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+
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+<a class="anchor" id="a9b5420d17e8e43104ddd4ae5a610af93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">__IOM uint32_t SysTick_Type::VAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="struct_sys_tick___type.html">SysTick_Type</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/Core/html/struct_sys_tick___type.js b/Documentation/Core/html/struct_sys_tick___type.js
new file mode 100644
index 0000000..8833522
--- /dev/null
+++ b/Documentation/Core/html/struct_sys_tick___type.js
@@ -0,0 +1,7 @@
+var struct_sys_tick___type =
+[
+    [ "CALIB", "struct_sys_tick___type.html#afcadb0c6d35b21cdc0018658a13942de", null ],
+    [ "CTRL", "struct_sys_tick___type.html#a875e7afa5c4fd43997fb544a4ac6e37e", null ],
+    [ "LOAD", "struct_sys_tick___type.html#a4780a489256bb9f54d0ba8ed4de191cd", null ],
+    [ "VAL", "struct_sys_tick___type.html#a9b5420d17e8e43104ddd4ae5a610af93", null ]
+];
\ No newline at end of file
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>TPI_Type Struct Reference</title>
+<title>CMSIS-CORE: TPI_Type Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">TPI_Type Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure type to access the Trace Port Interface Register (TPI).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<tr class="memitem:a7b72598e20066133e505bb781690dc22"><td class="memItemLeft" align="right" valign="top">__IOM uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_t_p_i___type.html#a7b72598e20066133e505bb781690dc22">SSPSR</a></td></tr>
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+<tr class="separator:a6c47a0b4c7ffc66093ef993d36bb441c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a3f68b6e73561b4849ebf953a894df8d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad6901bfd8a0089ca7e8a20475cf494a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Offset: 0x308 (R/ ) Formatter Synchronization Counter Register.  <a href="#ad6901bfd8a0089ca7e8a20475cf494a8"></a><br/></td></tr>
+<tr class="separator:ad6901bfd8a0089ca7e8a20475cf494a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="a9e5e4421ef9c3d5b7ff8b24abd4e99b3"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname">__IOM uint32_t TPI_Type::CSPSR</td>
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+          <td class="memname">__IM uint32_t TPI_Type::FIFO0</td>
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+<a class="anchor" id="a061372fcd72f1eea871e2d9c1be849bc"></a>
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+          <td class="memname">__IM uint32_t TPI_Type::FIFO1</td>
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+          <td class="memname">__IM uint32_t TPI_Type::FSCR</td>
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+          <td class="memname">__IM uint32_t TPI_Type::ITATBCTR0</td>
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+          <td class="memname">__IM uint32_t TPI_Type::ITATBCTR2</td>
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+          <td class="memname">__IOM uint32_t TPI_Type::ITCTRL</td>
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+      <table class="memname">
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+          <td class="memname">uint32_t TPI_Type::RESERVED0[2]</td>
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new file mode 100644
index 0000000..e95d25f
--- /dev/null
+++ b/Documentation/Core/html/struct_t_p_i___type.js
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+    [ "ITATBCTR2", "struct_t_p_i___type.html#ab358319b969d3fed0f89bbe33e9f1652", null ],
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</title>
+<title>CMSIS-CORE: System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('system_c_pg.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The <a class="el" href="system_c_pg.html">System Configuration Files system_&lt;device&gt;.c and system_&lt;device&gt;.h</a> provides as a minimum the functions described under <a class="el" href="group__system__init__gr.html">System and Clock Configuration</a>. These functions are device specific and need adaptations. In addition, the file might have configuration settings for the device such as XTAL frequency or PLL prescaler settings.</p>
+<p>For devices with external memory BUS the system_&lt;device&gt;.c also configures the BUS system.</p>
+<p>The silicon vendor might expose other functions (i.e. for power configuration) in the system_&lt;device&gt;.c file. In case of additional features the function prototypes need to be added to the system_&lt;device&gt;.h header file.</p>
+<h1><a class="anchor" id="system_Device_sec"></a>
+system_Device.c Template File</h1>
+<p>The <a class="el" href="system_c_pg.html#system_Device_sec">system_Device.c Template File</a> for the Cortex-M3 is shown below.</p>
+<pre class="fragment">/**************************************************************************//**
+ * @file     system_&lt;Device&gt;.c
+ * @brief    CMSIS Cortex-M# Device Peripheral Access Layer Source File for
+ *           Device &lt;Device&gt;
+ * @version  V3.10
+ * @date     23. November 2012
+ *
+ * @note
+ *
+ ******************************************************************************/
+/* Copyright (c) 2012 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#include &lt;stdint.h&gt;
+#include "&lt;Device&gt;.h"
+
+
+/*----------------------------------------------------------------------------
+  DEFINES
+ *----------------------------------------------------------------------------*/
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+/* ToDo: add here your necessary defines for device initialization
+         following is an example for different system frequencies             */
+#define __HSI             ( 6000000UL)
+#define __XTAL            (12000000UL)    /* Oscillator frequency             */
+#define __SYS_OSC_CLK     (    ___HSI)    /* Main oscillator frequency        */
+
+#define __SYSTEM_CLOCK    (4*__XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Clock Variable definitions
+ *----------------------------------------------------------------------------*/
+/* ToDo: initialize SystemCoreClock with the system core clock frequency value
+         achieved after system intitialization.
+         This means system core clock frequency after call to SystemInit()    */
+uint32_t SystemCoreClock = __SYSTEM_CLOCK;  /*!&lt; System Clock Frequency (Core Clock)*/
+
+
+/*----------------------------------------------------------------------------
+  Clock functions
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)            /* Get Core Clock Frequency      */
+{
+/* ToDo: add code to calculate the system frequency based upon the current
+         register settings.
+         This function can be used to retrieve the system core clock frequeny
+         after user changed register sittings.                                */
+  SystemCoreClock = __SYSTEM_CLOCK;
+}
+
+/**
+ * Initialize the system
+ *
+ * @param  none
+ * @return none
+ *
+ * @brief  Setup the microcontroller system.
+ *         Initialize the System.
+ */
+void SystemInit (void)
+{
+/* ToDo: add code to initialize the system
+         do not use global variables because this function is called before
+         reaching pre-main. RW section maybe overwritten afterwards.          */
+  SystemCoreClock = __SYSTEM_CLOCK;
+}
+</pre><h1><a class="anchor" id="system_Device_h_sec"></a>
+system_Device.h Template File</h1>
+<p>The system_&lt;device&gt;.h header file contains prototypes to access the public functions in the system_&lt;device&gt;.c file. The <a class="el" href="system_c_pg.html#system_Device_h_sec">system_Device.h Template File</a> is shown below.</p>
+<pre class="fragment">/**************************************************************************//**
+ * @file     system_&lt;Device&gt;.h
+ * @brief    CMSIS Cortex-M# Device Peripheral Access Layer Header File for
+ *           Device &lt;Device&gt;
+ * @version  V3.10
+ * @date     23. November 2012
+ *
+ * @note
+ *
+ ******************************************************************************/
+/* Copyright (c) 2012 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#ifndef SYSTEM_&lt;Device&gt;_H   /* ToDo: replace '&lt;Device&gt;' with your device name */
+#define SYSTEM_&lt;Device&gt;_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include &lt;stdint.h&gt;
+
+extern uint32_t SystemCoreClock;     /*!&lt; System Clock Frequency (Core Clock)  */
+
+
+/**
+ * Initialize the system
+ *
+ * @param  none
+ * @return none
+ *
+ * @brief  Setup the microcontroller system.
+ *         Initialize the System and update the SystemCoreClock variable.
+ */
+extern void SystemInit (void);
+
+/**
+ * Update SystemCoreClock variable
+ *
+ * @param  none
+ * @return none
+ *
+ * @brief  Updates the SystemCoreClock with current core Clock
+ *         retrieved from cpu registers.
+ */
+extern void SystemCoreClockUpdate (void);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* SYSTEM_&lt;Device&gt;_H */
+</pre> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="_templates_pg.html">Template Files</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:21 for CMSIS-CORE by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-CORE: APSR_Type Union Reference</title>
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
+   </div>
+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<title>CMSIS-CORE: CONTROL_Type Union Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-CORE
+   &#160;<span id="projectnumber">Version 4.30</span>
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+   <div id="projectbrief">CMSIS-CORE support for Cortex-M processor-based devices</div>
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+<p>Union type to access the Control Registers (CONTROL).  
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+<p>Union type to access the Interrupt Program Status Register (IPSR).  
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+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">xPSR_Type Union Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Union type to access the Special-Purpose Program Status Registers (xPSR).  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<tr class="separator:a3bd39c4335d84be071cc1eaa9b0a8642"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a798cf43a3725d7df2fcaf3f328969f53"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a></td></tr>
+<tr class="separator:a798cf43a3725d7df2fcaf3f328969f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a9d89ac0707e7c9363544986d47a70bd3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMSTUDENTS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a15">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7b02f9b34bf2cd4d12633f5bf30771ec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMSUBJECTS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a16">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a1">arm_class_marks_example_f32.c</a>, <a class="el" href="arm_fft_bin_example_f32_8c-example.html#a1">arm_fft_bin_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a1">arm_fir_example_f32.c</a>, <a class="el" href="arm_linear_interp_example_f32_8c-example.html#a1">arm_linear_interp_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a7">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="a821d6c5973940580f5a045e7cf64b7f2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define USE_STATIC_INIT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a196718f834091385d38586a0ce4009dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a12">arm_class_marks_example_f32.c</a>, <a class="el" href="arm_convolution_example_f32_8c-example.html#a11">arm_convolution_example_f32.c</a>, <a class="el" href="arm_dotproduct_example_f32_8c-example.html#a7">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_fft_bin_example_f32_8c-example.html#a8">arm_fft_bin_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a11">arm_fir_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a15">arm_graphic_equalizer_example_q31.c</a>, <a class="el" href="arm_linear_interp_example_f32_8c-example.html#a8">arm_linear_interp_example_f32.c</a>, <a class="el" href="arm_matrix_example_f32_8c-example.html#a8">arm_matrix_example_f32.c</a>, <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a21">arm_signal_converge_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a10">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a7">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32()</a>, <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32()</a>, <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32()</a>, <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32()</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">max_marks</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">min_marks</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">NUMSTUDENTS</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">NUMSUBJECTS</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">numSubjects</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">std</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">testMarks_f32</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aad32888fa966b3d9db9c31bcbba9d9ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> max_marks</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a6">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc9290716b3c97381ce52d14b4b01681"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> mean</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a8">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a9">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32()</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abb7687fa07ec54d8e792cfcbfe2ca809"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> min_marks</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a7">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab3b66d06b4af1af4ea2740d0ccf4e7bd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t numStudents</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a4">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d01884f63bcb694226ca7c24980757a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t numSubjects</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a5">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a150b0cf729b51893379f5b5548d4f989"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> std</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a9">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a798cf43a3725d7df2fcaf3f328969f53"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t student_num</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a11">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0153222efa82b7f1a0ea3835921bf921"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testMarks_f32[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a0">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd4d61aad5f35a4e42d580004e2f9a1d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a3">arm_class_marks_example_f32.c</a>, <a class="el" href="arm_dotproduct_example_f32_8c-example.html#a5">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_fft_bin_example_f32_8c-example.html#a2">arm_fft_bin_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a3">arm_fir_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a2">arm_graphic_equalizer_example_q31.c</a>, <a class="el" href="arm_linear_interp_example_f32_8c-example.html#a3">arm_linear_interp_example_f32.c</a>, and <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a4">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a993b9b2a1faf43b319c1c6d58b26e7a1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testUnity_f32[4]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a2">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3bd39c4335d84be071cc1eaa9b0a8642"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> var</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a10">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html">arm_class_marks_example_f32.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:31 for CMSIS-DSP by ARM Ltd. All rights reserved.
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diff --git a/Documentation/DSP/html/_a_r_m_2arm__convolution__example__f32_8c.html b/Documentation/DSP/html/_a_r_m_2arm__convolution__example__f32_8c.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/_a_r_m_2arm__convolution__example__f32_8c.html
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">ARM/arm_convolution_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a></td></tr>
+<tr class="separator:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a52d2cba30e6946c95578be946ac12a65"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main</a> (void)</td></tr>
+<tr class="separator:a52d2cba30e6946c95578be946ac12a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
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+<tr class="separator:aed74eacd4b96cc7f71b64d18f2e95705"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a88a0167516ae7ed66203fd60e6ddeea3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
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+<tr class="separator:a13521f3164dc55679f43b7cb2e41e098"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7db2f016e1afcb524a2fdc3c5a3cb640"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acb22287e7e096b677e352dfd363ba60d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">testInputB_f32</a> [64]</td></tr>
+<tr class="separator:acb22287e7e096b677e352dfd363ba60d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7ede41b07b8766013744c8fdbb80af75"><td class="memItemLeft" align="right" valign="top">const float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a> [127]</td></tr>
+<tr class="separator:a7ede41b07b8766013744c8fdbb80af75"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace48ed566e2cd6a680f0681192e6af28"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a></td></tr>
+<tr class="separator:ace48ed566e2cd6a680f0681192e6af28"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aea71286f498978c5ed3775609b974fc8"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a></td></tr>
+<tr class="separator:aea71286f498978c5ed3775609b974fc8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9c49c44c8bc5c432d220d33a26b4b589"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">outLen</a></td></tr>
+<tr class="separator:a9c49c44c8bc5c432d220d33a26b4b589"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af06013f588a7003278de222913c9d819"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a></td></tr>
+<tr class="separator:af06013f588a7003278de222913c9d819"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a10">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a15">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a16">arm_variance_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define MAX_BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a1">arm_convolution_example_f32.c</a>, <a class="el" href="arm_dotproduct_example_f32_8c-example.html#a1">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a1">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a1">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af08ec3fef897d77c6817638bf0e0c5c6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define SNR_THRESHOLD</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a20">arm_convolution_example_f32.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#a16">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>, <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___cmplx_by_cmplx_mult.html#ga14b47080054a1ba1250a86805be1ff6b">arm_cmplx_mult_cmplx_f32()</a>, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32()</a>, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">outLen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">testInputA_f32</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">testInputB_f32</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aed74eacd4b96cc7f71b64d18f2e95705"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ak[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a0">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a13521f3164dc55679f43b7cb2e41e098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> AxB[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a> *2]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a3">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a88a0167516ae7ed66203fd60e6ddeea3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Bk[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a2">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9c49c44c8bc5c432d220d33a26b4b589"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t outLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a9">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af06013f588a7003278de222913c9d819"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a10">arm_convolution_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a10">arm_fir_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a14">arm_graphic_equalizer_example_q31.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#a7">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace48ed566e2cd6a680f0681192e6af28"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t srcALen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a7">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32()</a>, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15()</a>, <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_conv_fast_q31()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_conv_partial_f32()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15()</a>, <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15()</a>, <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31()</a>, <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7()</a>, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15()</a>, <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_conv_q31()</a>, <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_conv_q7()</a>, <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_correlate_f32()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15()</a>, <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_correlate_fast_q31()</a>, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7()</a>, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15()</a>, <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_correlate_q31()</a>, <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_correlate_q7()</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aea71286f498978c5ed3775609b974fc8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t srcBLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a8">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32()</a>, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15()</a>, <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_conv_fast_q31()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_conv_partial_f32()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15()</a>, <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15()</a>, <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31()</a>, <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7()</a>, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15()</a>, <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_conv_q31()</a>, <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_conv_q7()</a>, <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_correlate_f32()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15()</a>, <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_correlate_fast_q31()</a>, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7()</a>, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15()</a>, <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_correlate_q31()</a>, <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_correlate_q7()</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7db2f016e1afcb524a2fdc3c5a3cb640"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInputA_f32[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a4">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acb22287e7e096b677e352dfd363ba60d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInputB_f32[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a5">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ede41b07b8766013744c8fdbb80af75"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const float testRefOutput_f32[127]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a6">arm_convolution_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a3">arm_graphic_equalizer_example_q31.c</a>, and <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a2">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
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+<div class="title">ARM/arm_dotproduct_example_f32.c File Reference</div>  </div>
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+Macros</h2></td></tr>
+<tr class="memitem:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a></td></tr>
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+<tr class="memitem:a3fd2b1bcd7ddcf506237987ad780f495"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a></td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a52d2cba30e6946c95578be946ac12a65"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main</a> (void)</td></tr>
+<tr class="separator:a52d2cba30e6946c95578be946ac12a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:a0c248a472fdc0507e4ab7d693e4876b6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">srcA_buf_f32</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
+<tr class="separator:a0c248a472fdc0507e4ab7d693e4876b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a67d9082c1585d4854ae9ca38db170ff5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">srcB_buf_f32</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
+<tr class="separator:a67d9082c1585d4854ae9ca38db170ff5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad57c1f9ad68d098d79b15ec6844a26fc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">refDotProdOut</a></td></tr>
+<tr class="separator:ad57c1f9ad68d098d79b15ec6844a26fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad0bfd425dfe1ff2bda80fb957e464098"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
+<tr class="separator:ad0bfd425dfe1ff2bda80fb957e464098"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a324833b61eae796082e07d078a67c34f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">testOutput</a></td></tr>
+<tr class="separator:a324833b61eae796082e07d078a67c34f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a88ccb294236ab22b00310c47164c53c3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a></td></tr>
+<tr class="separator:a88ccb294236ab22b00310c47164c53c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define MAX_BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">refDotProdOut</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">srcA_buf_f32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">srcB_buf_f32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ad0bfd425dfe1ff2bda80fb957e464098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> multOutput[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a4">arm_dotproduct_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad57c1f9ad68d098d79b15ec6844a26fc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> refDotProdOut</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a3">arm_dotproduct_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0c248a472fdc0507e4ab7d693e4876b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> srcA_buf_f32[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a0">arm_dotproduct_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a67d9082c1585d4854ae9ca38db170ff5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> srcB_buf_f32[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a2">arm_dotproduct_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a88ccb294236ab22b00310c47164c53c3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> status</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a12">arm_convolution_example_f32.c</a>, <a class="el" href="arm_dotproduct_example_f32_8c-example.html#a6">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_fft_bin_example_f32_8c-example.html#a9">arm_fft_bin_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a13">arm_fir_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a18">arm_graphic_equalizer_example_q31.c</a>, <a class="el" href="arm_linear_interp_example_f32_8c-example.html#a9">arm_linear_interp_example_f32.c</a>, <a class="el" href="arm_matrix_example_f32_8c-example.html#a10">arm_matrix_example_f32.c</a>, <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a22">arm_signal_converge_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a9">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a8">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_conv_partial_f32()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15()</a>, <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15()</a>, <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31()</a>, <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32()</a>, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31()</a>, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15()</a>, <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32()</a>, <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15()</a>, <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31()</a>, <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32()</a>, <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15()</a>, <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15()</a>, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31()</a>, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32()</a>, <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15()</a>, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31()</a>, <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15()</a>, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31()</a>, <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32()</a>, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15()</a>, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31()</a>, <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32()</a>, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15()</a>, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31()</a>, <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32()</a>, <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15()</a>, <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31()</a>, <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>, <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>, <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a324833b61eae796082e07d078a67c34f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+      <table class="memname">
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+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__const__structs_8c.html#a05abc294a9159abbd6ffb4f188fe18b1">arm_cfft_sR_f32_len1024</a>, <a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213">arm_cmplx_mag_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32()</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">doBitReverse</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">refIndex</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a>, <a class="el" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">testInput_f32_10khz</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a4d2e31c38e8172505e0a369a6898657d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t doBitReverse</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a5">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9b500899c581f6df3ffc0a9f3a9ef6aa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t fftSize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a3">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a379ccb99013d369a41b49619083c16ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a4">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aec50b0f697fd9e7e7e244487a4bd57e4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t refIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a6">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a391651dbb95db35ccba70fc4f9e049"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t testIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a7">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d8ecb82590486ceebccc76263963b16"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInput_f32_10khz[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aaaf907bde12051bc8bb5d48b7d315a35"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>/2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Change Log </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><hr/>
+ <b>Version 1.4.7 (no source code change [still labeled 1.4.5]) 2015/10/20</b></p>
+<p>Modified <a class="el" href="arm__math_8h.html">arm_math.h</a></p>
+<ul>
+<li>Added explicit type casts to remove compiler warnings.</li>
+<li>Supressed irrelevant warnings for toolchain GCC.</li>
+</ul>
+<p>Updated documentation</p>
+<ul>
+<li>functions <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32</a>, <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32</a> use table lookup combined with linear interpolation (since V1.4.2). This is now documented.</li>
+</ul>
+<hr/>
+ <b>Version 1.4.6 (no source code change [still labeled 1.4.5]) 2015/08/26</b></p>
+<p>Modified <a class="el" href="arm__math_8h.html">arm_math.h</a></p>
+<ul>
+<li>Updated function <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_sqrt_f32</a> for use with IAR.</li>
+</ul>
+<hr/>
+ <b>Version 1.4.5 2015/03/19</b></p>
+<p>Added support for the Cortex-M7 processor</p>
+<p>Fixed bug in <a class="el" href="arm__mat__inverse__f32_8c.html">arm_mat_inverse_f32.c</a> and <a class="el" href="arm__mat__inverse__f64_8c.html">arm_mat_inverse_f64.c</a>. They weren't properly handling diagonal matrices.</p>
+<p><a class="el" href="arm__cfft__f32_8c.html">arm_cfft_f32.c</a> - help documentation updated</p>
+<p>Updated documentation to show deprecated functions</p>
+<hr/>
+ <b>Version 1.4.4 2014/07/31</b></p>
+<p>Added the following new files:</p>
+<ul>
+<li><a class="el" href="arm__biquad__cascade__stereo__df2_t__f32_8c.html">arm_biquad_cascade_stereo_df2T_f32.c</a></li>
+<li><a class="el" href="arm__biquad__cascade__stereo__df2_t__init__f32_8c.html">arm_biquad_cascade_stereo_df2T_init_f32.c</a></li>
+<li><a class="el" href="arm__biquad__cascade__df2_t__f64_8c.html">arm_biquad_cascade_df2T_f64.c</a></li>
+<li><a class="el" href="arm__biquad__cascade__df2_t__init__f64_8c.html">arm_biquad_cascade_df2T_init_f64.c</a></li>
+<li><a class="el" href="arm__mat__inverse__f64_8c.html">arm_mat_inverse_f64.c</a></li>
+<li><a class="el" href="arm__cfft__q15_8c.html">arm_cfft_q15.c</a></li>
+<li><a class="el" href="arm__cfft__q31_8c.html">arm_cfft_q31.c</a></li>
+</ul>
+<p>Optimizations to the following files:</p>
+<ul>
+<li><a class="el" href="arm__biquad__cascade__df2_t__f32_8c.html">arm_biquad_cascade_df2T_f32.c</a></li>
+<li><a class="el" href="arm__fir__f32_8c.html">arm_fir_f32.c</a></li>
+<li><a class="el" href="arm__fir__fast__q31_8c.html">arm_fir_fast_q31.c</a></li>
+<li><a class="el" href="arm__fir__q7_8c.html">arm_fir_q7.c</a></li>
+<li><a class="el" href="arm__cfft__f32_8c.html">arm_cfft_f32.c</a></li>
+<li><a class="el" href="arm__cfft__radix4__q31_8c.html">arm_cfft_radix4_q31.c</a></li>
+<li><a class="el" href="arm__cfft__radix4__q15_8c.html">arm_cfft_radix4_q15.c</a></li>
+<li><a class="el" href="arm__rfft__q31_8c.html">arm_rfft_q31.c</a></li>
+<li><a class="el" href="arm__rfft__q15_8c.html">arm_rfft_q15.c</a></li>
+</ul>
+<hr/>
+ <b>Version 1.4.3 2014/03/12</b></p>
+<p>Undid changes to <a class="el" href="arm__biquad__cascade__df1__q31_8c.html">arm_biquad_cascade_df1_q31.c</a></p>
+<p>Added support for COSMIC</p>
+<p>Changed 'short' to 'q15_t' where appropriate</p>
+<p>Fixed <a class="el" href="arm__conv__partial__fast__q15_8c.html">arm_conv_partial_fast_q15.c</a> for UNALIGNED_SUPPORT_DISABLE</p>
+<p>Fixed <a class="el" href="arm__mat__cmplx__mult__q15_8c.html">arm_mat_cmplx_mult_q15.c</a> for UNALIGNED_SUPPORT_DISABLE</p>
+<p>Fixed <a class="el" href="arm__conv__partial__opt__q7_8c.html">arm_conv_partial_opt_q7.c</a> for UNALIGNED_SUPPORT_DISABLE</p>
+<p>Restored the internal fftlen of 16 to <a class="el" href="arm__rfft__fast__init__f32_8c.html">arm_rfft_fast_init_f32.c</a></p>
+<p>Updated core_xxx.h files to newer versions from ARM</p>
+<hr/>
+ <b>Version 1.4.2 2013/10/16</b></p>
+<p>Moved const structures from <a class="el" href="arm__const__structs_8h.html">arm_const_structs.h</a> to <a class="el" href="arm__const__structs_8c.html">arm_const_structs.c</a></p>
+<p>Rfft_fast_f32 no longer allows fft length of 16 as it wouldn't have worked anyways</p>
+<p>Partial convolution was producing the wrong results in some cases</p>
+<p>arm_lms_q31 and q15 now saturate the results in the M0 code to match the M3 &amp; M4 code</p>
+<p>Rfft_q15 and q31 had potential overflow issues resolved</p>
+<p><a class="el" href="arm__biquad__cascade__df1__q31_8c.html">arm_biquad_cascade_df1_q31.c</a> had a typo which resulted in incorrect outputs</p>
+<p>fast math sine and cosine now use linear interpolation</p>
+<p>controller sin/cos now uses a more accurate interpolation algorithm</p>
+<p>arm_mat_inverse was reading outside its input array</p>
+<p>arm_cmplx_dot_prod was incorrect</p>
+<p>switched some incorrect usages of __ssat to clip_q63_to_q31</p>
+<p>changed var &amp; std q31 to downshift input data by 8</p>
+<p>var q31 &amp; q15 no longer output larger data types</p>
+<p><a class="el" href="arm__mat__cmplx__mult__q15_8c.html">arm_mat_cmplx_mult_q15.c</a> was done incorrectly for big vs little endian</p>
+<p><a class="el" href="arm__mat__mult__q31_8c.html">arm_mat_mult_q31.c</a> was inconsistent with the other multiplies, so added saturation</p>
+<p>arm_conv_partial_q15 had an incorrect comparison between signed &amp; unsigned values</p>
+<hr/>
+ <b>Version 1.4.1 2013/02/20</b></p>
+<p>Updated licenses in headers to 2013</p>
+<p>Fixed ALIGN4 macro in <a class="el" href="arm__math_8h.html">arm_math.h</a></p>
+<p>Added files to Cortex-M0 projects so that all projects have same file list</p>
+<p>Fixed bugs in</p>
+<ul>
+<li>arm_biquad_cascade_d2fT_f32.c</li>
+<li>arm_cfft_radix2_q31</li>
+<li>arm_cfft_radix2_f32</li>
+<li><a class="el" href="arm__math_8h.html">arm_math.h</a> (arm_pid functions)</li>
+<li><a class="el" href="arm__iir__lattice__q31_8c.html">arm_iir_lattice_q31.c</a></li>
+</ul>
+<hr/>
+ <b>Version 1.4.0 2013/01/09</b></p>
+<p>Updated with more optimizations, bug fixes and new license information in headers</p>
+<p>Optimized functions:</p>
+<ul>
+<li>arm_biquad_cascade_df2T_f32</li>
+<li>arm_biquad_cascade_df1_q31</li>
+<li>arm_fir_f32</li>
+<li>arm_fir_fast_q31</li>
+<li>arm_cfft_f32</li>
+<li>arm_cfft_radix2_q31</li>
+<li>arm_rfft_fast_f32 (new function)</li>
+</ul>
+<p>Fixed compiler warnings in <a class="el" href="arm__math_8h.html">arm_math.h</a> for comparing signed and unsigned ints</p>
+<p>Fixed a saturation bug in arm_rms_q15</p>
+<p>Simplified the code in arm_sin_cos_q31</p>
+<p>Added a preprocessor directive to treat the Cortex M0+ just like the Cortex M0</p>
+<p>The following functions were deprecated and will be removed in a future version</p>
+<ul>
+<li>arm_cfft_radix2_f32</li>
+<li>arm_cfft_radix2_init_f32</li>
+<li>arm_cfft_radix4_f32</li>
+<li>arm_cfft_radix4_init_f32</li>
+</ul>
+<hr/>
+ <b>Version 1.3.0</b></p>
+<p>Added CMSIS DSP Software Library</p>
+<p>The CMSIS DSP Software Library is a suite of common signal processing functions targeted to Cortex-M processor based microcontrollers. Even though the code has been specifically optimized towards using the extended DSP instruction set of the Cortex-M4 processor, the library can be compiled for any Cortex-M processor.</p>
+<p>For more information please see CMSIS DSP Library documentation. Added Cortex-M4 Core Support</p>
+<p>Additional folder CM4, containing the Cortex-M4 core support files, has been added. CM0 CM3 CM4 CoreSupport DeviceSupport</p>
+<p>New naming for Core Support Files</p>
+<p>The new Core Support Files are:</p>
+<ul>
+<li>core_cm#.h (# = 0, 3, 4)</li>
+<li>core_cmFunc.h (Cortex-M Core Register access functions)</li>
+<li>core_cmInstr.h (Cortex-M Core instructions)</li>
+<li>core_cm4_simd.h (Cortex-M4 SIMD instructions)</li>
+</ul>
+<hr/>
+ <b>Version 1.2.0</b></p>
+<p>Removed CMSIS Middelware packages</p>
+<p>CMSIS Middleware is on hold from ARM side until a agreement between all CMSIS partners is found. SystemFrequency renamed to SystemCoreClock</p>
+<p>The variable name SystemCoreClock is more precise than SystemFrequency because the variable holds the clock value at which the core is running. Changed startup concept</p>
+<p>The old startup concept (calling SystemInit_ExtMemCtl from startup file and calling SystemInit from main) has the weakness that it does not work for controllers which need a already configuerd clock system to configure the external memory controller.</p>
+<p>Changed startup concept</p>
+<ul>
+<li><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2" title="Setup the microcontroller system. Initialize the System.">SystemInit()</a> is called from startup file before premain.</li>
+<li><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2" title="Setup the microcontroller system. Initialize the System.">SystemInit()</a> configures the clock system and also configures an existing external memory controller.</li>
+<li><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2" title="Setup the microcontroller system. Initialize the System.">SystemInit()</a> must not use global variables.</li>
+<li>SystemCoreClock is initialized with a correct predefined value.</li>
+<li>Additional function void SystemCoreClockUpdate (void) is provided.</li>
+<li><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a> updates the variable SystemCoreClock and must be called whenever the core clock is changed.</li>
+<li><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a> evaluates the clock register settings and calculates the current core clock.</li>
+</ul>
+<p>Advanced Debug Functions</p>
+<p>ITM communication channel is only capable for OUT direction. To allow also communication for IN direction a simple concept is provided.</p>
+<ul>
+<li>Global variable volatile int ITM_RxBuffer used for IN data.</li>
+<li>Function int ITM_CheckChar (void) checks if a new character is available.</li>
+<li>Function int ITM_ReceiveChar (void) retrieves the new character.</li>
+</ul>
+<p>For detailed explanation see file CMSIS debug support.htm.</p>
+<p>Core Register Bit Definitions</p>
+<p>Files core_cm3.h and core_cm0.h contain now bit definitions for Core Registers. The name for the defines correspond with the Cortex-M Technical Reference Manual.</p>
+<p>e.g. SysTick structure with bit definitions</p>
+<div class="fragment"><div class="line"></div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct</span></div>
+<div class="line">{</div>
+<div class="line">  __IO uint32_t CTRL;                         </div>
+<div class="line">  __IO uint32_t LOAD;                         </div>
+<div class="line">  __IO uint32_t VAL;                          </div>
+<div class="line">  __I  uint32_t CALIB;                        </div>
+<div class="line">} SysTick_Type;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* SysTick Control / Status Register Definitions */</span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_COUNTFLAG_Pos     16                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_COUNTFLAG_Msk    (1ul &lt;&lt; SysTick_CTRL_COUNTFLAG_Pos)      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_CLKSOURCE_Pos      2                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_CLKSOURCE_Msk     (1ul &lt;&lt; SysTick_CTRL_CLKSOURCE_Pos)     </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_TICKINT_Pos        1                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_TICKINT_Msk       (1ul &lt;&lt; SysTick_CTRL_TICKINT_Pos)       </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_ENABLE_Pos         0                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CTRL_ENABLE_Msk        (1ul &lt;&lt; SysTick_CTRL_ENABLE_Pos)        </span></div>
+<div class="line"><span class="preprocessor"></span><span class="comment">/* SysTick Reload Register Definitions */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define SysTick_LOAD_RELOAD_Pos         0                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_LOAD_RELOAD_Msk        (0xFFFFFFul &lt;&lt; SysTick_LOAD_RELOAD_Pos) </span></div>
+<div class="line"><span class="preprocessor"></span><span class="comment">/* SysTick Current Register Definitions */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define SysTick_VAL_CURRENT_Pos         0                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_VAL_CURRENT_Msk        (0xFFFFFFul &lt;&lt; SysTick_VAL_CURRENT_Pos) </span></div>
+<div class="line"><span class="preprocessor"></span><span class="comment">/* SysTick Calibration Register Definitions */</span><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define SysTick_CALIB_NOREF_Pos        31                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CALIB_NOREF_Msk       (1ul &lt;&lt; SysTick_CALIB_NOREF_Pos)         </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CALIB_SKEW_Pos         30                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CALIB_SKEW_Msk        (1ul &lt;&lt; SysTick_CALIB_SKEW_Pos)          </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CALIB_TENMS_Pos         0                                      </span></div>
+<div class="line"><span class="preprocessor">#define SysTick_CALIB_TENMS_Msk        (0xFFFFFFul &lt;&lt; SysTick_VAL_CURRENT_Pos) </span></div>
+<div class="line"><span class="preprocessor"> </span><span class="comment">/* end of group CMSIS_CM3_SysTick */</span><span class="preprocessor"></span></div>
+</div><!-- fragment --><p>DoxyGen Tags</p>
+<p>DoxyGen tags in files core_cm3.[c,h] and core_cm0.[c,h] are reworked to create proper documentation using DoxyGen. Folder Structure</p>
+<p>The folder structure is changed to differentiate the single support packages. </p>
+<pre class="fragment">CM0
+CM3
+    CoreSupport
+    DeviceSupport
+        Vendor
+            Device
+                Startup
+                    Toolchain
+                    Toolchain
+                    ...
+            Device
+            ...
+        Vendor
+        ...
+    Example (optional)
+        Toolchain
+            Device
+            Device
+            ...
+        Toolchain
+        ...
+Documentation
+</pre><hr/>
+ <b>Version 1.1.0 2012/02/15</b></p>
+<p>Updated with more optimizations, bug fixes and minor API changes.</p>
+<hr/>
+ <b>Version 1.0.11 2011/10/18</b></p>
+<p>Bug Fix in conv, correlation, partial convolution.</p>
+<hr/>
+ <b>Version 1.0.10 2011/7/15</b></p>
+<p>Big Endian support added and Merged M0 and M3/M4 Source code.</p>
+<hr/>
+ <b>Version 1.0.3 2010/11/29</b></p>
+<p>Re-organized the CMSIS folders and updated documentation.</p>
+<hr/>
+ <b>Version 1.0.2 2010/11/11</b></p>
+<p>Documentation updated.</p>
+<hr/>
+ <b>Version 1.0.1 2010/10/05</b></p>
+<p>Production release and review comments incorporated.</p>
+<hr/>
+ <b>Version 1.0.0 2010/09/20</b></p>
+<p>Production release and review comments incorporated.</p>
+<hr/>
+ <b>Version 0.0.9 2010/08/27</b></p>
+<p>Added files: <a class="el" href="arm__biquad__cascade__df1__fast__q15_8c.html">arm_biquad_cascade_df1_fast_q15.c</a> <a class="el" href="arm__biquad__cascade__df1__fast__q31_8c.html">arm_biquad_cascade_df1_fast_q31.c</a> <a class="el" href="arm__fir__fast__q31_8c.html">arm_fir_fast_q31.c</a> <a class="el" href="arm__fir__fast__q15_8c.html">arm_fir_fast_q15.c</a></p>
+<hr/>
+ <b>Version 0.0.7 2010/06/10</b></p>
+<p>Misra-C changes done</p>
+<hr/>
+ <b>Version 0.0.5 2010/04/26</b></p>
+<p>incorporated review comments and updated with latest CMSIS layer</p>
+<hr/>
+ <b>Version 0.0.3 2010/03/10 DP</b></p>
+<p>Initial version </p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/_g_c_c_2arm__class__marks__example__f32_8c.html b/Documentation/DSP/html/_g_c_c_2arm__class__marks__example__f32_8c.html
new file mode 100644
index 0000000..762f476
--- /dev/null
+++ b/Documentation/DSP/html/_g_c_c_2arm__class__marks__example__f32_8c.html
@@ -0,0 +1,388 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>arm_class_marks_example_f32.c File Reference</title>
+<title>CMSIS-DSP: arm_class_marks_example_f32.c File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">GCC/arm_class_marks_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+<tr class="memitem:a821d6c5973940580f5a045e7cf64b7f2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a821d6c5973940580f5a045e7cf64b7f2">USE_STATIC_INIT</a></td></tr>
+<tr class="separator:a821d6c5973940580f5a045e7cf64b7f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abc004a7fade488e72310fd96c0a101dc"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a></td></tr>
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+<tr class="memitem:a9d89ac0707e7c9363544986d47a70bd3"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">NUMSTUDENTS</a></td></tr>
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+<tr class="separator:a7b02f9b34bf2cd4d12633f5bf30771ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
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+<tr class="separator:a0153222efa82b7f1a0ea3835921bf921"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a993b9b2a1faf43b319c1c6d58b26e7a1"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a> [4]</td></tr>
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+<tr class="separator:afd4d61aad5f35a4e42d580004e2f9a1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aad32888fa966b3d9db9c31bcbba9d9ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abb7687fa07ec54d8e792cfcbfe2ca809"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acc9290716b3c97381ce52d14b4b01681"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a></td></tr>
+<tr class="separator:acc9290716b3c97381ce52d14b4b01681"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a150b0cf729b51893379f5b5548d4f989"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">std</a></td></tr>
+<tr class="separator:a150b0cf729b51893379f5b5548d4f989"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3bd39c4335d84be071cc1eaa9b0a8642"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a></td></tr>
+<tr class="separator:a3bd39c4335d84be071cc1eaa9b0a8642"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a798cf43a3725d7df2fcaf3f328969f53"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a></td></tr>
+<tr class="separator:a798cf43a3725d7df2fcaf3f328969f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a9d89ac0707e7c9363544986d47a70bd3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMSTUDENTS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7b02f9b34bf2cd4d12633f5bf30771ec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMSUBJECTS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a821d6c5973940580f5a045e7cf64b7f2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define USE_STATIC_INIT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a196718f834091385d38586a0ce4009dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32()</a>, <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32()</a>, <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32()</a>, <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32()</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">max_marks</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">min_marks</a>, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">NUMSTUDENTS</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">NUMSUBJECTS</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">numSubjects</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">std</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">testMarks_f32</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aad32888fa966b3d9db9c31bcbba9d9ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> max_marks</td>
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+      </table>
+</div><div class="memdoc">
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+</div>
+</div>
+<a class="anchor" id="acc9290716b3c97381ce52d14b4b01681"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> mean</td>
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+</div>
+</div>
+<a class="anchor" id="abb7687fa07ec54d8e792cfcbfe2ca809"></a>
+<div class="memitem">
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint32_t numStudents</td>
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+      </table>
+</div><div class="memdoc">
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+</div>
+<a class="anchor" id="a3d01884f63bcb694226ca7c24980757a"></a>
+<div class="memitem">
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+          <td class="memname">uint32_t numSubjects</td>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> std</td>
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+</div><div class="memdoc">
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+          <td class="memname">uint32_t student_num</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a0153222efa82b7f1a0ea3835921bf921"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testMarks_f32[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
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+  <td class="mlabels-right">
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+</div>
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+<a class="anchor" id="a993b9b2a1faf43b319c1c6d58b26e7a1"></a>
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+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testUnity_f32[4]</td>
+        </tr>
+      </table>
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+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a></td></tr>
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+<tr class="separator:a9c49c44c8bc5c432d220d33a26b4b589"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af06013f588a7003278de222913c9d819"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
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+          <td class="memname">#define MAX_BLOCKSIZE</td>
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+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
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+          <td class="memname">#define SNR_THRESHOLD</td>
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+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
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+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
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+</div><div class="memdoc">
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>, <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___cmplx_by_cmplx_mult.html#ga14b47080054a1ba1250a86805be1ff6b">arm_cmplx_mult_cmplx_f32()</a>, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32()</a>, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">outLen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">testInputA_f32</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">testInputB_f32</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aed74eacd4b96cc7f71b64d18f2e95705"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ak[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a13521f3164dc55679f43b7cb2e41e098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> AxB[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a> *2]</td>
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+</div><div class="memdoc">
+
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+</div>
+<a class="anchor" id="a88a0167516ae7ed66203fd60e6ddeea3"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Bk[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a9c49c44c8bc5c432d220d33a26b4b589"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t outLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af06013f588a7003278de222913c9d819"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr</td>
+        </tr>
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+</div><div class="memdoc">
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+<a class="anchor" id="ace48ed566e2cd6a680f0681192e6af28"></a>
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+          <td class="memname">uint32_t srcALen</td>
+        </tr>
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+          <td class="memname">uint32_t srcBLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a7db2f016e1afcb524a2fdc3c5a3cb640"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInputA_f32[64]</td>
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+<a class="anchor" id="acb22287e7e096b677e352dfd363ba60d"></a>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInputB_f32[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+</div>
+</div>
+<a class="anchor" id="a7ede41b07b8766013744c8fdbb80af75"></a>
+<div class="memitem">
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+          <td class="memname">const float testRefOutput_f32[127]</td>
+        </tr>
+      </table>
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+<div class="title">GCC/arm_dotproduct_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+<tr class="memitem:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a></td></tr>
+<tr class="separator:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a3fd2b1bcd7ddcf506237987ad780f495"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a88ccb294236ab22b00310c47164c53c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
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+          <td class="memname">#define MAX_BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">refDotProdOut</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">srcA_buf_f32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">srcB_buf_f32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ad0bfd425dfe1ff2bda80fb957e464098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> multOutput[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ad57c1f9ad68d098d79b15ec6844a26fc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> refDotProdOut</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a0c248a472fdc0507e4ab7d693e4876b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> srcA_buf_f32[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a67d9082c1585d4854ae9ca38db170ff5"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> srcB_buf_f32[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> status</td>
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+</div><div class="memdoc">
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
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+Variables</h2></td></tr>
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+<tr class="separator:a3d8ecb82590486ceebccc76263963b16"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaaf907bde12051bc8bb5d48b7d315a35"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#aaaf907bde12051bc8bb5d48b7d315a35">testOutput</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>/2]</td></tr>
+<tr class="separator:aaaf907bde12051bc8bb5d48b7d315a35"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9b500899c581f6df3ffc0a9f3a9ef6aa"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a></td></tr>
+<tr class="separator:a9b500899c581f6df3ffc0a9f3a9ef6aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a379ccb99013d369a41b49619083c16ef"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a></td></tr>
+<tr class="separator:a379ccb99013d369a41b49619083c16ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4d2e31c38e8172505e0a369a6898657d"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">doBitReverse</a></td></tr>
+<tr class="separator:a4d2e31c38e8172505e0a369a6898657d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aec50b0f697fd9e7e7e244487a4bd57e4"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">refIndex</a></td></tr>
+<tr class="separator:aec50b0f697fd9e7e7e244487a4bd57e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4a391651dbb95db35ccba70fc4f9e049"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a></td></tr>
+<tr class="separator:a4a391651dbb95db35ccba70fc4f9e049"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__const__structs_8c.html#a05abc294a9159abbd6ffb4f188fe18b1">arm_cfft_sR_f32_len1024</a>, <a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213">arm_cmplx_mag_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32()</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">doBitReverse</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">refIndex</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a>, <a class="el" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">testInput_f32_10khz</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a4d2e31c38e8172505e0a369a6898657d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t doBitReverse</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a9b500899c581f6df3ffc0a9f3a9ef6aa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t fftSize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a379ccb99013d369a41b49619083c16ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t ifftFlag</td>
+        </tr>
+      </table>
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+
+</div>
+</div>
+<a class="anchor" id="aec50b0f697fd9e7e7e244487a4bd57e4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t refIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+</div>
+</div>
+<a class="anchor" id="a4a391651dbb95db35ccba70fc4f9e049"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t testIndex</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a3d8ecb82590486ceebccc76263963b16"></a>
+<div class="memitem">
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+        </tr>
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+</div><div class="memdoc">
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+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
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+<div class="title">Data Structures</div>  </div>
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+<div class="contents">
+<div class="textblock">Here are the data structures with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__bilinear__interp__instance__f32.html" target="_self">arm_bilinear_interp_instance_f32</a></td><td class="desc">Instance structure for the floating-point bilinear interpolation function</td></tr>
+<tr id="row_1_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__bilinear__interp__instance__q15.html" target="_self">arm_bilinear_interp_instance_q15</a></td><td class="desc">Instance structure for the Q15 bilinear interpolation function</td></tr>
+<tr id="row_2_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__bilinear__interp__instance__q31.html" target="_self">arm_bilinear_interp_instance_q31</a></td><td class="desc">Instance structure for the Q31 bilinear interpolation function</td></tr>
+<tr id="row_3_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__bilinear__interp__instance__q7.html" target="_self">arm_bilinear_interp_instance_q7</a></td><td class="desc">Instance structure for the Q15 bilinear interpolation function</td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html" target="_self">arm_biquad_cas_df1_32x64_ins_q31</a></td><td class="desc">Instance structure for the high precision Q31 Biquad cascade filter</td></tr>
+<tr id="row_5_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html" target="_self">arm_biquad_cascade_df2T_instance_f32</a></td><td class="desc">Instance structure for the floating-point transposed direct form II Biquad cascade filter</td></tr>
+<tr id="row_6_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html" target="_self">arm_biquad_cascade_df2T_instance_f64</a></td><td class="desc">Instance structure for the floating-point transposed direct form II Biquad cascade filter</td></tr>
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+<tr id="row_19_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__cfft__radix4__instance__q31.html" target="_self">arm_cfft_radix4_instance_q31</a></td><td class="desc">Instance structure for the Q31 CFFT/CIFFT function</td></tr>
+<tr id="row_20_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__dct4__instance__f32.html" target="_self">arm_dct4_instance_f32</a></td><td class="desc">Instance structure for the floating-point DCT4/IDCT4 function</td></tr>
+<tr id="row_21_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__dct4__instance__q15.html" target="_self">arm_dct4_instance_q15</a></td><td class="desc">Instance structure for the Q15 DCT4/IDCT4 function</td></tr>
+<tr id="row_22_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__dct4__instance__q31.html" target="_self">arm_dct4_instance_q31</a></td><td class="desc">Instance structure for the Q31 DCT4/IDCT4 function</td></tr>
+<tr id="row_23_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__decimate__instance__f32.html" target="_self">arm_fir_decimate_instance_f32</a></td><td class="desc">Instance structure for the floating-point FIR decimator</td></tr>
+<tr id="row_24_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__decimate__instance__q15.html" target="_self">arm_fir_decimate_instance_q15</a></td><td class="desc">Instance structure for the Q15 FIR decimator</td></tr>
+<tr id="row_25_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__decimate__instance__q31.html" target="_self">arm_fir_decimate_instance_q31</a></td><td class="desc">Instance structure for the Q31 FIR decimator</td></tr>
+<tr id="row_26_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__instance__f32.html" target="_self">arm_fir_instance_f32</a></td><td class="desc">Instance structure for the floating-point FIR filter</td></tr>
+<tr id="row_27_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__instance__q15.html" target="_self">arm_fir_instance_q15</a></td><td class="desc">Instance structure for the Q15 FIR filter</td></tr>
+<tr id="row_28_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__instance__q31.html" target="_self">arm_fir_instance_q31</a></td><td class="desc">Instance structure for the Q31 FIR filter</td></tr>
+<tr id="row_29_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__instance__q7.html" target="_self">arm_fir_instance_q7</a></td><td class="desc">Instance structure for the Q7 FIR filter</td></tr>
+<tr id="row_30_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__interpolate__instance__f32.html" target="_self">arm_fir_interpolate_instance_f32</a></td><td class="desc">Instance structure for the floating-point FIR interpolator</td></tr>
+<tr id="row_31_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__interpolate__instance__q15.html" target="_self">arm_fir_interpolate_instance_q15</a></td><td class="desc">Instance structure for the Q15 FIR interpolator</td></tr>
+<tr id="row_32_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__interpolate__instance__q31.html" target="_self">arm_fir_interpolate_instance_q31</a></td><td class="desc">Instance structure for the Q31 FIR interpolator</td></tr>
+<tr id="row_33_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__lattice__instance__f32.html" target="_self">arm_fir_lattice_instance_f32</a></td><td class="desc">Instance structure for the floating-point FIR lattice filter</td></tr>
+<tr id="row_34_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__lattice__instance__q15.html" target="_self">arm_fir_lattice_instance_q15</a></td><td class="desc">Instance structure for the Q15 FIR lattice filter</td></tr>
+<tr id="row_35_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__lattice__instance__q31.html" target="_self">arm_fir_lattice_instance_q31</a></td><td class="desc">Instance structure for the Q31 FIR lattice filter</td></tr>
+<tr id="row_36_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__sparse__instance__f32.html" target="_self">arm_fir_sparse_instance_f32</a></td><td class="desc">Instance structure for the floating-point sparse FIR filter</td></tr>
+<tr id="row_37_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__sparse__instance__q15.html" target="_self">arm_fir_sparse_instance_q15</a></td><td class="desc">Instance structure for the Q15 sparse FIR filter</td></tr>
+<tr id="row_38_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__sparse__instance__q31.html" target="_self">arm_fir_sparse_instance_q31</a></td><td class="desc">Instance structure for the Q31 sparse FIR filter</td></tr>
+<tr id="row_39_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__fir__sparse__instance__q7.html" target="_self">arm_fir_sparse_instance_q7</a></td><td class="desc">Instance structure for the Q7 sparse FIR filter</td></tr>
+<tr id="row_40_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__iir__lattice__instance__f32.html" target="_self">arm_iir_lattice_instance_f32</a></td><td class="desc">Instance structure for the floating-point IIR lattice filter</td></tr>
+<tr id="row_41_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__iir__lattice__instance__q15.html" target="_self">arm_iir_lattice_instance_q15</a></td><td class="desc">Instance structure for the Q15 IIR lattice filter</td></tr>
+<tr id="row_42_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__iir__lattice__instance__q31.html" target="_self">arm_iir_lattice_instance_q31</a></td><td class="desc">Instance structure for the Q31 IIR lattice filter</td></tr>
+<tr id="row_43_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__linear__interp__instance__f32.html" target="_self">arm_linear_interp_instance_f32</a></td><td class="desc">Instance structure for the floating-point Linear Interpolate function</td></tr>
+<tr id="row_44_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__instance__f32.html" target="_self">arm_lms_instance_f32</a></td><td class="desc">Instance structure for the floating-point LMS filter</td></tr>
+<tr id="row_45_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__instance__q15.html" target="_self">arm_lms_instance_q15</a></td><td class="desc">Instance structure for the Q15 LMS filter</td></tr>
+<tr id="row_46_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__instance__q31.html" target="_self">arm_lms_instance_q31</a></td><td class="desc">Instance structure for the Q31 LMS filter</td></tr>
+<tr id="row_47_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__norm__instance__f32.html" target="_self">arm_lms_norm_instance_f32</a></td><td class="desc">Instance structure for the floating-point normalized LMS filter</td></tr>
+<tr id="row_48_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__norm__instance__q15.html" target="_self">arm_lms_norm_instance_q15</a></td><td class="desc">Instance structure for the Q15 normalized LMS filter</td></tr>
+<tr id="row_49_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__lms__norm__instance__q31.html" target="_self">arm_lms_norm_instance_q31</a></td><td class="desc">Instance structure for the Q31 normalized LMS filter</td></tr>
+<tr id="row_50_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__matrix__instance__f32.html" target="_self">arm_matrix_instance_f32</a></td><td class="desc">Instance structure for the floating-point matrix structure</td></tr>
+<tr id="row_51_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__matrix__instance__f64.html" target="_self">arm_matrix_instance_f64</a></td><td class="desc">Instance structure for the floating-point matrix structure</td></tr>
+<tr id="row_52_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__matrix__instance__q15.html" target="_self">arm_matrix_instance_q15</a></td><td class="desc">Instance structure for the Q15 matrix structure</td></tr>
+<tr id="row_53_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__matrix__instance__q31.html" target="_self">arm_matrix_instance_q31</a></td><td class="desc">Instance structure for the Q31 matrix structure</td></tr>
+<tr id="row_54_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__pid__instance__f32.html" target="_self">arm_pid_instance_f32</a></td><td class="desc">Instance structure for the floating-point PID Control</td></tr>
+<tr id="row_55_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__pid__instance__q15.html" target="_self">arm_pid_instance_q15</a></td><td class="desc">Instance structure for the Q15 PID Control</td></tr>
+<tr id="row_56_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__pid__instance__q31.html" target="_self">arm_pid_instance_q31</a></td><td class="desc">Instance structure for the Q31 PID Control</td></tr>
+<tr id="row_57_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__rfft__fast__instance__f32.html" target="_self">arm_rfft_fast_instance_f32</a></td><td class="desc">Instance structure for the floating-point RFFT/RIFFT function</td></tr>
+<tr id="row_58_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__rfft__instance__f32.html" target="_self">arm_rfft_instance_f32</a></td><td class="desc">Instance structure for the floating-point RFFT/RIFFT function</td></tr>
+<tr id="row_59_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__rfft__instance__q15.html" target="_self">arm_rfft_instance_q15</a></td><td class="desc">Instance structure for the Q15 RFFT/RIFFT function</td></tr>
+<tr id="row_60_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structarm__rfft__instance__q31.html" target="_self">arm_rfft_instance_q31</a></td><td class="desc">Instance structure for the Q31 RFFT/RIFFT function</td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<tr class="memdesc:gaffb9792c0220882efd4c58f3c6a05fd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.  <a href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7"></a><br/></td></tr>
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+<a href="#func-members">Functions</a>  </div>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_bitreversal.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a27618705158b5c42db5fb0a381f8efc1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__bitreversal_8c.html#a27618705158b5c42db5fb0a381f8efc1">arm_bitreversal_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTable)</td></tr>
+<tr class="separator:a27618705158b5c42db5fb0a381f8efc1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a12a07b49948c354172ae07358309a4a5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__bitreversal_8c.html#a12a07b49948c354172ae07358309a4a5">arm_bitreversal_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc16, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a12a07b49948c354172ae07358309a4a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3d4062fdfa6aaa3f51f41cab868e508b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a12a07b49948c354172ae07358309a4a5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27618705158b5c42db5fb0a381f8efc1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTable</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
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+<div class="title">arm_cfft_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a72350c6eaa1eef8796ab43c1497c6b9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_radix8_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a72350c6eaa1eef8796ab43c1497c6b9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8e7ebe1cb131a5b0f55d0464640591f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__f32_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_bitreversal_32</a> (uint32_t *pSrc, const uint16_t bitRevLen, const uint16_t *pBitRevTable)</td></tr>
+<tr class="separator:ac8e7ebe1cb131a5b0f55d0464640591f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae99e2b173033e9910058869bdf0619d9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32</a> (<a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p1)</td></tr>
+<tr class="separator:ae99e2b173033e9910058869bdf0619d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4bb346f59bca06cebe0defc8e15b69a6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32</a> (<a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p1)</td></tr>
+<tr class="separator:a4bb346f59bca06cebe0defc8e15b69a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> (const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p1, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point complex FFT.  <a href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80"></a><br/></td></tr>
+<tr class="separator:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ac8e7ebe1cb131a5b0f55d0464640591f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_32 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTable</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae99e2b173033e9910058869bdf0619d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix8by2_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p1</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_radix8_butterfly_f32()</a>, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32::fftLen</a>, and <a class="el" href="structarm__cfft__instance__f32.html#a59cc6f753f1498716e1444ac054c06de">arm_cfft_instance_f32::pTwiddle</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4bb346f59bca06cebe0defc8e15b69a6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix8by4_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p1</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_radix8_butterfly_f32()</a>, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32::fftLen</a>, and <a class="el" href="structarm__cfft__instance__f32.html#a59cc6f753f1498716e1444ac054c06de">arm_cfft_instance_f32::pTwiddle</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a72350c6eaa1eef8796ab43c1497c6b9c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix8_butterfly_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32()</a>, and <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32()</a>.</p>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_cfft_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:abf1a2f9aa9f44ad5da1f0dbae8b54f2f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_radix4_butterfly_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:abf1a2f9aa9f44ad5da1f0dbae8b54f2f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q15 CFFT butterfly process.  <a href="#abf1a2f9aa9f44ad5da1f0dbae8b54f2f"></a><br/></td></tr>
+<tr class="separator:abf1a2f9aa9f44ad5da1f0dbae8b54f2f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a734ecff00f21a6a10e9ec437c8987eb1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_radix4_butterfly_inverse_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:a734ecff00f21a6a10e9ec437c8987eb1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q15 CIFFT butterfly process.  <a href="#a734ecff00f21a6a10e9ec437c8987eb1"></a><br/></td></tr>
+<tr class="separator:a734ecff00f21a6a10e9ec437c8987eb1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a773957c278f4d9e728711f27e8a6e278"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q15_8c.html#a773957c278f4d9e728711f27e8a6e278">arm_bitreversal_16</a> (uint16_t *pSrc, const uint16_t bitRevLen, const uint16_t *pBitRevTable)</td></tr>
+<tr class="separator:a773957c278f4d9e728711f27e8a6e278"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af1d4a751153857c173511e0c77ab4fa9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_radix4by2_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef)</td></tr>
+<tr class="separator:af1d4a751153857c173511e0c77ab4fa9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe669acc8db57d1fb9b1e2bba30f2224"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_radix4by2_inverse_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef)</td></tr>
+<tr class="separator:abe669acc8db57d1fb9b1e2bba30f2224"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga68cdacd2267a2967955e40e6b7ec1229"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> (const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *p1, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:ga68cdacd2267a2967955e40e6b7ec1229"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 complex FFT.  <a href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229"></a><br/></td></tr>
+<tr class="separator:ga68cdacd2267a2967955e40e6b7ec1229"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a773957c278f4d9e728711f27e8a6e278"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_16 </td>
+          <td>(</td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTable</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe669acc8db57d1fb9b1e2bba30f2224"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4by2_inverse_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, and <a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_radix4_butterfly_inverse_q15()</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af1d4a751153857c173511e0c77ab4fa9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4by2_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, and <a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_radix4_butterfly_q15()</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a734ecff00f21a6a10e9ec437c8987eb1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc16</td><td>points to the in-place buffer of Q15 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef16</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>, <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>, and <a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_radix4by2_inverse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abf1a2f9aa9f44ad5da1f0dbae8b54f2f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc16</td><td>points to the in-place buffer of Q15 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef16</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>, <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>, and <a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_radix4by2_q15()</a>.</p>
+
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_q31.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac12f1e7f159d5741358cdc36830a0395"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:ac12f1e7f159d5741358cdc36830a0395"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q31 CFFT butterfly process.  <a href="#ac12f1e7f159d5741358cdc36830a0395"></a><br/></td></tr>
+<tr class="separator:ac12f1e7f159d5741358cdc36830a0395"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac9c7c553114c1201a3a987a11b8a6d01"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:ac9c7c553114c1201a3a987a11b8a6d01"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q31 CIFFT butterfly process.  <a href="#ac9c7c553114c1201a3a987a11b8a6d01"></a><br/></td></tr>
+<tr class="separator:ac9c7c553114c1201a3a987a11b8a6d01"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8e7ebe1cb131a5b0f55d0464640591f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q31_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_bitreversal_32</a> (uint32_t *pSrc, const uint16_t bitRevLen, const uint16_t *pBitRevTable)</td></tr>
+<tr class="separator:ac8e7ebe1cb131a5b0f55d0464640591f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af6df8bf714c30d44e6b871ea87d22b30"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef)</td></tr>
+<tr class="separator:af6df8bf714c30d44e6b871ea87d22b30"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f3ae10bc2057cc1360abfa25f224c8c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef)</td></tr>
+<tr class="separator:a3f3ae10bc2057cc1360abfa25f224c8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5a0008bd997ab6e2e299ef2fb272fb4b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> (const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *p1, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:ga5a0008bd997ab6e2e299ef2fb272fb4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fixed-point complex FFT in Q31 format.  <a href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b"></a><br/></td></tr>
+<tr class="separator:ga5a0008bd997ab6e2e299ef2fb272fb4b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ac8e7ebe1cb131a5b0f55d0464640591f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_32 </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTable</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a3f3ae10bc2057cc1360abfa25f224c8c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4by2_inverse_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31()</a>, <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6df8bf714c30d44e6b871ea87d22b30"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4by2_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+
+<p>References <a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31()</a>, <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9c7c553114c1201a3a987a11b8a6d01"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the in-place buffer of Q31 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ad1b053da364f9fd82ca1a381df7590b6">__SIMD64</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>, and <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac12f1e7f159d5741358cdc36830a0395"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the in-place buffer of Q31 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ad1b053da364f9fd82ca1a381df7590b6">__SIMD64</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>, and <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>.</p>
+
+</div>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_cfft_radix2_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a04631e102b5209af3402b225b1abe868"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__f32_8c.html#a04631e102b5209af3402b225b1abe868">arm_radix2_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a04631e102b5209af3402b225b1abe868"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abda34af152e515a95ac38470ac053b77"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__f32_8c.html#abda34af152e515a95ac38470ac053b77">arm_radix2_butterfly_inverse_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> onebyfftLen)</td></tr>
+<tr class="separator:abda34af152e515a95ac38470ac053b77"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9fadd650b802f612ae558ddaab789a6d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32</a> (const <a class="el" href="structarm__cfft__radix2__instance__f32.html">arm_cfft_radix2_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga9fadd650b802f612ae558ddaab789a6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Radix-2 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d"></a><br/></td></tr>
+<tr class="separator:ga9fadd650b802f612ae558ddaab789a6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3d4062fdfa6aaa3f51f41cab868e508b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a04631e102b5209af3402b225b1abe868"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abda34af152e515a95ac38470ac053b77"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_inverse_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>onebyfftLen</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>.</p>
+
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+<div class="contents">
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gac9565e6bc7229577ecf5e090313cafd7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32</a> (<a class="el" href="structarm__cfft__radix2__instance__f32.html">arm_cfft_radix2_instance_f32</a> *S, uint16_t fftLen, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:gac9565e6bc7229577ecf5e090313cafd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point CFFT/CIFFT.  <a href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7"></a><br/></td></tr>
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+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga5c5b2127b3c4ea2d03692127f8543858"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15</a> (<a class="el" href="structarm__cfft__radix2__instance__q15.html">arm_cfft_radix2_instance_q15</a> *S, uint16_t fftLen, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:ga5c5b2127b3c4ea2d03692127f8543858"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858"></a><br/></td></tr>
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+<tr class="memitem:gabec9611e77382f31e152668bf6b4b638"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31</a> (<a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a> *S, uint16_t fftLen, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:gabec9611e77382f31e152668bf6b4b638"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638"></a><br/></td></tr>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_cfft_radix2_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a521780ba2fd3450cbf02784e38859699"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q15_8c.html#a521780ba2fd3450cbf02784e38859699">arm_radix2_butterfly_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a521780ba2fd3450cbf02784e38859699"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a91ff93fa10757b3872680fec4835c412"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q15_8c.html#a91ff93fa10757b3872680fec4835c412">arm_radix2_butterfly_inverse_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a91ff93fa10757b3872680fec4835c412"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73f48eaea9297605705ae25d3405343e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_bitreversal_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a73f48eaea9297605705ae25d3405343e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga55b424341dc3efd3fa0bcaaff4bdbf40"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15</a> (const <a class="el" href="structarm__cfft__radix2__instance__q15.html">arm_cfft_radix2_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga55b424341dc3efd3fa0bcaaff4bdbf40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fixed-point CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40"></a><br/></td></tr>
+<tr class="separator:ga55b424341dc3efd3fa0bcaaff4bdbf40"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a73f48eaea9297605705ae25d3405343e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a91ff93fa10757b3872680fec4835c412"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_inverse_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a521780ba2fd3450cbf02784e38859699"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
+</div>
+</div>
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+++ b/Documentation/DSP/html/arm__cfft__radix2__q31_8c.html
@@ -0,0 +1,268 @@
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix2_q31.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a740f4fe69e6148d22fc99f374d304e7e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_radix2_butterfly_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a740f4fe69e6148d22fc99f374d304e7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4d665f67080455b95cafec04009fd52d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_radix2_butterfly_inverse_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a4d665f67080455b95cafec04009fd52d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3fab577d25c3a517973c8c214f66f268"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix2__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_bitreversal_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3fab577d25c3a517973c8c214f66f268"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6321f703ec87a274aedaab33d3e766b4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31</a> (const <a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga6321f703ec87a274aedaab33d3e766b4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fixed-point CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4"></a><br/></td></tr>
+<tr class="separator:ga6321f703ec87a274aedaab33d3e766b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3fab577d25c3a517973c8c214f66f268"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a4d665f67080455b95cafec04009fd52d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_inverse_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a740f4fe69e6148d22fc99f374d304e7e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix2_butterfly_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
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+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae239ddf995d1607115f9e84d5c069b9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_radix4_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:gae239ddf995d1607115f9e84d5c069b9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2a78df6e4bbf080624f2b6349224ec93"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_radix4_butterfly_inverse_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> onebyfftLen)</td></tr>
+<tr class="separator:a2a78df6e4bbf080624f2b6349224ec93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga521f670cd9c571bc61aff9bec89f4c26"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32</a> (const <a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga521f670cd9c571bc61aff9bec89f4c26"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point Radix-4 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26"></a><br/></td></tr>
+<tr class="separator:ga521f670cd9c571bc61aff9bec89f4c26"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3d4062fdfa6aaa3f51f41cab868e508b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a2a78df6e4bbf080624f2b6349224ec93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>onebyfftLen</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
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+<tr class="memitem:gaf336459f684f0b17bfae539ef1b1b78a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32</a> (<a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *S, uint16_t fftLen, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:gaf336459f684f0b17bfae539ef1b1b78a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point CFFT/CIFFT.  <a href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a"></a><br/></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2d01d2045f280c32036da97d33c52440"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q15_8c.html#a2d01d2045f280c32036da97d33c52440">arm_radix4_butterfly_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc16, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef16, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:a2d01d2045f280c32036da97d33c52440"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q15 CFFT butterfly process.  <a href="#a2d01d2045f280c32036da97d33c52440"></a><br/></td></tr>
+<tr class="separator:a2d01d2045f280c32036da97d33c52440"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aad04e8439d17dab5617bf1be268bb391"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q15_8c.html#aad04e8439d17dab5617bf1be268bb391">arm_radix4_butterfly_inverse_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc16, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoef16, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:aad04e8439d17dab5617bf1be268bb391"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q15 CIFFT butterfly process.  <a href="#aad04e8439d17dab5617bf1be268bb391"></a><br/></td></tr>
+<tr class="separator:aad04e8439d17dab5617bf1be268bb391"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73f48eaea9297605705ae25d3405343e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_bitreversal_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a73f48eaea9297605705ae25d3405343e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8d66cdac41b8bf6cefdb895456eee84a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15</a> (const <a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga8d66cdac41b8bf6cefdb895456eee84a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a"></a><br/></td></tr>
+<tr class="separator:ga8d66cdac41b8bf6cefdb895456eee84a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a73f48eaea9297605705ae25d3405343e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aad04e8439d17dab5617bf1be268bb391"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc16</td><td>points to the in-place buffer of Q15 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef16</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>, <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>, and <a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_radix4by2_inverse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2d01d2045f280c32036da97d33c52440"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef16</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc16</td><td>points to the in-place buffer of Q15 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef16</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>, <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>, and <a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_radix4by2_q15()</a>.</p>
+
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_cfft_radix4_q31.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac9c7c553114c1201a3a987a11b8a6d01"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:ac9c7c553114c1201a3a987a11b8a6d01"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q31 CIFFT butterfly process.  <a href="#ac9c7c553114c1201a3a987a11b8a6d01"></a><br/></td></tr>
+<tr class="separator:ac9c7c553114c1201a3a987a11b8a6d01"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac12f1e7f159d5741358cdc36830a0395"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoef, uint32_t twidCoefModifier)</td></tr>
+<tr class="memdesc:ac12f1e7f159d5741358cdc36830a0395"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core function for the Q31 CFFT butterfly process.  <a href="#ac12f1e7f159d5741358cdc36830a0395"></a><br/></td></tr>
+<tr class="separator:ac12f1e7f159d5741358cdc36830a0395"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3fab577d25c3a517973c8c214f66f268"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix4__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_bitreversal_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3fab577d25c3a517973c8c214f66f268"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafde3ee1f58cf393b45a9073174fff548"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31</a> (const <a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc)</td></tr>
+<tr class="memdesc:gafde3ee1f58cf393b45a9073174fff548"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 CFFT/CIFFT.  <a href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548"></a><br/></td></tr>
+<tr class="separator:gafde3ee1f58cf393b45a9073174fff548"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3fab577d25c3a517973c8c214f66f268"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9c7c553114c1201a3a987a11b8a6d01"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the in-place buffer of Q31 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ad1b053da364f9fd82ca1a381df7590b6">__SIMD64</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>, and <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac12f1e7f159d5741358cdc36830a0395"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of ComplexFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the in-place buffer of Q31 data type. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoef</td><td>points to twiddle coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">twidCoefModifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ad1b053da364f9fd82ca1a381df7590b6">__SIMD64</a>.</p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>, and <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>.</p>
+
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a72350c6eaa1eef8796ab43c1497c6b9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__cfft__radix8__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_radix8_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:a72350c6eaa1eef8796ab43c1497c6b9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a72350c6eaa1eef8796ab43c1497c6b9c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix8_butterfly_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32()</a>, and <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32()</a>.</p>
+
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_abstract_8txt.html b/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_abstract_8txt.html
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+          <td class="memname">CMSIS DSP_Lib example arm_class_marks_example for Cortex M0</td>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  </td>
+ </tr>
+ </tbody>
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_class_marks_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8414b1b93f9b578e0e4fd694ad6d561d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_12597927a5d871eba77af159658f8e9f.html">Device</a></li><li class="navelem"><a class="el" href="dir_2bac5604b95d5833788d2de8744eebd8.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
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+</html>
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+++ b/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html
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+<title>CMSIS-DSP: system_ARMCM3.c File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_class_marks_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8414b1b93f9b578e0e4fd694ad6d561d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_12597927a5d871eba77af159658f8e9f.html">Device</a></li><li class="navelem"><a class="el" href="dir_8ec650f333a7a305dec681cfacaa8edc.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html b/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html
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+++ b/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_class_marks_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8414b1b93f9b578e0e4fd694ad6d561d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_12597927a5d871eba77af159658f8e9f.html">Device</a></li><li class="navelem"><a class="el" href="dir_b4620baec99d7beabdab610e4d749ef9.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
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+<div class="title">arm_class_marks_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8414b1b93f9b578e0e4fd694ad6d561d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_12597927a5d871eba77af159658f8e9f.html">Device</a></li><li class="navelem"><a class="el" href="dir_ed0f06d1d48a5e921d9f4bc3a2223aa6.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html b/Documentation/DSP/html/arm__class__marks__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>RTE_Components.h File Reference</title>
+<title>CMSIS-DSP: RTE_Components.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="title">arm_class_marks_example/ARM/RTE/RTE_Components.h File Reference</div>  </div>
+</div><!--header-->
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+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_a4dee065d84ef6ffe4004c9ef0acf573.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8414b1b93f9b578e0e4fd694ad6d561d.html">RTE</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html">RTE_Components.h</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_abstract_8txt.html b/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_abstract_8txt.html
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Abstract.txt File Reference</title>
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+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+</div><div class="memdoc">
+
+</div>
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html b/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_class_marks_example/GCC/Startup/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_56cec670f0bb78d679862f48f54d3df2.html">arm_class_marks_example</a></li><li class="navelem"><a class="el" href="dir_51a4a1a9da33f8f5fceef63d25a48bab.html">GCC</a></li><li class="navelem"><a class="el" href="dir_180f1cc07eaa223183e2db63ad84fc96.html">Startup</a></li><li class="navelem"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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diff --git a/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html b/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html
new file mode 100644
index 0000000..9c3f91c
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+++ b/Documentation/DSP/html/arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>system_ARMCM3.c File Reference</title>
+<title>CMSIS-DSP: system_ARMCM3.c File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_class_marks_example/GCC/Startup/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_cmplx_conj_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#ga3a102aead6460ad9fcb0626f6b226ffb">arm_cmplx_conj_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex conjugate.  <a href="group__cmplx__conj.html#ga3a102aead6460ad9fcb0626f6b226ffb"></a><br/></td></tr>
+<tr class="separator:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_7e8aa87db1ad6b3d9b1f25792e7c5208.html">Source</a></li><li class="navelem"><a class="el" href="dir_640aa2eed9b78c9534642de10c55cd76.html">ComplexMathFunctions</a></li><li class="navelem"><a class="el" href="arm__cmplx__conj__f32_8c.html">arm_cmplx_conj_f32.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:31 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a class="anchor" id="ae69b72fb0be5dab9a0ea76e9b6995cb6"></a>
+<div class="memitem">
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<div class="memitem">
+<div class="memproto">
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<div class="memitem">
+<div class="memproto">
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+<div class="memitem">
+<div class="memproto">
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+<div class="memitem">
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> armRecipTableQ15[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of CFFT_CIFFT group </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae6056f6c4e8f7e494445196bf864479"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> armRecipTableQ31[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1dec82d596780f1a66ef4f76f137c1d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinTable_f32[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for the generation of the floating-point sine table: <pre>
+tableSize = 512;    
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]=sin(2*pi*n/tableSize);    
+}</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where pi value is 3.14159265358979 </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32()</a>, <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32()</a>, and <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cbcfe313f61add745ebfeddb4fecd55"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> sinTable_q15[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Table values are in Q15 (1.15 fixed-point format) and generation is done in three steps. First, generate sin values in floating point: <pre>
+tableSize = 512;      
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]= sin(2*pi*n/tableSize);    
+} </pre> where pi value is 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Second, convert floating-point to Q15 (Fixed point): (sinTable[i] * pow(2, 15)) </dd></dl>
+<dl class="section user"><dt></dt><dd>Finally, round to the nearest integer value: sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15()</a>, and <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8bfccee9e1c0042cf4a765f4b19d097d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinTable_q31[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Table values are in Q31 (1.31 fixed-point format) and generation is done in three steps. First, generate sin values in floating point: <pre>
+tableSize = 512;      
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]= sin(2*pi*n/tableSize);    
+} </pre> where pi value is 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Second, convert floating-point to Q31 (Fixed point): (sinTable[i] * pow(2, 31)) </dd></dl>
+<dl class="section user"><dt></dt><dd>Finally, round to the nearest integer value: sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31()</a>, <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31()</a>, and <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7d8d3aa9898d557385748a13c959a4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_1024[1024]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af089dd2fe1a543d40a3325982bf45e7c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_128[128]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a749a5995ebd433a163f7adc474dabcaa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_2048[2048]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c5c161dd469d8e6806664956dae31f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_256[256]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5992afe8574289cd71921651b80bd57d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_32[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point RFFT Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Real and Imag values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8013d68dd2476c86b77173bb98b87b29"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_4096[4096]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a94bd2fc98798f87003fef5cd0c04d1f5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_512[512]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2759d8789e1e6ae2ba7fb8d7f5e9c2ab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_64[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<a href="#define-members">Macros</a> &#124;
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+<div class="title">arm_common_tables.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:a9bf8c85e4c91b9b55818b3d650d2c761"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__common__tables_8h.html#a9bf8c85e4c91b9b55818b3d650d2c761">twiddleCoef</a></td></tr>
+<tr class="separator:a9bf8c85e4c91b9b55818b3d650d2c761"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a52289ebb691669410fbc40d1a8a1562a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__common__tables_8h.html#a52289ebb691669410fbc40d1a8a1562a">ARMBITREVINDEXTABLE__16_TABLE_LENGTH</a></td></tr>
+<tr class="separator:a52289ebb691669410fbc40d1a8a1562a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e12fc7073f15899078a1b2d8f4afb4c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__common__tables_8h.html#a6e12fc7073f15899078a1b2d8f4afb4c">ARMBITREVINDEXTABLE__32_TABLE_LENGTH</a></td></tr>
+<tr class="separator:a6e12fc7073f15899078a1b2d8f4afb4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73e1987baf5282c699168bccf635930e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__common__tables_8h.html#a73e1987baf5282c699168bccf635930e">ARMBITREVINDEXTABLE__64_TABLE_LENGTH</a></td></tr>
+<tr class="separator:a73e1987baf5282c699168bccf635930e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abb73376f7efda869394aab2acef4291c"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__common__tables_8h.html#abb73376f7efda869394aab2acef4291c">ARMBITREVINDEXTABLE_128_TABLE_LENGTH</a></td></tr>
+<tr class="separator:abb73376f7efda869394aab2acef4291c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<h2 class="groupheader">Macro Definition Documentation</h2>
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+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+</div>
+</div>
+<a class="anchor" id="a1137f42be79c5941e942b58e262b5225"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE2048_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af08eb635c0e1cf0ab3e29931f9bf1492"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE4096_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="abb73376f7efda869394aab2acef4291c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7dc18c3b4f8d76f5a29f7b182007934"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab21231782baf177ef3edad11aeba5a4f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a52289ebb691669410fbc40d1a8a1562a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE__16_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6e12fc7073f15899078a1b2d8f4afb4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE__32_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73e1987baf5282c699168bccf635930e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE__64_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab78db333c5f36a927cf5f6b492e93dd3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a7dbfc9019953b525d83184a50f9976cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="acbf48883fbb31d3dc71d232aa8e8f91f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aa3b70f6b0a87ecd706fc51bb3551977b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ac0711126d0e162366ec7d0ebcb2a4420"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a5486cba85dce51ffbfe6c0475882cc82"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a1dfdb9f7a5ad88ba7105c6cbc7e2c76e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aaa9ecdc043a73fa12c941cbe6613f9fa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ae53dc7c3198f9cfb5393e3a2644a12ac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a9bf8c85e4c91b9b55818b3d650d2c761"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define twiddleCoef</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ae69b72fb0be5dab9a0ea76e9b6995cb6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable1024[<a class="el" href="arm__common__tables_8h.html#af3b3659a55efaf414757d15e6c0ea9cc">ARMBITREVINDEXTABLE1024_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a04711bbb245f2ac7202db666eaaf10f2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable128[<a class="el" href="arm__common__tables_8h.html#abb73376f7efda869394aab2acef4291c">ARMBITREVINDEXTABLE_128_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ab065857509fe5780d79fdcdce801cb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable16[<a class="el" href="arm__common__tables_8h.html#a52289ebb691669410fbc40d1a8a1562a">ARMBITREVINDEXTABLE__16_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a68b7fcd07ae5433082e600dc7e7c7430"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable2048[<a class="el" href="arm__common__tables_8h.html#a1137f42be79c5941e942b58e262b5225">ARMBITREVINDEXTABLE2048_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a77b17c8e7539af315c57de27610d8407"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable256[<a class="el" href="arm__common__tables_8h.html#aa7dc18c3b4f8d76f5a29f7b182007934">ARMBITREVINDEXTABLE_256_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afae094ea3df14c134012c4cb7b816637"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable32[<a class="el" href="arm__common__tables_8h.html#a6e12fc7073f15899078a1b2d8f4afb4c">ARMBITREVINDEXTABLE__32_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac6bd23609f5bb10182e8eae65400541b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable4096[<a class="el" href="arm__common__tables_8h.html#af08eb635c0e1cf0ab3e29931f9bf1492">ARMBITREVINDEXTABLE4096_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a297a311183fb6d17d7ee0152ad1e43f3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable512[<a class="el" href="arm__common__tables_8h.html#ab21231782baf177ef3edad11aeba5a4f">ARMBITREVINDEXTABLE_512_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aafcb5c9203dada88ed6d1bdcf16aaba4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable64[<a class="el" href="arm__common__tables_8h.html#a73e1987baf5282c699168bccf635930e">ARMBITREVINDEXTABLE__64_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a579beb19201fab01210c37253447fa52"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_1024[<a class="el" href="arm__common__tables_8h.html#ab78db333c5f36a927cf5f6b492e93dd3">ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aa10281deffc0cb708a08d55cfa513507"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_128[<a class="el" href="arm__common__tables_8h.html#aa3b70f6b0a87ecd706fc51bb3551977b">ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a6c3b510a7d499dccaaea1ff164397ffb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_16[<a class="el" href="arm__common__tables_8h.html#a1dfdb9f7a5ad88ba7105c6cbc7e2c76e">ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ad888a207e20f601ed80b2ad43428c8cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_2048[<a class="el" href="arm__common__tables_8h.html#a7dbfc9019953b525d83184a50f9976cc">ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a721d01114016584629f03c0af37dd21e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_256[<a class="el" href="arm__common__tables_8h.html#ac0711126d0e162366ec7d0ebcb2a4420">ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a59710415522cc38defa30402021f1f6b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_32[<a class="el" href="arm__common__tables_8h.html#aaa9ecdc043a73fa12c941cbe6613f9fa">ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a2db644df1e878209441166cbb8d0db4f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_4096[<a class="el" href="arm__common__tables_8h.html#acbf48883fbb31d3dc71d232aa8e8f91f">ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a03d1de7bfc5f318bc4fcfddd920bcb5a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_512[<a class="el" href="arm__common__tables_8h.html#a5486cba85dce51ffbfe6c0475882cc82">ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af9e1bbd7d535806a170786b069863b47"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevIndexTable_fixed_64[<a class="el" href="arm__common__tables_8h.html#ae53dc7c3198f9cfb5393e3a2644a12ac">ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a56d3642e4ee33e3ada57ff11ecda1498"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> armRecipTableQ15[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of CFFT_CIFFT group </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae6056f6c4e8f7e494445196bf864479"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> armRecipTableQ31[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1dec82d596780f1a66ef4f76f137c1d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinTable_f32[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for the generation of the floating-point sine table: <pre>
+tableSize = 512;    
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]=sin(2*pi*n/tableSize);    
+}</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where pi value is 3.14159265358979 </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32()</a>, <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32()</a>, and <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cbcfe313f61add745ebfeddb4fecd55"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> sinTable_q15[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Table values are in Q15 (1.15 fixed-point format) and generation is done in three steps. First, generate sin values in floating point: <pre>
+tableSize = 512;      
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]= sin(2*pi*n/tableSize);    
+} </pre> where pi value is 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Second, convert floating-point to Q15 (Fixed point): (sinTable[i] * pow(2, 15)) </dd></dl>
+<dl class="section user"><dt></dt><dd>Finally, round to the nearest integer value: sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15()</a>, and <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8bfccee9e1c0042cf4a765f4b19d097d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinTable_q31[<a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>+1]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Table values are in Q31 (1.31 fixed-point format) and generation is done in three steps. First, generate sin values in floating point: <pre>
+tableSize = 512;      
+for(n = 0; n &lt; (tableSize + 1); n++)    
+{    
+     sinTable[n]= sin(2*pi*n/tableSize);    
+} </pre> where pi value is 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Second, convert floating-point to Q31 (Fixed point): (sinTable[i] * pow(2, 31)) </dd></dl>
+<dl class="section user"><dt></dt><dd>Finally, round to the nearest integer value: sinTable[i] += (sinTable[i] &gt; 0 ? 0.5 :-0.5); </dd></dl>
+
+<p>Referenced by <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31()</a>, <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31()</a>, and <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7d8d3aa9898d557385748a13c959a4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_1024[1024]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af089dd2fe1a543d40a3325982bf45e7c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_128[128]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a749a5995ebd433a163f7adc474dabcaa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_2048[2048]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c5c161dd469d8e6806664956dae31f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_256[256]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5992afe8574289cd71921651b80bd57d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_32[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point RFFT Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Real and Imag values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8013d68dd2476c86b77173bb98b87b29"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_4096[4096]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a94bd2fc98798f87003fef5cd0c04d1f5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_512[512]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2759d8789e1e6ae2ba7fb8d7f5e9c2ab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_rfft_64[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
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+<div class="contents">
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:a27127e9d3deb59df12747233b1b9ea31"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a27127e9d3deb59df12747233b1b9ea31">arm_cfft_sR_f32_len16</a></td></tr>
+<tr class="separator:a27127e9d3deb59df12747233b1b9ea31"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5fed2b5e0cc4cb5b8675f14daf226a25"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a5fed2b5e0cc4cb5b8675f14daf226a25">arm_cfft_sR_f32_len32</a></td></tr>
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+<tr class="separator:a420622d75b277070784083ddd44b95fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abfc9595f40a1c7aaba85e1328d824b1c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#abfc9595f40a1c7aaba85e1328d824b1c">arm_cfft_sR_q31_len4096</a></td></tr>
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+<tr class="memitem:a7ed661717c58b18f3e557daa72f2b91b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a7ed661717c58b18f3e557daa72f2b91b">arm_cfft_sR_q15_len16</a></td></tr>
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+<tr class="separator:a8d5426a822a6017235b5e10119606a90"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a95c216e7dcfd59a8d40ef55ac223a749"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a95c216e7dcfd59a8d40ef55ac223a749">arm_cfft_sR_q15_len64</a></td></tr>
+<tr class="separator:a95c216e7dcfd59a8d40ef55ac223a749"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a736a97efd37c6386dab8db730904f69b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a736a97efd37c6386dab8db730904f69b">arm_cfft_sR_q15_len128</a></td></tr>
+<tr class="separator:a736a97efd37c6386dab8db730904f69b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad80be0db1ea40c66b079404c48d2dcf4"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#ad80be0db1ea40c66b079404c48d2dcf4">arm_cfft_sR_q15_len256</a></td></tr>
+<tr class="separator:ad80be0db1ea40c66b079404c48d2dcf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a273b91ec86bb2bd8ac14e69252d487fb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a273b91ec86bb2bd8ac14e69252d487fb">arm_cfft_sR_q15_len512</a></td></tr>
+<tr class="separator:a273b91ec86bb2bd8ac14e69252d487fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad343fb2e4cba826f092f9d72c4adc831"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#ad343fb2e4cba826f092f9d72c4adc831">arm_cfft_sR_q15_len1024</a></td></tr>
+<tr class="separator:ad343fb2e4cba826f092f9d72c4adc831"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a92c94dc79c66ec66c95f793aedb964b9"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#a92c94dc79c66ec66c95f793aedb964b9">arm_cfft_sR_q15_len2048</a></td></tr>
+<tr class="separator:a92c94dc79c66ec66c95f793aedb964b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab57c118edaa3260f7f16686152845b18"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8c.html#ab57c118edaa3260f7f16686152845b18">arm_cfft_sR_q15_len4096</a></td></tr>
+<tr class="separator:ab57c118edaa3260f7f16686152845b18"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a05abc294a9159abbd6ffb4f188fe18b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a12">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad283193397ba476465a330db9a955973"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a27127e9d3deb59df12747233b1b9ea31"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a8d2fad347dcadc47377e1226231b9f62"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aeb2f0a0be605963264217cc10b7bd3b2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a5fed2b5e0cc4cb5b8675f14daf226a25"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a01d2dbdb8193d43c2b7f003f9cb9a39d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a15f6e533f5cfeb014839303d8ed52e19"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af94d90db836f662321946154c76b5b80"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ad343fb2e4cba826f092f9d72c4adc831"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a736a97efd37c6386dab8db730904f69b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ed661717c58b18f3e557daa72f2b91b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a92c94dc79c66ec66c95f793aedb964b9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad80be0db1ea40c66b079404c48d2dcf4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d5426a822a6017235b5e10119606a90"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab57c118edaa3260f7f16686152845b18"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a273b91ec86bb2bd8ac14e69252d487fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a95c216e7dcfd59a8d40ef55ac223a749"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada9813a027999f3cff066c9f7b5df51b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a2fcdb54300f75ef1fafe02954e9a61"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1336431c4d2a88d32c42308cfe2defa1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a420622d75b277070784083ddd44b95fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f2de67938bd228918e40f60f18dd6b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4c083c013ef17920cf8f28dc6f139a39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abfc9595f40a1c7aaba85e1328d824b1c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa337272cf78aaf6075e7e19d0a097d6f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad11668a5662334e0bc6a2811c9cb1047"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
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+<tr class="separator:a95c216e7dcfd59a8d40ef55ac223a749"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a736a97efd37c6386dab8db730904f69b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8h.html#a736a97efd37c6386dab8db730904f69b">arm_cfft_sR_q15_len128</a></td></tr>
+<tr class="separator:a736a97efd37c6386dab8db730904f69b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad80be0db1ea40c66b079404c48d2dcf4"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8h.html#ad80be0db1ea40c66b079404c48d2dcf4">arm_cfft_sR_q15_len256</a></td></tr>
+<tr class="separator:ad80be0db1ea40c66b079404c48d2dcf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a273b91ec86bb2bd8ac14e69252d487fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad343fb2e4cba826f092f9d72c4adc831"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__const__structs_8h.html#ad343fb2e4cba826f092f9d72c4adc831">arm_cfft_sR_q15_len1024</a></td></tr>
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+<tr class="separator:ab57c118edaa3260f7f16686152845b18"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a05abc294a9159abbd6ffb4f188fe18b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad283193397ba476465a330db9a955973"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a27127e9d3deb59df12747233b1b9ea31"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a8d2fad347dcadc47377e1226231b9f62"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aeb2f0a0be605963264217cc10b7bd3b2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a5fed2b5e0cc4cb5b8675f14daf226a25"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a01d2dbdb8193d43c2b7f003f9cb9a39d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a15f6e533f5cfeb014839303d8ed52e19"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af94d90db836f662321946154c76b5b80"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_cfft_sR_f32_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ad343fb2e4cba826f092f9d72c4adc831"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a736a97efd37c6386dab8db730904f69b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ed661717c58b18f3e557daa72f2b91b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a92c94dc79c66ec66c95f793aedb964b9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad80be0db1ea40c66b079404c48d2dcf4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d5426a822a6017235b5e10119606a90"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab57c118edaa3260f7f16686152845b18"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a273b91ec86bb2bd8ac14e69252d487fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a95c216e7dcfd59a8d40ef55ac223a749"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> arm_cfft_sR_q15_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada9813a027999f3cff066c9f7b5df51b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len1024</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a2fcdb54300f75ef1fafe02954e9a61"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len128</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1336431c4d2a88d32c42308cfe2defa1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len16</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a420622d75b277070784083ddd44b95fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len2048</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f2de67938bd228918e40f60f18dd6b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len256</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4c083c013ef17920cf8f28dc6f139a39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abfc9595f40a1c7aaba85e1328d824b1c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len4096</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa337272cf78aaf6075e7e19d0a097d6f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len512</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad11668a5662334e0bc6a2811c9cb1047"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> arm_cfft_sR_q31_len64</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
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+<tr class="memitem:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of floating-point sequences.  <a href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89"></a><br/></td></tr>
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+<tr class="memitem:gaf16f490d245391ec18a42adc73d6d749"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:gaf16f490d245391ec18a42adc73d6d749"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749"></a><br/></td></tr>
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+<a href="#func-members">Functions</a> &#124;
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+  <div class="headertitle">
+<div class="title">arm_convolution_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
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+        </tr>
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+</div><div class="memdoc">
+
+</div>
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+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_6ba48a5a8374668719ef019fe5c253cc.html">ARM</a></li><li class="navelem"><a class="el" href="dir_b5d45ad7eb5bf398416f62f8980ddf77.html">RTE</a></li><li class="navelem"><a class="el" href="dir_fa76c9f4334252cb8d941364a7ed9feb.html">Device</a></li><li class="navelem"><a class="el" href="dir_e677fc34f5347e58d43c339b53e9b418.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
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+Functions</h2></td></tr>
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+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
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+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_6ba48a5a8374668719ef019fe5c253cc.html">ARM</a></li><li class="navelem"><a class="el" href="dir_b5d45ad7eb5bf398416f62f8980ddf77.html">RTE</a></li><li class="navelem"><a class="el" href="dir_fa76c9f4334252cb8d941364a7ed9feb.html">Device</a></li><li class="navelem"><a class="el" href="dir_1bf7dc2439436c9055bff1493a609d16.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<a href="#define-members">Macros</a> &#124;
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+<a href="#var-members">Variables</a>  </div>
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+<div class="title">arm_convolution_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_6ba48a5a8374668719ef019fe5c253cc.html">ARM</a></li><li class="navelem"><a class="el" href="dir_b5d45ad7eb5bf398416f62f8980ddf77.html">RTE</a></li><li class="navelem"><a class="el" href="dir_fa76c9f4334252cb8d941364a7ed9feb.html">Device</a></li><li class="navelem"><a class="el" href="dir_5ac065bab6b325e909a2891e62c4bc06.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_convolution_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_6ba48a5a8374668719ef019fe5c253cc.html">ARM</a></li><li class="navelem"><a class="el" href="dir_b5d45ad7eb5bf398416f62f8980ddf77.html">RTE</a></li><li class="navelem"><a class="el" href="dir_fa76c9f4334252cb8d941364a7ed9feb.html">Device</a></li><li class="navelem"><a class="el" href="dir_45f8bb2d42ec552d5107a3dfe6860678.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace1e1f7b72573d1934782ec999a04f99"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow</a> (uint32_t numShifts)</td></tr>
+<tr class="memdesc:ace1e1f7b72573d1934782ec999a04f99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#ace1e1f7b72573d1934782ec999a04f99"></a><br/></td></tr>
+<tr class="separator:ace1e1f7b72573d1934782ec999a04f99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a19">arm_convolution_example_f32.c</a>, <a class="el" href="arm_fir_example_f32_8c-example.html#a16">arm_fir_example_f32.c</a>, <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a29">arm_graphic_equalizer_example_q31.c</a>, <a class="el" href="arm_linear_interp_example_f32_8c-example.html#a14">arm_linear_interp_example_f32.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#a15">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_6ba48a5a8374668719ef019fe5c253cc.html">ARM</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html">math_helper.c</a></li>
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diff --git a/Documentation/DSP/html/arm__convolution__example_2_a_r_m_2math__helper_8h.html b/Documentation/DSP/html/arm__convolution__example_2_a_r_m_2math__helper_8h.html
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+<title>math_helper.h File Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_convolution_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
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+<table class="memberdecls">
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+Variables</h2></td></tr>
+<tr class="memitem:adc5db9f8d5aa735dbce2dc35f184d85e"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
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+<tr class="separator:adc5db9f8d5aa735dbce2dc35f184d85e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="adc5db9f8d5aa735dbce2dc35f184d85e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">CMSIS DSP_Lib example arm_convolution_example for Cortex M0</td>
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+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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diff --git a/Documentation/DSP/html/arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html b/Documentation/DSP/html/arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<table class="memberdecls">
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+Macros</h2></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
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+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
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+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_9ec4a86676306e0fd116a00bf2906438.html">GCC</a></li><li class="navelem"><a class="el" href="dir_ba345a22c23c468dbe342a31a3980d31.html">Startup</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_convolution_example/GCC/Startup/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
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+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
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+  <div class="headertitle">
+<div class="title">arm_convolution_example/GCC/Startup/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
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+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
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+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_convolution_example/GCC/math_helper.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a392f7c2e7ab9bb58931c4efb56693029"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_provide_guard_bits_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a392f7c2e7ab9bb58931c4efb56693029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#a392f7c2e7ab9bb58931c4efb56693029"></a><br/></td></tr>
+<tr class="separator:a392f7c2e7ab9bb58931c4efb56693029"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace1e1f7b72573d1934782ec999a04f99"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow</a> (uint32_t numShifts)</td></tr>
+<tr class="memdesc:ace1e1f7b72573d1934782ec999a04f99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#ace1e1f7b72573d1934782ec999a04f99"></a><br/></td></tr>
+<tr class="separator:ace1e1f7b72573d1934782ec999a04f99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_9ec4a86676306e0fd116a00bf2906438.html">GCC</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html">math_helper.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/arm__convolution__example_2_g_c_c_2math__helper_8h.html b/Documentation/DSP/html/arm__convolution__example_2_g_c_c_2math__helper_8h.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/arm__convolution__example_2_g_c_c_2math__helper_8h.html
@@ -0,0 +1,697 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>math_helper.h File Reference</title>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_convolution_example/GCC/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_0bd53153155fe3870c529e4f415d4a7e.html">arm_convolution_example</a></li><li class="navelem"><a class="el" href="dir_9ec4a86676306e0fd116a00bf2906438.html">GCC</a></li><li class="navelem"><a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html">math_helper.h</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_copy_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gadd1f737e677e0e6ca31767c7001417b3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gadd1f737e677e0e6ca31767c7001417b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the elements of a floating-point vector.  <a href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3"></a><br/></td></tr>
+<tr class="separator:gadd1f737e677e0e6ca31767c7001417b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
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+<tr class="memdesc:ga5ec96b8e420d68b0e626df0812274d46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q15 sequences.  <a href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46"></a><br/></td></tr>
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+<a href="#func-members">Functions</a> &#124;
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+<div class="contents">
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+<tr class="memdesc:ga631bb59c7c97c814ff7147ecba6a716a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 DCT4/IDCT4.  <a href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a"></a><br/></td></tr>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_eaa4f497a3f9bf201d37aaf8d8603deb.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8f74d965c767f9f408b01fb8ac42c08d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_5f5bccfc6fe085bc51be756ab8f90283.html">Device</a></li><li class="navelem"><a class="el" href="dir_b88714652b8aa1e1c1599fa05e2dbc2f.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_eaa4f497a3f9bf201d37aaf8d8603deb.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8f74d965c767f9f408b01fb8ac42c08d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_5f5bccfc6fe085bc51be756ab8f90283.html">Device</a></li><li class="navelem"><a class="el" href="dir_2089eff899a94c0329c5038f55baabab.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
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+<a href="#var-members">Variables</a>  </div>
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+<div class="title">arm_dotproduct_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_eaa4f497a3f9bf201d37aaf8d8603deb.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8f74d965c767f9f408b01fb8ac42c08d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_5f5bccfc6fe085bc51be756ab8f90283.html">Device</a></li><li class="navelem"><a class="el" href="dir_33ac94cce96a0d93808878c5f6f288bf.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_eaa4f497a3f9bf201d37aaf8d8603deb.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8f74d965c767f9f408b01fb8ac42c08d.html">RTE</a></li><li class="navelem"><a class="el" href="dir_5f5bccfc6fe085bc51be756ab8f90283.html">Device</a></li><li class="navelem"><a class="el" href="dir_7d4cec4b61e1207b4d4e94667e8b33c4.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
index 0000000..4015a0c
--- /dev/null
+++ b/Documentation/DSP/html/arm__dotproduct__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html
@@ -0,0 +1,129 @@
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>RTE_Components.h File Reference</title>
+<title>CMSIS-DSP: RTE_Components.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<div class="title">arm_dotproduct_example/ARM/RTE/RTE_Components.h File Reference</div>  </div>
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+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_eaa4f497a3f9bf201d37aaf8d8603deb.html">ARM</a></li><li class="navelem"><a class="el" href="dir_8f74d965c767f9f408b01fb8ac42c08d.html">RTE</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html">RTE_Components.h</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/arm__dotproduct__example_2_g_c_c_2_abstract_8txt.html b/Documentation/DSP/html/arm__dotproduct__example_2_g_c_c_2_abstract_8txt.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Abstract.txt File Reference</title>
+<title>CMSIS-DSP: Abstract.txt File Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+  <div class="summary">
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">Abstract.txt File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aafffda4c4e9b93a580e5a8cc96c11e37"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
+arm_dotproduct_example for <br class="typebreak"/>
+Cortex&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_abstract_8txt.html#aafffda4c4e9b93a580e5a8cc96c11e37">M0</a></td></tr>
+<tr class="separator:aafffda4c4e9b93a580e5a8cc96c11e37"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aafffda4c4e9b93a580e5a8cc96c11e37"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">CMSIS DSP_Lib example arm_dotproduct_example for Cortex M0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_abstract_8txt.html">Abstract.txt</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:31 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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diff --git a/Documentation/DSP/html/arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html b/Documentation/DSP/html/arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html
new file mode 100644
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+++ b/Documentation/DSP/html/arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html
@@ -0,0 +1,254 @@
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example/GCC/Startup/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
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+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
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+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
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+
+</div>
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+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1d61a1361fc579da85c1b709ed868d7.html">arm_dotproduct_example</a></li><li class="navelem"><a class="el" href="dir_99f4521c725f0e333e2b206f562a5db7.html">GCC</a></li><li class="navelem"><a class="el" href="dir_555dbbdc9f25fff28408fc741ceff093.html">Startup</a></li><li class="navelem"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example/GCC/Startup/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
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+          <td class="memname">uint32_t SystemCoreClock</td>
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+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
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+<title>CMSIS-DSP: system_ARMCM0.c File Reference</title>
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
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+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_38d31328c42027cc5452e7496de7b88f.html">arm_fft_bin_example</a></li><li class="navelem"><a class="el" href="dir_59a4e177523ec142602b8d9a69e8f1ad.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3963cad04f3c79af62d382ba0bd29283.html">RTE</a></li><li class="navelem"><a class="el" href="dir_424029d631ed0326d927fecdf0eb5714.html">Device</a></li><li class="navelem"><a class="el" href="dir_8e3293b977a6b314227f0cbb91dff730.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+</html>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_38d31328c42027cc5452e7496de7b88f.html">arm_fft_bin_example</a></li><li class="navelem"><a class="el" href="dir_59a4e177523ec142602b8d9a69e8f1ad.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3963cad04f3c79af62d382ba0bd29283.html">RTE</a></li><li class="navelem"><a class="el" href="dir_424029d631ed0326d927fecdf0eb5714.html">Device</a></li><li class="navelem"><a class="el" href="dir_a318715356e0ddd7f0022cb090f89fc2.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_38d31328c42027cc5452e7496de7b88f.html">arm_fft_bin_example</a></li><li class="navelem"><a class="el" href="dir_59a4e177523ec142602b8d9a69e8f1ad.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3963cad04f3c79af62d382ba0bd29283.html">RTE</a></li><li class="navelem"><a class="el" href="dir_424029d631ed0326d927fecdf0eb5714.html">Device</a></li><li class="navelem"><a class="el" href="dir_b175b6a1b0e91b31e821dead0757e039.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_38d31328c42027cc5452e7496de7b88f.html">arm_fft_bin_example</a></li><li class="navelem"><a class="el" href="dir_59a4e177523ec142602b8d9a69e8f1ad.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3963cad04f3c79af62d382ba0bd29283.html">RTE</a></li><li class="navelem"><a class="el" href="dir_424029d631ed0326d927fecdf0eb5714.html">Device</a></li><li class="navelem"><a class="el" href="dir_09e8ef8785a41675b984fd022d87f1bc.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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diff --git a/Documentation/DSP/html/arm__fft__bin__example_2_g_c_c_2_abstract_8txt.html b/Documentation/DSP/html/arm__fft__bin__example_2_g_c_c_2_abstract_8txt.html
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+Variables</h2></td></tr>
+<tr class="memitem:ad0415ef995ebc3fc2ad584da9907dcb5"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
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+          <td class="memname">CMSIS DSP_Lib example arm_fft_bin_example for Cortex M0</td>
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+</div><div class="memdoc">
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diff --git a/Documentation/DSP/html/arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html b/Documentation/DSP/html/arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/GCC/Startup/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
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+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/GCC/Startup/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example/GCC/Startup/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2248e8d3901b4afb7827163132baad94"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> value, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2248e8d3901b4afb7827163132baad94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fills a constant value into a floating-point vector.  <a href="group___fill.html#ga2248e8d3901b4afb7827163132baad94"></a><br/></td></tr>
+<tr class="separator:ga2248e8d3901b4afb7827163132baad94"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abf726d1cea9345acb0021535d4fdd5af"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="abf726d1cea9345acb0021535d4fdd5af"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">CMSIS DSP_Lib example arm_fir_example for Cortex M0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
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+</div><!-- contents -->
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+  <ul>
+    <li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_abstract_8txt.html">Abstract.txt</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:31 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<title>system_ARMCM0.c File Reference</title>
+<title>CMSIS-DSP: system_ARMCM0.c File Reference</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+    <ul class="tablist">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3f2a337fe451aa47758dbb077bdba7b5.html">RTE</a></li><li class="navelem"><a class="el" href="dir_f31395880d34591c756e13478059d1a5.html">Device</a></li><li class="navelem"><a class="el" href="dir_1ca531cbfb5f1e8e78bee380ead506db.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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new file mode 100644
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+++ b/Documentation/DSP/html/arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html
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+  <td style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3f2a337fe451aa47758dbb077bdba7b5.html">RTE</a></li><li class="navelem"><a class="el" href="dir_f31395880d34591c756e13478059d1a5.html">Device</a></li><li class="navelem"><a class="el" href="dir_d3331dca3948a91095eeb99d07575db0.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="title">arm_fir_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
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+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3f2a337fe451aa47758dbb077bdba7b5.html">RTE</a></li><li class="navelem"><a class="el" href="dir_f31395880d34591c756e13478059d1a5.html">Device</a></li><li class="navelem"><a class="el" href="dir_4e28292bc057704f3d2041cc99d8a5e9.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+   <div id="projectname">CMSIS-DSP
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Variables</h2></td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3f2a337fe451aa47758dbb077bdba7b5.html">RTE</a></li><li class="navelem"><a class="el" href="dir_f31395880d34591c756e13478059d1a5.html">Device</a></li><li class="navelem"><a class="el" href="dir_6fa7a20b876299d97755d41c2d48a6a5.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
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+	<!--
+    <a href="http://www.doxygen.org/index.html">
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new file mode 100644
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-DSP: RTE_Components.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+<div class="title">arm_fir_example/ARM/RTE/RTE_Components.h File Reference</div>  </div>
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="dir_3f2a337fe451aa47758dbb077bdba7b5.html">RTE</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html">RTE_Components.h</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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diff --git a/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8c.html b/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8c.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8c.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>math_helper.c File Reference</title>
+<title>CMSIS-DSP: math_helper.c File Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example/ARM/math_helper.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a392f7c2e7ab9bb58931c4efb56693029"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_provide_guard_bits_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a392f7c2e7ab9bb58931c4efb56693029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#a392f7c2e7ab9bb58931c4efb56693029"></a><br/></td></tr>
+<tr class="separator:a392f7c2e7ab9bb58931c4efb56693029"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace1e1f7b72573d1934782ec999a04f99"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow</a> (uint32_t numShifts)</td></tr>
+<tr class="memdesc:ace1e1f7b72573d1934782ec999a04f99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#ace1e1f7b72573d1934782ec999a04f99"></a><br/></td></tr>
+<tr class="separator:ace1e1f7b72573d1934782ec999a04f99"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html">math_helper.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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diff --git a/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8h.html b/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8h.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/arm__fir__example_2_a_r_m_2math__helper_8h.html
@@ -0,0 +1,697 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>math_helper.h File Reference</title>
+<title>CMSIS-DSP: math_helper.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
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+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_dcc7392e27ceedcb8fca5c4cd07c4b5c.html">arm_fir_example</a></li><li class="navelem"><a class="el" href="dir_68b896fe322128a858fd31091509f536.html">ARM</a></li><li class="navelem"><a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html">math_helper.h</a></li>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abc004a7fade488e72310fd96c0a101dc"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a></td></tr>
+<tr class="separator:abc004a7fade488e72310fd96c0a101dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af7d1dd4deffa8e7ed6429e5dd0fe1812"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">SNR_THRESHOLD_F32</a></td></tr>
+<tr class="separator:af7d1dd4deffa8e7ed6429e5dd0fe1812"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad51ded0bbd705f02f73fc60c0b721ced"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a></td></tr>
+<tr class="separator:ad51ded0bbd705f02f73fc60c0b721ced"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7579d94e0a80fb9d376ea6c7897f73b0"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a></td></tr>
+<tr class="separator:a7579d94e0a80fb9d376ea6c7897f73b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a52d2cba30e6946c95578be946ac12a65"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main</a> (void)</td></tr>
+<tr class="separator:a52d2cba30e6946c95578be946ac12a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:a35d190391c204b677e2839d76ede6e8b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#a35d190391c204b677e2839d76ede6e8b">testInput_f32_1kHz_15kHz</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td></tr>
+<tr class="separator:a35d190391c204b677e2839d76ede6e8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a12d0acaa028f1dcd964d2d188e7df331"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#a12d0acaa028f1dcd964d2d188e7df331">refOutput</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td></tr>
+<tr class="separator:a12d0acaa028f1dcd964d2d188e7df331"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd4d61aad5f35a4e42d580004e2f9a1d"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td></tr>
+<tr class="separator:afd4d61aad5f35a4e42d580004e2f9a1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a46d61cabe5cb207f2776e1d4f8ca0f38"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#a46d61cabe5cb207f2776e1d4f8ca0f38">firStateF32</a> [<a class="el" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a>+<a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>-1]</td></tr>
+<tr class="separator:a46d61cabe5cb207f2776e1d4f8ca0f38"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae070afd14f437ad1ae0a947e4403dd0e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#ae070afd14f437ad1ae0a947e4403dd0e">firCoeffs32</a> [<a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>]</td></tr>
+<tr class="separator:ae070afd14f437ad1ae0a947e4403dd0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab6558f40a619c2502fbc24c880fd4fb0"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a></td></tr>
+<tr class="separator:ab6558f40a619c2502fbc24c880fd4fb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af7d5613bda9a19b2ccae5d6cb79a22bc"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#af7d5613bda9a19b2ccae5d6cb79a22bc">numBlocks</a></td></tr>
+<tr class="separator:af7d5613bda9a19b2ccae5d6cb79a22bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af06013f588a7003278de222913c9d819"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__fir__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a></td></tr>
+<tr class="separator:af06013f588a7003278de222913c9d819"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ad51ded0bbd705f02f73fc60c0b721ced"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define BLOCK_SIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a5">arm_fir_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="a7579d94e0a80fb9d376ea6c7897f73b0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUM_TAPS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a6">arm_fir_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af7d1dd4deffa8e7ed6429e5dd0fe1812"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define SNR_THRESHOLD_F32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a17">arm_fir_example_f32.c</a>, and <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a30">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32()</a>, <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__fir__example__f32_8c.html#ae070afd14f437ad1ae0a947e4403dd0e">firCoeffs32</a>, <a class="el" href="arm__fir__example__f32_8c.html#a46d61cabe5cb207f2776e1d4f8ca0f38">firStateF32</a>, <a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>, <a class="el" href="arm__fir__example__f32_8c.html#af7d5613bda9a19b2ccae5d6cb79a22bc">numBlocks</a>, <a class="el" href="arm__fir__data_8c.html#aa7570f8c2e7a3c929d9d32a14a51389f">refOutput</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>, <a class="el" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">SNR_THRESHOLD_F32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__fir__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>, <a class="el" href="arm__fir__data_8c.html#a143154a165358f0016714cb7f1c83970">testInput_f32_1kHz_15kHz</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ab6558f40a619c2502fbc24c880fd4fb0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t blockSize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a8">arm_fir_example_f32.c</a>, <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a13">arm_signal_converge_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a3">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a5">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_abs_f32()</a>, <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_abs_q15()</a>, <a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_abs_q31()</a>, <a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_abs_q7()</a>, <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32()</a>, <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15()</a>, <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31()</a>, <a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_add_q7()</a>, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32()</a>, <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64()</a>, <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32()</a>, <a class="el" href="arm__math_8h.html#ae469fac5e1df35f8bcf1b3d7c3136484">arm_circularRead_f32()</a>, <a class="el" href="arm__math_8h.html#ad5fb134f83f2c802261f172e3dceb131">arm_circularRead_q15()</a>, <a class="el" href="arm__math_8h.html#a30aa80ea20abe71f3afa99f2f0391ed5">arm_circularRead_q7()</a>, <a class="el" href="arm__math_8h.html#a6ff56c0896ce00712ba8f2fcf72cacd3">arm_circularWrite_f32()</a>, <a class="el" href="arm__math_8h.html#a3ba2d215477e692def7fda46dda883ed">arm_circularWrite_q15()</a>, <a class="el" href="arm__math_8h.html#addba85b1f7fbd472fd00ddd9ce43aea8">arm_circularWrite_q7()</a>, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32()</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_copy_q31()</a>, <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_copy_q7()</a>, <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_dot_prod_f32()</a>, <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_dot_prod_q15()</a>, <a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_dot_prod_q31()</a>, <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_dot_prod_q7()</a>, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_fill_q31()</a>, <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7()</a>, <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32()</a>, <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15()</a>, <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31()</a>, <a class="el" href="group___f_i_r.html#ga31c91a0bf0962327ef8f626fae68ea32">arm_fir_q7()</a>, <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>, <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>, <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>, <a class="el" href="group__float__to__x.html#ga215456e35a18db86882e1d3f0d24e1f2">arm_float_to_q15()</a>, <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31()</a>, <a class="el" href="group__float__to__x.html#ga44a393818cdee8dce80f2d66add25411">arm_float_to_q7()</a>, <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32()</a>, <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>, <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>, <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>, <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>, <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>, <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32()</a>, <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_mean_q15()</a>, <a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_mean_q31()</a>, <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_mean_q7()</a>, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15()</a>, <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31()</a>, <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7()</a>, <a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_negate_f32()</a>, <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15()</a>, <a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_negate_q31()</a>, <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7()</a>, <a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_offset_f32()</a>, <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_offset_q15()</a>, <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_offset_q31()</a>, <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7()</a>, <a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_power_f32()</a>, <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_power_q15()</a>, <a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_power_q31()</a>, <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_power_q7()</a>, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15()</a>, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31()</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_provide_guard_bits_q7()</a>, <a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_q15_to_float()</a>, <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_q15_to_q31()</a>, <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_q15_to_q7()</a>, <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_q31_to_float()</a>, <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_q31_to_q15()</a>, <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7()</a>, <a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_q7_to_float()</a>, <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_q7_to_q15()</a>, <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_q7_to_q31()</a>, <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32()</a>, <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15()</a>, <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31()</a>, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32()</a>, <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_scale_q15()</a>, <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_scale_q31()</a>, <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7()</a>, <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15()</a>, <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31()</a>, <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7()</a>, <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>, <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15()</a>, <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31()</a>, <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32()</a>, <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_sub_q15()</a>, <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31()</a>, <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7()</a>, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32()</a>, <a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_var_q15()</a>, <a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_var_q31()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae070afd14f437ad1ae0a947e4403dd0e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> firCoeffs32[<a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a7">arm_fir_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a46d61cabe5cb207f2776e1d4f8ca0f38"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> firStateF32[<a class="el" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a>+<a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>-1]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af7d5613bda9a19b2ccae5d6cb79a22bc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t numBlocks</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a9">arm_fir_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a12d0acaa028f1dcd964d2d188e7df331"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> refOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af06013f588a7003278de222913c9d819"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a35d190391c204b677e2839d76ede6e8b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInput_f32_1kHz_15kHz[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd4d61aad5f35a4e42d580004e2f9a1d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
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+<a href="#func-members">Functions</a>  </div>
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+</div><!--header-->
+<div class="contents">
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32</a> (const <a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point FIR filter.  <a href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a"></a><br/></td></tr>
+<tr class="separator:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gac05a17a0188bb851b58d19e572870a54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 FIR lattice filter.  <a href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54"></a><br/></td></tr>
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+<tr class="memitem:gabb0ab07fd313b4d863070c3ddca51542"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15</a> (const <a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="separator:a987ef9f3767fa5e083bcf2dd1efed05c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testRefOutput_f32[320]</td>
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+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
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+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e4eb7b834609f1fe20523c66b23e4a87.html">arm_graphic_equalizer_example</a></li><li class="navelem"><a class="el" href="dir_cd8c33382d73f02781c40066dbd2f0d5.html">ARM</a></li><li class="navelem"><a class="el" href="dir_6f165a89e15e99ac3f22d8f869410ac4.html">RTE</a></li><li class="navelem"><a class="el" href="dir_8964a87ec8901bd068212c6dbdc5667e.html">Device</a></li><li class="navelem"><a class="el" href="dir_3196f85a8347e7c6cf5419f06f7f0a5c.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<div class="header">
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
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+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e4eb7b834609f1fe20523c66b23e4a87.html">arm_graphic_equalizer_example</a></li><li class="navelem"><a class="el" href="dir_cd8c33382d73f02781c40066dbd2f0d5.html">ARM</a></li><li class="navelem"><a class="el" href="dir_6f165a89e15e99ac3f22d8f869410ac4.html">RTE</a></li><li class="navelem"><a class="el" href="dir_8964a87ec8901bd068212c6dbdc5667e.html">Device</a></li><li class="navelem"><a class="el" href="dir_28efb39eb514d721c34bfd1d219ba1df.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <a href="http://www.doxygen.org/index.html">
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e4eb7b834609f1fe20523c66b23e4a87.html">arm_graphic_equalizer_example</a></li><li class="navelem"><a class="el" href="dir_cd8c33382d73f02781c40066dbd2f0d5.html">ARM</a></li><li class="navelem"><a class="el" href="dir_6f165a89e15e99ac3f22d8f869410ac4.html">RTE</a></li><li class="navelem"><a class="el" href="dir_8964a87ec8901bd068212c6dbdc5667e.html">Device</a></li><li class="navelem"><a class="el" href="dir_677f903d85fbea9a56056645305fd3cb.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e4eb7b834609f1fe20523c66b23e4a87.html">arm_graphic_equalizer_example</a></li><li class="navelem"><a class="el" href="dir_cd8c33382d73f02781c40066dbd2f0d5.html">ARM</a></li><li class="navelem"><a class="el" href="dir_6f165a89e15e99ac3f22d8f869410ac4.html">RTE</a></li><li class="navelem"><a class="el" href="dir_8964a87ec8901bd068212c6dbdc5667e.html">Device</a></li><li class="navelem"><a class="el" href="dir_a9b08443a15a54b29b0454fe878922b3.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
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+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e4eb7b834609f1fe20523c66b23e4a87.html">arm_graphic_equalizer_example</a></li><li class="navelem"><a class="el" href="dir_cd8c33382d73f02781c40066dbd2f0d5.html">ARM</a></li><li class="navelem"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html">math_helper.c</a></li>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_graphic_equalizer_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
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+<a href="#var-members">Variables</a>  </div>
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+<div class="title">arm_graphic_equalizer_example_q31.c File Reference</div>  </div>
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+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="afcf795f5a96fd55561abe69f56224630"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a10">arm_graphic_equalizer_example_q31.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a2">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
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+<a class="anchor" id="a814e34126e1b8150f4de047e1a9e7030"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname">#define NUMBLOCKS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a22">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
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+        <tr>
+          <td class="memname">#define NUMSTAGES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a20">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af7d1dd4deffa8e7ed6429e5dd0fe1812"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define SNR_THRESHOLD_F32</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4f4a95eaace4e7b4e2f5243ed24f6b28"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TESTLENGTH</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a1">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>, <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_q31_to_float()</a>, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32()</a>, <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_scale_q31()</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a8e7062fa3f8b5ed9849566d16270f4ec">biquadStateBand1Q31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4a82090b15ebd0a45048d94f16131782">biquadStateBand2Q31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#ad487a54340631b764952fccf599adc8a">biquadStateBand3Q31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a122ed5f6d8665139fbe9424a073b3474">biquadStateBand4Q31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af88658a8c5f87eeea26da30305921b59">biquadStateBand5Q31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a814e34126e1b8150f4de047e1a9e7030">NUMBLOCKS</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">SNR_THRESHOLD_F32</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a8e7062fa3f8b5ed9849566d16270f4ec"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> biquadStateBand1Q31[4 *2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a4">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a82090b15ebd0a45048d94f16131782"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> biquadStateBand2Q31[4 *2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a5">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad487a54340631b764952fccf599adc8a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> biquadStateBand3Q31[4 *2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a6">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a122ed5f6d8665139fbe9424a073b3474"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> biquadStateBand4Q31[4 *2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a7">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af88658a8c5f87eeea26da30305921b59"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> biquadStateBand5Q31[4 *2]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a8">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a024c59772b9603698b898721c1e8204e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> coeffTable[950]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a12">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a963aee85bb41a50fc943ac9048d123ab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int gainDB[5]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a13">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79521a4d6a9adb144c4d999ae713413c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> inputQ31[<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a9">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9862488450f2547b07aee8035d6b4d8a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> outputQ31[<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a11">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af06013f588a7003278de222913c9d819"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aa4699dc6ee05353c83e0be4e69f6ad05"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInput_f32[<a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a3293e83a154108a1d398bb042e293894"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a9cbbafa975d67bc8ee8ea3260fdd5638"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testRefOutput_f32[<a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<tr class="memitem:ga123b26fa9156cd8d3622dd85931741ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31</a> (const <a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga123b26fa9156cd8d3622dd85931741ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 IIR lattice filter.  <a href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed"></a><br/></td></tr>
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+</div><!--header-->
+<div class="contents">
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+Variables</h2></td></tr>
+<tr class="memitem:a1a5a6c95f39221fcf8129fe478f54696"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__data_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interep_table</a> [188495]</td></tr>
+<tr class="separator:a1a5a6c95f39221fcf8129fe478f54696"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+          <td class="memname">float arm_linear_interep_table[188495]</td>
+        </tr>
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+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a5">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
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+Variables</h2></td></tr>
+<tr class="memitem:a80f8916aca7a5a98fcfc39d1ef743b37"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
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+<tr class="separator:a80f8916aca7a5a98fcfc39d1ef743b37"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="dir_fccaebac91eec4cb351e86457c5d1310.html">RTE</a></li><li class="navelem"><a class="el" href="dir_276d6fac6319afec12f7159fe8d37de0.html">Device</a></li><li class="navelem"><a class="el" href="dir_a368b1aeece590aaffe7782f861e3d24.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
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+        name="MSearchResults" id="MSearchResults">
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+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="dir_fccaebac91eec4cb351e86457c5d1310.html">RTE</a></li><li class="navelem"><a class="el" href="dir_276d6fac6319afec12f7159fe8d37de0.html">Device</a></li><li class="navelem"><a class="el" href="dir_3d1fa2b43a5e654514cd51dbe031762c.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="dir_fccaebac91eec4cb351e86457c5d1310.html">RTE</a></li><li class="navelem"><a class="el" href="dir_276d6fac6319afec12f7159fe8d37de0.html">Device</a></li><li class="navelem"><a class="el" href="dir_3d9b1fb18a6a04e0681aa143a1b11e83.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<div class="header">
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="dir_fccaebac91eec4cb351e86457c5d1310.html">RTE</a></li><li class="navelem"><a class="el" href="dir_276d6fac6319afec12f7159fe8d37de0.html">Device</a></li><li class="navelem"><a class="el" href="dir_446217fa41e7971f13d66a5ff592433f.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html
new file mode 100644
index 0000000..3e11f6f
--- /dev/null
+++ b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2_r_t_e_2_r_t_e___components_8h.html
@@ -0,0 +1,129 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>RTE_Components.h File Reference</title>
+<title>CMSIS-DSP: RTE_Components.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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diff --git a/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8c.html b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8c.html
new file mode 100644
index 0000000..79fa804
--- /dev/null
+++ b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8c.html
@@ -0,0 +1,749 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>math_helper.c File Reference</title>
+<title>CMSIS-DSP: math_helper.c File Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/math_helper.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a392f7c2e7ab9bb58931c4efb56693029"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_provide_guard_bits_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a392f7c2e7ab9bb58931c4efb56693029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#a392f7c2e7ab9bb58931c4efb56693029"></a><br/></td></tr>
+<tr class="separator:a392f7c2e7ab9bb58931c4efb56693029"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace1e1f7b72573d1934782ec999a04f99"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow</a> (uint32_t numShifts)</td></tr>
+<tr class="memdesc:ace1e1f7b72573d1934782ec999a04f99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#ace1e1f7b72573d1934782ec999a04f99"></a><br/></td></tr>
+<tr class="separator:ace1e1f7b72573d1934782ec999a04f99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html">math_helper.c</a></li>
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diff --git a/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8h.html b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8h.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/arm__linear__interp__example_2_a_r_m_2math__helper_8h.html
@@ -0,0 +1,697 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_cf417d728100a167f563acfac33cb7c7.html">arm_linear_interp_example</a></li><li class="navelem"><a class="el" href="dir_34727d50220656242b857ddf64f52361.html">ARM</a></li><li class="navelem"><a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html">math_helper.h</a></li>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
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+<div class="title">arm_linear_interp_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:af08ec3fef897d77c6817638bf0e0c5c6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a></td></tr>
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+<tr class="memitem:abc004a7fade488e72310fd96c0a101dc"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a></td></tr>
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+<tr class="memitem:a0ecae49cebd837aac53411c8f877503d"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#a0ecae49cebd837aac53411c8f877503d">XSPACING</a></td></tr>
+<tr class="separator:a0ecae49cebd837aac53411c8f877503d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a52d2cba30e6946c95578be946ac12a65"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main</a> (void)</td></tr>
+<tr class="separator:a52d2cba30e6946c95578be946ac12a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+<tr class="memitem:a4be0c4d25e63ce04b8cc8ad070805287"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">testInputSin_f32</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td></tr>
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+<tr class="memitem:ad492c21cf2dd4e9199ae46c77f812cbc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">snr1</a></td></tr>
+<tr class="separator:ad492c21cf2dd4e9199ae46c77f812cbc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a269948ab25f230d33e3f22eab85aa1cf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">snr2</a></td></tr>
+<tr class="separator:a269948ab25f230d33e3f22eab85aa1cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="af08ec3fef897d77c6817638bf0e0c5c6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define SNR_THRESHOLD</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ecae49cebd837aac53411c8f877503d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define XSPACING</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a11">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__linear__interp__data_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interep_table</a>, <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32()</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">snr1</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">snr2</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">testInputSin_f32</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">testLinIntOutput</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="el" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">testRefSinOutput32_f32</a>, and <a class="el" href="arm__linear__interp__example__f32_8c.html#a0ecae49cebd837aac53411c8f877503d">XSPACING</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a1a5a6c95f39221fcf8129fe478f54696"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_linear_interep_table[188495]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad492c21cf2dd4e9199ae46c77f812cbc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a6">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a269948ab25f230d33e3f22eab85aa1cf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a7">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4be0c4d25e63ce04b8cc8ad070805287"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInputSin_f32[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a0">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8ca7d0ad6e04efed464bcaacedacf925"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testLinIntOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a4">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd4d61aad5f35a4e42d580004e2f9a1d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a5a33218d422603f3e5267b6984bdddd1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testRefSinOutput32_f32[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a2">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
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diff --git a/Documentation/DSP/html/arm__lms__f32_8c.html b/Documentation/DSP/html/arm__lms__f32_8c.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="title">arm_lms_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae266d009e682180421601627c79a3843"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32</a> (const <a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pRef, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae266d009e682180421601627c79a3843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for floating-point LMS filter.  <a href="group___l_m_s.html#gae266d009e682180421601627c79a3843"></a><br/></td></tr>
+<tr class="separator:gae266d009e682180421601627c79a3843"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/Documentation/DSP/html/arm__lms__init__f32_8c.html b/Documentation/DSP/html/arm__lms__init__f32_8c.html
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+</div><!--header-->
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+<tr class="memdesc:ga1adb839ac84445b8c2f04efa43faef35"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Complex matrix multiplication.  <a href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35"></a><br/></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q31.html">arm_fir_interpolate_instance_q31</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__f32.html">arm_fir_lattice_instance_f32</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q15.html">arm_iir_lattice_instance_q15</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Instance structure for the floating-point LMS filter.  <a href="structarm__lms__instance__f32.html#details">More...</a><br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html">arm_fir_sparse_instance_q31</a></td></tr>
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+<tr class="separator:ga27b0c54da702713976e5202d20b4473f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ga2cb1e3d3ebb167348fdabec74653d5c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S, int32_t resetStateFlag)</td></tr>
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+<tr class="separator:ga3528c0f54a0607acc603f0490d3ca6c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gaca3f0b8227da431ab29225b88888aa32"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector multiplication.  <a href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32"></a><br/></td></tr>
+<tr class="separator:gaca3f0b8227da431ab29225b88888aa32"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ga6a904a547413b10565dd1d251c6bafbd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:gaed633f415a7840a66861debca2dfb96b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_add_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:gabb51285a41f511670bbff62fc0e1bf62"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:ga24d6c3f7f8b9fae4847c0c3f26a39a3b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="separator:ga24d6c3f7f8b9fae4847c0c3f26a39a3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga7f975a472de286331134227c08aad826"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab09941de7dfeb247e5c29b406a435fcc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="separator:gab09941de7dfeb247e5c29b406a435fcc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga997a8ee93088d15bda23c325d455b588"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga28aa6908d092752144413e21933dc878"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="separator:ga28aa6908d092752144413e21933dc878"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:gaa1757e53279780107acc92cf100adb61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, int8_t shiftBits, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:ga387dd8b7b87377378280978f16cdb13d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, int8_t shiftBits, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:gaddf70be7e3f87e535c324862b501f3f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_copy_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="separator:ga69cc781cf337bd0a31bb85c772a35f7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
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+<tr class="separator:ga9ed47c4e0f58affa935d84e0508a7f39"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gae266d009e682180421601627c79a3843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for floating-point LMS filter.  <a href="group___l_m_s.html#gae266d009e682180421601627c79a3843"></a><br/></td></tr>
+<tr class="separator:gae266d009e682180421601627c79a3843"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga213ab1ee2e154cc2fa30d667b1994b89"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> theta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCosVal)</td></tr>
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+<tr class="separator:ga901dede4661365c9e7c630d3eb31c32c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gaf8b0d2324de273fc430b0e61ad4e9eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga8fb31855ff8cce09c2ec9308f48ded69"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga202a033c8a2ad3678b136f93153b6d13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa8dffbc2a01bb7accf231384498ec85e"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_bilinear_interp_q15</a> (<a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
+<tr class="memdesc:gaa8dffbc2a01bb7accf231384498ec85e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 bilinear interpolation.  <a href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e"></a><br/></td></tr>
+<tr class="separator:gaa8dffbc2a01bb7accf231384498ec85e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_bilinear_interp_q7</a> (<a class="el" href="structarm__bilinear__interp__instance__q7.html">arm_bilinear_interp_instance_q7</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
+<tr class="memdesc:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 bilinear interpolation.  <a href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6"></a><br/></td></tr>
+<tr class="separator:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a87c3b351c33a90de11a2f23e67867a8a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __CMSIS_GENERIC</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a3ebff224ad44c217fde9f530342e2960"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __PACKq7</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">v0, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">v1, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">v2, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">v3&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7()</a>, <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>, <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7()</a>, <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7()</a>, <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7()</a>, <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7()</a>, and <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9de2e0a5785be82866bcb96012282248"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SIMD32</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">addr</td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15()</a>, <a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_add_q7()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15()</a>, <a class="el" href="group__cmplx__conj.html#gaf47689ae07962acaecb8ddde556df4a4">arm_cmplx_conj_q15()</a>, <a class="el" href="group__cmplx__mag.html#ga0a4a8f77a6a51d9b3f3b9d729f85b7a4">arm_cmplx_mag_q15()</a>, <a class="el" href="group__cmplx__mag__squared.html#ga45537f576102d960d467eb722b8431f2">arm_cmplx_mag_squared_q15()</a>, <a class="el" href="group___cmplx_by_real_mult.html#ga3bd8889dcb45980e1d3e53344df54e85">arm_cmplx_mult_real_q15()</a>, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15()</a>, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15()</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_copy_q7()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15()</a>, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7()</a>, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15()</a>, <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_dot_prod_q15()</a>, <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_dot_prod_q7()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7()</a>, <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15()</a>, <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15()</a>, <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15()</a>, <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15()</a>, <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15()</a>, <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>, <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>, <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>, <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>, <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15()</a>, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15()</a>, <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15()</a>, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15()</a>, <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15()</a>, <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_mean_q15()</a>, <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_mean_q7()</a>, <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15()</a>, <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7()</a>, <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7()</a>, <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_offset_q15()</a>, <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7()</a>, <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_power_q15()</a>, <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_power_q7()</a>, <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_q15_to_q31()</a>, <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_q15_to_q7()</a>, <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_q31_to_q15()</a>, <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7()</a>, <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_q7_to_q15()</a>, <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_q7_to_q31()</a>, <a class="el" href="arm__cfft__radix4__q15_8c.html#aad04e8439d17dab5617bf1be268bb391">arm_radix4_butterfly_inverse_q15()</a>, <a class="el" href="arm__cfft__radix4__q15_8c.html#a2d01d2045f280c32036da97d33c52440">arm_radix4_butterfly_q15()</a>, <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15()</a>, <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_scale_q15()</a>, <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7()</a>, <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15()</a>, <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7()</a>, <a class="el" href="arm__rfft__q15_8c.html#a7c2a21793586f9a69c42140665550e09">arm_split_rfft_q15()</a>, <a class="el" href="arm__rfft__q15_8c.html#aa72a531dd15a53570dddaf01b62158f4">arm_split_rifft_q15()</a>, <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15()</a>, <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_sub_q15()</a>, <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7()</a>, and <a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_var_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1185d670d798aaf52eec13f0403f3407"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SIMD32_CONST</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">addr</td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_abs_q15()</a>, and <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad1b053da364f9fd82ca1a381df7590b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SIMD64</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">addr</td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__cfft__radix4__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31()</a>, and <a class="el" href="arm__cfft__radix4__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af0d54ec57b936994a34f073d0049ea3f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define _SIMD32_OFFSET</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">addr</td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_radix4by2_inverse_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_radix4by2_q15()</a>, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15()</a>, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15()</a>, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7()</a>, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15()</a>, <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15()</a>, <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15()</a>, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15()</a>, <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15()</a>, <a class="el" href="arm__cfft__radix2__q15_8c.html#a91ff93fa10757b3872680fec4835c412">arm_radix2_butterfly_inverse_q15()</a>, <a class="el" href="arm__cfft__radix2__q15_8c.html#a521780ba2fd3450cbf02784e38859699">arm_radix2_butterfly_q15()</a>, <a class="el" href="arm__cfft__radix4__q15_8c.html#aad04e8439d17dab5617bf1be268bb391">arm_radix4_butterfly_inverse_q15()</a>, and <a class="el" href="arm__cfft__radix4__q15_8c.html#a2d01d2045f280c32036da97d33c52440">arm_radix4_butterfly_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a280a402ab28c399fcc4168f2ed631acb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define ALIGN4</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aaff6d2358c4ada8de838a279254ab550"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define CONTROLLER_Q31_SHIFT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a663277ff19ad0b409fb98b64b2c2750b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA_Q15</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aad77ae594e95c5af6ae4129bd6a483c2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA_Q31</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34716b73c631e65e8dd855e08384ecb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define FAST_MATH_Q15_SHIFT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15()</a>, and <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4268f77b1811a0c7fc2532a0bf6108b0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define FAST_MATH_Q31_SHIFT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31()</a>, and <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afcb9147c96853bea484cfc2dde07463d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define FAST_MATH_TABLE_SIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32()</a>, <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32()</a>, and <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a29f839928f4752b73c8858d6dbb55294"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define INDEX_MASK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7">arm_recip_q15()</a>, and <a class="el" href="arm__math_8h.html#a43140f04ca94c2a7394e7a222e2d8fb4">arm_recip_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1339e9abc11a3870e0c04f822a62166a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define INPUT_SPACING</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="abb4baa0192bbb6fabc9251af4b4cb322"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define mult_32x32_keep32</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a960f210642058d2b3d5368729a6e8375"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define mult_32x32_keep32_R</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_radix2_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_radix2_butterfly_q31()</a>, <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_split_rfft_q31()</a>, and <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_split_rifft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a58454519e12e8157f0a1c36071333655"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define multAcc_32x32_keep32</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="aba3e538352fc7f9d6d15f9a18d469399"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define multAcc_32x32_keep32_R</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of BilinearInterpolate group </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>, <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_radix2_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_radix2_butterfly_q31()</a>, <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_split_rfft_q31()</a>, and <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_split_rifft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9ec66f3082a4c65c78075638255f42ab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define multSub_32x32_keep32</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a668fbf1cd1c3bc8faf1b1c83964ade23"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define multSub_32x32_keep32_R</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">a, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">y&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_radix2_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_radix2_butterfly_q31()</a>, <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_split_rfft_q31()</a>, and <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_split_rifft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a598a3330b3c21701223ee0ca14316eca"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define PI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a032503e76d6f69bc67e99e909c8125da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TABLE_SIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a60b0142af7be007902142add27919b82"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TABLE_SPACING_Q15</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a8407c9e1347d10e3bcf0a7014f1fb2ff"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TABLE_SPACING_Q31</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Typedef Documentation</h2>
+<a class="anchor" id="a4611b605e45ab401f02cab15c5e38715"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef float <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ac55f3ae81b5bc9053760baacf57e47f4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef double <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ab5a8fb21a5b3b983d5f54f31614052ea"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef int16_t <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="adc89a3547f5324b7b3b95adec3806bc0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef int32_t <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a5aea1cb12fc02d9d44c8abf217eaa5c6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef int64_t <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="ae541b6f232c305361e9b416fc9eed263"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef int8_t <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0"></a>ARM_MATH_SUCCESS</em>&nbsp;</td><td>
+<p>No error </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35"></a>ARM_MATH_ARGUMENT_ERROR</em>&nbsp;</td><td>
+<p>One or more arguments are incorrect </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1"></a>ARM_MATH_LENGTH_ERROR</em>&nbsp;</td><td>
+<p>Length of data buffer is incorrect </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b"></a>ARM_MATH_SIZE_MISMATCH</em>&nbsp;</td><td>
+<p>Size of matrices is not compatible with the operation. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6ac55996aaf19245238a8f57a91aeaefcc"></a>ARM_MATH_NANINF</em>&nbsp;</td><td>
+<p>Not-a-number (NaN) or infinity is generated </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc"></a>ARM_MATH_SINGULAR</em>&nbsp;</td><td>
+<p>Generated by matrix inversion if the input matrix is singular and cannot be inverted. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376"></a>ARM_MATH_TEST_FAILURE</em>&nbsp;</td><td>
+<p>Test Failed </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae469fac5e1df35f8bcf1b3d7c3136484"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularRead_f32 </td>
+          <td>(</td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>readOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>dst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>dst_base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dst_length</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dstInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad5fb134f83f2c802261f172e3dceb131"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularRead_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>readOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>dst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>dst_base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dst_length</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dstInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a30aa80ea20abe71f3afa99f2f0391ed5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularRead_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>readOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>dst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>dst_base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dst_length</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>dstInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ff56c0896ce00712ba8f2fcf72cacd3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularWrite_f32 </td>
+          <td>(</td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>writeOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int32_t *&#160;</td>
+          <td class="paramname"><em>src</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>srcInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<p>end of SQRT group </p>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ba2d215477e692def7fda46dda883ed"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularWrite_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>writeOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>src</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>srcInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="addba85b1f7fbd472fd00ddd9ce43aea8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_circularWrite_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>circBuffer</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>writeOffset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>bufferInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>src</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>srcInc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7521d59196189bb6dde26e8cdfb66e21"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to output matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">pState</td><td>points to the array for storing intermediate results </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a1c66e370a6ae91aaafbaec5e979198d7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE uint32_t arm_recip_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>dst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pRecipTable</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__math_8h.html#a29f839928f4752b73c8858d6dbb55294">INDEX_MASK</a>.</p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43140f04ca94c2a7394e7a222e2d8fb4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE uint32_t arm_recip_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>dst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pRecipTable</em>&#160;</td>
+        </tr>
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+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
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+</div>
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+<div class="memitem">
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+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> clip_q31_to_q7 </td>
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+  <td class="mlabels-left">
+      <table class="memname">
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+          <td>(</td>
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+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> clip_q63_to_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
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+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
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+<p>Referenced by <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31()</a>, <a class="el" href="group___cmplx_by_real_mult.html#ga715e4bb8e945b8ca51ec5237611697ce">arm_cmplx_mult_real_q31()</a>, <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31()</a>, <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>, <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31()</a>, <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31()</a>, <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_offset_q31()</a>, <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>, <a class="el" href="arm__math_8h.html#a43140f04ca94c2a7394e7a222e2d8fb4">arm_recip_q31()</a>, <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31()</a>, <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31()</a>, <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31()</a>, and <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31()</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> mult32x64 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a>&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
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+          <td></td><td></td>
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+      </table>
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+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>.</p>
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+    <li class="navelem"><a class="el" href="dir_856524284ebe840938865dc061f982fb.html">Include</a></li><li class="navelem"><a class="el" href="arm__math_8h.html">arm_math.h</a></li>
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diff --git a/Documentation/DSP/html/arm__matrix__example_2_a_r_m_2_abstract_8txt.html b/Documentation/DSP/html/arm__matrix__example_2_a_r_m_2_abstract_8txt.html
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div class="summary">
+<a href="#var-members">Variables</a>  </div>
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+<div class="title">Abstract.txt File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
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+<tr class="memitem:a267aee43e600168b057c1aa126029002"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
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+<tr class="separator:a267aee43e600168b057c1aa126029002"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">CMSIS DSP_Lib example arm_matrix_example for Cortex M0</td>
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+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:31 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a href="#func-members">Functions</a> &#124;
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+  <div class="headertitle">
+<div class="title">arm_matrix_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
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+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
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+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="dir_56c57e2f0b48b2b8a51ef27bd8c502e6.html">RTE</a></li><li class="navelem"><a class="el" href="dir_81c44c586c907f45c06b9b0a1d54e536.html">Device</a></li><li class="navelem"><a class="el" href="dir_daf4f5c4da18fbee2cc01397e7059227.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
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+Functions</h2></td></tr>
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+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
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+Variables</h2></td></tr>
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
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+</div>
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+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="dir_56c57e2f0b48b2b8a51ef27bd8c502e6.html">RTE</a></li><li class="navelem"><a class="el" href="dir_81c44c586c907f45c06b9b0a1d54e536.html">Device</a></li><li class="navelem"><a class="el" href="dir_918b1d9c020a9c8774a15ad3971a73ba.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
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+<table class="memberdecls">
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+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">#define __XTAL</td>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="dir_56c57e2f0b48b2b8a51ef27bd8c502e6.html">RTE</a></li><li class="navelem"><a class="el" href="dir_81c44c586c907f45c06b9b0a1d54e536.html">Device</a></li><li class="navelem"><a class="el" href="dir_0a68311637137c2c11b8e5c250252a09.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <a href="http://www.doxygen.org/index.html">
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+<!-- end header part -->
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="dir_56c57e2f0b48b2b8a51ef27bd8c502e6.html">RTE</a></li><li class="navelem"><a class="el" href="dir_81c44c586c907f45c06b9b0a1d54e536.html">Device</a></li><li class="navelem"><a class="el" href="dir_7c360855219f51fadbd92197472e63eb.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace1e1f7b72573d1934782ec999a04f99"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow</a> (uint32_t numShifts)</td></tr>
+<tr class="memdesc:ace1e1f7b72573d1934782ec999a04f99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#ace1e1f7b72573d1934782ec999a04f99"></a><br/></td></tr>
+<tr class="separator:ace1e1f7b72573d1934782ec999a04f99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html">math_helper.c</a></li>
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diff --git a/Documentation/DSP/html/arm__matrix__example_2_a_r_m_2math__helper_8h.html b/Documentation/DSP/html/arm__matrix__example_2_a_r_m_2math__helper_8h.html
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+<title>math_helper.h File Reference</title>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a23f94b0fbfed6d620f38e26bc64cf2f8">arm_float_to_q12_20</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_provide_guard_bits_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aead320f821f927000386d9d7d5ad6d27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_provide_guard_bits_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *input_buf, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23cdb5202efd9233f4e92b5f22287eac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a23cdb5202efd9233f4e92b5f22287eac">arm_float_to_q14</a> (float *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a23cdb5202efd9233f4e92b5f22287eac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q14.  <a href="#a23cdb5202efd9233f4e92b5f22287eac"></a><br/></td></tr>
+<tr class="separator:a23cdb5202efd9233f4e92b5f22287eac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_float_to_q29</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16764fdbc174a79f04b07032cf902079"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a16764fdbc174a79f04b07032cf902079">arm_float_to_q30</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a16764fdbc174a79f04b07032cf902079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a16764fdbc174a79f04b07032cf902079"></a><br/></td></tr>
+<tr class="separator:a16764fdbc174a79f04b07032cf902079"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60ff6e0b31a5e9105c7280797e457742"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_calc_guard_bits</a> (uint32_t num_adds)</td></tr>
+<tr class="memdesc:a60ff6e0b31a5e9105c7280797e457742"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclates number of guard bits.  <a href="#a60ff6e0b31a5e9105c7280797e457742"></a><br/></td></tr>
+<tr class="separator:a60ff6e0b31a5e9105c7280797e457742"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13580a6ff7a8a68146de727bdf8fba88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIn, uint32_t numSamples, uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a13580a6ff7a8a68146de727bdf8fba88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts Q15 to floating-point.  <a href="#a13580a6ff7a8a68146de727bdf8fba88"></a><br/></td></tr>
+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64d5207c035db13cddde479317dd131e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a64d5207c035db13cddde479317dd131e">arm_compare_fixed_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pIn, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a64d5207c035db13cddde479317dd131e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a64d5207c035db13cddde479317dd131e"></a><br/></td></tr>
+<tr class="separator:a64d5207c035db13cddde479317dd131e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_compare_fixed_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_6128d62f89366c4b8843a6e619831037.html">arm_matrix_example</a></li><li class="navelem"><a class="el" href="dir_7101093b4d1c318dab4c75d3b6d4e65e.html">ARM</a></li><li class="navelem"><a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html">math_helper.h</a></li>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_example_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:af08ec3fef897d77c6817638bf0e0c5c6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a></td></tr>
+<tr class="separator:af08ec3fef897d77c6817638bf0e0c5c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a52d2cba30e6946c95578be946ac12a65"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main</a> (void)</td></tr>
+<tr class="separator:a52d2cba30e6946c95578be946ac12a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:a974d5f0aace6a99e29ca767907fb3b9f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a974d5f0aace6a99e29ca767907fb3b9f">B_f32</a> [4]</td></tr>
+<tr class="separator:a974d5f0aace6a99e29ca767907fb3b9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed27b92d9847194d9dcce40cecf2b48a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#aed27b92d9847194d9dcce40cecf2b48a">A_f32</a> [16]</td></tr>
+<tr class="separator:aed27b92d9847194d9dcce40cecf2b48a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a46dc2aa6dfc692af7b4a1379d7329ccd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a46dc2aa6dfc692af7b4a1379d7329ccd">AT_f32</a> [16]</td></tr>
+<tr class="separator:a46dc2aa6dfc692af7b4a1379d7329ccd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a867497c6bf86014513bf2ad3551aa896"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a867497c6bf86014513bf2ad3551aa896">ATMA_f32</a> [16]</td></tr>
+<tr class="separator:a867497c6bf86014513bf2ad3551aa896"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a44425c149c52b326a3b7a77676686f00"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a44425c149c52b326a3b7a77676686f00">ATMAI_f32</a> [16]</td></tr>
+<tr class="separator:a44425c149c52b326a3b7a77676686f00"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a98c67c0fc0cb5f2df51b21482d31d21c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">X_f32</a> [4]</td></tr>
+<tr class="separator:a98c67c0fc0cb5f2df51b21482d31d21c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6184758419722fa16bb883097c2f596b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#a6184758419722fa16bb883097c2f596b">xRef_f32</a> [4]</td></tr>
+<tr class="separator:a6184758419722fa16bb883097c2f596b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af06013f588a7003278de222913c9d819"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__matrix__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a></td></tr>
+<tr class="separator:af06013f588a7003278de222913c9d819"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="af08ec3fef897d77c6817638bf0e0c5c6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define SNR_THRESHOLD</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__matrix__example__f32_8c.html#aed27b92d9847194d9dcce40cecf2b48a">A_f32</a>, <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32()</a>, <a class="el" href="arm__matrix__example__f32_8c.html#a46dc2aa6dfc692af7b4a1379d7329ccd">AT_f32</a>, <a class="el" href="arm__matrix__example__f32_8c.html#a867497c6bf86014513bf2ad3551aa896">ATMA_f32</a>, <a class="el" href="arm__matrix__example__f32_8c.html#a44425c149c52b326a3b7a77676686f00">ATMAI_f32</a>, <a class="el" href="arm__matrix__example__f32_8c.html#a974d5f0aace6a99e29ca767907fb3b9f">B_f32</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>, <a class="el" href="arm__matrix__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">X_f32</a>, and <a class="el" href="arm__matrix__example__f32_8c.html#a6184758419722fa16bb883097c2f596b">xRef_f32</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aed27b92d9847194d9dcce40cecf2b48a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> A_f32[16]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a1">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a46dc2aa6dfc692af7b4a1379d7329ccd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> AT_f32[16]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a2">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a867497c6bf86014513bf2ad3551aa896"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> ATMA_f32[16]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a3">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a44425c149c52b326a3b7a77676686f00"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> ATMAI_f32[16]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a4">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a974d5f0aace6a99e29ca767907fb3b9f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> B_f32[4]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a0">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af06013f588a7003278de222913c9d819"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> snr</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a98c67c0fc0cb5f2df51b21482d31d21c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> X_f32[4]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a5">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6184758419722fa16bb883097c2f596b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> xRef_f32[4]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a6">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
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+</div><!--header-->
+<div class="contents">
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+Functions</h2></td></tr>
+<tr class="memitem:ga5b89d1b04575aeec494f678695fb87d8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult, uint32_t *pIndex)</td></tr>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_max_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gac132856c68f4bf2a056eaad5921c7880"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_max_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult, uint32_t *pIndex)</td></tr>
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+<tr class="memitem:gaca3f0b8227da431ab29225b88888aa32"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaca3f0b8227da431ab29225b88888aa32"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector multiplication.  <a href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32"></a><br/></td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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+<tr class="memdesc:ga3528c0f54a0607acc603f0490d3ca6c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 vector multiplication.  <a href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6"></a><br/></td></tr>
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+<tr class="memitem:ga0239a833d72cf00290b9723c394e5042"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<tr class="memitem:ga2784c6887686a73dc7c364e2e41c776c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_negate_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+</div><!--header-->
+<div class="contents">
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+<tr class="memitem:gaae78fc079a43bdaa3055f9b32e2a1f4c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
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+<div class="title">arm_rfft_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae239ddf995d1607115f9e84d5c069b9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_radix4_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:gae239ddf995d1607115f9e84d5c069b9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2a78df6e4bbf080624f2b6349224ec93"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_radix4_butterfly_inverse_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> onebyfftLen)</td></tr>
+<tr class="separator:a2a78df6e4bbf080624f2b6349224ec93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, uint16_t bitRevFactor, uint16_t *pBitRevTab)</td></tr>
+<tr class="separator:a3d4062fdfa6aaa3f51f41cab868e508b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb">arm_split_rfft_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pATable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pBTable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real FFT process.  <a href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb"></a><br/></td></tr>
+<tr class="separator:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a585bef78c103d150a116241a4feb6442"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__f32_8c.html#a585bef78c103d150a116241a4feb6442">arm_split_rifft_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pATable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pBTable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:a585bef78c103d150a116241a4feb6442"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real IFFT process.  <a href="#a585bef78c103d150a116241a4feb6442"></a><br/></td></tr>
+<tr class="separator:a585bef78c103d150a116241a4feb6442"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32</a> (const <a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point RFFT/RIFFT.  <a href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc"></a><br/></td></tr>
+<tr class="separator:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a3d4062fdfa6aaa3f51f41cab868e508b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_bitreversal_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>bitRevFactor</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t *&#160;</td>
+          <td class="paramname"><em>pBitRevTab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a78df6e4bbf080624f2b6349224ec93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_radix4_butterfly_inverse_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>onebyfftLen</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a585bef78c103d150a116241a4feb6442"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rifft_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pATable</td><td>points to the twiddle Coef A buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pBTable</td><td>points to the twiddle Coef B buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
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+Functions</h2></td></tr>
+<tr class="memitem:a47157c5a53c8aac5e80fda31acf1f9cc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">stage_rfft_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut)</td></tr>
+<tr class="separator:a47157c5a53c8aac5e80fda31acf1f9cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93258bc1e64a939a8ebd086367e459af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">merge_rfft_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut)</td></tr>
+<tr class="separator:a93258bc1e64a939a8ebd086367e459af"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>)</td></tr>
+<tr class="memdesc:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point real FFT.  <a href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799"></a><br/></td></tr>
+<tr class="separator:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a93258bc1e64a939a8ebd086367e459af"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void merge_rfft_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>&#160;</td>
+        </tr>
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+          <td>)</td>
+          <td></td><td></td>
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+
+<p>References <a class="el" href="structarm__rfft__fast__instance__f32.html#a9f30b04f163fabc1b24421d3c323d5fc">arm_rfft_fast_instance_f32::pTwiddleRFFT</a>, and <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32::Sint</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stage_rfft_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="structarm__rfft__fast__instance__f32.html#a9f30b04f163fabc1b24421d3c323d5fc">arm_rfft_fast_instance_f32::pTwiddleRFFT</a>, and <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32::Sint</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>.</p>
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+<div class="title">arm_rfft_init_f32.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<div class="title">arm_rfft_init_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="memitem:ga5abde938abbe72e95c5bab080eb33c45"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31</a> (<a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *S, uint32_t fftLenReal, uint32_t ifftFlagR, uint32_t bitReverseFlag)</td></tr>
+<tr class="memdesc:ga5abde938abbe72e95c5bab080eb33c45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 RFFT/RIFFT.  <a href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45"></a><br/></td></tr>
+<tr class="separator:ga5abde938abbe72e95c5bab080eb33c45"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:gaf1592a6cf0504675205074a43c3728a2"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gaf1592a6cf0504675205074a43c3728a2">realCoefAQ31</a> [8192]</td></tr>
+<tr class="separator:gaf1592a6cf0504675205074a43c3728a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1eb5745728a61c3715755f5d69a4a960"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga1eb5745728a61c3715755f5d69a4a960">realCoefBQ31</a> [8192]</td></tr>
+<tr class="separator:ga1eb5745728a61c3715755f5d69a4a960"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">arm_rfft_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7c2a21793586f9a69c42140665550e09"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__q15_8c.html#a7c2a21793586f9a69c42140665550e09">arm_split_rfft_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pATable, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pBTable, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:a7c2a21793586f9a69c42140665550e09"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real FFT process.  <a href="#a7c2a21793586f9a69c42140665550e09"></a><br/></td></tr>
+<tr class="separator:a7c2a21793586f9a69c42140665550e09"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa72a531dd15a53570dddaf01b62158f4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__q15_8c.html#aa72a531dd15a53570dddaf01b62158f4">arm_split_rifft_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pATable, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pBTable, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:aa72a531dd15a53570dddaf01b62158f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real IFFT process.  <a href="#aa72a531dd15a53570dddaf01b62158f4"></a><br/></td></tr>
+<tr class="separator:aa72a531dd15a53570dddaf01b62158f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15</a> (const <a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 RFFT/RIFFT.  <a href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5"></a><br/></td></tr>
+<tr class="separator:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a7c2a21793586f9a69c42140665550e09"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rfft_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of RealFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramname">*pATable</td><td>points to the A twiddle Coef buffer. </td></tr>
+    <tr><td class="paramname">*pBTable</td><td>points to the B twiddle Coef buffer. </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. The function implements a Real FFT </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa72a531dd15a53570dddaf01b62158f4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rifft_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pATable</td><td>points to the twiddle Coef A buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pBTable</td><td>points to the twiddle Coef B buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. The function implements a Real IFFT </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
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+<div class="title">arm_rfft_q31.c File Reference</div>  </div>
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a520e1c358d44fcd2724cb19d46eb5dfa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_split_rfft_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pATable, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pBTable, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:a520e1c358d44fcd2724cb19d46eb5dfa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real FFT process.  <a href="#a520e1c358d44fcd2724cb19d46eb5dfa"></a><br/></td></tr>
+<tr class="separator:a520e1c358d44fcd2724cb19d46eb5dfa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acc62dd39a59091c4d6a80d4e55adeb13"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_split_rifft_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pATable, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pBTable, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:acc62dd39a59091c4d6a80d4e55adeb13"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real IFFT process.  <a href="#acc62dd39a59091c4d6a80d4e55adeb13"></a><br/></td></tr>
+<tr class="separator:acc62dd39a59091c4d6a80d4e55adeb13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31</a> (const <a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 RFFT/RIFFT.  <a href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a"></a><br/></td></tr>
+<tr class="separator:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a520e1c358d44fcd2724cb19d46eb5dfa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rfft_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of RealFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pATable</td><td>points to the twiddle Coef A buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pBTable</td><td>points to the twiddle Coef B buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc62dd39a59091c4d6a80d4e55adeb13"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rifft_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pATable</td><td>points to the twiddle Coef A buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pBTable</td><td>points to the twiddle Coef B buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, and <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">multSub_32x32_keep32_R</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
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+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
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+        </tr>
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+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<div class="contents">
+<table class="memberdecls">
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+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
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+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
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+          <td class="memname">#define __XTAL</td>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e850fff378e36258e2a085808e9d898c.html">arm_signal_converge_example</a></li><li class="navelem"><a class="el" href="dir_9bbc0b803a378696e320e7975798d136.html">ARM</a></li><li class="navelem"><a class="el" href="dir_92c426a233a3fdd85d56996e21a98e0e.html">RTE</a></li><li class="navelem"><a class="el" href="dir_c2e666cea3ed7c127463edfe7b3abed4.html">Device</a></li><li class="navelem"><a class="el" href="dir_aa7ef7d51ba6279587b659bb78c926be.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_signal_converge_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e850fff378e36258e2a085808e9d898c.html">arm_signal_converge_example</a></li><li class="navelem"><a class="el" href="dir_9bbc0b803a378696e320e7975798d136.html">ARM</a></li><li class="navelem"><a class="el" href="dir_92c426a233a3fdd85d56996e21a98e0e.html">RTE</a></li><li class="navelem"><a class="el" href="dir_c2e666cea3ed7c127463edfe7b3abed4.html">Device</a></li><li class="navelem"><a class="el" href="dir_2483b5ef8110e34ae07dadd52b31fd81.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_signal_converge_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e850fff378e36258e2a085808e9d898c.html">arm_signal_converge_example</a></li><li class="navelem"><a class="el" href="dir_9bbc0b803a378696e320e7975798d136.html">ARM</a></li><li class="navelem"><a class="el" href="dir_92c426a233a3fdd85d56996e21a98e0e.html">RTE</a></li><li class="navelem"><a class="el" href="dir_c2e666cea3ed7c127463edfe7b3abed4.html">Device</a></li><li class="navelem"><a class="el" href="dir_7d5684d3cdce709028a67dede40715c9.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
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+<tr class="memdesc:a098c587b93469a7a6bcc521d42fdf6f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q30 format.  <a href="#a098c587b93469a7a6bcc521d42fdf6f9"></a><br/></td></tr>
+<tr class="separator:a098c587b93469a7a6bcc521d42fdf6f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1049b3adb14331612bb762237391625"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_float_to_q28</a> (float *pIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, uint32_t numSamples)</td></tr>
+<tr class="memdesc:aa1049b3adb14331612bb762237391625"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed q28 format.  <a href="#aa1049b3adb14331612bb762237391625"></a><br/></td></tr>
+<tr class="separator:aa1049b3adb14331612bb762237391625"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9768d92bb94894d8294047bdf76a16a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#ab9768d92bb94894d8294047bdf76a16a">arm_clip_f32</a> (float *pIn, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ab9768d92bb94894d8294047bdf76a16a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clip the float values to +/- 1.  <a href="#ab9768d92bb94894d8294047bdf76a16a"></a><br/></td></tr>
+<tr class="separator:ab9768d92bb94894d8294047bdf76a16a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace1e1f7b72573d1934782ec999a04f99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a392f7c2e7ab9bb58931c4efb56693029"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_signal_converge_example/ARM/math_helper.h File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aeea2952e70a1040a6efa555564bbeeab"><td class="memItemLeft" align="right" valign="top">float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_snr_f32</a> (float *pRef, float *pTest, uint32_t buffSize)</td></tr>
+<tr class="memdesc:aeea2952e70a1040a6efa555564bbeeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Caluclation of SNR.  <a href="#aeea2952e70a1040a6efa555564bbeeab"></a><br/></td></tr>
+<tr class="separator:aeea2952e70a1040a6efa555564bbeeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts float to fixed in q12.20 format.  <a href="#a23f94b0fbfed6d620f38e26bc64cf2f8"></a><br/></td></tr>
+<tr class="separator:a23f94b0fbfed6d620f38e26bc64cf2f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ac8209be1b8081e833c3ec2e85ad2255b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#ac8209be1b8081e833c3ec2e85ad2255b"></a><br/></td></tr>
+<tr class="separator:ac8209be1b8081e833c3ec2e85ad2255b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aead320f821f927000386d9d7d5ad6d27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide guard bits for Input buffer.  <a href="#aead320f821f927000386d9d7d5ad6d27"></a><br/></td></tr>
+<tr class="separator:aead320f821f927000386d9d7d5ad6d27"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a13580a6ff7a8a68146de727bdf8fba88"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a32f9f3d19e53161382c5bd39e3df50fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compare MATLAB Reference Output and ARM Test output.  <a href="#a32f9f3d19e53161382c5bd39e3df50fb"></a><br/></td></tr>
+<tr class="separator:a32f9f3d19e53161382c5bd39e3df50fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c94faac575a175e824d5f9879c97c68"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_calc_2pow</a> (uint32_t guard_bits)</td></tr>
+<tr class="memdesc:a7c94faac575a175e824d5f9879c97c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates pow(2, numShifts)  <a href="#a7c94faac575a175e824d5f9879c97c68"></a><br/></td></tr>
+<tr class="separator:a7c94faac575a175e824d5f9879c97c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a13580a6ff7a8a68146de727bdf8fba88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_apply_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_calc_2pow()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7c94faac575a175e824d5f9879c97c68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_2pow </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numShifts</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of shifts </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pow(2, numShifts) </dd></dl>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_apply_guard_bits()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60ff6e0b31a5e9105c7280797e457742"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_calc_guard_bits </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>num_adds</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of additions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Caluclates the number of guard bits depending on the numtaps </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab9768d92bb94894d8294047bdf76a16a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_clip_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">pIn</td><td>input buffer </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a64d5207c035db13cddde479317dd131e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q15_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a32f9f3d19e53161382c5bd39e3df50fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_compare_fixed_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Ref buffer </td></tr>
+    <tr><td class="paramname">q31_t*</td><td>Pointer to Test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23f94b0fbfed6d620f38e26bc64cf2f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q12_20 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point(q12.20) values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a23cdb5202efd9233f4e92b5f22287eac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q14 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa1049b3adb14331612bb762237391625"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q28 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a098c587b93469a7a6bcc521d42fdf6f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q29 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a16764fdbc174a79f04b07032cf902079"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q30 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">uint32_t</td><td>number of samples in the buffer </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function converts floating point values to fixed point values </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ac8209be1b8081e833c3ec2e85ad2255b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q15_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead320f821f927000386d9d7d5ad6d27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_provide_guard_bits_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>input_buf</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>guard_bits</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">q31_t*</td><td>Pointer to input buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>blockSize </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>guard_bits </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none The function Provides the guard bits for the buffer to avoid overflow </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeea2952e70a1040a6efa555564bbeeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">float arm_snr_f32 </td>
+          <td>(</td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">float *&#160;</td>
+          <td class="paramname"><em>pTest</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>buffSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">float*</td><td>Pointer to the reference buffer </td></tr>
+    <tr><td class="paramname">float*</td><td>Pointer to the test buffer </td></tr>
+    <tr><td class="paramname">uint32_t</td><td>total number of samples </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>float SNR The function Caluclates signal to noise ratio for the reference output and test output </dd></dl>
+
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+<tr class="memitem:ae6bcc00ea126543ab33d6174549eacda"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a> [<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td></tr>
+<tr class="separator:ae6bcc00ea126543ab33d6174549eacda"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="afcf795f5a96fd55561abe69f56224630"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9156349d99957ded15d8aa3aa11723de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA_COEFF</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a37">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d3c6a4484dcaac72fbfe5100c39b9b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA_ERROR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a34">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09bc9e6a44f0291cfcf578f2efcddfab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define MU</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a24">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4b6b859e1e3f6021a360390be287ca2c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMFRAMES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a26">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1d8ddb4f9a957eef3ad13d44de4d804"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define NUMTAPS</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a1">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc004a7fade488e72310fd96c0a101dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define TEST_LENGTH_SAMPLES</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="afd2975c4763ec935771e6f63bfe7758b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void getinput </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>input</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fr_cnt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a14">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_abs_f32()</a>, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32()</a>, <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32()</a>, <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32()</a>, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32()</a>, <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32()</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a9156349d99957ded15d8aa3aa11723de">DELTA_COEFF</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a6d3c6a4484dcaac72fbfe5100c39b9b6">DELTA_ERROR</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>, <a class="el" href="arm__signal__converge__data_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">FIRCoeff_f32</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">firStateF32</a>, <a class="el" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a706980f6f654d199c61e08e7814bd0a1">lmsStateF32</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a09bc9e6a44f0291cfcf578f2efcddfab">MU</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a4b6b859e1e3f6021a360390be287ca2c">NUMFRAMES</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, and <a class="el" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8f521e839d4fad24a4f12a18dfeae5d4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> test_signal_converge </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>err_signal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a11">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="ac786d43cbc17bb09738447034ff8e22e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> test_signal_converge_example </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a10">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ae6bcc00ea126543ab33d6174549eacda"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> err_signal[<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a12">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a276e8a27484cf9389dabf047e76992ed"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> errOutput[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a6">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="aede8780f021b7f5c33df0c5ee2183ee6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> FIRCoeff_f32[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a358ec4e79689e6d3787b89fe78bdb772"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> firStateF32[<a class="el" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>+<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a4">arm_fir_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a0">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a519f9b4db839245f3bf2075ff4c17605"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a> lmsNorm_instance</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a9">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="aad7c60c30c5af397bb75e603f250f9d3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> lmsNormCoeff_f32[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a706980f6f654d199c61e08e7814bd0a1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> lmsStateF32[<a class="el" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>+<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a5">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a652d3507a776117b4860b3e18f2d2d64"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> LPF_instance</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a4">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+</div>
+</div>
+<a class="anchor" id="aac98609c83ad8ed2b05c4fd82d2ba59b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInput_f32[<a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16e759789fbc05f878863f009066c8ea"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> wire1[<a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+        </tr>
+      </table>
+</div><div class="memdoc">
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+<div class="title">arm_sin_cos_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
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+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">#define __XTAL</td>
+        </tr>
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+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1af19de43f00bd515b519c982d49d68.html">arm_sin_cos_example</a></li><li class="navelem"><a class="el" href="dir_05485b5eab41976e219ba5522ae8a40f.html">ARM</a></li><li class="navelem"><a class="el" href="dir_4c7fce71cdbef82378782cbb366558c3.html">RTE</a></li><li class="navelem"><a class="el" href="dir_a757f05afb4eb2e937a151caf65a9259.html">Device</a></li><li class="navelem"><a class="el" href="dir_f3f90e767886505989b4baa9d4b81390.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_sin_cos_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
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+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
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+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_sin_cos_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_d1af19de43f00bd515b519c982d49d68.html">arm_sin_cos_example</a></li><li class="navelem"><a class="el" href="dir_05485b5eab41976e219ba5522ae8a40f.html">ARM</a></li><li class="navelem"><a class="el" href="dir_4c7fce71cdbef82378782cbb366558c3.html">RTE</a></li><li class="navelem"><a class="el" href="dir_a757f05afb4eb2e937a151caf65a9259.html">Device</a></li><li class="navelem"><a class="el" href="dir_67fa1d0aab2310595b9aeb6c7b217b31.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_sin_cos_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<div class="contents">
+<table class="memberdecls">
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+Macros</h2></td></tr>
+<tr class="memitem:af8a1d2ed31f7c9a00fec46a798edb61b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a></td></tr>
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+</table><table class="memberdecls">
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+Variables</h2></td></tr>
+<tr class="memitem:a8b3b7113988efd5bf11a247d07ae39a1"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example__f32_8c.html#a8b3b7113988efd5bf11a247d07ae39a1">testInput_f32</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
+<tr class="separator:a8b3b7113988efd5bf11a247d07ae39a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a85b1050fcef4347d69f35a9aee798f8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2cb185794dcb587d158f346ab049cc4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aa5a66e866ebb91eb971f2805209e9d36"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a88ccb294236ab22b00310c47164c53c3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__sin__cos__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a></td></tr>
+<tr class="separator:a88ccb294236ab22b00310c47164c53c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define MAX_BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32()</a>, <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">cosOutput</a>, <a class="el" href="arm__sin__cos__example__f32_8c.html#a2cb185794dcb587d158f346ab049cc4e">cosSquareOutput</a>, <a class="el" href="arm__sin__cos__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>, <a class="el" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">sinOutput</a>, <a class="el" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">sinSquareOutput</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ab6558f40a619c2502fbc24c880fd4fb0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t blockSize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a85b1050fcef4347d69f35a9aee798f8a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosOutput</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_sin_cos_example_f32_8c-example.html#a5">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2cb185794dcb587d158f346ab049cc4e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosSquareOutput</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_sin_cos_example_f32_8c-example.html#a7">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e232694019f6b61710fbff5ee27126c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinOutput</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_sin_cos_example_f32_8c-example.html#a6">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa5a66e866ebb91eb971f2805209e9d36"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinSquareOutput</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_sin_cos_example_f32_8c-example.html#a8">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> status</td>
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+<div class="memitem">
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+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testRefOutput_f32</td>
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+<tr class="memitem:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> theta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCosVal)</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> theta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCosVal)</td></tr>
+<tr class="memdesc:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 sin_cos function.  <a href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504"></a><br/></td></tr>
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+<div class="title">arm_var_q15.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<tr class="memitem:ga79dce009ed2de28a125aeb3f19631654"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_var_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
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+<div class="contents">
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+<tr class="memitem:gac02873f1c2cc80adfd799305f0e6465d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_var_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:gac02873f1c2cc80adfd799305f0e6465d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Variance of the elements of a Q31 vector.  <a href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d"></a><br/></td></tr>
+<tr class="separator:gac02873f1c2cc80adfd799305f0e6465d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/Documentation/DSP/html/arm__variance__example_2_a_r_m_2_abstract_8txt.html b/Documentation/DSP/html/arm__variance__example_2_a_r_m_2_abstract_8txt.html
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
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+<tr class="memitem:a8c8cf1e0f2ebd6135c79d5338a60899c"><td class="memItemLeft" align="right" valign="top">CMSIS DSP_Lib example <br class="typebreak"/>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_variance_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e04602aba7b2f9f43e3429e32fb5dc36.html">arm_variance_example</a></li><li class="navelem"><a class="el" href="dir_4646a6ed5faa53e0aa863c10960e3ab2.html">ARM</a></li><li class="navelem"><a class="el" href="dir_822489d6fe1c800fff671c2e07883531.html">RTE</a></li><li class="navelem"><a class="el" href="dir_0a655a63e9fde46c9762ddfc77ca04bf.html">Device</a></li><li class="navelem"><a class="el" href="dir_5a7314d68003d6d6c9cc9bdbf9474558.html">ARMCM0</a></li><li class="navelem"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html">system_ARMCM0.c</a></li>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_variance_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
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+<tr class="memitem:a8687edecd98881631a879bd10528c7da"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a8687edecd98881631a879bd10528c7da">__XTAL</a></td></tr>
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+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e04602aba7b2f9f43e3429e32fb5dc36.html">arm_variance_example</a></li><li class="navelem"><a class="el" href="dir_4646a6ed5faa53e0aa863c10960e3ab2.html">ARM</a></li><li class="navelem"><a class="el" href="dir_822489d6fe1c800fff671c2e07883531.html">RTE</a></li><li class="navelem"><a class="el" href="dir_0a655a63e9fde46c9762ddfc77ca04bf.html">Device</a></li><li class="navelem"><a class="el" href="dir_925317a6e91dbb02ffd51da5d221b046.html">ARMCM3</a></li><li class="navelem"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html">system_ARMCM3.c</a></li>
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+<div class="title">arm_variance_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c File Reference</div>  </div>
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+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>System Clock Frequency (Core Clock) </p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e04602aba7b2f9f43e3429e32fb5dc36.html">arm_variance_example</a></li><li class="navelem"><a class="el" href="dir_4646a6ed5faa53e0aa863c10960e3ab2.html">ARM</a></li><li class="navelem"><a class="el" href="dir_822489d6fe1c800fff671c2e07883531.html">RTE</a></li><li class="navelem"><a class="el" href="dir_0a655a63e9fde46c9762ddfc77ca04bf.html">Device</a></li><li class="navelem"><a class="el" href="dir_7b31f24274e1fbd0785fc4576840c524.html">ARMCM4_FP</a></li><li class="navelem"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html">system_ARMCM4.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+   <div id="projectname">CMSIS-DSP
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+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_variance_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:abbd628d8a30e6695b3715ae72a693e56"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#abbd628d8a30e6695b3715ae72a693e56">__HSI</a></td></tr>
+<tr class="separator:abbd628d8a30e6695b3715ae72a693e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8687edecd98881631a879bd10528c7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a16323f44d2b5b11ef3972f71339cbd39"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a></td></tr>
+<tr class="separator:a16323f44d2b5b11ef3972f71339cbd39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate</a> (void)</td></tr>
+<tr class="memdesc:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Updates the SystemCoreClock with current core Clock retrieved from cpu registers.  <a href="#ae0c36a9591fe6e9c45ecb21a794f0f0f"></a><br/></td></tr>
+<tr class="separator:ae0c36a9591fe6e9c45ecb21a794f0f0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit</a> (void)</td></tr>
+<tr class="memdesc:a93f514700ccf00d08dbdcff7f1224eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Setup the microcontroller system. Initialize the System.  <a href="#a93f514700ccf00d08dbdcff7f1224eb2"></a><br/></td></tr>
+<tr class="separator:a93f514700ccf00d08dbdcff7f1224eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aa3cd3e43291e81e795d642b79b6088e6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a></td></tr>
+<tr class="separator:aa3cd3e43291e81e795d642b79b6088e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="abbd628d8a30e6695b3715ae72a693e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __HSI</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a16323f44d2b5b11ef3972f71339cbd39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __SYSTEM_CLOCK</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">SystemCoreClockUpdate()</a>, and <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a93f514700ccf00d08dbdcff7f1224eb2">SystemInit()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8687edecd98881631a879bd10528c7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define __XTAL</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae0c36a9591fe6e9c45ecb21a794f0f0f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemCoreClockUpdate </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Update SystemCoreClock variable</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a93f514700ccf00d08dbdcff7f1224eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void SystemInit </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Initialize the system</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">none</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a16323f44d2b5b11ef3972f71339cbd39">__SYSTEM_CLOCK</a>, and <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">SystemCoreClock</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa3cd3e43291e81e795d642b79b6088e6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t SystemCoreClock</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_be2d3df67661aefe0e3f0071a1d6f8f1.html">DSP_Lib</a></li><li class="navelem"><a class="el" href="dir_50f4d4f91ce5cd72cb6928b47e85a7f8.html">Examples</a></li><li class="navelem"><a class="el" href="dir_e04602aba7b2f9f43e3429e32fb5dc36.html">arm_variance_example</a></li><li class="navelem"><a class="el" href="dir_4646a6ed5faa53e0aa863c10960e3ab2.html">ARM</a></li><li class="navelem"><a class="el" href="dir_822489d6fe1c800fff671c2e07883531.html">RTE</a></li><li class="navelem"><a class="el" href="dir_0a655a63e9fde46c9762ddfc77ca04bf.html">Device</a></li><li class="navelem"><a class="el" href="dir_d6b73ad7e408302c29ea0ebadf42639d.html">ARMCM7_SP</a></li><li class="navelem"><a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html">system_ARMCM7.c</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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new file mode 100644
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>RTE_Components.h File Reference</title>
+<title>CMSIS-DSP: RTE_Components.h File Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+  <td style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <div class="headertitle">
+<div class="title">arm_variance_example_f32.c File Reference</div>  </div>
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+Macros</h2></td></tr>
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+<tr class="memitem:af61f43ad332a2322e43ced590b6d9768"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example__f32_8c.html#af61f43ad332a2322e43ced590b6d9768">wire3</a> [<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td></tr>
+<tr class="separator:af61f43ad332a2322e43ced590b6d9768"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9170ec9e681e2b519fe9c46a30455841"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example__f32_8c.html#a9170ec9e681e2b519fe9c46a30455841">testInput_f32</a> [32]</td></tr>
+<tr class="separator:a9170ec9e681e2b519fe9c46a30455841"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab6558f40a619c2502fbc24c880fd4fb0"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a></td></tr>
+<tr class="separator:ab6558f40a619c2502fbc24c880fd4fb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a26cbbfe2a7905669e8440159465050df"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="arm__variance__example__f32_8c.html#a26cbbfe2a7905669e8440159465050df">refVarianceOut</a></td></tr>
+<tr class="separator:a26cbbfe2a7905669e8440159465050df"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a3fd2b1bcd7ddcf506237987ad780f495"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define DELTA</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="arm__variance__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8a1d2ed31f7c9a00fec46a798edb61b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define MAX_BLOCKSIZE</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="a52d2cba30e6946c95578be946ac12a65"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t main </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>References <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32()</a>, <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_dot_prod_f32()</a>, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__variance__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, <a class="el" href="arm__variance__example__f32_8c.html#a26cbbfe2a7905669e8440159465050df">refVarianceOut</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, <a class="el" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, and <a class="el" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ab6558f40a619c2502fbc24c880fd4fb0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t blockSize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a26cbbfe2a7905669e8440159465050df"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> refVarianceOut</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_variance_example_f32_8c-example.html#a6">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="arm__variance__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9170ec9e681e2b519fe9c46a30455841"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> testInput_f32[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="acc43b372d92d5027b9f9cac782c8b3c7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> wire1[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a41a9afab5be5ccd2e6f618b83102f0d1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> wire2[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af61f43ad332a2322e43ced590b6d9768"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> wire3[<a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>]</td>
+        </tr>
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diff --git a/Documentation/DSP/html/arm_class_marks_example_f32_8c-example.html b/Documentation/DSP/html/arm_class_marks_example_f32_8c-example.html
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="title">arm_class_marks_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_class_marks_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code to calculate Minimum, Maximum</span></div>
+<div class="line"><span class="comment">*                Mean, std and variance of marks obtained in a class</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment">* -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define USE_STATIC_INIT</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"> <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Global defines</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define TEST_LENGTH_SAMPLES   (20*4)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** List of Marks scored by 20 students for 4 subjects</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">testMarks_f32</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>] =</div>
+<div class="line">{</div>
+<div class="line">  42.000000,  37.000000,  81.000000,  28.000000,</div>
+<div class="line">  83.000000,  72.000000,  36.000000,  38.000000,</div>
+<div class="line">  32.000000,  51.000000,  63.000000,  64.000000,</div>
+<div class="line">  97.000000,  82.000000,  95.000000,  90.000000,</div>
+<div class="line">  66.000000,  51.000000,  54.000000,  42.000000,</div>
+<div class="line">  67.000000,  56.000000,  45.000000,  57.000000,</div>
+<div class="line">  67.000000,  69.000000,  35.000000,  52.000000,</div>
+<div class="line">  29.000000,  81.000000,  58.000000,  47.000000,</div>
+<div class="line">  38.000000,  76.000000, 100.000000,  29.000000,</div>
+<div class="line">  33.000000,  47.000000,  29.000000,  50.000000,</div>
+<div class="line">  34.000000,  41.000000,  61.000000,  46.000000,</div>
+<div class="line">  52.000000,  50.000000,  48.000000,  36.000000,</div>
+<div class="line">  47.000000,  55.000000,  44.000000,  40.000000,</div>
+<div class="line"> 100.000000,  94.000000,  84.000000,  37.000000,</div>
+<div class="line">  32.000000,  71.000000,  47.000000,  77.000000,</div>
+<div class="line">  31.000000,  50.000000,  49.000000,  35.000000,</div>
+<div class="line">  63.000000,  67.000000,  40.000000,  31.000000,</div>
+<div class="line">  29.000000,  68.000000,  61.000000,  38.000000,</div>
+<div class="line">  31.000000,  28.000000,  28.000000,  76.000000,</div>
+<div class="line">  55.000000,  33.000000,  29.000000,  39.000000</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Number of subjects X 1</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a>[4] =</div>
+<div class="line">{</div>
+<div class="line">  1.000,  1.000,   1.000,  1.000</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** f32 Output buffer</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Global defines</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="preprocessor">#define   NUMSTUDENTS  20</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define     NUMSUBJECTS  4</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Global variables</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"> uint32_t    <a name="a4"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a> = 20;</div>
+<div class="line"> uint32_t    <a name="a5"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">numSubjects</a> = 4;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>    <a name="a6"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">max_marks</a>, <a name="a7"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">min_marks</a>, <a name="a8"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, <a name="a9"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">std</a>, <a name="a10"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>;</div>
+<div class="line"> uint32_t    <a name="a11"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Main f32 test function.  It returns maximum marks secured and student number</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a12"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>()</div>
+<div class="line">{</div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#ifndef  USE_STATIC_INIT</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line">  <a name="_a13"></a><a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> srcA;</div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> srcB;</div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> dstC;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Input and output matrices initializations */</span></div>
+<div class="line">  <a name="a14"></a><a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;srcA, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">numSubjects</a>, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">testMarks_f32</a>);</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;srcB, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">numSubjects</a>, 1, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a>);</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;dstC, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, 1, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>);</div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#else</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line">  <span class="comment">/* Static Initializations of Input and output matrix sizes and array */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> srcA = {<a name="a15"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">NUMSTUDENTS</a>, <a name="a16"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">NUMSUBJECTS</a>, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">testMarks_f32</a>};</div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> srcB = {<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">NUMSUBJECTS</a>, 1, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">testUnity_f32</a>};</div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> dstC = {<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">NUMSTUDENTS</a>, 1, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>};</div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *Call the Matrix multiplication process function</span></div>
+<div class="line"><span class="comment">  * ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a17"></a><a class="code" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32</a>(&amp;srcA, &amp;srcB, &amp;dstC);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the Max function to calculate max marks among numStudents</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a18"></a><a class="code" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8" title="Maximum value of a floating-point vector.">arm_max_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">max_marks</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the Min function to calculate min marks among numStudents</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a19"></a><a class="code" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a" title="Minimum value of a floating-point vector.">arm_min_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">min_marks</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">student_num</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the Mean function to calculate mean</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a20"></a><a class="code" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b" title="Mean value of a floating-point vector.">arm_mean_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the std function to calculate standard deviation</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a21"></a><a class="code" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2" title="Standard deviation of the elements of a floating-point vector.">arm_std_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">std</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the var function to calculate variance</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <a name="a22"></a><a class="code" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96" title="Variance of the elements of a floating-point vector.">arm_var_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">numStudents</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+<title>CMSIS-DSP: arm_convolution_example_f32.c</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_convolution_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_convolution_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating Convolution of two input signals using fft.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment">* -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Defines each of the tests performed</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="preprocessor">#define MAX_BLOCKSIZE   128</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA           (0.000001f)</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define SNR_THRESHOLD   90</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare I/O buffers</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];        <span class="comment">/* Input A */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];        <span class="comment">/* Input B */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a> * 2];   <span class="comment">/* Output */</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data for Floating point Convolution example for 32-blockSize</span></div>
+<div class="line"><span class="comment">* Generated by the MATLAB randn() function</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">testInputA_f32</a>[64] =</div>
+<div class="line">{</div>
+<div class="line">  -0.808920,   1.357369,   1.180861,  -0.504544,   1.762637,  -0.703285,</div>
+<div class="line">   1.696966,   0.620571,  -0.151093,  -0.100235,  -0.872382,  -0.403579,</div>
+<div class="line">  -0.860749,  -0.382648,  -1.052338,   0.128113,  -0.646269,   1.093377,</div>
+<div class="line">  -2.209198,   0.471706,   0.408901,   1.266242,   0.598252,   1.176827,</div>
+<div class="line">  -0.203421,   0.213596,  -0.851964,  -0.466958,   0.021841,  -0.698938,</div>
+<div class="line">  -0.604107,   0.461778,  -0.318219,   0.942520,   0.577585,   0.417619,</div>
+<div class="line">   0.614665,   0.563679,  -1.295073,  -0.764437,   0.952194,  -0.859222,</div>
+<div class="line">  -0.618554,  -2.268542,  -1.210592,   1.655853,  -2.627219,  -0.994249,</div>
+<div class="line">  -1.374704,   0.343799,   0.025619,   1.227481,  -0.708031,   0.069355,</div>
+<div class="line">  -1.845228,  -1.570886,   1.010668,  -1.802084,   1.630088,   1.286090,</div>
+<div class="line">  -0.161050,  -0.940794,   0.367961,   0.291907</div>
+<div class="line"></div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a5"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">testInputB_f32</a>[64] =</div>
+<div class="line">{</div>
+<div class="line">   0.933724,   0.046881,   1.316470,   0.438345,   0.332682,   2.094885,</div>
+<div class="line">   0.512081,   0.035546,   0.050894,  -2.320371,   0.168711,  -1.830493,</div>
+<div class="line">  -0.444834,  -1.003242,  -0.531494,  -1.365600,  -0.155420,  -0.757692,</div>
+<div class="line">  -0.431880,  -0.380021,   0.096243,  -0.695835,   0.558850,  -1.648962,</div>
+<div class="line">   0.020369,  -0.363630,   0.887146,   0.845503,  -0.252864,  -0.330397,</div>
+<div class="line">   1.269131,  -1.109295,  -1.027876,   0.135940,   0.116721,  -0.293399,</div>
+<div class="line">  -1.349799,   0.166078,  -0.802201,   0.369367,  -0.964568,  -2.266011,</div>
+<div class="line">   0.465178,   0.651222,  -0.325426,   0.320245,  -0.784178,  -0.579456,</div>
+<div class="line">   0.093374,   0.604778,  -0.048225,   0.376297,  -0.394412,   0.578182,</div>
+<div class="line">  -1.218141,  -1.387326,   0.692462,  -0.631297,   0.153137,  -0.638952,</div>
+<div class="line">  0.635474,   -0.970468,   1.334057,  -0.111370</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <span class="keywordtype">float</span> <a name="a6"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>[127] =</div>
+<div class="line">{</div>
+<div class="line">   -0.818943,    1.229484,  -0.533664,    1.016604,   0.341875,  -1.963656,</div>
+<div class="line">    5.171476,    3.478033,   7.616361,    6.648384,   0.479069,   1.792012,</div>
+<div class="line">   -1.295591,   -7.447818,   0.315830,  -10.657445,  -2.483469,  -6.524236,</div>
+<div class="line">   -7.380591,   -3.739005,  -8.388957,    0.184147,  -1.554888,   3.786508,</div>
+<div class="line">   -1.684421,    5.400610,  -1.578126,    7.403361,   8.315999,   2.080267,</div>
+<div class="line">   11.077776,    2.749673,   7.138962,    2.748762,   0.660363,   0.981552,</div>
+<div class="line">    1.442275,    0.552721,  -2.576892,    4.703989,   0.989156,   8.759344,</div>
+<div class="line">   -0.564825,   -3.994680,   0.954710,   -5.014144,   6.592329,   1.599488,</div>
+<div class="line">  -13.979146,   -0.391891,  -4.453369,   -2.311242,  -2.948764,   1.761415,</div>
+<div class="line">   -0.138322,   10.433007,  -2.309103,    4.297153,   8.535523,   3.209462,</div>
+<div class="line">    8.695819,    5.569919,   2.514304,    5.582029,   2.060199,   0.642280,</div>
+<div class="line">    7.024616,    1.686615,  -6.481756,    1.343084,  -3.526451,   1.099073,</div>
+<div class="line">   -2.965764,   -0.173723,  -4.111484,    6.528384,  -6.965658,   1.726291,</div>
+<div class="line">    1.535172,   11.023435,   2.338401,   -4.690188,   1.298210,   3.943885,</div>
+<div class="line">    8.407885,    5.168365,   0.684131,    1.559181,   1.859998,   2.852417,</div>
+<div class="line">    8.574070,   -6.369078,   6.023458,   11.837963,  -6.027632,   4.469678,</div>
+<div class="line">   -6.799093,   -2.674048,   6.250367,   -6.809971,  -3.459360,   9.112410,</div>
+<div class="line">   -2.711621,   -1.336678,   1.564249,   -1.564297,  -1.296760,   8.904013,</div>
+<div class="line">   -3.230109,    6.878013,  -7.819823,    3.369909,  -1.657410,  -2.007358,</div>
+<div class="line">   -4.112825,    1.370685,  -3.420525,   -6.276605,   3.244873,  -3.352638,</div>
+<div class="line">    1.545372,    0.902211,   0.197489,   -1.408732,   0.523390,   0.348440, 0</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare Global variables</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line">uint32_t <a name="a7"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a> = 64;   <span class="comment">/* Length of Input A */</span></div>
+<div class="line">uint32_t <a name="a8"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a> = 64;   <span class="comment">/* Length of Input B */</span></div>
+<div class="line">uint32_t <a name="a9"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">outLen</a>;         <span class="comment">/* Length of convolution output */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a10"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>;           <span class="comment">/* output SNR */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a11"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a12"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;                           <span class="comment">/* Status of the example */</span></div>
+<div class="line">  <a name="_a13"></a><a class="code" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a> cfft_instance;  <span class="comment">/* CFFT Structure instance */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* CFFT Structure instance pointer */</span></div>
+<div class="line">  <a class="code" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a> *cfft_instance_ptr =</div>
+<div class="line">      (<a class="code" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a>*) &amp;cfft_instance;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* output length of convolution */</span></div>
+<div class="line">  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">outLen</a> = <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a> + <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a> - 1;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise the fft input buffers with all zeros */</span></div>
+<div class="line">  <a name="a14"></a><a class="code" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32</a>(0.0,  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>);</div>
+<div class="line">  <a class="code" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32</a>(0.0,  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Copy the input values to the fft input buffers */</span></div>
+<div class="line">  <a name="a15"></a><a class="code" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32</a>(<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">testInputA_f32</a>,  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>/2);</div>
+<div class="line">  <a class="code" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32</a>(<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">testInputB_f32</a>,  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>/2);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize the CFFT function to compute 64 point fft */</span></div>
+<div class="line">  status = <a name="a16"></a><a class="code" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a" title="Initialization function for the floating-point CFFT/CIFFT.">arm_cfft_radix4_init_f32</a>(cfft_instance_ptr, 64, 0, 1);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Transform input a[n] from time domain to frequency domain A[k] */</span></div>
+<div class="line">  <a name="a17"></a><a class="code" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32</a>(cfft_instance_ptr, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>);</div>
+<div class="line">  <span class="comment">/* Transform input b[n] from time domain to frequency domain B[k] */</span></div>
+<div class="line">  <a class="code" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32</a>(cfft_instance_ptr, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Complex Multiplication of the two input buffers in frequency domain */</span></div>
+<div class="line">  <a name="a18"></a><a class="code" href="group___cmplx_by_cmplx_mult.html#ga14b47080054a1ba1250a86805be1ff6b" title="Floating-point complex-by-complex multiplication.">arm_cmplx_mult_cmplx_f32</a>(<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">Ak</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">Bk</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>/2);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize the CIFFT function to compute 64 point ifft */</span></div>
+<div class="line">  status = <a class="code" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a" title="Initialization function for the floating-point CFFT/CIFFT.">arm_cfft_radix4_init_f32</a>(cfft_instance_ptr, 64, 1, 1);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Transform the multiplication output from frequency domain to time domain,</span></div>
+<div class="line"><span class="comment">     that gives the convolved output  */</span></div>
+<div class="line">  <a class="code" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32</a>(cfft_instance_ptr, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* SNR Calculation */</span></div>
+<div class="line">  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> = <a name="a19"></a><a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>((<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a13521f3164dc55679f43b7cb2e41e098">AxB</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a> + srcBLen - 1);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Compare the SNR with threshold to test whether the</span></div>
+<div class="line"><span class="comment">     computed output is matched with the reference output values. */</span></div>
+<div class="line">  <span class="keywordflow">if</span>( <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> &gt; <a name="a20"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a21"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
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diff --git a/Documentation/DSP/html/arm_dotproduct_example_f32_8c-example.html b/Documentation/DSP/html/arm_dotproduct_example_f32_8c-example.html
new file mode 100644
index 0000000..a175a6b
--- /dev/null
+++ b/Documentation/DSP/html/arm_dotproduct_example_f32_8c-example.html
@@ -0,0 +1,260 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-DSP: arm_dotproduct_example_f32.c</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_dotproduct_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_dotproduct_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code computing dot product of two vectors.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Defines each of the tests performed</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="preprocessor">#define MAX_BLOCKSIZE     32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA           (0.000001f)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data for Floating point Dot Product example for 32-blockSize</span></div>
+<div class="line"><span class="comment">* Generated by the MATLAB randn() function</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Test input data of srcA for blockSize 32</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">srcA_buf_f32</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>] =</div>
+<div class="line">{</div>
+<div class="line">  -0.4325648115282207,  -1.6655843782380970,  0.1253323064748307,</div>
+<div class="line">   0.2876764203585489,  -1.1464713506814637,  1.1909154656429988,</div>
+<div class="line">   1.1891642016521031,  -0.0376332765933176,  0.3272923614086541,</div>
+<div class="line">   0.1746391428209245,  -0.1867085776814394,  0.7257905482933027,</div>
+<div class="line">  -0.5883165430141887,   2.1831858181971011, -0.1363958830865957,</div>
+<div class="line">   0.1139313135208096,   1.0667682113591888,  0.0592814605236053,</div>
+<div class="line">  -0.0956484054836690,  -0.8323494636500225,  0.2944108163926404,</div>
+<div class="line">  -1.3361818579378040,   0.7143245518189522,  1.6235620644462707,</div>
+<div class="line">  -0.6917757017022868,   0.8579966728282626,  1.2540014216025324,</div>
+<div class="line">  -1.5937295764474768,  -1.4409644319010200,  0.5711476236581780,</div>
+<div class="line">  -0.3998855777153632,   0.6899973754643451</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Test input data of srcB for blockSize 32</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">srcB_buf_f32</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>] =</div>
+<div class="line">{</div>
+<div class="line">   1.7491401329284098,  0.1325982188803279,   0.3252281811989881,</div>
+<div class="line">  -0.7938091410349637,  0.3149236145048914,  -0.5272704888029532,</div>
+<div class="line">   0.9322666565031119,  1.1646643544607362,  -2.0456694357357357,</div>
+<div class="line">  -0.6443728590041911,  1.7410657940825480,   0.4867684246821860,</div>
+<div class="line">   1.0488288293660140,  1.4885752747099299,   1.2705014969484090,</div>
+<div class="line">  -1.8561241921210170,  2.1343209047321410,  1.4358467535865909,</div>
+<div class="line">  -0.9173023332875400, -1.1060770780029008,   0.8105708062681296,</div>
+<div class="line">   0.6985430696369063, -0.4015827425012831,   1.2687512030669628,</div>
+<div class="line">  -0.7836083053674872,  0.2132664971465569,   0.7878984786088954,</div>
+<div class="line">   0.8966819356782295, -0.1869172943544062,   1.0131816724341454,</div>
+<div class="line">   0.2484350696132857,  0.0596083377937976</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* Reference dot product output */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a3"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">refDotProdOut</a> = 5.9273644806352142;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare Global variables</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];  <span class="comment">/* Intermediate output */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a5"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>;  <span class="comment">/* Final ouput */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a6"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;   <span class="comment">/* Status of the example */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a7"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  uint32_t i;       <span class="comment">/* Loop counter */</span></div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> diff;     <span class="comment">/* Difference between reference and test outputs */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Multiplication of two input buffers */</span></div>
+<div class="line">  <a name="a8"></a><a class="code" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32</a>(<a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">srcA_buf_f32</a>, <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">srcB_buf_f32</a>, <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a>, <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Accumulate the multiplication output values to</span></div>
+<div class="line"><span class="comment">     get the dot product of the two inputs */</span></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i&lt; <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">    <a name="a9"></a><a class="code" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd" title="Floating-point vector addition.">arm_add_f32</a>(&amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, &amp;<a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">multOutput</a>[i], &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, 1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* absolute value of difference between ref and test */</span></div>
+<div class="line">  diff = fabsf(<a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">refDotProdOut</a> - <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Comparison of dot product value with reference */</span></div>
+<div class="line">  <span class="keywordflow">if</span>(diff &gt; <a name="a10"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a> = <a name="a11"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a> == <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
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diff --git a/Documentation/DSP/html/arm_fft_bin_example_f32_8c-example.html b/Documentation/DSP/html/arm_fft_bin_example_f32_8c-example.html
new file mode 100644
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_fft_bin_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:             arm_fft_bin_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating calculation of Max energy bin of</span></div>
+<div class="line"><span class="comment">*                frequency domain of input signal.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__const__structs_8h.html">arm_const_structs.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define TEST_LENGTH_SAMPLES 2048</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* -------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* External Input and Output buffer Declarations for FFT Bin Example</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">testInput_f32_10khz</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>/2];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Global variables for FFT Bin Example</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line">uint32_t <a name="a3"></a><a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a> = 1024;</div>
+<div class="line">uint32_t <a name="a4"></a><a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a> = 0;</div>
+<div class="line">uint32_t <a name="a5"></a><a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">doBitReverse</a> = 1;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* Reference index at which max energy of bin ocuurs */</span></div>
+<div class="line">uint32_t <a name="a6"></a><a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">refIndex</a> = 213, <a name="a7"></a><a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a> = 0;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Max magnitude FFT Bin test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a8"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a9"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> maxValue;</div>
+<div class="line"></div>
+<div class="line">  status = <a name="a10"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Process the data through the CFFT/CIFFT module */</span></div>
+<div class="line">  <a name="a11"></a><a class="code" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80" title="Processing function for the floating-point complex FFT.">arm_cfft_f32</a>(&amp;<a name="a12"></a><a class="code" href="arm__const__structs_8c.html#a05abc294a9159abbd6ffb4f188fe18b1">arm_cfft_sR_f32_len1024</a>, <a class="code" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">testInput_f32_10khz</a>, <a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">doBitReverse</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Process the data through the Complex Magnitude Module for</span></div>
+<div class="line"><span class="comment">  calculating the magnitude at each bin */</span></div>
+<div class="line">  <a name="a13"></a><a class="code" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213" title="Floating-point complex magnitude.">arm_cmplx_mag_f32</a>(<a class="code" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">testInput_f32_10khz</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculates maxValue and returns corresponding BIN value */</span></div>
+<div class="line">  <a name="a14"></a><a class="code" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8" title="Maximum value of a floating-point vector.">arm_max_f32</a>(<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">fftSize</a>, &amp;maxValue, &amp;<a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>(<a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">testIndex</a> !=  <a class="code" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">refIndex</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a15"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Loop here if the signals fail the PASS check.</span></div>
+<div class="line"><span class="comment">  ** This denotes a test failure</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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diff --git a/Documentation/DSP/html/arm_fir_example_f32_8c-example.html b/Documentation/DSP/html/arm_fir_example_f32_8c-example.html
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_fir_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment"> * Title:        arm_fir_example_f32.c</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * Description:  Example code demonstrating how an FIR filter can be used</span></div>
+<div class="line"><span class="comment"> *               as a low pass filter.</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Include Files</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Macro Defines</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define TEST_LENGTH_SAMPLES  320</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define SNR_THRESHOLD_F32    140.0f</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define BLOCK_SIZE            32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define NUM_TAPS              29</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* -------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * The input signal and reference output (computed with MATLAB)</span></div>
+<div class="line"><span class="comment"> * are defined externally in arm_fir_lpf_data.c.</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__fir__data_8c.html#a143154a165358f0016714cb7f1c83970">testInput_f32_1kHz_15kHz</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="arm__fir__data_8c.html#aa7570f8c2e7a3c929d9d32a14a51389f">refOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* -------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * Declare Test output buffer</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* -------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * Declare State buffer of size (numTaps + blockSize - 1)</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">firStateF32</a>[<a name="a5"></a><a class="code" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a> + <a name="a6"></a><a class="code" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a> - 1];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** FIR Coefficients buffer generated using fir1() MATLAB function.</span></div>
+<div class="line"><span class="comment">** fir1(28, 6/24)</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a7"></a><a class="code" href="arm__fir__example__f32_8c.html#ae070afd14f437ad1ae0a947e4403dd0e">firCoeffs32</a>[<a class="code" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>] = {</div>
+<div class="line">  -0.0018225230f, -0.0015879294f, +0.0000000000f, +0.0036977508f, +0.0080754303f, +0.0085302217f, -0.0000000000f, -0.0173976984f,</div>
+<div class="line">  -0.0341458607f, -0.0333591565f, +0.0000000000f, +0.0676308395f, +0.1522061835f, +0.2229246956f, +0.2504960933f, +0.2229246956f,</div>
+<div class="line">  +0.1522061835f, +0.0676308395f, +0.0000000000f, -0.0333591565f, -0.0341458607f, -0.0173976984f, -0.0000000000f, +0.0085302217f,</div>
+<div class="line">  +0.0080754303f, +0.0036977508f, +0.0000000000f, -0.0015879294f, -0.0018225230f</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * Global variables for FIR LPF Example</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">uint32_t <a name="a8"></a><a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a> = <a class="code" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a>;</div>
+<div class="line">uint32_t <a name="a9"></a><a class="code" href="arm__fir__example__f32_8c.html#af7d5613bda9a19b2ccae5d6cb79a22bc">numBlocks</a> = <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>/<a class="code" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">BLOCK_SIZE</a>;</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a10"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * FIR LPF Example</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a11"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  uint32_t i;</div>
+<div class="line">  <a name="_a12"></a><a class="code" href="structarm__fir__instance__f32.html" title="Instance structure for the floating-point FIR filter.">arm_fir_instance_f32</a> S;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a13"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  *inputF32, *outputF32;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize input and output buffer pointers */</span></div>
+<div class="line">  inputF32 = &amp;<a class="code" href="arm__fir__data_8c.html#a143154a165358f0016714cb7f1c83970">testInput_f32_1kHz_15kHz</a>[0];</div>
+<div class="line">  outputF32 = &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[0];</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Call FIR init function to initialize the instance structure. */</span></div>
+<div class="line">  <a name="a14"></a><a class="code" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db" title="Initialization function for the floating-point FIR filter.">arm_fir_init_f32</a>(&amp;S, <a class="code" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">NUM_TAPS</a>, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)&amp;<a class="code" href="arm__fir__example__f32_8c.html#ae070afd14f437ad1ae0a947e4403dd0e">firCoeffs32</a>[0], &amp;<a class="code" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">firStateF32</a>[0], <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Call the FIR process function for every blockSize samples</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i &lt; <a class="code" href="arm__fir__example__f32_8c.html#af7d5613bda9a19b2ccae5d6cb79a22bc">numBlocks</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">    <a name="a15"></a><a class="code" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a" title="Processing function for the floating-point FIR filter.">arm_fir_f32</a>(&amp;S, inputF32 + (i * <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>), outputF32 + (i * blockSize), blockSize);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Compare the generated output against the reference output computed</span></div>
+<div class="line"><span class="comment">  ** in MATLAB.</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> = <a name="a16"></a><a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>(&amp;<a class="code" href="arm__fir__data_8c.html#aa7570f8c2e7a3c929d9d32a14a51389f">refOutput</a>[0], &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[0], <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> &lt; <a name="a17"></a><a class="code" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">SNR_THRESHOLD_F32</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a18"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span></div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a19"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Loop here if the signal does not match the reference output.</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
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+</html>
diff --git a/Documentation/DSP/html/arm_graphic_equalizer_example_q31_8c-example.html b/Documentation/DSP/html/arm_graphic_equalizer_example_q31_8c-example.html
new file mode 100644
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@@ -0,0 +1,448 @@
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_graphic_equalizer_example_q31.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_graphic_equalizer_example_q31.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example showing an audio graphic equalizer constructed</span></div>
+<div class="line"><span class="comment">*                out of Biquad filters.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* Length of the overall data in the test */</span></div>
+<div class="line"><span class="preprocessor">#define TESTLENGTH 320</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* Block size for the underlying processing */</span></div>
+<div class="line"><span class="preprocessor">#define BLOCKSIZE 32</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* Total number of blocks to run */</span></div>
+<div class="line"><span class="preprocessor">#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* Number of 2nd order Biquad stages per filter */</span></div>
+<div class="line"><span class="preprocessor">#define NUMSTAGES 2</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor">#define SNR_THRESHOLD_F32  98</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* -------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * External Declarations for Input and Output buffers</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[<a name="a1"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Q31 state buffers for Band1, Band2, Band3, Band4, Band5</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6" title="64-bit fractional data type in 1.63 format.">q63_t</a> <a name="a4"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a8e7062fa3f8b5ed9849566d16270f4ec">biquadStateBand1Q31</a>[4 * 2];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6" title="64-bit fractional data type in 1.63 format.">q63_t</a> <a name="a5"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4a82090b15ebd0a45048d94f16131782">biquadStateBand2Q31</a>[4 * 2];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a6"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#ad487a54340631b764952fccf599adc8a">biquadStateBand3Q31</a>[4 * 2];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a7"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a122ed5f6d8665139fbe9424a073b3474">biquadStateBand4Q31</a>[4 * 2];</div>
+<div class="line"><span class="keyword">static</span> <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a8"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#af88658a8c5f87eeea26da30305921b59">biquadStateBand5Q31</a>[4 * 2];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Q31 input and output buffers</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a9"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>[<a name="a10"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a11"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Entire coefficient table.  There are 10 coefficients per 4th order Biquad</span></div>
+<div class="line"><span class="comment">** cascade filter.  The first 10 coefficients correspond to the -9 dB gain</span></div>
+<div class="line"><span class="comment">** setting of band 1; the next 10 coefficient correspond to the -8 dB gain</span></div>
+<div class="line"><span class="comment">** setting of band 1; and so on.  There are 10*19=190 coefficients in total</span></div>
+<div class="line"><span class="comment">** for band 1 (gains = -9, -8, -7, ..., 9).  After this come the 190 coefficients</span></div>
+<div class="line"><span class="comment">** for band 2.</span></div>
+<div class="line"><span class="comment">**</span></div>
+<div class="line"><span class="comment">** The coefficients are in Q29 format and require a postShift of 2.</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> <a name="a12"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[950] = {</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Band 1, -9 dB gain */</span></div>
+<div class="line">  535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981,</div>
+<div class="line">  <span class="comment">/* Band 1, -8 dB gain */</span></div>
+<div class="line">  535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778,</div>
+<div class="line">  535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686,</div>
+<div class="line">  536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972,</div>
+<div class="line">  536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897,</div>
+<div class="line">  536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716,</div>
+<div class="line">  536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676,</div>
+<div class="line">  536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017,</div>
+<div class="line">  536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975,</div>
+<div class="line">  536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777,</div>
+<div class="line">  537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648,</div>
+<div class="line">  537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803,</div>
+<div class="line">  537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454,</div>
+<div class="line">  537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806,</div>
+<div class="line">  537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059,</div>
+<div class="line">  537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409,</div>
+<div class="line">  537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045,</div>
+<div class="line">  538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151,</div>
+<div class="line">  538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907,</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Band 2, -9 dB gain */</span></div>
+<div class="line">  531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367,</div>
+<div class="line">  <span class="comment">/* Band 2, -8 dB gain */</span></div>
+<div class="line">  532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122,</div>
+<div class="line">  532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090,</div>
+<div class="line">  533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573,</div>
+<div class="line">  534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887,</div>
+<div class="line">  534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373,</div>
+<div class="line">  535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399,</div>
+<div class="line">  535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368,</div>
+<div class="line">  536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724,</div>
+<div class="line">  536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953,</div>
+<div class="line">  537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588,</div>
+<div class="line">  537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208,</div>
+<div class="line">  538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437,</div>
+<div class="line">  539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946,</div>
+<div class="line">  539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450,</div>
+<div class="line">  540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700,</div>
+<div class="line">  540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484,</div>
+<div class="line">  541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621,</div>
+<div class="line">  542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956,</div>
+<div class="line">  518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571,</div>
+<div class="line">  520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158,</div>
+<div class="line">  522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225,</div>
+<div class="line">  524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221,</div>
+<div class="line">  526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897,</div>
+<div class="line">  528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319,</div>
+<div class="line">  530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872,</div>
+<div class="line">  532859778, -1027954970, 498129955, 1035779077, -501565907, 532859778, -947363742, 438528571, 937742446, -428279254,</div>
+<div class="line">  534862260, -1031790763, 499874098, 1035707863, -501593525, 534862260, -946969823, 436950987, 942153486, -431817474,</div>
+<div class="line">  536870912, -1035670279, 501655630, 1035670279, -501655630, 536870912, -946413508, 435254839, 946413508, -435254839,</div>
+<div class="line">  538887107, -1039597419, 503477238, 1035665609, -501751354, 538887107, -945691703, 433439146, 950526127, -438591937,</div>
+<div class="line">  540912240, -1043575967, 505341475, 1035692963, -501879659, 540912240, -944801359, 431503152, 954495080, -441829621,</div>
+<div class="line">  542947726, -1047609569, 507250741, 1035751307, -502039364, 542947726, -943739490, 429446349, 958324201, -444968987,</div>
+<div class="line">  544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351,</div>
+<div class="line">  547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226,</div>
+<div class="line">  549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298,</div>
+<div class="line">  551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401,</div>
+<div class="line">  553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495,</div>
+<div class="line">  555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644,</div>
+<div class="line">  494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750,</div>
+<div class="line">  498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942,</div>
+<div class="line">  503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028,</div>
+<div class="line">  508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289,</div>
+<div class="line">  512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811,</div>
+<div class="line">  517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485,</div>
+<div class="line">  522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012,</div>
+<div class="line">  527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882,</div>
+<div class="line">  531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352,</div>
+<div class="line">  536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420,</div>
+<div class="line">  541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786,</div>
+<div class="line">  546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816,</div>
+<div class="line">  551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495,</div>
+<div class="line">  556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389,</div>
+<div class="line">  562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597,</div>
+<div class="line">  567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710,</div>
+<div class="line">  572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767,</div>
+<div class="line">  577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214,</div>
+<div class="line">  583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865,</div>
+<div class="line">  387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270,</div>
+<div class="line">  401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316,</div>
+<div class="line">  416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319,</div>
+<div class="line">  431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540,</div>
+<div class="line">  447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528,</div>
+<div class="line">  464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141,</div>
+<div class="line">  481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559,</div>
+<div class="line">  499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296,</div>
+<div class="line">  517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221,</div>
+<div class="line">  536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566,</div>
+<div class="line">  556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943,</div>
+<div class="line">  577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360,</div>
+<div class="line">  598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230,</div>
+<div class="line">  620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383,</div>
+<div class="line">  643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077,</div>
+<div class="line">  667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004,</div>
+<div class="line">  692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294,</div>
+<div class="line">  717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515,</div>
+<div class="line">  744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673</div>
+<div class="line"></div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Desired gains, in dB, per band</span></div>
+<div class="line"><span class="comment">** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">int</span> <a name="a13"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[5] = {0, -3, 6, 4, -6};</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a14"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>;</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * Graphic equalizer Example</span></div>
+<div class="line"><span class="comment"> * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a15"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  *inputF32, *outputF32;</div>
+<div class="line">  <a name="_a16"></a><a class="code" href="structarm__biquad__cas__df1__32x64__ins__q31.html" title="Instance structure for the high precision Q31 Biquad cascade filter.">arm_biquad_cas_df1_32x64_ins_q31</a> S1;</div>
+<div class="line">  <a class="code" href="structarm__biquad__cas__df1__32x64__ins__q31.html" title="Instance structure for the high precision Q31 Biquad cascade filter.">arm_biquad_cas_df1_32x64_ins_q31</a> S2;</div>
+<div class="line">  <a name="_a17"></a><a class="code" href="structarm__biquad__casd__df1__inst__q31.html" title="Instance structure for the Q31 Biquad cascade filter.">arm_biquad_casd_df1_inst_q31</a> S3;</div>
+<div class="line">  <a class="code" href="structarm__biquad__casd__df1__inst__q31.html" title="Instance structure for the Q31 Biquad cascade filter.">arm_biquad_casd_df1_inst_q31</a> S4;</div>
+<div class="line">  <a class="code" href="structarm__biquad__casd__df1__inst__q31.html" title="Instance structure for the Q31 Biquad cascade filter.">arm_biquad_casd_df1_inst_q31</a> S5;</div>
+<div class="line">  <span class="keywordtype">int</span> i;</div>
+<div class="line">  int32_t <a name="a18"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line"></div>
+<div class="line">  inputF32 = &amp;<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[0];</div>
+<div class="line">  outputF32 = &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[0];</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize the state and coefficient buffers for all Biquad sections */</span></div>
+<div class="line"></div>
+<div class="line">  <a name="a19"></a><a class="code" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31</a>(&amp;S1, <a name="a20"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>,</div>
+<div class="line">            (<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> *) &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[190*0 + 10*(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[0] + 9)],</div>
+<div class="line">            &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a8e7062fa3f8b5ed9849566d16270f4ec">biquadStateBand1Q31</a>[0], 2);</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31</a>(&amp;S2, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>,</div>
+<div class="line">            (<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> *) &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[190*1 + 10*(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[1] + 9)],</div>
+<div class="line">            &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4a82090b15ebd0a45048d94f16131782">biquadStateBand2Q31</a>[0], 2);</div>
+<div class="line"></div>
+<div class="line">  <a name="a21"></a><a class="code" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31</a>(&amp;S3, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>,</div>
+<div class="line">          (<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> *) &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[190*2 + 10*(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[2] + 9)],</div>
+<div class="line">          &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#ad487a54340631b764952fccf599adc8a">biquadStateBand3Q31</a>[0], 2);</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31</a>(&amp;S4, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>,</div>
+<div class="line">          (<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> *) &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[190*3 + 10*(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[3] + 9)],</div>
+<div class="line">          &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a122ed5f6d8665139fbe9424a073b3474">biquadStateBand4Q31</a>[0], 2);</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31</a>(&amp;S5, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">NUMSTAGES</a>,</div>
+<div class="line">          (<a class="code" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0" title="32-bit fractional data type in 1.31 format.">q31_t</a> *) &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">coeffTable</a>[190*4 + 10*(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">gainDB</a>[4] + 9)],</div>
+<div class="line">          &amp;<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#af88658a8c5f87eeea26da30305921b59">biquadStateBand5Q31</a>[0], 2);</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Call the process functions and needs to change filter coefficients</span></div>
+<div class="line"><span class="comment">     for varying the gain of each band */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i &lt; <a name="a22"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a814e34126e1b8150f4de047e1a9e7030">NUMBLOCKS</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Convert block of input data from float to Q31</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a23"></a><a class="code" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554" title="Converts the elements of the floating-point vector to Q31 vector.">arm_float_to_q31</a>(inputF32 + (i*<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>), <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>, BLOCKSIZE);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Scale down by 1/8.  This provides additional headroom so that the</span></div>
+<div class="line"><span class="comment">    ** graphic EQ can apply gain.</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a24"></a><a class="code" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c" title="Multiplies a Q31 vector by a scalar.">arm_scale_q31</a>(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>, 0x7FFFFFFF, -3, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a25"></a><a class="code" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31</a>(&amp;S1, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">inputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line">    <a class="code" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31</a>(&amp;S2, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a26"></a><a class="code" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31</a>(&amp;S3, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line">    <a class="code" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31</a>(&amp;S4, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line">    <a class="code" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31</a>(&amp;S5, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Convert Q31 result back to float</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a27"></a><a class="code" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4" title="Converts the elements of the Q31 vector to floating-point vector.">arm_q31_to_float</a>(<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">outputQ31</a>, outputF32 + (i * <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>), BLOCKSIZE);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">    ** Scale back up</span></div>
+<div class="line"><span class="comment">    ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a28"></a><a class="code" href="group__scale.html#ga3487af88b112f682ee90589cd419e123" title="Multiplies a floating-point vector by a scalar.">arm_scale_f32</a>(outputF32 + (i * <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);</div>
+<div class="line">  };</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> = <a name="a29"></a><a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>(<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">TESTLENGTH</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> &lt; <a name="a30"></a><a class="code" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">SNR_THRESHOLD_F32</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a31"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span></div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a32"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Loop here if the signal does not match the reference output.</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/arm_linear_interp_example_f32_8c-example.html b/Documentation/DSP/html/arm_linear_interp_example_f32_8c-example.html
new file mode 100644
index 0000000..3501864
--- /dev/null
+++ b/Documentation/DSP/html/arm_linear_interp_example_f32_8c-example.html
@@ -0,0 +1,287 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>arm_linear_interp_example_f32.c</title>
+<title>CMSIS-DSP: arm_linear_interp_example_f32.c</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+    <ul class="tablist">
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+<div class="title">arm_linear_interp_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_linear_interp_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating usage of sin function</span></div>
+<div class="line"><span class="comment">*                and uses linear interpolation to get higher precision</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define SNR_THRESHOLD           90</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define TEST_LENGTH_SAMPLES     10</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define XSPACING               (0.00005f)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data for F32 SIN function</span></div>
+<div class="line"><span class="comment">* Generated by the MATLAB rand() function</span></div>
+<div class="line"><span class="comment">* randn(&#39;state&#39;, 0)</span></div>
+<div class="line"><span class="comment">* xi = (((1/4.18318581819710)* randn(blockSize, 1) * 2* pi));</span></div>
+<div class="line"><span class="comment">* --------------------------------------------------------------------*/</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">testInputSin_f32</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>] =</div>
+<div class="line">{</div>
+<div class="line">   -0.649716504673081170, -2.501723745497831200,</div>
+<div class="line">    0.188250329003310100,  0.432092748487532540,</div>
+<div class="line">   -1.722010988459680800,  1.788766476323060600,</div>
+<div class="line">    1.786136060975809500, -0.056525543169408797,</div>
+<div class="line">    0.491596272728153760,  0.262309671126153390</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">*  Reference out of SIN F32 function for Block Size = 10</span></div>
+<div class="line"><span class="comment">*  Calculated from sin(testInputSin_f32)</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------------------*/</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">testRefSinOutput32_f32</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>] =</div>
+<div class="line">{</div>
+<div class="line">   -0.604960695383043530, -0.597090287967934840,</div>
+<div class="line">    0.187140422442966500,  0.418772124875992690,</div>
+<div class="line">   -0.988588831792106880,  0.976338412038794010,</div>
+<div class="line">    0.976903856413481100, -0.056495446835214236,</div>
+<div class="line">    0.472033731854734240,  0.259311907228582830</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">*  Method 1: Test out Buffer Calculated from Cubic Interpolation</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------------------*/</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">*  Method 2: Test out buffer Calculated from Linear Interpolation</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------------------*/</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">testLinIntOutput</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">*  External table used for linear interpolation</span></div>
+<div class="line"><span class="comment">*------------------------------------------------------------------------------*/</span></div>
+<div class="line"><span class="keyword">extern</span> <span class="keywordtype">float</span> <a name="a5"></a><a class="code" href="arm__linear__interp__data_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interep_table</a>[188495];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Global Variables for caluclating SNR&#39;s for Method1 &amp; Method 2</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a6"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">snr1</a>;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a7"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">snr2</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Calculation of Sine values from Cubic Interpolation and Linear interpolation</span></div>
+<div class="line"><span class="comment">* ---------------------------------------------------------------------------- */</span></div>
+<div class="line">int32_t <a name="a8"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  uint32_t i;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a9"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line"></div>
+<div class="line">  <a name="_a10"></a><a class="code" href="structarm__linear__interp__instance__f32.html" title="Instance structure for the floating-point Linear Interpolate function.">arm_linear_interp_instance_f32</a> S = {188495, -3.141592653589793238, <a name="a11"></a><a class="code" href="arm__linear__interp__example__f32_8c.html#a0ecae49cebd837aac53411c8f877503d">XSPACING</a>, &amp;<a class="code" href="arm__linear__interp__data_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interep_table</a>[0]};</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *  Method 1: Test out Calculated from Cubic Interpolation</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i&lt; <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">    <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>[i] = <a name="a12"></a><a class="code" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541" title="Fast approximation to the trigonometric sine function for floating-point data.">arm_sin_f32</a>(<a class="code" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">testInputSin_f32</a>[i]);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *  Method 2: Test out Calculated from Cubic Interpolation and Linear interpolation</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i&lt; <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">      <a class="code" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">testLinIntOutput</a>[i] = <a name="a13"></a><a class="code" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6" title="Process function for the floating-point Linear Interpolation Function.">arm_linear_interp_f32</a>(&amp;S, <a class="code" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">testInputSin_f32</a>[i]);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *            SNR calculation for method 1</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line">  <a class="code" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">snr1</a> = <a name="a14"></a><a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>(<a class="code" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">testRefSinOutput32_f32</a>, <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, 2);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *            SNR calculation for method 2</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line">  <a class="code" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">snr2</a> = <a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>(<a class="code" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">testRefSinOutput32_f32</a>, <a class="code" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">testLinIntOutput</a>, 2);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *            Initialise status depending on SNR calculations</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line">  <span class="keywordflow">if</span>( <a class="code" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">snr2</a> &gt; <a class="code" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">snr1</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a15"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span></div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a16"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Loop here if the signals fail the PASS check.</span></div>
+<div class="line"><span class="comment">  ** This denotes a test failure</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/arm_matrix_example_f32_8c-example.html b/Documentation/DSP/html/arm_matrix_example_f32_8c-example.html
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+++ b/Documentation/DSP/html/arm_matrix_example_f32_8c-example.html
@@ -0,0 +1,309 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">arm_matrix_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_matrix_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating least square fit to data</span></div>
+<div class="line"><span class="comment">*                using matrix functions</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define SNR_THRESHOLD   90</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* --------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize</span></div>
+<div class="line"><span class="comment">* and tapSize</span></div>
+<div class="line"><span class="comment">* --------------------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__matrix__example__f32_8c.html#a974d5f0aace6a99e29ca767907fb3b9f">B_f32</a>[4] =</div>
+<div class="line">{</div>
+<div class="line">  782.0, 7577.0, 470.0, 4505.0</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* --------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Formula to fit is  C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize</span></div>
+<div class="line"><span class="comment">* -------------------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a1"></a><a class="code" href="arm__matrix__example__f32_8c.html#aed27b92d9847194d9dcce40cecf2b48a">A_f32</a>[16] =</div>
+<div class="line">{</div>
+<div class="line">  <span class="comment">/* Const,   numTaps,   blockSize,   numTaps*blockSize */</span></div>
+<div class="line">  1.0,     32.0,      4.0,     128.0,</div>
+<div class="line">  1.0,     32.0,     64.0,    2048.0,</div>
+<div class="line">  1.0,     16.0,      4.0,      64.0,</div>
+<div class="line">  1.0,     16.0,     64.0,    1024.0,</div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Temporary buffers  for storing intermediate values</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="comment">/* Transpose of A Buffer */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="arm__matrix__example__f32_8c.html#a46dc2aa6dfc692af7b4a1379d7329ccd">AT_f32</a>[16];</div>
+<div class="line"><span class="comment">/* (Transpose of A * A) Buffer */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="arm__matrix__example__f32_8c.html#a867497c6bf86014513bf2ad3551aa896">ATMA_f32</a>[16];</div>
+<div class="line"><span class="comment">/* Inverse(Transpose of A * A)  Buffer */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="arm__matrix__example__f32_8c.html#a44425c149c52b326a3b7a77676686f00">ATMAI_f32</a>[16];</div>
+<div class="line"><span class="comment">/* Test Output Buffer */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a5"></a><a class="code" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">X_f32</a>[4];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a6"></a><a class="code" href="arm__matrix__example__f32_8c.html#a6184758419722fa16bb883097c2f596b">xRef_f32</a>[4] = {73.0, 8.0, 21.25, 2.875};</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a7"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a>;</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Max magnitude FFT Bin test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a8"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line"></div>
+<div class="line">  <a name="_a9"></a><a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> A;      <span class="comment">/* Matrix A Instance */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> AT;     <span class="comment">/* Matrix AT(A transpose) instance */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> ATMA;   <span class="comment">/* Matrix ATMA( AT multiply with A) instance */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> ATMAI;  <span class="comment">/* Matrix ATMAI(Inverse of ATMA) instance */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> B;      <span class="comment">/* Matrix B instance */</span></div>
+<div class="line">  <a class="code" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> X;      <span class="comment">/* Matrix X(Unknown Matrix) instance */</span></div>
+<div class="line"></div>
+<div class="line">  uint32_t srcRows, srcColumns;  <span class="comment">/* Temporary variables */</span></div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a10"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 4;</div>
+<div class="line">  <a name="a11"></a><a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;A, srcRows, srcColumns, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="arm__matrix__example__f32_8c.html#aed27b92d9847194d9dcce40cecf2b48a">A_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 4;</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;AT, srcRows, srcColumns, <a class="code" href="arm__matrix__example__f32_8c.html#a46dc2aa6dfc692af7b4a1379d7329ccd">AT_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* calculation of A transpose */</span></div>
+<div class="line">  status = <a name="a12"></a><a class="code" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789" title="Floating-point matrix transpose.">arm_mat_trans_f32</a>(&amp;A, &amp;AT);</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 4;</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;ATMA, srcRows, srcColumns, <a class="code" href="arm__matrix__example__f32_8c.html#a867497c6bf86014513bf2ad3551aa896">ATMA_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* calculation of AT Multiply with A */</span></div>
+<div class="line">  status = <a name="a13"></a><a class="code" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32</a>(&amp;AT, &amp;A, &amp;ATMA);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 4;</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;ATMAI, srcRows, srcColumns, <a class="code" href="arm__matrix__example__f32_8c.html#a44425c149c52b326a3b7a77676686f00">ATMAI_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* calculation of Inverse((Transpose(A) * A) */</span></div>
+<div class="line">  status = <a name="a14"></a><a class="code" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3" title="Floating-point matrix inverse.">arm_mat_inverse_f32</a>(&amp;ATMA, &amp;ATMAI);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* calculation of (Inverse((Transpose(A) * A)) *  Transpose(A)) */</span></div>
+<div class="line">  status = <a class="code" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32</a>(&amp;ATMAI, &amp;AT, &amp;ATMA);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 1;</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;B, srcRows, srcColumns, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="arm__matrix__example__f32_8c.html#a974d5f0aace6a99e29ca767907fb3b9f">B_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */</span></div>
+<div class="line">  srcRows = 4;</div>
+<div class="line">  srcColumns = 1;</div>
+<div class="line">  <a class="code" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32</a>(&amp;X, srcRows, srcColumns, <a class="code" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">X_f32</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* calculation ((Inverse((Transpose(A) * A)) *  Transpose(A)) * B) */</span></div>
+<div class="line">  status = <a class="code" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32</a>(&amp;ATMA, &amp;B, &amp;X);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Comparison of reference with test output */</span></div>
+<div class="line">  <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> = <a name="a15"></a><a class="code" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab" title="Caluclation of SNR.">arm_snr_f32</a>((<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="arm__matrix__example__f32_8c.html#a6184758419722fa16bb883097c2f596b">xRef_f32</a>, <a class="code" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">X_f32</a>, 4);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/*------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  *            Initialise status depending on SNR calculations</span></div>
+<div class="line"><span class="comment">  *------------------------------------------------------------------------------*/</span></div>
+<div class="line">  <span class="keywordflow">if</span>( <a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">snr</a> &gt; <a name="a16"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">SNR_THRESHOLD</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a17"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span></div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a18"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  ** Loop here if the signals fail the PASS check.</span></div>
+<div class="line"><span class="comment">  ** This denotes a test failure</span></div>
+<div class="line"><span class="comment">  ** ------------------------------------------------------------------- */</span></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/arm_signal_converge_example_f32_8c-example.html b/Documentation/DSP/html/arm_signal_converge_example_f32_8c-example.html
new file mode 100644
index 0000000..6450350
--- /dev/null
+++ b/Documentation/DSP/html/arm_signal_converge_example_f32_8c-example.html
@@ -0,0 +1,319 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>CMSIS-DSP: arm_signal_converge_example_f32.c</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_signal_converge_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_signal_converge_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating convergence of an adaptive</span></div>
+<div class="line"><span class="comment">*                filter.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> * -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;math_helper.h&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">** Global defines for the simulation</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#define TEST_LENGTH_SAMPLES 1536</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define NUMTAPS               32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define BLOCKSIZE             32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA_ERROR         0.000001f</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA_COEFF         0.0001f</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define MU                  0.5f</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="preprocessor">#define NUMFRAMES (TEST_LENGTH_SAMPLES / BLOCKSIZE)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare FIR state buffers and structure</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">firStateF32</a>[<a name="a1"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a> + <a name="a2"></a><a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a name="_a3"></a><a class="code" href="structarm__fir__instance__f32.html" title="Instance structure for the floating-point FIR filter.">arm_fir_instance_f32</a> <a name="a4"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a652d3507a776117b4860b3e18f2d2d64">LPF_instance</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare LMSNorm state buffers and structure</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a5"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a706980f6f654d199c61e08e7814bd0a1">lmsStateF32</a>[<a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a> + <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a6"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a276e8a27484cf9389dabf047e76992ed">errOutput</a>[<a name="a7"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"><a name="_a8"></a><a class="code" href="structarm__lms__norm__instance__f32.html" title="Instance structure for the floating-point normalized LMS filter.">arm_lms_norm_instance_f32</a> <a name="a9"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a519f9b4db839245f3bf2075ff4c17605">lmsNorm_instance</a>;</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Function Declarations for Signal Convergence Example</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a10"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#ac786d43cbc17bb09738447034ff8e22e">test_signal_converge_example</a>( <span class="keywordtype">void</span> );</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Internal functions</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a11"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a8f521e839d4fad24a4f12a18dfeae5d4">test_signal_converge</a>(<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>* <a name="a12"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>,</div>
+<div class="line">                        uint32_t <a name="a13"></a><a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">void</span> <a name="a14"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#afd2975c4763ec935771e6f63bfe7758b">getinput</a>(<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>* input,</div>
+<div class="line">     uint32_t fr_cnt,</div>
+<div class="line">          uint32_t <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* External Declarations for FIR F32 module Test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a15"></a><a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">TEST_LENGTH_SAMPLES</a>];</div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a16"></a><a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>[32];</div>
+<div class="line"><span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a17"></a><a class="code" href="arm__signal__converge__data_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">FIRCoeff_f32</a>[32];</div>
+<div class="line"><span class="keyword">extern</span> <a class="code" href="structarm__lms__norm__instance__f32.html" title="Instance structure for the floating-point normalized LMS filter.">arm_lms_norm_instance_f32</a> <a class="code" href="arm__signal__converge__example__f32_8c.html#a519f9b4db839245f3bf2075ff4c17605">lmsNorm_instance</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare I/O buffers</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a18"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a19"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a20"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>[<a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Signal converge test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a21"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  uint32_t i;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a22"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line">  uint32_t index;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> minValue;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize the LMSNorm data structure */</span></div>
+<div class="line">  <a name="a23"></a><a class="code" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670" title="Initialization function for floating-point normalized LMS filter.">arm_lms_norm_init_f32</a>(&amp;lmsNorm_instance, <a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>, <a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a706980f6f654d199c61e08e7814bd0a1">lmsStateF32</a>, <a name="a24"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a09bc9e6a44f0291cfcf578f2efcddfab">MU</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Initialize the FIR data structure */</span></div>
+<div class="line">  <a name="a25"></a><a class="code" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db" title="Initialization function for the floating-point FIR filter.">arm_fir_init_f32</a>(&amp;LPF_instance, <a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>, (<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="arm__signal__converge__data_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">FIRCoeff_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">firStateF32</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  * Loop over the frames of data and execute each of the processing</span></div>
+<div class="line"><span class="comment">  * functions in the system.</span></div>
+<div class="line"><span class="comment">  * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i &lt; <a name="a26"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a4b6b859e1e3f6021a360390be287ca2c">NUMFRAMES</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="comment">/* Read the input data - uniformly distributed random noise - into wire1 */</span></div>
+<div class="line">    <a name="a27"></a><a class="code" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32</a>(<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a> + (i * <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>), <a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, BLOCKSIZE);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* Execute the FIR processing function.  Input wire1 and output wire2 */</span></div>
+<div class="line">    <a name="a28"></a><a class="code" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a" title="Processing function for the floating-point FIR filter.">arm_fir_f32</a>(&amp;LPF_instance, <a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* Execute the LMS Norm processing function*/</span></div>
+<div class="line"></div>
+<div class="line">    <a name="a29"></a><a class="code" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300" title="Processing function for floating-point normalized LMS filter.">arm_lms_norm_f32</a>(&amp;lmsNorm_instance, <span class="comment">/* LMSNorm instance */</span></div>
+<div class="line">         <a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>,                         <span class="comment">/* Input signal */</span></div>
+<div class="line">         <a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>,                         <span class="comment">/* Reference Signal */</span></div>
+<div class="line">         <a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>,                         <span class="comment">/* Converged Signal */</span></div>
+<div class="line">         <a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>,                    <span class="comment">/* Error Signal, this will become small as the signal converges */</span></div>
+<div class="line">         <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);                    <span class="comment">/* BlockSize */</span></div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* apply overall gain */</span></div>
+<div class="line">    <a name="a30"></a><a class="code" href="group__scale.html#ga3487af88b112f682ee90589cd419e123" title="Multiplies a floating-point vector by a scalar.">arm_scale_f32</a>(<a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>, 5, <a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);   <span class="comment">/* in-place buffer */</span></div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  status = <a name="a31"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* -------------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  * Test whether the error signal has reached towards 0.</span></div>
+<div class="line"><span class="comment">  * ----------------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <a name="a32"></a><a class="code" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02" title="Floating-point vector absolute value.">arm_abs_f32</a>(<a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>);</div>
+<div class="line">  <a name="a33"></a><a class="code" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a" title="Minimum value of a floating-point vector.">arm_min_f32</a>(<a class="code" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">err_signal</a>, <a class="code" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">BLOCKSIZE</a>, &amp;minValue, &amp;index);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (minValue &gt; <a name="a34"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a6d3c6a4484dcaac72fbfe5100c39b9b6">DELTA_ERROR</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a35"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  * Test whether the filter coefficients have converged.</span></div>
+<div class="line"><span class="comment">  * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <a name="a36"></a><a class="code" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826" title="Floating-point vector subtraction.">arm_sub_f32</a>((<a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> *)<a class="code" href="arm__signal__converge__data_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">FIRCoeff_f32</a>, <a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>);</div>
+<div class="line"></div>
+<div class="line">  <a class="code" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02" title="Floating-point vector absolute value.">arm_abs_f32</a>(<a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>);</div>
+<div class="line">  <a class="code" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a" title="Minimum value of a floating-point vector.">arm_min_f32</a>(<a class="code" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">lmsNormCoeff_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">NUMTAPS</a>, &amp;minValue, &amp;index);</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span> (minValue &gt; <a name="a37"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a9156349d99957ded15d8aa3aa11723de">DELTA_COEFF</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">  * Loop here if the signals did not pass the convergence check.</span></div>
+<div class="line"><span class="comment">  * This denotes a test failure</span></div>
+<div class="line"><span class="comment">  * ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/arm_sin_cos_example_f32_8c-example.html b/Documentation/DSP/html/arm_sin_cos_example_f32_8c-example.html
new file mode 100644
index 0000000..b66f077
--- /dev/null
+++ b/Documentation/DSP/html/arm_sin_cos_example_f32_8c-example.html
@@ -0,0 +1,245 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-DSP: arm_sin_cos_example_f32.c</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<div class="title">arm_sin_cos_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         12. March 2014</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_sin_cos_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating sin and cos calculation of input signal.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment">* -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Defines each of the tests performed</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="preprocessor">#define MAX_BLOCKSIZE   32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA           (0.0001f)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data for Floating point sin_cos example for 32-blockSize</span></div>
+<div class="line"><span class="comment">* Generated by the MATLAB randn() function</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>] =</div>
+<div class="line">{</div>
+<div class="line">  -1.244916875853235400,  -4.793533929171324800,   0.360705030233248850,   0.827929644170887320,  -3.299532218312426900,   3.427441903227623800,   3.422401784294607700,  -0.108308165334010680,</div>
+<div class="line">   0.941943896490312180,   0.502609575000365850,  -0.537345278736373500,   2.088817392965764500,  -1.693168684143455700,   6.283185307179590700,  -0.392545884746175080,   0.327893095115825040,</div>
+<div class="line">   3.070147440456292300,   0.170611405884662230,  -0.275275082396073010,  -2.395492805446796300,   0.847311163536506600,  -3.845517018083148800,   2.055818378415868300,   4.672594161978930800,</div>
+<div class="line">  -1.990923030266425800,   2.469305197656249500,   3.609002606064021000,  -4.586736582331667500,  -4.147080139136136300,   1.643756718868359500,  -1.150866392366494800,   1.985805026477433800</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="keyword">const</span> <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a> = 1.000000000;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare Global variables</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line">uint32_t <a name="a3"></a><a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a> = 32;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a4"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a5"></a><a class="code" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">cosOutput</a>;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a6"></a><a class="code" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">sinOutput</a>;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a7"></a><a class="code" href="arm__sin__cos__example__f32_8c.html#a2cb185794dcb587d158f346ab049cc4e">cosSquareOutput</a>;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a8"></a><a class="code" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">sinSquareOutput</a>;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Max magnitude FFT Bin test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a9"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a10"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> diff;</div>
+<div class="line">  uint32_t i;</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">for</span>(i=0; i&lt; <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>; i++)</div>
+<div class="line">  {</div>
+<div class="line">    <a class="code" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">cosOutput</a> = <a name="a11"></a><a class="code" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8" title="Fast approximation to the trigonometric cosine function for floating-point data.">arm_cos_f32</a>(<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[i]);</div>
+<div class="line">    <a class="code" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">sinOutput</a> = <a name="a12"></a><a class="code" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541" title="Fast approximation to the trigonometric sine function for floating-point data.">arm_sin_f32</a>(<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[i]);</div>
+<div class="line"></div>
+<div class="line">    <a name="a13"></a><a class="code" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32</a>(&amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">cosOutput</a>, &amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">cosOutput</a>, &amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a2cb185794dcb587d158f346ab049cc4e">cosSquareOutput</a>, 1);</div>
+<div class="line">    <a class="code" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32</a>(&amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">sinOutput</a>, &amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">sinOutput</a>, &amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">sinSquareOutput</a>, 1);</div>
+<div class="line"></div>
+<div class="line">    <a name="a14"></a><a class="code" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd" title="Floating-point vector addition.">arm_add_f32</a>(&amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#a2cb185794dcb587d158f346ab049cc4e">cosSquareOutput</a>, &amp;<a class="code" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">sinSquareOutput</a>, &amp;<a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>, 1);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* absolute value of difference between ref and test */</span></div>
+<div class="line">    diff = fabsf(<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">testRefOutput_f32</a> - <a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">testOutput</a>);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* Comparison of sin_cos value with reference */</span></div>
+<div class="line">    <span class="keywordflow">if</span>(diff &gt; <a name="a15"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>)</div>
+<div class="line">    {</div>
+<div class="line">       <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a> = <a name="a16"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">    }</div>
+<div class="line"></div>
+<div class="line">    <span class="keywordflow">if</span>( <a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a> == <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>)</div>
+<div class="line">    {</div>
+<div class="line">       <span class="keywordflow">while</span>(1);</div>
+<div class="line">    }</div>
+<div class="line"></div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="headertitle">
+<div class="title">arm_variance_example_f32.c</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Copyright (C) 2010-2012 ARM Limited. All rights reserved.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* $Date:         17. January 2013</span></div>
+<div class="line"><span class="comment">* $Revision:     V1.4.0</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Project:       CMSIS DSP Library</span></div>
+<div class="line"><span class="comment">* Title:         arm_variance_example_f32.c</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Description:   Example code demonstrating variance calculation of input sequence.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Target Processor: Cortex-M4/Cortex-M3</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment">* modification, are permitted provided that the following conditions</span></div>
+<div class="line"><span class="comment">* are met:</span></div>
+<div class="line"><span class="comment">*   - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment">*   - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment">*     notice, this list of conditions and the following disclaimer in</span></div>
+<div class="line"><span class="comment">*     the documentation and/or other materials provided with the</span></div>
+<div class="line"><span class="comment">*     distribution.</span></div>
+<div class="line"><span class="comment">*   - Neither the name of ARM LIMITED nor the names of its contributors</span></div>
+<div class="line"><span class="comment">*     may be used to endorse or promote products derived from this</span></div>
+<div class="line"><span class="comment">*     software without specific prior written permission.</span></div>
+<div class="line"><span class="comment">*</span></div>
+<div class="line"><span class="comment">* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS</span></div>
+<div class="line"><span class="comment">* &quot;AS IS&quot; AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT</span></div>
+<div class="line"><span class="comment">* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS</span></div>
+<div class="line"><span class="comment">* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE</span></div>
+<div class="line"><span class="comment">* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
+<div class="line"><span class="comment">* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div>
+<div class="line"><span class="comment">* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div>
+<div class="line"><span class="comment">* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER</span></div>
+<div class="line"><span class="comment">* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT</span></div>
+<div class="line"><span class="comment">* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
+<div class="line"><span class="comment">* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment">* POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment">* -------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><span class="preprocessor">#include &quot;<a class="code" href="arm__math_8h.html">arm_math.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Defines each of the tests performed</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><span class="preprocessor">#define MAX_BLOCKSIZE   32</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define DELTA           (0.000001f)</span></div>
+<div class="line"><span class="preprocessor"></span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare I/O buffers</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a0"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>[<a name="a1"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a2"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a3"></a><a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>[<a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">MAX_BLOCKSIZE</a>];</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Test input data for Floating point Variance example for 32-blockSize</span></div>
+<div class="line"><span class="comment">* Generated by the MATLAB randn() function</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a4"></a><a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>[32] =</div>
+<div class="line">{</div>
+<div class="line">  -0.432564811528221,  -1.665584378238097,   0.125332306474831,   0.287676420358549,</div>
+<div class="line">  -1.146471350681464,   1.190915465642999,   1.189164201652103,  -0.037633276593318,</div>
+<div class="line">   0.327292361408654,   0.174639142820925,  -0.186708577681439,   0.725790548293303,</div>
+<div class="line">  -0.588316543014189,   2.183185818197101,  -0.136395883086596,   0.113931313520810,</div>
+<div class="line">   1.066768211359189,   0.059281460523605,  -0.095648405483669,  -0.832349463650022,</div>
+<div class="line">   0.294410816392640,  -1.336181857937804,   0.714324551818952,   1.623562064446271,</div>
+<div class="line">  -0.691775701702287,   0.857996672828263,   1.254001421602532,  -1.593729576447477,</div>
+<div class="line">  -1.440964431901020,   0.571147623658178,  -0.399885577715363,   0.689997375464345</div>
+<div class="line"></div>
+<div class="line">};</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Declare Global variables</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line">uint32_t <a name="a5"></a><a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a> = 32;</div>
+<div class="line"><a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a>  <a name="a6"></a><a class="code" href="arm__variance__example__f32_8c.html#a26cbbfe2a7905669e8440159465050df">refVarianceOut</a> = 0.903941793931839;</div>
+<div class="line"></div>
+<div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment">* Variance calculation test</span></div>
+<div class="line"><span class="comment">* ------------------------------------------------------------------- */</span></div>
+<div class="line"></div>
+<div class="line">int32_t <a name="a7"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main</a>(<span class="keywordtype">void</span>)</div>
+<div class="line">{</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6" title="Error status returned by some functions in the library.">arm_status</a> <a name="a8"></a><a class="code" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> <a name="a9"></a><a class="code" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, oneByBlockSize;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> variance;</div>
+<div class="line">  <a class="code" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715" title="32-bit floating-point type definition.">float32_t</a> diff;</div>
+<div class="line"></div>
+<div class="line">  status = <a name="a10"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>;</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculation of mean value of input */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* x&#39; = 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Fill wire1 buffer with 1.0 value */</span></div>
+<div class="line">  <a name="a11"></a><a class="code" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32</a>(1.0,  <a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculate the dot product of wire1 and wire2 */</span></div>
+<div class="line">  <span class="comment">/* (x(0)* 1 + x(1) * 1 + ...+ x(n-1) * 1) */</span></div>
+<div class="line">  <a name="a12"></a><a class="code" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3" title="Dot product of floating-point vectors.">arm_dot_prod_f32</a>(<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a16e759789fbc05f878863f009066c8ea">wire1</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, &amp;mean);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculation of 1/blockSize */</span></div>
+<div class="line">  oneByBlockSize = 1.0 / (<a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1)  */</span></div>
+<div class="line">  <a name="a13"></a><a class="code" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32</a>(&amp;mean, &amp;oneByBlockSize, &amp;mean, 1);</div>
+<div class="line"></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculation of variance value of input */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* (1/blockSize) * (x(0) - x&#39;) * (x(0) - x&#39;) + (x(1) - x&#39;) * (x(1) - x&#39;) + ... + (x(n-1) - x&#39;) * (x(n-1) - x&#39;) */</span></div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Fill wire2 with mean value x&#39; */</span></div>
+<div class="line">  <a class="code" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32</a>(mean,  <a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* wire3 contains (x-x&#39;) */</span></div>
+<div class="line">  <a name="a14"></a><a class="code" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826" title="Floating-point vector subtraction.">arm_sub_f32</a>(<a class="code" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">testInput_f32</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* wire2 contains (x-x&#39;) */</span></div>
+<div class="line">  <a name="a15"></a><a class="code" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32</a>(<a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* (x(0) - x&#39;) * (x(0) - x&#39;) + (x(1) - x&#39;) * (x(1) - x&#39;) + ... + (x(n-1) - x&#39;) * (x(n-1) - x&#39;) */</span></div>
+<div class="line">  <a class="code" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3" title="Dot product of floating-point vectors.">arm_dot_prod_f32</a>(<a class="code" href="arm__signal__converge__example__f32_8c.html#a4e370163c81ae2b72cc655a6b79e4c6a">wire2</a>, <a class="code" href="arm__signal__converge__example__f32_8c.html#a7e2cceadf6ec7f0aa0f698a680fa3a4b">wire3</a>, <a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, &amp;variance);</div>
+<div class="line"></div>
+<div class="line">    <span class="comment">/* Calculation of 1/blockSize */</span></div>
+<div class="line">  oneByBlockSize = 1.0 / (<a class="code" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a> - 1);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Calculation of variance */</span></div>
+<div class="line">  <a class="code" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32</a>(&amp;variance, &amp;oneByBlockSize, &amp;variance, 1);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* absolute value of difference between ref and test */</span></div>
+<div class="line">  diff = fabsf(<a class="code" href="arm__variance__example__f32_8c.html#a26cbbfe2a7905669e8440159465050df">refVarianceOut</a> - variance);</div>
+<div class="line"></div>
+<div class="line">  <span class="comment">/* Comparison of variance value with reference */</span></div>
+<div class="line">  <span class="keywordflow">if</span>(diff &gt; <a name="a16"></a><a class="code" href="_a_r_m_2arm__convolution__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">DELTA</a>)</div>
+<div class="line">  {</div>
+<div class="line">    status = <a name="a17"></a><a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a09457f2be656b35015fd6d36202fa376">ARM_MATH_TEST_FAILURE</a>;</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">if</span>( status != <a class="code" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>)</div>
+<div class="line">  {</div>
+<div class="line">    <span class="keywordflow">while</span>(1);</div>
+<div class="line">  }</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span>(1);                             <span class="comment">/* main function does not return */</span></div>
+<div class="line">}</div>
+<div class="line"></div>
+</div><!-- fragment --> </div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:30 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+	font-size: 150%;
+	font-weight: bold;
+	margin: 10px 2px;
+}
+
+h2 {
+	font-size: 120%;
+}
+
+h3 {
+	font-size: 100%;
+}
+
+h1, h2, h3, h4, h5, h6 {
+	-webkit-transition: text-shadow 0.5s linear;
+	-moz-transition: text-shadow 0.5s linear;
+	-ms-transition: text-shadow 0.5s linear;
+	-o-transition: text-shadow 0.5s linear;
+	transition: text-shadow 0.5s linear;
+	margin-right: 15px;
+}
+
+h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow {
+	text-shadow: 0 0 15px cyan;
+}
+
+dt {
+	font-weight: bold;
+}
+
+div.multicol {
+	-moz-column-gap: 1em;
+	-webkit-column-gap: 1em;
+	-moz-column-count: 3;
+	-webkit-column-count: 3;
+}
+
+p.startli, p.startdd, p.starttd {
+	margin-top: 2px;
+}
+
+p.endli {
+	margin-bottom: 0px;
+}
+
+p.enddd {
+	margin-bottom: 4px;
+}
+
+p.endtd {
+	margin-bottom: 2px;
+}
+
+/* @end */
+
+caption {
+	font-weight: bold;
+}
+
+span.legend {
+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3A568E;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4464A5;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9AAED5;
+	color: #ffffff;
+	border: 1px double #849CCC;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C3CFE6;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+}
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C3CFE6;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C3CFE6;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EDF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9AAED5;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A2B4D8;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4769AD;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memItemLeft, .memItemRight, .memTemplParams {
+	border-top: 1px solid #C3CFE6;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4464A5;
+        white-space: nowrap;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4464A5;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A7B8DA;
+        border-left: 1px solid #A7B8DA;
+        border-right: 1px solid #A7B8DA;
+        padding: 6px 0px 6px 0px;
+        color: #233456;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A7B8DA;      
+        border-left: 1px solid #A7B8DA;      
+        border-right: 1px solid #A7B8DA; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #708CC4;
+        border-top:1px solid #5072B7;
+        border-left:1px solid #5072B7;
+        border-right:1px solid #C3CFE6;
+        border-bottom:1px solid #C3CFE6;
+	text-shadow: none;
+        color: white;
+        margin-right: 4px;
+        padding: 2px 3px;
+        border-radius: 3px;
+        font-size: 7pt;
+	white-space: nowrap;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3A568E;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #293C63;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2B4069;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #EBEFF6;
+	color: #000000;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A7B8DA;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A7B8DA;
+        border-bottom: 1px solid #A7B8DA;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A7B8DA;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        font-size: 90%;
+        color: #233456;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A7B8DA;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	height:30px;
+	line-height:30px;
+	color:#889FCE;
+	border:solid 1px #C1CDE5;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#344D7E;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6583BF;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#344D7E;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	margin-left: 5px;
+	font-size: 8pt;
+	padding-left: 5px;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C3CFE6;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 7px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
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diff --git a/Documentation/DSP/html/dct4FormatsQ15Table.gif b/Documentation/DSP/html/dct4FormatsQ15Table.gif
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Deprecated List</title>
+<title>CMSIS-DSP: Deprecated List</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+		//-->
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+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('deprecated.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Deprecated List </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><dl class="reflist">
+<dt><a class="anchor" id="_deprecated000001"></a>Global <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32</a>  (const <a class="el" href="structarm__cfft__radix2__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix2_instance_f32</a> *S, float32_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future.  </dd>
+<dt><a class="anchor" id="_deprecated000002"></a>Global <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32</a>  (<a class="el" href="structarm__cfft__radix2__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix2_instance_f32</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future.  </dd>
+<dt><a class="anchor" id="_deprecated000003"></a>Global <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15</a>  (<a class="el" href="structarm__cfft__radix2__instance__q15.html" title="Instance structure for the Q15 CFFT/CIFFT function.">arm_cfft_radix2_instance_q15</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000004"></a>Global <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31</a>  (<a class="el" href="structarm__cfft__radix2__instance__q31.html" title="Instance structure for the Radix-2 Q31 CFFT/CIFFT function.">arm_cfft_radix2_instance_q31</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000005"></a>Global <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15</a>  (const <a class="el" href="structarm__cfft__radix2__instance__q15.html" title="Instance structure for the Q15 CFFT/CIFFT function.">arm_cfft_radix2_instance_q15</a> *S, q15_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000006"></a>Global <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31</a>  (const <a class="el" href="structarm__cfft__radix2__instance__q31.html" title="Instance structure for the Radix-2 Q31 CFFT/CIFFT function.">arm_cfft_radix2_instance_q31</a> *S, q31_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000007"></a>Global <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32</a>  (const <a class="el" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a> *S, float32_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future.  </dd>
+<dt><a class="anchor" id="_deprecated000008"></a>Global <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32</a>  (<a class="el" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superceded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future.  </dd>
+<dt><a class="anchor" id="_deprecated000009"></a>Global <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15</a>  (<a class="el" href="structarm__cfft__radix4__instance__q15.html" title="Instance structure for the Q15 CFFT/CIFFT function.">arm_cfft_radix4_instance_q15</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000010"></a>Global <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31</a>  (<a class="el" href="structarm__cfft__radix4__instance__q31.html" title="Instance structure for the Q31 CFFT/CIFFT function.">arm_cfft_radix4_instance_q31</a> *S, uint16_t fftLen, uint8_t ifftFlag, uint8_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000011"></a>Global <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15</a>  (const <a class="el" href="structarm__cfft__radix4__instance__q15.html" title="Instance structure for the Q15 CFFT/CIFFT function.">arm_cfft_radix4_instance_q15</a> *S, q15_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000012"></a>Global <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31</a>  (const <a class="el" href="structarm__cfft__radix4__instance__q31.html" title="Instance structure for the Q31 CFFT/CIFFT function.">arm_cfft_radix4_instance_q31</a> *S, q31_t *pSrc)</dt>
+<dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed  </dd>
+<dt><a class="anchor" id="_deprecated000013"></a>Global <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32</a>  (const <a class="el" href="structarm__rfft__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function.">arm_rfft_instance_f32</a> *S, float32_t *pSrc, float32_t *pDst)</dt>
+<dd>Do not use this function. It has been superceded by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> and will be removed in the future.  </dd>
+<dt><a class="anchor" id="_deprecated000014"></a>Global <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32</a>  (<a class="el" href="structarm__rfft__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function.">arm_rfft_instance_f32</a> *S, <a class="el" href="structarm__cfft__radix4__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_radix4_instance_f32</a> *S_CFFT, uint32_t fftLenReal, uint32_t ifftFlagR, uint32_t bitReverseFlag)</dt>
+<dd>Do not use this function. It has been superceded by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32</a> and will be removed in the future. </dd>
+</dl>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:32 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/dir_05485b5eab41976e219ba5522ae8a40f.html b/Documentation/DSP/html/dir_05485b5eab41976e219ba5522ae8a40f.html
new file mode 100644
index 0000000..53b4dc8
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+++ b/Documentation/DSP/html/dir_05485b5eab41976e219ba5522ae8a40f.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>ARM Directory Reference</title>
+<title>CMSIS-DSP: ARM Directory Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3D578C;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4665A2;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9CAFD4;
+	color: #ffffff;
+	border: 1px double #869DCA;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C4CFE5;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	min-height: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+div.line.glow {
+	background-color: cyan;
+	box-shadow: 0 0 10px cyan;
+}
+
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C4CFE5;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C4CFE5;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EEF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9CAFD4;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4A6AAA;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td, .fieldtable tr {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow, .fieldtable tr.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memSeparator {
+        border-bottom: 1px solid #DEE4F0;
+        line-height: 1px;
+        margin: 0px;
+        padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4665A2;
+        white-space: nowrap;
+	font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4665A2;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+        display: table !important;
+        width: 100%;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A8B8D9;
+        border-left: 1px solid #A8B8D9;
+        border-right: 1px solid #A8B8D9;
+        padding: 6px 0px 6px 0px;
+        color: #253555;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A8B8D9;      
+        border-left: 1px solid #A8B8D9;      
+        border-right: 1px solid #A8B8D9; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+.paramname code {
+        line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #728DC1;
+        border-top:1px solid #5373B4;
+        border-left:1px solid #5373B4;
+        border-right:1px solid #C4CFE5;
+        border-bottom:1px solid #C4CFE5;
+	text-shadow: none;
+	color: white;
+	margin-right: 4px;
+	padding: 2px 3px;
+	border-radius: 3px;
+	font-size: 7pt;
+	white-space: nowrap;
+	vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.entry a img {
+        border: none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	padding-top: 3px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3D578C;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #2A3D61;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #374F7F;
+	color: #FFFFFF;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A8B8D9;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        font-size: 90%;
+        color: #253555;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A8B8D9;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	background-position: 0 -5px;
+	height:30px;
+	line-height:30px;
+	color:#8AA0CC;
+	border:solid 1px #C2CDE4;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#364D7C;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+	color: #283A5D;
+	font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+	text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+	text-decoration: none;        
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6884BD;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#364D7C;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	font-size: 8pt;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C4CFE5;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 10px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
+dl.section dd {
+	margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+	text-align: center;
+	vertical-align: bottom;
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<div class="textblock">Here is a list of all examples:</div><ul>
+<li><a class="el" href="arm_class_marks_example_f32_8c-example.html">arm_class_marks_example_f32.c</a></li>
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+</ul>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>File List</title>
+<title>CMSIS-DSP: File List</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<script type="text/javascript" src="search/search.js"></script>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a6b010e5f02d1130c621e3d2e26b95df1">arm_cfft_radix4_instance_q15</a>
+</li>
+<li>bitRevLength
+: <a class="el" href="structarm__cfft__instance__q31.html#a2250fa6b8fe73292c5418c50c0549f87">arm_cfft_instance_q31</a>
+, <a class="el" href="structarm__cfft__instance__q15.html#a738907cf34bdbbaf724414ac2decbc3c">arm_cfft_instance_q15</a>
+, <a class="el" href="structarm__cfft__instance__f32.html#a3ba329ed153d182746376208e773d648">arm_cfft_instance_f32</a>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
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+               onmouseover="return searchBox.OnSearchSelectShow()"
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+      <li><a href="functions.html#index_a"><span>a</span></a></li>
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+      <li class="current"><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_0x65.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+        name="MSearchResults" id="MSearchResults">
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+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>energy
+: <a class="el" href="structarm__lms__norm__instance__f32.html#a6a4119e4f39447bbee31b066deafa16f">arm_lms_norm_instance_f32</a>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li class="current"><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
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+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
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+      <li><a href="functions_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_0x66.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>fftLen
+: <a class="el" href="structarm__cfft__radix2__instance__q15.html#a874085647351dcf3f0de39d2b1d49744">arm_cfft_radix2_instance_q15</a>
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+, <a class="el" href="structarm__cfft__instance__q31.html#a4406f23e8fd0bff8d555225612e2a2a8">arm_cfft_instance_q31</a>
+, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32</a>
+, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a2f915a1c29635c1623086aaaa726be8f">arm_cfft_radix2_instance_f32</a>
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+, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a">arm_cfft_radix4_instance_f32</a>
+, <a class="el" href="structarm__cfft__instance__q15.html#a5f9e1d3a8c127ee323b5e6929aeb90df">arm_cfft_instance_q15</a>
+</li>
+<li>fftLenBy2
+: <a class="el" href="structarm__rfft__instance__f32.html#a075076e07ebb8521d8e3b49a31db6c57">arm_rfft_instance_f32</a>
+</li>
+<li>fftLenReal
+: <a class="el" href="structarm__rfft__instance__q15.html#aac5cf9e825917cbb14f439e56bb86ab3">arm_rfft_instance_q15</a>
+, <a class="el" href="structarm__rfft__instance__q31.html#af777b0cadd5abaf064323692c2e6693b">arm_rfft_instance_q31</a>
+, <a class="el" href="structarm__rfft__instance__f32.html#a4219d4669699e4efdcb150ed7a0d9a57">arm_rfft_instance_f32</a>
+</li>
+<li>fftLenRFFT
+: <a class="el" href="structarm__rfft__fast__instance__f32.html#aef06ab665041ec36f5b25d464f0cab14">arm_rfft_fast_instance_f32</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
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+</div>
+<script type="text/javascript">
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+<div class="contents">
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+, <a class="el" href="structarm__pid__instance__q15.html#ad228aae24a1b6d855c93a8b9bbc1c4f1">arm_pid_instance_q15</a>
+, <a class="el" href="structarm__pid__instance__q31.html#ac2410bf7f856d58dc1d773d4983cac8e">arm_pid_instance_q31</a>
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+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Data Fields</title>
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+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Data Fields</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="functions_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_0x6e.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>N
+: <a class="el" href="structarm__dct4__instance__f32.html#a262b29a51c371b46efc89120e31ccf37">arm_dct4_instance_f32</a>
+, <a class="el" href="structarm__dct4__instance__q31.html#a46a9f136457350676e2bfd3768ff9d6d">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25">arm_dct4_instance_q15</a>
+</li>
+<li>Nby2
+: <a class="el" href="structarm__dct4__instance__f32.html#adb1ef2739ddbe62e5cdadc47455a4147">arm_dct4_instance_f32</a>
+, <a class="el" href="structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da">arm_dct4_instance_q15</a>
+</li>
+<li>normalize
+: <a class="el" href="structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#a197098140d68e89a08f7a249003a0b86">arm_dct4_instance_q15</a>
+, <a class="el" href="structarm__dct4__instance__f32.html#a61ce8c967b2e998a9c0041cca73cdef8">arm_dct4_instance_f32</a>
+</li>
+<li>numCols
+: <a class="el" href="structarm__bilinear__interp__instance__q15.html#a7fa8772d01583374ff8ac18205a26a37">arm_bilinear_interp_instance_q15</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q7.html#a860dd0d24380ea06cfbb348fb3b12c9a">arm_bilinear_interp_instance_q7</a>
+, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32</a>
+, <a class="el" href="structarm__matrix__instance__f64.html#ab0f0399aff3201880e2d8a447de9a7ee">arm_matrix_instance_f64</a>
+, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15</a>
+, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__f32.html#aede17bebfb1f835b61d71dd813eab3f8">arm_bilinear_interp_instance_f32</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a6c3eff4eb17ff1d43f170efb84713a2d">arm_bilinear_interp_instance_q31</a>
+</li>
+<li>numRows
+: <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32</a>
+, <a class="el" href="structarm__matrix__instance__f64.html#a8b44d1e5003345047c4ead9e1593bf22">arm_matrix_instance_f64</a>
+, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15</a>
+, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__f32.html#a34f2b17cc57b95011960df9718af6ed6">arm_bilinear_interp_instance_f32</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a2082e3eac56354d75291f03e96ce4aa5">arm_bilinear_interp_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q15.html#a2130ae30a804995a9f5d0e2189e08565">arm_bilinear_interp_instance_q15</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q7.html#ad5a8067cab5f9ea4688b11a623e16607">arm_bilinear_interp_instance_q7</a>
+</li>
+<li>numStages
+: <a class="el" href="structarm__fir__lattice__instance__f32.html#ad369bd9997a250f195254df37408a38f">arm_fir_lattice_instance_f32</a>
+, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a5655328252da5c2c2425ceed253bc4f1">arm_biquad_cascade_stereo_df2T_instance_f32</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ad55380ff835b533aa5168f836db8a4de">arm_biquad_cascade_df2T_instance_f64</a>
+, <a class="el" href="structarm__fir__lattice__instance__q15.html#a38b179138d6a6c9cac4f8f79b6fd5357">arm_fir_lattice_instance_q15</a>
+, <a class="el" href="structarm__fir__lattice__instance__q31.html#a9f3773bbb76bc5a8a5ee9d37786bf478">arm_fir_lattice_instance_q31</a>
+, <a class="el" href="structarm__iir__lattice__instance__q15.html#a96fbed313bef01070409fa182d26ba3f">arm_iir_lattice_instance_q15</a>
+, <a class="el" href="structarm__iir__lattice__instance__q31.html#a9df4570ed28c50fd9193ab654ff236ad">arm_iir_lattice_instance_q31</a>
+, <a class="el" href="structarm__iir__lattice__instance__f32.html#af8de449af5efe1f30be82f9ba35587ee">arm_iir_lattice_instance_f32</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">arm_biquad_casd_df1_inst_q15</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">arm_biquad_casd_df1_inst_q31</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af69820c37a87252c46453e4cfe120585">arm_biquad_casd_df1_inst_f32</a>
+, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#ad7cb9a9f5df8f4fcfc7a0b633672e574">arm_biquad_cas_df1_32x64_ins_q31</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a4d17958c33c3d0a905f974bac50f033f">arm_biquad_cascade_df2T_instance_f32</a>
+</li>
+<li>numTaps
+: <a class="el" href="structarm__fir__sparse__instance__f32.html#a5e19e7f234ac30a3db843352bf2a8515">arm_fir_sparse_instance_f32</a>
+, <a class="el" href="structarm__fir__instance__f32.html#a20cf98c92b5323799b7881c9ff4d2f7c">arm_fir_instance_f32</a>
+, <a class="el" href="structarm__fir__decimate__instance__q31.html#a37915d42b0dc5e3057ebe83110798482">arm_fir_decimate_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__f32.html#ac95f8ca3d816524c2070643852fac5e8">arm_lms_norm_instance_f32</a>
+, <a class="el" href="structarm__lms__instance__q15.html#a0078e894f805af1b360369e619fb57b3">arm_lms_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__q31.html#ac0d84f7d054555931ef8a62511fbcb8a">arm_lms_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#a28e4c085af69c9c3e2e95dacf8004c3e">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">arm_fir_instance_q31</a>
+, <a class="el" href="structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03">arm_fir_decimate_instance_f32</a>
+, <a class="el" href="structarm__fir__instance__q7.html#a9b50840e2c5ef5b17e1a584fb4cf0d06">arm_fir_instance_q7</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#a9ee7a45f4f315d7996a969e25fdc7146">arm_lms_norm_instance_q15</a>
+, <a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">arm_fir_decimate_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__f32.html#af73880d9009982f5d14529869494ec3d">arm_lms_instance_f32</a>
+, <a class="el" href="structarm__fir__sparse__instance__q7.html#a54cdd27ca1c672b126c38763ce678b1c">arm_fir_sparse_instance_q7</a>
+, <a class="el" href="structarm__fir__sparse__instance__q31.html#a07b6c01e58ec6dde384719130d36b0dc">arm_fir_sparse_instance_q31</a>
+, <a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">arm_fir_instance_q15</a>
+, <a class="el" href="structarm__fir__sparse__instance__q15.html#a0f66b126dd8b85f7467cfb01b7bc4d77">arm_fir_sparse_instance_q15</a>
+</li>
+<li>nValues
+: <a class="el" href="structarm__linear__interp__instance__f32.html#a95f02a926b16d35359aca5b31e813b11">arm_linear_interp_instance_f32</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/functions_0x6f.html b/Documentation/DSP/html/functions_0x6f.html
new file mode 100644
index 0000000..5aebb1b
--- /dev/null
+++ b/Documentation/DSP/html/functions_0x6f.html
@@ -0,0 +1,163 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_0x6e.html#index_n"><span>n</span></a></li>
+      <li class="current"><a href="functions_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_0x6f.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>onebyfftLen
+: <a class="el" href="structarm__cfft__radix2__instance__f32.html#a1d3d289d47443e597d88a40effd14b8f">arm_cfft_radix2_instance_f32</a>
+, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd">arm_cfft_radix4_instance_f32</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/functions_0x70.html b/Documentation/DSP/html/functions_0x70.html
new file mode 100644
index 0000000..c65f53d
--- /dev/null
+++ b/Documentation/DSP/html/functions_0x70.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
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+               onmouseout="return searchBox.OnSearchSelectHide()"
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+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_0x6f.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="functions_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_0x70.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>pBitRevTable
+: <a class="el" href="structarm__cfft__radix2__instance__q15.html#ab88afeff6493be3c8b5e4530efa82d51">arm_cfft_radix2_instance_q15</a>
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+</li>
+<li>pCfft
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+, <a class="el" href="structarm__rfft__instance__q31.html#a8fe10d425b59e096c23aa4bb5caa1974">arm_rfft_instance_q31</a>
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+, <a class="el" href="structarm__dct4__instance__q15.html#a7284932ee8c36107c33815eb62eadffc">arm_dct4_instance_q15</a>
+</li>
+<li>pCoeffs
+: <a class="el" href="structarm__fir__instance__q7.html#a0e45aedefc3fffad6cb315c5b6e5bd49">arm_fir_instance_q7</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ae2f0180f9038c0393e1d6921bb3b878b">arm_biquad_cascade_df2T_instance_f64</a>
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+, <a class="el" href="structarm__fir__instance__q31.html#afaae4c884bdf11a4ec2f3b9bb2bb51d0">arm_fir_instance_q31</a>
+, <a class="el" href="structarm__lms__instance__f32.html#a4795c6f7d3f17cec15c2fd09f66edd1a">arm_lms_instance_f32</a>
+, <a class="el" href="structarm__lms__instance__q15.html#a42f95368b94898eb82608e1113d18cab">arm_lms_instance_q15</a>
+, <a class="el" href="structarm__fir__instance__f32.html#a1c9cfca901d5902afeb640f2831488f4">arm_fir_instance_f32</a>
+, <a class="el" href="structarm__lms__instance__q31.html#a4afe56e991a5416adfd462aa88bda500">arm_lms_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__f32.html#a1ba688d90aba7de003ed4ad8e2e7ddda">arm_lms_norm_instance_f32</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a1edaacdebb5b09d7635bf20c779855fc">arm_biquad_casd_df1_inst_q15</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#a57a64c1ff102d033c1bd05043f1d9955">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#ae7bca648c75a2ffa02d87852bb78bc8a">arm_lms_norm_instance_q15</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2">arm_biquad_casd_df1_inst_q31</a>
+, <a class="el" href="structarm__fir__sparse__instance__f32.html#a04af7c738dfb0882ad102fcad501d94a">arm_fir_sparse_instance_f32</a>
+, <a class="el" href="structarm__fir__sparse__instance__q31.html#a093d6227f0d1597982cd083fb126f4e0">arm_fir_sparse_instance_q31</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af9df3820576fb921809d1462c9c6d16c">arm_biquad_casd_df1_inst_f32</a>
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+, <a class="el" href="structarm__fir__sparse__instance__q7.html#a3dac86f15e33553e8f3e19e0d712bae5">arm_fir_sparse_instance_q7</a>
+, <a class="el" href="structarm__fir__decimate__instance__q15.html#a01cacab67e73945e8289075598ede14d">arm_fir_decimate_instance_q15</a>
+, <a class="el" href="structarm__fir__decimate__instance__q31.html#a030d0391538c2481c5b348fd09a952ff">arm_fir_decimate_instance_q31</a>
+, <a class="el" href="structarm__fir__decimate__instance__f32.html#a268a8b0e80a3d9764baf33e4bc10dde2">arm_fir_decimate_instance_f32</a>
+, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a767d91d61d4c0beeddd4325d28d28e24">arm_fir_interpolate_instance_q15</a>
+, <a class="el" href="structarm__fir__interpolate__instance__q31.html#afa719433687e1936ec3403d0d32f06e6">arm_fir_interpolate_instance_q31</a>
+, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a86053b715980a93c9df630d6de5bb63c">arm_fir_interpolate_instance_f32</a>
+, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a490462d6ebe0fecfb6acbf51bed22ecf">arm_biquad_cas_df1_32x64_ins_q31</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a49a24fe1b6ad3b0b26779c32d8d80b2e">arm_biquad_cascade_df2T_instance_f32</a>
+, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a58b15644de62a632c5e9d4a563569dc6">arm_biquad_cascade_stereo_df2T_instance_f32</a>
+</li>
+<li>pCosFactor
+: <a class="el" href="structarm__dct4__instance__f32.html#a6da1187e070801e011ce5e0582efa861">arm_dct4_instance_f32</a>
+, <a class="el" href="structarm__dct4__instance__q31.html#af97204d1838925621fc82021a0c2d6c1">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#ac76df681b1bd502fb4874c06f055dded">arm_dct4_instance_q15</a>
+</li>
+<li>pData
+: <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32</a>
+, <a class="el" href="structarm__matrix__instance__f64.html#a5b2475f8ff1e4818955cdd18bc40a097">arm_matrix_instance_f64</a>
+, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15</a>
+, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__f32.html#afd1e764591c991c212d56c893efb5ea4">arm_bilinear_interp_instance_f32</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a843eae0c9db5f815e77e1aaf9afea358">arm_bilinear_interp_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q15.html#a50d75b1316cee3e0dfad6dcc4c9a2954">arm_bilinear_interp_instance_q15</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q7.html#af05194d691bbefb02c34bafb22ca9ef0">arm_bilinear_interp_instance_q7</a>
+</li>
+<li>phaseLength
+: <a class="el" href="structarm__fir__interpolate__instance__q15.html#ad5178a02a697a77e0d0e60705d9f0a19">arm_fir_interpolate_instance_q15</a>
+, <a class="el" href="structarm__fir__interpolate__instance__q31.html#a5d243796584afc7cd6c557f00b7acca5">arm_fir_interpolate_instance_q31</a>
+, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a389e669e13ec56292a70db8e92194b12">arm_fir_interpolate_instance_f32</a>
+</li>
+<li>pkCoeffs
+: <a class="el" href="structarm__iir__lattice__instance__q15.html#a41c214a1ec38d4a82fae8899d715dd29">arm_iir_lattice_instance_q15</a>
+, <a class="el" href="structarm__iir__lattice__instance__q31.html#a1d30aa16aac7722936ea9dee59211863">arm_iir_lattice_instance_q31</a>
+, <a class="el" href="structarm__iir__lattice__instance__f32.html#aa69fcdd3775e828d450ce1bbd978fa31">arm_iir_lattice_instance_f32</a>
+</li>
+<li>postShift
+: <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe">arm_biquad_casd_df1_inst_q31</a>
+, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a8e9d58e8dba5aa3b2fc4f36d2ed07996">arm_biquad_cas_df1_32x64_ins_q31</a>
+, <a class="el" href="structarm__lms__instance__q15.html#acca5fbaef4a52ae411de24c9a0b929cf">arm_lms_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__q31.html#a4705a8f0011bb9166e09bf5bd51e595e">arm_lms_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#a28d7b9e437817f83397e081967e90f3c">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#aa0d435fbcf7dedb7179d4467e9b79e9f">arm_lms_norm_instance_q15</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d">arm_biquad_casd_df1_inst_q15</a>
+</li>
+<li>pRfft
+: <a class="el" href="structarm__dct4__instance__q31.html#af1487dab5e7963b85dc0fdc6bf492542">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__f32.html#a978f37fc19add31af243ab5c63ae502f">arm_dct4_instance_f32</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#a11cf95c1cd9dd2dd5e4b81b8f88dc208">arm_dct4_instance_q15</a>
+</li>
+<li>pState
+: <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a24d223addfd926a7177088cf2efe76b1">arm_biquad_cascade_df2T_instance_f32</a>
+, <a class="el" href="structarm__fir__instance__q7.html#aaddea3b9c7e16ddfd9428b7bf9f9c200">arm_fir_instance_q7</a>
+, <a class="el" href="structarm__fir__instance__q15.html#aa8d25f44f45b6a6c4cf38c31569b8a01">arm_fir_instance_q15</a>
+, <a class="el" href="structarm__fir__instance__f32.html#a7afcf4022e8560db9b8fd28b0d090a15">arm_fir_instance_f32</a>
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+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+  </div>
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+<script type="text/javascript">
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+<div id="MSearchSelectWindow"
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+<!-- iframe showing the search results (closed by default) -->
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>Sint
+: <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32</a>
+</li>
+<li>state
+: <a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">arm_pid_instance_q15</a>
+, <a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">arm_pid_instance_f32</a>
+, <a class="el" href="structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4">arm_pid_instance_q31</a>
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+, <a class="el" href="structarm__fir__sparse__instance__q7.html#a2d2e65473fe3a3f2b953b4e0b60824df">arm_fir_sparse_instance_q7</a>
+, <a class="el" href="structarm__fir__sparse__instance__q31.html#a557ed9d477e76e4ad2019344f19f568a">arm_fir_sparse_instance_q31</a>
+, <a class="el" href="structarm__fir__sparse__instance__q15.html#a89487f28cab52637426024005e478985">arm_fir_sparse_instance_q15</a>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+</table>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
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+      <li><a href="functions_0x70.html#index_p"><span>p</span></a></li>
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+      <li><a href="functions_0x78.html#index_x"><span>x</span></a></li>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div>
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>twidCoefModifier
+: <a class="el" href="structarm__cfft__radix2__instance__q15.html#a6f2ab87fb4c568656e1f92f687b5c850">arm_cfft_radix2_instance_q15</a>
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+, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a411f75b6ed01690293f4f5988030ea42">arm_cfft_radix2_instance_f32</a>
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+, <a class="el" href="structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1">arm_cfft_radix2_instance_q31</a>
+</li>
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+: <a class="el" href="structarm__rfft__instance__f32.html#aede85350fb5ae6baa1b3e8bfa15b18d6">arm_rfft_instance_f32</a>
+, <a class="el" href="structarm__rfft__instance__q31.html#a6fc90252b579f7c29e01bd279334fc43">arm_rfft_instance_q31</a>
+, <a class="el" href="structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3">arm_rfft_instance_q15</a>
+</li>
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+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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--- /dev/null
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-DSP: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div id="navrow2" class="tabs2">
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_0x6d.html#index_m"><span>m</span></a></li>
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+<div id="doc-content">
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+	<!--
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+, <a class="el" href="structarm__pid__instance__f32.html#a7def89571c50f7137a213326a396e560">arm_pid_instance_f32</a>
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+: <a class="el" href="structarm__pid__instance__f32.html#a155acf642ba2f521869f19d694cd7fa0">arm_pid_instance_f32</a>
+, <a class="el" href="structarm__pid__instance__q31.html#a3e34537c53af4f9ad7bfffa4dff27c82">arm_pid_instance_q31</a>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+	</li>
+  </ul>
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+</html>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: Data Fields - Variables</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<script type="text/javascript">
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+ </tr>
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+</table>
+</div>
+<!-- end header part -->
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+    <ul class="tablist">
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+      <li><a href="functions_vars_0x65.html#index_e"><span>e</span></a></li>
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+      <li><a href="functions_vars_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_vars_0x6c.html#index_l"><span>l</span></a></li>
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+, <a class="el" href="structarm__pid__instance__f32.html#ad5b68fbf84d16188ae4747ff91f6f088">arm_pid_instance_f32</a>
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+, <a class="el" href="structarm__pid__instance__f32.html#ac0feffde05fe391eeab3bf78e953830a">arm_pid_instance_f32</a>
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+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
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+: <a class="el" href="structarm__fir__interpolate__instance__q15.html#a5431bdc079e72a973b51d359f7f13603">arm_fir_interpolate_instance_q15</a>
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+</ul>
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+, <a class="el" href="structarm__fir__decimate__instance__q31.html#ad3d6936c36303b30dd38f1eddf248ae5">arm_fir_decimate_instance_q31</a>
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+: <a class="el" href="structarm__lms__instance__q15.html#aae46129d7cfd7f1c162cc502ed0a9d49">arm_lms_instance_q15</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#ad3dd2a2406e02fdaa7782ba6c3940a64">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__f32.html#a84401d3cfc6c40f69c08223cf341b886">arm_lms_norm_instance_f32</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#a7ce00f21d11cfda6d963240641deea8c">arm_lms_norm_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__f32.html#ae2af43d74c93dba16b876e10c97a5b99">arm_lms_instance_f32</a>
+, <a class="el" href="structarm__lms__instance__q31.html#acb6ca9996b3c5f740d5d6c8e9f4f1d46">arm_lms_instance_q31</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
+</body>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+<!-- Generated by Doxygen 1.8.2 -->
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_vars.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_vars_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_vars_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_vars_0x6d.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="functions_vars_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_vars_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_vars_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_vars_0x78.html#index_x"><span>x</span></a></li>
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+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
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+<!-- window showing the filter options -->
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+</div>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>N
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+, <a class="el" href="structarm__dct4__instance__q31.html#a46a9f136457350676e2bfd3768ff9d6d">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25">arm_dct4_instance_q15</a>
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+<li>Nby2
+: <a class="el" href="structarm__dct4__instance__f32.html#adb1ef2739ddbe62e5cdadc47455a4147">arm_dct4_instance_f32</a>
+, <a class="el" href="structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da">arm_dct4_instance_q15</a>
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+<li>normalize
+: <a class="el" href="structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd">arm_dct4_instance_q31</a>
+, <a class="el" href="structarm__dct4__instance__q15.html#a197098140d68e89a08f7a249003a0b86">arm_dct4_instance_q15</a>
+, <a class="el" href="structarm__dct4__instance__f32.html#a61ce8c967b2e998a9c0041cca73cdef8">arm_dct4_instance_f32</a>
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+<li>numCols
+: <a class="el" href="structarm__bilinear__interp__instance__q15.html#a7fa8772d01583374ff8ac18205a26a37">arm_bilinear_interp_instance_q15</a>
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+, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32</a>
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+, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15</a>
+, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31</a>
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+, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a6c3eff4eb17ff1d43f170efb84713a2d">arm_bilinear_interp_instance_q31</a>
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+, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__f32.html#a34f2b17cc57b95011960df9718af6ed6">arm_bilinear_interp_instance_f32</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a2082e3eac56354d75291f03e96ce4aa5">arm_bilinear_interp_instance_q31</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q15.html#a2130ae30a804995a9f5d0e2189e08565">arm_bilinear_interp_instance_q15</a>
+, <a class="el" href="structarm__bilinear__interp__instance__q7.html#ad5a8067cab5f9ea4688b11a623e16607">arm_bilinear_interp_instance_q7</a>
+</li>
+<li>numStages
+: <a class="el" href="structarm__fir__lattice__instance__f32.html#ad369bd9997a250f195254df37408a38f">arm_fir_lattice_instance_f32</a>
+, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a5655328252da5c2c2425ceed253bc4f1">arm_biquad_cascade_stereo_df2T_instance_f32</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ad55380ff835b533aa5168f836db8a4de">arm_biquad_cascade_df2T_instance_f64</a>
+, <a class="el" href="structarm__fir__lattice__instance__q15.html#a38b179138d6a6c9cac4f8f79b6fd5357">arm_fir_lattice_instance_q15</a>
+, <a class="el" href="structarm__fir__lattice__instance__q31.html#a9f3773bbb76bc5a8a5ee9d37786bf478">arm_fir_lattice_instance_q31</a>
+, <a class="el" href="structarm__iir__lattice__instance__q15.html#a96fbed313bef01070409fa182d26ba3f">arm_iir_lattice_instance_q15</a>
+, <a class="el" href="structarm__iir__lattice__instance__q31.html#a9df4570ed28c50fd9193ab654ff236ad">arm_iir_lattice_instance_q31</a>
+, <a class="el" href="structarm__iir__lattice__instance__f32.html#af8de449af5efe1f30be82f9ba35587ee">arm_iir_lattice_instance_f32</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">arm_biquad_casd_df1_inst_q15</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">arm_biquad_casd_df1_inst_q31</a>
+, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af69820c37a87252c46453e4cfe120585">arm_biquad_casd_df1_inst_f32</a>
+, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#ad7cb9a9f5df8f4fcfc7a0b633672e574">arm_biquad_cas_df1_32x64_ins_q31</a>
+, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a4d17958c33c3d0a905f974bac50f033f">arm_biquad_cascade_df2T_instance_f32</a>
+</li>
+<li>numTaps
+: <a class="el" href="structarm__fir__sparse__instance__f32.html#a5e19e7f234ac30a3db843352bf2a8515">arm_fir_sparse_instance_f32</a>
+, <a class="el" href="structarm__fir__instance__f32.html#a20cf98c92b5323799b7881c9ff4d2f7c">arm_fir_instance_f32</a>
+, <a class="el" href="structarm__fir__decimate__instance__q31.html#a37915d42b0dc5e3057ebe83110798482">arm_fir_decimate_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__f32.html#ac95f8ca3d816524c2070643852fac5e8">arm_lms_norm_instance_f32</a>
+, <a class="el" href="structarm__lms__instance__q15.html#a0078e894f805af1b360369e619fb57b3">arm_lms_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__q31.html#ac0d84f7d054555931ef8a62511fbcb8a">arm_lms_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#a28e4c085af69c9c3e2e95dacf8004c3e">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">arm_fir_instance_q31</a>
+, <a class="el" href="structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03">arm_fir_decimate_instance_f32</a>
+, <a class="el" href="structarm__fir__instance__q7.html#a9b50840e2c5ef5b17e1a584fb4cf0d06">arm_fir_instance_q7</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#a9ee7a45f4f315d7996a969e25fdc7146">arm_lms_norm_instance_q15</a>
+, <a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">arm_fir_decimate_instance_q15</a>
+, <a class="el" href="structarm__lms__instance__f32.html#af73880d9009982f5d14529869494ec3d">arm_lms_instance_f32</a>
+, <a class="el" href="structarm__fir__sparse__instance__q7.html#a54cdd27ca1c672b126c38763ce678b1c">arm_fir_sparse_instance_q7</a>
+, <a class="el" href="structarm__fir__sparse__instance__q31.html#a07b6c01e58ec6dde384719130d36b0dc">arm_fir_sparse_instance_q31</a>
+, <a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">arm_fir_instance_q15</a>
+, <a class="el" href="structarm__fir__sparse__instance__q15.html#a0f66b126dd8b85f7467cfb01b7bc4d77">arm_fir_sparse_instance_q15</a>
+</li>
+<li>nValues
+: <a class="el" href="structarm__linear__interp__instance__f32.html#a95f02a926b16d35359aca5b31e813b11">arm_linear_interp_instance_f32</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+	</li>
+  </ul>
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+</div>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+&#160;
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>recipTable
+: <a class="el" href="structarm__lms__norm__instance__q31.html#a85836d0907077b9ac660f7bbbaa9d694">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#a9aabb0e4c79f3db807e7a441fa36f5f8">arm_lms_norm_instance_q15</a>
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="functions_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_vars_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_vars_0x6d.html#index_m"><span>m</span></a></li>
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+      <li><a href="functions_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li class="current"><a href="functions_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_vars_0x78.html#index_x"><span>x</span></a></li>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
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+
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+&#160;
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>Sint
+: <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32</a>
+</li>
+<li>state
+: <a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">arm_pid_instance_q15</a>
+, <a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">arm_pid_instance_f32</a>
+, <a class="el" href="structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4">arm_pid_instance_q31</a>
+</li>
+<li>stateIndex
+: <a class="el" href="structarm__fir__sparse__instance__f32.html#a57585aeca9dc8686e08df2865375a86d">arm_fir_sparse_instance_f32</a>
+, <a class="el" href="structarm__fir__sparse__instance__q7.html#a2d2e65473fe3a3f2b953b4e0b60824df">arm_fir_sparse_instance_q7</a>
+, <a class="el" href="structarm__fir__sparse__instance__q31.html#a557ed9d477e76e4ad2019344f19f568a">arm_fir_sparse_instance_q31</a>
+, <a class="el" href="structarm__fir__sparse__instance__q15.html#a89487f28cab52637426024005e478985">arm_fir_sparse_instance_q15</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+</html>
diff --git a/Documentation/DSP/html/functions_vars_0x74.html b/Documentation/DSP/html/functions_vars_0x74.html
new file mode 100644
index 0000000..20900cf
--- /dev/null
+++ b/Documentation/DSP/html/functions_vars_0x74.html
@@ -0,0 +1,172 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+ </tr>
+ </tbody>
+</table>
+</div>
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+<div id="CMSISnav" class="tabs1">
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+      <li><a href="functions_vars.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_vars_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_vars_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_vars_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_vars_0x6f.html#index_o"><span>o</span></a></li>
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+      <li><a href="functions_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li class="current"><a href="functions_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_vars_0x78.html#index_x"><span>x</span></a></li>
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+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>twidCoefModifier
+: <a class="el" href="structarm__cfft__radix2__instance__q15.html#a6f2ab87fb4c568656e1f92f687b5c850">arm_cfft_radix2_instance_q15</a>
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+, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a8cf8187b8232815cf17ee82bf572ecf9">arm_cfft_radix4_instance_q31</a>
+, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a411f75b6ed01690293f4f5988030ea42">arm_cfft_radix2_instance_f32</a>
+, <a class="el" href="structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee">arm_cfft_radix4_instance_f32</a>
+, <a class="el" href="structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1">arm_cfft_radix2_instance_q31</a>
+</li>
+<li>twidCoefRModifier
+: <a class="el" href="structarm__rfft__instance__f32.html#aede85350fb5ae6baa1b3e8bfa15b18d6">arm_rfft_instance_f32</a>
+, <a class="el" href="structarm__rfft__instance__q31.html#a6fc90252b579f7c29e01bd279334fc43">arm_rfft_instance_q31</a>
+, <a class="el" href="structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3">arm_rfft_instance_q15</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-DSP: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+    <ul class="tablist">
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+		<!--
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions_vars.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_vars_0x66.html#index_f"><span>f</span></a></li>
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+      <li><a href="functions_vars_0x6b.html#index_k"><span>k</span></a></li>
+      <li><a href="functions_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_vars_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_vars_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_vars_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_vars_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li class="current"><a href="functions_vars_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_vars_0x78.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_x"></a>- x -</h3><ul>
+<li>x0
+: <a class="el" href="structarm__lms__norm__instance__f32.html#aec958fe89b164a30f38bcca9f5d96218">arm_lms_norm_instance_f32</a>
+, <a class="el" href="structarm__lms__norm__instance__q31.html#a47c4466d644e0d8ba407995adfa9b917">arm_lms_norm_instance_q31</a>
+, <a class="el" href="structarm__lms__norm__instance__q15.html#a3fc1d6f97d2c6d5324871de6895cb7e9">arm_lms_norm_instance_q15</a>
+</li>
+<li>x1
+: <a class="el" href="structarm__linear__interp__instance__f32.html#a08352dc6ea82fbc0827408e018535481">arm_linear_interp_instance_f32</a>
+</li>
+<li>xSpacing
+: <a class="el" href="structarm__linear__interp__instance__f32.html#aa8e2d686b5434a406d390b347b183511">arm_linear_interp_instance_f32</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals.html b/Documentation/DSP/html/globals.html
new file mode 100644
index 0000000..7cc6748
--- /dev/null
+++ b/Documentation/DSP/html/globals.html
@@ -0,0 +1,357 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
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+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>__CMSIS_GENERIC
+: <a class="el" href="arm__math_8h.html#a87c3b351c33a90de11a2f23e67867a8a">arm_math.h</a>
+</li>
+<li>__HSI
+: <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">arm_class_marks_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">arm_class_marks_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#abbd628d8a30e6695b3715ae72a693e56">arm_class_marks_example/GCC/Startup/system_ARMCM4.c</a>
+, <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#abbd628d8a30e6695b3715ae72a693e56">arm_dotproduct_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
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+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#a8687edecd98881631a879bd10528c7da">arm_linear_interp_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
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+</li>
+<li>_SIMD32_OFFSET
+: <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: Globals</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li class="current"><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x61.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>A_f32
+: <a class="el" href="arm__matrix__example__f32_8c.html#aed27b92d9847194d9dcce40cecf2b48a">arm_matrix_example_f32.c</a>
+</li>
+<li>Ak
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aed74eacd4b96cc7f71b64d18f2e95705">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>ALIGN4
+: <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">arm_math.h</a>
+</li>
+<li>arm_abs_f32()
+: <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_abs_f32.c</a>
+, <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_math.h</a>
+</li>
+<li>arm_abs_q15()
+: <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_abs_q15.c</a>
+, <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_math.h</a>
+</li>
+<li>arm_abs_q31()
+: <a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_abs_q31.c</a>
+, <a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_math.h</a>
+</li>
+<li>arm_abs_q7()
+: <a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_abs_q7.c</a>
+, <a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_math.h</a>
+</li>
+<li>arm_add_f32()
+: <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32.c</a>
+, <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_math.h</a>
+</li>
+<li>arm_add_q15()
+: <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15.c</a>
+, <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_math.h</a>
+</li>
+<li>arm_add_q31()
+: <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31.c</a>
+, <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_math.h</a>
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+   <div id="projectname">CMSIS-DSP
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
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+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li class="current"><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x62.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>arm_bilinear_interp_f32()
+: <a class="el" href="group___bilinear_interpolate.html#gab49a4c0f64854903d996d01ba38f711a">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q15()
+: <a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q31()
+: <a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q7()
+: <a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_math.h</a>
+</li>
+<li>arm_biquad_cas_df1_32x64_init_q31()
+: <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cascade_df1_32x64_init_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_math.h</a>
+</li>
+<li>arm_biquad_cas_df1_32x64_q31()
+: <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cascade_df1_32x64_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_f32()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_fast_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_fast_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_init_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_init_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_f64()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_init_f64()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_stereo_df2T_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_stereo_df2T_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_math.h</a>
+</li>
+<li>arm_bitreversal_16()
+: <a class="el" href="arm__cfft__q15_8c.html#a773957c278f4d9e728711f27e8a6e278">arm_cfft_q15.c</a>
+</li>
+<li>arm_bitreversal_32()
+: <a class="el" href="arm__cfft__q31_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__f32_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_cfft_f32.c</a>
+</li>
+<li>arm_bitreversal_f32()
+: <a class="el" href="arm__cfft__radix2__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_cfft_radix2_f32.c</a>
+, <a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal.c</a>
+, <a class="el" href="arm__cfft__radix4__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_cfft_radix4_f32.c</a>
+, <a class="el" href="arm__rfft__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_rfft_f32.c</a>
+</li>
+<li>arm_bitreversal_q15()
+: <a class="el" href="arm__bitreversal_8c.html#a12a07b49948c354172ae07358309a4a5">arm_bitreversal.c</a>
+, <a class="el" href="arm__cfft__radix4__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_cfft_radix4_q15.c</a>
+, <a class="el" href="arm__cfft__radix2__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_cfft_radix2_q15.c</a>
+</li>
+<li>arm_bitreversal_q31()
+: <a class="el" href="arm__cfft__radix4__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_cfft_radix4_q31.c</a>
+, <a class="el" href="arm__cfft__radix2__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_cfft_radix2_q31.c</a>
+, <a class="el" href="arm__bitreversal_8c.html#a27618705158b5c42db5fb0a381f8efc1">arm_bitreversal.c</a>
+</li>
+<li>B_f32
+: <a class="el" href="arm__matrix__example__f32_8c.html#a974d5f0aace6a99e29ca767907fb3b9f">arm_matrix_example_f32.c</a>
+</li>
+<li>biquadStateBand1Q31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a8e7062fa3f8b5ed9849566d16270f4ec">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>biquadStateBand2Q31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4a82090b15ebd0a45048d94f16131782">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>biquadStateBand3Q31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#ad487a54340631b764952fccf599adc8a">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>biquadStateBand4Q31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a122ed5f6d8665139fbe9424a073b3474">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>biquadStateBand5Q31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af88658a8c5f87eeea26da30305921b59">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>Bk
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a88a0167516ae7ed66203fd60e6ddeea3">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>BLOCK_SIZE
+: <a class="el" href="arm__fir__example__f32_8c.html#ad51ded0bbd705f02f73fc60c0b721ced">arm_fir_example_f32.c</a>
+</li>
+<li>blockSize
+: <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">arm_fir_example_f32.c</a>
+</li>
+<li>BLOCKSIZE
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#afcf795f5a96fd55561abe69f56224630">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>blockSize
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">arm_variance_example_f32.c</a>
+</li>
+<li>BLOCKSIZE
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#afcf795f5a96fd55561abe69f56224630">arm_signal_converge_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x63.html b/Documentation/DSP/html/globals_0x63.html
new file mode 100644
index 0000000..3ff4cc4
--- /dev/null
+++ b/Documentation/DSP/html/globals_0x63.html
@@ -0,0 +1,723 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
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+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
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+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>arm_calc_2pow()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_convolution_example/ARM/math_helper.c</a>
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+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_convolution_example/GCC/math_helper.h</a>
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+</li>
+<li>arm_calc_guard_bits()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/GCC/math_helper.c</a>
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+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_fir_example/ARM/math_helper.h</a>
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+</li>
+<li>arm_cfft_f32()
+: <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_math.h</a>
+</li>
+<li>arm_cfft_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_math.h</a>
+, <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15.c</a>
+</li>
+<li>arm_cfft_q31()
+: <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_f32()
+: <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_f32()
+: <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_q31()
+: <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_q31()
+: <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_f32()
+: <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_init_f32()
+: <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_init_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_init_q31()
+: <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4_q31()
+: <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_math.h</a>
+</li>
+<li>arm_cfft_radix4by2_inverse_q15()
+: <a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_q15.c</a>
+</li>
+<li>arm_cfft_radix4by2_inverse_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_q31.c</a>
+</li>
+<li>arm_cfft_radix4by2_q15()
+: <a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_q15.c</a>
+</li>
+<li>arm_cfft_radix4by2_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_q31.c</a>
+</li>
+<li>arm_cfft_radix8by2_f32()
+: <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_f32.c</a>
+</li>
+<li>arm_cfft_radix8by4_f32()
+: <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_f32.c</a>
+</li>
+<li>arm_cfft_sR_f32_len1024
+: <a class="el" href="arm__const__structs_8c.html#a05abc294a9159abbd6ffb4f188fe18b1">arm_const_structs.c</a>
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+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a32f9f3d19e53161382c5bd39e3df50fb">arm_fir_example/ARM/math_helper.h</a>
+</li>
+<li>arm_conv_f32()
+: <a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32.c</a>
+, <a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_math.h</a>
+</li>
+<li>arm_conv_fast_opt_q15()
+: <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_math.h</a>
+, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15.c</a>
+</li>
+<li>arm_conv_fast_q15()
+: <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15.c</a>
+, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_math.h</a>
+</li>
+<li>arm_conv_fast_q31()
+: <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_conv_fast_q31.c</a>
+, <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_math.h</a>
+</li>
+<li>arm_conv_opt_q15()
+: <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15.c</a>
+, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_math.h</a>
+</li>
+<li>arm_conv_opt_q7()
+: <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_math.h</a>
+, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7.c</a>
+</li>
+<li>arm_conv_partial_f32()
+: <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_conv_partial_f32.c</a>
+, <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_math.h</a>
+</li>
+<li>arm_conv_partial_fast_opt_q15()
+: <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15.c</a>
+</li>
+<li>arm_conv_partial_fast_q15()
+: <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15.c</a>
+, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_math.h</a>
+</li>
+<li>arm_conv_partial_fast_q31()
+: <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31.c</a>
+, <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_math.h</a>
+</li>
+<li>arm_conv_partial_opt_q15()
+: <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15.c</a>
+, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_math.h</a>
+</li>
+<li>arm_conv_partial_opt_q7()
+: <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7.c</a>
+</li>
+<li>arm_conv_partial_q15()
+: <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15.c</a>
+</li>
+<li>arm_conv_partial_q31()
+: <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31.c</a>
+, <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_math.h</a>
+</li>
+<li>arm_conv_partial_q7()
+: <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7.c</a>
+</li>
+<li>arm_conv_q15()
+: <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_math.h</a>
+, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15.c</a>
+</li>
+<li>arm_conv_q31()
+: <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_conv_q31.c</a>
+, <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_math.h</a>
+</li>
+<li>arm_conv_q7()
+: <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_conv_q7.c</a>
+, <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_math.h</a>
+</li>
+<li>arm_copy_f32()
+: <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32.c</a>
+, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_math.h</a>
+</li>
+<li>arm_copy_q15()
+: <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_math.h</a>
+, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15.c</a>
+</li>
+<li>arm_copy_q31()
+: <a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_copy_q31.c</a>
+, <a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_math.h</a>
+</li>
+<li>arm_copy_q7()
+: <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_copy_q7.c</a>
+, <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_math.h</a>
+</li>
+<li>arm_correlate_f32()
+: <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_correlate_f32.c</a>
+</li>
+<li>arm_correlate_fast_opt_q15()
+: <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15.c</a>
+, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_math.h</a>
+</li>
+<li>arm_correlate_fast_q15()
+: <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15.c</a>
+, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_math.h</a>
+</li>
+<li>arm_correlate_fast_q31()
+: <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_math.h</a>
+, <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_correlate_fast_q31.c</a>
+</li>
+<li>arm_correlate_opt_q15()
+: <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_math.h</a>
+, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15.c</a>
+</li>
+<li>arm_correlate_opt_q7()
+: <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7.c</a>
+, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_math.h</a>
+</li>
+<li>arm_correlate_q15()
+: <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15.c</a>
+, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_math.h</a>
+</li>
+<li>arm_correlate_q31()
+: <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_correlate_q31.c</a>
+</li>
+<li>arm_correlate_q7()
+: <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_correlate_q7.c</a>
+, <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_math.h</a>
+</li>
+<li>arm_cos_f32()
+: <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_math.h</a>
+, <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32.c</a>
+</li>
+<li>arm_cos_q15()
+: <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15.c</a>
+, <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_math.h</a>
+</li>
+<li>arm_cos_q31()
+: <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_math.h</a>
+, <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31.c</a>
+</li>
+<li>clip_q31_to_q15()
+: <a class="el" href="arm__math_8h.html#a4af3ca330e14587289518e6565fd04bd">arm_math.h</a>
+</li>
+<li>clip_q31_to_q7()
+: <a class="el" href="arm__math_8h.html#aa9918ce19228b0d4f072fb84776eabc1">arm_math.h</a>
+</li>
+<li>clip_q63_to_q15()
+: <a class="el" href="arm__math_8h.html#aa6f1e5d0d276f42217e75f071ca84a2e">arm_math.h</a>
+</li>
+<li>clip_q63_to_q31()
+: <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">arm_math.h</a>
+</li>
+<li>coeffTable
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a024c59772b9603698b898721c1e8204e">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>CONTROLLER_Q31_SHIFT
+: <a class="el" href="arm__math_8h.html#aaff6d2358c4ada8de838a279254ab550">arm_math.h</a>
+</li>
+<li>cos_factors_128
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga16248ed86161ef97538011b49f13e8b7">arm_dct4_init_f32.c</a>
+</li>
+<li>cos_factors_2048
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga1ba5306e0bc44730b40ab34cced45fd6">arm_dct4_init_f32.c</a>
+</li>
+<li>cos_factors_512
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga49fd288352ca5bb43f5cec52273b0d80">arm_dct4_init_f32.c</a>
+</li>
+<li>cos_factors_8192
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gac12484542bc6aaecc754c855457411de">arm_dct4_init_f32.c</a>
+</li>
+<li>cos_factorsQ15_128
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga1477edd21c7b08b0b59a564f6c24d6c5">arm_dct4_init_q15.c</a>
+</li>
+<li>cos_factorsQ15_2048
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaeee5df7c1be2374441868ecbbc6c7e5d">arm_dct4_init_q15.c</a>
+</li>
+<li>cos_factorsQ15_512
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gac056c3d026058eab3ba650828ff5642f">arm_dct4_init_q15.c</a>
+</li>
+<li>cos_factorsQ15_8192
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga988ff0563cc9df7848c9348871ac6c07">arm_dct4_init_q15.c</a>
+</li>
+<li>cos_factorsQ31_128
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gabb8ee2004a3520fd08388db637d43875">arm_dct4_init_q31.c</a>
+</li>
+<li>cos_factorsQ31_2048
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaa15fc3fb058482defda371113cd12e74">arm_dct4_init_q31.c</a>
+</li>
+<li>cos_factorsQ31_512
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga3559569e603cb918911074be88523d0e">arm_dct4_init_q31.c</a>
+</li>
+<li>cos_factorsQ31_8192
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaf687c4bbdbc700a3ad5d807d28de63e4">arm_dct4_init_q31.c</a>
+</li>
+<li>cosOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a85b1050fcef4347d69f35a9aee798f8a">arm_sin_cos_example_f32.c</a>
+</li>
+<li>cosSquareOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a2cb185794dcb587d158f346ab049cc4e">arm_sin_cos_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="navtree.js"></script>
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+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li class="current"><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x64.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>arm_dct4_f32()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_math.h</a>
+</li>
+<li>arm_dct4_init_f32()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_math.h</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32.c</a>
+</li>
+<li>arm_dct4_init_q15()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_math.h</a>
+</li>
+<li>arm_dct4_init_q31()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_math.h</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31.c</a>
+</li>
+<li>arm_dct4_q15()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_math.h</a>
+</li>
+<li>arm_dct4_q31()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_math.h</a>
+</li>
+<li>arm_dot_prod_f32()
+: <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_dot_prod_f32.c</a>
+, <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_math.h</a>
+</li>
+<li>arm_dot_prod_q15()
+: <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_dot_prod_q15.c</a>
+, <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_math.h</a>
+</li>
+<li>arm_dot_prod_q31()
+: <a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_dot_prod_q31.c</a>
+, <a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_math.h</a>
+</li>
+<li>arm_dot_prod_q7()
+: <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_math.h</a>
+, <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_dot_prod_q7.c</a>
+</li>
+<li>DELTA
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">arm_variance_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a3fd2b1bcd7ddcf506237987ad780f495">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>DELTA_COEFF
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a9156349d99957ded15d8aa3aa11723de">arm_signal_converge_example_f32.c</a>
+</li>
+<li>DELTA_ERROR
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a6d3c6a4484dcaac72fbfe5100c39b9b6">arm_signal_converge_example_f32.c</a>
+</li>
+<li>DELTA_Q15
+: <a class="el" href="arm__math_8h.html#a663277ff19ad0b409fb98b64b2c2750b">arm_math.h</a>
+</li>
+<li>DELTA_Q31
+: <a class="el" href="arm__math_8h.html#aad77ae594e95c5af6ae4129bd6a483c2">arm_math.h</a>
+</li>
+<li>doBitReverse
+: <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a4d2e31c38e8172505e0a369a6898657d">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x65.html b/Documentation/DSP/html/globals_0x65.html
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+          </span>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x65.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>err_signal
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">arm_signal_converge_example_f32.c</a>
+</li>
+<li>errOutput
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a276e8a27484cf9389dabf047e76992ed">arm_signal_converge_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x66.html b/Documentation/DSP/html/globals_0x66.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/globals_0x66.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li class="current"><a href="globals.html"><span>All</span></a></li>
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+      <li><a href="globals.html#index__"><span>_</span></a></li>
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+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li class="current"><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
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+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
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+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+$(document).ready(function(){initNavTree('globals_0x66.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>arm_fill_f32()
+: <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32.c</a>
+, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_math.h</a>
+</li>
+<li>arm_fill_q15()
+: <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15.c</a>
+, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_math.h</a>
+</li>
+<li>arm_fill_q31()
+: <a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_fill_q31.c</a>
+, <a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_math.h</a>
+</li>
+<li>arm_fill_q7()
+: <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7.c</a>
+, <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_f32()
+: <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_fast_q15()
+: <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_fast_q31()
+: <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_init_f32()
+: <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_init_q15()
+: <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_init_q31()
+: <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_q15()
+: <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_q31()
+: <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_math.h</a>
+</li>
+<li>arm_fir_f32()
+: <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32.c</a>
+, <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_math.h</a>
+</li>
+<li>arm_fir_fast_q15()
+: <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15.c</a>
+, <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_math.h</a>
+</li>
+<li>arm_fir_fast_q31()
+: <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31.c</a>
+, <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_math.h</a>
+</li>
+<li>arm_fir_init_f32()
+: <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32.c</a>
+, <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_math.h</a>
+</li>
+<li>arm_fir_init_q15()
+: <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15.c</a>
+, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_math.h</a>
+</li>
+<li>arm_fir_init_q31()
+: <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31.c</a>
+, <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_math.h</a>
+</li>
+<li>arm_fir_init_q7()
+: <a class="el" href="group___f_i_r.html#ga88e48688224d42dc173dbcec702f0c1d">arm_fir_init_q7.c</a>
+, <a class="el" href="group___f_i_r.html#ga88e48688224d42dc173dbcec702f0c1d">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_f32()
+: <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_f32()
+: <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_q15()
+: <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_q31()
+: <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_q15()
+: <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_q31()
+: <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_f32()
+: <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_f32()
+: <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_q15()
+: <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_fir_lattice_init_q15.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_q31()
+: <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_q15()
+: <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_q31()
+: <a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_fir_lattice_q31.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_math.h</a>
+</li>
+<li>arm_fir_q15()
+: <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15.c</a>
+, <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_math.h</a>
+</li>
+<li>arm_fir_q31()
+: <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31.c</a>
+, <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_math.h</a>
+</li>
+<li>arm_fir_q7()
+: <a class="el" href="group___f_i_r.html#ga31c91a0bf0962327ef8f626fae68ea32">arm_fir_q7.c</a>
+, <a class="el" href="group___f_i_r.html#ga31c91a0bf0962327ef8f626fae68ea32">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_f32()
+: <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_init_f32()
+: <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_init_q15()
+: <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_init_q31()
+: <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_init_q7()
+: <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_q15()
+: <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15.c</a>
+, <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_math.h</a>
+</li>
+<li>arm_fir_sparse_q31()
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+</li>
+<li>arm_float_to_q15()
+: <a class="el" href="group__float__to__x.html#ga215456e35a18db86882e1d3f0d24e1f2">arm_float_to_q15.c</a>
+, <a class="el" href="group__float__to__x.html#ga215456e35a18db86882e1d3f0d24e1f2">arm_math.h</a>
+</li>
+<li>arm_float_to_q28()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aa1049b3adb14331612bb762237391625">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aa1049b3adb14331612bb762237391625">arm_convolution_example/GCC/math_helper.c</a>
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+</li>
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+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a098c587b93469a7a6bcc521d42fdf6f9">arm_convolution_example/ARM/math_helper.h</a>
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+</li>
+<li>arm_float_to_q30()
+: <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a16764fdbc174a79f04b07032cf902079">arm_linear_interp_example/ARM/math_helper.h</a>
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+</li>
+<li>arm_float_to_q31()
+: <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_math.h</a>
+, <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31.c</a>
+</li>
+<li>arm_float_to_q7()
+: <a class="el" href="group__float__to__x.html#ga44a393818cdee8dce80f2d66add25411">arm_math.h</a>
+, <a class="el" href="group__float__to__x.html#ga44a393818cdee8dce80f2d66add25411">arm_float_to_q7.c</a>
+</li>
+<li>FAST_MATH_Q15_SHIFT
+: <a class="el" href="arm__math_8h.html#a34716b73c631e65e8dd855e08384ecb2">arm_math.h</a>
+</li>
+<li>FAST_MATH_Q31_SHIFT
+: <a class="el" href="arm__math_8h.html#a4268f77b1811a0c7fc2532a0bf6108b0">arm_math.h</a>
+</li>
+<li>FAST_MATH_TABLE_SIZE
+: <a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">arm_math.h</a>
+</li>
+<li>fftSize
+: <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a9b500899c581f6df3ffc0a9f3a9ef6aa">ARM/arm_fft_bin_example_f32.c</a>
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+<li>FIRCoeff_f32
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="arm__signal__converge__data_8c.html#aede8780f021b7f5c33df0c5ee2183ee6">arm_signal_converge_data.c</a>
+</li>
+<li>firCoeffs32
+: <a class="el" href="arm__fir__example__f32_8c.html#ae070afd14f437ad1ae0a947e4403dd0e">arm_fir_example_f32.c</a>
+</li>
+<li>firStateF32
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a358ec4e79689e6d3787b89fe78bdb772">arm_signal_converge_example_f32.c</a>
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+</li>
+<li>float32_t
+: <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">arm_math.h</a>
+</li>
+<li>float64_t
+: <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   <div id="projectname">CMSIS-DSP
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
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+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li class="current"><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x67.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gainDB
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>getinput()
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#afd2975c4763ec935771e6f63bfe7758b">arm_signal_converge_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x69.html b/Documentation/DSP/html/globals_0x69.html
new file mode 100644
index 0000000..08fe310
--- /dev/null
+++ b/Documentation/DSP/html/globals_0x69.html
@@ -0,0 +1,214 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li class="current"><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x69.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>arm_iir_lattice_f32()
+: <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_init_f32()
+: <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_init_q15()
+: <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_math.h</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15.c</a>
+</li>
+<li>arm_iir_lattice_init_q31()
+: <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_q15()
+: <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_q31()
+: <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_math.h</a>
+</li>
+<li>arm_inv_clarke_f32()
+: <a class="el" href="group__inv__clarke.html#ga137f0396d837477b899ecae89f075a50">arm_math.h</a>
+</li>
+<li>arm_inv_clarke_q31()
+: <a class="el" href="group__inv__clarke.html#ga2d0c60f114f095a2f27442d98781ba02">arm_math.h</a>
+</li>
+<li>arm_inv_park_f32()
+: <a class="el" href="group__inv__park.html#gaaf6bef0de21946f774d49df050dd8b05">arm_math.h</a>
+</li>
+<li>arm_inv_park_q31()
+: <a class="el" href="group__inv__park.html#ga0b33822b988a15455773d28440c5579a">arm_math.h</a>
+</li>
+<li>ifftFlag
+: <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ARM/arm_fft_bin_example_f32.c</a>
+</li>
+<li>INDEX_MASK
+: <a class="el" href="arm__math_8h.html#a29f839928f4752b73c8858d6dbb55294">arm_math.h</a>
+</li>
+<li>INPUT_SPACING
+: <a class="el" href="arm__math_8h.html#a1339e9abc11a3870e0c04f822a62166a">arm_math.h</a>
+</li>
+<li>inputQ31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a79521a4d6a9adb144c4d999ae713413c">arm_graphic_equalizer_example_q31.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x6c.html b/Documentation/DSP/html/globals_0x6c.html
new file mode 100644
index 0000000..1e50032
--- /dev/null
+++ b/Documentation/DSP/html/globals_0x6c.html
@@ -0,0 +1,242 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li class="current"><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x6c.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>arm_linear_interep_table
+: <a class="el" href="arm__linear__interp__data_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interp_data.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#a1a5a6c95f39221fcf8129fe478f54696">arm_linear_interp_example_f32.c</a>
+</li>
+<li>arm_linear_interp_f32()
+: <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q15()
+: <a class="el" href="group___linear_interpolate.html#ga42c9206e5d2d22b8808716dc30622846">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q31()
+: <a class="el" href="group___linear_interpolate.html#ga690e63e9a513ca0a741b1b174805d031">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q7()
+: <a class="el" href="group___linear_interpolate.html#gacb0d44fe00aca0ba1d036d469a1763fc">arm_math.h</a>
+</li>
+<li>arm_lms_f32()
+: <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_math.h</a>
+, <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32.c</a>
+</li>
+<li>arm_lms_init_f32()
+: <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32.c</a>
+, <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_math.h</a>
+</li>
+<li>arm_lms_init_q15()
+: <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15.c</a>
+, <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_math.h</a>
+</li>
+<li>arm_lms_init_q31()
+: <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31.c</a>
+, <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_math.h</a>
+</li>
+<li>arm_lms_norm_f32()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_math.h</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32.c</a>
+</li>
+<li>arm_lms_norm_init_f32()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_math.h</a>
+</li>
+<li>arm_lms_norm_init_q15()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_math.h</a>
+</li>
+<li>arm_lms_norm_init_q31()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_math.h</a>
+</li>
+<li>arm_lms_norm_q15()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_math.h</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15.c</a>
+</li>
+<li>arm_lms_norm_q31()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_math.h</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31.c</a>
+</li>
+<li>arm_lms_q15()
+: <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15.c</a>
+, <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_math.h</a>
+</li>
+<li>arm_lms_q31()
+: <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31.c</a>
+, <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_math.h</a>
+</li>
+<li>lmsNorm_instance
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a519f9b4db839245f3bf2075ff4c17605">arm_signal_converge_example_f32.c</a>
+</li>
+<li>lmsNormCoeff_f32
+: <a class="el" href="arm__signal__converge__data_8c.html#aad7c60c30c5af397bb75e603f250f9d3">arm_signal_converge_data.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#aad7c60c30c5af397bb75e603f250f9d3">arm_signal_converge_example_f32.c</a>
+</li>
+<li>lmsStateF32
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a706980f6f654d199c61e08e7814bd0a1">arm_signal_converge_example_f32.c</a>
+</li>
+<li>LPF_instance
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a652d3507a776117b4860b3e18f2d2d64">arm_signal_converge_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+	-->
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+  </ul>
+</div>
+</body>
+</html>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
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+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li class="current"><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x6d.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>arm_mat_add_f32()
+: <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32.c</a>
+, <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_math.h</a>
+</li>
+<li>arm_mat_add_q15()
+: <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15.c</a>
+, <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_math.h</a>
+</li>
+<li>arm_mat_add_q31()
+: <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31.c</a>
+, <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_f32()
+: <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_q15()
+: <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_q31()
+: <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_math.h</a>
+</li>
+<li>arm_mat_init_f32()
+: <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32.c</a>
+, <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_math.h</a>
+</li>
+<li>arm_mat_init_q15()
+: <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15.c</a>
+, <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_math.h</a>
+</li>
+<li>arm_mat_init_q31()
+: <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31.c</a>
+, <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_math.h</a>
+</li>
+<li>arm_mat_inverse_f32()
+: <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32.c</a>
+, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_math.h</a>
+</li>
+<li>arm_mat_inverse_f64()
+: <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64.c</a>
+, <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_math.h</a>
+</li>
+<li>arm_mat_mult_f32()
+: <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32.c</a>
+, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_math.h</a>
+</li>
+<li>arm_mat_mult_fast_q15()
+: <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15.c</a>
+, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_math.h</a>
+</li>
+<li>arm_mat_mult_fast_q31()
+: <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31.c</a>
+, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_math.h</a>
+</li>
+<li>arm_mat_mult_q15()
+: <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15.c</a>
+, <a class="el" href="arm__math_8h.html#a7521d59196189bb6dde26e8cdfb66e21">arm_math.h</a>
+</li>
+<li>arm_mat_mult_q31()
+: <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31.c</a>
+, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_math.h</a>
+</li>
+<li>arm_mat_scale_f32()
+: <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_math.h</a>
+, <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32.c</a>
+</li>
+<li>arm_mat_scale_q15()
+: <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15.c</a>
+, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_math.h</a>
+</li>
+<li>arm_mat_scale_q31()
+: <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31.c</a>
+, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_math.h</a>
+</li>
+<li>arm_mat_sub_f32()
+: <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32.c</a>
+, <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_math.h</a>
+</li>
+<li>arm_mat_sub_q15()
+: <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15.c</a>
+, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_math.h</a>
+</li>
+<li>arm_mat_sub_q31()
+: <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31.c</a>
+, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_math.h</a>
+</li>
+<li>arm_mat_trans_f32()
+: <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32.c</a>
+, <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_math.h</a>
+</li>
+<li>arm_mat_trans_q15()
+: <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15.c</a>
+, <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_math.h</a>
+</li>
+<li>arm_mat_trans_q31()
+: <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31.c</a>
+, <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_math.h</a>
+</li>
+<li>arm_max_f32()
+: <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32.c</a>
+, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_math.h</a>
+</li>
+<li>arm_max_q15()
+: <a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_max_q15.c</a>
+, <a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_math.h</a>
+</li>
+<li>arm_max_q31()
+: <a class="el" href="group___max.html#gaff7cbd4e955382def06724cc4cc85795">arm_max_q31.c</a>
+, <a class="el" href="group___max.html#gaff7cbd4e955382def06724cc4cc85795">arm_math.h</a>
+</li>
+<li>arm_max_q7()
+: <a class="el" href="group___max.html#ga6afd64d381b5c232de59163ebfe71e35">arm_max_q7.c</a>
+, <a class="el" href="group___max.html#ga6afd64d381b5c232de59163ebfe71e35">arm_math.h</a>
+</li>
+<li>arm_mean_f32()
+: <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32.c</a>
+, <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_math.h</a>
+</li>
+<li>arm_mean_q15()
+: <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_mean_q15.c</a>
+, <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_math.h</a>
+</li>
+<li>arm_mean_q31()
+: <a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_mean_q31.c</a>
+, <a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_math.h</a>
+</li>
+<li>arm_mean_q7()
+: <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_mean_q7.c</a>
+, <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_math.h</a>
+</li>
+<li>arm_min_f32()
+: <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32.c</a>
+, <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_math.h</a>
+</li>
+<li>arm_min_q15()
+: <a class="el" href="group___min.html#gad065e37535ebb726750ac1545cb3fa6f">arm_min_q15.c</a>
+, <a class="el" href="group___min.html#gad065e37535ebb726750ac1545cb3fa6f">arm_math.h</a>
+</li>
+<li>arm_min_q31()
+: <a class="el" href="group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303">arm_min_q31.c</a>
+, <a class="el" href="group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303">arm_math.h</a>
+</li>
+<li>arm_min_q7()
+: <a class="el" href="group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed">arm_math.h</a>
+, <a class="el" href="group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed">arm_min_q7.c</a>
+</li>
+<li>arm_mult_f32()
+: <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_math.h</a>
+, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32.c</a>
+</li>
+<li>arm_mult_q15()
+: <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_math.h</a>
+, <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15.c</a>
+</li>
+<li>arm_mult_q31()
+: <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31.c</a>
+, <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_math.h</a>
+</li>
+<li>arm_mult_q7()
+: <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7.c</a>
+, <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_math.h</a>
+</li>
+<li>M0
+: <a class="el" href="arm__convolution__example_2_g_c_c_2_abstract_8txt.html#adc5db9f8d5aa735dbce2dc35f184d85e">arm_convolution_example/GCC/Abstract.txt</a>
+, <a class="el" href="arm__fft__bin__example_2_g_c_c_2_abstract_8txt.html#ad0415ef995ebc3fc2ad584da9907dcb5">arm_fft_bin_example/GCC/Abstract.txt</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_abstract_8txt.html#a59a24f1db2c97fc0ad7948b4a74267ee">arm_class_marks_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_abstract_8txt.html#a59a24f1db2c97fc0ad7948b4a74267ee">arm_class_marks_example/GCC/Abstract.txt</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2_abstract_8txt.html#abf726d1cea9345acb0021535d4fdd5af">arm_fir_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__variance__example_2_a_r_m_2_abstract_8txt.html#a8c8cf1e0f2ebd6135c79d5338a60899c">arm_variance_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_abstract_8txt.html#a80f8916aca7a5a98fcfc39d1ef743b37">arm_linear_interp_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__dotproduct__example_2_a_r_m_2_abstract_8txt.html#aafffda4c4e9b93a580e5a8cc96c11e37">arm_dotproduct_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_abstract_8txt.html#ac378b27aa1fc4fe4ac9a4dfa2d185553">arm_graphic_equalizer_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__fft__bin__example_2_a_r_m_2_abstract_8txt.html#ad0415ef995ebc3fc2ad584da9907dcb5">arm_fft_bin_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_abstract_8txt.html#adc5db9f8d5aa735dbce2dc35f184d85e">arm_convolution_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__dotproduct__example_2_g_c_c_2_abstract_8txt.html#aafffda4c4e9b93a580e5a8cc96c11e37">arm_dotproduct_example/GCC/Abstract.txt</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_abstract_8txt.html#a267aee43e600168b057c1aa126029002">arm_matrix_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_abstract_8txt.html#ae39c147711857790fd5c3cc7a75ef0c3">arm_sin_cos_example/ARM/Abstract.txt</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_abstract_8txt.html#a20d2ac954144a7f2d4aced0816eecef6">arm_signal_converge_example/ARM/Abstract.txt</a>
+</li>
+<li>main()
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_fir_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_variance_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_linear_interp_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_matrix_example_f32.c</a>
+</li>
+<li>MAX_BLOCKSIZE
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">arm_variance_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">arm_sin_cos_example_f32.c</a>
+</li>
+<li>max_marks
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#aad32888fa966b3d9db9c31bcbba9d9ef">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>mean
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>merge_rfft_f32()
+: <a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">arm_rfft_fast_f32.c</a>
+</li>
+<li>min_marks
+: <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abb7687fa07ec54d8e792cfcbfe2ca809">ARM/arm_class_marks_example_f32.c</a>
+</li>
+<li>MU
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a09bc9e6a44f0291cfcf578f2efcddfab">arm_signal_converge_example_f32.c</a>
+</li>
+<li>mult32x64()
+: <a class="el" href="arm__math_8h.html#a642a29d71f7951a7f6c0b797c300b711">arm_math.h</a>
+</li>
+<li>mult_32x32_keep32
+: <a class="el" href="arm__math_8h.html#abb4baa0192bbb6fabc9251af4b4cb322">arm_math.h</a>
+</li>
+<li>mult_32x32_keep32_R
+: <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">arm_math.h</a>
+</li>
+<li>multAcc_32x32_keep32
+: <a class="el" href="arm__math_8h.html#a58454519e12e8157f0a1c36071333655">arm_math.h</a>
+</li>
+<li>multAcc_32x32_keep32_R
+: <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">arm_math.h</a>
+</li>
+<li>multOutput
+: <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad0bfd425dfe1ff2bda80fb957e464098">ARM/arm_dotproduct_example_f32.c</a>
+</li>
+<li>multSub_32x32_keep32
+: <a class="el" href="arm__math_8h.html#a9ec66f3082a4c65c78075638255f42ab">arm_math.h</a>
+</li>
+<li>multSub_32x32_keep32_R
+: <a class="el" href="arm__math_8h.html#a668fbf1cd1c3bc8faf1b1c83964ade23">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
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+</html>
diff --git a/Documentation/DSP/html/globals_0x6e.html b/Documentation/DSP/html/globals_0x6e.html
new file mode 100644
index 0000000..2deef6b
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x6e.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>arm_negate_f32()
+: <a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_negate_f32.c</a>
+, <a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_math.h</a>
+</li>
+<li>arm_negate_q15()
+: <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_math.h</a>
+, <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15.c</a>
+</li>
+<li>arm_negate_q31()
+: <a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_negate_q31.c</a>
+, <a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_math.h</a>
+</li>
+<li>arm_negate_q7()
+: <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_math.h</a>
+, <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7.c</a>
+</li>
+<li>NUM_TAPS
+: <a class="el" href="arm__fir__example__f32_8c.html#a7579d94e0a80fb9d376ea6c7897f73b0">arm_fir_example_f32.c</a>
+</li>
+<li>numBlocks
+: <a class="el" href="arm__fir__example__f32_8c.html#af7d5613bda9a19b2ccae5d6cb79a22bc">arm_fir_example_f32.c</a>
+</li>
+<li>NUMBLOCKS
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a814e34126e1b8150f4de047e1a9e7030">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>NUMFRAMES
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a4b6b859e1e3f6021a360390be287ca2c">arm_signal_converge_example_f32.c</a>
+</li>
+<li>NUMSTAGES
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a23f8e430b510dfdb3ebe53bffca0d864">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>numStudents
+: <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#ab3b66d06b4af1af4ea2740d0ccf4e7bd">ARM/arm_class_marks_example_f32.c</a>
+</li>
+<li>NUMSTUDENTS
+: <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a9d89ac0707e7c9363544986d47a70bd3">ARM/arm_class_marks_example_f32.c</a>
+</li>
+<li>NUMSUBJECTS
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">ARM/arm_class_marks_example_f32.c</a>
+</li>
+<li>numSubjects
+: <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>NUMSUBJECTS
+: <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a7b02f9b34bf2cd4d12633f5bf30771ec">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>numSubjects
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3d01884f63bcb694226ca7c24980757a">ARM/arm_class_marks_example_f32.c</a>
+</li>
+<li>NUMTAPS
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#ac1d8ddb4f9a957eef3ad13d44de4d804">arm_signal_converge_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x6f.html b/Documentation/DSP/html/globals_0x6f.html
new file mode 100644
index 0000000..1eed6c3
--- /dev/null
+++ b/Documentation/DSP/html/globals_0x6f.html
@@ -0,0 +1,188 @@
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li class="current"><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x6f.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>arm_offset_f32()
+: <a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_offset_f32.c</a>
+, <a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_math.h</a>
+</li>
+<li>arm_offset_q15()
+: <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_math.h</a>
+, <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_offset_q15.c</a>
+</li>
+<li>arm_offset_q31()
+: <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_offset_q31.c</a>
+, <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_math.h</a>
+</li>
+<li>arm_offset_q7()
+: <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_math.h</a>
+, <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7.c</a>
+</li>
+<li>outLen
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a9c49c44c8bc5c432d220d33a26b4b589">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>outputQ31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">arm_graphic_equalizer_example_q31.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+	</li>
+  </ul>
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+</html>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x70.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>arm_park_f32()
+: <a class="el" href="group__park.html#ga08b3a683197de7e143fb00497787683c">arm_math.h</a>
+</li>
+<li>arm_park_q31()
+: <a class="el" href="group__park.html#gaf4cc6370c0cfc14ea66774ed3c5bb10f">arm_math.h</a>
+</li>
+<li>arm_pid_f32()
+: <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_math.h</a>
+</li>
+<li>arm_pid_init_f32()
+: <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32.c</a>
+, <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_math.h</a>
+</li>
+<li>arm_pid_init_q15()
+: <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_math.h</a>
+, <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15.c</a>
+</li>
+<li>arm_pid_init_q31()
+: <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31.c</a>
+, <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_math.h</a>
+</li>
+<li>arm_pid_q15()
+: <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_math.h</a>
+</li>
+<li>arm_pid_q31()
+: <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_math.h</a>
+</li>
+<li>arm_pid_reset_f32()
+: <a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_pid_reset_f32.c</a>
+, <a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_math.h</a>
+</li>
+<li>arm_pid_reset_q15()
+: <a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_math.h</a>
+, <a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_pid_reset_q15.c</a>
+</li>
+<li>arm_pid_reset_q31()
+: <a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_pid_reset_q31.c</a>
+, <a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_math.h</a>
+</li>
+<li>arm_power_f32()
+: <a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_power_f32.c</a>
+, <a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_math.h</a>
+</li>
+<li>arm_power_q15()
+: <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_power_q15.c</a>
+, <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_math.h</a>
+</li>
+<li>arm_power_q31()
+: <a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_power_q31.c</a>
+, <a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_math.h</a>
+</li>
+<li>arm_power_q7()
+: <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_power_q7.c</a>
+, <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_math.h</a>
+</li>
+<li>arm_provide_guard_bits_q15()
+: <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/GCC/math_helper.h</a>
+</li>
+<li>arm_provide_guard_bits_q31()
+: <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_matrix_example/ARM/math_helper.h</a>
+</li>
+<li>arm_provide_guard_bits_q7()
+: <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_convolution_example/GCC/math_helper.c</a>
+</li>
+<li>PI
+: <a class="el" href="arm__math_8h.html#a598a3330b3c21701223ee0ca14316eca">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
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+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x71.html b/Documentation/DSP/html/globals_0x71.html
new file mode 100644
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
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+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li class="current"><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x71.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>arm_q15_to_float()
+: <a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_q15_to_float.c</a>
+, <a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_math.h</a>
+</li>
+<li>arm_q15_to_q31()
+: <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_q15_to_q31.c</a>
+, <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_math.h</a>
+</li>
+<li>arm_q15_to_q7()
+: <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_q15_to_q7.c</a>
+, <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_math.h</a>
+</li>
+<li>arm_q31_to_float()
+: <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_q31_to_float.c</a>
+, <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_math.h</a>
+</li>
+<li>arm_q31_to_q15()
+: <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_q31_to_q15.c</a>
+, <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_math.h</a>
+</li>
+<li>arm_q31_to_q7()
+: <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7.c</a>
+, <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_math.h</a>
+</li>
+<li>arm_q7_to_float()
+: <a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_q7_to_float.c</a>
+, <a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_math.h</a>
+</li>
+<li>arm_q7_to_q15()
+: <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_math.h</a>
+, <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_q7_to_q15.c</a>
+</li>
+<li>arm_q7_to_q31()
+: <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_q7_to_q31.c</a>
+, <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_math.h</a>
+</li>
+<li>q15_t
+: <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">arm_math.h</a>
+</li>
+<li>q31_t
+: <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">arm_math.h</a>
+</li>
+<li>q63_t
+: <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">arm_math.h</a>
+</li>
+<li>q7_t
+: <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x72.html b/Documentation/DSP/html/globals_0x72.html
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index 0000000..7c1c724
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+++ b/Documentation/DSP/html/globals_0x72.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li class="current"><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_0x72.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>arm_radix2_butterfly_f32()
+: <a class="el" href="arm__cfft__radix2__f32_8c.html#a04631e102b5209af3402b225b1abe868">arm_cfft_radix2_f32.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_f32()
+: <a class="el" href="arm__cfft__radix2__f32_8c.html#abda34af152e515a95ac38470ac053b77">arm_cfft_radix2_f32.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_q15()
+: <a class="el" href="arm__cfft__radix2__q15_8c.html#a91ff93fa10757b3872680fec4835c412">arm_cfft_radix2_q15.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_q31()
+: <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_cfft_radix2_q31.c</a>
+</li>
+<li>arm_radix2_butterfly_q15()
+: <a class="el" href="arm__cfft__radix2__q15_8c.html#a521780ba2fd3450cbf02784e38859699">arm_cfft_radix2_q15.c</a>
+</li>
+<li>arm_radix2_butterfly_q31()
+: <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_cfft_radix2_q31.c</a>
+</li>
+<li>arm_radix4_butterfly_f32()
+: <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_rfft_f32.c</a>
+, <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_cfft_radix4_f32.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_f32()
+: <a class="el" href="arm__cfft__radix4__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_cfft_radix4_f32.c</a>
+, <a class="el" href="arm__rfft__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_rfft_f32.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_q15()
+: <a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_cfft_q15.c</a>
+, <a class="el" href="arm__cfft__radix4__q15_8c.html#aad04e8439d17dab5617bf1be268bb391">arm_cfft_radix4_q15.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__radix4__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_cfft_radix4_q31.c</a>
+</li>
+<li>arm_radix4_butterfly_q15()
+: <a class="el" href="arm__cfft__radix4__q15_8c.html#a2d01d2045f280c32036da97d33c52440">arm_cfft_radix4_q15.c</a>
+, <a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_cfft_q15.c</a>
+</li>
+<li>arm_radix4_butterfly_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__radix4__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_cfft_radix4_q31.c</a>
+</li>
+<li>arm_radix8_butterfly_f32()
+: <a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_cfft_f32.c</a>
+, <a class="el" href="arm__cfft__radix8__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_cfft_radix8_f32.c</a>
+</li>
+<li>arm_recip_q15()
+: <a class="el" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7">arm_math.h</a>
+</li>
+<li>arm_recip_q31()
+: <a class="el" href="arm__math_8h.html#a43140f04ca94c2a7394e7a222e2d8fb4">arm_math.h</a>
+</li>
+<li>arm_rfft_f32()
+: <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_math.h</a>
+</li>
+<li>arm_rfft_fast_f32()
+: <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_math.h</a>
+, <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32.c</a>
+</li>
+<li>arm_rfft_fast_init_f32()
+: <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_math.h</a>
+</li>
+<li>arm_rfft_init_f32()
+: <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_math.h</a>
+</li>
+<li>arm_rfft_init_q15()
+: <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_math.h</a>
+</li>
+<li>arm_rfft_init_q31()
+: <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_math.h</a>
+</li>
+<li>arm_rfft_q15()
+: <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_math.h</a>
+</li>
+<li>arm_rfft_q31()
+: <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31.c</a>
+, <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_math.h</a>
+</li>
+<li>arm_rms_f32()
+: <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32.c</a>
+, <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_math.h</a>
+</li>
+<li>arm_rms_q15()
+: <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15.c</a>
+, <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_math.h</a>
+</li>
+<li>arm_rms_q31()
+: <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_math.h</a>
+, <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31.c</a>
+</li>
+<li>realCoefA
+: <a class="el" href="group___real_f_f_t.html#ga8b1ad947c470596674fa3364e16045c6">arm_rfft_init_f32.c</a>
+</li>
+<li>realCoefAQ15
+: <a class="el" href="group___real_f_f_t.html#ga11e84d0ee257a547f749b37dd0078d36">arm_rfft_init_q15.c</a>
+</li>
+<li>realCoefAQ31
+: <a class="el" href="group___real_f_f_t.html#gaf1592a6cf0504675205074a43c3728a2">arm_rfft_init_q31.c</a>
+</li>
+<li>realCoefB
+: <a class="el" href="group___real_f_f_t.html#gac52f98b52a1f03bfac8b57a67ba07397">arm_rfft_init_f32.c</a>
+</li>
+<li>realCoefBQ15
+: <a class="el" href="group___real_f_f_t.html#gac871666f018b70938b2b98017628cb97">arm_rfft_init_q15.c</a>
+</li>
+<li>realCoefBQ31
+: <a class="el" href="group___real_f_f_t.html#ga1eb5745728a61c3715755f5d69a4a960">arm_rfft_init_q31.c</a>
+</li>
+<li>refDotProdOut
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#ad57c1f9ad68d098d79b15ec6844a26fc">GCC/arm_dotproduct_example_f32.c</a>
+</li>
+<li>refIndex
+: <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aec50b0f697fd9e7e7e244487a4bd57e4">ARM/arm_fft_bin_example_f32.c</a>
+</li>
+<li>refOutput
+: <a class="el" href="arm__fir__data_8c.html#aa7570f8c2e7a3c929d9d32a14a51389f">arm_fir_data.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#a12d0acaa028f1dcd964d2d188e7df331">arm_fir_example_f32.c</a>
+</li>
+<li>refVarianceOut
+: <a class="el" href="arm__variance__example__f32_8c.html#a26cbbfe2a7905669e8440159465050df">arm_variance_example_f32.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_0x73.html b/Documentation/DSP/html/globals_0x73.html
new file mode 100644
index 0000000..c36de50
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+++ b/Documentation/DSP/html/globals_0x73.html
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<!-- Generated by Doxygen 1.8.2 -->
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+  <div id="navrow3" class="tabs2">
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+      <li class="current"><a href="globals.html"><span>All</span></a></li>
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+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
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+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>arm_scale_f32()
+: <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32.c</a>
+, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_math.h</a>
+</li>
+<li>arm_scale_q15()
+: <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_math.h</a>
+, <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_scale_q15.c</a>
+</li>
+<li>arm_scale_q31()
+: <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_scale_q31.c</a>
+, <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_math.h</a>
+</li>
+<li>arm_scale_q7()
+: <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_math.h</a>
+, <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7.c</a>
+</li>
+<li>arm_shift_q15()
+: <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15.c</a>
+, <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_math.h</a>
+</li>
+<li>arm_shift_q31()
+: <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31.c</a>
+, <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_math.h</a>
+</li>
+<li>arm_shift_q7()
+: <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7.c</a>
+, <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_math.h</a>
+</li>
+<li>arm_sin_cos_f32()
+: <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_math.h</a>
+, <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32.c</a>
+</li>
+<li>arm_sin_cos_q31()
+: <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31.c</a>
+, <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_math.h</a>
+</li>
+<li>arm_sin_f32()
+: <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32.c</a>
+, <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_math.h</a>
+</li>
+<li>arm_sin_q15()
+: <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15.c</a>
+, <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_math.h</a>
+</li>
+<li>arm_sin_q31()
+: <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31.c</a>
+, <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_math.h</a>
+</li>
+<li>arm_snr_f32()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_signal_converge_example/ARM/math_helper.h</a>
+</li>
+<li>arm_split_rfft_f32()
+: <a class="el" href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb">arm_rfft_f32.c</a>
+</li>
+<li>arm_split_rfft_q15()
+: <a class="el" href="arm__rfft__q15_8c.html#a7c2a21793586f9a69c42140665550e09">arm_rfft_q15.c</a>
+</li>
+<li>arm_split_rfft_q31()
+: <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_rfft_q31.c</a>
+</li>
+<li>arm_split_rifft_f32()
+: <a class="el" href="arm__rfft__f32_8c.html#a585bef78c103d150a116241a4feb6442">arm_rfft_f32.c</a>
+</li>
+<li>arm_split_rifft_q15()
+: <a class="el" href="arm__rfft__q15_8c.html#aa72a531dd15a53570dddaf01b62158f4">arm_rfft_q15.c</a>
+</li>
+<li>arm_split_rifft_q31()
+: <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_rfft_q31.c</a>
+</li>
+<li>arm_sqrt_f32()
+: <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_math.h</a>
+</li>
+<li>arm_sqrt_q15()
+: <a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15.c</a>
+</li>
+<li>arm_sqrt_q31()
+: <a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31.c</a>
+</li>
+<li>arm_status
+: <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_math.h</a>
+</li>
+<li>arm_std_f32()
+: <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32.c</a>
+, <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_math.h</a>
+</li>
+<li>arm_std_q15()
+: <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15.c</a>
+, <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_math.h</a>
+</li>
+<li>arm_std_q31()
+: <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31.c</a>
+, <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_math.h</a>
+</li>
+<li>arm_sub_f32()
+: <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32.c</a>
+, <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_math.h</a>
+</li>
+<li>arm_sub_q15()
+: <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_sub_q15.c</a>
+, <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_math.h</a>
+</li>
+<li>arm_sub_q31()
+: <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31.c</a>
+, <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_math.h</a>
+</li>
+<li>arm_sub_q7()
+: <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7.c</a>
+, <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_math.h</a>
+</li>
+<li>sinOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">arm_sin_cos_example_f32.c</a>
+</li>
+<li>sinSquareOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">arm_sin_cos_example_f32.c</a>
+</li>
+<li>sinTable_f32
+: <a class="el" href="arm__common__tables_8c.html#a1dec82d596780f1a66ef4f76f137c1d9">arm_common_tables.c</a>
+, <a class="el" href="arm__common__tables_8h.html#a1dec82d596780f1a66ef4f76f137c1d9">arm_common_tables.h</a>
+</li>
+<li>sinTable_q15
+: <a class="el" href="arm__common__tables_8c.html#a9cbcfe313f61add745ebfeddb4fecd55">arm_common_tables.c</a>
+, <a class="el" href="arm__common__tables_8h.html#a9cbcfe313f61add745ebfeddb4fecd55">arm_common_tables.h</a>
+</li>
+<li>sinTable_q31
+: <a class="el" href="arm__common__tables_8h.html#a8bfccee9e1c0042cf4a765f4b19d097d">arm_common_tables.h</a>
+, <a class="el" href="arm__common__tables_8c.html#a8bfccee9e1c0042cf4a765f4b19d097d">arm_common_tables.c</a>
+</li>
+<li>snr
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#af06013f588a7003278de222913c9d819">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af06013f588a7003278de222913c9d819">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__matrix__example__f32_8c.html#af06013f588a7003278de222913c9d819">arm_matrix_example_f32.c</a>
+</li>
+<li>snr1
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">arm_linear_interp_example_f32.c</a>
+</li>
+<li>snr2
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">arm_linear_interp_example_f32.c</a>
+</li>
+<li>SNR_THRESHOLD
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">arm_linear_interp_example_f32.c</a>
+, <a class="el" href="arm__matrix__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">arm_matrix_example_f32.c</a>
+</li>
+<li>SNR_THRESHOLD_F32
+: <a class="el" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>srcA_buf_f32
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">GCC/arm_dotproduct_example_f32.c</a>
+</li>
+<li>srcALen
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>srcB_buf_f32
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">GCC/arm_dotproduct_example_f32.c</a>
+</li>
+<li>srcBLen
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>stage_rfft_f32()
+: <a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">arm_rfft_fast_f32.c</a>
+</li>
+<li>status
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">ARM/arm_dotproduct_example_f32.c</a>
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+</li>
+<li>std
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+</li>
+<li>student_num
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+</li>
+<li>SystemCoreClock
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+</li>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>TABLE_SIZE
+: <a class="el" href="arm__math_8h.html#a032503e76d6f69bc67e99e909c8125da">arm_math.h</a>
+</li>
+<li>TABLE_SPACING_Q15
+: <a class="el" href="arm__math_8h.html#a60b0142af7be007902142add27919b82">arm_math.h</a>
+</li>
+<li>TABLE_SPACING_Q31
+: <a class="el" href="arm__math_8h.html#a8407c9e1347d10e3bcf0a7014f1fb2ff">arm_math.h</a>
+</li>
+<li>TEST_LENGTH_SAMPLES
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_linear_interp_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+<li>test_signal_converge()
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a8f521e839d4fad24a4f12a18dfeae5d4">arm_signal_converge_example_f32.c</a>
+</li>
+<li>test_signal_converge_example()
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#ac786d43cbc17bb09738447034ff8e22e">arm_signal_converge_example_f32.c</a>
+</li>
+<li>testIndex
+: <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+<li>testInput_f32
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#aa4699dc6ee05353c83e0be4e69f6ad05">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__signal__converge__data_8c.html#a898fab3d597516192bb221fb658315cc">arm_signal_converge_data.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#aac98609c83ad8ed2b05c4fd82d2ba59b">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a8b3b7113988efd5bf11a247d07ae39a1">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#a9170ec9e681e2b519fe9c46a30455841">arm_variance_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">arm_graphic_equalizer_data.c</a>
+</li>
+<li>testInput_f32_10khz
+: <a class="el" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">ARM/arm_fft_bin_data.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a3d8ecb82590486ceebccc76263963b16">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">GCC/arm_fft_bin_data.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a3d8ecb82590486ceebccc76263963b16">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+<li>testInput_f32_1kHz_15kHz
+: <a class="el" href="arm__fir__data_8c.html#a143154a165358f0016714cb7f1c83970">arm_fir_data.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#a35d190391c204b677e2839d76ede6e8b">arm_fir_example_f32.c</a>
+</li>
+<li>testInputA_f32
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>testInputB_f32
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>testInputSin_f32
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">arm_linear_interp_example_f32.c</a>
+</li>
+<li>TESTLENGTH
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>testLinIntOutput
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">arm_linear_interp_example_f32.c</a>
+</li>
+<li>testMarks_f32
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>testOutput
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aaaf907bde12051bc8bb5d48b7d315a35">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#aaaf907bde12051bc8bb5d48b7d315a35">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a3293e83a154108a1d398bb042e293894">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">arm_linear_interp_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">arm_sin_cos_example_f32.c</a>
+</li>
+<li>testRefOutput_f32
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__data_8c.html#a32c13cab7708773e0f86a9677e259c64">arm_graphic_equalizer_data.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a9cbbafa975d67bc8ee8ea3260fdd5638">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a8bcb5c1f75ed5f1737e435f0de1850a3">arm_sin_cos_example_f32.c</a>
+</li>
+<li>testRefSinOutput32_f32
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">arm_linear_interp_example_f32.c</a>
+</li>
+<li>testUnity_f32
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a993b9b2a1faf43b319c1c6d58b26e7a1">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>twiddleCoef
+: <a class="el" href="arm__common__tables_8h.html#a9bf8c85e4c91b9b55818b3d650d2c761">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_1024
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga27c056eb130a4333d1cc5dd43ec738b1">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga27c056eb130a4333d1cc5dd43ec738b1">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_1024_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8a0ec95d866fe96b740e77d6e1356b59">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8a0ec95d866fe96b740e77d6e1356b59">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_1024_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga514443c44b62b8b3d240afefebcda310">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga514443c44b62b8b3d240afefebcda310">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_128
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga948433536dafaac1381decfccf4e2d9c">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga948433536dafaac1381decfccf4e2d9c">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_128_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gabfdd1c5cd2b3f96da5fe5f07c707a8e5">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gabfdd1c5cd2b3f96da5fe5f07c707a8e5">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_128_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafecf9ed9873415d9f5f17f37b30c7250">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafecf9ed9873415d9f5f17f37b30c7250">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_16
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae75e243ec61706427314270f222e0c8e">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae75e243ec61706427314270f222e0c8e">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_16_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8e4e2e05f4a3112184c96cb3308d6c39">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8e4e2e05f4a3112184c96cb3308d6c39">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_16_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef4697e1ba348c4ac9358f2b9e279e93">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef4697e1ba348c4ac9358f2b9e279e93">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_2048
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga23e7f30421a7905b21c2015429779633">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga23e7f30421a7905b21c2015429779633">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_2048_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gadd16ce08ffd1048c385e0534a3b19cbb">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gadd16ce08ffd1048c385e0534a3b19cbb">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_2048_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9c5767de9f5a409fd0c2027e6ac67179">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9c5767de9f5a409fd0c2027e6ac67179">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_256
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafe813758a03a798e972359a092315be4">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafe813758a03a798e972359a092315be4">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_256_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6099ae5262a0a3a8d9ce1e6da02f0c2e">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6099ae5262a0a3a8d9ce1e6da02f0c2e">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_256_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef1ea005053b715b851cf5f908168ede">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef1ea005053b715b851cf5f908168ede">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_32
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga78a72c85d88185de98050c930cfc76e3">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga78a72c85d88185de98050c930cfc76e3">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_32_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gac194a4fe04a19051ae1811f69c6e5df2">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gac194a4fe04a19051ae1811f69c6e5df2">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_32_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8ba78d5e6ef4bdc58e8f0044e0664a0a">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8ba78d5e6ef4bdc58e8f0044e0664a0a">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_4096
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae0182d1dd3b2f21aad4e38a815a0bd40">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae0182d1dd3b2f21aad4e38a815a0bd40">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_4096_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">arm_common_tables.c</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">arm_common_tables.h</a>
+</li>
+<li>twiddleCoef_4096_q31
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga67c0890317deab3391e276f22c1fc400">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga67c0890317deab3391e276f22c1fc400">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_512
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gad8830f0c068ab2cc19f2f87d220fa148">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gad8830f0c068ab2cc19f2f87d220fa148">arm_common_tables.c</a>
+</li>
+<li>twiddleCoef_512_q15
+: <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6152621af210f847128c6f38958fa385">arm_common_tables.h</a>
+, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6152621af210f847128c6f38958fa385">arm_common_tables.c</a>
+</li>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div id="navrow3" class="tabs2">
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+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
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+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
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+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
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+      <li class="current"><a href="globals_0x75.html#index_u"><span>u</span></a></li>
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+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
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+
+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
+<li>USE_STATIC_INIT
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a821d6c5973940580f5a045e7cf64b7f2">ARM/arm_class_marks_example_f32.c</a>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+	</li>
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+</html>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
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+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="globals.html#index__"><span>_</span></a></li>
+      <li><a href="globals_0x61.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_0x75.html#index_u"><span>u</span></a></li>
+      <li class="current"><a href="globals_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_0x78.html#index_x"><span>x</span></a></li>
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+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>arm_var_f32()
+: <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32.c</a>
+, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_math.h</a>
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+, <a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_math.h</a>
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+<title>CMSIS-DSP: Globals</title>
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+   <div id="projectname">CMSIS-DSP
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>CONTROLLER_Q31_SHIFT
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+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
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+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af8a1d2ed31f7c9a00fec46a798edb61b">ARM/arm_convolution_example_f32.c</a>
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+<title>Globals</title>
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+      <li><a href="globals_defs.html#index__"><span>_</span></a></li>
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+      <li><a href="globals_defs_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_defs_0x63.html#index_c"><span>c</span></a></li>
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+      <li><a href="globals_defs_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_defs_0x75.html#index_u"><span>u</span></a></li>
+      <li><a href="globals_defs_0x78.html#index_x"><span>x</span></a></li>
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+      <li><a href="globals_func.html"><span>Functions</span></a></li>
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+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
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+: <a class="el" href="arm__math_8h.html#a598a3330b3c21701223ee0ca14316eca">arm_math.h</a>
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+      <li><a href="globals_defs_0x75.html#index_u"><span>u</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SNR_THRESHOLD
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">ARM/arm_convolution_example_f32.c</a>
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+, <a class="el" href="arm__matrix__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">arm_matrix_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#af08ec3fef897d77c6817638bf0e0c5c6">arm_linear_interp_example_f32.c</a>
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+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#af7d1dd4deffa8e7ed6429e5dd0fe1812">arm_fir_example_f32.c</a>
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+      <li><a href="globals_defs_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_defs_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_defs_0x64.html#index_d"><span>d</span></a></li>
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+      <li><a href="globals_defs_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_defs_0x6e.html#index_n"><span>n</span></a></li>
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>TABLE_SIZE
+: <a class="el" href="arm__math_8h.html#a032503e76d6f69bc67e99e909c8125da">arm_math.h</a>
+</li>
+<li>TABLE_SPACING_Q15
+: <a class="el" href="arm__math_8h.html#a60b0142af7be007902142add27919b82">arm_math.h</a>
+</li>
+<li>TABLE_SPACING_Q31
+: <a class="el" href="arm__math_8h.html#a8407c9e1347d10e3bcf0a7014f1fb2ff">arm_math.h</a>
+</li>
+<li>TEST_LENGTH_SAMPLES
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_linear_interp_example_f32.c</a>
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+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">arm_fir_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#abc004a7fade488e72310fd96c0a101dc">GCC/arm_class_marks_example_f32.c</a>
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+</li>
+<li>TESTLENGTH
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a4f4a95eaace4e7b4e2f5243ed24f6b28">arm_graphic_equalizer_example_q31.c</a>
+</li>
+<li>twiddleCoef
+: <a class="el" href="arm__common__tables_8h.html#a9bf8c85e4c91b9b55818b3d650d2c761">arm_common_tables.h</a>
+</li>
+</ul>
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+      <li><a href="globals_defs_0x63.html#index_c"><span>c</span></a></li>
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+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="globals_defs_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_defs_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_defs_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_defs_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_defs_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_defs_0x6e.html#index_n"><span>n</span></a></li>
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+      <li><a href="globals_defs_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_defs_0x75.html#index_u"><span>u</span></a></li>
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+<title>CMSIS-DSP: Globals</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<script type="text/javascript" src="navtree.js"></script>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+ <tbody>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+: <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">arm_math.h</a>
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+<li>ARM_MATH_SIZE_MISMATCH
+: <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">arm_math.h</a>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+$(document).ready(function(){initNavTree('globals_func.html','');});
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>arm_abs_f32()
+: <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_abs_f32.c</a>
+, <a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_math.h</a>
+</li>
+<li>arm_abs_q15()
+: <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_math.h</a>
+, <a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_abs_q15.c</a>
+</li>
+<li>arm_abs_q31()
+: <a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_abs_q31.c</a>
+, <a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_math.h</a>
+</li>
+<li>arm_abs_q7()
+: <a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_math.h</a>
+, <a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_abs_q7.c</a>
+</li>
+<li>arm_add_f32()
+: <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32.c</a>
+, <a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_math.h</a>
+</li>
+<li>arm_add_q15()
+: <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15.c</a>
+, <a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_math.h</a>
+</li>
+<li>arm_add_q31()
+: <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31.c</a>
+, <a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_math.h</a>
+</li>
+<li>arm_add_q7()
+: <a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_math.h</a>
+, <a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_add_q7.c</a>
+</li>
+<li>arm_apply_guard_bits()
+: <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a13580a6ff7a8a68146de727bdf8fba88">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a13580a6ff7a8a68146de727bdf8fba88">arm_convolution_example/ARM/math_helper.c</a>
+</li>
+</ul>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+<!-- Generated by Doxygen 1.8.2 -->
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li class="current"><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_func_0x62.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>arm_bilinear_interp_f32()
+: <a class="el" href="group___bilinear_interpolate.html#gab49a4c0f64854903d996d01ba38f711a">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q15()
+: <a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q31()
+: <a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_math.h</a>
+</li>
+<li>arm_bilinear_interp_q7()
+: <a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_math.h</a>
+</li>
+<li>arm_biquad_cas_df1_32x64_init_q31()
+: <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cascade_df1_32x64_init_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_math.h</a>
+</li>
+<li>arm_biquad_cas_df1_32x64_q31()
+: <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_math.h</a>
+, <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cascade_df1_32x64_q31.c</a>
+</li>
+<li>arm_biquad_cascade_df1_f32()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_fast_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_fast_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_math.h</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32.c</a>
+</li>
+<li>arm_biquad_cascade_df1_init_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_init_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_q15()
+: <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df1_q31()
+: <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31.c</a>
+, <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_f64()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_df2T_init_f64()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_math.h</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64.c</a>
+</li>
+<li>arm_biquad_cascade_stereo_df2T_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32.c</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_math.h</a>
+</li>
+<li>arm_biquad_cascade_stereo_df2T_init_f32()
+: <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_math.h</a>
+, <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32.c</a>
+</li>
+<li>arm_bitreversal_16()
+: <a class="el" href="arm__cfft__q15_8c.html#a773957c278f4d9e728711f27e8a6e278">arm_cfft_q15.c</a>
+</li>
+<li>arm_bitreversal_32()
+: <a class="el" href="arm__cfft__q31_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__f32_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_cfft_f32.c</a>
+</li>
+<li>arm_bitreversal_f32()
+: <a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal.c</a>
+, <a class="el" href="arm__cfft__radix2__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_cfft_radix2_f32.c</a>
+, <a class="el" href="arm__cfft__radix4__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_cfft_radix4_f32.c</a>
+, <a class="el" href="arm__rfft__f32_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_rfft_f32.c</a>
+</li>
+<li>arm_bitreversal_q15()
+: <a class="el" href="arm__cfft__radix2__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_cfft_radix2_q15.c</a>
+, <a class="el" href="arm__cfft__radix4__q15_8c.html#a73f48eaea9297605705ae25d3405343e">arm_cfft_radix4_q15.c</a>
+, <a class="el" href="arm__bitreversal_8c.html#a12a07b49948c354172ae07358309a4a5">arm_bitreversal.c</a>
+</li>
+<li>arm_bitreversal_q31()
+: <a class="el" href="arm__cfft__radix4__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_cfft_radix4_q31.c</a>
+, <a class="el" href="arm__cfft__radix2__q31_8c.html#a3fab577d25c3a517973c8c214f66f268">arm_cfft_radix2_q31.c</a>
+, <a class="el" href="arm__bitreversal_8c.html#a27618705158b5c42db5fb0a381f8efc1">arm_bitreversal.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li class="current"><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
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+</div><!-- top -->
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>arm_calc_2pow()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_convolution_example/ARM/math_helper.c</a>
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+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_graphic_equalizer_example/ARM/math_helper.h</a>
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+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#ace1e1f7b72573d1934782ec999a04f99">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a7c94faac575a175e824d5f9879c97c68">arm_signal_converge_example/ARM/math_helper.h</a>
+</li>
+<li>arm_calc_guard_bits()
+: <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#a60ff6e0b31a5e9105c7280797e457742">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a60ff6e0b31a5e9105c7280797e457742">arm_convolution_example/ARM/math_helper.c</a>
+</li>
+<li>arm_cfft_f32()
+: <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_math.h</a>
+</li>
+<li>arm_cfft_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_math.h</a>
+, <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15.c</a>
+</li>
+<li>arm_cfft_q31()
+: <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_f32()
+: <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_f32()
+: <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_q15()
+: <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15.c</a>
+, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_init_q31()
+: <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31.c</a>
+, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_math.h</a>
+</li>
+<li>arm_cfft_radix2_q15()
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+<li>arm_conv_fast_opt_q15()
+: <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15.c</a>
+, <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_math.h</a>
+</li>
+<li>arm_conv_fast_q15()
+: <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15.c</a>
+, <a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_math.h</a>
+</li>
+<li>arm_conv_fast_q31()
+: <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_math.h</a>
+, <a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_conv_fast_q31.c</a>
+</li>
+<li>arm_conv_opt_q15()
+: <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_math.h</a>
+, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15.c</a>
+</li>
+<li>arm_conv_opt_q7()
+: <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_math.h</a>
+, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7.c</a>
+</li>
+<li>arm_conv_partial_f32()
+: <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga16d10f32072cd79fc5fb6e785df45f5e">arm_conv_partial_f32.c</a>
+</li>
+<li>arm_conv_partial_fast_opt_q15()
+: <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15.c</a>
+</li>
+<li>arm_conv_partial_fast_q15()
+: <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2">arm_conv_partial_fast_q15.c</a>
+</li>
+<li>arm_conv_partial_fast_q31()
+: <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31.c</a>
+</li>
+<li>arm_conv_partial_opt_q15()
+: <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15.c</a>
+</li>
+<li>arm_conv_partial_opt_q7()
+: <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7.c</a>
+, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_math.h</a>
+</li>
+<li>arm_conv_partial_q15()
+: <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15.c</a>
+</li>
+<li>arm_conv_partial_q31()
+: <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31.c</a>
+, <a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_math.h</a>
+</li>
+<li>arm_conv_partial_q7()
+: <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_math.h</a>
+, <a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7.c</a>
+</li>
+<li>arm_conv_q15()
+: <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_math.h</a>
+, <a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15.c</a>
+</li>
+<li>arm_conv_q31()
+: <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_math.h</a>
+, <a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_conv_q31.c</a>
+</li>
+<li>arm_conv_q7()
+: <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_math.h</a>
+, <a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_conv_q7.c</a>
+</li>
+<li>arm_copy_f32()
+: <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_math.h</a>
+, <a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32.c</a>
+</li>
+<li>arm_copy_q15()
+: <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_math.h</a>
+, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15.c</a>
+</li>
+<li>arm_copy_q31()
+: <a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_math.h</a>
+, <a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_copy_q31.c</a>
+</li>
+<li>arm_copy_q7()
+: <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_copy_q7.c</a>
+, <a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_math.h</a>
+</li>
+<li>arm_correlate_f32()
+: <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_correlate_f32.c</a>
+</li>
+<li>arm_correlate_fast_opt_q15()
+: <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15.c</a>
+</li>
+<li>arm_correlate_fast_q15()
+: <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_math.h</a>
+, <a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15.c</a>
+</li>
+<li>arm_correlate_fast_q31()
+: <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_correlate_fast_q31.c</a>
+, <a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_math.h</a>
+</li>
+<li>arm_correlate_opt_q15()
+: <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15.c</a>
+, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_math.h</a>
+</li>
+<li>arm_correlate_opt_q7()
+: <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7.c</a>
+, <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_math.h</a>
+</li>
+<li>arm_correlate_q15()
+: <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15.c</a>
+</li>
+<li>arm_correlate_q31()
+: <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_correlate_q31.c</a>
+, <a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_math.h</a>
+</li>
+<li>arm_correlate_q7()
+: <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_math.h</a>
+, <a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_correlate_q7.c</a>
+</li>
+<li>arm_cos_f32()
+: <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_math.h</a>
+, <a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32.c</a>
+</li>
+<li>arm_cos_q15()
+: <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_math.h</a>
+, <a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15.c</a>
+</li>
+<li>arm_cos_q31()
+: <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31.c</a>
+, <a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_math.h</a>
+</li>
+<li>clip_q31_to_q15()
+: <a class="el" href="arm__math_8h.html#a4af3ca330e14587289518e6565fd04bd">arm_math.h</a>
+</li>
+<li>clip_q31_to_q7()
+: <a class="el" href="arm__math_8h.html#aa9918ce19228b0d4f072fb84776eabc1">arm_math.h</a>
+</li>
+<li>clip_q63_to_q15()
+: <a class="el" href="arm__math_8h.html#aa6f1e5d0d276f42217e75f071ca84a2e">arm_math.h</a>
+</li>
+<li>clip_q63_to_q31()
+: <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li class="current"><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>arm_dct4_f32()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_math.h</a>
+</li>
+<li>arm_dct4_init_f32()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_math.h</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32.c</a>
+</li>
+<li>arm_dct4_init_q15()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_math.h</a>
+</li>
+<li>arm_dct4_init_q31()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_math.h</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31.c</a>
+</li>
+<li>arm_dct4_q15()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_math.h</a>
+</li>
+<li>arm_dct4_q31()
+: <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31.c</a>
+, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_math.h</a>
+</li>
+<li>arm_dot_prod_f32()
+: <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_dot_prod_f32.c</a>
+, <a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_math.h</a>
+</li>
+<li>arm_dot_prod_q15()
+: <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_dot_prod_q15.c</a>
+, <a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_math.h</a>
+</li>
+<li>arm_dot_prod_q31()
+: <a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_math.h</a>
+, <a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_dot_prod_q31.c</a>
+</li>
+<li>arm_dot_prod_q7()
+: <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_math.h</a>
+, <a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_dot_prod_q7.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+	-->
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+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_func_0x66.html b/Documentation/DSP/html/globals_func_0x66.html
new file mode 100644
index 0000000..2b8e304
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+++ b/Documentation/DSP/html/globals_func_0x66.html
@@ -0,0 +1,420 @@
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+       class="ui-resizable-handle">
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+$(document).ready(function(){initNavTree('globals_func_0x66.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>arm_fill_f32()
+: <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32.c</a>
+, <a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_math.h</a>
+</li>
+<li>arm_fill_q15()
+: <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_math.h</a>
+, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15.c</a>
+</li>
+<li>arm_fill_q31()
+: <a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_fill_q31.c</a>
+, <a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_math.h</a>
+</li>
+<li>arm_fill_q7()
+: <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_math.h</a>
+, <a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7.c</a>
+</li>
+<li>arm_fir_decimate_f32()
+: <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_fast_q15()
+: <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_fast_q31()
+: <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_init_f32()
+: <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_math.h</a>
+, <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32.c</a>
+</li>
+<li>arm_fir_decimate_init_q15()
+: <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_init_q31()
+: <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_q15()
+: <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_math.h</a>
+</li>
+<li>arm_fir_decimate_q31()
+: <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31.c</a>
+, <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_math.h</a>
+</li>
+<li>arm_fir_f32()
+: <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32.c</a>
+, <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_math.h</a>
+</li>
+<li>arm_fir_fast_q15()
+: <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15.c</a>
+, <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_math.h</a>
+</li>
+<li>arm_fir_fast_q31()
+: <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31.c</a>
+, <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_math.h</a>
+</li>
+<li>arm_fir_init_f32()
+: <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_math.h</a>
+, <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32.c</a>
+</li>
+<li>arm_fir_init_q15()
+: <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15.c</a>
+, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_math.h</a>
+</li>
+<li>arm_fir_init_q31()
+: <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31.c</a>
+, <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_math.h</a>
+</li>
+<li>arm_fir_init_q7()
+: <a class="el" href="group___f_i_r.html#ga88e48688224d42dc173dbcec702f0c1d">arm_fir_init_q7.c</a>
+, <a class="el" href="group___f_i_r.html#ga88e48688224d42dc173dbcec702f0c1d">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_f32()
+: <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_f32()
+: <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_q15()
+: <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_init_q31()
+: <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_q15()
+: <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_math.h</a>
+</li>
+<li>arm_fir_interpolate_q31()
+: <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31.c</a>
+, <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_f32()
+: <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_f32()
+: <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_q15()
+: <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_fir_lattice_init_q15.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_init_q31()
+: <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_q15()
+: <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15.c</a>
+, <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_math.h</a>
+</li>
+<li>arm_fir_lattice_q31()
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+<li>arm_float_to_q31()
+: <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31.c</a>
+, <a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_math.h</a>
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+<li>arm_float_to_q7()
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+, <a class="el" href="group__float__to__x.html#ga44a393818cdee8dce80f2d66add25411">arm_float_to_q7.c</a>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
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+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>getinput()
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#afd2975c4763ec935771e6f63bfe7758b">arm_signal_converge_example_f32.c</a>
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+ </tr>
+ </tbody>
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+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
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+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li class="current"><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
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+       class="ui-resizable-handle">
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+$(document).ready(function(){initNavTree('globals_func_0x69.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>arm_iir_lattice_f32()
+: <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_init_f32()
+: <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_math.h</a>
+, <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32.c</a>
+</li>
+<li>arm_iir_lattice_init_q15()
+: <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_init_q31()
+: <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_math.h</a>
+, <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31.c</a>
+</li>
+<li>arm_iir_lattice_q15()
+: <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_math.h</a>
+</li>
+<li>arm_iir_lattice_q31()
+: <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31.c</a>
+, <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_math.h</a>
+</li>
+<li>arm_inv_clarke_f32()
+: <a class="el" href="group__inv__clarke.html#ga137f0396d837477b899ecae89f075a50">arm_math.h</a>
+</li>
+<li>arm_inv_clarke_q31()
+: <a class="el" href="group__inv__clarke.html#ga2d0c60f114f095a2f27442d98781ba02">arm_math.h</a>
+</li>
+<li>arm_inv_park_f32()
+: <a class="el" href="group__inv__park.html#gaaf6bef0de21946f774d49df050dd8b05">arm_math.h</a>
+</li>
+<li>arm_inv_park_q31()
+: <a class="el" href="group__inv__park.html#ga0b33822b988a15455773d28440c5579a">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+++ b/Documentation/DSP/html/globals_func_0x6c.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
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+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li class="current"><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
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+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>arm_linear_interp_f32()
+: <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q15()
+: <a class="el" href="group___linear_interpolate.html#ga42c9206e5d2d22b8808716dc30622846">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q31()
+: <a class="el" href="group___linear_interpolate.html#ga690e63e9a513ca0a741b1b174805d031">arm_math.h</a>
+</li>
+<li>arm_linear_interp_q7()
+: <a class="el" href="group___linear_interpolate.html#gacb0d44fe00aca0ba1d036d469a1763fc">arm_math.h</a>
+</li>
+<li>arm_lms_f32()
+: <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32.c</a>
+, <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_math.h</a>
+</li>
+<li>arm_lms_init_f32()
+: <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_math.h</a>
+, <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32.c</a>
+</li>
+<li>arm_lms_init_q15()
+: <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15.c</a>
+, <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_math.h</a>
+</li>
+<li>arm_lms_init_q31()
+: <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31.c</a>
+, <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_math.h</a>
+</li>
+<li>arm_lms_norm_f32()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_math.h</a>
+</li>
+<li>arm_lms_norm_init_f32()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_math.h</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32.c</a>
+</li>
+<li>arm_lms_norm_init_q15()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_math.h</a>
+</li>
+<li>arm_lms_norm_init_q31()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_math.h</a>
+</li>
+<li>arm_lms_norm_q15()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_math.h</a>
+</li>
+<li>arm_lms_norm_q31()
+: <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31.c</a>
+, <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_math.h</a>
+</li>
+<li>arm_lms_q15()
+: <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_math.h</a>
+, <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15.c</a>
+</li>
+<li>arm_lms_q31()
+: <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31.c</a>
+, <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_math.h</a>
+</li>
+</ul>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
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+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li class="current"><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>arm_mat_add_f32()
+: <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32.c</a>
+, <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_math.h</a>
+</li>
+<li>arm_mat_add_q15()
+: <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15.c</a>
+, <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_math.h</a>
+</li>
+<li>arm_mat_add_q31()
+: <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31.c</a>
+, <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_f32()
+: <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_q15()
+: <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_math.h</a>
+</li>
+<li>arm_mat_cmplx_mult_q31()
+: <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31.c</a>
+, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_math.h</a>
+</li>
+<li>arm_mat_init_f32()
+: <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32.c</a>
+, <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_math.h</a>
+</li>
+<li>arm_mat_init_q15()
+: <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15.c</a>
+, <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_math.h</a>
+</li>
+<li>arm_mat_init_q31()
+: <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31.c</a>
+, <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_math.h</a>
+</li>
+<li>arm_mat_inverse_f32()
+: <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32.c</a>
+, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_math.h</a>
+</li>
+<li>arm_mat_inverse_f64()
+: <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64.c</a>
+, <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_math.h</a>
+</li>
+<li>arm_mat_mult_f32()
+: <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32.c</a>
+, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_math.h</a>
+</li>
+<li>arm_mat_mult_fast_q15()
+: <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15.c</a>
+, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_math.h</a>
+</li>
+<li>arm_mat_mult_fast_q31()
+: <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31.c</a>
+, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_math.h</a>
+</li>
+<li>arm_mat_mult_q15()
+: <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15.c</a>
+, <a class="el" href="arm__math_8h.html#a7521d59196189bb6dde26e8cdfb66e21">arm_math.h</a>
+</li>
+<li>arm_mat_mult_q31()
+: <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31.c</a>
+, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_math.h</a>
+</li>
+<li>arm_mat_scale_f32()
+: <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32.c</a>
+, <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_math.h</a>
+</li>
+<li>arm_mat_scale_q15()
+: <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15.c</a>
+, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_math.h</a>
+</li>
+<li>arm_mat_scale_q31()
+: <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31.c</a>
+, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_math.h</a>
+</li>
+<li>arm_mat_sub_f32()
+: <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32.c</a>
+, <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_math.h</a>
+</li>
+<li>arm_mat_sub_q15()
+: <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15.c</a>
+, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_math.h</a>
+</li>
+<li>arm_mat_sub_q31()
+: <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31.c</a>
+, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_math.h</a>
+</li>
+<li>arm_mat_trans_f32()
+: <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32.c</a>
+, <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_math.h</a>
+</li>
+<li>arm_mat_trans_q15()
+: <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_math.h</a>
+, <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15.c</a>
+</li>
+<li>arm_mat_trans_q31()
+: <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31.c</a>
+, <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_math.h</a>
+</li>
+<li>arm_max_f32()
+: <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32.c</a>
+, <a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_math.h</a>
+</li>
+<li>arm_max_q15()
+: <a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_max_q15.c</a>
+, <a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_math.h</a>
+</li>
+<li>arm_max_q31()
+: <a class="el" href="group___max.html#gaff7cbd4e955382def06724cc4cc85795">arm_max_q31.c</a>
+, <a class="el" href="group___max.html#gaff7cbd4e955382def06724cc4cc85795">arm_math.h</a>
+</li>
+<li>arm_max_q7()
+: <a class="el" href="group___max.html#ga6afd64d381b5c232de59163ebfe71e35">arm_max_q7.c</a>
+, <a class="el" href="group___max.html#ga6afd64d381b5c232de59163ebfe71e35">arm_math.h</a>
+</li>
+<li>arm_mean_f32()
+: <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32.c</a>
+, <a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_math.h</a>
+</li>
+<li>arm_mean_q15()
+: <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_mean_q15.c</a>
+, <a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_math.h</a>
+</li>
+<li>arm_mean_q31()
+: <a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_math.h</a>
+, <a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_mean_q31.c</a>
+</li>
+<li>arm_mean_q7()
+: <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_mean_q7.c</a>
+, <a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_math.h</a>
+</li>
+<li>arm_min_f32()
+: <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32.c</a>
+, <a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_math.h</a>
+</li>
+<li>arm_min_q15()
+: <a class="el" href="group___min.html#gad065e37535ebb726750ac1545cb3fa6f">arm_min_q15.c</a>
+, <a class="el" href="group___min.html#gad065e37535ebb726750ac1545cb3fa6f">arm_math.h</a>
+</li>
+<li>arm_min_q31()
+: <a class="el" href="group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303">arm_math.h</a>
+, <a class="el" href="group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303">arm_min_q31.c</a>
+</li>
+<li>arm_min_q7()
+: <a class="el" href="group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed">arm_math.h</a>
+, <a class="el" href="group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed">arm_min_q7.c</a>
+</li>
+<li>arm_mult_f32()
+: <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_math.h</a>
+, <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32.c</a>
+</li>
+<li>arm_mult_q15()
+: <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15.c</a>
+, <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_math.h</a>
+</li>
+<li>arm_mult_q31()
+: <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_math.h</a>
+, <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31.c</a>
+</li>
+<li>arm_mult_q7()
+: <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_math.h</a>
+, <a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7.c</a>
+</li>
+<li>main()
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_variance_example_f32.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_linear_interp_example_f32.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_matrix_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">arm_fir_example_f32.c</a>
+</li>
+<li>merge_rfft_f32()
+: <a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">arm_rfft_fast_f32.c</a>
+</li>
+<li>mult32x64()
+: <a class="el" href="arm__math_8h.html#a642a29d71f7951a7f6c0b797c300b711">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_func_0x6e.html b/Documentation/DSP/html/globals_func_0x6e.html
new file mode 100644
index 0000000..f8c30fc
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
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+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_func_0x6e.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>arm_negate_f32()
+: <a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_negate_f32.c</a>
+, <a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_math.h</a>
+</li>
+<li>arm_negate_q15()
+: <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_math.h</a>
+, <a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15.c</a>
+</li>
+<li>arm_negate_q31()
+: <a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_negate_q31.c</a>
+, <a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_math.h</a>
+</li>
+<li>arm_negate_q7()
+: <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_math.h</a>
+, <a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(initResizable);
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+    <ul class="tablist">
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+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
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+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
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+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
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+<iframe src="javascript:void(0)" frameborder="0" 
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+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>arm_offset_f32()
+: <a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_offset_f32.c</a>
+, <a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_math.h</a>
+</li>
+<li>arm_offset_q15()
+: <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_math.h</a>
+, <a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_offset_q15.c</a>
+</li>
+<li>arm_offset_q31()
+: <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_offset_q31.c</a>
+, <a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_math.h</a>
+</li>
+<li>arm_offset_q7()
+: <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_math.h</a>
+, <a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_func_0x70.html b/Documentation/DSP/html/globals_func_0x70.html
new file mode 100644
index 0000000..ec2f065
--- /dev/null
+++ b/Documentation/DSP/html/globals_func_0x70.html
@@ -0,0 +1,256 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+      <div id="nav-sync" class="sync"></div>
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+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>arm_park_f32()
+: <a class="el" href="group__park.html#ga08b3a683197de7e143fb00497787683c">arm_math.h</a>
+</li>
+<li>arm_park_q31()
+: <a class="el" href="group__park.html#gaf4cc6370c0cfc14ea66774ed3c5bb10f">arm_math.h</a>
+</li>
+<li>arm_pid_f32()
+: <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_math.h</a>
+</li>
+<li>arm_pid_init_f32()
+: <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32.c</a>
+, <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_math.h</a>
+</li>
+<li>arm_pid_init_q15()
+: <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15.c</a>
+, <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_math.h</a>
+</li>
+<li>arm_pid_init_q31()
+: <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31.c</a>
+, <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_math.h</a>
+</li>
+<li>arm_pid_q15()
+: <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_math.h</a>
+</li>
+<li>arm_pid_q31()
+: <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_math.h</a>
+</li>
+<li>arm_pid_reset_f32()
+: <a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_pid_reset_f32.c</a>
+, <a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_math.h</a>
+</li>
+<li>arm_pid_reset_q15()
+: <a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_pid_reset_q15.c</a>
+, <a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_math.h</a>
+</li>
+<li>arm_pid_reset_q31()
+: <a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_pid_reset_q31.c</a>
+, <a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_math.h</a>
+</li>
+<li>arm_power_f32()
+: <a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_power_f32.c</a>
+, <a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_math.h</a>
+</li>
+<li>arm_power_q15()
+: <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_power_q15.c</a>
+, <a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_math.h</a>
+</li>
+<li>arm_power_q31()
+: <a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_power_q31.c</a>
+, <a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_math.h</a>
+</li>
+<li>arm_power_q7()
+: <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_power_q7.c</a>
+, <a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_math.h</a>
+</li>
+<li>arm_provide_guard_bits_q15()
+: <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#ac8209be1b8081e833c3ec2e85ad2255b">arm_fir_example/ARM/math_helper.c</a>
+</li>
+<li>arm_provide_guard_bits_q31()
+: <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#aead320f821f927000386d9d7d5ad6d27">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aead320f821f927000386d9d7d5ad6d27">arm_linear_interp_example/ARM/math_helper.c</a>
+</li>
+<li>arm_provide_guard_bits_q7()
+: <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#a392f7c2e7ab9bb58931c4efb56693029">arm_convolution_example/GCC/math_helper.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li class="current"><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>arm_q15_to_float()
+: <a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_q15_to_float.c</a>
+, <a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_math.h</a>
+</li>
+<li>arm_q15_to_q31()
+: <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_math.h</a>
+, <a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_q15_to_q31.c</a>
+</li>
+<li>arm_q15_to_q7()
+: <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_q15_to_q7.c</a>
+, <a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_math.h</a>
+</li>
+<li>arm_q31_to_float()
+: <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_math.h</a>
+, <a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_q31_to_float.c</a>
+</li>
+<li>arm_q31_to_q15()
+: <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_q31_to_q15.c</a>
+, <a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_math.h</a>
+</li>
+<li>arm_q31_to_q7()
+: <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7.c</a>
+, <a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_math.h</a>
+</li>
+<li>arm_q7_to_float()
+: <a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_q7_to_float.c</a>
+, <a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_math.h</a>
+</li>
+<li>arm_q7_to_q15()
+: <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_math.h</a>
+, <a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_q7_to_q15.c</a>
+</li>
+<li>arm_q7_to_q31()
+: <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_math.h</a>
+, <a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_q7_to_q31.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/globals_func_0x72.html b/Documentation/DSP/html/globals_func_0x72.html
new file mode 100644
index 0000000..dde6cea
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+++ b/Documentation/DSP/html/globals_func_0x72.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li class="current"><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_func.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_func_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_func_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_func_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_func_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_func_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_func_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_func_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_func_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_func_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_func_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_func_0x70.html#index_p"><span>p</span></a></li>
+      <li><a href="globals_func_0x71.html#index_q"><span>q</span></a></li>
+      <li class="current"><a href="globals_func_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_func_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_func_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_func_0x76.html#index_v"><span>v</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+    </div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_func_0x72.html','');});
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+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>arm_radix2_butterfly_f32()
+: <a class="el" href="arm__cfft__radix2__f32_8c.html#a04631e102b5209af3402b225b1abe868">arm_cfft_radix2_f32.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_f32()
+: <a class="el" href="arm__cfft__radix2__f32_8c.html#abda34af152e515a95ac38470ac053b77">arm_cfft_radix2_f32.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_q15()
+: <a class="el" href="arm__cfft__radix2__q15_8c.html#a91ff93fa10757b3872680fec4835c412">arm_cfft_radix2_q15.c</a>
+</li>
+<li>arm_radix2_butterfly_inverse_q31()
+: <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_cfft_radix2_q31.c</a>
+</li>
+<li>arm_radix2_butterfly_q15()
+: <a class="el" href="arm__cfft__radix2__q15_8c.html#a521780ba2fd3450cbf02784e38859699">arm_cfft_radix2_q15.c</a>
+</li>
+<li>arm_radix2_butterfly_q31()
+: <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_cfft_radix2_q31.c</a>
+</li>
+<li>arm_radix4_butterfly_f32()
+: <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_rfft_f32.c</a>
+, <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_cfft_radix4_f32.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_f32()
+: <a class="el" href="arm__cfft__radix4__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_cfft_radix4_f32.c</a>
+, <a class="el" href="arm__rfft__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_rfft_f32.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_q15()
+: <a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_cfft_q15.c</a>
+, <a class="el" href="arm__cfft__radix4__q15_8c.html#aad04e8439d17dab5617bf1be268bb391">arm_cfft_radix4_q15.c</a>
+</li>
+<li>arm_radix4_butterfly_inverse_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__radix4__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_cfft_radix4_q31.c</a>
+</li>
+<li>arm_radix4_butterfly_q15()
+: <a class="el" href="arm__cfft__radix4__q15_8c.html#a2d01d2045f280c32036da97d33c52440">arm_cfft_radix4_q15.c</a>
+, <a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_cfft_q15.c</a>
+</li>
+<li>arm_radix4_butterfly_q31()
+: <a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_cfft_q31.c</a>
+, <a class="el" href="arm__cfft__radix4__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_cfft_radix4_q31.c</a>
+</li>
+<li>arm_radix8_butterfly_f32()
+: <a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_cfft_f32.c</a>
+, <a class="el" href="arm__cfft__radix8__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_cfft_radix8_f32.c</a>
+</li>
+<li>arm_recip_q15()
+: <a class="el" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7">arm_math.h</a>
+</li>
+<li>arm_recip_q31()
+: <a class="el" href="arm__math_8h.html#a43140f04ca94c2a7394e7a222e2d8fb4">arm_math.h</a>
+</li>
+<li>arm_rfft_f32()
+: <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_math.h</a>
+</li>
+<li>arm_rfft_fast_f32()
+: <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_math.h</a>
+</li>
+<li>arm_rfft_fast_init_f32()
+: <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_math.h</a>
+</li>
+<li>arm_rfft_init_f32()
+: <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_math.h</a>
+</li>
+<li>arm_rfft_init_q15()
+: <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_math.h</a>
+, <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15.c</a>
+</li>
+<li>arm_rfft_init_q31()
+: <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31.c</a>
+, <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_math.h</a>
+</li>
+<li>arm_rfft_q15()
+: <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_math.h</a>
+, <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15.c</a>
+</li>
+<li>arm_rfft_q31()
+: <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31.c</a>
+, <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_math.h</a>
+</li>
+<li>arm_rms_f32()
+: <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32.c</a>
+, <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_math.h</a>
+</li>
+<li>arm_rms_q15()
+: <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_math.h</a>
+, <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15.c</a>
+</li>
+<li>arm_rms_q31()
+: <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_math.h</a>
+, <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+&#160;
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>arm_scale_f32()
+: <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32.c</a>
+, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_math.h</a>
+</li>
+<li>arm_scale_q15()
+: <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_math.h</a>
+, <a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_scale_q15.c</a>
+</li>
+<li>arm_scale_q31()
+: <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_scale_q31.c</a>
+, <a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_math.h</a>
+</li>
+<li>arm_scale_q7()
+: <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_math.h</a>
+, <a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7.c</a>
+</li>
+<li>arm_shift_q15()
+: <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15.c</a>
+, <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_math.h</a>
+</li>
+<li>arm_shift_q31()
+: <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31.c</a>
+, <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_math.h</a>
+</li>
+<li>arm_shift_q7()
+: <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7.c</a>
+, <a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_math.h</a>
+</li>
+<li>arm_sin_cos_f32()
+: <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_math.h</a>
+, <a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32.c</a>
+</li>
+<li>arm_sin_cos_q31()
+: <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31.c</a>
+, <a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_math.h</a>
+</li>
+<li>arm_sin_f32()
+: <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32.c</a>
+, <a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_math.h</a>
+</li>
+<li>arm_sin_q15()
+: <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15.c</a>
+, <a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_math.h</a>
+</li>
+<li>arm_sin_q31()
+: <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31.c</a>
+, <a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_math.h</a>
+</li>
+<li>arm_snr_f32()
+: <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_graphic_equalizer_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_linear_interp_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_linear_interp_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_matrix_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_matrix_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_signal_converge_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_signal_converge_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/GCC/math_helper.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_convolution_example/GCC/math_helper.h</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_fir_example/ARM/math_helper.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2math__helper_8h.html#aeea2952e70a1040a6efa555564bbeeab">arm_fir_example/ARM/math_helper.h</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2math__helper_8c.html#aeea2952e70a1040a6efa555564bbeeab">arm_graphic_equalizer_example/ARM/math_helper.c</a>
+</li>
+<li>arm_split_rfft_f32()
+: <a class="el" href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb">arm_rfft_f32.c</a>
+</li>
+<li>arm_split_rfft_q15()
+: <a class="el" href="arm__rfft__q15_8c.html#a7c2a21793586f9a69c42140665550e09">arm_rfft_q15.c</a>
+</li>
+<li>arm_split_rfft_q31()
+: <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_rfft_q31.c</a>
+</li>
+<li>arm_split_rifft_f32()
+: <a class="el" href="arm__rfft__f32_8c.html#a585bef78c103d150a116241a4feb6442">arm_rfft_f32.c</a>
+</li>
+<li>arm_split_rifft_q15()
+: <a class="el" href="arm__rfft__q15_8c.html#aa72a531dd15a53570dddaf01b62158f4">arm_rfft_q15.c</a>
+</li>
+<li>arm_split_rifft_q31()
+: <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_rfft_q31.c</a>
+</li>
+<li>arm_sqrt_f32()
+: <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_math.h</a>
+</li>
+<li>arm_sqrt_q15()
+: <a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15.c</a>
+</li>
+<li>arm_sqrt_q31()
+: <a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31.c</a>
+</li>
+<li>arm_std_f32()
+: <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32.c</a>
+, <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_math.h</a>
+</li>
+<li>arm_std_q15()
+: <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15.c</a>
+, <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_math.h</a>
+</li>
+<li>arm_std_q31()
+: <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31.c</a>
+, <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_math.h</a>
+</li>
+<li>arm_sub_f32()
+: <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32.c</a>
+, <a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_math.h</a>
+</li>
+<li>arm_sub_q15()
+: <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_sub_q15.c</a>
+, <a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_math.h</a>
+</li>
+<li>arm_sub_q31()
+: <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31.c</a>
+, <a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_math.h</a>
+</li>
+<li>arm_sub_q7()
+: <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7.c</a>
+, <a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_math.h</a>
+</li>
+<li>stage_rfft_f32()
+: <a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">arm_rfft_fast_f32.c</a>
+</li>
+<li>SystemCoreClockUpdate()
+: <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_sin_cos_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/GCC/Startup/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/GCC/Startup/system_ARMCM3.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_signal_converge_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_class_marks_example/GCC/Startup/system_ARMCM4.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_matrix_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/GCC/Startup/system_ARMCM0.c</a>
+, <a class="el" href="arm__convolution__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#ae0c36a9591fe6e9c45ecb21a794f0f0f">arm_convolution_example/GCC/Startup/system_ARMCM3.c</a>
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+<li>SystemInit()
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+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>test_signal_converge()
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#a8f521e839d4fad24a4f12a18dfeae5d4">arm_signal_converge_example_f32.c</a>
+</li>
+<li>test_signal_converge_example()
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+&#160;
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>arm_var_f32()
+: <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32.c</a>
+, <a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_math.h</a>
+</li>
+<li>arm_var_q15()
+: <a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_math.h</a>
+, <a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_var_q15.c</a>
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+<li>arm_var_q31()
+: <a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_math.h</a>
+, <a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_var_q31.c</a>
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+<div class="contents">
+&#160;<ul>
+<li>float32_t
+: <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">arm_math.h</a>
+</li>
+<li>float64_t
+: <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">arm_math.h</a>
+</li>
+<li>q15_t
+: <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">arm_math.h</a>
+</li>
+<li>q31_t
+: <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">arm_math.h</a>
+</li>
+<li>q63_t
+: <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">arm_math.h</a>
+</li>
+<li>q7_t
+: <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">arm_math.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+      <li><a href="globals_vars_0x66.html#index_f"><span>f</span></a></li>
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+      <li><a href="globals_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_vars_0x6d.html#index_m"><span>m</span></a></li>
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+      <li><a href="globals_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_vars_0x76.html#index_v"><span>v</span></a></li>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
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+      <li><a href="globals_vars.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_vars_0x62.html#index_b"><span>b</span></a></li>
+      <li class="current"><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_vars_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_vars_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_vars_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_vars_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_vars_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li><a href="globals_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_vars_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_vars_0x77.html#index_w"><span>w</span></a></li>
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+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_vars_0x64.html#index_d"><span>d</span></a></li>
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+      <li><a href="globals_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_vars_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_vars_0x6d.html#index_m"><span>m</span></a></li>
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+&#160;
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>err_signal
+: <a class="el" href="arm__signal__converge__example__f32_8c.html#ae6bcc00ea126543ab33d6174549eacda">arm_signal_converge_example_f32.c</a>
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+   <div id="projectname">CMSIS-DSP
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+      <li><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
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+      <li><a href="globals_vars_0x6d.html#index_m"><span>m</span></a></li>
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+      <li><a href="globals_vars_0x72.html#index_r"><span>r</span></a></li>
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+      <li><a href="globals_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_vars_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_vars_0x77.html#index_w"><span>w</span></a></li>
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+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gainDB
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a963aee85bb41a50fc943ac9048d123ab">arm_graphic_equalizer_example_q31.c</a>
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+      <li><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_vars_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_vars_0x67.html#index_g"><span>g</span></a></li>
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+<li>outputQ31
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a9862488450f2547b07aee8035d6b4d8a">arm_graphic_equalizer_example_q31.c</a>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+</li>
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+</li>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+      <li><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
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+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>sinOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a1e232694019f6b61710fbff5ee27126c">arm_sin_cos_example_f32.c</a>
+</li>
+<li>sinSquareOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#aa5a66e866ebb91eb971f2805209e9d36">arm_sin_cos_example_f32.c</a>
+</li>
+<li>sinTable_f32
+: <a class="el" href="arm__common__tables_8h.html#a1dec82d596780f1a66ef4f76f137c1d9">arm_common_tables.h</a>
+, <a class="el" href="arm__common__tables_8c.html#a1dec82d596780f1a66ef4f76f137c1d9">arm_common_tables.c</a>
+</li>
+<li>sinTable_q15
+: <a class="el" href="arm__common__tables_8c.html#a9cbcfe313f61add745ebfeddb4fecd55">arm_common_tables.c</a>
+, <a class="el" href="arm__common__tables_8h.html#a9cbcfe313f61add745ebfeddb4fecd55">arm_common_tables.h</a>
+</li>
+<li>sinTable_q31
+: <a class="el" href="arm__common__tables_8h.html#a8bfccee9e1c0042cf4a765f4b19d097d">arm_common_tables.h</a>
+, <a class="el" href="arm__common__tables_8c.html#a8bfccee9e1c0042cf4a765f4b19d097d">arm_common_tables.c</a>
+</li>
+<li>snr
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#af06013f588a7003278de222913c9d819">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#af06013f588a7003278de222913c9d819">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#af06013f588a7003278de222913c9d819">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__matrix__example__f32_8c.html#af06013f588a7003278de222913c9d819">arm_matrix_example_f32.c</a>
+</li>
+<li>snr1
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#ad492c21cf2dd4e9199ae46c77f812cbc">arm_linear_interp_example_f32.c</a>
+</li>
+<li>snr2
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a269948ab25f230d33e3f22eab85aa1cf">arm_linear_interp_example_f32.c</a>
+</li>
+<li>srcA_buf_f32
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a0c248a472fdc0507e4ab7d693e4876b6">GCC/arm_dotproduct_example_f32.c</a>
+</li>
+<li>srcALen
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>srcB_buf_f32
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a67d9082c1585d4854ae9ca38db170ff5">GCC/arm_dotproduct_example_f32.c</a>
+</li>
+<li>srcBLen
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>status
+: <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">arm_sin_cos_example_f32.c</a>
+</li>
+<li>std
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a150b0cf729b51893379f5b5548d4f989">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>student_num
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a798cf43a3725d7df2fcaf3f328969f53">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>SystemCoreClock
+: <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/GCC/Startup/system_ARMCM3.c</a>
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+, <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__fft__bin__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/GCC/Startup/system_ARMCM4.c</a>
+, <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/GCC/Startup/system_ARMCM3.c</a>
+, <a class="el" href="arm__dotproduct__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/GCC/Startup/system_ARMCM0.c</a>
+, <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__dotproduct__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_dotproduct_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
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+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_convolution_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_convolution_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__convolution__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_convolution_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/GCC/Startup/system_ARMCM4.c</a>
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+, <a class="el" href="arm__class__marks__example_2_g_c_c_2_startup_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/GCC/Startup/system_ARMCM0.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__class__marks__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_class_marks_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_signal_converge_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_matrix_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_sin_cos_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_sin_cos_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_signal_converge_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_variance_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_linear_interp_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_sin_cos_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_signal_converge_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_variance_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_matrix_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_variance_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__sin__cos__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_sin_cos_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__variance__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_variance_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m3_2system___a_r_m_c_m3_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fir_example/ARM/RTE/Device/ARMCM3/system_ARMCM3.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fir_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_matrix_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_linear_interp_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_linear_interp_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__matrix__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_matrix_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__signal__converge__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_signal_converge_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m0_2system___a_r_m_c_m0_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fir_example/ARM/RTE/Device/ARMCM0/system_ARMCM0.c</a>
+, <a class="el" href="arm__fir__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fir_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__linear__interp__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m7___s_p_2system___a_r_m_c_m7_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_linear_interp_example/ARM/RTE/Device/ARMCM7_SP/system_ARMCM7.c</a>
+, <a class="el" href="arm__fft__bin__example_2_g_c_c_2_startup_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_fft_bin_example/GCC/Startup/system_ARMCM4.c</a>
+, <a class="el" href="arm__graphic__equalizer__example_2_a_r_m_2_r_t_e_2_device_2_a_r_m_c_m4___f_p_2system___a_r_m_c_m4_8c.html#aa3cd3e43291e81e795d642b79b6088e6">arm_graphic_equalizer_example/ARM/RTE/Device/ARMCM4_FP/system_ARMCM4.c</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/globals_vars_0x74.html b/Documentation/DSP/html/globals_vars_0x74.html
new file mode 100644
index 0000000..8f00461
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+		writeComponentTabs.call(this);
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="globals_vars.html#index_a"><span>a</span></a></li>
+      <li><a href="globals_vars_0x62.html#index_b"><span>b</span></a></li>
+      <li><a href="globals_vars_0x63.html#index_c"><span>c</span></a></li>
+      <li><a href="globals_vars_0x64.html#index_d"><span>d</span></a></li>
+      <li><a href="globals_vars_0x65.html#index_e"><span>e</span></a></li>
+      <li><a href="globals_vars_0x66.html#index_f"><span>f</span></a></li>
+      <li><a href="globals_vars_0x67.html#index_g"><span>g</span></a></li>
+      <li><a href="globals_vars_0x69.html#index_i"><span>i</span></a></li>
+      <li><a href="globals_vars_0x6c.html#index_l"><span>l</span></a></li>
+      <li><a href="globals_vars_0x6d.html#index_m"><span>m</span></a></li>
+      <li><a href="globals_vars_0x6e.html#index_n"><span>n</span></a></li>
+      <li><a href="globals_vars_0x6f.html#index_o"><span>o</span></a></li>
+      <li><a href="globals_vars_0x72.html#index_r"><span>r</span></a></li>
+      <li><a href="globals_vars_0x73.html#index_s"><span>s</span></a></li>
+      <li class="current"><a href="globals_vars_0x74.html#index_t"><span>t</span></a></li>
+      <li><a href="globals_vars_0x76.html#index_v"><span>v</span></a></li>
+      <li><a href="globals_vars_0x77.html#index_w"><span>w</span></a></li>
+      <li><a href="globals_vars_0x78.html#index_x"><span>x</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>testIndex
+: <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a4a391651dbb95db35ccba70fc4f9e049">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+<li>testInput_f32
+: <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#aa4699dc6ee05353c83e0be4e69f6ad05">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__variance__example__f32_8c.html#a9170ec9e681e2b519fe9c46a30455841">arm_variance_example_f32.c</a>
+, <a class="el" href="arm__signal__converge__data_8c.html#a898fab3d597516192bb221fb658315cc">arm_signal_converge_data.c</a>
+, <a class="el" href="arm__graphic__equalizer__data_8c.html#a987ef9f3767fa5e083bcf2dd1efed05c">arm_graphic_equalizer_data.c</a>
+, <a class="el" href="arm__signal__converge__example__f32_8c.html#aac98609c83ad8ed2b05c4fd82d2ba59b">arm_signal_converge_example_f32.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a8b3b7113988efd5bf11a247d07ae39a1">arm_sin_cos_example_f32.c</a>
+</li>
+<li>testInput_f32_10khz
+: <a class="el" href="_a_r_m_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">ARM/arm_fft_bin_data.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a3d8ecb82590486ceebccc76263963b16">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__data_8c.html#a8a12a8ec4b866be84f4b7d3daf6a1242">GCC/arm_fft_bin_data.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a3d8ecb82590486ceebccc76263963b16">GCC/arm_fft_bin_example_f32.c</a>
+</li>
+<li>testInput_f32_1kHz_15kHz
+: <a class="el" href="arm__fir__data_8c.html#a143154a165358f0016714cb7f1c83970">arm_fir_data.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#a35d190391c204b677e2839d76ede6e8b">arm_fir_example_f32.c</a>
+</li>
+<li>testInputA_f32
+: <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7db2f016e1afcb524a2fdc3c5a3cb640">ARM/arm_convolution_example_f32.c</a>
+</li>
+<li>testInputB_f32
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#acb22287e7e096b677e352dfd363ba60d">GCC/arm_convolution_example_f32.c</a>
+</li>
+<li>testInputSin_f32
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a4be0c4d25e63ce04b8cc8ad070805287">arm_linear_interp_example_f32.c</a>
+</li>
+<li>testLinIntOutput
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a8ca7d0ad6e04efed464bcaacedacf925">arm_linear_interp_example_f32.c</a>
+</li>
+<li>testMarks_f32
+: <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#a0153222efa82b7f1a0ea3835921bf921">GCC/arm_class_marks_example_f32.c</a>
+</li>
+<li>testOutput
+: <a class="el" href="arm__sin__cos__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">arm_sin_cos_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">ARM/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__class__marks__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">GCC/arm_class_marks_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">ARM/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__dotproduct__example__f32_8c.html#a324833b61eae796082e07d078a67c34f">GCC/arm_dotproduct_example_f32.c</a>
+, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#aaaf907bde12051bc8bb5d48b7d315a35">ARM/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#aaaf907bde12051bc8bb5d48b7d315a35">GCC/arm_fft_bin_example_f32.c</a>
+, <a class="el" href="arm__fir__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">arm_fir_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a3293e83a154108a1d398bb042e293894">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__linear__interp__example__f32_8c.html#afd4d61aad5f35a4e42d580004e2f9a1d">arm_linear_interp_example_f32.c</a>
+</li>
+<li>testRefOutput_f32
+: <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">ARM/arm_convolution_example_f32.c</a>
+, <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#a7ede41b07b8766013744c8fdbb80af75">GCC/arm_convolution_example_f32.c</a>
+, <a class="el" href="arm__graphic__equalizer__data_8c.html#a32c13cab7708773e0f86a9677e259c64">arm_graphic_equalizer_data.c</a>
+, <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a9cbbafa975d67bc8ee8ea3260fdd5638">arm_graphic_equalizer_example_q31.c</a>
+, <a class="el" href="arm__sin__cos__example__f32_8c.html#a8bcb5c1f75ed5f1737e435f0de1850a3">arm_sin_cos_example_f32.c</a>
+</li>
+<li>testRefSinOutput32_f32
+: <a class="el" href="arm__linear__interp__example__f32_8c.html#a5a33218d422603f3e5267b6984bdddd1">arm_linear_interp_example_f32.c</a>
+</li>
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+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Globals</title>
+<title>CMSIS-DSP: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="globals_vars_0x6e.html#index_n"><span>n</span></a></li>
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_x"></a>- x -</h3><ul>
+<li>X_f32
+: <a class="el" href="arm__matrix__example__f32_8c.html#a98c67c0fc0cb5f2df51b21482d31d21c">arm_matrix_example_f32.c</a>
+</li>
+<li>xRef_f32
+: <a class="el" href="arm__matrix__example__f32_8c.html#a6184758419722fa16bb883097c2f596b">arm_matrix_example_f32.c</a>
+</li>
+</ul>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Absolute Value</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga421b6275f9d35f50286c0ff3beceff02"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02">arm_abs_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga421b6275f9d35f50286c0ff3beceff02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector absolute value.  <a href="#ga421b6275f9d35f50286c0ff3beceff02"></a><br/></td></tr>
+<tr class="separator:ga421b6275f9d35f50286c0ff3beceff02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga39f92964c9b649ba252e26ebe7b95594"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594">arm_abs_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga39f92964c9b649ba252e26ebe7b95594"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 vector absolute value.  <a href="#ga39f92964c9b649ba252e26ebe7b95594"></a><br/></td></tr>
+<tr class="separator:ga39f92964c9b649ba252e26ebe7b95594"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga59eafcdcdb52da60d37f20aec6ff4577"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577">arm_abs_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga59eafcdcdb52da60d37f20aec6ff4577"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 vector absolute value.  <a href="#ga59eafcdcdb52da60d37f20aec6ff4577"></a><br/></td></tr>
+<tr class="separator:ga59eafcdcdb52da60d37f20aec6ff4577"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadc30985e33fbf96802a5a7954dece3b1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1">arm_abs_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gadc30985e33fbf96802a5a7954dece3b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 vector absolute value.  <a href="#gadc30985e33fbf96802a5a7954dece3b1"></a><br/></td></tr>
+<tr class="separator:gadc30985e33fbf96802a5a7954dece3b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the absolute value of a vector on an element-by-element basis.</p>
+<pre>        
+    pDst[n] = abs(pSrc[n]),   0 &lt;= n &lt; blockSize.        
+</pre><p>The functions support in-place computation allowing the source and destination pointers to reference the same memory buffer. There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga421b6275f9d35f50286c0ff3beceff02"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_abs_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a32">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga39f92964c9b649ba252e26ebe7b95594"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_abs_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a1185d670d798aaf52eec13f0403f3407">__SIMD32_CONST</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga59eafcdcdb52da60d37f20aec6ff4577"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_abs_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadc30985e33fbf96802a5a7954dece3b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_abs_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Conditions for optimum performance </dt><dd>Input and output buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+var group___basic_abs =
+[
+    [ "arm_abs_f32", "group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02", null ],
+    [ "arm_abs_q15", "group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594", null ],
+    [ "arm_abs_q31", "group___basic_abs.html#ga59eafcdcdb52da60d37f20aec6ff4577", null ],
+    [ "arm_abs_q7", "group___basic_abs.html#gadc30985e33fbf96802a5a7954dece3b1", null ]
+];
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+<title>Vector Addition</title>
+<title>CMSIS-DSP: Vector Addition</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___basic_add.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Addition</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga6a904a547413b10565dd1d251c6bafbd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd">arm_add_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga6a904a547413b10565dd1d251c6bafbd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector addition.  <a href="#ga6a904a547413b10565dd1d251c6bafbd"></a><br/></td></tr>
+<tr class="separator:ga6a904a547413b10565dd1d251c6bafbd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabb51285a41f511670bbff62fc0e1bf62"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62">arm_add_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gabb51285a41f511670bbff62fc0e1bf62"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 vector addition.  <a href="#gabb51285a41f511670bbff62fc0e1bf62"></a><br/></td></tr>
+<tr class="separator:gabb51285a41f511670bbff62fc0e1bf62"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga24d6c3f7f8b9fae4847c0c3f26a39a3b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b">arm_add_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga24d6c3f7f8b9fae4847c0c3f26a39a3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 vector addition.  <a href="#ga24d6c3f7f8b9fae4847c0c3f26a39a3b"></a><br/></td></tr>
+<tr class="separator:ga24d6c3f7f8b9fae4847c0c3f26a39a3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaed633f415a7840a66861debca2dfb96b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_add.html#gaed633f415a7840a66861debca2dfb96b">arm_add_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaed633f415a7840a66861debca2dfb96b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 vector addition.  <a href="#gaed633f415a7840a66861debca2dfb96b"></a><br/></td></tr>
+<tr class="separator:gaed633f415a7840a66861debca2dfb96b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Element-by-element addition of two vectors.</p>
+<pre>        
+    pDst[n] = pSrcA[n] + pSrcB[n],   0 &lt;= n &lt; blockSize.        
+</pre><p>There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga6a904a547413b10565dd1d251c6bafbd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_add_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a9">arm_dotproduct_example_f32.c</a>, and <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a14">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabb51285a41f511670bbff62fc0e1bf62"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_add_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga24d6c3f7f8b9fae4847c0c3f26a39a3b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_add_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaed633f415a7840a66861debca2dfb96b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_add_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+var group___basic_add =
+[
+    [ "arm_add_f32", "group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd", null ],
+    [ "arm_add_q15", "group___basic_add.html#gabb51285a41f511670bbff62fc0e1bf62", null ],
+    [ "arm_add_q31", "group___basic_add.html#ga24d6c3f7f8b9fae4847c0c3f26a39a3b", null ],
+    [ "arm_add_q7", "group___basic_add.html#gaed633f415a7840a66861debca2dfb96b", null ]
+];
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Multiplication</title>
+<title>CMSIS-DSP: Vector Multiplication</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+          </span><span class="right">
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+       class="ui-resizable-handle">
+  </div>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___basic_mult.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Multiplication</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaca3f0b8227da431ab29225b88888aa32"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaca3f0b8227da431ab29225b88888aa32"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector multiplication.  <a href="#gaca3f0b8227da431ab29225b88888aa32"></a><br/></td></tr>
+<tr class="separator:gaca3f0b8227da431ab29225b88888aa32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafb0778d27ed98a2a6f2ecb7d48cc8c75"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gafb0778d27ed98a2a6f2ecb7d48cc8c75"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 vector multiplication.  <a href="#gafb0778d27ed98a2a6f2ecb7d48cc8c75"></a><br/></td></tr>
+<tr class="separator:gafb0778d27ed98a2a6f2ecb7d48cc8c75"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3528c0f54a0607acc603f0490d3ca6c6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga3528c0f54a0607acc603f0490d3ca6c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 vector multiplication.  <a href="#ga3528c0f54a0607acc603f0490d3ca6c6"></a><br/></td></tr>
+<tr class="separator:ga3528c0f54a0607acc603f0490d3ca6c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga16677275ed83ff0878da531e875c27ef"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_mult.html#ga16677275ed83ff0878da531e875c27ef">arm_mult_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga16677275ed83ff0878da531e875c27ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 vector multiplication.  <a href="#ga16677275ed83ff0878da531e875c27ef"></a><br/></td></tr>
+<tr class="separator:ga16677275ed83ff0878da531e875c27ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Element-by-element multiplication of two vectors.</p>
+<pre>        
+    pDst[n] = pSrcA[n] * pSrcB[n],   0 &lt;= n &lt; blockSize.        
+</pre><p>There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaca3f0b8227da431ab29225b88888aa32"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mult_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_dotproduct_example_f32_8c-example.html#a8">arm_dotproduct_example_f32.c</a>, <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a13">arm_sin_cos_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a13">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gafb0778d27ed98a2a6f2ecb7d48cc8c75"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mult_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3528c0f54a0607acc603f0490d3ca6c6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mult_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga16677275ed83ff0878da531e875c27ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mult_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "arm_mult_q31", "group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6", null ],
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Subtraction</title>
+<title>CMSIS-DSP: Vector Subtraction</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+       class="ui-resizable-handle">
+  </div>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___basic_sub.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Subtraction</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga7f975a472de286331134227c08aad826"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826">arm_sub_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga7f975a472de286331134227c08aad826"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point vector subtraction.  <a href="#ga7f975a472de286331134227c08aad826"></a><br/></td></tr>
+<tr class="separator:ga7f975a472de286331134227c08aad826"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga997a8ee93088d15bda23c325d455b588"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#ga997a8ee93088d15bda23c325d455b588">arm_sub_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga997a8ee93088d15bda23c325d455b588"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 vector subtraction.  <a href="#ga997a8ee93088d15bda23c325d455b588"></a><br/></td></tr>
+<tr class="separator:ga997a8ee93088d15bda23c325d455b588"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga28aa6908d092752144413e21933dc878"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#ga28aa6908d092752144413e21933dc878">arm_sub_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga28aa6908d092752144413e21933dc878"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 vector subtraction.  <a href="#ga28aa6908d092752144413e21933dc878"></a><br/></td></tr>
+<tr class="separator:ga28aa6908d092752144413e21933dc878"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab09941de7dfeb247e5c29b406a435fcc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc">arm_sub_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gab09941de7dfeb247e5c29b406a435fcc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 vector subtraction.  <a href="#gab09941de7dfeb247e5c29b406a435fcc"></a><br/></td></tr>
+<tr class="separator:gab09941de7dfeb247e5c29b406a435fcc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Element-by-element subtraction of two vectors.</p>
+<pre>        
+    pDst[n] = pSrcA[n] - pSrcB[n],   0 &lt;= n &lt; blockSize.        
+</pre><p>There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga7f975a472de286331134227c08aad826"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sub_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a36">arm_signal_converge_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a14">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga997a8ee93088d15bda23c325d455b588"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sub_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga28aa6908d092752144413e21933dc878"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sub_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab09941de7dfeb247e5c29b406a435fcc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sub_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "arm_sub_q31", "group___basic_sub.html#ga28aa6908d092752144413e21933dc878", null ],
+    [ "arm_sub_q7", "group___basic_sub.html#gab09941de7dfeb247e5c29b406a435fcc", null ]
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Bilinear Interpolation</title>
+<title>CMSIS-DSP: Bilinear Interpolation</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+<!-- Generated by Doxygen 1.8.2 -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+          </span><span class="right">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___bilinear_interpolate.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Bilinear Interpolation</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_interpolation.html">Interpolation Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gab49a4c0f64854903d996d01ba38f711a"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gab49a4c0f64854903d996d01ba38f711a">arm_bilinear_interp_f32</a> (const <a class="el" href="structarm__bilinear__interp__instance__f32.html">arm_bilinear_interp_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> X, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Y)</td></tr>
+<tr class="memdesc:gab49a4c0f64854903d996d01ba38f711a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point bilinear interpolation.  <a href="#gab49a4c0f64854903d996d01ba38f711a"></a><br/></td></tr>
+<tr class="separator:gab49a4c0f64854903d996d01ba38f711a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga202a033c8a2ad3678b136f93153b6d13"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_bilinear_interp_q31</a> (<a class="el" href="structarm__bilinear__interp__instance__q31.html">arm_bilinear_interp_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
+<tr class="memdesc:ga202a033c8a2ad3678b136f93153b6d13"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 bilinear interpolation.  <a href="#ga202a033c8a2ad3678b136f93153b6d13"></a><br/></td></tr>
+<tr class="separator:ga202a033c8a2ad3678b136f93153b6d13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa8dffbc2a01bb7accf231384498ec85e"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_bilinear_interp_q15</a> (<a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
+<tr class="memdesc:gaa8dffbc2a01bb7accf231384498ec85e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 bilinear interpolation.  <a href="#gaa8dffbc2a01bb7accf231384498ec85e"></a><br/></td></tr>
+<tr class="separator:gaa8dffbc2a01bb7accf231384498ec85e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_bilinear_interp_q7</a> (<a class="el" href="structarm__bilinear__interp__instance__q7.html">arm_bilinear_interp_instance_q7</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> X, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Y)</td></tr>
+<tr class="memdesc:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q7 bilinear interpolation.  <a href="#gade8db9706a3ae9ad03b2750a239d2ee6"></a><br/></td></tr>
+<tr class="separator:gade8db9706a3ae9ad03b2750a239d2ee6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. The underlying function <code>f(x, y)</code> is sampled on a regular grid and the interpolation process determines values between the grid points. Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. Bilinear interpolation is often used in image processing to rescale images. The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.</p>
+<p><b>Algorithm</b> </p>
+<dl class="section user"><dt></dt><dd>The instance structure used by the bilinear interpolation functions describes a two dimensional data table. For floating-point, the instance structure is defined as: <pre>
+  typedef struct
+  {
+    uint16_t numRows;
+    uint16_t numCols;
+    float32_t *pData;
+} <a class="el" href="structarm__bilinear__interp__instance__f32.html" title="Instance structure for the floating-point bilinear interpolation function.">arm_bilinear_interp_instance_f32</a>;
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>numRows</code> specifies the number of rows in the table; <code>numCols</code> specifies the number of columns in the table; and <code>pData</code> points to an array of size <code>numRows*numCols</code> values. The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes. That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.</dd></dl>
+<dl class="section user"><dt></dt><dd>Let <code>(x, y)</code> specify the desired interpolation point. Then define: <pre>
+    XF = floor(x)
+    YF = floor(y)
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>The interpolated output point is computed as: <pre>
+ f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+          + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+          + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+          + f(XF+1, YF+1) * (x-XF)*(y-YF)
+</pre> Note that the coordinates (x, y) contain integer and fractional components. The integer components specify which portion of the table to use while the fractional components control the interpolation processor.</dd></dl>
+<dl class="section user"><dt></dt><dd>if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gab49a4c0f64854903d996d01ba38f711a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_bilinear_interp_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__bilinear__interp__instance__f32.html">arm_bilinear_interp_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>X</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
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+          <td class="paramname"><em>Y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
+
+<p>References <a class="el" href="structarm__bilinear__interp__instance__f32.html#aede17bebfb1f835b61d71dd813eab3f8">arm_bilinear_interp_instance_f32::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__f32.html#a34f2b17cc57b95011960df9718af6ed6">arm_bilinear_interp_instance_f32::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__f32.html#afd1e764591c991c212d56c893efb5ea4">arm_bilinear_interp_instance_f32::pData</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa8dffbc2a01bb7accf231384498ec85e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_bilinear_interp_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>X</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate in 12.20 format. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate in 12.20 format. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
+
+<p>References <a class="el" href="structarm__bilinear__interp__instance__q15.html#a7fa8772d01583374ff8ac18205a26a37">arm_bilinear_interp_instance_q15::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q15.html#a2130ae30a804995a9f5d0e2189e08565">arm_bilinear_interp_instance_q15::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q15.html#a50d75b1316cee3e0dfad6dcc4c9a2954">arm_bilinear_interp_instance_q15::pData</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga202a033c8a2ad3678b136f93153b6d13"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_bilinear_interp_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__bilinear__interp__instance__q31.html">arm_bilinear_interp_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>X</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate in 12.20 format. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate in 12.20 format. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
+
+<p>References <a class="el" href="structarm__bilinear__interp__instance__q31.html#a6c3eff4eb17ff1d43f170efb84713a2d">arm_bilinear_interp_instance_q31::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q31.html#a2082e3eac56354d75291f03e96ce4aa5">arm_bilinear_interp_instance_q31::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q31.html#a843eae0c9db5f815e77e1aaf9afea358">arm_bilinear_interp_instance_q31::pData</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gade8db9706a3ae9ad03b2750a239d2ee6"></a>
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+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
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+          <td class="paramname"><em>Y</em>&#160;</td>
+        </tr>
+        <tr>
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+          <td></td><td></td>
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+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the interpolation structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>interpolation coordinate in 12.20 format. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Y</td><td>interpolation coordinate in 12.20 format. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out interpolated value. </dd></dl>
+
+<p>References <a class="el" href="structarm__bilinear__interp__instance__q7.html#a860dd0d24380ea06cfbb348fb3b12c9a">arm_bilinear_interp_instance_q7::numCols</a>, <a class="el" href="structarm__bilinear__interp__instance__q7.html#ad5a8067cab5f9ea4688b11a623e16607">arm_bilinear_interp_instance_q7::numRows</a>, and <a class="el" href="structarm__bilinear__interp__instance__q7.html#af05194d691bbefb02c34bafb22ca9ef0">arm_bilinear_interp_instance_q7::pData</a>.</p>
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+<title>CMSIS-DSP: Biquad Cascade IIR Filters Using Direct Form I Structure</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Biquad Cascade IIR Filters Using Direct Form I Structure</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaa0dbe330d763e3c1d8030b3ef12d5bdc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32</a> (const <a class="el" href="structarm__biquad__casd__df1__inst__f32.html">arm_biquad_casd_df1_inst_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaa0dbe330d763e3c1d8030b3ef12d5bdc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point Biquad cascade filter.  <a href="#gaa0dbe330d763e3c1d8030b3ef12d5bdc"></a><br/></td></tr>
+<tr class="separator:gaa0dbe330d763e3c1d8030b3ef12d5bdc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaffb9792c0220882efd4c58f3c6a05fd7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15</a> (const <a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaffb9792c0220882efd4c58f3c6a05fd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.  <a href="#gaffb9792c0220882efd4c58f3c6a05fd7"></a><br/></td></tr>
+<tr class="separator:gaffb9792c0220882efd4c58f3c6a05fd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga456390f5e448afad3a38bed7d6e380e3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31</a> (const <a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga456390f5e448afad3a38bed7d6e380e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.  <a href="#ga456390f5e448afad3a38bed7d6e380e3"></a><br/></td></tr>
+<tr class="separator:ga456390f5e448afad3a38bed7d6e380e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8e73b69a788e681a61bccc8959d823c5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32</a> (<a class="el" href="structarm__biquad__casd__df1__inst__f32.html">arm_biquad_casd_df1_inst_f32</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState)</td></tr>
+<tr class="memdesc:ga8e73b69a788e681a61bccc8959d823c5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point Biquad cascade filter.  <a href="#ga8e73b69a788e681a61bccc8959d823c5"></a><br/></td></tr>
+<tr class="separator:ga8e73b69a788e681a61bccc8959d823c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad54c724132f6d742a444eb6df0e9c731"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15</a> (<a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, int8_t postShift)</td></tr>
+<tr class="memdesc:gad54c724132f6d742a444eb6df0e9c731"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 Biquad cascade filter.  <a href="#gad54c724132f6d742a444eb6df0e9c731"></a><br/></td></tr>
+<tr class="separator:gad54c724132f6d742a444eb6df0e9c731"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf42a44f9b16d61e636418c83eefe577b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31</a> (<a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, int8_t postShift)</td></tr>
+<tr class="memdesc:gaf42a44f9b16d61e636418c83eefe577b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 Biquad cascade filter.  <a href="#gaf42a44f9b16d61e636418c83eefe577b"></a><br/></td></tr>
+<tr class="separator:gaf42a44f9b16d61e636418c83eefe577b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadd66a0aefdc645031d607b0a5b37a942"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15</a> (const <a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gadd66a0aefdc645031d607b0a5b37a942"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 Biquad cascade filter.  <a href="#gadd66a0aefdc645031d607b0a5b37a942"></a><br/></td></tr>
+<tr class="separator:gadd66a0aefdc645031d607b0a5b37a942"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27b0c54da702713976e5202d20b4473f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31</a> (const <a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga27b0c54da702713976e5202d20b4473f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 Biquad cascade filter.  <a href="#ga27b0c54da702713976e5202d20b4473f"></a><br/></td></tr>
+<tr class="separator:ga27b0c54da702713976e5202d20b4473f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements arbitrary order recursive (IIR) filters. The filters are implemented as a cascade of second order Biquad sections. The functions support Q15, Q31 and floating-point data types. Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3.</p>
+<p>The functions operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> points to the array of input data and <code>pDst</code> points to the array of output data. Both arrays contain <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Each Biquad stage implements a second order filter using the difference equation: <pre>    
+    y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+</pre> A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. <div class="image">
+<img src="Biquad.gif" alt="Biquad.gif"/>
+<div class="caption">
+Single Biquad filter stage</div></div>
+ Coefficients <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. Pay careful attention to the sign of the feedback coefficients. Some design tools use the difference equation <pre>    
+    y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
+</pre> In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.</dd></dl>
+<dl class="section user"><dt></dt><dd>Higher order filters are realized as a cascade of second order sections. <code>numStages</code> refers to the number of second order stages used. For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. <div class="image">
+<img src="BiquadCascade.gif" alt="BiquadCascade.gif"/>
+<div class="caption">
+8th order filter using a cascade of Biquad stages</div></div>
+ A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> points to state variables array. Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. The state variables are arranged in the <code>pState</code> array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values. The state variables are updated after each block of data is processed, the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Init Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. The code below statically initializes each of the 3 different data type filter instance structures <pre>    
+    <a class="el" href="structarm__biquad__casd__df1__inst__f32.html" title="Instance structure for the floating-point Biquad cascade filter.">arm_biquad_casd_df1_inst_f32</a> S1 = {numStages, pState, pCoeffs};    
+    <a class="el" href="structarm__biquad__casd__df1__inst__q15.html" title="Instance structure for the Q15 Biquad cascade filter.">arm_biquad_casd_df1_inst_q15</a> S2 = {numStages, pState, pCoeffs, postShift};    
+    <a class="el" href="structarm__biquad__casd__df1__inst__q31.html" title="Instance structure for the Q31 Biquad cascade filter.">arm_biquad_casd_df1_inst_q31</a> S3 = {numStages, pState, pCoeffs, postShift};    
+</pre> where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer; <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions. Following issues must be considered:<ul>
+<li>Scaling of coefficients</li>
+<li>Filter gain</li>
+<li>Overflow and saturation</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd><b>Scaling of coefficients: </b> Filter coefficients are represented as fractional values and coefficients are restricted to lie in the range <code>[-1 +1)</code>. The fixed-point functions have an additional scaling parameter <code>postShift</code> which allow the filter coefficients to exceed the range <code>[+1 -1)</code>. At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. <div class="image">
+<img src="BiquadPostshift.gif" alt="BiquadPostshift.gif"/>
+<div class="caption">
+Fixed-point Biquad with shift by postShift bits after accumulator</div></div>
+ This essentially scales the filter coefficients by <code>2^postShift</code>. For example, to realize the coefficients <pre>    
+   {1.5, -0.8, 1.2, 1.6, -0.9}    
+</pre> set the pCoeffs array to: <pre>    
+   {0.75, -0.4, 0.6, 0.8, -0.45}    
+</pre> and set <code>postShift=1</code></dd></dl>
+<dl class="section user"><dt></dt><dd><b>Filter gain: </b> The frequency response of a Biquad filter is a function of its coefficients. It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. This means that an input signal with amplitude &lt; 1.0 may result in an output &gt; 1.0 and these are saturated or overflowed based on the implementation of the filter. To avoid this behavior the filter needs to be scaled down such that its peak gain &lt; 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.</dd></dl>
+<dl class="section user"><dt></dt><dd><b>Overflow and saturation: </b> For Q15 and Q31 versions, it is described separately as part of the function specific documentation below. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaa0dbe330d763e3c1d8030b3ef12d5bdc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__casd__df1__inst__f32.html">arm_biquad_casd_df1_inst_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af69820c37a87252c46453e4cfe120585">arm_biquad_casd_df1_inst_f32::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af9df3820576fb921809d1462c9c6d16c">arm_biquad_casd_df1_inst_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#a8c245d79e0d8cfabc82409d4b54fb682">arm_biquad_casd_df1_inst_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaffb9792c0220882efd4c58f3c6a05fd7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). The 2.30 accumulator is then shifted by <code>postShift</code> bits and the result truncated to 1.15 format by discarding the low 16 bits.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942" title="Processing function for the Q15 Biquad cascade filter.">arm_biquad_cascade_df1_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731" title="Initialization function for the Q15 Biquad cascade filter.">arm_biquad_cascade_df1_init_q15()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">arm_biquad_casd_df1_inst_q15::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a1edaacdebb5b09d7635bf20c779855fc">arm_biquad_casd_df1_inst_q15::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d">arm_biquad_casd_df1_inst_q15::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a5481104ef2f8f81360b80b47d69ae932">arm_biquad_casd_df1_inst_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga456390f5e448afad3a38bed7d6e380e3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>This function is optimized for speed at the expense of fixed-point precision and overflow protection. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are added to a 2.30 accumulator. Finally, the accumulator is saturated and converted to a 1.31 result. The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31()</a> to initialize filter structure.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31()</a></code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a960f210642058d2b3d5368729a6e8375">mult_32x32_keep32_R</a>, <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">arm_biquad_casd_df1_inst_q31::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2">arm_biquad_casd_df1_inst_q31::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe">arm_biquad_casd_df1_inst_q31::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a5dcf4727f58eb4e8e8b392508d8657bb">arm_biquad_casd_df1_inst_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8e73b69a788e681a61bccc8959d823c5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__casd__df1__inst__f32.html">arm_biquad_casd_df1_inst_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients array. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b></p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> is a pointer to state array. Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. The state variables are arranged in the <code>pState</code> array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre> The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+
+<p>References <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af69820c37a87252c46453e4cfe120585">arm_biquad_casd_df1_inst_f32::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af9df3820576fb921809d1462c9c6d16c">arm_biquad_casd_df1_inst_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__f32.html#a8c245d79e0d8cfabc82409d4b54fb682">arm_biquad_casd_df1_inst_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad54c724132f6d742a444eb6df0e9c731"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>Shift to be applied to the accumulator result. Varies according to the coefficients format </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b></p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}    
+</pre> where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>6*numStages</code> values. The zero coefficient between <code>b1</code> and <code>b2</code> facilities use of 16-bit SIMD instructions on the Cortex-M4.</dd></dl>
+<dl class="section user"><dt></dt><dd>The state variables are stored in the array <code>pState</code>. Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. The state variables are arranged in the <code>pState</code> array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre> The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+
+<p>References <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">arm_biquad_casd_df1_inst_q15::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a1edaacdebb5b09d7635bf20c779855fc">arm_biquad_casd_df1_inst_q15::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d">arm_biquad_casd_df1_inst_q15::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a5481104ef2f8f81360b80b47d69ae932">arm_biquad_casd_df1_inst_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf42a44f9b16d61e636418c83eefe577b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>Shift to be applied after the accumulator. Varies according to the coefficients format </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b></p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre> where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> points to state variables array. Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. The state variables are arranged in the <code>pState</code> array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre> The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a21">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">arm_biquad_casd_df1_inst_q31::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2">arm_biquad_casd_df1_inst_q31::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe">arm_biquad_casd_df1_inst_q31::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a5dcf4727f58eb4e8e8b392508d8657bb">arm_biquad_casd_df1_inst_q31::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadd66a0aefdc645031d607b0a5b37a942"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. The accumulator is then shifted by <code>postShift</code> bits to truncate the result to 1.15 format by discarding the low 16 bits. Finally, the result is saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7" title="Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-...">arm_biquad_cascade_df1_fast_q15()</a></code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">arm_biquad_casd_df1_inst_q15::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a1edaacdebb5b09d7635bf20c779855fc">arm_biquad_casd_df1_inst_q15::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d">arm_biquad_casd_df1_inst_q15::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q15.html#a5481104ef2f8f81360b80b47d69ae932">arm_biquad_casd_df1_inst_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga27b0c54da702713976e5202d20b4473f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df1_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 Biquad cascade structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to 1.31 format by discarding the low 32 bits.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3" title="Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-...">arm_biquad_cascade_df1_fast_q31()</a></code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a26">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">arm_biquad_casd_df1_inst_q31::numStages</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2">arm_biquad_casd_df1_inst_q31::pCoeffs</a>, <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe">arm_biquad_casd_df1_inst_q31::postShift</a>, and <a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a5dcf4727f58eb4e8e8b392508d8657bb">arm_biquad_casd_df1_inst_q31::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
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+<title>CMSIS-DSP: High Precision Q31 Biquad Cascade Filter</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">High Precision Q31 Biquad Cascade Filter</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga44900cecb8083afcaabf905ffcd656bb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31</a> (<a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html">arm_biquad_cas_df1_32x64_ins_q31</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *pState, uint8_t postShift)</td></tr>
+<tr class="separator:ga44900cecb8083afcaabf905ffcd656bb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga953a83e69685de6575cff37feb358a93"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31</a> (const <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html">arm_biquad_cas_df1_32x64_ins_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="separator:ga953a83e69685de6575cff37feb358a93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This function implements a high precision Biquad cascade filter which operates on Q31 data values. The filter coefficients are in 1.31 format and the state variables are in 1.63 format. The double precision state variables reduce quantization noise in the filter and provide a cleaner output. These filters are particularly useful when implementing filters in which the singularities are close to the unit circle. This is common for low pass or high pass filters with very low cutoff frequencies.</p>
+<p>The function operates on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays containing <code>blockSize</code> Q31 values.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Each Biquad stage implements a second order filter using the difference equation: <pre>    
+    y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]    
+</pre> A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. <div class="image">
+<img src="Biquad.gif" alt="Biquad.gif"/>
+<div class="caption">
+Single Biquad filter stage</div></div>
+ Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. Pay careful attention to the sign of the feedback coefficients. Some design tools use the difference equation <pre>    
+    y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]    
+</pre> In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.</dd></dl>
+<dl class="section user"><dt></dt><dd>Higher order filters are realized as a cascade of second order sections. <code>numStages</code> refers to the number of second order stages used. For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. <div class="image">
+<img src="BiquadCascade.gif" alt="BiquadCascade.gif"/>
+<div class="caption">
+8th order filter using a cascade of Biquad stages</div></div>
+ A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> points to state variables array . Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code> and each state variable in 1.63 format to improve precision. The state variables are arranged in the array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values of data in 1.63 format. The state variables are updated after each block of data is processed; the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.</dd></dl>
+<dl class="section user"><dt>Init Function </dt><dd>There is also an associated initialization function which performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. For example, to statically initialize the filter instance structure use <pre>    
+    <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html" title="Instance structure for the high precision Q31 Biquad cascade filter.">arm_biquad_cas_df1_32x64_ins_q31</a> S1 = {numStages, pState, pCoeffs, postShift};    
+</pre> where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer; <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied which is described in detail below. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken while using Biquad Cascade 32x64 filter function. Following issues must be considered:<ul>
+<li>Scaling of coefficients</li>
+<li>Filter gain</li>
+<li>Overflow and saturation</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Filter coefficients are represented as fractional values and restricted to lie in the range <code>[-1 +1)</code>. The processing function has an additional scaling parameter <code>postShift</code> which allows the filter coefficients to exceed the range <code>[+1 -1)</code>. At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. <div class="image">
+<img src="BiquadPostshift.gif" alt="BiquadPostshift.gif"/>
+<div class="caption">
+Fixed-point Biquad with shift by postShift bits after accumulator</div></div>
+ This essentially scales the filter coefficients by <code>2^postShift</code>. For example, to realize the coefficients <pre>    
+   {1.5, -0.8, 1.2, 1.6, -0.9}    
+</pre> set the Coefficient array to: <pre>    
+   {0.75, -0.4, 0.6, 0.8, -0.45}    
+</pre> and set <code>postShift=1</code></dd></dl>
+<dl class="section user"><dt></dt><dd>The second thing to keep in mind is the gain through the filter. The frequency response of a Biquad filter is a function of its coefficients. It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. This means that an input signal with amplitude &lt; 1.0 may result in an output &gt; 1.0 and these are saturated or overflowed based on the implementation of the filter. To avoid this behavior the filter needs to be scaled down such that its peak gain &lt; 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.</dd></dl>
+<dl class="section user"><dt></dt><dd>The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version. This is described in the function specific documentation below. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga44900cecb8083afcaabf905ffcd656bb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cas_df1_32x64_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html">arm_biquad_cas_df1_32x64_ins_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the high precision Q31 Biquad cascade filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>Shift to be applied after the accumulator. Varies according to the coefficients format. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b></p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre> where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> points to state variables array and size of each state variable is 1.63 format. Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. The state variables are arranged in the state array as: <pre>    
+    {x[n-1], x[n-2], y[n-1], y[n-2]}    
+</pre> The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. The state array has a total length of <code>4*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a19">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#ad7cb9a9f5df8f4fcfc7a0b633672e574">arm_biquad_cas_df1_32x64_ins_q31::numStages</a>, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a490462d6ebe0fecfb6acbf51bed22ecf">arm_biquad_cas_df1_32x64_ins_q31::pCoeffs</a>, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a8e9d58e8dba5aa3b2fc4f36d2ed07996">arm_biquad_cas_df1_32x64_ins_q31::postShift</a>, and <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a4c899cdfaf2bb955323e93637bd662e0">arm_biquad_cas_df1_32x64_ins_q31::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga953a83e69685de6575cff37feb358a93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cas_df1_32x64_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html">arm_biquad_cas_df1_32x64_ins_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the high precision Q31 Biquad cascade filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to 1.31 format by discarding the low 32 bits.</dd></dl>
+<dl class="section user"><dt></dt><dd>Two related functions are provided in the CMSIS DSP library. <code><a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31()</a></code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator. <code><a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3" title="Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-...">arm_biquad_cascade_df1_fast_q31()</a></code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a25">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a642a29d71f7951a7f6c0b797c300b711">mult32x64()</a>, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#ad7cb9a9f5df8f4fcfc7a0b633672e574">arm_biquad_cas_df1_32x64_ins_q31::numStages</a>, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a490462d6ebe0fecfb6acbf51bed22ecf">arm_biquad_cas_df1_32x64_ins_q31::pCoeffs</a>, <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a8e9d58e8dba5aa3b2fc4f36d2ed07996">arm_biquad_cas_df1_32x64_ins_q31::postShift</a>, and <a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a4c899cdfaf2bb955323e93637bd662e0">arm_biquad_cas_df1_32x64_ins_q31::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga114f373fbc16a314e9f293c7c7649c7f"><td class="memItemLeft" align="right" valign="top">LOW_OPTIMIZATION_ENTER void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32</a> (const <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html">arm_biquad_cascade_df2T_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga114f373fbc16a314e9f293c7c7649c7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#ga114f373fbc16a314e9f293c7c7649c7f"></a><br/></td></tr>
+<tr class="separator:ga114f373fbc16a314e9f293c7c7649c7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa8735dda5f3f36d0936283794c2aa771"><td class="memItemLeft" align="right" valign="top">LOW_OPTIMIZATION_ENTER void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64</a> (const <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a> *S, <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaa8735dda5f3f36d0936283794c2aa771"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#gaa8735dda5f3f36d0936283794c2aa771"></a><br/></td></tr>
+<tr class="separator:gaa8735dda5f3f36d0936283794c2aa771"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga70eaddf317a4a8bde6bd6a97df67fedd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32</a> (<a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html">arm_biquad_cascade_df2T_instance_f32</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState)</td></tr>
+<tr class="memdesc:ga70eaddf317a4a8bde6bd6a97df67fedd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#ga70eaddf317a4a8bde6bd6a97df67fedd"></a><br/></td></tr>
+<tr class="separator:ga70eaddf317a4a8bde6bd6a97df67fedd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga12dc5d8e8892806ad70e79ca2ff9f86e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64</a> (<a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *pState)</td></tr>
+<tr class="memdesc:ga12dc5d8e8892806ad70e79ca2ff9f86e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#ga12dc5d8e8892806ad70e79ca2ff9f86e"></a><br/></td></tr>
+<tr class="separator:ga12dc5d8e8892806ad70e79ca2ff9f86e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac75de449c3e4f733477d81bd0ada5eec"><td class="memItemLeft" align="right" valign="top">LOW_OPTIMIZATION_ENTER void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32</a> (const <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html">arm_biquad_cascade_stereo_df2T_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gac75de449c3e4f733477d81bd0ada5eec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#gac75de449c3e4f733477d81bd0ada5eec"></a><br/></td></tr>
+<tr class="separator:gac75de449c3e4f733477d81bd0ada5eec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga405197c89fe4d34003efd23786296425"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32</a> (<a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html">arm_biquad_cascade_stereo_df2T_instance_f32</a> *S, uint8_t numStages, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState)</td></tr>
+<tr class="memdesc:ga405197c89fe4d34003efd23786296425"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point transposed direct form II Biquad cascade filter.  <a href="#ga405197c89fe4d34003efd23786296425"></a><br/></td></tr>
+<tr class="separator:ga405197c89fe4d34003efd23786296425"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. The filters are implemented as a cascade of second order Biquad sections. These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. Only floating-point data is supported.</p>
+<p>This function operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> points to the array of input data and <code>pDst</code> points to the array of output data. Both arrays contain <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Each Biquad stage implements a second order filter using the difference equation: <pre>       
+   y[n] = b0 * x[n] + d1       
+   d1 = b1 * x[n] + a1 * y[n] + d2       
+   d2 = b2 * x[n] + a2 * y[n]       
+</pre> where d1 and d2 represent the two state values.</dd></dl>
+<dl class="section user"><dt></dt><dd>A Biquad filter using a transposed Direct Form II structure is shown below. <div class="image">
+<img src="BiquadDF2Transposed.gif" alt="BiquadDF2Transposed.gif"/>
+<div class="caption">
+Single transposed Direct Form II Biquad</div></div>
+ Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. Pay careful attention to the sign of the feedback coefficients. Some design tools flip the sign of the feedback coefficients: <pre>       
+   y[n] = b0 * x[n] + d1;       
+   d1 = b1 * x[n] - a1 * y[n] + d2;       
+   d2 = b2 * x[n] - a2 * y[n];       
+</pre> In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.</dd></dl>
+<dl class="section user"><dt></dt><dd>Higher order filters are realized as a cascade of second order sections. <code>numStages</code> refers to the number of second order stages used. For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).</dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the state variable array. Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>. The state variables are arranged in the <code>pState</code> array as: <pre>       
+    {d11, d12, d21, d22, ...}       
+</pre> where <code>d1x</code> refers to the state variables for the first Biquad and <code>d2x</code> refers to the state variables for the second Biquad. The state array has a total length of <code>2*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt></dt><dd>The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. That is why the Direct Form I structure supports Q15 and Q31 data types. The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>. Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.</dd></dl>
+<dl class="section user"><dt>Init Functions </dt><dd>There is also an associated initialization function. The initialization function performs following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. For example, to statically initialize the instance structure use <pre>       
+    <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html" title="Instance structure for the floating-point transposed direct form II Biquad cascade filter...">arm_biquad_cascade_df2T_instance_f32</a> S1 = {numStages, pState, pCoeffs};       
+</pre> where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer. <code>pCoeffs</code> is the address of the coefficient buffer;</dd></dl>
+<p>This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. The filters are implemented as a cascade of second order Biquad sections. These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. Only floating-point data is supported.</p>
+<p>This function operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> points to the array of input data and <code>pDst</code> points to the array of output data. Both arrays contain <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Each Biquad stage implements a second order filter using the difference equation: <pre>       
+   y[n] = b0 * x[n] + d1       
+   d1 = b1 * x[n] + a1 * y[n] + d2       
+   d2 = b2 * x[n] + a2 * y[n]       
+</pre> where d1 and d2 represent the two state values.</dd></dl>
+<dl class="section user"><dt></dt><dd>A Biquad filter using a transposed Direct Form II structure is shown below. <div class="image">
+<img src="BiquadDF2Transposed.gif" alt="BiquadDF2Transposed.gif"/>
+<div class="caption">
+Single transposed Direct Form II Biquad</div></div>
+ Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. Pay careful attention to the sign of the feedback coefficients. Some design tools flip the sign of the feedback coefficients: <pre>       
+   y[n] = b0 * x[n] + d1;       
+   d1 = b1 * x[n] - a1 * y[n] + d2;       
+   d2 = b2 * x[n] - a2 * y[n];       
+</pre> In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.</dd></dl>
+<dl class="section user"><dt></dt><dd>Higher order filters are realized as a cascade of second order sections. <code>numStages</code> refers to the number of second order stages used. For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).</dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the state variable array. Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>. The state variables are arranged in the <code>pState</code> array as: <pre>       
+    {d11, d12, d21, d22, ...}       
+</pre> where <code>d1x</code> refers to the state variables for the first Biquad and <code>d2x</code> refers to the state variables for the second Biquad. The state array has a total length of <code>2*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt></dt><dd>The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. That is why the Direct Form I structure supports Q15 and Q31 data types. The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>. Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.</dd></dl>
+<dl class="section user"><dt>Init Functions </dt><dd>There is also an associated initialization function. The initialization function performs following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. For example, to statically initialize the instance structure use <pre>       
+    <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html" title="Instance structure for the floating-point transposed direct form II Biquad cascade filter...">arm_biquad_cascade_df2T_instance_f64</a> S1 = {numStages, pState, pCoeffs};       
+</pre> where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer. <code>pCoeffs</code> is the address of the coefficient buffer; </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga114f373fbc16a314e9f293c7c7649c7f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">LOW_OPTIMIZATION_ENTER void arm_biquad_cascade_df2T_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html">arm_biquad_cascade_df2T_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a4d17958c33c3d0a905f974bac50f033f">arm_biquad_cascade_df2T_instance_f32::numStages</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a49a24fe1b6ad3b0b26779c32d8d80b2e">arm_biquad_cascade_df2T_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a24d223addfd926a7177088cf2efe76b1">arm_biquad_cascade_df2T_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa8735dda5f3f36d0936283794c2aa771"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">LOW_OPTIMIZATION_ENTER void arm_biquad_cascade_df2T_f64 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ad55380ff835b533aa5168f836db8a4de">arm_biquad_cascade_df2T_instance_f64::numStages</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ae2f0180f9038c0393e1d6921bb3b878b">arm_biquad_cascade_df2T_instance_f64::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#a0bde57b618e3f9059b23b0de64e12ce3">arm_biquad_cascade_df2T_instance_f64::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga70eaddf317a4a8bde6bd6a97df67fedd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df2T_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html">arm_biquad_cascade_df2T_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b> </p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> is a pointer to state array. Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>. The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. The state array has a total length of <code>2*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+
+<p>References <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a4d17958c33c3d0a905f974bac50f033f">arm_biquad_cascade_df2T_instance_f32::numStages</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a49a24fe1b6ad3b0b26779c32d8d80b2e">arm_biquad_cascade_df2T_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a24d223addfd926a7177088cf2efe76b1">arm_biquad_cascade_df2T_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga12dc5d8e8892806ad70e79ca2ff9f86e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_df2T_init_f64 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b> </p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> is a pointer to state array. Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>. The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. The state array has a total length of <code>2*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+
+<p>References <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ad55380ff835b533aa5168f836db8a4de">arm_biquad_cascade_df2T_instance_f64::numStages</a>, <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ae2f0180f9038c0393e1d6921bb3b878b">arm_biquad_cascade_df2T_instance_f64::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#a0bde57b618e3f9059b23b0de64e12ce3">arm_biquad_cascade_df2T_instance_f64::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac75de449c3e4f733477d81bd0ada5eec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">LOW_OPTIMIZATION_ENTER void arm_biquad_cascade_stereo_df2T_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html">arm_biquad_cascade_stereo_df2T_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a5655328252da5c2c2425ceed253bc4f1">arm_biquad_cascade_stereo_df2T_instance_f32::numStages</a>, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a58b15644de62a632c5e9d4a563569dc6">arm_biquad_cascade_stereo_df2T_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a2cb00048bb1fe957a03c1ff56dfaf8f0">arm_biquad_cascade_stereo_df2T_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga405197c89fe4d34003efd23786296425"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_biquad_cascade_stereo_df2T_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html">arm_biquad_cascade_stereo_df2T_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the filter data structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of 2nd order stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Coefficient and State Ordering:</b> </p>
+<dl class="section user"><dt></dt><dd>The coefficients are stored in the array <code>pCoeffs</code> in the following order: <pre>    
+    {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.</dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pState</code> is a pointer to state array. Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code> for each channel. The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. The state array has a total length of <code>2*numStages</code> values. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+
+<p>References <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a5655328252da5c2c2425ceed253bc4f1">arm_biquad_cascade_stereo_df2T_instance_f32::numStages</a>, <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a58b15644de62a632c5e9d4a563569dc6">arm_biquad_cascade_stereo_df2T_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a2cb00048bb1fe957a03c1ff56dfaf8f0">arm_biquad_cascade_stereo_df2T_instance_f32::pState</a>.</p>
+
+</div>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:gae247e83ad50d474107254e25b36ad42b"><td class="memItemLeft" align="right" valign="top">const uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a> [1024]</td></tr>
+<tr class="separator:gae247e83ad50d474107254e25b36ad42b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gae75e243ec61706427314270f222e0c8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga78a72c85d88185de98050c930cfc76e3"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga78a72c85d88185de98050c930cfc76e3">twiddleCoef_32</a> [64]</td></tr>
+<tr class="separator:ga78a72c85d88185de98050c930cfc76e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4f3c6d98c7e66393b4ef3ac63746e43d"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga4f3c6d98c7e66393b4ef3ac63746e43d">twiddleCoef_64</a> [128]</td></tr>
+<tr class="separator:ga4f3c6d98c7e66393b4ef3ac63746e43d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga948433536dafaac1381decfccf4e2d9c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga948433536dafaac1381decfccf4e2d9c">twiddleCoef_128</a> [256]</td></tr>
+<tr class="separator:ga948433536dafaac1381decfccf4e2d9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafe813758a03a798e972359a092315be4"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafe813758a03a798e972359a092315be4">twiddleCoef_256</a> [512]</td></tr>
+<tr class="separator:gafe813758a03a798e972359a092315be4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad8830f0c068ab2cc19f2f87d220fa148"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gad8830f0c068ab2cc19f2f87d220fa148">twiddleCoef_512</a> [1024]</td></tr>
+<tr class="separator:gad8830f0c068ab2cc19f2f87d220fa148"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27c056eb130a4333d1cc5dd43ec738b1"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga27c056eb130a4333d1cc5dd43ec738b1">twiddleCoef_1024</a> [2048]</td></tr>
+<tr class="separator:ga27c056eb130a4333d1cc5dd43ec738b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga23e7f30421a7905b21c2015429779633"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae0182d1dd3b2f21aad4e38a815a0bd40"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae0182d1dd3b2f21aad4e38a815a0bd40">twiddleCoef_4096</a> [8192]</td></tr>
+<tr class="separator:gae0182d1dd3b2f21aad4e38a815a0bd40"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaef4697e1ba348c4ac9358f2b9e279e93"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef4697e1ba348c4ac9358f2b9e279e93">twiddleCoef_16_q31</a> [24]</td></tr>
+<tr class="separator:gaef4697e1ba348c4ac9358f2b9e279e93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8ba78d5e6ef4bdc58e8f0044e0664a0a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8ba78d5e6ef4bdc58e8f0044e0664a0a">twiddleCoef_32_q31</a> [48]</td></tr>
+<tr class="separator:ga8ba78d5e6ef4bdc58e8f0044e0664a0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6e0a7e941a25a0d74b2e6590307de47e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6e0a7e941a25a0d74b2e6590307de47e">twiddleCoef_64_q31</a> [96]</td></tr>
+<tr class="separator:ga6e0a7e941a25a0d74b2e6590307de47e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafecf9ed9873415d9f5f17f37b30c7250"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafecf9ed9873415d9f5f17f37b30c7250">twiddleCoef_128_q31</a> [192]</td></tr>
+<tr class="separator:gafecf9ed9873415d9f5f17f37b30c7250"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaef1ea005053b715b851cf5f908168ede"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gaef1ea005053b715b851cf5f908168ede">twiddleCoef_256_q31</a> [384]</td></tr>
+<tr class="separator:gaef1ea005053b715b851cf5f908168ede"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga416c61b2f08542a39111e06b0378bebe"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga416c61b2f08542a39111e06b0378bebe">twiddleCoef_512_q31</a> [768]</td></tr>
+<tr class="separator:ga416c61b2f08542a39111e06b0378bebe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga514443c44b62b8b3d240afefebcda310"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga514443c44b62b8b3d240afefebcda310">twiddleCoef_1024_q31</a> [1536]</td></tr>
+<tr class="separator:ga514443c44b62b8b3d240afefebcda310"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9c5767de9f5a409fd0c2027e6ac67179"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9c5767de9f5a409fd0c2027e6ac67179">twiddleCoef_2048_q31</a> [3072]</td></tr>
+<tr class="separator:ga9c5767de9f5a409fd0c2027e6ac67179"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga67c0890317deab3391e276f22c1fc400"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga67c0890317deab3391e276f22c1fc400">twiddleCoef_4096_q31</a> [6144]</td></tr>
+<tr class="separator:ga67c0890317deab3391e276f22c1fc400"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8e4e2e05f4a3112184c96cb3308d6c39"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8e4e2e05f4a3112184c96cb3308d6c39">twiddleCoef_16_q15</a> [24]</td></tr>
+<tr class="separator:ga8e4e2e05f4a3112184c96cb3308d6c39"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gac194a4fe04a19051ae1811f69c6e5df2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gaa0cc411e0b3c82078e85cfdf1b84290f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabfdd1c5cd2b3f96da5fe5f07c707a8e5"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gabfdd1c5cd2b3f96da5fe5f07c707a8e5">twiddleCoef_128_q15</a> [192]</td></tr>
+<tr class="separator:gabfdd1c5cd2b3f96da5fe5f07c707a8e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6099ae5262a0a3a8d9ce1e6da02f0c2e"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6099ae5262a0a3a8d9ce1e6da02f0c2e">twiddleCoef_256_q15</a> [384]</td></tr>
+<tr class="separator:ga6099ae5262a0a3a8d9ce1e6da02f0c2e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6152621af210f847128c6f38958fa385"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga6152621af210f847128c6f38958fa385">twiddleCoef_512_q15</a> [768]</td></tr>
+<tr class="separator:ga6152621af210f847128c6f38958fa385"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8a0ec95d866fe96b740e77d6e1356b59"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga8a0ec95d866fe96b740e77d6e1356b59">twiddleCoef_1024_q15</a> [1536]</td></tr>
+<tr class="separator:ga8a0ec95d866fe96b740e77d6e1356b59"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadd16ce08ffd1048c385e0534a3b19cbb"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gadd16ce08ffd1048c385e0534a3b19cbb">twiddleCoef_2048_q15</a> [3072]</td></tr>
+<tr class="separator:gadd16ce08ffd1048c385e0534a3b19cbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9b409d6995eab17805b1d1881d4bc652"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">twiddleCoef_4096_q15</a> [6144]</td></tr>
+<tr class="separator:ga9b409d6995eab17805b1d1881d4bc652"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="gae247e83ad50d474107254e25b36ad42b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t armBitRevTable[1024]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Pseudo code for Generation of Bit reversal Table is </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(l=1;l &lt;= N/4;l++)    
+{    
+  for(i=0;i&lt;logN2;i++)    
+  {     
+    a[i]=l&amp;(1&lt;&lt;i);    
+  }    
+  for(j=0; j&lt;logN2; j++)    
+  {    
+    if (a[j]!=0)    
+    y[l]+=(1&lt;&lt;((logN2-1)-j));    
+  }    
+  y[l] = y[l] &gt;&gt; 1;    
+ } </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 logN2 = 12 </dd></dl>
+<dl class="section user"><dt></dt><dd>N is the maximum FFT Size supported </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga27c056eb130a4333d1cc5dd43ec738b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_1024[2048]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8a0ec95d866fe96b740e77d6e1356b59"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_1024_q15[1536]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga514443c44b62b8b3d240afefebcda310"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_1024_q31[1536]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 1024 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga948433536dafaac1381decfccf4e2d9c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_128[256]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabfdd1c5cd2b3f96da5fe5f07c707a8e5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_128_q15[192]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafecf9ed9873415d9f5f17f37b30c7250"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_128_q31[192]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 128 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae75e243ec61706427314270f222e0c8e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_16[32]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8e4e2e05f4a3112184c96cb3308d6c39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_16_q15[24]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaef4697e1ba348c4ac9358f2b9e279e93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_16_q31[24]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 16 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga23e7f30421a7905b21c2015429779633"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_2048[4096]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadd16ce08ffd1048c385e0534a3b19cbb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_2048_q15[3072]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9c5767de9f5a409fd0c2027e6ac67179"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_2048_q31[3072]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 2048 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gafe813758a03a798e972359a092315be4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_256[512]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6099ae5262a0a3a8d9ce1e6da02f0c2e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_256_q15[384]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaef1ea005053b715b851cf5f908168ede"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_256_q31[384]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 256 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga78a72c85d88185de98050c930cfc76e3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_32[64]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac194a4fe04a19051ae1811f69c6e5df2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_32_q15[48]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga8ba78d5e6ef4bdc58e8f0044e0664a0a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_32_q31[48]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 32 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae0182d1dd3b2f21aad4e38a815a0bd40"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_4096[8192]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9b409d6995eab17805b1d1881d4bc652"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_4096_q15[6144]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga67c0890317deab3391e276f22c1fc400"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_4096_q31[6144]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 4096 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad8830f0c068ab2cc19f2f87d220fa148"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_512[1024]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6152621af210f847128c6f38958fa385"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_512_q15[768]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga416c61b2f08542a39111e06b0378bebe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_512_q31[768]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 512 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga4f3c6d98c7e66393b4ef3ac63746e43d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> twiddleCoef_64[128]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Floating-point Twiddle factors Generation: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; N/; i++)    
+{    
+      twiddleCoef[2*i]= cos(i * 2*PI/(float)N);    
+      twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are in interleaved fashion </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa0cc411e0b3c82078e85cfdf1b84290f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> twiddleCoef_64_q15[96]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for q15 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to q15(Fixed point 1.15): round(twiddleCoefq15(i) * pow(2, 15)) </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga6e0a7e941a25a0d74b2e6590307de47e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> twiddleCoef_64_q31[96]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Example code for Q31 Twiddle factors Generation:: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>for(i = 0; i&lt; 3N/4; i++)    
+{    
+   twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);    
+   twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where N = 64 and PI = 3.14159265358979 </dd></dl>
+<dl class="section user"><dt></dt><dd>Cos and Sin values are interleaved fashion </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert Floating point to Q31(Fixed point 1.31): round(twiddleCoefQ31(i) * pow(2, 31)) </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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index 0000000..28caf65
--- /dev/null
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@@ -0,0 +1,31 @@
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diff --git a/Documentation/DSP/html/group___class_marks.html b/Documentation/DSP/html/group___class_marks.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Class Marks Example</title>
+<title>CMSIS-DSP: Class Marks Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
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+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___class_marks.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Class Marks Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance and Matrix functions to calculate statistical values of marks obtained in a class.</dd></dl>
+<dl class="section note"><dt>Note</dt><dd>This example also demonstrates the usage of static initialization.</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testMarks_f32</code> points to the marks scored by 20 students in 4 subjects </li>
+<li><code>max_marks</code> Maximum of all marks </li>
+<li><code>min_marks</code> Minimum of all marks </li>
+<li><code>mean</code> Mean of all marks </li>
+<li><code>var</code> Variance of the marks </li>
+<li><code>std</code> Standard deviation of the marks </li>
+<li><code>numStudents</code> Total number of students in the class</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32()</a></li>
+<li><a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32()</a></li>
+<li><a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8" title="Maximum value of a floating-point vector.">arm_max_f32()</a></li>
+<li><a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a" title="Minimum value of a floating-point vector.">arm_min_f32()</a></li>
+<li><a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b" title="Mean value of a floating-point vector.">arm_mean_f32()</a></li>
+<li><a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2" title="Standard deviation of the elements of a floating-point vector.">arm_std_f32()</a></li>
+<li><a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96" title="Variance of the elements of a floating-point vector.">arm_var_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_class_marks_example_f32_8c-example.html">arm_class_marks_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
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diff --git a/Documentation/DSP/html/group___cmplx_by_cmplx_mult.html b/Documentation/DSP/html/group___cmplx_by_cmplx_mult.html
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex-by-Complex Multiplication</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga14b47080054a1ba1250a86805be1ff6b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_cmplx_mult.html#ga14b47080054a1ba1250a86805be1ff6b">arm_cmplx_mult_cmplx_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga14b47080054a1ba1250a86805be1ff6b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex-by-complex multiplication.  <a href="#ga14b47080054a1ba1250a86805be1ff6b"></a><br/></td></tr>
+<tr class="separator:ga14b47080054a1ba1250a86805be1ff6b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga67e96abfc9c3e30efb70a2ec9d0fe7e8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_cmplx_mult.html#ga67e96abfc9c3e30efb70a2ec9d0fe7e8">arm_cmplx_mult_cmplx_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga67e96abfc9c3e30efb70a2ec9d0fe7e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex-by-complex multiplication.  <a href="#ga67e96abfc9c3e30efb70a2ec9d0fe7e8"></a><br/></td></tr>
+<tr class="separator:ga67e96abfc9c3e30efb70a2ec9d0fe7e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1829e50993a90742de225a0ce4213838"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_cmplx_mult.html#ga1829e50993a90742de225a0ce4213838">arm_cmplx_mult_cmplx_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga1829e50993a90742de225a0ce4213838"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex-by-complex multiplication.  <a href="#ga1829e50993a90742de225a0ce4213838"></a><br/></td></tr>
+<tr class="separator:ga1829e50993a90742de225a0ce4213838"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Multiplies a complex vector by another complex vector and generates a complex result. The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). The parameter <code>numSamples</code> represents the number of complex samples processed. The complex arrays have a total of <code>2*numSamples</code> real values.</p>
+<p>The underlying algorithm is used:</p>
+<pre>        
+for(n=0; n&lt;numSamples; n++) {        
+    pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];        
+    pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];        
+}        
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga14b47080054a1ba1250a86805be1ff6b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_cmplx_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a18">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga67e96abfc9c3e30efb70a2ec9d0fe7e8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_cmplx_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga1829e50993a90742de225a0ce4213838"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_cmplx_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. Input down scaling is not required. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+];
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex-by-Real Multiplication</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga9c18616f56cb4d3c0889ce0b339221ca"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_real_mult.html#ga9c18616f56cb4d3c0889ce0b339221ca">arm_cmplx_mult_real_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcCmplx, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcReal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCmplxDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga9c18616f56cb4d3c0889ce0b339221ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex-by-real multiplication.  <a href="#ga9c18616f56cb4d3c0889ce0b339221ca"></a><br/></td></tr>
+<tr class="separator:ga9c18616f56cb4d3c0889ce0b339221ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3bd8889dcb45980e1d3e53344df54e85"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_real_mult.html#ga3bd8889dcb45980e1d3e53344df54e85">arm_cmplx_mult_real_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcCmplx, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcReal, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCmplxDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga3bd8889dcb45980e1d3e53344df54e85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex-by-real multiplication.  <a href="#ga3bd8889dcb45980e1d3e53344df54e85"></a><br/></td></tr>
+<tr class="separator:ga3bd8889dcb45980e1d3e53344df54e85"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga715e4bb8e945b8ca51ec5237611697ce"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_by_real_mult.html#ga715e4bb8e945b8ca51ec5237611697ce">arm_cmplx_mult_real_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcCmplx, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcReal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCmplxDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga715e4bb8e945b8ca51ec5237611697ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex-by-real multiplication.  <a href="#ga715e4bb8e945b8ca51ec5237611697ce"></a><br/></td></tr>
+<tr class="separator:ga715e4bb8e945b8ca51ec5237611697ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Multiplies a complex vector by a real vector and generates a complex result. The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). The parameter <code>numSamples</code> represents the number of complex samples processed. The complex arrays have a total of <code>2*numSamples</code> real values while the real array has a total of <code>numSamples</code> real values.</p>
+<p>The underlying algorithm is used:</p>
+<pre>        
+for(n=0; n&lt;numSamples; n++) {        
+    pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];        
+    pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];        
+}        
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga9c18616f56cb4d3c0889ce0b339221ca"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_real_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcCmplx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCmplxDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcCmplx</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcReal</td><td>points to the real input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pCmplxDst</td><td>points to the complex output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3bd8889dcb45980e1d3e53344df54e85"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_real_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcCmplx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCmplxDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcCmplx</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcReal</td><td>points to the real input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pCmplxDst</td><td>points to the complex output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga715e4bb8e945b8ca51ec5237611697ce"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mult_real_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcCmplx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCmplxDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcCmplx</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcReal</td><td>points to the real input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pCmplxDst</td><td>points to the complex output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+</div>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex Matrix Multiplication</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga1adb839ac84445b8c2f04efa43faef35"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcB, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:ga1adb839ac84445b8c2f04efa43faef35"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Complex matrix multiplication.  <a href="#ga1adb839ac84445b8c2f04efa43faef35"></a><br/></td></tr>
+<tr class="separator:ga1adb839ac84445b8c2f04efa43faef35"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga63066615e7d6f6a44f4358725092419e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15</a> (const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch)</td></tr>
+<tr class="memdesc:ga63066615e7d6f6a44f4358725092419e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 Complex matrix multiplication.  <a href="#ga63066615e7d6f6a44f4358725092419e"></a><br/></td></tr>
+<tr class="separator:ga63066615e7d6f6a44f4358725092419e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaaf3c0b171ca8412c77bab9fa90804737"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:gaaf3c0b171ca8412c77bab9fa90804737"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 Complex matrix multiplication.  <a href="#gaaf3c0b171ca8412c77bab9fa90804737"></a><br/></td></tr>
+<tr class="separator:gaaf3c0b171ca8412c77bab9fa90804737"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Complex Matrix multiplication is only defined if the number of columns of the first matrix equals the number of rows of the second matrix. Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results in an <code>M x P</code> matrix. When matrix size checking is enabled, the functions check: (1) that the inner dimensions of <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga1adb839ac84445b8c2f04efa43faef35"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_cmplx_mult_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Floating-point, complex, matrix multiplication.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output complex matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga63066615e7d6f6a44f4358725092419e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_cmplx_mult_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Q15, complex, matrix multiplication.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output complex matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch</td><td>points to the array for storing intermediate results </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<dl class="section user"><dt>Conditions for optimum performance </dt><dd>Input, output and state buffers should be aligned by 32-bit</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The inputs to the multiplications are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93" title="Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4.">arm_mat_mult_fast_q15()</a></code> for a faster but less precise version of this function. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaaf3c0b171ca8412c77bab9fa90804737"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_cmplx_mult_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Q31, complex, matrix multiplication.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input complex matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output complex matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. The input is thus scaled down by log2(numColsA) bits to avoid overflows, as a total of numColsA additions are performed internally. The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Complex FFT Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> (const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p1, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, uint8_t bitReverseFlag)</td></tr>
+<tr class="memdesc:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point complex FFT.  <a href="#gade0f9c4ff157b6b9c72a1eafd86ebf80"></a><br/></td></tr>
+<tr class="separator:gade0f9c4ff157b6b9c72a1eafd86ebf80"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gac9565e6bc7229577ecf5e090313cafd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga5c5b2127b3c4ea2d03692127f8543858"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gabec9611e77382f31e152668bf6b4b638"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 CFFT/CIFFT.  <a href="#gabec9611e77382f31e152668bf6b4b638"></a><br/></td></tr>
+<tr class="separator:gabec9611e77382f31e152668bf6b4b638"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga55b424341dc3efd3fa0bcaaff4bdbf40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fixed-point CFFT/CIFFT.  <a href="#ga55b424341dc3efd3fa0bcaaff4bdbf40"></a><br/></td></tr>
+<tr class="separator:ga55b424341dc3efd3fa0bcaaff4bdbf40"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6321f703ec87a274aedaab33d3e766b4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31</a> (const <a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc)</td></tr>
+<tr class="memdesc:ga6321f703ec87a274aedaab33d3e766b4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fixed-point CFFT/CIFFT.  <a href="#ga6321f703ec87a274aedaab33d3e766b4"></a><br/></td></tr>
+<tr class="separator:ga6321f703ec87a274aedaab33d3e766b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga521f670cd9c571bc61aff9bec89f4c26"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point Radix-4 CFFT/CIFFT.  <a href="#ga521f670cd9c571bc61aff9bec89f4c26"></a><br/></td></tr>
+<tr class="separator:ga521f670cd9c571bc61aff9bec89f4c26"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga0c2acfda3126c452e75b81669e8ad9ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gad5caaafeec900c8ff72321c01bbd462c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 CFFT/CIFFT.  <a href="#gad5caaafeec900c8ff72321c01bbd462c"></a><br/></td></tr>
+<tr class="separator:gad5caaafeec900c8ff72321c01bbd462c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga8d66cdac41b8bf6cefdb895456eee84a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 CFFT/CIFFT.  <a href="#ga8d66cdac41b8bf6cefdb895456eee84a"></a><br/></td></tr>
+<tr class="separator:ga8d66cdac41b8bf6cefdb895456eee84a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafde3ee1f58cf393b45a9073174fff548"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31</a> (const <a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc)</td></tr>
+<tr class="memdesc:gafde3ee1f58cf393b45a9073174fff548"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 CFFT/CIFFT.  <a href="#gafde3ee1f58cf393b45a9073174fff548"></a><br/></td></tr>
+<tr class="separator:gafde3ee1f58cf393b45a9073174fff548"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<dl class="section user"><dt></dt><dd>The Fast Fourier Transform (FFT) is an efficient algorithm for computing the Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster than the DFT, especially for long lengths. The algorithms described in this section operate on complex data. A separate set of functions is devoted to handling of real sequences. </dd></dl>
+<dl class="section user"><dt></dt><dd>There are separate algorithms for handling floating-point, Q15, and Q31 data types. The algorithms available for each data type are described next. </dd></dl>
+<dl class="section user"><dt></dt><dd>The FFT functions operate in-place. That is, the array holding the input data will also be used to hold the corresponding result. The input data is complex and contains <code>2*fftLen</code> interleaved values as shown below. <pre> {real[0], imag[0], real[1], imag[1],..} </pre> The FFT result will be contained in the same array and the frequency domain values will have the same interleaving.</dd></dl>
+<dl class="section user"><dt>Floating-point</dt><dd>The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8 stages are performed along with a single radix-2 or radix-4 stage, as needed. The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses a different twiddle factor table. </dd></dl>
+<dl class="section user"><dt></dt><dd>The function uses the standard FFT definition and output values may grow by a factor of <code>fftLen</code> when computing the forward transform. The inverse transform includes a scale of <code>1/fftLen</code> as part of the calculation and this matches the textbook definition of the inverse FFT. </dd></dl>
+<dl class="section user"><dt></dt><dd>Pre-initialized data structures containing twiddle factors and bit reversal tables are provided and defined in <code><a class="el" href="arm__const__structs_8h.html">arm_const_structs.h</a></code>. Include this header in your function and then pass one of the constant structures as an argument to arm_cfft_f32. For example: </dd></dl>
+<dl class="section user"><dt></dt><dd><code>arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>computes a 64-point inverse complex FFT including bit reversal. The data structures are treated as constant data and not modified during the calculation. The same data structure can be reused for multiple transforms including mixing forward and inverse transforms. </dd></dl>
+<dl class="section user"><dt></dt><dd>Earlier releases of the library provided separate radix-2 and radix-4 algorithms that operated on floating-point data. These functions are still provided but are deprecated. The older functions are slower and less general than the new functions. </dd></dl>
+<dl class="section user"><dt></dt><dd>An example of initialization of the constants for the arm_cfft_f32 function follows: <div class="fragment"><div class="line"><span class="keyword">const</span> <span class="keyword">static</span> <a class="code" href="structarm__cfft__instance__f32.html" title="Instance structure for the floating-point CFFT/CIFFT function.">arm_cfft_instance_f32</a> *S;</div>
+<div class="line">...</div>
+<div class="line">  <span class="keywordflow">switch</span> (length) {</div>
+<div class="line">    <span class="keywordflow">case</span> 16:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a27127e9d3deb59df12747233b1b9ea31">arm_cfft_sR_f32_len16</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 32:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a5fed2b5e0cc4cb5b8675f14daf226a25">arm_cfft_sR_f32_len32</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 64:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#af94d90db836f662321946154c76b5b80">arm_cfft_sR_f32_len64</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 128:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#ad283193397ba476465a330db9a955973">arm_cfft_sR_f32_len128</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 256:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#aeb2f0a0be605963264217cc10b7bd3b2">arm_cfft_sR_f32_len256</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 512:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a15f6e533f5cfeb014839303d8ed52e19">arm_cfft_sR_f32_len512</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 1024:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a05abc294a9159abbd6ffb4f188fe18b1">arm_cfft_sR_f32_len1024</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 2048:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a8d2fad347dcadc47377e1226231b9f62">arm_cfft_sR_f32_len2048</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 4096:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a01d2dbdb8193d43c2b7f003f9cb9a39d">arm_cfft_sR_f32_len4096</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">  }</div>
+</div><!-- fragment --> </dd></dl>
+<dl class="section user"><dt>Q15 and Q31</dt><dd>The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4 stages are performed along with a single radix-2 stage, as needed. The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses a different twiddle factor table. </dd></dl>
+<dl class="section user"><dt></dt><dd>The function uses the standard FFT definition and output values may grow by a factor of <code>fftLen</code> when computing the forward transform. The inverse transform includes a scale of <code>1/fftLen</code> as part of the calculation and this matches the textbook definition of the inverse FFT. </dd></dl>
+<dl class="section user"><dt></dt><dd>Pre-initialized data structures containing twiddle factors and bit reversal tables are provided and defined in <code><a class="el" href="arm__const__structs_8h.html">arm_const_structs.h</a></code>. Include this header in your function and then pass one of the constant structures as an argument to arm_cfft_q31. For example: </dd></dl>
+<dl class="section user"><dt></dt><dd><code>arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>computes a 64-point inverse complex FFT including bit reversal. The data structures are treated as constant data and not modified during the calculation. The same data structure can be reused for multiple transforms including mixing forward and inverse transforms. </dd></dl>
+<dl class="section user"><dt></dt><dd>Earlier releases of the library provided separate radix-2 and radix-4 algorithms that operated on floating-point data. These functions are still provided but are deprecated. The older functions are slower and less general than the new functions. </dd></dl>
+<dl class="section user"><dt></dt><dd>An example of initialization of the constants for the arm_cfft_q31 function follows: <div class="fragment"><div class="line"><span class="keyword">const</span> <span class="keyword">static</span> <a class="code" href="structarm__cfft__instance__q31.html" title="Instance structure for the fixed-point CFFT/CIFFT function.">arm_cfft_instance_q31</a> *S;</div>
+<div class="line">...</div>
+<div class="line">  <span class="keywordflow">switch</span> (length) {</div>
+<div class="line">    <span class="keywordflow">case</span> 16:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a1336431c4d2a88d32c42308cfe2defa1">arm_cfft_sR_q31_len16</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 32:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a4c083c013ef17920cf8f28dc6f139a39">arm_cfft_sR_q31_len32</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 64:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#ad11668a5662334e0bc6a2811c9cb1047">arm_cfft_sR_q31_len64</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 128:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a9a2fcdb54300f75ef1fafe02954e9a61">arm_cfft_sR_q31_len128</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 256:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a3f2de67938bd228918e40f60f18dd6b5">arm_cfft_sR_q31_len256</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 512:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#aa337272cf78aaf6075e7e19d0a097d6f">arm_cfft_sR_q31_len512</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 1024:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#ada9813a027999f3cff066c9f7b5df51b">arm_cfft_sR_q31_len1024</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 2048:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#a420622d75b277070784083ddd44b95fb">arm_cfft_sR_q31_len2048</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">    <span class="keywordflow">case</span> 4096:</div>
+<div class="line">      S = &amp;<a class="code" href="arm__const__structs_8c.html#abfc9595f40a1c7aaba85e1328d824b1c">arm_cfft_sR_q31_len4096</a>;</div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">  }</div>
+</div><!-- fragment --> </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gade0f9c4ff157b6b9c72a1eafd86ebf80"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point CFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*p1</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a11">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__cfft__f32_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_bitreversal_32()</a>, <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#a72350c6eaa1eef8796ab43c1497c6b9c">arm_radix8_butterfly_f32()</a>, <a class="el" href="structarm__cfft__instance__f32.html#a3ba329ed153d182746376208e773d648">arm_cfft_instance_f32::bitRevLength</a>, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32::fftLen</a>, <a class="el" href="structarm__cfft__instance__f32.html#a21ceaf59a1bb8440af57c28d2dd9bbab">arm_cfft_instance_f32::pBitRevTable</a>, and <a class="el" href="structarm__cfft__instance__f32.html#a59cc6f753f1498716e1444ac054c06de">arm_cfft_instance_f32::pTwiddle</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>, and <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga68cdacd2267a2967955e40e6b7ec1229"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>p1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 CFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*p1</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__cfft__q15_8c.html#a773957c278f4d9e728711f27e8a6e278">arm_bitreversal_16()</a>, <a class="el" href="arm__cfft__q15_8c.html#abe669acc8db57d1fb9b1e2bba30f2224">arm_cfft_radix4by2_inverse_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#af1d4a751153857c173511e0c77ab4fa9">arm_cfft_radix4by2_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_radix4_butterfly_inverse_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_radix4_butterfly_q15()</a>, <a class="el" href="structarm__cfft__instance__q15.html#a738907cf34bdbbaf724414ac2decbc3c">arm_cfft_instance_q15::bitRevLength</a>, <a class="el" href="structarm__cfft__instance__q15.html#a5f9e1d3a8c127ee323b5e6929aeb90df">arm_cfft_instance_q15::fftLen</a>, <a class="el" href="structarm__cfft__instance__q15.html#ac9160b80243b99a0b6e2f75ddb5cf0ae">arm_cfft_instance_q15::pBitRevTable</a>, and <a class="el" href="structarm__cfft__instance__q15.html#afdaf12ce4687cec021c5ae73d0987a3f">arm_cfft_instance_q15::pTwiddle</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5a0008bd997ab6e2e299ef2fb272fb4b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>p1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the fixed-point CFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*p1</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__cfft__f32_8c.html#ac8e7ebe1cb131a5b0f55d0464640591f">arm_bitreversal_32()</a>, <a class="el" href="arm__cfft__q31_8c.html#a3f3ae10bc2057cc1360abfa25f224c8c">arm_cfft_radix4by2_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#af6df8bf714c30d44e6b871ea87d22b30">arm_cfft_radix4by2_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31()</a>, <a class="el" href="structarm__cfft__instance__q31.html#a2250fa6b8fe73292c5418c50c0549f87">arm_cfft_instance_q31::bitRevLength</a>, <a class="el" href="structarm__cfft__instance__q31.html#a4406f23e8fd0bff8d555225612e2a2a8">arm_cfft_instance_q31::fftLen</a>, <a class="el" href="structarm__cfft__instance__q31.html#a8a464461649f023325ced1e10470f5d0">arm_cfft_instance_q31::pBitRevTable</a>, and <a class="el" href="structarm__cfft__instance__q31.html#af751114feb91de3ace8600e91bdd0872">arm_cfft_instance_q31::pTwiddle</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9fadd650b802f612ae558ddaab789a6d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix2_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix2__instance__f32.html">arm_cfft_radix2_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000001">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point Radix-2 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32()</a>, <a class="el" href="arm__cfft__radix2__f32_8c.html#a04631e102b5209af3402b225b1abe868">arm_radix2_butterfly_f32()</a>, <a class="el" href="arm__cfft__radix2__f32_8c.html#abda34af152e515a95ac38470ac053b77">arm_radix2_butterfly_inverse_f32()</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#af713b4ac5256a19bc965c89fe3005fa3">arm_cfft_radix2_instance_f32::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#ac1688dafa5177f6b1505abbfd0cf8b21">arm_cfft_radix2_instance_f32::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a2f915a1c29635c1623086aaaa726be8f">arm_cfft_radix2_instance_f32::fftLen</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a8dbe98d2c924e35e0a3fed2fe948176f">arm_cfft_radix2_instance_f32::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a1d3d289d47443e597d88a40effd14b8f">arm_cfft_radix2_instance_f32::onebyfftLen</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a92b8fa0a151cd800436094903a5ca0a4">arm_cfft_radix2_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#adb0c9d47dbfbd90a6f6ed0a05313a974">arm_cfft_radix2_instance_f32::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix2__instance__f32.html#a411f75b6ed01690293f4f5988030ea42">arm_cfft_radix2_instance_f32::twidCoefModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac9565e6bc7229577ecf5e090313cafd7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix2_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix2__instance__f32.html">arm_cfft_radix2_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000002">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#af713b4ac5256a19bc965c89fe3005fa3">arm_cfft_radix2_instance_f32::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#ac1688dafa5177f6b1505abbfd0cf8b21">arm_cfft_radix2_instance_f32::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a2f915a1c29635c1623086aaaa726be8f">arm_cfft_radix2_instance_f32::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a8dbe98d2c924e35e0a3fed2fe948176f">arm_cfft_radix2_instance_f32::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a1d3d289d47443e597d88a40effd14b8f">arm_cfft_radix2_instance_f32::onebyfftLen</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a92b8fa0a151cd800436094903a5ca0a4">arm_cfft_radix2_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#adb0c9d47dbfbd90a6f6ed0a05313a974">arm_cfft_radix2_instance_f32::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix2__instance__f32.html#a411f75b6ed01690293f4f5988030ea42">arm_cfft_radix2_instance_f32::twidCoefModifier</a>, and <a class="el" href="arm__common__tables_8h.html#a9bf8c85e4c91b9b55818b3d650d2c761">twiddleCoef</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5c5b2127b3c4ea2d03692127f8543858"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix2_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix2__instance__q15.html">arm_cfft_radix2_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000003">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#af8300c1f60caa21e6b44b9240ab5af19">arm_cfft_radix2_instance_q15::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a8722720c542cabd41df83fe88ef4f4cb">arm_cfft_radix2_instance_q15::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a874085647351dcf3f0de39d2b1d49744">arm_cfft_radix2_instance_q15::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#ab5c073286bdd2f6e2bf783ced36bf1de">arm_cfft_radix2_instance_q15::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#ab88afeff6493be3c8b5e4530efa82d51">arm_cfft_radix2_instance_q15::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a3809dd15e7cbf1a054c728cfbbb0cc5a">arm_cfft_radix2_instance_q15::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a6f2ab87fb4c568656e1f92f687b5c850">arm_cfft_radix2_instance_q15::twidCoefModifier</a>, and <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">twiddleCoef_4096_q15</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabec9611e77382f31e152668bf6b4b638"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix2_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000004">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a6239b8d268285334e88c008c07d68616">arm_cfft_radix2_instance_q31::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a9d17a87263953fe3559a007512c9f3a4">arm_cfft_radix2_instance_q31::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a960199f1373a192366878ef279eab00f">arm_cfft_radix2_instance_q31::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a2607378ce64be16698bb8a3b1af8d3c8">arm_cfft_radix2_instance_q31::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#ada8e5264f4b22ff4c621817978994674">arm_cfft_radix2_instance_q31::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a1d5bbe9a991e133f81652a77a7985d23">arm_cfft_radix2_instance_q31::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1">arm_cfft_radix2_instance_q31::twidCoefModifier</a>, and <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga67c0890317deab3391e276f22c1fc400">twiddleCoef_4096_q31</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga55b424341dc3efd3fa0bcaaff4bdbf40"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix2_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix2__instance__q15.html">arm_cfft_radix2_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000005">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the fixed-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a12a07b49948c354172ae07358309a4a5">arm_bitreversal_q15()</a>, <a class="el" href="arm__cfft__radix2__q15_8c.html#a91ff93fa10757b3872680fec4835c412">arm_radix2_butterfly_inverse_q15()</a>, <a class="el" href="arm__cfft__radix2__q15_8c.html#a521780ba2fd3450cbf02784e38859699">arm_radix2_butterfly_q15()</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a8722720c542cabd41df83fe88ef4f4cb">arm_cfft_radix2_instance_q15::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a874085647351dcf3f0de39d2b1d49744">arm_cfft_radix2_instance_q15::fftLen</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#ab5c073286bdd2f6e2bf783ced36bf1de">arm_cfft_radix2_instance_q15::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#ab88afeff6493be3c8b5e4530efa82d51">arm_cfft_radix2_instance_q15::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q15.html#a3809dd15e7cbf1a054c728cfbbb0cc5a">arm_cfft_radix2_instance_q15::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix2__instance__q15.html#a6f2ab87fb4c568656e1f92f687b5c850">arm_cfft_radix2_instance_q15::twidCoefModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6321f703ec87a274aedaab33d3e766b4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix2_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000006">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the fixed-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a27618705158b5c42db5fb0a381f8efc1">arm_bitreversal_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a4d665f67080455b95cafec04009fd52d">arm_radix2_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__radix2__q31_8c.html#a740f4fe69e6148d22fc99f374d304e7e">arm_radix2_butterfly_q31()</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a9d17a87263953fe3559a007512c9f3a4">arm_cfft_radix2_instance_q31::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a960199f1373a192366878ef279eab00f">arm_cfft_radix2_instance_q31::fftLen</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a2607378ce64be16698bb8a3b1af8d3c8">arm_cfft_radix2_instance_q31::ifftFlag</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#ada8e5264f4b22ff4c621817978994674">arm_cfft_radix2_instance_q31::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix2__instance__q31.html#a1d5bbe9a991e133f81652a77a7985d23">arm_cfft_radix2_instance_q31::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1">arm_cfft_radix2_instance_q31::twidCoefModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga521f670cd9c571bc61aff9bec89f4c26"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000007">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point Radix-4 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a17">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32()</a>, <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_radix4_butterfly_f32()</a>, <a class="el" href="arm__cfft__radix4__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_radix4_butterfly_inverse_f32()</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ac10927a1620195a88649ce63dab66120">arm_cfft_radix4_instance_f32::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#acc8cb18a8b901b8321ab9d86491e41a3">arm_cfft_radix4_instance_f32::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a">arm_cfft_radix4_instance_f32::fftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a25d1da64dd6487c291f04d226f9acc66">arm_cfft_radix4_instance_f32::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd">arm_cfft_radix4_instance_f32::onebyfftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a8da0d2ca69749fde8cbb95caeac6fe6a">arm_cfft_radix4_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a14860c7544911702ca1fa0bf78204ef3">arm_cfft_radix4_instance_f32::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee">arm_cfft_radix4_instance_f32::twidCoefModifier</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf336459f684f0b17bfae539ef1b1b78a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix4_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000008">Deprecated:</a></b></dt><dd>Do not use this function. It has been superceded by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a16">arm_convolution_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ac10927a1620195a88649ce63dab66120">arm_cfft_radix4_instance_f32::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#acc8cb18a8b901b8321ab9d86491e41a3">arm_cfft_radix4_instance_f32::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a">arm_cfft_radix4_instance_f32::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a25d1da64dd6487c291f04d226f9acc66">arm_cfft_radix4_instance_f32::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd">arm_cfft_radix4_instance_f32::onebyfftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a8da0d2ca69749fde8cbb95caeac6fe6a">arm_cfft_radix4_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a14860c7544911702ca1fa0bf78204ef3">arm_cfft_radix4_instance_f32::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee">arm_cfft_radix4_instance_f32::twidCoefModifier</a>, and <a class="el" href="arm__common__tables_8h.html#a9bf8c85e4c91b9b55818b3d650d2c761">twiddleCoef</a>.</p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0c2acfda3126c452e75b81669e8ad9ef"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix4_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000009">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a101e3f7b0bd6b5b14cd5214f23df4133">arm_cfft_radix4_instance_q15::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a6b010e5f02d1130c621e3d2e26b95df1">arm_cfft_radix4_instance_q15::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a5fc543e7d84ca8cb7cf6648970f21ca6">arm_cfft_radix4_instance_q15::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a2ecff6ea735cb4d22e922d0fd5736655">arm_cfft_radix4_instance_q15::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a4acf704ae0cf30b53bf0fbfae8e34a59">arm_cfft_radix4_instance_q15::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a29dd693537e45421a36891f8439e1fba">arm_cfft_radix4_instance_q15::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#af32fdc78bcc27ca385f9b76a0a1f71c3">arm_cfft_radix4_instance_q15::twidCoefModifier</a>, and <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga9b409d6995eab17805b1d1881d4bc652">twiddleCoef_4096_q15</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad5caaafeec900c8ff72321c01bbd462c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_cfft_radix4_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000010">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae247e83ad50d474107254e25b36ad42b">armBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a5a7c4f4c7b3fb655cbb2bc11ef160a2a">arm_cfft_radix4_instance_q31::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a94d2fead4efa4d5eaae142bbe30b0e15">arm_cfft_radix4_instance_q31::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#ab413d2a5d3f45fa187d93813bf3bf81b">arm_cfft_radix4_instance_q31::fftLen</a>, <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#adc0a62ba669ad2282ecbe43d5d96abab">arm_cfft_radix4_instance_q31::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a33a3bc774c97373261699463c05dfe54">arm_cfft_radix4_instance_q31::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a561c22dee4cbdcfa0fd5f15106ecc306">arm_cfft_radix4_instance_q31::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a8cf8187b8232815cf17ee82bf572ecf9">arm_cfft_radix4_instance_q31::twidCoefModifier</a>, and <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga67c0890317deab3391e276f22c1fc400">twiddleCoef_4096_q31</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8d66cdac41b8bf6cefdb895456eee84a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000011">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Input and output formats: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different FFT sizes. The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="CFFTQ15.gif" alt="CFFTQ15.gif"/>
+<div class="caption">
+Input and Output Formats for Q15 CFFT</div></div>
+ <div class="image">
+<img src="CIFFTQ15.gif" alt="CIFFTQ15.gif"/>
+<div class="caption">
+Input and Output Formats for Q15 CIFFT</div></div>
+ </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a12a07b49948c354172ae07358309a4a5">arm_bitreversal_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#a734ecff00f21a6a10e9ec437c8987eb1">arm_radix4_butterfly_inverse_q15()</a>, <a class="el" href="arm__cfft__q15_8c.html#abf1a2f9aa9f44ad5da1f0dbae8b54f2f">arm_radix4_butterfly_q15()</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a101e3f7b0bd6b5b14cd5214f23df4133">arm_cfft_radix4_instance_q15::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a6b010e5f02d1130c621e3d2e26b95df1">arm_cfft_radix4_instance_q15::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a5fc543e7d84ca8cb7cf6648970f21ca6">arm_cfft_radix4_instance_q15::fftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a2ecff6ea735cb4d22e922d0fd5736655">arm_cfft_radix4_instance_q15::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a4acf704ae0cf30b53bf0fbfae8e34a59">arm_cfft_radix4_instance_q15::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q15.html#a29dd693537e45421a36891f8439e1fba">arm_cfft_radix4_instance_q15::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix4__instance__q15.html#af32fdc78bcc27ca385f9b76a0a1f71c3">arm_cfft_radix4_instance_q15::twidCoefModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gafde3ee1f58cf393b45a9073174fff548"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cfft_radix4_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000012">Deprecated:</a></b></dt><dd>Do not use this function. It has been superseded by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31</a> and will be removed </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pSrc</td><td>points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Input and output formats: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different FFT sizes. The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="CFFTQ31.gif" alt="CFFTQ31.gif"/>
+<div class="caption">
+Input and Output Formats for Q31 CFFT</div></div>
+ <div class="image">
+<img src="CIFFTQ31.gif" alt="CIFFTQ31.gif"/>
+<div class="caption">
+Input and Output Formats for Q31 CIFFT</div></div>
+ </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a27618705158b5c42db5fb0a381f8efc1">arm_bitreversal_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#ac9c7c553114c1201a3a987a11b8a6d01">arm_radix4_butterfly_inverse_q31()</a>, <a class="el" href="arm__cfft__q31_8c.html#ac12f1e7f159d5741358cdc36830a0395">arm_radix4_butterfly_q31()</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a5a7c4f4c7b3fb655cbb2bc11ef160a2a">arm_cfft_radix4_instance_q31::bitReverseFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a94d2fead4efa4d5eaae142bbe30b0e15">arm_cfft_radix4_instance_q31::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#ab413d2a5d3f45fa187d93813bf3bf81b">arm_cfft_radix4_instance_q31::fftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#adc0a62ba669ad2282ecbe43d5d96abab">arm_cfft_radix4_instance_q31::ifftFlag</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a33a3bc774c97373261699463c05dfe54">arm_cfft_radix4_instance_q31::pBitRevTable</a>, <a class="el" href="structarm__cfft__radix4__instance__q31.html#a561c22dee4cbdcfa0fd5f15106ecc306">arm_cfft_radix4_instance_q31::pTwiddle</a>, and <a class="el" href="structarm__cfft__radix4__instance__q31.html#a8cf8187b8232815cf17ee82bf572ecf9">arm_cfft_radix4_instance_q31::twidCoefModifier</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+<div class="title">Convolution</div>  </div>
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+Functions</h2></td></tr>
+<tr class="memitem:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89">arm_conv_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of floating-point sequences.  <a href="#ga3f860dc98c6fc4cafc421e4a2aed3c89"></a><br/></td></tr>
+<tr class="separator:ga3f860dc98c6fc4cafc421e4a2aed3c89"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf16f490d245391ec18a42adc73d6d749"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:gaf16f490d245391ec18a42adc73d6d749"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#gaf16f490d245391ec18a42adc73d6d749"></a><br/></td></tr>
+<tr class="separator:gaf16f490d245391ec18a42adc73d6d749"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad75ca978ce906e04abdf86a8d76306d4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4">arm_conv_fast_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:gad75ca978ce906e04abdf86a8d76306d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#gad75ca978ce906e04abdf86a8d76306d4"></a><br/></td></tr>
+<tr class="separator:gad75ca978ce906e04abdf86a8d76306d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga51112dcdf9b3624eb05182cdc4da9ec0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0">arm_conv_fast_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga51112dcdf9b3624eb05182cdc4da9ec0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#ga51112dcdf9b3624eb05182cdc4da9ec0"></a><br/></td></tr>
+<tr class="separator:ga51112dcdf9b3624eb05182cdc4da9ec0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac77dbcaef5c754cac27eab96c4753a3c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:gac77dbcaef5c754cac27eab96c4753a3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q15 sequences.  <a href="#gac77dbcaef5c754cac27eab96c4753a3c"></a><br/></td></tr>
+<tr class="separator:gac77dbcaef5c754cac27eab96c4753a3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4c7cf073e89d6d57cc4e711f078c3f68"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:ga4c7cf073e89d6d57cc4e711f078c3f68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q7 sequences.  <a href="#ga4c7cf073e89d6d57cc4e711f078c3f68"></a><br/></td></tr>
+<tr class="separator:ga4c7cf073e89d6d57cc4e711f078c3f68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaccd6a89b0ff7a94df64610598e6e6893"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893">arm_conv_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:gaccd6a89b0ff7a94df64610598e6e6893"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q15 sequences.  <a href="#gaccd6a89b0ff7a94df64610598e6e6893"></a><br/></td></tr>
+<tr class="separator:gaccd6a89b0ff7a94df64610598e6e6893"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga946b58da734f1e4e78c91fcaab4b12b6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6">arm_conv_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga946b58da734f1e4e78c91fcaab4b12b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q31 sequences.  <a href="#ga946b58da734f1e4e78c91fcaab4b12b6"></a><br/></td></tr>
+<tr class="separator:ga946b58da734f1e4e78c91fcaab4b12b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae2070cb792a167e78dbad8d06b97cdab"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___conv.html#gae2070cb792a167e78dbad8d06b97cdab">arm_conv_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst)</td></tr>
+<tr class="memdesc:gae2070cb792a167e78dbad8d06b97cdab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convolution of Q7 sequences.  <a href="#gae2070cb792a167e78dbad8d06b97cdab"></a><br/></td></tr>
+<tr class="separator:gae2070cb792a167e78dbad8d06b97cdab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector. Convolution is similar to correlation and is frequently used in filtering and data analysis. The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types. The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively. Then the convolution</dd></dl>
+<pre>    
+                  c[n] = a[n] * b[n]    
+</pre><dl class="section user"><dt></dt><dd>is defined as <div class="image">
+<img src="ConvolutionEquation.gif" alt="ConvolutionEquation.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>Note that <code>c[n]</code> is of length <code>srcALen + srcBLen - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., srcALen + srcBLen - 2</code>. <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>. The output result is written to <code>pDst</code> and the calling function must allocate <code>srcALen+srcBLen-1</code> words for the result.</dd></dl>
+<dl class="section user"><dt></dt><dd>Conceptually, when two signals <code>a[n]</code> and <code>b[n]</code> are convolved, the signal <code>b[n]</code> slides over <code>a[n]</code>. For each offset <code>n</code>, the overlapping portions of a[n] and b[n] are multiplied and summed together.</dd></dl>
+<dl class="section user"><dt></dt><dd>Note that convolution is a commutative operation:</dd></dl>
+<pre>    
+                  a[n] * b[n] = b[n] * a[n].    
+</pre><dl class="section user"><dt></dt><dd>This means that switching the A and B arguments to the convolution functions has no effect.</dd></dl>
+<p><b>Fixed-Point Behavior</b></p>
+<dl class="section user"><dt></dt><dd>Convolution requires summing up a large number of intermediate products. As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. Refer to the function specific documentation below for further details of the particular algorithm used.</dd></dl>
+<p><b>Fast Versions</b></p>
+<dl class="section user"><dt></dt><dd>Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires the input signals should be scaled down to avoid intermediate overflows.</dd></dl>
+<p><b>Opt Versions</b></p>
+<dl class="section user"><dt></dt><dd>Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga3f860dc98c6fc4cafc421e4a2aed3c89"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf16f490d245391ec18a42adc73d6d749"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_fast_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, as maximum of min(srcALen, srcBLen) number of additions are carried internally. The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893" title="Convolution of Q15 sequences.">arm_conv_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad75ca978ce906e04abdf86a8d76306d4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, as maximum of min(srcALen, srcBLen) number of additions are carried internally. The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893" title="Convolution of Q15 sequences.">arm_conv_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga51112dcdf9b3624eb05182cdc4da9ec0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This function is optimized for speed at the expense of fixed-point precision and overflow protection. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 format. Finally, the accumulator is saturated and converted to a 1.31 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signals must be scaled down. Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, as maximum of min(srcALen, srcBLen) number of additions are carried internally.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6" title="Convolution of Q31 sequences.">arm_conv_q31()</a></code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac77dbcaef5c754cac27eab96c4753a3c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both inputs are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4" title="Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga4c7cf073e89d6d57cc4e711f078c3f68"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_opt_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)&lt;131072</code>. The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaccd6a89b0ff7a94df64610598e6e6893"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both inputs are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___conv.html#gad75ca978ce906e04abdf86a8d76306d4" title="Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c" title="Convolution of Q15 sequences.">arm_conv_opt_q15()</a></code> for a faster implementation of this function using scratch buffers. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga946b58da734f1e4e78c91fcaab4b12b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, as maximum of min(srcALen, srcBLen) number of additions are carried internally. The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0" title="Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_fast_q31()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae2070cb792a167e78dbad8d06b97cdab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_conv_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length srcALen+srcBLen-1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)&lt;131072</code>. The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68" title="Convolution of Q7 sequences.">arm_conv_opt_q7()</a></code> for a faster implementation of this function. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "arm_conv_fast_opt_q15", "group___conv.html#gaf16f490d245391ec18a42adc73d6d749", null ],
+    [ "arm_conv_fast_q15", "group___conv.html#gad75ca978ce906e04abdf86a8d76306d4", null ],
+    [ "arm_conv_fast_q31", "group___conv.html#ga51112dcdf9b3624eb05182cdc4da9ec0", null ],
+    [ "arm_conv_opt_q15", "group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c", null ],
+    [ "arm_conv_opt_q7", "group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68", null ],
+    [ "arm_conv_q15", "group___conv.html#gaccd6a89b0ff7a94df64610598e6e6893", null ],
+    [ "arm_conv_q31", "group___conv.html#ga946b58da734f1e4e78c91fcaab4b12b6", null ],
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+];
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Convolution Example</title>
+<title>CMSIS-DSP: Convolution Example</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<div class="title">Convolution Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex Multiplication, and Support Functions.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The convolution theorem states that convolution in the time domain corresponds to multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of two signals is equal to the product of their individual Fourier transforms. The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT). </dd></dl>
+<dl class="section user"><dt></dt><dd>Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths <code>n1</code> and <code>n2</code> respectively, are zero padded so that their lengths become <code>N</code>, which is greater than or equal to <code>(n1+n2-1)</code> and is a power of 4 as FFT implementation is radix-4. The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of the multiplied result. </dd></dl>
+<dl class="section user"><dt></dt><dd>This is denoted by the following equations: <pre> A[k] = FFT(a[n],N)
+B[k] = FFT(b[n],N)
+conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre> where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code> and <code>b[n]</code> respectively. The length of the convolved signal is <code>(n1+n2-1)</code>.</dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="Convolution.gif" alt="Convolution.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInputA_f32</code> points to the first input sequence </li>
+<li><code>srcALen</code> length of the first input sequence </li>
+<li><code>testInputB_f32</code> points to the second input sequence </li>
+<li><code>srcBLen</code> length of the second input sequence </li>
+<li><code>outLen</code> length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code> </li>
+<li><code>AxB</code> points to the output array where the product of individual FFTs of inputs is stored.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32()</a></li>
+<li><a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32()</a></li>
+<li><a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a" title="Initialization function for the floating-point CFFT/CIFFT.">arm_cfft_radix4_init_f32()</a></li>
+<li><a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32()</a></li>
+<li><a class="el" href="group___cmplx_by_cmplx_mult.html#ga14b47080054a1ba1250a86805be1ff6b" title="Floating-point complex-by-complex multiplication.">arm_cmplx_mult_cmplx_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_convolution_example_f32_8c-example.html">arm_convolution_example_f32.c</a> </p>
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+<div class="title">Correlation</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga22021e4222773f01e9960358a531cfb8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga22021e4222773f01e9960358a531cfb8">arm_correlate_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga22021e4222773f01e9960358a531cfb8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of floating-point sequences.  <a href="#ga22021e4222773f01e9960358a531cfb8"></a><br/></td></tr>
+<tr class="separator:ga22021e4222773f01e9960358a531cfb8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga40a0236b17220e8e22a22b5bc1c53c6b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch)</td></tr>
+<tr class="memdesc:ga40a0236b17220e8e22a22b5bc1c53c6b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#ga40a0236b17220e8e22a22b5bc1c53c6b"></a><br/></td></tr>
+<tr class="separator:ga40a0236b17220e8e22a22b5bc1c53c6b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac8de3da44f58e86c2c86156276ca154f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f">arm_correlate_fast_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:gac8de3da44f58e86c2c86156276ca154f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#gac8de3da44f58e86c2c86156276ca154f"></a><br/></td></tr>
+<tr class="separator:gac8de3da44f58e86c2c86156276ca154f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabecd3d7b077dbbef43f93e9e037815ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed">arm_correlate_fast_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:gabecd3d7b077dbbef43f93e9e037815ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#gabecd3d7b077dbbef43f93e9e037815ed"></a><br/></td></tr>
+<tr class="separator:gabecd3d7b077dbbef43f93e9e037815ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gad71c0ec70ec69edbc48563d9a5f68451"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q15 sequences.  <a href="#gad71c0ec70ec69edbc48563d9a5f68451"></a><br/></td></tr>
+<tr class="separator:gad71c0ec70ec69edbc48563d9a5f68451"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga746e8857cafe33ec5d6780729c18c311"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:ga746e8857cafe33ec5d6780729c18c311"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q7 sequences.  <a href="#ga746e8857cafe33ec5d6780729c18c311"></a><br/></td></tr>
+<tr class="separator:ga746e8857cafe33ec5d6780729c18c311"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5ec96b8e420d68b0e626df0812274d46"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46">arm_correlate_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga5ec96b8e420d68b0e626df0812274d46"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q15 sequences.  <a href="#ga5ec96b8e420d68b0e626df0812274d46"></a><br/></td></tr>
+<tr class="separator:ga5ec96b8e420d68b0e626df0812274d46"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1367dc6c80476406c951e68d7fac4e8c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c">arm_correlate_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga1367dc6c80476406c951e68d7fac4e8c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q31 sequences.  <a href="#ga1367dc6c80476406c951e68d7fac4e8c"></a><br/></td></tr>
+<tr class="separator:ga1367dc6c80476406c951e68d7fac4e8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga284ddcc49e4ac532d52a70d0383c5992"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___corr.html#ga284ddcc49e4ac532d52a70d0383c5992">arm_correlate_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga284ddcc49e4ac532d52a70d0383c5992"><td class="mdescLeft">&#160;</td><td class="mdescRight">Correlation of Q7 sequences.  <a href="#ga284ddcc49e4ac532d52a70d0383c5992"></a><br/></td></tr>
+<tr class="separator:ga284ddcc49e4ac532d52a70d0383c5992"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Correlation is a mathematical operation that is similar to convolution. As with convolution, correlation uses two signals to produce a third signal. The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution. Correlation is commonly used to measure the similarity between two signals. It has applications in pattern recognition, cryptanalysis, and searching. The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types. Fast versions of the Q15 and Q31 functions are also provided.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively. The convolution of the two signals is denoted by <pre>    
+                  c[n] = a[n] * b[n]    
+</pre> In correlation, one of the signals is flipped in time <pre>    
+                  c[n] = a[n] * b[-n]    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>and this is mathematically defined as <div class="image">
+<img src="CorrelateEquation.gif" alt="CorrelateEquation.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>. The result <code>c[n]</code> is of length <code>2 * max(srcALen, srcBLen) - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2)</code>. The output result is written to <code>pDst</code> and the calling function must allocate <code>2 * max(srcALen, srcBLen) - 1</code> words for the result.</dd></dl>
+<p><b>Note</b> </p>
+<dl class="section user"><dt></dt><dd>The <code>pDst</code> should be initialized to all zeros before being used.</dd></dl>
+<p><b>Fixed-Point Behavior</b> </p>
+<dl class="section user"><dt></dt><dd>Correlation requires summing up a large number of intermediate products. As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. Refer to the function specific documentation below for further details of the particular algorithm used.</dd></dl>
+<p><b>Fast Versions</b></p>
+<dl class="section user"><dt></dt><dd>Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires the input signals should be scaled down to avoid intermediate overflows.</dd></dl>
+<p><b>Opt Versions</b></p>
+<dl class="section user"><dt></dt><dd>Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga22021e4222773f01e9960358a531cfb8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga40a0236b17220e8e22a22b5bc1c53c6b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_fast_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a maximum of min(srcALen, srcBLen) number of additions is carried internally. The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46" title="Correlation of Q15 sequences.">arm_correlate_q15()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac8de3da44f58e86c2c86156276ca154f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a maximum of min(srcALen, srcBLen) number of additions is carried internally. The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___corr.html#ga5ec96b8e420d68b0e626df0812274d46" title="Correlation of Q15 sequences.">arm_correlate_q15()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabecd3d7b077dbbef43f93e9e037815ed"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This function is optimized for speed at the expense of fixed-point precision and overflow protection. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 format. Finally, the accumulator is saturated and converted to a 1.31 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signals must be scaled down. The input signals should be scaled down to avoid intermediate overflows. Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a maximum of min(srcALen, srcBLen) number of additions is carried internally.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___corr.html#ga1367dc6c80476406c951e68d7fac4e8c" title="Correlation of Q31 sequences.">arm_correlate_q31()</a></code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad71c0ec70ec69edbc48563d9a5f68451"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both inputs are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f" title="Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_correlate_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga746e8857cafe33ec5d6780729c18c311"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_opt_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)&lt;131072</code>. The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5ec96b8e420d68b0e626df0812274d46"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both inputs are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___corr.html#gac8de3da44f58e86c2c86156276ca154f" title="Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_correlate_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451" title="Correlation of Q15 sequences.">arm_correlate_opt_q15()</a></code> for a faster implementation of this function using scratch buffers. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1367dc6c80476406c951e68d7fac4e8c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a maximum of min(srcALen, srcBLen) number of additions is carried internally. The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___corr.html#gabecd3d7b077dbbef43f93e9e037815ed" title="Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_correlate_fast_q31()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga284ddcc49e4ac532d52a70d0383c5992"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_correlate_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)&lt;131072</code>. The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311" title="Correlation of Q7 sequences.">arm_correlate_opt_q7()</a></code> for a faster implementation of this function. </dd></dl>
+
+<p>References <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, and <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>.</p>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">DCT Type IV Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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+<tr class="memitem:gafd538d68886848bc090ec2b0d364cc81"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32</a> (const <a class="el" href="structarm__dct4__instance__f32.html">arm_dct4_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pInlineBuffer)</td></tr>
+<tr class="memdesc:gafd538d68886848bc090ec2b0d364cc81"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point DCT4/IDCT4.  <a href="#gafd538d68886848bc090ec2b0d364cc81"></a><br/></td></tr>
+<tr class="separator:gafd538d68886848bc090ec2b0d364cc81"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:gab094ad3bc6fa1b84e8b12a24e1850a06"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point DCT4/IDCT4.  <a href="#gab094ad3bc6fa1b84e8b12a24e1850a06"></a><br/></td></tr>
+<tr class="separator:gab094ad3bc6fa1b84e8b12a24e1850a06"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga966fd1b66a80873964533703ab5dc054"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 DCT4/IDCT4.  <a href="#ga966fd1b66a80873964533703ab5dc054"></a><br/></td></tr>
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+<tr class="separator:ga1477edd21c7b08b0b59a564f6c24d6c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga988ff0563cc9df7848c9348871ac6c07"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga31a8217a96f7d3171921e98398f31596"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga16bf6bbe5c4c9b35f88253cf7bdcc435"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gabb8ee2004a3520fd08388db637d43875"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga3559569e603cb918911074be88523d0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:gaa15fc3fb058482defda371113cd12e74"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf687c4bbdbc700a3ad5d807d28de63e4"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___d_c_t4___i_d_c_t4.html#gaf687c4bbdbc700a3ad5d807d28de63e4">cos_factorsQ31_8192</a> [8192]</td></tr>
+<tr class="separator:gaf687c4bbdbc700a3ad5d807d28de63e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Representation of signals by minimum number of values is important for storage and transmission. The possibility of large discontinuity between the beginning and end of a period of a signal in DFT can be avoided by extending the signal so that it is even-symmetric. Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the spectrum and is very widely used in signal and image coding applications. The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions. DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.</p>
+<p>DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal. Reordering of the input data makes the computation of DCT just a problem of computing the DFT of a real signal with a few additional operations. This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.</p>
+<p>DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used. DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing. DCT2 implementation can be described in the following steps:</p>
+<ul>
+<li>Re-ordering input</li>
+<li>Calculating Real FFT</li>
+<li>Multiplication of weights and Real FFT output and getting real part from the product.</li>
+</ul>
+<p>This process is explained by the block diagram below: </p>
+<div class="image">
+<img src="DCT4.gif" alt="DCT4.gif"/>
+<div class="caption">
+Discrete Cosine Transform - type-IV</div></div>
+<dl class="section user"><dt>Algorithm: </dt><dd>The N-point type-IV DCT is defined as a real, linear transformation by the formula: <div class="image">
+<img src="DCT4Equation.gif" alt="DCT4Equation.gif"/>
+</div>
+ where <code>k = 0,1,2,.....N-1</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>Its inverse is defined as follows: <div class="image">
+<img src="IDCT4Equation.gif" alt="IDCT4Equation.gif"/>
+</div>
+ where <code>n = 0,1,2,.....N-1</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N). The symmetry of the transform matrix indicates that the fast algorithms for the forward and inverse transform computation are identical. Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.</dd></dl>
+<dl class="section user"><dt>Lengths supported by the transform: </dt><dd>As DCT4 internally uses Real FFT, it supports all the lengths supported by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc" title="Processing function for the floating-point RFFT/RIFFT.">arm_rfft_f32()</a>. The library provides separate functions for Q15, Q31, and floating-point data types. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure. A separate instance structure must be defined for each transform. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Initializes Real FFT as its process function is used internally in DCT4, by calling <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068" title="Initialization function for the floating-point RFFT/RIFFT.">arm_rfft_init_f32()</a>. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Manually initialize the instance structure as follows: <pre>    
+*arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};    
+*arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
+*arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};   
+  </pre> where <code>N</code> is the length of the DCT4; <code>Nby2</code> is half of the length of the DCT4; <code>normalize</code> is normalizing factor used and is equal to <code>sqrt(2/N)</code>; <code>pTwiddle</code> points to the twiddle factor table; <code>pCosFactor</code> points to the cosFactor table; <code>pRfft</code> points to the real FFT instance; <code>pCfft</code> points to the complex FFT instance; The CFFT and RFFT structures also needs to be initialized, refer to <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32()</a> and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc" title="Processing function for the floating-point RFFT/RIFFT.">arm_rfft_f32()</a> respectively for details regarding static initialization.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the DCT4 transform functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gafd538d68886848bc090ec2b0d364cc81"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dct4_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__dct4__instance__f32.html">arm_dct4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pInlineBuffer</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point DCT4/IDCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pInlineBuffer</td><td>points to the in-place input and output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32">arm_mult_f32()</a>, <a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32()</a>, <a class="el" href="structarm__dct4__instance__f32.html#a262b29a51c371b46efc89120e31ccf37">arm_dct4_instance_f32::N</a>, <a class="el" href="structarm__dct4__instance__f32.html#adb1ef2739ddbe62e5cdadc47455a4147">arm_dct4_instance_f32::Nby2</a>, <a class="el" href="structarm__dct4__instance__f32.html#a6da1187e070801e011ce5e0582efa861">arm_dct4_instance_f32::pCosFactor</a>, and <a class="el" href="structarm__dct4__instance__f32.html#ad13544aafad268588c62e3eb35ae662c">arm_dct4_instance_f32::pTwiddle</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab094ad3bc6fa1b84e8b12a24e1850a06"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_dct4_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__dct4__instance__f32.html">arm_dct4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S_RFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S_CFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>Nby2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>normalize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of floating-point DCT4/IDCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_RFFT</td><td>points to an instance of floating-point RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_CFFT</td><td>points to an instance of floating-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">N</td><td>length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Nby2</td><td>half of the length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">normalize</td><td>normalizing factor. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length. </dd></dl>
+<dl class="section user"><dt>Normalizing factor: </dt><dd>The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. Floating-point normalizing factors are mentioned in the table below for different DCT sizes: <div class="image">
+<img src="dct4NormalizingF32Table.gif" alt="dct4NormalizingF32Table.gif"/>
+</div>
+ </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga16248ed86161ef97538011b49f13e8b7">cos_factors_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga1ba5306e0bc44730b40ab34cced45fd6">cos_factors_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga49fd288352ca5bb43f5cec52273b0d80">cos_factors_512</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gac12484542bc6aaecc754c855457411de">cos_factors_8192</a>, <a class="el" href="structarm__dct4__instance__f32.html#a262b29a51c371b46efc89120e31ccf37">arm_dct4_instance_f32::N</a>, <a class="el" href="structarm__dct4__instance__f32.html#adb1ef2739ddbe62e5cdadc47455a4147">arm_dct4_instance_f32::Nby2</a>, <a class="el" href="structarm__dct4__instance__f32.html#a61ce8c967b2e998a9c0041cca73cdef8">arm_dct4_instance_f32::normalize</a>, <a class="el" href="structarm__dct4__instance__f32.html#a018f7860b6e070af533fb7d76c7cdc32">arm_dct4_instance_f32::pCfft</a>, <a class="el" href="structarm__dct4__instance__f32.html#a6da1187e070801e011ce5e0582efa861">arm_dct4_instance_f32::pCosFactor</a>, <a class="el" href="structarm__dct4__instance__f32.html#a978f37fc19add31af243ab5c63ae502f">arm_dct4_instance_f32::pRfft</a>, <a class="el" href="structarm__dct4__instance__f32.html#ad13544aafad268588c62e3eb35ae662c">arm_dct4_instance_f32::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad00f29d896d64d6da7afbbb9d3e182a4">Weights_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gac3a2a00b3106dfcb5e0a582f50c65692">Weights_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaeb67b0be5b3c2139d660e02cedeed908">Weights_512</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga45a8ec91e5da91790566105bc7e6f0c2">Weights_8192</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga966fd1b66a80873964533703ab5dc054"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_dct4_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__dct4__instance__q15.html">arm_dct4_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S_RFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S_CFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>Nby2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>normalize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of Q15 DCT4/IDCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_RFFT</td><td>points to an instance of Q15 RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_CFFT</td><td>points to an instance of Q15 CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">N</td><td>length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Nby2</td><td>half of the length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">normalize</td><td>normalizing factor. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length. </dd></dl>
+<dl class="section user"><dt>Normalizing factor: </dt><dd>The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes: <div class="image">
+<img src="dct4NormalizingQ15Table.gif" alt="dct4NormalizingQ15Table.gif"/>
+</div>
+ </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga1477edd21c7b08b0b59a564f6c24d6c5">cos_factorsQ15_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaeee5df7c1be2374441868ecbbc6c7e5d">cos_factorsQ15_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gac056c3d026058eab3ba650828ff5642f">cos_factorsQ15_512</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga988ff0563cc9df7848c9348871ac6c07">cos_factorsQ15_8192</a>, <a class="el" href="structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25">arm_dct4_instance_q15::N</a>, <a class="el" href="structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da">arm_dct4_instance_q15::Nby2</a>, <a class="el" href="structarm__dct4__instance__q15.html#a197098140d68e89a08f7a249003a0b86">arm_dct4_instance_q15::normalize</a>, <a class="el" href="structarm__dct4__instance__q15.html#a7284932ee8c36107c33815eb62eadffc">arm_dct4_instance_q15::pCfft</a>, <a class="el" href="structarm__dct4__instance__q15.html#ac76df681b1bd502fb4874c06f055dded">arm_dct4_instance_q15::pCosFactor</a>, <a class="el" href="structarm__dct4__instance__q15.html#a11cf95c1cd9dd2dd5e4b81b8f88dc208">arm_dct4_instance_q15::pRfft</a>, <a class="el" href="structarm__dct4__instance__q15.html#abc6c847e9f906781e1d5da40e9aafa76">arm_dct4_instance_q15::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaa4ff5e6f062efb1d1ec8c6c2207c3727">WeightsQ15_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga2235ec700d0d6925d9733f48541d46f5">WeightsQ15_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gadc8ee250fc217d6cb5c84dd7c1eb6d31">WeightsQ15_512</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga4fdc60621eb306984a82ce8b2d645bb7">WeightsQ15_8192</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga631bb59c7c97c814ff7147ecba6a716a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_dct4_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__dct4__instance__q31.html">arm_dct4_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S_RFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S_CFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>Nby2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>normalize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of Q31 DCT4/IDCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_RFFT</td><td>points to an instance of Q31 RFFT/RIFFT structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S_CFFT</td><td>points to an instance of Q31 CFFT/CIFFT structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">N</td><td>length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Nby2</td><td>half of the length of the DCT4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">normalize</td><td>normalizing factor. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length. </dd></dl>
+<dl class="section user"><dt>Normalizing factor: </dt><dd>The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes: <div class="image">
+<img src="dct4NormalizingQ31Table.gif" alt="dct4NormalizingQ31Table.gif"/>
+</div>
+ </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gabb8ee2004a3520fd08388db637d43875">cos_factorsQ31_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaa15fc3fb058482defda371113cd12e74">cos_factorsQ31_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga3559569e603cb918911074be88523d0e">cos_factorsQ31_512</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#gaf687c4bbdbc700a3ad5d807d28de63e4">cos_factorsQ31_8192</a>, <a class="el" href="structarm__dct4__instance__q31.html#a46a9f136457350676e2bfd3768ff9d6d">arm_dct4_instance_q31::N</a>, <a class="el" href="structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d">arm_dct4_instance_q31::Nby2</a>, <a class="el" href="structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd">arm_dct4_instance_q31::normalize</a>, <a class="el" href="structarm__dct4__instance__q31.html#ac96579cfb28d08bb11dd2fe4c6303833">arm_dct4_instance_q31::pCfft</a>, <a class="el" href="structarm__dct4__instance__q31.html#af97204d1838925621fc82021a0c2d6c1">arm_dct4_instance_q31::pCosFactor</a>, <a class="el" href="structarm__dct4__instance__q31.html#af1487dab5e7963b85dc0fdc6bf492542">arm_dct4_instance_q31::pRfft</a>, <a class="el" href="structarm__dct4__instance__q31.html#a7db236e22673146bb1d2c962f0713f08">arm_dct4_instance_q31::pTwiddle</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga02d7024538a87214296b01d83ba36b02">WeightsQ31_128</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga725b65c25a02b3cad329e18bb832f65e">WeightsQ31_2048</a>, <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga31a8217a96f7d3171921e98398f31596">WeightsQ31_512</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga16bf6bbe5c4c9b35f88253cf7bdcc435">WeightsQ31_8192</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga114cb9635059f678df291fcc887aaf2b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dct4_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__dct4__instance__q15.html">arm_dct4_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pInlineBuffer</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 DCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pInlineBuffer</td><td>points to the in-place input and output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Input an output formats: </dt><dd>Internally inputs are downscaled in the RFFT process function to avoid overflows. Number of bits downscaled, depends on the size of the transform. The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:</dd></dl>
+<div class="image">
+<img src="dct4FormatsQ15Table.gif" alt="dct4FormatsQ15Table.gif"/>
+</div>
+ 
+<p>References <a class="el" href="group___basic_mult.html#gafb0778d27ed98a2a6f2ecb7d48cc8c75">arm_mult_q15()</a>, <a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15()</a>, <a class="el" href="structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25">arm_dct4_instance_q15::N</a>, <a class="el" href="structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da">arm_dct4_instance_q15::Nby2</a>, <a class="el" href="structarm__dct4__instance__q15.html#ac76df681b1bd502fb4874c06f055dded">arm_dct4_instance_q15::pCosFactor</a>, and <a class="el" href="structarm__dct4__instance__q15.html#abc6c847e9f906781e1d5da40e9aafa76">arm_dct4_instance_q15::pTwiddle</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad04d0baab6ed081d8e8afe02538eb80b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dct4_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__dct4__instance__q31.html">arm_dct4_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pInlineBuffer</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 DCT4 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*pInlineBuffer</td><td>points to the in-place input and output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Input an output formats: </dt><dd>Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process, as the conversion from DCT2 to DCT4 involves one subtraction. Internally inputs are downscaled in the RFFT process function to avoid overflows. Number of bits downscaled, depends on the size of the transform. The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:</dd></dl>
+<div class="image">
+<img src="dct4FormatsQ31Table.gif" alt="dct4FormatsQ31Table.gif"/>
+</div>
+ 
+<p>References <a class="el" href="group___cmplx_by_cmplx_mult.html#ga1829e50993a90742de225a0ce4213838">arm_cmplx_mult_cmplx_q31()</a>, <a class="el" href="group___basic_mult.html#ga3528c0f54a0607acc603f0490d3ca6c6">arm_mult_q31()</a>, <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>, <a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31()</a>, <a class="el" href="structarm__dct4__instance__q31.html#a46a9f136457350676e2bfd3768ff9d6d">arm_dct4_instance_q31::N</a>, <a class="el" href="structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d">arm_dct4_instance_q31::Nby2</a>, <a class="el" href="structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd">arm_dct4_instance_q31::normalize</a>, <a class="el" href="structarm__dct4__instance__q31.html#af97204d1838925621fc82021a0c2d6c1">arm_dct4_instance_q31::pCosFactor</a>, <a class="el" href="structarm__dct4__instance__q31.html#af1487dab5e7963b85dc0fdc6bf492542">arm_dct4_instance_q31::pRfft</a>, and <a class="el" href="structarm__dct4__instance__q31.html#a7db236e22673146bb1d2c962f0713f08">arm_dct4_instance_q31::pTwiddle</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ga16248ed86161ef97538011b49f13e8b7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cos_factors_128[128]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table </dd></dl>
+<dl class="section user"><dt></dt><dd><pre> for(i = 0; i&lt; N; i++)    
+{    
+   cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1ba5306e0bc44730b40ab34cced45fd6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cos_factors_2048[2048]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga49fd288352ca5bb43f5cec52273b0d80"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cos_factors_512[512]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac12484542bc6aaecc754c855457411de"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cos_factors_8192[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1477edd21c7b08b0b59a564f6c24d6c5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> cos_factorsQ15_128[128]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table <pre>    
+for(i = 0; i&lt; N; i++)    
+{    
+  cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>Then converted to q15 format by multiplying with 2^31 and saturated if required. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaeee5df7c1be2374441868ecbbc6c7e5d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> cos_factorsQ15_2048[2048]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac056c3d026058eab3ba650828ff5642f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> cos_factorsQ15_512[512]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga988ff0563cc9df7848c9348871ac6c07"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> cos_factorsQ15_8192[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabb8ee2004a3520fd08388db637d43875"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cos_factorsQ31_128[128]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table <pre>    
+for(i = 0; i&lt; N; i++)    
+{    
+  cos_factors[i]= 2 * cos((2*i+1)*c/2);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>Then converted to q31 format by multiplying with 2^31 and saturated if required. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa15fc3fb058482defda371113cd12e74"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cos_factorsQ31_2048[2048]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3559569e603cb918911074be88523d0e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cos_factorsQ31_512[512]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf687c4bbdbc700a3ad5d807d28de63e4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cos_factorsQ31_8192[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad00f29d896d64d6da7afbbb9d3e182a4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Weights_128[256]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table <pre>    
+for(i = 0; i&lt; N; i++)    
+{    
+   weights[2*i]= cos(i*c);    
+   weights[(2*i)+1]= -sin(i * c);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>In the tables below the real and imaginary values are placed alternatively, hence the array length is <code>2*N</code>. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac3a2a00b3106dfcb5e0a582f50c65692"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Weights_2048[4096]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaeb67b0be5b3c2139d660e02cedeed908"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Weights_512[1024]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga45a8ec91e5da91790566105bc7e6f0c2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Weights_8192[16384]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaa4ff5e6f062efb1d1ec8c6c2207c3727"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> WeightsQ15_128[256]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table <pre>    
+for(i = 0; i&lt; N; i++)    
+{    
+  weights[2*i]= cos(i*c);    
+  weights[(2*i)+1]= -sin(i * c);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>Converted the output to q15 format by multiplying with 2^31 and saturated if required. </dd></dl>
+<dl class="section user"><dt></dt><dd>In the tables below the real and imaginary values are placed alternatively, hence the array length is <code>2*N</code>. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2235ec700d0d6925d9733f48541d46f5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> WeightsQ15_2048[4096]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadc8ee250fc217d6cb5c84dd7c1eb6d31"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> WeightsQ15_512[1024]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga4fdc60621eb306984a82ce8b2d645bb7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> WeightsQ15_8192[16384]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga02d7024538a87214296b01d83ba36b02"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> WeightsQ31_128[256]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>C command to generate the table <pre>    
+for(i = 0; i&lt; N; i++)    
+{    
+  weights[2*i]= cos(i*c);    
+  weights[(2*i)+1]= -sin(i * c);    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert the output to q31 format by multiplying with 2^31 and saturated if required. </dd></dl>
+<dl class="section user"><dt></dt><dd>In the tables below the real and imaginary values are placed alternatively, hence the array length is <code>2*N</code>. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga725b65c25a02b3cad329e18bb832f65e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> WeightsQ31_2048[4096]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga31a8217a96f7d3171921e98398f31596"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> WeightsQ31_512[1024]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga16bf6bbe5c4c9b35f88253cf7bdcc435"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> WeightsQ31_8192[16384]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Dot Product Example</title>
+<title>CMSIS-DSP: Dot Product Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+<script type="text/javascript" src="resize.js"></script>
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+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
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+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Dot Product Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the use of the Multiply and Add functions to perform the dot product. The dot product of two vectors is obtained by multiplying corresponding elements and summing the products.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The two input vectors <code>A</code> and <code>B</code> with length <code>n</code>, are multiplied element-by-element and then added to obtain dot product. </dd></dl>
+<dl class="section user"><dt></dt><dd>This is denoted by the following equation: <pre>  dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre></dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="dotProduct.gif" alt="dotProduct.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>srcA_buf_f32</code> points to first input vector </li>
+<li><code>srcB_buf_f32</code> points to second input vector </li>
+<li><code>testOutput</code> stores dot product of the two input vectors.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32()</a></li>
+<li><a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd" title="Floating-point vector addition.">arm_add_f32()</a></li>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Finite Impulse Response (FIR) Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
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+Functions</h2></td></tr>
+<tr class="memitem:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32</a> (const <a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point FIR filter.  <a href="#gae8fb334ea67eb6ecbd31824ddc14cd6a"></a><br/></td></tr>
+<tr class="separator:gae8fb334ea67eb6ecbd31824ddc14cd6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac7d35e9472e49ccd88800f37f3476bd3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15</a> (const <a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gac7d35e9472e49ccd88800f37f3476bd3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.  <a href="#gac7d35e9472e49ccd88800f37f3476bd3"></a><br/></td></tr>
+<tr class="separator:gac7d35e9472e49ccd88800f37f3476bd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga70d11af009dcd25594c58c75cdb5d6e3"><td class="memItemLeft" align="right" valign="top">IAR_ONLY_LOW_OPTIMIZATION_ENTER <br class="typebreak"/>
+void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31</a> (const <a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga70d11af009dcd25594c58c75cdb5d6e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.  <a href="#ga70d11af009dcd25594c58c75cdb5d6e3"></a><br/></td></tr>
+<tr class="separator:ga70d11af009dcd25594c58c75cdb5d6e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga98d13def6427e29522829f945d0967db"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32</a> (<a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga98d13def6427e29522829f945d0967db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point FIR filter.  <a href="#ga98d13def6427e29522829f945d0967db"></a><br/></td></tr>
+<tr class="separator:ga98d13def6427e29522829f945d0967db"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae2a50f692f41ba57e44ed0719b1368bd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15</a> (<a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae2a50f692f41ba57e44ed0719b1368bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 FIR filter.  <a href="#gae2a50f692f41ba57e44ed0719b1368bd"></a><br/></td></tr>
+<tr class="separator:gae2a50f692f41ba57e44ed0719b1368bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac00d53af87684cbbe135767b55e748a5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31</a> (<a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gac00d53af87684cbbe135767b55e748a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 FIR filter.  <a href="#gac00d53af87684cbbe135767b55e748a5"></a><br/></td></tr>
+<tr class="separator:gac00d53af87684cbbe135767b55e748a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga88e48688224d42dc173dbcec702f0c1d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#ga88e48688224d42dc173dbcec702f0c1d">arm_fir_init_q7</a> (<a class="el" href="structarm__fir__instance__q7.html">arm_fir_instance_q7</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga88e48688224d42dc173dbcec702f0c1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q7 FIR filter.  <a href="#ga88e48688224d42dc173dbcec702f0c1d"></a><br/></td></tr>
+<tr class="separator:ga88e48688224d42dc173dbcec702f0c1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga262d173058d6f80fdf60404ba262a8f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15</a> (const <a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga262d173058d6f80fdf60404ba262a8f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 FIR filter.  <a href="#ga262d173058d6f80fdf60404ba262a8f5"></a><br/></td></tr>
+<tr class="separator:ga262d173058d6f80fdf60404ba262a8f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaadd938c68ab08967cbb5fc696f384bb5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31</a> (const <a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaadd938c68ab08967cbb5fc696f384bb5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 FIR filter.  <a href="#gaadd938c68ab08967cbb5fc696f384bb5"></a><br/></td></tr>
+<tr class="separator:gaadd938c68ab08967cbb5fc696f384bb5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga31c91a0bf0962327ef8f626fae68ea32"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r.html#ga31c91a0bf0962327ef8f626fae68ea32">arm_fir_q7</a> (const <a class="el" href="structarm__fir__instance__q7.html">arm_fir_instance_q7</a> *S, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga31c91a0bf0962327ef8f626fae68ea32"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q7 FIR filter.  <a href="#ga31c91a0bf0962327ef8f626fae68ea32"></a><br/></td></tr>
+<tr class="separator:ga31c91a0bf0962327ef8f626fae68ea32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements Finite Impulse Response (FIR) filters for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided. The functions operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays containing <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations. Each filter coefficient <code>b[n]</code> is multiplied by a state variable which equals a previous input sample <code>x[n]</code>. <pre>  
+     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]  
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIR.gif" alt="FIR.gif"/>
+<div class="caption">
+Finite Impulse Response filter</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. Coefficients are stored in time reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>  
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}  
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. Samples in the state buffer are stored in the following order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>  
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}  
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code>. The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters, to be avoided and yields a significant speed improvement. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. There are separate instance structure declarations for each of the 4 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numTaps, pCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. The code below statically initializes each of the 4 different data type filter instance structures <pre>  
+*arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};  
+*arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};  
+  </pre></dd></dl>
+<p>where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer; <code>pCoeffs</code> is the address of the coefficient buffer.</p>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the FIR filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae8fb334ea67eb6ecbd31824ddc14cd6a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a15">arm_fir_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a28">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__fir__instance__f32.html#a20cf98c92b5323799b7881c9ff4d2f7c">arm_fir_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__instance__f32.html#a1c9cfca901d5902afeb640f2831488f4">arm_fir_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__f32.html#a7afcf4022e8560db9b8fd28b0d090a15">arm_fir_instance_f32::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac7d35e9472e49ccd88800f37f3476bd3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5" title="Processing function for the Q15 FIR filter.">arm_fir_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd" title="Initialization function for the Q15 FIR filter.">arm_fir_init_q15()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">arm_fir_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__instance__q15.html#a6d16db16a5f8f0db54938f2967244d9e">arm_fir_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q15.html#aa8d25f44f45b6a6c4cf38c31569b8a01">arm_fir_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga70d11af009dcd25594c58c75cdb5d6e3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">IAR_ONLY_LOW_OPTIMIZATION_ENTER void arm_fir_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This function is optimized for speed at the expense of fixed-point precision and overflow protection. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are added to a 2.30 accumulator. Finally, the accumulator is saturated and converted to a 1.31 result. The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5" title="Processing function for the Q31 FIR filter.">arm_fir_q31()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5" title="Initialization function for the Q31 FIR filter.">arm_fir_init_q31()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#aba3e538352fc7f9d6d15f9a18d469399">multAcc_32x32_keep32_R</a>, <a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">arm_fir_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__instance__q31.html#afaae4c884bdf11a4ec2f3b9bb2bb51d0">arm_fir_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q31.html#a409f39c93b744784648bdc365541444d">arm_fir_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga98d13def6427e29522829f945d0967db"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>Number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that are processed per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a" title="Processing function for the floating-point FIR filter.">arm_fir_f32()</a></code>. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#a14">arm_fir_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a25">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__fir__instance__f32.html#a20cf98c92b5323799b7881c9ff4d2f7c">arm_fir_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__instance__f32.html#a1c9cfca901d5902afeb640f2831488f4">arm_fir_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__f32.html#a7afcf4022e8560db9b8fd28b0d090a15">arm_fir_instance_f32::pState</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__fir__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae2a50f692f41ba57e44ed0719b1368bd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>Number of filter coefficients in the filter. Must be even and greater than or equal to 4. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>is number of samples processed per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>numTaps</code> is not greater than or equal to 4 and even.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> Note that <code>numTaps</code> must be even and greater than or equal to 4. To implement an odd length filter simply increase <code>numTaps</code> by 1 and set the last coefficient to zero. For example, to implement a filter with <code>numTaps=3</code> and coefficients <pre>    
+    {0.3, -0.8, 0.3}    
+</pre> set <code>numTaps=4</code> and use the coefficients: <pre>    
+    {0.3, -0.8, 0.3, 0}.    
+</pre> Similarly, to implement a two point filter <pre>    
+    {0.3, -0.3}    
+</pre> set <code>numTaps=4</code> and use the coefficients: <pre>    
+    {0.3, -0.3, 0, 0}.    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize</code>, when running on Cortex-M4 and Cortex-M3 and is of length <code>numTaps+blockSize-1</code>, when running on Cortex-M0 where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5" title="Processing function for the Q15 FIR filter.">arm_fir_q15()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">arm_fir_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__instance__q15.html#a6d16db16a5f8f0db54938f2967244d9e">arm_fir_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__instance__q15.html#aa8d25f44f45b6a6c4cf38c31569b8a01">arm_fir_instance_q15::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac00d53af87684cbbe135767b55e748a5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>Number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that are processed per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5" title="Processing function for the Q31 FIR filter.">arm_fir_q31()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">arm_fir_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__instance__q31.html#afaae4c884bdf11a4ec2f3b9bb2bb51d0">arm_fir_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q31.html#a409f39c93b744784648bdc365541444d">arm_fir_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga88e48688224d42dc173dbcec702f0c1d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_init_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__instance__q7.html">arm_fir_instance_q7</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q7 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>Number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that are processed per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r.html#ga31c91a0bf0962327ef8f626fae68ea32" title="Processing function for the Q7 FIR filter.">arm_fir_q7()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__instance__q7.html#a9b50840e2c5ef5b17e1a584fb4cf0d06">arm_fir_instance_q7::numTaps</a>, <a class="el" href="structarm__fir__instance__q7.html#a0e45aedefc3fffad6cb315c5b6e5bd49">arm_fir_instance_q7::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q7.html#aaddea3b9c7e16ddfd9428b7bf9f9c200">arm_fir_instance_q7::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga262d173058d6f80fdf60404ba262a8f5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__q15.html">arm_fir_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, state buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3" title="Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.">arm_fir_fast_q15()</a></code> for a faster but less precise implementation of this function. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">arm_fir_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__instance__q15.html#a6d16db16a5f8f0db54938f2967244d9e">arm_fir_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q15.html#aa8d25f44f45b6a6c4cf38c31569b8a01">arm_fir_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaadd938c68ab08967cbb5fc696f384bb5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__q31.html">arm_fir_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3" title="Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.">arm_fir_fast_q31()</a></code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">arm_fir_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__instance__q31.html#afaae4c884bdf11a4ec2f3b9bb2bb51d0">arm_fir_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q31.html#a409f39c93b744784648bdc365541444d">arm_fir_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga31c91a0bf0962327ef8f626fae68ea32"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_q7 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__instance__q7.html">arm_fir_instance_q7</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q7 FIR filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. The accumulator is converted to 18.7 format by discarding the low 7 bits. Finally, the result is truncated to 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__instance__q7.html#a9b50840e2c5ef5b17e1a584fb4cf0d06">arm_fir_instance_q7::numTaps</a>, <a class="el" href="structarm__fir__instance__q7.html#a0e45aedefc3fffad6cb315c5b6e5bd49">arm_fir_instance_q7::pCoeffs</a>, and <a class="el" href="structarm__fir__instance__q7.html#aaddea3b9c7e16ddfd9428b7bf9f9c200">arm_fir_instance_q7::pState</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
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+</html>
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new file mode 100644
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Finite Impulse Response (FIR) Interpolator</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga9cae104c5cf60b4e7671c82264a8c12e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32</a> (const <a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga9cae104c5cf60b4e7671c82264a8c12e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point FIR interpolator.  <a href="#ga9cae104c5cf60b4e7671c82264a8c12e"></a><br/></td></tr>
+<tr class="separator:ga9cae104c5cf60b4e7671c82264a8c12e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0f857457a815946f7e4dca989ebf6ff6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32</a> (<a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a> *S, uint8_t L, uint16_t numTaps, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga0f857457a815946f7e4dca989ebf6ff6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point FIR interpolator.  <a href="#ga0f857457a815946f7e4dca989ebf6ff6"></a><br/></td></tr>
+<tr class="separator:ga0f857457a815946f7e4dca989ebf6ff6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga18e8c4a74ff1d0f88876cc63f675288f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15</a> (<a class="el" href="structarm__fir__interpolate__instance__q15.html">arm_fir_interpolate_instance_q15</a> *S, uint8_t L, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga18e8c4a74ff1d0f88876cc63f675288f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 FIR interpolator.  <a href="#ga18e8c4a74ff1d0f88876cc63f675288f"></a><br/></td></tr>
+<tr class="separator:ga18e8c4a74ff1d0f88876cc63f675288f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9d0ba38ce9f12a850dd242731d307476"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31</a> (<a class="el" href="structarm__fir__interpolate__instance__q31.html">arm_fir_interpolate_instance_q31</a> *S, uint8_t L, uint16_t numTaps, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga9d0ba38ce9f12a850dd242731d307476"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 FIR interpolator.  <a href="#ga9d0ba38ce9f12a850dd242731d307476"></a><br/></td></tr>
+<tr class="separator:ga9d0ba38ce9f12a850dd242731d307476"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7962b5f9636e54899f75d0c5936800b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15</a> (const <a class="el" href="structarm__fir__interpolate__instance__q15.html">arm_fir_interpolate_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga7962b5f9636e54899f75d0c5936800b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 FIR interpolator.  <a href="#ga7962b5f9636e54899f75d0c5936800b5"></a><br/></td></tr>
+<tr class="separator:ga7962b5f9636e54899f75d0c5936800b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaac9c0f01ed91c53f7083995d7411f5ee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31</a> (const <a class="el" href="structarm__fir__interpolate__instance__q31.html">arm_fir_interpolate_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaac9c0f01ed91c53f7083995d7411f5ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 FIR interpolator.  <a href="#gaac9c0f01ed91c53f7083995d7411f5ee"></a><br/></td></tr>
+<tr class="separator:gaac9c0f01ed91c53f7083995d7411f5ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>These functions combine an upsampler (zero stuffer) and an FIR filter. They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images. Conceptually, the functions are equivalent to the block diagram below: </p>
+<div class="image">
+<img src="FIRInterpolator.gif" alt="FIRInterpolator.gif"/>
+<div class="caption">
+Components included in the FIR Interpolator functions</div></div>
+<p> After upsampling by a factor of <code>L</code>, the signal should be filtered by a lowpass filter with a normalized cutoff frequency of <code>1/L</code> in order to eliminate high frequency copies of the spectrum. The user of the function is responsible for providing the filter coefficients.</p>
+<p>The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner. The upsampler inserts <code>L-1</code> zeros between each sample. Instead of multiplying by these zero values, the FIR filter is designed to skip them. This leads to an efficient implementation without any wasted effort. The functions operate on blocks of input and output data. <code>pSrc</code> points to an array of <code>blockSize</code> input values and <code>pDst</code> points to an array of <code>blockSize*L</code> output values.</p>
+<p>The library provides separate functions for Q15, Q31, and floating-point data types.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The functions use a polyphase filter structure: <pre>    
+   y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]    
+   y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]    
+   ...    
+   y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]    
+</pre> This approach is more efficient than straightforward upsample-then-filter algorithms. With this method the computation is reduced by a factor of <code>1/L</code> when compared to using a standard FIR filter. </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code> and this is checked by the initialization functions. Internally, the function divides the FIR filter's impulse response into shorter filters of length <code>phaseLength=numTaps/L</code>. Coefficients are stored in time reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>blockSize + phaseLength - 1</code>. Samples in the state buffer are stored in the order: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+   {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}    
+</pre> The state variables are updated after each block of data is processed, the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable array should be allocated separately. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer.</li>
+<li>Checks to make sure that the length of the filter is a multiple of the interpolation factor. To do this manually without calling the init function, assign the follow subfields of the instance structure: L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. The code below statically initializes each of the 3 different data type filter instance structures <pre>    
+<a class="el" href="structarm__fir__interpolate__instance__f32.html" title="Instance structure for the floating-point FIR interpolator.">arm_fir_interpolate_instance_f32</a> S = {L, phaseLength, pCoeffs, pState};    
+<a class="el" href="structarm__fir__interpolate__instance__q31.html" title="Instance structure for the Q31 FIR interpolator.">arm_fir_interpolate_instance_q31</a> S = {L, phaseLength, pCoeffs, pState};    
+<a class="el" href="structarm__fir__interpolate__instance__q15.html" title="Instance structure for the Q15 FIR interpolator.">arm_fir_interpolate_instance_q15</a> S = {L, phaseLength, pCoeffs, pState};    
+</pre> where <code>L</code> is the interpolation factor; <code>phaseLength=numTaps/L</code> is the length of each of the shorter FIR filters used internally, <code>pCoeffs</code> is the address of the coefficient buffer; <code>pState</code> is the address of the state buffer. Be sure to set the values in the state buffer to zeros when doing static initialization.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the FIR interpolate filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga9cae104c5cf60b4e7671c82264a8c12e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_interpolate_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__interpolate__instance__f32.html#ae6f94dcc0ccd8aa4bc699b20985d9df5">arm_fir_interpolate_instance_f32::L</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a86053b715980a93c9df630d6de5bb63c">arm_fir_interpolate_instance_f32::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a389e669e13ec56292a70db8e92194b12">arm_fir_interpolate_instance_f32::phaseLength</a>, and <a class="el" href="structarm__fir__interpolate__instance__f32.html#a42a8ba1bda85fa86d7b6c84d3da4c75b">arm_fir_interpolate_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0f857457a815946f7e4dca989ebf6ff6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_interpolate_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">L</td><td>upsample factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+</pre> The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e" title="Processing function for the floating-point FIR interpolator.">arm_fir_interpolate_f32()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#ae6f94dcc0ccd8aa4bc699b20985d9df5">arm_fir_interpolate_instance_f32::L</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a86053b715980a93c9df630d6de5bb63c">arm_fir_interpolate_instance_f32::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a389e669e13ec56292a70db8e92194b12">arm_fir_interpolate_instance_f32::phaseLength</a>, <a class="el" href="structarm__fir__interpolate__instance__f32.html#a42a8ba1bda85fa86d7b6c84d3da4c75b">arm_fir_interpolate_instance_f32::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga18e8c4a74ff1d0f88876cc63f675288f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_interpolate_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__interpolate__instance__q15.html">arm_fir_interpolate_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">L</td><td>upsample factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+</pre> The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5" title="Processing function for the Q15 FIR interpolator.">arm_fir_interpolate_q15()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a5431bdc079e72a973b51d359f7f13603">arm_fir_interpolate_instance_q15::L</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a767d91d61d4c0beeddd4325d28d28e24">arm_fir_interpolate_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#ad5178a02a697a77e0d0e60705d9f0a19">arm_fir_interpolate_instance_q15::phaseLength</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a26b864363fa47954248f2590e3a82a3c">arm_fir_interpolate_instance_q15::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9d0ba38ce9f12a850dd242731d307476"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_interpolate_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__interpolate__instance__q31.html">arm_fir_interpolate_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">L</td><td>upsample factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}    
+</pre> The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee" title="Processing function for the Q31 FIR interpolator.">arm_fir_interpolate_q31()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#a5cdf0a631cb74e0e9588c388abe5235c">arm_fir_interpolate_instance_q31::L</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#afa719433687e1936ec3403d0d32f06e6">arm_fir_interpolate_instance_q31::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#a5d243796584afc7cd6c557f00b7acca5">arm_fir_interpolate_instance_q31::phaseLength</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#addde04514b6e6ac72be3d609f0398b1a">arm_fir_interpolate_instance_q31::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7962b5f9636e54899f75d0c5936800b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_interpolate_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__interpolate__instance__q15.html">arm_fir_interpolate_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a5431bdc079e72a973b51d359f7f13603">arm_fir_interpolate_instance_q15::L</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#a767d91d61d4c0beeddd4325d28d28e24">arm_fir_interpolate_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__q15.html#ad5178a02a697a77e0d0e60705d9f0a19">arm_fir_interpolate_instance_q15::phaseLength</a>, and <a class="el" href="structarm__fir__interpolate__instance__q15.html#a26b864363fa47954248f2590e3a82a3c">arm_fir_interpolate_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaac9c0f01ed91c53f7083995d7411f5ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_interpolate_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__interpolate__instance__q31.html">arm_fir_interpolate_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR interpolator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by <code>1/(numTaps/L)</code>. since <code>numTaps/L</code> additions occur per output sample. After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__interpolate__instance__q31.html#a5cdf0a631cb74e0e9588c388abe5235c">arm_fir_interpolate_instance_q31::L</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#afa719433687e1936ec3403d0d32f06e6">arm_fir_interpolate_instance_q31::pCoeffs</a>, <a class="el" href="structarm__fir__interpolate__instance__q31.html#a5d243796584afc7cd6c557f00b7acca5">arm_fir_interpolate_instance_q31::phaseLength</a>, and <a class="el" href="structarm__fir__interpolate__instance__q31.html#addde04514b6e6ac72be3d609f0398b1a">arm_fir_interpolate_instance_q31::pState</a>.</p>
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+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Finite Impulse Response (FIR) Lattice Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae63a45a63a11a65f2eae8b8b1fe370a8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32</a> (const <a class="el" href="structarm__fir__lattice__instance__f32.html">arm_fir_lattice_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae63a45a63a11a65f2eae8b8b1fe370a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point FIR lattice filter.  <a href="#gae63a45a63a11a65f2eae8b8b1fe370a8"></a><br/></td></tr>
+<tr class="separator:gae63a45a63a11a65f2eae8b8b1fe370a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga86199a1590af2b8941c6532ee9d03229"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32</a> (<a class="el" href="structarm__fir__lattice__instance__f32.html">arm_fir_lattice_instance_f32</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState)</td></tr>
+<tr class="memdesc:ga86199a1590af2b8941c6532ee9d03229"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point FIR lattice filter.  <a href="#ga86199a1590af2b8941c6532ee9d03229"></a><br/></td></tr>
+<tr class="separator:ga86199a1590af2b8941c6532ee9d03229"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1b22f30ce1cc19bf5a5d7c9fca154d72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_fir_lattice_init_q15</a> (<a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState)</td></tr>
+<tr class="memdesc:ga1b22f30ce1cc19bf5a5d7c9fca154d72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 FIR lattice filter.  <a href="#ga1b22f30ce1cc19bf5a5d7c9fca154d72"></a><br/></td></tr>
+<tr class="separator:ga1b22f30ce1cc19bf5a5d7c9fca154d72"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac05a17a0188bb851b58d19e572870a54"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31</a> (<a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState)</td></tr>
+<tr class="memdesc:gac05a17a0188bb851b58d19e572870a54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 FIR lattice filter.  <a href="#gac05a17a0188bb851b58d19e572870a54"></a><br/></td></tr>
+<tr class="separator:gac05a17a0188bb851b58d19e572870a54"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabb0ab07fd313b4d863070c3ddca51542"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15</a> (const <a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gabb0ab07fd313b4d863070c3ddca51542"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 FIR lattice filter.  <a href="#gabb0ab07fd313b4d863070c3ddca51542"></a><br/></td></tr>
+<tr class="separator:gabb0ab07fd313b4d863070c3ddca51542"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2e36fd210e4a1a5dd333ce80dd6d9a88"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_fir_lattice_q31</a> (const <a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2e36fd210e4a1a5dd333ce80dd6d9a88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 FIR lattice filter.  <a href="#ga2e36fd210e4a1a5dd333ce80dd6d9a88"></a><br/></td></tr>
+<tr class="separator:ga2e36fd210e4a1a5dd333ce80dd6d9a88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements Finite Impulse Response (FIR) lattice filters for Q15, Q31 and floating-point data types. Lattice filters are used in a variety of adaptive filter applications. The filter structure is feedforward and the net impulse response is finite length. The functions operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> and <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd><div class="image">
+<img src="FIRLattice.gif" alt="FIRLattice.gif"/>
+<div class="caption">
+Finite Impulse Response Lattice filter</div></div>
+ The following difference equation is implemented: <pre>    
+     f0[n] = g0[n] = x[n]    
+     fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M    
+     gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M    
+     y[n] = fM[n]    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to tha array of reflection coefficients of size <code>numStages</code>. Reflection Coefficients are stored in the following order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+     {k1, k2, ..., kM}    
+  </pre> where M is number of stages </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>numStages</code>. The state variables (g values) hold previous inputs and are stored in the following order. <pre>    
+     {g0[n], g1[n], g2[n] ...gM-1[n]}    
+  </pre> The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: <pre>    
+*arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};    
+*arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};    
+*arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>numStages</code> is the number of stages in the filter; <code>pState</code> is the address of the state buffer; <code>pCoeffs</code> is the address of the coefficient buffer. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the FIR Lattice filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae63a45a63a11a65f2eae8b8b1fe370a8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__lattice__instance__f32.html">arm_fir_lattice_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__lattice__instance__f32.html#ad369bd9997a250f195254df37408a38f">arm_fir_lattice_instance_f32::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__f32.html#a33bf5948c947f9ef80a99717cb0a0a43">arm_fir_lattice_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__f32.html#ae348884a1ba9b83fadccd5da640cbcaf">arm_fir_lattice_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga86199a1590af2b8941c6532ee9d03229"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__lattice__instance__f32.html">arm_fir_lattice_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of filter stages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. The array is of length numStages. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__lattice__instance__f32.html#ad369bd9997a250f195254df37408a38f">arm_fir_lattice_instance_f32::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__f32.html#a33bf5948c947f9ef80a99717cb0a0a43">arm_fir_lattice_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__f32.html#ae348884a1ba9b83fadccd5da640cbcaf">arm_fir_lattice_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1b22f30ce1cc19bf5a5d7c9fca154d72"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of filter stages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. The array is of length numStages. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__lattice__instance__q15.html#a38b179138d6a6c9cac4f8f79b6fd5357">arm_fir_lattice_instance_q15::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__q15.html#a78f872826140069cf67836fff87360bc">arm_fir_lattice_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__q15.html#a37b90dea2bc3ee7c9951a9fe74db0cbb">arm_fir_lattice_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac05a17a0188bb851b58d19e572870a54"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of filter stages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. The array is of length numStages. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__lattice__instance__q31.html#a9f3773bbb76bc5a8a5ee9d37786bf478">arm_fir_lattice_instance_q31::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__q31.html#a66c3364bf5863cd45e05f1652c3dc522">arm_fir_lattice_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__q31.html#a08fe9494ab7cd336b791e9657adadcf6">arm_fir_lattice_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabb0ab07fd313b4d863070c3ddca51542"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__lattice__instance__q15.html">arm_fir_lattice_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__lattice__instance__q15.html#a38b179138d6a6c9cac4f8f79b6fd5357">arm_fir_lattice_instance_q15::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__q15.html#a78f872826140069cf67836fff87360bc">arm_fir_lattice_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__q15.html#a37b90dea2bc3ee7c9951a9fe74db0cbb">arm_fir_lattice_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2e36fd210e4a1a5dd333ce80dd6d9a88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_lattice_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits. </p>
+
+<p>References <a class="el" href="structarm__fir__lattice__instance__q31.html#a9f3773bbb76bc5a8a5ee9d37786bf478">arm_fir_lattice_instance_q31::numStages</a>, <a class="el" href="structarm__fir__lattice__instance__q31.html#a66c3364bf5863cd45e05f1652c3dc522">arm_fir_lattice_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__lattice__instance__q31.html#a08fe9494ab7cd336b791e9657adadcf6">arm_fir_lattice_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+<title>CMSIS-DSP: Finite Impulse Response (FIR) Sparse Filters</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Finite Impulse Response (FIR) Sparse Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga23a9284de5ee39406713b91d18ac8838"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32</a> (<a class="el" href="structarm__fir__sparse__instance__f32.html">arm_fir_sparse_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pScratchIn, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga23a9284de5ee39406713b91d18ac8838"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point sparse FIR filter.  <a href="#ga23a9284de5ee39406713b91d18ac8838"></a><br/></td></tr>
+<tr class="separator:ga23a9284de5ee39406713b91d18ac8838"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga86378a08a9d9e1e0e5de77843b34d396"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32</a> (<a class="el" href="structarm__fir__sparse__instance__f32.html">arm_fir_sparse_instance_f32</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, int32_t *pTapDelay, uint16_t maxDelay, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga86378a08a9d9e1e0e5de77843b34d396"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point sparse FIR filter.  <a href="#ga86378a08a9d9e1e0e5de77843b34d396"></a><br/></td></tr>
+<tr class="separator:ga86378a08a9d9e1e0e5de77843b34d396"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5eaa80bf72bcccef5a2c5fc6648d1baa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15</a> (<a class="el" href="structarm__fir__sparse__instance__q15.html">arm_fir_sparse_instance_q15</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, int32_t *pTapDelay, uint16_t maxDelay, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga5eaa80bf72bcccef5a2c5fc6648d1baa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 sparse FIR filter.  <a href="#ga5eaa80bf72bcccef5a2c5fc6648d1baa"></a><br/></td></tr>
+<tr class="separator:ga5eaa80bf72bcccef5a2c5fc6648d1baa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9a0bb2134bc85d3e55c6be6d946ee634"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31</a> (<a class="el" href="structarm__fir__sparse__instance__q31.html">arm_fir_sparse_instance_q31</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, int32_t *pTapDelay, uint16_t maxDelay, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga9a0bb2134bc85d3e55c6be6d946ee634"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 sparse FIR filter.  <a href="#ga9a0bb2134bc85d3e55c6be6d946ee634"></a><br/></td></tr>
+<tr class="separator:ga9a0bb2134bc85d3e55c6be6d946ee634"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga98f5c1a097d4572ce4ff3b0c58ebcdbd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7</a> (<a class="el" href="structarm__fir__sparse__instance__q7.html">arm_fir_sparse_instance_q7</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pState, int32_t *pTapDelay, uint16_t maxDelay, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga98f5c1a097d4572ce4ff3b0c58ebcdbd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q7 sparse FIR filter.  <a href="#ga98f5c1a097d4572ce4ff3b0c58ebcdbd"></a><br/></td></tr>
+<tr class="separator:ga98f5c1a097d4572ce4ff3b0c58ebcdbd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2bffda2e156e72427e19276cd9c3d3cc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15</a> (<a class="el" href="structarm__fir__sparse__instance__q15.html">arm_fir_sparse_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratchIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pScratchOut, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2bffda2e156e72427e19276cd9c3d3cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 sparse FIR filter.  <a href="#ga2bffda2e156e72427e19276cd9c3d3cc"></a><br/></td></tr>
+<tr class="separator:ga2bffda2e156e72427e19276cd9c3d3cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga03e9c2f0f35ad67d20bac66be9f920ec"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31</a> (<a class="el" href="structarm__fir__sparse__instance__q31.html">arm_fir_sparse_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pScratchIn, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga03e9c2f0f35ad67d20bac66be9f920ec"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 sparse FIR filter.  <a href="#ga03e9c2f0f35ad67d20bac66be9f920ec"></a><br/></td></tr>
+<tr class="separator:ga03e9c2f0f35ad67d20bac66be9f920ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae86c145efc2d9ec32dc6d8c1ad2ccb3c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7</a> (<a class="el" href="structarm__fir__sparse__instance__q7.html">arm_fir_sparse_instance_q7</a> *S, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pScratchIn, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pScratchOut, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae86c145efc2d9ec32dc6d8c1ad2ccb3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q7 sparse FIR filter.  <a href="#gae86c145efc2d9ec32dc6d8c1ad2ccb3c"></a><br/></td></tr>
+<tr class="separator:gae86c145efc2d9ec32dc6d8c1ad2ccb3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This group of functions implements sparse FIR filters. Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero. Sparse filters are used for simulating reflections in communications and audio applications.</p>
+<p>There are separate functions for Q7, Q15, Q31, and floating-point data types. The functions operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays respectively containing <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The sparse filter instant structure contains an array of tap indices <code>pTapDelay</code> which specifies the locations of the non-zero coefficients. This is in addition to the coefficient array <code>b</code>. The implementation essentially skips the multiplications by zero and leads to an efficient realization. <pre>   
+      y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIRSparse.gif" alt="FIRSparse.gif"/>
+<div class="caption">
+Sparse FIR filter. b[n] represents the filter coefficients</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>; <code>pTapDelay</code> points to an array of nonzero indices and is also of size <code>numTaps</code>; <code>pState</code> points to a state array of size <code>maxDelay + blockSize</code>, where <code>maxDelay</code> is the largest offset value that is ever used in the <code>pTapDelay</code> array. Some of the processing functions also require temporary working buffers.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared. There are separate instance structure declarations for each of the 4 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. The code below statically initializes each of the 4 different data type filter instance structures <pre>    
+*arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+*arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+*arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+*arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd></dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the sparse FIR filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga23a9284de5ee39406713b91d18ac8838"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__f32.html">arm_fir_sparse_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchIn</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ae469fac5e1df35f8bcf1b3d7c3136484">arm_circularRead_f32()</a>, <a class="el" href="arm__math_8h.html#a6ff56c0896ce00712ba8f2fcf72cacd3">arm_circularWrite_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#af8b8c775f4084c36774f06c082b4c078">arm_fir_sparse_instance_f32::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a5e19e7f234ac30a3db843352bf2a8515">arm_fir_sparse_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a04af7c738dfb0882ad102fcad501d94a">arm_fir_sparse_instance_f32::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a794af0916666d11cc564d6df08553555">arm_fir_sparse_instance_f32::pState</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#aaa54ae67e5d10c6dd0d697945c638d31">arm_fir_sparse_instance_f32::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__f32.html#a57585aeca9dc8686e08df2865375a86d">arm_fir_sparse_instance_f32::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga86378a08a9d9e1e0e5de77843b34d396"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__f32.html">arm_fir_sparse_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>pTapDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>maxDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of nonzero coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the array of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pTapDelay</td><td>points to the array of offset times. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">maxDelay</td><td>maximum offset time supported. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that will be processed per block. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. <code>pState</code> holds the filter's state variables and must be of length <code>maxDelay + blockSize</code>, where <code>maxDelay</code> is the maximum number of delay line values. <code>blockSize</code> is the number of samples processed by the <code><a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838" title="Processing function for the floating-point sparse FIR filter.">arm_fir_sparse_f32()</a></code> function. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__sparse__instance__f32.html#af8b8c775f4084c36774f06c082b4c078">arm_fir_sparse_instance_f32::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a5e19e7f234ac30a3db843352bf2a8515">arm_fir_sparse_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a04af7c738dfb0882ad102fcad501d94a">arm_fir_sparse_instance_f32::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#a794af0916666d11cc564d6df08553555">arm_fir_sparse_instance_f32::pState</a>, <a class="el" href="structarm__fir__sparse__instance__f32.html#aaa54ae67e5d10c6dd0d697945c638d31">arm_fir_sparse_instance_f32::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__f32.html#a57585aeca9dc8686e08df2865375a86d">arm_fir_sparse_instance_f32::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5eaa80bf72bcccef5a2c5fc6648d1baa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q15.html">arm_fir_sparse_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>pTapDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>maxDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of nonzero coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the array of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pTapDelay</td><td>points to the array of offset times. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">maxDelay</td><td>maximum offset time supported. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that will be processed per block. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. <code>pState</code> holds the filter's state variables and must be of length <code>maxDelay + blockSize</code>, where <code>maxDelay</code> is the maximum number of delay line values. <code>blockSize</code> is the number of words processed by <code><a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc" title="Processing function for the Q15 sparse FIR filter.">arm_fir_sparse_q15()</a></code> function. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__sparse__instance__q15.html#ad14cc1070eecf7e1926d8f67a8273182">arm_fir_sparse_instance_q15::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a0f66b126dd8b85f7467cfb01b7bc4d77">arm_fir_sparse_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a78a6565473b5f0b8c77c3f0f58a76069">arm_fir_sparse_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a98b92b0f5208110129b9a67b1db90408">arm_fir_sparse_instance_q15::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#aeab2855176c6efdb231a73a3672837d5">arm_fir_sparse_instance_q15::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q15.html#a89487f28cab52637426024005e478985">arm_fir_sparse_instance_q15::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9a0bb2134bc85d3e55c6be6d946ee634"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q31.html">arm_fir_sparse_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>pTapDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>maxDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of nonzero coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the array of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pTapDelay</td><td>points to the array of offset times. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">maxDelay</td><td>maximum offset time supported. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that will be processed per block. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. <code>pState</code> holds the filter's state variables and must be of length <code>maxDelay + blockSize</code>, where <code>maxDelay</code> is the maximum number of delay line values. <code>blockSize</code> is the number of words processed by <code><a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec" title="Processing function for the Q31 sparse FIR filter.">arm_fir_sparse_q31()</a></code> function. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__sparse__instance__q31.html#afdd3a1dc72132c854dc379154b68b674">arm_fir_sparse_instance_q31::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a07b6c01e58ec6dde384719130d36b0dc">arm_fir_sparse_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a093d6227f0d1597982cd083fb126f4e0">arm_fir_sparse_instance_q31::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a830be89daa5a393b225048889aa045d1">arm_fir_sparse_instance_q31::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#ab87ae457adec8f727afefaa2599fc983">arm_fir_sparse_instance_q31::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q31.html#a557ed9d477e76e4ad2019344f19f568a">arm_fir_sparse_instance_q31::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga98f5c1a097d4572ce4ff3b0c58ebcdbd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_init_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q7.html">arm_fir_sparse_instance_q7</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t *&#160;</td>
+          <td class="paramname"><em>pTapDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>maxDelay</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q7 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of nonzero coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the array of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pTapDelay</td><td>points to the array of offset times. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">maxDelay</td><td>maximum offset time supported. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples that will be processed per block. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. <code>pState</code> holds the filter's state variables and must be of length <code>maxDelay + blockSize</code>, where <code>maxDelay</code> is the maximum number of delay line values. <code>blockSize</code> is the number of samples processed by the <code><a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c" title="Processing function for the Q7 sparse FIR filter.">arm_fir_sparse_q7()</a></code> function. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__sparse__instance__q7.html#af74dacc1d34c078283e50f2530eb91df">arm_fir_sparse_instance_q7::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a54cdd27ca1c672b126c38763ce678b1c">arm_fir_sparse_instance_q7::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a3dac86f15e33553e8f3e19e0d712bae5">arm_fir_sparse_instance_q7::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a18072cf3ef3666d588f0d49512f2b28f">arm_fir_sparse_instance_q7::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#ac625393c84bc0342ffdf26fc4eba1ac1">arm_fir_sparse_instance_q7::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q7.html#a2d2e65473fe3a3f2b953b4e0b60824df">arm_fir_sparse_instance_q7::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2bffda2e156e72427e19276cd9c3d3cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q15.html">arm_fir_sparse_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchIn</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchOut</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator. Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator. If the accumulator result overflows it will wrap around rather than saturate. After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format. In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#ad5fb134f83f2c802261f172e3dceb131">arm_circularRead_q15()</a>, <a class="el" href="arm__math_8h.html#a3ba2d215477e692def7fda46dda883ed">arm_circularWrite_q15()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#ad14cc1070eecf7e1926d8f67a8273182">arm_fir_sparse_instance_q15::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a0f66b126dd8b85f7467cfb01b7bc4d77">arm_fir_sparse_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a78a6565473b5f0b8c77c3f0f58a76069">arm_fir_sparse_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#a98b92b0f5208110129b9a67b1db90408">arm_fir_sparse_instance_q15::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q15.html#aeab2855176c6efdb231a73a3672837d5">arm_fir_sparse_instance_q15::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q15.html#a89487f28cab52637426024005e478985">arm_fir_sparse_instance_q15::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga03e9c2f0f35ad67d20bac66be9f920ec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q31.html">arm_fir_sparse_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchIn</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The 1.31 x 1.31 multiplications are truncated to 2.30 format. This leads to loss of precision on the intermediate multiplications and provides only a single guard bit. If the accumulator result overflows, it wraps around rather than saturate. In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#ae469fac5e1df35f8bcf1b3d7c3136484">arm_circularRead_f32()</a>, <a class="el" href="arm__math_8h.html#a6ff56c0896ce00712ba8f2fcf72cacd3">arm_circularWrite_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#afdd3a1dc72132c854dc379154b68b674">arm_fir_sparse_instance_q31::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a07b6c01e58ec6dde384719130d36b0dc">arm_fir_sparse_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a093d6227f0d1597982cd083fb126f4e0">arm_fir_sparse_instance_q31::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#a830be89daa5a393b225048889aa045d1">arm_fir_sparse_instance_q31::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q31.html#ab87ae457adec8f727afefaa2599fc983">arm_fir_sparse_instance_q31::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q31.html#a557ed9d477e76e4ad2019344f19f568a">arm_fir_sparse_instance_q31::stateIndex</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae86c145efc2d9ec32dc6d8c1ad2ccb3c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_sparse_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__sparse__instance__q7.html">arm_fir_sparse_instance_q7</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchIn</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratchOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q7 sparse FIR structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchIn</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratchOut</td><td>points to a temporary buffer of size blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. The accumulator is then converted to 18.7 format by discarding the low 7 bits. Finally, the result is truncated to 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a30aa80ea20abe71f3afa99f2f0391ed5">arm_circularRead_q7()</a>, <a class="el" href="arm__math_8h.html#addba85b1f7fbd472fd00ddd9ce43aea8">arm_circularWrite_q7()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#af74dacc1d34c078283e50f2530eb91df">arm_fir_sparse_instance_q7::maxDelay</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a54cdd27ca1c672b126c38763ce678b1c">arm_fir_sparse_instance_q7::numTaps</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a3dac86f15e33553e8f3e19e0d712bae5">arm_fir_sparse_instance_q7::pCoeffs</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#a18072cf3ef3666d588f0d49512f2b28f">arm_fir_sparse_instance_q7::pState</a>, <a class="el" href="structarm__fir__sparse__instance__q7.html#ac625393c84bc0342ffdf26fc4eba1ac1">arm_fir_sparse_instance_q7::pTapDelay</a>, and <a class="el" href="structarm__fir__sparse__instance__q7.html#a2d2e65473fe3a3f2b953b4e0b60824df">arm_fir_sparse_instance_q7::stateIndex</a>.</p>
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+</div><!-- contents -->
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Finite Impulse Response (FIR) Decimator</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga25aa3d58a90bf91b6a82272a0bc518f7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32</a> (const <a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga25aa3d58a90bf91b6a82272a0bc518f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point FIR decimator.  <a href="#ga25aa3d58a90bf91b6a82272a0bc518f7"></a><br/></td></tr>
+<tr class="separator:ga25aa3d58a90bf91b6a82272a0bc518f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3f434c9a5d3b4e68061feac0714ea2ac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15</a> (const <a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga3f434c9a5d3b4e68061feac0714ea2ac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.  <a href="#ga3f434c9a5d3b4e68061feac0714ea2ac"></a><br/></td></tr>
+<tr class="separator:ga3f434c9a5d3b4e68061feac0714ea2ac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3c18cc3d0548a410c577f1bead9582b7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31</a> (<a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga3c18cc3d0548a410c577f1bead9582b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.  <a href="#ga3c18cc3d0548a410c577f1bead9582b7"></a><br/></td></tr>
+<tr class="separator:ga3c18cc3d0548a410c577f1bead9582b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaaa2524b08220fd6c3f753e692ffc7d3b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32</a> (<a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a> *S, uint16_t numTaps, uint8_t M, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaaa2524b08220fd6c3f753e692ffc7d3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point FIR decimator.  <a href="#gaaa2524b08220fd6c3f753e692ffc7d3b"></a><br/></td></tr>
+<tr class="separator:gaaa2524b08220fd6c3f753e692ffc7d3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gada660e54b93d5d32178c6f5e1c6f368d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15</a> (<a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *S, uint16_t numTaps, uint8_t M, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gada660e54b93d5d32178c6f5e1c6f368d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 FIR decimator.  <a href="#gada660e54b93d5d32178c6f5e1c6f368d"></a><br/></td></tr>
+<tr class="separator:gada660e54b93d5d32178c6f5e1c6f368d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9ed47c4e0f58affa935d84e0508a7f39"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31</a> (<a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *S, uint16_t numTaps, uint8_t M, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga9ed47c4e0f58affa935d84e0508a7f39"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 FIR decimator.  <a href="#ga9ed47c4e0f58affa935d84e0508a7f39"></a><br/></td></tr>
+<tr class="separator:ga9ed47c4e0f58affa935d84e0508a7f39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab8bef6d0f6a26fdbfce9485727713ce5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15</a> (const <a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gab8bef6d0f6a26fdbfce9485727713ce5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 FIR decimator.  <a href="#gab8bef6d0f6a26fdbfce9485727713ce5"></a><br/></td></tr>
+<tr class="separator:gab8bef6d0f6a26fdbfce9485727713ce5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaef8e86add28f15fdc5ecc484e9dd7a4e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31</a> (const <a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaef8e86add28f15fdc5ecc484e9dd7a4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 FIR decimator.  <a href="#gaef8e86add28f15fdc5ecc484e9dd7a4e"></a><br/></td></tr>
+<tr class="separator:gaef8e86add28f15fdc5ecc484e9dd7a4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>These functions combine an FIR filter together with a decimator. They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion. Conceptually, the functions are equivalent to the block diagram below: </p>
+<div class="image">
+<img src="FIRDecimator.gif" alt="FIRDecimator.gif"/>
+<div class="caption">
+Components included in the FIR Decimator functions</div></div>
+<p> When decimating by a factor of <code>M</code>, the signal should be prefiltered by a lowpass filter with a normalized cutoff frequency of <code>1/M</code> in order to prevent aliasing distortion. The user of the function is responsible for providing the filter coefficients.</p>
+<p>The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner. Instead of calculating all of the FIR filter outputs and discarding <code>M-1</code> out of every <code>M</code>, only the samples output by the decimator are computed. The functions operate on blocks of input and output data. <code>pSrc</code> points to an array of <code>blockSize</code> input values and <code>pDst</code> points to an array of <code>blockSize/M</code> output values. In order to have an integer number of output samples <code>blockSize</code> must always be a multiple of the decimation factor <code>M</code>.</p>
+<p>The library provides separate functions for Q15, Q31 and floating-point data types.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The FIR portion of the algorithm uses the standard form filter: <pre>    
+     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+  </pre> where, <code>b[n]</code> are the filter coefficients. </dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. Coefficients are stored in time reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. Samples in the state buffer are stored in the order: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+  </pre> The state variables are updated after each block of data is processed, the coefficients are untouched.</dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable array should be allocated separately. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer.</li>
+<li>Checks to make sure that the size of the input is a multiple of the decimation factor. To do this manually without calling the init function, assign the follow subfields of the instance structure: numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. The code below statically initializes each of the 3 different data type filter instance structures <pre>    
+*arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};    
+*arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};    
+*arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};    
+  </pre> where <code>M</code> is the decimation factor; <code>numTaps</code> is the number of filter coefficients in the filter; <code>pCoeffs</code> is the address of the coefficient buffer; <code>pState</code> is the address of the state buffer. Be sure to set the values in the state buffer to zeros when doing static initialization.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the FIR decimate filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga25aa3d58a90bf91b6a82272a0bc518f7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_decimate_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__decimate__instance__f32.html#a76a8b2161731638eb3d67f277919f95d">arm_fir_decimate_instance_f32::M</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03">arm_fir_decimate_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a268a8b0e80a3d9764baf33e4bc10dde2">arm_fir_decimate_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__fir__decimate__instance__f32.html#a5bddf29aaaf2011d2e3bcec59a83f633">arm_fir_decimate_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3f434c9a5d3b4e68061feac0714ea2ac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_decimate_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, state buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>This fast version uses a 32-bit accumulator with 2.30 format. The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2). The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5" title="Processing function for the Q15 FIR decimator.">arm_fir_decimate_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d" title="Initialization function for the Q15 FIR decimator.">arm_fir_decimate_init_q15()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#aad9320284218b3aa378527ea518cf093">arm_fir_decimate_instance_q15::M</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">arm_fir_decimate_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#a01cacab67e73945e8289075598ede14d">arm_fir_decimate_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__decimate__instance__q15.html#a3f7b5184bb28853ef401b001df121047">arm_fir_decimate_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3c18cc3d0548a410c577f1bead9582b7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_decimate_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>This function is optimized for speed at the expense of fixed-point precision and overflow protection. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are added to a 2.30 accumulator. Finally, the accumulator is saturated and converted to a 1.31 result. The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e" title="Processing function for the Q31 FIR decimator.">arm_fir_decimate_q31()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure. Use the function <code><a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39" title="Initialization function for the Q31 FIR decimator.">arm_fir_decimate_init_q31()</a></code> to initialize the filter structure. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__decimate__instance__q31.html#ad3d6936c36303b30dd38f1eddf248ae5">arm_fir_decimate_instance_q31::M</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a37915d42b0dc5e3057ebe83110798482">arm_fir_decimate_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a030d0391538c2481c5b348fd09a952ff">arm_fir_decimate_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__decimate__instance__q31.html#a0ef0ef9e265f7ab873cfc6daa7593fdb">arm_fir_decimate_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaaa2524b08220fd6c3f753e692ffc7d3b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_decimate_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">M</td><td>decimation factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if <code>blockSize</code> is not a multiple of <code>M</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code><a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7" title="Processing function for the floating-point FIR decimator.">arm_fir_decimate_f32()</a></code>. <code>M</code> is the decimation factor. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a76a8b2161731638eb3d67f277919f95d">arm_fir_decimate_instance_f32::M</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03">arm_fir_decimate_instance_f32::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a268a8b0e80a3d9764baf33e4bc10dde2">arm_fir_decimate_instance_f32::pCoeffs</a>, <a class="el" href="structarm__fir__decimate__instance__f32.html#a5bddf29aaaf2011d2e3bcec59a83f633">arm_fir_decimate_instance_f32::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gada660e54b93d5d32178c6f5e1c6f368d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_decimate_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">M</td><td>decimation factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if <code>blockSize</code> is not a multiple of <code>M</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples to the call <code><a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5" title="Processing function for the Q15 FIR decimator.">arm_fir_decimate_q15()</a></code>. <code>M</code> is the decimation factor. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#aad9320284218b3aa378527ea518cf093">arm_fir_decimate_instance_q15::M</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">arm_fir_decimate_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#a01cacab67e73945e8289075598ede14d">arm_fir_decimate_instance_q15::pCoeffs</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#a3f7b5184bb28853ef401b001df121047">arm_fir_decimate_instance_q15::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9ed47c4e0f58affa935d84e0508a7f39"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_fir_decimate_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of coefficients in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">M</td><td>decimation factor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if <code>blockSize</code> is not a multiple of <code>M</code>.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to the array of state variables. <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code><a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e" title="Processing function for the Q31 FIR decimator.">arm_fir_decimate_q31()</a></code>. <code>M</code> is the decimation factor. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9ae74d7f8a53aec0512ae8f0a421e0e1">ARM_MATH_LENGTH_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#ad3d6936c36303b30dd38f1eddf248ae5">arm_fir_decimate_instance_q31::M</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a37915d42b0dc5e3057ebe83110798482">arm_fir_decimate_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a030d0391538c2481c5b348fd09a952ff">arm_fir_decimate_instance_q31::pCoeffs</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a0ef0ef9e265f7ab873cfc6daa7593fdb">arm_fir_decimate_instance_q31::pState</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab8bef6d0f6a26fdbfce9485727713ce5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_decimate_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__decimate__instance__q15.html">arm_fir_decimate_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac" title="Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.">arm_fir_decimate_fast_q15()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#aad9320284218b3aa378527ea518cf093">arm_fir_decimate_instance_q15::M</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">arm_fir_decimate_instance_q15::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q15.html#a01cacab67e73945e8289075598ede14d">arm_fir_decimate_instance_q15::pCoeffs</a>, and <a class="el" href="structarm__fir__decimate__instance__q15.html#a3f7b5184bb28853ef401b001df121047">arm_fir_decimate_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaef8e86add28f15fdc5ecc484e9dd7a4e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fir_decimate_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 FIR decimator structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of input samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to the function <code><a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7" title="Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.">arm_fir_decimate_fast_q31()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="structarm__fir__decimate__instance__q31.html#ad3d6936c36303b30dd38f1eddf248ae5">arm_fir_decimate_instance_q31::M</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a37915d42b0dc5e3057ebe83110798482">arm_fir_decimate_instance_q31::numTaps</a>, <a class="el" href="structarm__fir__decimate__instance__q31.html#a030d0391538c2481c5b348fd09a952ff">arm_fir_decimate_instance_q31::pCoeffs</a>, and <a class="el" href="structarm__fir__decimate__instance__q31.html#a0ef0ef9e265f7ab873cfc6daa7593fdb">arm_fir_decimate_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+[
+    [ "arm_fir_decimate_f32", "group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7", null ],
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+    [ "arm_fir_decimate_fast_q31", "group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7", null ],
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+    [ "arm_fir_decimate_q15", "group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5", null ],
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+<title>CMSIS-DSP: FIR Lowpass Filter Example</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<div class="title">FIR Lowpass Filter Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Removes high frequency signal components from the input using an FIR lowpass filter. The example demonstrates how to configure an FIR filter and then pass data through it in a block-by-block fashion. <div class="image">
+<img src="FIRLPF_signalflow.gif" alt="FIRLPF_signalflow.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The input signal is a sum of two sine waves: 1 kHz and 15 kHz. This is processed by an FIR lowpass filter with cutoff frequency 6 kHz. The lowpass filter eliminates the 15 kHz signal leaving only the 1 kHz sine wave at the output. </dd></dl>
+<dl class="section user"><dt></dt><dd>The lowpass filter was designed using MATLAB with a sample rate of 48 kHz and a length of 29 points. The MATLAB code to generate the filter coefficients is shown below: <pre>
+    h = fir1(28, 6/24);
+</pre> The first argument is the "order" of the filter and is always one less than the desired length. The second argument is the normalized cutoff frequency. This is in the range 0 (DC) to 1.0 (Nyquist). A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25. The CMSIS FIR filter function requires the coefficients to be in time reversed order. <pre>
+    fliplr(h)
+</pre> The resulting filter coefficients and are shown below. Note that the filter is symmetric (a property of linear phase FIR filters) and the point of symmetry is sample 14. Thus the filter will have a delay of 14 samples for all frequencies. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIRLPF_coeffs.gif" alt="FIRLPF_coeffs.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The frequency response of the filter is shown next. The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIRLPF_response.gif" alt="FIRLPF_response.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The input signal is shown below. The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation. The two sine wave components can be clearly seen. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIRLPF_input.gif" alt="FIRLPF_input.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The output of the filter is shown below. The 15 kHz component has been eliminated. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FIRLPF_output.gif" alt="FIRLPF_output.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32_1kHz_15kHz</code> points to the input data </li>
+<li><code>refOutput</code> points to the reference output data </li>
+<li><code>testOutput</code> points to the test output data </li>
+<li><code>firStateF32</code> points to state buffer </li>
+<li><code>firCoeffs32</code> points to coefficient buffer </li>
+<li><code>blockSize</code> number of samples processed at a time </li>
+<li><code>numBlocks</code> number of frames</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db" title="Initialization function for the floating-point FIR filter.">arm_fir_init_f32()</a></li>
+<li><a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a" title="Processing function for the floating-point FIR filter.">arm_fir_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_fir_example_f32_8c-example.html">arm_fir_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+  <div class="headertitle">
+<div class="title">Real FFT Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt></dt><dd>The CMSIS DSP library includes specialized algorithms for computing the FFT of real data sequences. The FFT is defined over complex data but in many applications the input is real. Real FFT algorithms take advantage of the symmetry properties of the FFT and have a speed advantage over complex algorithms of the same length. </dd></dl>
+<dl class="section user"><dt></dt><dd>The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage. </dd></dl>
+<dl class="section user"><dt></dt><dd>The real length N forward FFT of a sequence is computed using the steps shown below. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RFFT.gif" alt="RFFT.gif"/>
+<div class="caption">
+Real Fast Fourier Transform</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The real sequence is initially treated as if it were complex to perform a CFFT. Later, a processing stage reshapes the data to obtain half of the frequency spectrum in complex format. Except the first complex number that contains the two real numbers X[0] and X[N/2] all the data is complex. In other words, the first complex sample contains two real values packed. </dd></dl>
+<dl class="section user"><dt></dt><dd>The input for the inverse RFFT should keep the same format as the output of the forward RFFT. A first processing stage pre-process the data to later perform an inverse CFFT. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RIFFT.gif" alt="RIFFT.gif"/>
+<div class="caption">
+Real Inverse Fast Fourier Transform</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The algorithms for floating-point, Q15, and Q31 data are slightly different and we describe each algorithm in turn. </dd></dl>
+<dl class="section user"><dt>Floating-point</dt><dd>The main functions are <code><a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799" title="Processing function for the floating-point real FFT.">arm_rfft_fast_f32()</a></code> and <code><a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3" title="Initialization function for the floating-point real FFT.">arm_rfft_fast_init_f32()</a></code>. The older functions <code><a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc" title="Processing function for the floating-point RFFT/RIFFT.">arm_rfft_f32()</a></code> and <code><a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068" title="Initialization function for the floating-point RFFT/RIFFT.">arm_rfft_init_f32()</a></code> have been deprecated but are still documented. </dd></dl>
+<dl class="section user"><dt></dt><dd>The FFT of a real N-point sequence has even symmetry in the frequency domain. The second half of the data equals the conjugate of the first half flipped in frequency: <pre>
+*X[0] - real data
+*X[1] - complex data
+*X[2] - complex data
+ ... 
+*X[fftLen/2-1] - complex data
+*X[fftLen/2] - real data
+*X[fftLen/2+1] - conjugate of X[fftLen/2-1]
+*X[fftLen/2+2] - conjugate of X[fftLen/2-2]
+ ... 
+*X[fftLen-1] - conjugate of X[1]
+  </pre> Looking at the data, we see that we can uniquely represent the FFT using only <pre>
+*N/2+1 samples:
+*X[0] - real data
+*X[1] - complex data
+*X[2] - complex data
+ ... 
+*X[fftLen/2-1] - complex data
+*X[fftLen/2] - real data
+  </pre> Looking more closely we see that the first and last samples are real valued. They can be packed together and we can thus represent the FFT of an N-point real sequence by N/2 complex values: <pre>
+*X[0],X[N/2] - packed real data: X[0] + jX[N/2]
+*X[1] - complex data
+*X[2] - complex data
+ ... 
+*X[fftLen/2-1] - complex data
+  </pre> The real FFT functions pack the frequency domain data in this fashion. The forward transform outputs the data in this form and the inverse transform expects input data in this form. The function always performs the needed bitreversal so that the input and output data is always in normal order. The functions support lengths of [32, 64, 128, ..., 4096] samples. </dd></dl>
+<dl class="section user"><dt></dt><dd>The forward and inverse real FFT functions apply the standard FFT scaling; no scaling on the forward transform and 1/fftLen scaling on the inverse transform. </dd></dl>
+<dl class="section user"><dt>Q15 and Q31</dt><dd>The real algorithms are defined in a similar manner and utilize N/2 complex transforms behind the scenes. </dd></dl>
+<dl class="section user"><dt></dt><dd>The complex transforms used internally include scaling to prevent fixed-point overflows. The overall scaling equals 1/(fftLen/2). </dd></dl>
+<dl class="section user"><dt></dt><dd>A separate instance structure must be defined for each transform used but twiddle factor and bit reversal tables can be reused. </dd></dl>
+<dl class="section user"><dt></dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Initializes twiddle factor table and bit reversal table pointers.</li>
+<li>Initializes the internal complex FFT data structure. </li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure should be manually initialized as follows: <pre>
+*arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
+*arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};    
+  </pre> where <code>fftLenReal</code> is the length of the real transform; <code>fftLenBy2</code> length of the internal complex transform. <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform. <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order output (=1). <code>twidCoefRModifier</code> stride modifier for the twiddle factor table. The value is based on the FFT length; <code>pTwiddleAReal</code>points to the A array of twiddle coefficients; <code>pTwiddleBReal</code>points to the B array of twiddle coefficients; <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure must also be initialized. Refer to <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26" title="Processing function for the floating-point Radix-4 CFFT/CIFFT.">arm_cfft_radix4_f32()</a> for details regarding static initialization of the complex FFT instance structure. </dd></dl>
+</div><!-- contents -->
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Fill</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2248e8d3901b4afb7827163132baad94"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94">arm_fill_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> value, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2248e8d3901b4afb7827163132baad94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fills a constant value into a floating-point vector.  <a href="#ga2248e8d3901b4afb7827163132baad94"></a><br/></td></tr>
+<tr class="separator:ga2248e8d3901b4afb7827163132baad94"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga76b21c32a3783a2b3334d930a646e5d8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> value, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga76b21c32a3783a2b3334d930a646e5d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fills a constant value into a Q15 vector.  <a href="#ga76b21c32a3783a2b3334d930a646e5d8"></a><br/></td></tr>
+<tr class="separator:ga76b21c32a3783a2b3334d930a646e5d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga69cc781cf337bd0a31bb85c772a35f7f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f">arm_fill_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> value, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga69cc781cf337bd0a31bb85c772a35f7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fills a constant value into a Q31 vector.  <a href="#ga69cc781cf337bd0a31bb85c772a35f7f"></a><br/></td></tr>
+<tr class="separator:ga69cc781cf337bd0a31bb85c772a35f7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0465cf326ada039ed792f94b033d9ec5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fill.html#ga0465cf326ada039ed792f94b033d9ec5">arm_fill_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> value, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga0465cf326ada039ed792f94b033d9ec5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fills a constant value into a Q7 vector.  <a href="#ga0465cf326ada039ed792f94b033d9ec5"></a><br/></td></tr>
+<tr class="separator:ga0465cf326ada039ed792f94b033d9ec5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Fills the destination vector with a constant value.</p>
+<pre>    
+        pDst[n] = value;   0 &lt;= n &lt; blockSize.    
+</pre><p>There are separate functions for floating point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga2248e8d3901b4afb7827163132baad94"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fill_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>input value to be filled </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the output vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a14">arm_convolution_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a11">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga76b21c32a3783a2b3334d930a646e5d8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fill_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>input value to be filled </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the output vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___conv.html#ga4c7cf073e89d6d57cc4e711f078c3f68">arm_conv_opt_q7()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>, and <a class="el" href="group___corr.html#ga746e8857cafe33ec5d6780729c18c311">arm_correlate_opt_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga69cc781cf337bd0a31bb85c772a35f7f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fill_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>input value to be filled </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the output vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0465cf326ada039ed792f94b033d9ec5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_fill_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>input value to be filled </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the output vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/group___fill.js b/Documentation/DSP/html/group___fill.js
new file mode 100644
index 0000000..b4f098c
--- /dev/null
+++ b/Documentation/DSP/html/group___fill.js
@@ -0,0 +1,7 @@
+var group___fill =
+[
+    [ "arm_fill_f32", "group___fill.html#ga2248e8d3901b4afb7827163132baad94", null ],
+    [ "arm_fill_q15", "group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8", null ],
+    [ "arm_fill_q31", "group___fill.html#ga69cc781cf337bd0a31bb85c772a35f7f", null ],
+    [ "arm_fill_q7", "group___fill.html#ga0465cf326ada039ed792f94b033d9ec5", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group___frequency_bin.html b/Documentation/DSP/html/group___frequency_bin.html
new file mode 100644
index 0000000..22783dc
--- /dev/null
+++ b/Documentation/DSP/html/group___frequency_bin.html
@@ -0,0 +1,166 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Frequency Bin Example</title>
+<title>CMSIS-DSP: Frequency Bin Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___frequency_bin.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Frequency Bin Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the calculation of the maximum energy bin in the frequency domain of the input signal with the use of Complex FFT, Complex Magnitude, and Maximum functions.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The input test signal contains a 10 kHz signal with uniformly distributed white noise. Calculating the FFT of the input signal will give us the maximum energy of the bin corresponding to the input frequency of 10 kHz.</dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd><div class="image">
+<img src="FFTBin.gif" alt="FFTBin.gif"/>
+<div class="caption">
+Block Diagram</div></div>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>The figure below shows the time domain signal of 10 kHz signal with uniformly distributed white noise, and the next figure shows the input in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="FFTBinInput.gif" alt="FFTBinInput.gif"/>
+<div class="caption">
+Input signal in Time domain</div></div>
+<div class="image">
+<img src="FFTBinOutput.gif" alt="FFTBinOutput.gif"/>
+<div class="caption">
+Input signal in Frequency domain</div></div>
+ </dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32_10khz</code> points to the input data </li>
+<li><code>testOutput</code> points to the output data </li>
+<li><code>fftSize</code> length of FFT </li>
+<li><code>ifftFlag</code> flag for the selection of CFFT/CIFFT </li>
+<li><code>doBitReverse</code> Flag for selection of normal order or bit reversed order </li>
+<li><code>refIndex</code> reference index value at which maximum energy of bin ocuurs </li>
+<li><code>testIndex</code> calculated index value at which maximum energy of bin ocuurs</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80" title="Processing function for the floating-point complex FFT.">arm_cfft_f32()</a></li>
+<li><a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213" title="Floating-point complex magnitude.">arm_cmplx_mag_f32()</a></li>
+<li><a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8" title="Maximum value of a floating-point vector.">arm_max_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_fft_bin_example_f32_8c-example.html">arm_fft_bin_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+	-->
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+  </ul>
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+</html>
diff --git a/Documentation/DSP/html/group___g_e_q5_band.html b/Documentation/DSP/html/group___g_e_q5_band.html
new file mode 100644
index 0000000..0180936
--- /dev/null
+++ b/Documentation/DSP/html/group___g_e_q5_band.html
@@ -0,0 +1,186 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Graphic Audio Equalizer Example</title>
+<title>CMSIS-DSP: Graphic Audio Equalizer Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+<div class="header">
+  <div class="headertitle">
+<div class="title">Graphic Audio Equalizer Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>This example demonstrates how a 5-band graphic equalizer can be constructed using the Biquad cascade functions. A graphic equalizer is used in audio applications to vary the tonal quality of the audio.</dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The design is based on a cascade of 5 filter sections. <div class="image">
+<img src="GEQ_signalflow.gif" alt="GEQ_signalflow.gif"/>
+</div>
+ Each filter section is 4th order and consists of a cascade of two Biquads. Each filter has a nominal gain of 0 dB (1.0 in linear units) and boosts or cuts signals within a specific frequency range. The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz. Each band has an adjustable boost or cut in the range of +/- 9 dB. For example, the band that extends from 500 to 2000 Hz has the response shown below: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="GEQ_bandresponse.gif" alt="GEQ_bandresponse.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>With 1 dB steps, each filter has a total of 19 different settings. The filter coefficients for all possible 19 settings were precomputed in MATLAB and stored in a table. With 5 different tables, there are a total of 5 x 19 = 95 different 4th order filters. All 95 responses are shown below: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="GEQ_allbandresponse.gif" alt="GEQ_allbandresponse.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>Each 4th order filter has 10 coefficents for a grand total of 950 different filter coefficients that must be tabulated. The input and output data is in Q31 format. For better noise performance, the two low frequency bands are implemented using the high precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp. </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="GEQ_inputchirp.gif" alt="GEQ_inputchirp.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The array <code>bandGains</code> specifies the gain in dB to apply in each band. For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="GEQ_outputchirp.gif" alt="GEQ_outputchirp.gif"/>
+</div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd></dd></dl>
+<dl class="section note"><dt>Note</dt><dd>The output chirp signal follows the gain or boost of each band. </dd></dl>
+<dl class="section user"><dt></dt><dd></dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32</code> points to the input data </li>
+<li><code>testRefOutput_f32</code> points to the reference output data </li>
+<li><code>testOutput</code> points to the test output data </li>
+<li><code>inputQ31</code> temporary input buffer </li>
+<li><code>outputQ31</code> temporary output buffer </li>
+<li><code>biquadStateBand1Q31</code> points to state buffer for band1 </li>
+<li><code>biquadStateBand2Q31</code> points to state buffer for band2 </li>
+<li><code>biquadStateBand3Q31</code> points to state buffer for band3 </li>
+<li><code>biquadStateBand4Q31</code> points to state buffer for band4 </li>
+<li><code>biquadStateBand5Q31</code> points to state buffer for band5 </li>
+<li><code>coeffTable</code> points to coefficient buffer for all bands </li>
+<li><code>gainDB</code> gain buffer which has gains applied for all the bands</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a></li>
+<li><a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a></li>
+<li><a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b" title="Initialization function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_init_q31()</a></li>
+<li><a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f" title="Processing function for the Q31 Biquad cascade filter.">arm_biquad_cascade_df1_q31()</a></li>
+<li><a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c" title="Multiplies a Q31 vector by a scalar.">arm_scale_q31()</a></li>
+<li><a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123" title="Multiplies a floating-point vector by a scalar.">arm_scale_f32()</a></li>
+<li><a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554" title="Converts the elements of the floating-point vector to Q31 vector.">arm_float_to_q31()</a></li>
+<li><a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4" title="Converts the elements of the Q31 vector to floating-point vector.">arm_q31_to_float()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html">arm_graphic_equalizer_example_q31.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Infinite Impulse Response (IIR) Lattice Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga56164a0fe48619b8ceec160347bdd2ff"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32</a> (const <a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga56164a0fe48619b8ceec160347bdd2ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point IIR lattice filter.  <a href="#ga56164a0fe48619b8ceec160347bdd2ff"></a><br/></td></tr>
+<tr class="separator:ga56164a0fe48619b8ceec160347bdd2ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaed3b0230bb77439dc902daa625985e04"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32</a> (<a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pkCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pvCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaed3b0230bb77439dc902daa625985e04"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point IIR lattice filter.  <a href="#gaed3b0230bb77439dc902daa625985e04"></a><br/></td></tr>
+<tr class="separator:gaed3b0230bb77439dc902daa625985e04"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1f4bc2dd3d5641e96815d3a5aad58998"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15</a> (<a class="el" href="structarm__iir__lattice__instance__q15.html">arm_iir_lattice_instance_q15</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pkCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pvCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga1f4bc2dd3d5641e96815d3a5aad58998"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 IIR lattice filter.  <a href="#ga1f4bc2dd3d5641e96815d3a5aad58998"></a><br/></td></tr>
+<tr class="separator:ga1f4bc2dd3d5641e96815d3a5aad58998"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab686c14175581797d9c3ad7bf1d5cc1e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31</a> (<a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a> *S, uint16_t numStages, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pkCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pvCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gab686c14175581797d9c3ad7bf1d5cc1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 IIR lattice filter.  <a href="#gab686c14175581797d9c3ad7bf1d5cc1e"></a><br/></td></tr>
+<tr class="separator:gab686c14175581797d9c3ad7bf1d5cc1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaeb9e9599a288832ed123183eaa8b294a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15</a> (const <a class="el" href="structarm__iir__lattice__instance__q15.html">arm_iir_lattice_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaeb9e9599a288832ed123183eaa8b294a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 IIR lattice filter.  <a href="#gaeb9e9599a288832ed123183eaa8b294a"></a><br/></td></tr>
+<tr class="separator:gaeb9e9599a288832ed123183eaa8b294a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga123b26fa9156cd8d3622dd85931741ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31</a> (const <a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga123b26fa9156cd8d3622dd85931741ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 IIR lattice filter.  <a href="#ga123b26fa9156cd8d3622dd85931741ed"></a><br/></td></tr>
+<tr class="separator:ga123b26fa9156cd8d3622dd85931741ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements lattice filters for Q15, Q31 and floating-point data types. Lattice filters are used in a variety of adaptive filter applications. The filter structure has feedforward and feedback components and the net impulse response is infinite length. The functions operate on blocks of input and output data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> and <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd><div class="image">
+<img src="IIRLattice.gif" alt="IIRLattice.gif"/>
+<div class="caption">
+Infinite Impulse Response Lattice filter</div></div>
+ <pre>    
+     fN(n)   =  x(n)    
+     fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ...1    
+     gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1    
+     y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pkCoeffs</code> points to array of reflection coefficients of size <code>numStages</code>. Reflection coefficients are stored in time-reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+     {kN, kN-1, ....k1}    
+  </pre> <code>pvCoeffs</code> points to the array of ladder coefficients of size <code>(numStages+1)</code>. Ladder coefficients are stored in time-reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+     {vN, vN-1, ...v0}    
+  </pre> <code>pState</code> points to a state array of size <code>numStages + blockSize</code>. The state variables shown in the figure above (the g values) are stored in the <code>pState</code> array. The state variables are updated after each block of data is processed; the coefficients are untouched. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter. Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: <pre>    
+*arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+*arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+*arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};    
+  </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>numStages</code> is the number of stages in the filter; <code>pState</code> points to the state buffer array; <code>pkCoeffs</code> points to array of the reflection coefficients; <code>pvCoeffs</code> points to the array of ladder coefficients. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the IIR lattice filter functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga56164a0fe48619b8ceec160347bdd2ff"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__iir__lattice__instance__f32.html#af8de449af5efe1f30be82f9ba35587ee">arm_iir_lattice_instance_f32::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__f32.html#aa69fcdd3775e828d450ce1bbd978fa31">arm_iir_lattice_instance_f32::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__f32.html#a30babe7815510219e6e3d28e6e4a5969">arm_iir_lattice_instance_f32::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__f32.html#afc7c8f577e6f27d097fe55f57e707f72">arm_iir_lattice_instance_f32::pvCoeffs</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaed3b0230bb77439dc902daa625985e04"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pkCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pvCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pkCoeffs</td><td>points to the reflection coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pvCoeffs</td><td>points to the ladder coefficient buffer. The array is of length numStages+1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. The array is of length numStages+blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__iir__lattice__instance__f32.html#af8de449af5efe1f30be82f9ba35587ee">arm_iir_lattice_instance_f32::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__f32.html#aa69fcdd3775e828d450ce1bbd978fa31">arm_iir_lattice_instance_f32::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__f32.html#a30babe7815510219e6e3d28e6e4a5969">arm_iir_lattice_instance_f32::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__f32.html#afc7c8f577e6f27d097fe55f57e707f72">arm_iir_lattice_instance_f32::pvCoeffs</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1f4bc2dd3d5641e96815d3a5aad58998"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__iir__lattice__instance__q15.html">arm_iir_lattice_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pkCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pvCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pkCoeffs</td><td>points to reflection coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pvCoeffs</td><td>points to ladder coefficient buffer. The array is of length numStages+1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. The array is of length numStages+blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process per call. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__iir__lattice__instance__q15.html#a96fbed313bef01070409fa182d26ba3f">arm_iir_lattice_instance_q15::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__q15.html#a41c214a1ec38d4a82fae8899d715dd29">arm_iir_lattice_instance_q15::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__q15.html#afd0136ab917b529554d93f41a5e04618">arm_iir_lattice_instance_q15::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__q15.html#a4c4f57f45b223abbe2a9fb727bd2cad9">arm_iir_lattice_instance_q15::pvCoeffs</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab686c14175581797d9c3ad7bf1d5cc1e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numStages</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pkCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pvCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numStages</td><td>number of stages in the filter. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pkCoeffs</td><td>points to the reflection coefficient buffer. The array is of length numStages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pvCoeffs</td><td>points to the ladder coefficient buffer. The array is of length numStages+1. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. The array is of length numStages+blockSize. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="structarm__iir__lattice__instance__q31.html#a9df4570ed28c50fd9193ab654ff236ad">arm_iir_lattice_instance_q31::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__q31.html#a1d30aa16aac7722936ea9dee59211863">arm_iir_lattice_instance_q31::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__q31.html#a941282745effd26a889fbfadf4b95e6a">arm_iir_lattice_instance_q31::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__q31.html#a04507e2b982b1dfa97b7b55752dea6b9">arm_iir_lattice_instance_q31::pvCoeffs</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaeb9e9599a288832ed123183eaa8b294a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__iir__lattice__instance__q15.html">arm_iir_lattice_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__iir__lattice__instance__q15.html#a96fbed313bef01070409fa182d26ba3f">arm_iir_lattice_instance_q15::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__q15.html#a41c214a1ec38d4a82fae8899d715dd29">arm_iir_lattice_instance_q15::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__q15.html#afd0136ab917b529554d93f41a5e04618">arm_iir_lattice_instance_q15::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__q15.html#a4c4f57f45b223abbe2a9fb727bd2cad9">arm_iir_lattice_instance_q15::pvCoeffs</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga123b26fa9156cd8d3622dd85931741ed"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_iir_lattice_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 IIR lattice structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits. After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="structarm__iir__lattice__instance__q31.html#a9df4570ed28c50fd9193ab654ff236ad">arm_iir_lattice_instance_q31::numStages</a>, <a class="el" href="structarm__iir__lattice__instance__q31.html#a1d30aa16aac7722936ea9dee59211863">arm_iir_lattice_instance_q31::pkCoeffs</a>, <a class="el" href="structarm__iir__lattice__instance__q31.html#a941282745effd26a889fbfadf4b95e6a">arm_iir_lattice_instance_q31::pState</a>, and <a class="el" href="structarm__iir__lattice__instance__q31.html#a04507e2b982b1dfa97b7b55752dea6b9">arm_iir_lattice_instance_q31::pvCoeffs</a>.</p>
+
+</div>
+</div>
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+    [ "arm_iir_lattice_init_f32", "group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04", null ],
+    [ "arm_iir_lattice_init_q15", "group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998", null ],
+    [ "arm_iir_lattice_init_q31", "group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e", null ],
+    [ "arm_iir_lattice_q15", "group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a", null ],
+    [ "arm_iir_lattice_q31", "group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed", null ]
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Least Mean Square (LMS) Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae266d009e682180421601627c79a3843"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32</a> (const <a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pRef, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gae266d009e682180421601627c79a3843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for floating-point LMS filter.  <a href="#gae266d009e682180421601627c79a3843"></a><br/></td></tr>
+<tr class="separator:gae266d009e682180421601627c79a3843"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9fc7adca0966ff2cec1746fca8364cee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32</a> (<a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga9fc7adca0966ff2cec1746fca8364cee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for floating-point LMS filter.  <a href="#ga9fc7adca0966ff2cec1746fca8364cee"></a><br/></td></tr>
+<tr class="separator:ga9fc7adca0966ff2cec1746fca8364cee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9544cc26f18cd4465cfbed371be822b3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15</a> (<a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t postShift)</td></tr>
+<tr class="memdesc:ga9544cc26f18cd4465cfbed371be822b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 LMS filter.  <a href="#ga9544cc26f18cd4465cfbed371be822b3"></a><br/></td></tr>
+<tr class="separator:ga9544cc26f18cd4465cfbed371be822b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8d4bc251169f4b102355097a9f7530d6"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31</a> (<a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint32_t postShift)</td></tr>
+<tr class="memdesc:ga8d4bc251169f4b102355097a9f7530d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for Q31 LMS filter.  <a href="#ga8d4bc251169f4b102355097a9f7530d6"></a><br/></td></tr>
+<tr class="separator:ga8d4bc251169f4b102355097a9f7530d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gacde16c17eb75979f81b34e2e2a58c7ac"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15</a> (const <a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pRef, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gacde16c17eb75979f81b34e2e2a58c7ac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for Q15 LMS filter.  <a href="#gacde16c17eb75979f81b34e2e2a58c7ac"></a><br/></td></tr>
+<tr class="separator:gacde16c17eb75979f81b34e2e2a58c7ac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6a0abfe6041253a6f91c63b383a64257"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31</a> (const <a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pRef, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga6a0abfe6041253a6f91c63b383a64257"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for Q31 LMS filter.  <a href="#ga6a0abfe6041253a6f91c63b383a64257"></a><br/></td></tr>
+<tr class="separator:ga6a0abfe6041253a6f91c63b383a64257"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions. LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal. Adaptive filters are often used in communication systems, equalizers, and noise removal. The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types. The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.</p>
+<p>An LMS filter consists of two components as shown below. The first component is a standard transversal or FIR filter. The second component is a coefficient update mechanism. The LMS filter has two input signals. The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. This "error signal" tends towards zero as the filter adapts. The LMS processing functions accept the input and reference input signals and generate the filter output and error signal. </p>
+<div class="image">
+<img src="LMS.gif" alt="LMS.gif"/>
+<div class="caption">
+Internal structure of the Least Mean Square filter</div></div>
+<p>The functions operate on blocks of data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal, <code>pOut</code> points to output signal and <code>pErr</code> points to error signal. All arrays contain <code>blockSize</code> values.</p>
+<p>The functions operate on a block-by-block basis. Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis. The convergence of the LMS filter is slower compared to the normalized LMS algorithm.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The output signal <code>y[n]</code> is computed by a standard FIR filter: <pre>    
+     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+ </pre></dd></dl>
+<dl class="section user"><dt></dt><dd>The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output: <pre>    
+     e[n] = d[n] - y[n].    
+ </pre></dd></dl>
+<dl class="section user"><dt></dt><dd>After each sample of the error signal is computed, the filter coefficients <code>b[k]</code> are updated on a sample-by-sample basis: <pre>    
+     b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1    
+ </pre> where <code>mu</code> is the step size and controls the rate of coefficient convergence. </dd></dl>
+<dl class="section user"><dt></dt><dd>In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. Coefficients are stored in time reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. Samples in the state buffer are stored in the order: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+ </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples. The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, to be avoided and yields a significant speed improvement. The state variables are updated after each block of data is processed. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter and coefficient and state arrays cannot be shared among instances. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if the initialization function is used, then the instance structure cannot be placed into a const data section. To place an instance structure into a const data section, the instance structure must be manually initialized. Set the values in the state buffer to zeros before static initialization. The code below statically initializes each of the 3 different data type filter instance structures <pre>    
+    <a class="el" href="structarm__lms__instance__f32.html" title="Instance structure for the floating-point LMS filter.">arm_lms_instance_f32</a> S = {numTaps, pState, pCoeffs, mu};    
+    <a class="el" href="structarm__lms__instance__q31.html" title="Instance structure for the Q31 LMS filter.">arm_lms_instance_q31</a> S = {numTaps, pState, pCoeffs, mu, postShift};    
+    <a class="el" href="structarm__lms__instance__q15.html" title="Instance structure for the Q15 LMS filter.">arm_lms_instance_q15</a> S = {numTaps, pState, pCoeffs, mu, postShift};    
+ </pre> where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer; <code>pCoeffs</code> is the address of the coefficient buffer; <code>mu</code> is the step size parameter; and <code>postShift</code> is the shift applied to coefficients.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior: </dt><dd>Care must be taken when using the Q15 and Q31 versions of the LMS filter. The following issues must be considered:<ul>
+<li>Scaling of coefficients</li>
+<li>Overflow and saturation</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Scaling of Coefficients: </dt><dd>Filter coefficients are represented as fractional values and coefficients are restricted to lie in the range <code>[-1 +1)</code>. The fixed-point functions have an additional scaling parameter <code>postShift</code>. At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. This essentially scales the filter coefficients by <code>2^postShift</code> and allows the filter coefficients to exceed the range <code>[+1 -1)</code>. The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.</dd></dl>
+<dl class="section user"><dt>Overflow and Saturation: </dt><dd>Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are described separately as part of the function specific documentation below. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae266d009e682180421601627c79a3843"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>This function operates on floating-point data types.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__lms__instance__f32.html#ae2af43d74c93dba16b876e10c97a5b99">arm_lms_instance_f32::mu</a>, <a class="el" href="structarm__lms__instance__f32.html#af73880d9009982f5d14529869494ec3d">arm_lms_instance_f32::numTaps</a>, <a class="el" href="structarm__lms__instance__f32.html#a4795c6f7d3f17cec15c2fd09f66edd1a">arm_lms_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__lms__instance__f32.html#aaf94285be2f99b5b9af40bea8dcb14b9">arm_lms_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9fc7adca0966ff2cec1746fca8364cee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843" title="Processing function for floating-point LMS filter.">arm_lms_f32()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="structarm__lms__instance__f32.html#ae2af43d74c93dba16b876e10c97a5b99">arm_lms_instance_f32::mu</a>, <a class="el" href="structarm__lms__instance__f32.html#af73880d9009982f5d14529869494ec3d">arm_lms_instance_f32::numTaps</a>, <a class="el" href="structarm__lms__instance__f32.html#a4795c6f7d3f17cec15c2fd09f66edd1a">arm_lms_instance_f32::pCoeffs</a>, and <a class="el" href="structarm__lms__instance__f32.html#aaf94285be2f99b5b9af40bea8dcb14b9">arm_lms_instance_f32::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9544cc26f18cd4465cfbed371be822b3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to the coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>bit shift applied to coefficients. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to the array of state variables and size of array is <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac" title="Processing function for Q15 LMS filter.">arm_lms_q15()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="structarm__lms__instance__q15.html#aae46129d7cfd7f1c162cc502ed0a9d49">arm_lms_instance_q15::mu</a>, <a class="el" href="structarm__lms__instance__q15.html#a0078e894f805af1b360369e619fb57b3">arm_lms_instance_q15::numTaps</a>, <a class="el" href="structarm__lms__instance__q15.html#a42f95368b94898eb82608e1113d18cab">arm_lms_instance_q15::pCoeffs</a>, <a class="el" href="structarm__lms__instance__q15.html#acca5fbaef4a52ae411de24c9a0b929cf">arm_lms_instance_q15::postShift</a>, and <a class="el" href="structarm__lms__instance__q15.html#a9a575ff82c1e68cbb583083439260d08">arm_lms_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8d4bc251169f4b102355097a9f7530d6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>bit shift applied to coefficients. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257" title="Processing function for Q31 LMS filter.">arm_lms_q31()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="structarm__lms__instance__q31.html#acb6ca9996b3c5f740d5d6c8e9f4f1d46">arm_lms_instance_q31::mu</a>, <a class="el" href="structarm__lms__instance__q31.html#ac0d84f7d054555931ef8a62511fbcb8a">arm_lms_instance_q31::numTaps</a>, <a class="el" href="structarm__lms__instance__q31.html#a4afe56e991a5416adfd462aa88bda500">arm_lms_instance_q31::pCoeffs</a>, <a class="el" href="structarm__lms__instance__q31.html#a4705a8f0011bb9166e09bf5bd51e595e">arm_lms_instance_q31::postShift</a>, and <a class="el" href="structarm__lms__instance__q31.html#a206d47b49de6f357f933ebe61520753c">arm_lms_instance_q31::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gacde16c17eb75979f81b34e2e2a58c7ac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Scaling and Overflow Behavior: </dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__lms__instance__q15.html#aae46129d7cfd7f1c162cc502ed0a9d49">arm_lms_instance_q15::mu</a>, <a class="el" href="structarm__lms__instance__q15.html#a0078e894f805af1b360369e619fb57b3">arm_lms_instance_q15::numTaps</a>, <a class="el" href="structarm__lms__instance__q15.html#a42f95368b94898eb82608e1113d18cab">arm_lms_instance_q15::pCoeffs</a>, <a class="el" href="structarm__lms__instance__q15.html#acca5fbaef4a52ae411de24c9a0b929cf">arm_lms_instance_q15::postShift</a>, and <a class="el" href="structarm__lms__instance__q15.html#a9a575ff82c1e68cbb583083439260d08">arm_lms_instance_q15::pState</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga6a0abfe6041253a6f91c63b383a64257"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Scaling and Overflow Behavior: </dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clips. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. The reference signal should not be scaled down. After all multiply-accumulates are performed, the 2.62 accumulator is shifted and saturated to 1.31 format to yield the final result. The output signal and error signal are in 1.31 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="structarm__lms__instance__q31.html#acb6ca9996b3c5f740d5d6c8e9f4f1d46">arm_lms_instance_q31::mu</a>, <a class="el" href="structarm__lms__instance__q31.html#ac0d84f7d054555931ef8a62511fbcb8a">arm_lms_instance_q31::numTaps</a>, <a class="el" href="structarm__lms__instance__q31.html#a4afe56e991a5416adfd462aa88bda500">arm_lms_instance_q31::pCoeffs</a>, <a class="el" href="structarm__lms__instance__q31.html#a4705a8f0011bb9166e09bf5bd51e595e">arm_lms_instance_q31::postShift</a>, and <a class="el" href="structarm__lms__instance__q31.html#a206d47b49de6f357f933ebe61520753c">arm_lms_instance_q31::pState</a>.</p>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Normalized LMS Filters</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2418c929087c6eba719758eaae3f3300"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32</a> (<a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pRef, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2418c929087c6eba719758eaae3f3300"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for floating-point normalized LMS filter.  <a href="#ga2418c929087c6eba719758eaae3f3300"></a><br/></td></tr>
+<tr class="separator:ga2418c929087c6eba719758eaae3f3300"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac7ccbaea863882056eee815456464670"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32</a> (<a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pState, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gac7ccbaea863882056eee815456464670"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for floating-point normalized LMS filter.  <a href="#gac7ccbaea863882056eee815456464670"></a><br/></td></tr>
+<tr class="separator:gac7ccbaea863882056eee815456464670"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga213ab1ee2e154cc2fa30d667b1994b89"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15</a> (<a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint8_t postShift)</td></tr>
+<tr class="memdesc:ga213ab1ee2e154cc2fa30d667b1994b89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for Q15 normalized LMS filter.  <a href="#ga213ab1ee2e154cc2fa30d667b1994b89"></a><br/></td></tr>
+<tr class="separator:ga213ab1ee2e154cc2fa30d667b1994b89"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1d9659dbbea4c89a7a9d14d5fc0dd490"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31</a> (<a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a> *S, uint16_t numTaps, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCoeffs, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pState, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> mu, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, uint8_t postShift)</td></tr>
+<tr class="memdesc:ga1d9659dbbea4c89a7a9d14d5fc0dd490"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for Q31 normalized LMS filter.  <a href="#ga1d9659dbbea4c89a7a9d14d5fc0dd490"></a><br/></td></tr>
+<tr class="separator:ga1d9659dbbea4c89a7a9d14d5fc0dd490"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad47486a399dedb0bc85a5990ec5cf981"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15</a> (<a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pRef, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gad47486a399dedb0bc85a5990ec5cf981"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for Q15 normalized LMS filter.  <a href="#gad47486a399dedb0bc85a5990ec5cf981"></a><br/></td></tr>
+<tr class="separator:gad47486a399dedb0bc85a5990ec5cf981"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7128775e99817c183a7d7ad34e8b6e05"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31</a> (<a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pRef, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pErr, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga7128775e99817c183a7d7ad34e8b6e05"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for Q31 normalized LMS filter.  <a href="#ga7128775e99817c183a7d7ad34e8b6e05"></a><br/></td></tr>
+<tr class="separator:ga7128775e99817c183a7d7ad34e8b6e05"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions implements a commonly used adaptive filter. It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization factor which increases the adaptation rate of the filter. The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.</p>
+<p>A normalized least mean square (NLMS) filter consists of two components as shown below. The first component is a standard transversal or FIR filter. The second component is a coefficient update mechanism. The NLMS filter has two input signals. The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. This "error signal" tends towards zero as the filter adapts. The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal. </p>
+<div class="image">
+<img src="LMS.gif" alt="LMS.gif"/>
+<div class="caption">
+Internal structure of the NLMS adaptive filter</div></div>
+<p>The functions operate on blocks of data and each call to the function processes <code>blockSize</code> samples through the filter. <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal, <code>pOut</code> points to output signal and <code>pErr</code> points to error signal. All arrays contain <code>blockSize</code> values.</p>
+<p>The functions operate on a block-by-block basis. Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis. The convergence of the LMS filter is slower compared to the normalized LMS algorithm.</p>
+<dl class="section user"><dt>Algorithm: </dt><dd>The output signal <code>y[n]</code> is computed by a standard FIR filter: <pre>    
+     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]    
+ </pre></dd></dl>
+<dl class="section user"><dt></dt><dd>The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output: <pre>    
+     e[n] = d[n] - y[n].    
+ </pre></dd></dl>
+<dl class="section user"><dt></dt><dd>After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: <pre>    
+    E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.    
+ </pre> The filter coefficients <code>b[k]</code> are then updated on a sample-by-sample basis: <pre>    
+     b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1    
+ </pre> where <code>mu</code> is the step size and controls the rate of coefficient convergence. </dd></dl>
+<dl class="section user"><dt></dt><dd>In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. Coefficients are stored in time reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+ </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd><code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. Samples in the state buffer are stored in the order: </dd></dl>
+<dl class="section user"><dt></dt><dd><pre>    
+    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}    
+ </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples. The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, to be avoided and yields a significant speed improvement. The state variables are updated after each block of data is processed. </dd></dl>
+<dl class="section user"><dt>Instance Structure </dt><dd>The coefficients and state variables for a filter are stored together in an instance data structure. A separate instance structure must be defined for each filter and coefficient and state arrays cannot be shared among instances. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Initialization Functions </dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Sets the values of the internal structure fields.</li>
+<li>Zeros out the values in the state buffer. To do this manually without calling the init function, assign the follow subfields of the instance structure: numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. For Q7, Q15, and Q31 the following fields must also be initialized; recipTable, postShift</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior: </dt><dd>Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter. The following issues must be considered:<ul>
+<li>Scaling of coefficients</li>
+<li>Overflow and saturation</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Scaling of Coefficients: </dt><dd>Filter coefficients are represented as fractional values and coefficients are restricted to lie in the range <code>[-1 +1)</code>. The fixed-point functions have an additional scaling parameter <code>postShift</code>. At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. This essentially scales the filter coefficients by <code>2^postShift</code> and allows the filter coefficients to exceed the range <code>[+1 -1)</code>. The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.</dd></dl>
+<dl class="section user"><dt>Overflow and Saturation: </dt><dd>Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are described separately as part of the function specific documentation below. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga2418c929087c6eba719758eaae3f3300"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point normalized LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a29">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a6a4119e4f39447bbee31b066deafa16f">arm_lms_norm_instance_f32::energy</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a84401d3cfc6c40f69c08223cf341b886">arm_lms_norm_instance_f32::mu</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#ac95f8ca3d816524c2070643852fac5e8">arm_lms_norm_instance_f32::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a1ba688d90aba7de003ed4ad8e2e7ddda">arm_lms_norm_instance_f32::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a0bc03338687002ed5f2e4a363eb095ec">arm_lms_norm_instance_f32::pState</a>, and <a class="el" href="structarm__lms__norm__instance__f32.html#aec958fe89b164a30f38bcca9f5d96218">arm_lms_norm_instance_f32::x0</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac7ccbaea863882056eee815456464670"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300" title="Processing function for floating-point normalized LMS filter.">arm_lms_norm_f32()</a></code>. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#a23">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__lms__norm__instance__f32.html#a6a4119e4f39447bbee31b066deafa16f">arm_lms_norm_instance_f32::energy</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a84401d3cfc6c40f69c08223cf341b886">arm_lms_norm_instance_f32::mu</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#ac95f8ca3d816524c2070643852fac5e8">arm_lms_norm_instance_f32::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a1ba688d90aba7de003ed4ad8e2e7ddda">arm_lms_norm_instance_f32::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__f32.html#a0bc03338687002ed5f2e4a363eb095ec">arm_lms_norm_instance_f32::pState</a>, and <a class="el" href="structarm__lms__norm__instance__f32.html#aec958fe89b164a30f38bcca9f5d96218">arm_lms_norm_instance_f32::x0</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__signal__converge__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga213ab1ee2e154cc2fa30d667b1994b89"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 normalized LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>bit shift applied to coefficients. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to the array of state variables and size of array is <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981" title="Processing function for Q15 normalized LMS filter.">arm_lms_norm_q15()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__common__tables_8c.html#a66ca8ac5f3a63d9962f501ae60aa32be">armRecipTableQ15</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a1c81ded399919d8181026bc1c8602e7b">arm_lms_norm_instance_q15::energy</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a7ce00f21d11cfda6d963240641deea8c">arm_lms_norm_instance_q15::mu</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a9ee7a45f4f315d7996a969e25fdc7146">arm_lms_norm_instance_q15::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#ae7bca648c75a2ffa02d87852bb78bc8a">arm_lms_norm_instance_q15::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#aa0d435fbcf7dedb7179d4467e9b79e9f">arm_lms_norm_instance_q15::postShift</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#aa4de490b3bdbd03561b76ee07901c8e3">arm_lms_norm_instance_q15::pState</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a9aabb0e4c79f3db807e7a441fa36f5f8">arm_lms_norm_instance_q15::recipTable</a>, and <a class="el" href="structarm__lms__norm__instance__q15.html#a3fc1d6f97d2c6d5324871de6895cb7e9">arm_lms_norm_instance_q15::x0</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1d9659dbbea4c89a7a9d14d5fc0dd490"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>numTaps</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoeffs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>postShift</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 normalized LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numTaps</td><td>number of filter coefficients. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pCoeffs</td><td>points to coefficient buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to state buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mu</td><td>step size that controls filter coefficient updates. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">postShift</td><td>bit shift applied to coefficients. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Description:</b> </p>
+<dl class="section user"><dt></dt><dd><code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: <pre>    
+   {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}    
+</pre> The initial filter coefficients serve as a starting point for the adaptive filter. <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code><a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05" title="Processing function for Q31 normalized LMS filter.">arm_lms_norm_q31()</a></code>. </dd></dl>
+
+<p>References <a class="el" href="arm__common__tables_8c.html#aae6056f6c4e8f7e494445196bf864479">armRecipTableQ31</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a3c0ae42869afec8555dc8e3a7ef9b386">arm_lms_norm_instance_q31::energy</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#ad3dd2a2406e02fdaa7782ba6c3940a64">arm_lms_norm_instance_q31::mu</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a28e4c085af69c9c3e2e95dacf8004c3e">arm_lms_norm_instance_q31::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a57a64c1ff102d033c1bd05043f1d9955">arm_lms_norm_instance_q31::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a28d7b9e437817f83397e081967e90f3c">arm_lms_norm_instance_q31::postShift</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a6b25c96cf048b77078d62f4252a01ec4">arm_lms_norm_instance_q31::pState</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a85836d0907077b9ac660f7bbbaa9d694">arm_lms_norm_instance_q31::recipTable</a>, and <a class="el" href="structarm__lms__norm__instance__q31.html#a47c4466d644e0d8ba407995adfa9b917">arm_lms_norm_instance_q31::x0</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad47486a399dedb0bc85a5990ec5cf981"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 normalized LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a1c66e370a6ae91aaafbaec5e979198d7">arm_recip_q15()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a663277ff19ad0b409fb98b64b2c2750b">DELTA_Q15</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a1c81ded399919d8181026bc1c8602e7b">arm_lms_norm_instance_q15::energy</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a7ce00f21d11cfda6d963240641deea8c">arm_lms_norm_instance_q15::mu</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a9ee7a45f4f315d7996a969e25fdc7146">arm_lms_norm_instance_q15::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#ae7bca648c75a2ffa02d87852bb78bc8a">arm_lms_norm_instance_q15::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#aa0d435fbcf7dedb7179d4467e9b79e9f">arm_lms_norm_instance_q15::postShift</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#aa4de490b3bdbd03561b76ee07901c8e3">arm_lms_norm_instance_q15::pState</a>, <a class="el" href="structarm__lms__norm__instance__q15.html#a9aabb0e4c79f3db807e7a441fa36f5f8">arm_lms_norm_instance_q15::recipTable</a>, and <a class="el" href="structarm__lms__norm__instance__q15.html#a3fc1d6f97d2c6d5324871de6895cb7e9">arm_lms_norm_instance_q15::x0</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7128775e99817c183a7d7ad34e8b6e05"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_lms_norm_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pRef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pErr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 normalized LMS filter structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the block of input data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pRef</td><td>points to the block of reference data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>points to the block of output data. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pErr</td><td>points to the block of error data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples to process. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. The reference signal should not be scaled down. After all multiply-accumulates are performed, the 2.62 accumulator is shifted and saturated to 1.31 format to yield the final result. The output signal and error signal are in 1.31 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a43140f04ca94c2a7394e7a222e2d8fb4">arm_recip_q31()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="arm__math_8h.html#aad77ae594e95c5af6ae4129bd6a483c2">DELTA_Q31</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a3c0ae42869afec8555dc8e3a7ef9b386">arm_lms_norm_instance_q31::energy</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#ad3dd2a2406e02fdaa7782ba6c3940a64">arm_lms_norm_instance_q31::mu</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a28e4c085af69c9c3e2e95dacf8004c3e">arm_lms_norm_instance_q31::numTaps</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a57a64c1ff102d033c1bd05043f1d9955">arm_lms_norm_instance_q31::pCoeffs</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a28d7b9e437817f83397e081967e90f3c">arm_lms_norm_instance_q31::postShift</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a6b25c96cf048b77078d62f4252a01ec4">arm_lms_norm_instance_q31::pState</a>, <a class="el" href="structarm__lms__norm__instance__q31.html#a85836d0907077b9ac660f7bbbaa9d694">arm_lms_norm_instance_q31::recipTable</a>, and <a class="el" href="structarm__lms__norm__instance__q31.html#a47c4466d644e0d8ba407995adfa9b917">arm_lms_norm_instance_q31::x0</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+<div class="title">Linear Interpolate Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<p><b> CMSIS DSP Software Library &ndash; Linear Interpolate Example </b></p>
+<p><b> Description </b> This example demonstrates usage of linear interpolate modules and fast math modules. Method 1 uses fast math sine function to calculate sine values using cubic interpolation and method 2 uses linear interpolation function and results are compared to reference output. Example shows linear interpolation function can be used to get higher precision compared to fast math sin calculation.</p>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="linearInterpExampleMethod1.gif" alt="linearInterpExampleMethod1.gif"/>
+<div class="caption">
+Method 1: Sine caluclation using fast math</div></div>
+</dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="linearInterpExampleMethod2.gif" alt="linearInterpExampleMethod2.gif"/>
+<div class="caption">
+Method 2: Sine caluclation using interpolation function</div></div>
+ </dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInputSin_f32</code> points to the input values for sine calculation </li>
+<li><code>testRefSinOutput32_f32</code> points to the reference values caculated from sin() matlab function </li>
+<li><code>testOutput</code> points to output buffer calculation from cubic interpolation </li>
+<li><code>testLinIntOutput</code> points to output buffer calculation from linear interpolation </li>
+<li><code>snr1</code> Signal to noise ratio for reference and cubic interpolation output </li>
+<li><code>snr2</code> Signal to noise ratio for reference and linear interpolation output</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541" title="Fast approximation to the trigonometric sine function for floating-point data.">arm_sin_f32()</a></li>
+<li><a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6" title="Process function for the floating-point Linear Interpolation Function.">arm_linear_interp_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_linear_interp_example_f32_8c-example.html">arm_linear_interp_example_f32.c</a> </p>
+</div><!-- contents -->
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Linear Interpolation</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_interpolation.html">Interpolation Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2269263d810cafcd19681957b37d5cf6"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32</a> (<a class="el" href="structarm__linear__interp__instance__f32.html">arm_linear_interp_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> x)</td></tr>
+<tr class="memdesc:ga2269263d810cafcd19681957b37d5cf6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the floating-point Linear Interpolation Function.  <a href="#ga2269263d810cafcd19681957b37d5cf6"></a><br/></td></tr>
+<tr class="separator:ga2269263d810cafcd19681957b37d5cf6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga690e63e9a513ca0a741b1b174805d031"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___linear_interpolate.html#ga690e63e9a513ca0a741b1b174805d031">arm_linear_interp_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pYData, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x, uint32_t nValues)</td></tr>
+<tr class="memdesc:ga690e63e9a513ca0a741b1b174805d031"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the Q31 Linear Interpolation Function.  <a href="#ga690e63e9a513ca0a741b1b174805d031"></a><br/></td></tr>
+<tr class="separator:ga690e63e9a513ca0a741b1b174805d031"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga42c9206e5d2d22b8808716dc30622846"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___linear_interpolate.html#ga42c9206e5d2d22b8808716dc30622846">arm_linear_interp_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pYData, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x, uint32_t nValues)</td></tr>
+<tr class="memdesc:ga42c9206e5d2d22b8808716dc30622846"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the Q15 Linear Interpolation Function.  <a href="#ga42c9206e5d2d22b8808716dc30622846"></a><br/></td></tr>
+<tr class="separator:ga42c9206e5d2d22b8808716dc30622846"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gacb0d44fe00aca0ba1d036d469a1763fc"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___linear_interpolate.html#gacb0d44fe00aca0ba1d036d469a1763fc">arm_linear_interp_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pYData, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x, uint32_t nValues)</td></tr>
+<tr class="memdesc:gacb0d44fe00aca0ba1d036d469a1763fc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the Q7 Linear Interpolation Function.  <a href="#gacb0d44fe00aca0ba1d036d469a1763fc"></a><br/></td></tr>
+<tr class="separator:gacb0d44fe00aca0ba1d036d469a1763fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Linear interpolation is a method of curve fitting using linear polynomials. Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line</p>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="LinearInterp.gif" alt="LinearInterp.gif"/>
+<div class="caption">
+Linear interpolation</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>A Linear Interpolate function calculates an output value(y), for the input(x) using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd><pre>
+      y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+      where x0, x1 are nearest values of input x
+            y0, y1 are nearest values to output y
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>This set of functions implements Linear interpolation process for Q7, Q15, Q31, and floating-point data types. The functions operate on a single sample of data and each call to the function returns a single processed value. <code>S</code> points to an instance of the Linear Interpolate function data structure. <code>x</code> is the input sample value. The functions returns the output value.</dd></dl>
+<dl class="section user"><dt></dt><dd>if x is outside of the table boundary, Linear interpolation returns first value of the table if x is below input range and returns last value of table if x is above range. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga2269263d810cafcd19681957b37d5cf6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_linear_interp_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__linear__interp__instance__f32.html">arm_linear_interp_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>is an instance of the floating-point Linear Interpolation structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input sample to process </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>y processed output sample. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a13">arm_linear_interp_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__linear__interp__instance__f32.html#a95f02a926b16d35359aca5b31e813b11">arm_linear_interp_instance_f32::nValues</a>, <a class="el" href="structarm__linear__interp__instance__f32.html#ab373001f6afad0850359c344a4d7eee4">arm_linear_interp_instance_f32::pYData</a>, <a class="el" href="structarm__linear__interp__instance__f32.html#a08352dc6ea82fbc0827408e018535481">arm_linear_interp_instance_f32::x1</a>, and <a class="el" href="structarm__linear__interp__instance__f32.html#aa8e2d686b5434a406d390b347b183511">arm_linear_interp_instance_f32::xSpacing</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga42c9206e5d2d22b8808716dc30622846"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_linear_interp_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pYData</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>nValues</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pYData</td><td>pointer to Q15 Linear Interpolation table </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input sample to process </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nValues</td><td>number of table values </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>y processed output sample.</dd></dl>
+<dl class="section user"><dt></dt><dd>Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. This function can support maximum of table size 2^12. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga690e63e9a513ca0a741b1b174805d031"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_linear_interp_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pYData</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>nValues</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pYData</td><td>pointer to Q31 Linear Interpolation table </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input sample to process </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nValues</td><td>number of table values </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>y processed output sample.</dd></dl>
+<dl class="section user"><dt></dt><dd>Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. This function can support maximum of table size 2^12. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gacb0d44fe00aca0ba1d036d469a1763fc"></a>
+<div class="memitem">
+<div class="memproto">
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+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> arm_linear_interp_q7 </td>
+          <td>(</td>
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+          <td class="paramname"><em>pYData</em>, </td>
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+          <td class="paramkey"></td>
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+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>nValues</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pYData</td><td>pointer to Q7 Linear Interpolation table </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input sample to process </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nValues</td><td>number of table values </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>y processed output sample.</dd></dl>
+<dl class="section user"><dt></dt><dd>Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. This function can support maximum of table size 2^12. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<title>Matrix Addition</title>
+<title>CMSIS-DSP: Matrix Addition</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+$(document).ready(function(){initNavTree('group___matrix_add.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Addition</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga04bbf64a5f9c9e57dd1efb26a768aba1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcB, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:ga04bbf64a5f9c9e57dd1efb26a768aba1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix addition.  <a href="#ga04bbf64a5f9c9e57dd1efb26a768aba1"></a><br/></td></tr>
+<tr class="separator:ga04bbf64a5f9c9e57dd1efb26a768aba1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga147e90b7c12a162735ab8824127a33ee"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15</a> (const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pDst)</td></tr>
+<tr class="memdesc:ga147e90b7c12a162735ab8824127a33ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix addition.  <a href="#ga147e90b7c12a162735ab8824127a33ee"></a><br/></td></tr>
+<tr class="separator:ga147e90b7c12a162735ab8824127a33ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7d9d7d81a0832a17b831aad1e4a5dc16"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:ga7d9d7d81a0832a17b831aad1e4a5dc16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix addition.  <a href="#ga7d9d7d81a0832a17b831aad1e4a5dc16"></a><br/></td></tr>
+<tr class="separator:ga7d9d7d81a0832a17b831aad1e4a5dc16"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Adds two matrices. </p>
+<div class="image">
+<img src="MatrixAddition.gif" alt="MatrixAddition.gif"/>
+<div class="caption">
+Addition of two 3 x 3 matrices</div></div>
+<p>The functions check to make sure that <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same number of rows and columns. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga04bbf64a5f9c9e57dd1efb26a768aba1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_add_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga147e90b7c12a162735ab8824127a33ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_add_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7d9d7d81a0832a17b831aad1e4a5dc16"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_add_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+var group___matrix_add =
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+    [ "arm_mat_add_q15", "group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee", null ],
+    [ "arm_mat_add_q31", "group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16", null ]
+];
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diff --git a/Documentation/DSP/html/group___matrix_example.html b/Documentation/DSP/html/group___matrix_example.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>CMSIS-DSP: Matrix Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">Matrix Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse functions to apply least squares fitting to input data. Least squares fitting is the procedure for finding the best-fitting curve that minimizes the sum of the squares of the offsets (least square error) from a given set of data.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The linear combination of parameters considered is as follows: </dd></dl>
+<dl class="section user"><dt></dt><dd><code>A * X = B</code>, where <code>X</code> is the unknown value and can be estimated from <code>A</code> &amp; <code>B</code>. </dd></dl>
+<dl class="section user"><dt></dt><dd>The least squares estimate <code>X</code> is given by the following equation: </dd></dl>
+<dl class="section user"><dt></dt><dd><code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code></dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="matrixExample.gif" alt="matrixExample.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>A_f32</code> input matrix in the linear combination equation </li>
+<li><code>B_f32</code> output matrix in the linear combination equation </li>
+<li><code>X_f32</code> unknown matrix estimated using <code>A_f32</code> &amp; <code>B_f32</code> matrices</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32()</a></li>
+<li><a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789" title="Floating-point matrix transpose.">arm_mat_trans_f32()</a></li>
+<li><a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0" title="Floating-point matrix multiplication.">arm_mat_mult_f32()</a></li>
+<li><a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3" title="Floating-point matrix inverse.">arm_mat_inverse_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_matrix_example_f32_8c-example.html">arm_matrix_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
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diff --git a/Documentation/DSP/html/group___matrix_init.html b/Documentation/DSP/html/group___matrix_init.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-DSP: Matrix Initialization</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Initialization</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga11e3dc41592a6401c13182fef9416a27"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32</a> (<a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *S, uint16_t nRows, uint16_t nColumns, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pData)</td></tr>
+<tr class="memdesc:ga11e3dc41592a6401c13182fef9416a27"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix initialization.  <a href="#ga11e3dc41592a6401c13182fef9416a27"></a><br/></td></tr>
+<tr class="separator:ga11e3dc41592a6401c13182fef9416a27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga31a7c2b991803d49719393eb2d53dc26"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15</a> (<a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *S, uint16_t nRows, uint16_t nColumns, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pData)</td></tr>
+<tr class="memdesc:ga31a7c2b991803d49719393eb2d53dc26"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix initialization.  <a href="#ga31a7c2b991803d49719393eb2d53dc26"></a><br/></td></tr>
+<tr class="separator:ga31a7c2b991803d49719393eb2d53dc26"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga48a5e5d37e1f062cc57fcfaf683343cc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31</a> (<a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *S, uint16_t nRows, uint16_t nColumns, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pData)</td></tr>
+<tr class="memdesc:ga48a5e5d37e1f062cc57fcfaf683343cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix initialization.  <a href="#ga48a5e5d37e1f062cc57fcfaf683343cc"></a><br/></td></tr>
+<tr class="separator:ga48a5e5d37e1f062cc57fcfaf683343cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Initializes the underlying matrix data structure. The functions set the <code>numRows</code>, <code>numCols</code>, and <code>pData</code> fields of the matrix data structure. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga11e3dc41592a6401c13182fef9416a27"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mat_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nRows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nColumns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pData</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point matrix structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nRows</td><td>number of rows in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nColumns</td><td>number of columns in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pData</td><td>points to the matrix data array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a14">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#a11">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, and <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga31a7c2b991803d49719393eb2d53dc26"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mat_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nRows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nColumns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pData</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point matrix structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nRows</td><td>number of rows in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nColumns</td><td>number of columns in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pData</td><td>points to the matrix data array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, and <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga48a5e5d37e1f062cc57fcfaf683343cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mat_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nRows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>nColumns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pData</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point matrix structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nRows</td><td>number of rows in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">nColumns</td><td>number of columns in the matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pData</td><td>points to the matrix data array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
+
+<p>References <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, and <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>.</p>
+
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Inverse</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrc, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:ga542be7aabbf7a2297a4b62cf212910e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix inverse.  <a href="#ga542be7aabbf7a2297a4b62cf212910e3"></a><br/></td></tr>
+<tr class="separator:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaede2367c02df083cc915ddd5d8fae838"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64</a> (const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pSrc, <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pDst)</td></tr>
+<tr class="memdesc:gaede2367c02df083cc915ddd5d8fae838"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix inverse.  <a href="#gaede2367c02df083cc915ddd5d8fae838"></a><br/></td></tr>
+<tr class="separator:gaede2367c02df083cc915ddd5d8fae838"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the inverse of a matrix.</p>
+<p>The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero). The function checks that the input and output matrices are square and of the same size.</p>
+<p>Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.</p>
+<dl class="section user"><dt>Algorithm </dt><dd>The Gauss-Jordan method is used to find the inverse. The algorithm performs a sequence of elementary row-operations until it reduces the input matrix to an identity matrix. Applying the same sequence of elementary row-operations to an identity matrix yields the inverse matrix. If the input matrix is singular, then the algorithm terminates and returns error status <code>ARM_MATH_SINGULAR</code>. <div class="image">
+<img src="MatrixInverse.gif" alt="MatrixInverse.gif"/>
+<div class="caption">
+Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method</div></div>
+ </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga542be7aabbf7a2297a4b62cf212910e3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a14">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaede2367c02df083cc915ddd5d8fae838"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f64 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f64.html#ab0f0399aff3201880e2d8a447de9a7ee">arm_matrix_instance_f64::numCols</a>, <a class="el" href="structarm__matrix__instance__f64.html#a8b44d1e5003345047c4ead9e1593bf22">arm_matrix_instance_f64::numRows</a>, <a class="el" href="structarm__matrix__instance__f64.html#a5b2475f8ff1e4818955cdd18bc40a097">arm_matrix_instance_f64::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
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+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Matrix Multiplication</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga917bf0270310c1d3f0eda1fc7c0026a0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcB, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:ga917bf0270310c1d3f0eda1fc7c0026a0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix multiplication.  <a href="#ga917bf0270310c1d3f0eda1fc7c0026a0"></a><br/></td></tr>
+<tr class="separator:ga917bf0270310c1d3f0eda1fc7c0026a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga08f37d93a5bfef0c5000dc5e0a411f93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4.  <a href="#ga08f37d93a5bfef0c5000dc5e0a411f93"></a><br/></td></tr>
+<tr class="separator:ga08f37d93a5bfef0c5000dc5e0a411f93"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga2785e8c1b785348b0c439b56aaf585a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4.  <a href="#ga2785e8c1b785348b0c439b56aaf585a3"></a><br/></td></tr>
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+<tr class="memdesc:ga3657b99a9667945373e520dbac0f4516"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix multiplication.  <a href="#ga3657b99a9667945373e520dbac0f4516"></a><br/></td></tr>
+<tr class="separator:ga3657b99a9667945373e520dbac0f4516"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2ec612a8c2c4916477fb9bc1ab548a6e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:ga2ec612a8c2c4916477fb9bc1ab548a6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix multiplication.  <a href="#ga2ec612a8c2c4916477fb9bc1ab548a6e"></a><br/></td></tr>
+<tr class="separator:ga2ec612a8c2c4916477fb9bc1ab548a6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Multiplies two matrices.</p>
+<div class="image">
+<img src="MatrixMultiplication.gif" alt="MatrixMultiplication.gif"/>
+<div class="caption">
+Multiplication of two 3 x 3 matrices</div></div>
+<p>Matrix multiplication is only defined if the number of columns of the first matrix equals the number of rows of the second matrix. Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results in an <code>M x P</code> matrix. When matrix size checking is enabled, the functions check: (1) that the inner dimensions of <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga917bf0270310c1d3f0eda1fc7c0026a0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a17">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#a13">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga08f37d93a5bfef0c5000dc5e0a411f93"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pState</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the array for storing intermediate results </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The difference between the function <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516" title="Q15 matrix multiplication.">arm_mat_mult_q15()</a> and this fast variant is that the fast variant use a 32-bit rather than a 64-bit accumulator. The result of each 1.15 x 1.15 multiplication is truncated to 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 format. Finally, the accumulator is saturated and converted to a 1.15 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 16 bits of each multiplication result. In order to avoid overflows completely the input signals must be scaled down. Scale down one of the input matrices by log2(numColsA) bits to avoid overflows, as a total of numColsA additions are computed internally for each output element.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516" title="Q15 matrix multiplication.">arm_mat_mult_q15()</a></code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2785e8c1b785348b0c439b56aaf585a3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The difference between the function <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e" title="Q31 matrix multiplication.">arm_mat_mult_q31()</a> and this fast variant is that the fast variant use a 32-bit rather than a 64-bit accumulator. The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 format. Finally, the accumulator is saturated and converted to a 1.31 result.</dd></dl>
+<dl class="section user"><dt></dt><dd>The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. In order to avoid overflows completely the input signals must be scaled down. Scale down one of the input matrices by log2(numColsA) bits to avoid overflows, as a total of numColsA additions are computed internally for each output element.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e" title="Q31 matrix multiplication.">arm_mat_mult_q31()</a></code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3657b99a9667945373e520dbac0f4516"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pState&#160;</td>
+          <td class="paramname"><em>CMSIS_UNUSED</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pState</td><td>points to the array for storing intermediate results (Unused) </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The inputs to the multiplications are in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer to <code><a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93" title="Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4.">arm_mat_mult_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2ec612a8c2c4916477fb9bc1ab548a6e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_mult_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. There is no saturation on intermediate additions. Thus, if the accumulator overflows it wraps around and distorts the result. The input signals should be scaled down to avoid intermediate overflows. The input is thus scaled down by log2(numColsA) bits to avoid overflows, as a total of numColsA additions are performed internally. The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3" title="Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4.">arm_mat_mult_fast_q31()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    [ "arm_mat_mult_fast_q31", "group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3", null ],
+    [ "arm_mat_mult_q15", "group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516", null ],
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+];
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diff --git a/Documentation/DSP/html/group___matrix_scale.html b/Documentation/DSP/html/group___matrix_scale.html
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Scale</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga9cb4e385b18c9a0b9cbc940c1067ca12"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> scale, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:ga9cb4e385b18c9a0b9cbc940c1067ca12"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix scaling.  <a href="#ga9cb4e385b18c9a0b9cbc940c1067ca12"></a><br/></td></tr>
+<tr class="separator:ga9cb4e385b18c9a0b9cbc940c1067ca12"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7521769e2cf1c3d9c4656138cd2ae2ca"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15</a> (const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> scaleFract, int32_t shift, <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pDst)</td></tr>
+<tr class="memdesc:ga7521769e2cf1c3d9c4656138cd2ae2ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix scaling.  <a href="#ga7521769e2cf1c3d9c4656138cd2ae2ca"></a><br/></td></tr>
+<tr class="separator:ga7521769e2cf1c3d9c4656138cd2ae2ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga609743821ee81fa8c34c4bcdc1ed9744"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> scaleFract, int32_t shift, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:ga609743821ee81fa8c34c4bcdc1ed9744"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix scaling.  <a href="#ga609743821ee81fa8c34c4bcdc1ed9744"></a><br/></td></tr>
+<tr class="separator:ga609743821ee81fa8c34c4bcdc1ed9744"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the matrix by the scalar. For example: </p>
+<div class="image">
+<img src="MatrixScale.gif" alt="MatrixScale.gif"/>
+<div class="caption">
+Matrix Scaling of a 3 x 3 matrix</div></div>
+<p>The function checks to make sure that the input and output matrices are of the same size.</p>
+<p>In the fixed-point Q15 and Q31 functions, <code>scale</code> is represented by a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>. The shift allows the gain of the scaling operation to exceed 1.0. The overall scale factor applied to the fixed-point data is </p>
+<pre>        
+    scale = scaleFract * 2^shift.        
+</pre> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga9cb4e385b18c9a0b9cbc940c1067ca12"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_scale_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>scale</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scale</td><td>scale factor to be applied </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7521769e2cf1c3d9c4656138cd2ae2ca"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_scale_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>scaleFract</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>shift</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scaleFract</td><td>fractional portion of the scale factor </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>number of bits to shift the result by </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format. These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga609743821ee81fa8c34c4bcdc1ed9744"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_scale_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>scaleFract</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>shift</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scaleFract</td><td>fractional portion of the scale factor </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>number of bits to shift the result by </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format. These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Subtraction</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gac8b72fb70246ccfee3b372002345732c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrcB, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:gac8b72fb70246ccfee3b372002345732c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix subtraction.  <a href="#gac8b72fb70246ccfee3b372002345732c"></a><br/></td></tr>
+<tr class="separator:gac8b72fb70246ccfee3b372002345732c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf647776a425b7f9dd0aca3e11d81f02f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15</a> (const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pDst)</td></tr>
+<tr class="memdesc:gaf647776a425b7f9dd0aca3e11d81f02f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix subtraction.  <a href="#gaf647776a425b7f9dd0aca3e11d81f02f"></a><br/></td></tr>
+<tr class="separator:gaf647776a425b7f9dd0aca3e11d81f02f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga39f42e0e3b7f115fbb909d6ff4e1329d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcA, const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrcB, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:ga39f42e0e3b7f115fbb909d6ff4e1329d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix subtraction.  <a href="#ga39f42e0e3b7f115fbb909d6ff4e1329d"></a><br/></td></tr>
+<tr class="separator:ga39f42e0e3b7f115fbb909d6ff4e1329d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Subtract two matrices. </p>
+<div class="image">
+<img src="MatrixSubtraction.gif" alt="MatrixSubtraction.gif"/>
+<div class="caption">
+Subraction of two 3 x 3 matrices</div></div>
+<p>The functions check to make sure that <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same number of rows and columns. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gac8b72fb70246ccfee3b372002345732c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_sub_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf647776a425b7f9dd0aca3e11d81f02f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_sub_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga39f42e0e3b7f115fbb909d6ff4e1329d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_sub_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input matrix structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input matrix structure </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+var group___matrix_sub =
+[
+    [ "arm_mat_sub_f32", "group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c", null ],
+    [ "arm_mat_sub_q15", "group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f", null ],
+    [ "arm_mat_sub_q31", "group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d", null ]
+];
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diff --git a/Documentation/DSP/html/group___matrix_trans.html b/Documentation/DSP/html/group___matrix_trans.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Matrix Transpose</title>
+<title>CMSIS-DSP: Matrix Transpose</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
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+  </div>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___matrix_trans.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Matrix Transpose</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gad7dd9f108429da13d3864696ceeec789"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrc, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
+<tr class="memdesc:gad7dd9f108429da13d3864696ceeec789"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix transpose.  <a href="#gad7dd9f108429da13d3864696ceeec789"></a><br/></td></tr>
+<tr class="separator:gad7dd9f108429da13d3864696ceeec789"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4f4f821cc695fd0ef9061d702e08050a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15</a> (const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pSrc, <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *pDst)</td></tr>
+<tr class="memdesc:ga4f4f821cc695fd0ef9061d702e08050a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 matrix transpose.  <a href="#ga4f4f821cc695fd0ef9061d702e08050a"></a><br/></td></tr>
+<tr class="separator:ga4f4f821cc695fd0ef9061d702e08050a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga30a4d49489ac67ff98a46b9f58f73bf1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31</a> (const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pSrc, <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *pDst)</td></tr>
+<tr class="memdesc:ga30a4d49489ac67ff98a46b9f58f73bf1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 matrix transpose.  <a href="#ga30a4d49489ac67ff98a46b9f58f73bf1"></a><br/></td></tr>
+<tr class="separator:ga30a4d49489ac67ff98a46b9f58f73bf1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Tranposes a matrix. Transposing an <code>M x N</code> matrix flips it around the center diagonal and results in an <code>N x M</code> matrix. </p>
+<div class="image">
+<img src="MatrixTranspose.gif" alt="MatrixTranspose.gif"/>
+<div class="caption">
+Transpose of a 3 x 3 matrix</div></div>
+ <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gad7dd9f108429da13d3864696ceeec789"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_trans_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input matrix </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a12">arm_matrix_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga4f4f821cc695fd0ef9061d702e08050a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_trans_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to the input matrix </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">arm_matrix_instance_q15::numCols</a>, <a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">arm_matrix_instance_q15::numRows</a>, <a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">arm_matrix_instance_q15::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga30a4d49489ac67ff98a46b9f58f73bf1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_trans_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pSrc</td><td>points to the input matrix </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pDst</td><td>points to the output matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">arm_matrix_instance_q31::numCols</a>, <a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">arm_matrix_instance_q31::numRows</a>, <a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">arm_matrix_instance_q31::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+  </ul>
+</div>
+</body>
+</html>
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+    [ "arm_mat_trans_q15", "group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a", null ],
+    [ "arm_mat_trans_q31", "group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1", null ]
+];
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Maximum</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga5b89d1b04575aeec494f678695fb87d8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#ga5b89d1b04575aeec494f678695fb87d8">arm_max_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:ga5b89d1b04575aeec494f678695fb87d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum value of a floating-point vector.  <a href="#ga5b89d1b04575aeec494f678695fb87d8"></a><br/></td></tr>
+<tr class="separator:ga5b89d1b04575aeec494f678695fb87d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac132856c68f4bf2a056eaad5921c7880"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#gac132856c68f4bf2a056eaad5921c7880">arm_max_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:gac132856c68f4bf2a056eaad5921c7880"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum value of a Q15 vector.  <a href="#gac132856c68f4bf2a056eaad5921c7880"></a><br/></td></tr>
+<tr class="separator:gac132856c68f4bf2a056eaad5921c7880"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaff7cbd4e955382def06724cc4cc85795"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#gaff7cbd4e955382def06724cc4cc85795">arm_max_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:gaff7cbd4e955382def06724cc4cc85795"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum value of a Q31 vector.  <a href="#gaff7cbd4e955382def06724cc4cc85795"></a><br/></td></tr>
+<tr class="separator:gaff7cbd4e955382def06724cc4cc85795"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6afd64d381b5c232de59163ebfe71e35"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___max.html#ga6afd64d381b5c232de59163ebfe71e35">arm_max_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:ga6afd64d381b5c232de59163ebfe71e35"><td class="mdescLeft">&#160;</td><td class="mdescRight">Maximum value of a Q7 vector.  <a href="#ga6afd64d381b5c232de59163ebfe71e35"></a><br/></td></tr>
+<tr class="separator:ga6afd64d381b5c232de59163ebfe71e35"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the maximum value of an array of data. The function returns both the maximum value and its position within the array. There are separate functions for floating-point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga5b89d1b04575aeec494f678695fb87d8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_max_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>maximum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of maximum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a18">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_fft_bin_example_f32_8c-example.html#a14">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac132856c68f4bf2a056eaad5921c7880"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_max_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>maximum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of maximum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaff7cbd4e955382def06724cc4cc85795"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_max_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>maximum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of maximum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga6afd64d381b5c232de59163ebfe71e35"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_max_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>maximum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of maximum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/group___max.js b/Documentation/DSP/html/group___max.js
new file mode 100644
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+++ b/Documentation/DSP/html/group___max.js
@@ -0,0 +1,7 @@
+var group___max =
+[
+    [ "arm_max_f32", "group___max.html#ga5b89d1b04575aeec494f678695fb87d8", null ],
+    [ "arm_max_q15", "group___max.html#gac132856c68f4bf2a056eaad5921c7880", null ],
+    [ "arm_max_q31", "group___max.html#gaff7cbd4e955382def06724cc4cc85795", null ],
+    [ "arm_max_q7", "group___max.html#ga6afd64d381b5c232de59163ebfe71e35", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group___min.html b/Documentation/DSP/html/group___min.html
new file mode 100644
index 0000000..ff27f76
--- /dev/null
+++ b/Documentation/DSP/html/group___min.html
@@ -0,0 +1,344 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Minimum</title>
+<title>CMSIS-DSP: Minimum</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Minimum</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaf62b1673740fc516ea64daf777b7d74a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a">arm_min_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:gaf62b1673740fc516ea64daf777b7d74a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum value of a floating-point vector.  <a href="#gaf62b1673740fc516ea64daf777b7d74a"></a><br/></td></tr>
+<tr class="separator:gaf62b1673740fc516ea64daf777b7d74a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad065e37535ebb726750ac1545cb3fa6f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___min.html#gad065e37535ebb726750ac1545cb3fa6f">arm_min_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:gad065e37535ebb726750ac1545cb3fa6f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum value of a Q15 vector.  <a href="#gad065e37535ebb726750ac1545cb3fa6f"></a><br/></td></tr>
+<tr class="separator:gad065e37535ebb726750ac1545cb3fa6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab20faeceb5ff5d2d9dd628c2ecf41303"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303">arm_min_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:gab20faeceb5ff5d2d9dd628c2ecf41303"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum value of a Q31 vector.  <a href="#gab20faeceb5ff5d2d9dd628c2ecf41303"></a><br/></td></tr>
+<tr class="separator:gab20faeceb5ff5d2d9dd628c2ecf41303"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3631d38ac8d715fc14f6f1b343f4c4ed"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed">arm_min_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pResult, uint32_t *pIndex)</td></tr>
+<tr class="memdesc:ga3631d38ac8d715fc14f6f1b343f4c4ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Minimum value of a Q7 vector.  <a href="#ga3631d38ac8d715fc14f6f1b343f4c4ed"></a><br/></td></tr>
+<tr class="separator:ga3631d38ac8d715fc14f6f1b343f4c4ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the minimum value of an array of data. The function returns both the minimum value and its position within the array. There are separate functions for floating-point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaf62b1673740fc516ea64daf777b7d74a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_min_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>minimum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of minimum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a19">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a33">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad065e37535ebb726750ac1545cb3fa6f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_min_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>minimum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of minimum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab20faeceb5ff5d2d9dd628c2ecf41303"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_min_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>minimum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of minimum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga3631d38ac8d715fc14f6f1b343f4c4ed"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_min_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t *&#160;</td>
+          <td class="paramname"><em>pIndex</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>minimum value returned here </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pIndex</td><td>index of minimum value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  </ul>
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+</html>
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+    [ "arm_min_q31", "group___min.html#gab20faeceb5ff5d2d9dd628c2ecf41303", null ],
+    [ "arm_min_q7", "group___min.html#ga3631d38ac8d715fc14f6f1b343f4c4ed", null ]
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+  $(document).ready(initResizable);
+</script>
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+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">PID Motor Control</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae31536b19b82b93ed184fb1ab73cfcb3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S, int32_t resetStateFlag)</td></tr>
+<tr class="memdesc:gae31536b19b82b93ed184fb1ab73cfcb3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point PID Control.  <a href="#gae31536b19b82b93ed184fb1ab73cfcb3"></a><br/></td></tr>
+<tr class="separator:gae31536b19b82b93ed184fb1ab73cfcb3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2cb1e3d3ebb167348fdabec74653d5c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S, int32_t resetStateFlag)</td></tr>
+<tr class="memdesc:ga2cb1e3d3ebb167348fdabec74653d5c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 PID Control.  <a href="#ga2cb1e3d3ebb167348fdabec74653d5c3"></a><br/></td></tr>
+<tr class="separator:ga2cb1e3d3ebb167348fdabec74653d5c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad9d88485234fa9460b1ce9e64989ac86"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S, int32_t resetStateFlag)</td></tr>
+<tr class="memdesc:gad9d88485234fa9460b1ce9e64989ac86"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 PID Control.  <a href="#gad9d88485234fa9460b1ce9e64989ac86"></a><br/></td></tr>
+<tr class="separator:gad9d88485234fa9460b1ce9e64989ac86"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9ec860bcb6f8ca31205bf0f1b51ab723"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_pid_reset_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S)</td></tr>
+<tr class="memdesc:ga9ec860bcb6f8ca31205bf0f1b51ab723"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset function for the floating-point PID Control.  <a href="#ga9ec860bcb6f8ca31205bf0f1b51ab723"></a><br/></td></tr>
+<tr class="separator:ga9ec860bcb6f8ca31205bf0f1b51ab723"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga408566dacb4fa6e0458b2c75672e525f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_pid_reset_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S)</td></tr>
+<tr class="memdesc:ga408566dacb4fa6e0458b2c75672e525f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset function for the Q15 PID Control.  <a href="#ga408566dacb4fa6e0458b2c75672e525f"></a><br/></td></tr>
+<tr class="separator:ga408566dacb4fa6e0458b2c75672e525f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaeecbacd3fb37c608ec25474d3a0dffa9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_pid_reset_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S)</td></tr>
+<tr class="memdesc:gaeecbacd3fb37c608ec25474d3a0dffa9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset function for the Q31 PID Control.  <a href="#gaeecbacd3fb37c608ec25474d3a0dffa9"></a><br/></td></tr>
+<tr class="separator:gaeecbacd3fb37c608ec25474d3a0dffa9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac5c79ed46abf2d72b8cf41fa6c708bda"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32</a> (<a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> in)</td></tr>
+<tr class="memdesc:gac5c79ed46abf2d72b8cf41fa6c708bda"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the floating-point PID Control.  <a href="#gac5c79ed46abf2d72b8cf41fa6c708bda"></a><br/></td></tr>
+<tr class="separator:gac5c79ed46abf2d72b8cf41fa6c708bda"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5f6f941e7ae981728dd3a662f8f4ecd7"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31</a> (<a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> in)</td></tr>
+<tr class="memdesc:ga5f6f941e7ae981728dd3a662f8f4ecd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the Q31 PID Control.  <a href="#ga5f6f941e7ae981728dd3a662f8f4ecd7"></a><br/></td></tr>
+<tr class="separator:ga5f6f941e7ae981728dd3a662f8f4ecd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga084f646bbb20d55f225c3efafcf7fc1f"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15</a> (<a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> in)</td></tr>
+<tr class="memdesc:ga084f646bbb20d55f225c3efafcf7fc1f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Process function for the Q15 PID Control.  <a href="#ga084f646bbb20d55f225c3efafcf7fc1f"></a><br/></td></tr>
+<tr class="separator:ga084f646bbb20d55f225c3efafcf7fc1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>A Proportional Integral Derivative (PID) controller is a generic feedback control loop mechanism widely used in industrial control systems. A PID controller is the most commonly used type of feedback controller.</p>
+<p>This set of functions implements (PID) controllers for Q15, Q31, and floating-point data types. The functions operate on a single sample of data and each call to the function returns a single processed value. <code>S</code> points to an instance of the PID control data structure. <code>in</code> is the input sample value. The functions return the output value.</p>
+<dl class="section user"><dt>Algorithm:</dt><dd><pre>
+   y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   A0 = Kp + Ki + Kd
+   A1 = (-Kp ) - (2 * Kd )
+   A2 = Kd  </pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>Kp</code> is proportional constant, <code>Ki</code> is Integral constant and <code>Kd</code> is Derivative constant</dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="PID.gif" alt="PID.gif"/>
+<div class="caption">
+Proportional Integral Derivative Controller</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd>The PID controller calculates an "error" value as the difference between the measured output and the reference input. The controller attempts to minimize the error by adjusting the process control inputs. The proportional value determines the reaction to the current error, the integral value determines the reaction based on the sum of recent errors, and the derivative value determines the reaction based on the rate at which the error has been changing.</dd></dl>
+<dl class="section user"><dt>Instance Structure</dt><dd>The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. A separate instance structure must be defined for each PID Controller. There are separate instance structure declarations for each of the 3 supported data types.</dd></dl>
+<dl class="section user"><dt>Reset Functions</dt><dd>There is also an associated reset function for each data type which clears the state array.</dd></dl>
+<dl class="section user"><dt>Initialization Functions</dt><dd>There is also an associated initialization function for each data type. The initialization function performs the following operations:<ul>
+<li>Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.</li>
+<li>Zeros out the values in the state buffer.</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the fixed-point versions of the PID Controller functions. In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gac5c79ed46abf2d72b8cf41fa6c708bda"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>is an instance of the floating-point PID Control structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out processed output sample. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__f32.html#ad7b0bed64915d0a25a3409fa2dc45556">arm_pid_instance_f32::A0</a>, <a class="el" href="structarm__pid__instance__f32.html#a7def89571c50f7137a213326a396e560">arm_pid_instance_f32::A1</a>, <a class="el" href="structarm__pid__instance__f32.html#a155acf642ba2f521869f19d694cd7fa0">arm_pid_instance_f32::A2</a>, and <a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">arm_pid_instance_f32::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae31536b19b82b93ed184fb1ab73cfcb3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>resetStateFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the PID structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state &amp; 1 = reset the state. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
+ The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__f32.html#ad7b0bed64915d0a25a3409fa2dc45556">arm_pid_instance_f32::A0</a>, <a class="el" href="structarm__pid__instance__f32.html#a7def89571c50f7137a213326a396e560">arm_pid_instance_f32::A1</a>, <a class="el" href="structarm__pid__instance__f32.html#a155acf642ba2f521869f19d694cd7fa0">arm_pid_instance_f32::A2</a>, <a class="el" href="structarm__pid__instance__f32.html#ad5b68fbf84d16188ae4747ff91f6f088">arm_pid_instance_f32::Kd</a>, <a class="el" href="structarm__pid__instance__f32.html#ac0feffde05fe391eeab3bf78e953830a">arm_pid_instance_f32::Ki</a>, <a class="el" href="structarm__pid__instance__f32.html#aa9b9aa9e413c6cec376a9dddc9f01ebe">arm_pid_instance_f32::Kp</a>, and <a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">arm_pid_instance_f32::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2cb1e3d3ebb167348fdabec74653d5c3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>resetStateFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 PID structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state 1 = reset the state. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
+ The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__q15.html#ad77f3a2823c7f96de42c92a3fbf3246b">arm_pid_instance_q15::A0</a>, <a class="el" href="structarm__pid__instance__q15.html#a1b8412c517071962a9acfdc6778906ec">arm_pid_instance_q15::A1</a>, <a class="el" href="structarm__pid__instance__q15.html#af5d4b53091f19eff7536636b7cc43111">arm_pid_instance_q15::Kd</a>, <a class="el" href="structarm__pid__instance__q15.html#a0dcc19d5c8f7bc401acea9e8318cd777">arm_pid_instance_q15::Ki</a>, <a class="el" href="structarm__pid__instance__q15.html#ad228aae24a1b6d855c93a8b9bbc1c4f1">arm_pid_instance_q15::Kp</a>, and <a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">arm_pid_instance_q15::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad9d88485234fa9460b1ce9e64989ac86"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>resetStateFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 PID structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">resetStateFlag</td><td>flag to reset the state. 0 = no change in state 1 = reset the state. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>resetStateFlag</code> specifies whether to set state to zero or not. <br/>
+ The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> using the proportional gain( <code>Kp</code>), integral gain( <code>Ki</code>) and derivative gain( <code>Kd</code>) also sets the state variables to all zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__q31.html#aa5332635ce9c7078cdb4c1ecf442eadd">arm_pid_instance_q31::A0</a>, <a class="el" href="structarm__pid__instance__q31.html#a2f7492bd6fb92fae5e2de7fbbec39b0e">arm_pid_instance_q31::A1</a>, <a class="el" href="structarm__pid__instance__q31.html#a3e34537c53af4f9ad7bfffa4dff27c82">arm_pid_instance_q31::A2</a>, <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="structarm__pid__instance__q31.html#aab4ff371d14441df501f1169f71cbd17">arm_pid_instance_q31::Kd</a>, <a class="el" href="structarm__pid__instance__q31.html#aa861d69fd398f29aa0b4b455a823ed72">arm_pid_instance_q31::Ki</a>, <a class="el" href="structarm__pid__instance__q31.html#ac2410bf7f856d58dc1d773d4983cac8e">arm_pid_instance_q31::Kp</a>, and <a class="el" href="structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4">arm_pid_instance_q31::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga084f646bbb20d55f225c3efafcf7fc1f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the Q15 PID Control structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out processed output sample.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. Lastly, the accumulator is saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a1185d670d798aaf52eec13f0403f3407">__SIMD32_CONST</a>, <a class="el" href="structarm__pid__instance__q15.html#ad77f3a2823c7f96de42c92a3fbf3246b">arm_pid_instance_q15::A0</a>, <a class="el" href="structarm__pid__instance__q15.html#a1b8412c517071962a9acfdc6778906ec">arm_pid_instance_q15::A1</a>, and <a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">arm_pid_instance_q15::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5f6f941e7ae981728dd3a662f8f4ecd7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">S</td><td>points to an instance of the Q31 PID Control structure </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input sample to process </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>out processed output sample.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. Thus, if the accumulator result overflows it wraps around rather than clip. In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__q31.html#aa5332635ce9c7078cdb4c1ecf442eadd">arm_pid_instance_q31::A0</a>, <a class="el" href="structarm__pid__instance__q31.html#a2f7492bd6fb92fae5e2de7fbbec39b0e">arm_pid_instance_q31::A1</a>, <a class="el" href="structarm__pid__instance__q31.html#a3e34537c53af4f9ad7bfffa4dff27c82">arm_pid_instance_q31::A2</a>, and <a class="el" href="structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4">arm_pid_instance_q31::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9ec860bcb6f8ca31205bf0f1b51ab723"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_reset_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__f32.html">arm_pid_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd>The function resets the state buffer to zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">arm_pid_instance_f32::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga408566dacb4fa6e0458b2c75672e525f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_reset_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q15.html">arm_pid_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd>The function resets the state buffer to zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">arm_pid_instance_q15::state</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaeecbacd3fb37c608ec25474d3a0dffa9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_pid_reset_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>Instance pointer of PID control data structure. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl class="section user"><dt>Description: </dt><dd>The function resets the state buffer to zeros. </dd></dl>
+
+<p>References <a class="el" href="structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4">arm_pid_instance_q31::state</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<title>CMSIS-DSP: Partial Convolution</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Partial Convolution</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_filters.html">Filtering Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="memdesc:ga16d10f32072cd79fc5fb6e785df45f5e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of floating-point sequences.  <a href="#ga16d10f32072cd79fc5fb6e785df45f5e"></a><br/></td></tr>
+<tr class="separator:ga16d10f32072cd79fc5fb6e785df45f5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga3de9c4ddcc7886de25b70d875099a8d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga1e4d43385cb62262a78c6752fe1fafb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#ga1e4d43385cb62262a78c6752fe1fafb2"></a><br/></td></tr>
+<tr class="separator:ga1e4d43385cb62262a78c6752fe1fafb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga10c5294cda8c4985386f4e3944be7650"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650">arm_conv_partial_fast_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
+<tr class="memdesc:ga10c5294cda8c4985386f4e3944be7650"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.  <a href="#ga10c5294cda8c4985386f4e3944be7650"></a><br/></td></tr>
+<tr class="separator:ga10c5294cda8c4985386f4e3944be7650"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga834b23b4ade8682beeb55778399101f8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:ga834b23b4ade8682beeb55778399101f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q15 sequences.  <a href="#ga834b23b4ade8682beeb55778399101f8"></a><br/></td></tr>
+<tr class="separator:ga834b23b4ade8682beeb55778399101f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3707e16af1435b215840006a7ab0c98f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f">arm_conv_partial_opt_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch1, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pScratch2)</td></tr>
+<tr class="memdesc:ga3707e16af1435b215840006a7ab0c98f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q7 sequences.  <a href="#ga3707e16af1435b215840006a7ab0c98f"></a><br/></td></tr>
+<tr class="separator:ga3707e16af1435b215840006a7ab0c98f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga209a2a913a0c5e5679c5988da8f46b03"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03">arm_conv_partial_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
+<tr class="memdesc:ga209a2a913a0c5e5679c5988da8f46b03"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q15 sequences.  <a href="#ga209a2a913a0c5e5679c5988da8f46b03"></a><br/></td></tr>
+<tr class="separator:ga209a2a913a0c5e5679c5988da8f46b03"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga78e73a5f02d103168a09821fb461e77a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a">arm_conv_partial_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
+<tr class="memdesc:ga78e73a5f02d103168a09821fb461e77a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q31 sequences.  <a href="#ga78e73a5f02d103168a09821fb461e77a"></a><br/></td></tr>
+<tr class="separator:ga78e73a5f02d103168a09821fb461e77a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8567259fe18396dd972242c41741ebf4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4">arm_conv_partial_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="_g_c_c_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t firstIndex, uint32_t numPoints)</td></tr>
+<tr class="memdesc:ga8567259fe18396dd972242c41741ebf4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Partial convolution of Q7 sequences.  <a href="#ga8567259fe18396dd972242c41741ebf4"></a><br/></td></tr>
+<tr class="separator:ga8567259fe18396dd972242c41741ebf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated. Each function has two additional arguments. <code>firstIndex</code> specifies the starting index of the subset of output samples. <code>numPoints</code> is the number of output samples to compute. The function computes the output in the range <code>[firstIndex, ..., firstIndex+numPoints-1]</code>. The output array <code>pDst</code> contains <code>numPoints</code> values.</p>
+<p>The allowable range of output indices is [0 srcALen+srcBLen-2]. If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR. Otherwise the functions return ARM_MATH_SUCCESS. </p>
+<dl class="section note"><dt>Note</dt><dd>Refer <a class="el" href="group___conv.html#ga3f860dc98c6fc4cafc421e4a2aed3c89" title="Convolution of floating-point sequences.">arm_conv_f32()</a> for details on fixed point behavior.</dd></dl>
+<p><b>Fast Versions</b></p>
+<dl class="section user"><dt></dt><dd>Fast versions are supported for Q31 and Q15 of partial convolution. Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires the input signals should be scaled down to avoid intermediate overflows.</dd></dl>
+<p><b>Opt Versions</b></p>
+<dl class="section user"><dt></dt><dd>Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga16d10f32072cd79fc5fb6e785df45f5e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3de9c4ddcc7886de25b70d875099a8d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<p>See <code><a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03" title="Partial convolution of Q15 sequences.">arm_conv_partial_q15()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.</p>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1e4d43385cb62262a78c6752fe1fafb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<p>See <code><a class="el" href="group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03" title="Partial convolution of Q15 sequences.">arm_conv_partial_q15()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga10c5294cda8c4985386f4e3944be7650"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_fast_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<dl class="section user"><dt></dt><dd>See <code><a class="el" href="group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a" title="Partial convolution of Q31 sequences.">arm_conv_partial_q31()</a></code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga834b23b4ade8682beeb55778399101f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_opt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, state buffers should be aligned by 32-bit</dd></dl>
+<p>Refer to <code><a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2" title="Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_partial_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15()</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga3707e16af1435b215840006a7ab0c98f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_opt_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pScratch2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch1</td><td>points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pScratch2</td><td>points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<dl class="section user"><dt>Restrictions </dt><dd>If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="group___fill.html#ga76b21c32a3783a2b3334d930a646e5d8">arm_fill_q15()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga209a2a913a0c5e5679c5988da8f46b03"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<p>Refer to <code><a class="el" href="group___partial_conv.html#ga1e4d43385cb62262a78c6752fe1fafb2" title="Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_partial_fast_q15()</a></code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4.</p>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8" title="Partial convolution of Q15 sequences.">arm_conv_partial_opt_q15()</a></code> for a faster implementation of this function using scratch buffers. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga78e73a5f02d103168a09821fb461e77a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<p>See <code><a class="el" href="group___partial_conv.html#ga10c5294cda8c4985386f4e3944be7650" title="Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4.">arm_conv_partial_fast_q31()</a></code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8567259fe18396dd972242c41741ebf4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_conv_partial_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcALen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>srcBLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>firstIndex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numPoints</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcALen</td><td>length of the first input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input sequence. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">srcBLen</td><td>length of the second input sequence. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the location where the output result is written. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">firstIndex</td><td>is the first output sample to start with. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numPoints</td><td>is the number of output points to be computed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].</dd></dl>
+<dl class="section user"><dt></dt><dd>Refer the function <code><a class="el" href="group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f" title="Partial convolution of Q7 sequences.">arm_conv_partial_opt_q7()</a></code> for a faster implementation of this function. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#ace48ed566e2cd6a680f0681192e6af28">srcALen</a>, <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#aea71286f498978c5ed3775609b974fc8">srcBLen</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
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+</html>
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new file mode 100644
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+    [ "arm_conv_partial_opt_q7", "group___partial_conv.html#ga3707e16af1435b215840006a7ab0c98f", null ],
+    [ "arm_conv_partial_q15", "group___partial_conv.html#ga209a2a913a0c5e5679c5988da8f46b03", null ],
+    [ "arm_conv_partial_q31", "group___partial_conv.html#ga78e73a5f02d103168a09821fb461e77a", null ],
+    [ "arm_conv_partial_q7", "group___partial_conv.html#ga8567259fe18396dd972242c41741ebf4", null ]
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>Root mean square (RMS)</title>
+<title>CMSIS-DSP: Root mean square (RMS)</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Root mean square (RMS)</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga0e3ab1b57da32d45388d1fa90d7fd88c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga0e3ab1b57da32d45388d1fa90d7fd88c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Root Mean Square of the elements of a floating-point vector.  <a href="#ga0e3ab1b57da32d45388d1fa90d7fd88c"></a><br/></td></tr>
+<tr class="separator:ga0e3ab1b57da32d45388d1fa90d7fd88c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf5b836b72dda9e5dfbbd17c7906fd13f"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
+<tr class="memdesc:gaf5b836b72dda9e5dfbbd17c7906fd13f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Root Mean Square of the elements of a Q15 vector.  <a href="#gaf5b836b72dda9e5dfbbd17c7906fd13f"></a><br/></td></tr>
+<tr class="separator:gaf5b836b72dda9e5dfbbd17c7906fd13f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae33015fda23fc44e7ead5e5ed7e8d314"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:gae33015fda23fc44e7ead5e5ed7e8d314"><td class="mdescLeft">&#160;</td><td class="mdescRight">Root Mean Square of the elements of a Q31 vector.  <a href="#gae33015fda23fc44e7ead5e5ed7e8d314"></a><br/></td></tr>
+<tr class="separator:gae33015fda23fc44e7ead5e5ed7e8d314"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Calculates the Root Mean Sqaure of the elements in the input vector. The underlying algorithm is used:</p>
+<pre>    
+        Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));    
+</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga0e3ab1b57da32d45388d1fa90d7fd88c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rms_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>rms value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_sqrt_f32()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf5b836b72dda9e5dfbbd17c7906fd13f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rms_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>rms value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae33015fda23fc44e7ead5e5ed7e8d314"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rms_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>rms value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, and intermediate multiplication yields a 2.62 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a single guard bit. There is no saturation on intermediate additions. If the accumulator overflows, it wraps around and distorts the result. In order to avoid overflows completely, the input signal must be scaled down by log2(blockSize) bits, as a total of blockSize additions are performed internally. Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. </dd></dl>
+
+<p>References <a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<div class="title">Radix-8 Complex FFT Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt></dt><dd>Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT). Computational complexity of CFFT reduces drastically when compared to DFT. </dd></dl>
+<dl class="section user"><dt></dt><dd>This set of functions implements CFFT/CIFFT for floating-point data types. The functions operates on in-place buffer which uses same buffer for input and output. Complex input is stored in input buffer in an interleaved fashion.</dd></dl>
+<dl class="section user"><dt></dt><dd>The functions operate on blocks of input and output data and each call to the function processes <code>2*fftLen</code> samples through the transform. <code>pSrc</code> points to In-place arrays containing <code>2*fftLen</code> values. </dd></dl>
+<dl class="section user"><dt></dt><dd>The <code>pSrc</code> points to the array of in-place buffer of size <code>2*fftLen</code> and inputs and outputs are stored in an interleaved fashion as shown below. <pre> {real[0], imag[0], real[1], imag[1],..} </pre></dd></dl>
+<dl class="section user"><dt>Lengths supported by the transform: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Internally, the function utilize a Radix-8 decimation in frequency(DIF) algorithm and the size of the FFT supported are of the lengths [ 64, 512, 4096].</dd></dl>
+<dl class="section user"><dt>Algorithm: </dt><dd></dd></dl>
+<p><b>Complex Fast Fourier Transform:</b> </p>
+<dl class="section user"><dt></dt><dd>Input real and imaginary data: <pre>    
+x(n) = xa + j * ya    
+x(n+N/4 ) = xb + j * yb    
+x(n+N/2 ) = xc + j * yc    
+x(n+3N 4) = xd + j * yd    
+</pre> where N is length of FFT </dd></dl>
+<dl class="section user"><dt></dt><dd>Output real and imaginary data: <pre>    
+X(4r) = xa'+ j * ya'    
+X(4r+1) = xb'+ j * yb'    
+X(4r+2) = xc'+ j * yc'    
+X(4r+3) = xd'+ j * yd'    
+</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Twiddle factors for Radix-8 FFT: <pre>    
+Wn = co1 + j * (- si1)    
+W2n = co2 + j * (- si2)    
+W3n = co3 + j * (- si3)    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="CFFT.gif" alt="CFFT.gif"/>
+<div class="caption">
+Radix-8 Decimation-in Frequency Complex Fast Fourier Transform</div></div>
+</dd></dl>
+<dl class="section user"><dt></dt><dd>Output from Radix-8 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output. </dd></dl>
+<dl class="section user"><dt></dt><dd><b> Butterfly CFFT equations:</b> <pre>    
+xa' = xa + xb + xc + xd    
+ya' = ya + yb + yc + yd    
+xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)    
+yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)    
+xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)    
+yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)    
+xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)    
+yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)    
+</pre></dd></dl>
+<dl class="section user"><dt></dt><dd>where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT); <code>bitReverseFlag</code> Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order); <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the array of bit reversal table. <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table; <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table. <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT;</dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior </dt><dd>Care must be taken when using the fixed-point versions of the CFFT/CIFFT function. Refer to the function specific documentation below for usage guidelines. </dd></dl>
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+<a href="#func-members">Functions</a> &#124;
+<a href="#var-members">Variables</a>  </div>
+  <div class="headertitle">
+<div class="title">RealFFT</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_transforms.html">Transform Functions</a></div></div><!--header-->
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32</a> (const <a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point RFFT/RIFFT.  <a href="#ga3df1766d230532bc068fc4ed69d0fcdc"></a><br/></td></tr>
+<tr class="separator:ga3df1766d230532bc068fc4ed69d0fcdc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *p, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut, uint8_t <a class="el" href="_g_c_c_2arm__fft__bin__example__f32_8c.html#a379ccb99013d369a41b49619083c16ef">ifftFlag</a>)</td></tr>
+<tr class="memdesc:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the floating-point real FFT.  <a href="#ga180d8b764d59cbb85d37a2d5f7cd9799"></a><br/></td></tr>
+<tr class="separator:ga180d8b764d59cbb85d37a2d5f7cd9799"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac5fceb172551e7c11eb4d0e17ef15aa3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32</a> (<a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *S, uint16_t fftLen)</td></tr>
+<tr class="memdesc:gac5fceb172551e7c11eb4d0e17ef15aa3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the floating-point real FFT.  <a href="#gac5fceb172551e7c11eb4d0e17ef15aa3"></a><br/></td></tr>
+<tr class="separator:gac5fceb172551e7c11eb4d0e17ef15aa3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ga10717ee326bf50832ef1c25b85a23068"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga053450cc600a55410ba5b5605e96245d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q15 RFFT/RIFFT.  <a href="#ga053450cc600a55410ba5b5605e96245d"></a><br/></td></tr>
+<tr class="separator:ga053450cc600a55410ba5b5605e96245d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga5abde938abbe72e95c5bab080eb33c45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialization function for the Q31 RFFT/RIFFT.  <a href="#ga5abde938abbe72e95c5bab080eb33c45"></a><br/></td></tr>
+<tr class="separator:ga5abde938abbe72e95c5bab080eb33c45"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15</a> (const <a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *S, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst)</td></tr>
+<tr class="memdesc:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q15 RFFT/RIFFT.  <a href="#ga00e615f5db21736ad5b27fb6146f3fc5"></a><br/></td></tr>
+<tr class="separator:ga00e615f5db21736ad5b27fb6146f3fc5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31</a> (const <a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *S, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst)</td></tr>
+<tr class="memdesc:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Processing function for the Q31 RFFT/RIFFT.  <a href="#gabaeab5646aeea9844e6d42ca8c73fe3a"></a><br/></td></tr>
+<tr class="separator:gabaeab5646aeea9844e6d42ca8c73fe3a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:ga8b1ad947c470596674fa3364e16045c6"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga8b1ad947c470596674fa3364e16045c6">realCoefA</a> [8192]</td></tr>
+<tr class="separator:ga8b1ad947c470596674fa3364e16045c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac52f98b52a1f03bfac8b57a67ba07397"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gac52f98b52a1f03bfac8b57a67ba07397">realCoefB</a> [8192]</td></tr>
+<tr class="separator:gac52f98b52a1f03bfac8b57a67ba07397"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga11e84d0ee257a547f749b37dd0078d36"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga11e84d0ee257a547f749b37dd0078d36">realCoefAQ15</a> [8192]</td></tr>
+<tr class="separator:ga11e84d0ee257a547f749b37dd0078d36"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac871666f018b70938b2b98017628cb97"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gac871666f018b70938b2b98017628cb97">realCoefBQ15</a> [8192]</td></tr>
+<tr class="separator:gac871666f018b70938b2b98017628cb97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf1592a6cf0504675205074a43c3728a2"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#gaf1592a6cf0504675205074a43c3728a2">realCoefAQ31</a> [8192]</td></tr>
+<tr class="separator:gaf1592a6cf0504675205074a43c3728a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1eb5745728a61c3715755f5d69a4a960"><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___real_f_f_t.html#ga1eb5745728a61c3715755f5d69a4a960">realCoefBQ31</a> [8192]</td></tr>
+<tr class="separator:ga1eb5745728a61c3715755f5d69a4a960"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga3df1766d230532bc068fc4ed69d0fcdc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rfft_f32 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000013">Deprecated:</a></b></dt><dd>Do not use this function. It has been superceded by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the floating-point RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__bitreversal_8c.html#a3d4062fdfa6aaa3f51f41cab868e508b">arm_bitreversal_f32()</a>, <a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_radix4_butterfly_f32()</a>, <a class="el" href="arm__cfft__radix4__f32_8c.html#a2a78df6e4bbf080624f2b6349224ec93">arm_radix4_butterfly_inverse_f32()</a>, <a class="el" href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb">arm_split_rfft_f32()</a>, <a class="el" href="arm__rfft__f32_8c.html#a585bef78c103d150a116241a4feb6442">arm_split_rifft_f32()</a>, <a class="el" href="structarm__rfft__instance__f32.html#ac342f3248157cbbd2f04a3c8ec9fc9eb">arm_rfft_instance_f32::bitReverseFlagR</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#acc8cb18a8b901b8321ab9d86491e41a3">arm_cfft_radix4_instance_f32::bitRevFactor</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a">arm_cfft_radix4_instance_f32::fftLen</a>, <a class="el" href="structarm__rfft__instance__f32.html#a075076e07ebb8521d8e3b49a31db6c57">arm_rfft_instance_f32::fftLenBy2</a>, <a class="el" href="structarm__rfft__instance__f32.html#a5ee6d10a934ab4b666e0bb286c3d633f">arm_rfft_instance_f32::ifftFlagR</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd">arm_cfft_radix4_instance_f32::onebyfftLen</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a8da0d2ca69749fde8cbb95caeac6fe6a">arm_cfft_radix4_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__rfft__instance__f32.html#a9f47ba9f50c81e4445ae3827b981bc05">arm_rfft_instance_f32::pCfft</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#a14860c7544911702ca1fa0bf78204ef3">arm_cfft_radix4_instance_f32::pTwiddle</a>, <a class="el" href="structarm__rfft__instance__f32.html#a534cc7e6e9b3e3dd022fad611c762142">arm_rfft_instance_f32::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__f32.html#a23543ecfd027fea2477fe1eea23c3c4d">arm_rfft_instance_f32::pTwiddleBReal</a>, <a class="el" href="structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee">arm_cfft_radix4_instance_f32::twidCoefModifier</a>, and <a class="el" href="structarm__rfft__instance__f32.html#aede85350fb5ae6baa1b3e8bfa15b18d6">arm_rfft_instance_f32::twidCoefRModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga180d8b764d59cbb85d37a2d5f7cd9799"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rfft_fast_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>p</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint8_t&#160;</td>
+          <td class="paramname"><em>ifftFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function.">arm_rfft_fast_instance_f32</a> structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*p</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pOut</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlag</td><td>RFFT if flag is 0, RIFFT if flag is 1 </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32::fftLen</a>, <a class="el" href="structarm__rfft__fast__instance__f32.html#aef06ab665041ec36f5b25d464f0cab14">arm_rfft_fast_instance_f32::fftLenRFFT</a>, <a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">merge_rfft_f32()</a>, <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32::Sint</a>, and <a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">stage_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac5fceb172551e7c11eb4d0e17ef15aa3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_fast_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an <a class="el" href="structarm__rfft__fast__instance__f32.html" title="Instance structure for the floating-point RFFT/RIFFT function.">arm_rfft_fast_instance_f32</a> structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of the Real Sequence. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLen</code> Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. </dd></dl>
+<dl class="section user"><dt></dt><dd>This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="arm__common__tables_8c.html#ae69b72fb0be5dab9a0ea76e9b6995cb6">armBitRevIndexTable1024</a>, <a class="el" href="arm__common__tables_8h.html#af3b3659a55efaf414757d15e6c0ea9cc">ARMBITREVINDEXTABLE1024_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8c.html#a04711bbb245f2ac7202db666eaaf10f2">armBitRevIndexTable128</a>, <a class="el" href="arm__common__tables_8c.html#a5ab065857509fe5780d79fdcdce801cb">armBitRevIndexTable16</a>, <a class="el" href="arm__common__tables_8c.html#a68b7fcd07ae5433082e600dc7e7c7430">armBitRevIndexTable2048</a>, <a class="el" href="arm__common__tables_8h.html#a1137f42be79c5941e942b58e262b5225">ARMBITREVINDEXTABLE2048_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8c.html#a77b17c8e7539af315c57de27610d8407">armBitRevIndexTable256</a>, <a class="el" href="arm__common__tables_8c.html#afae094ea3df14c134012c4cb7b816637">armBitRevIndexTable32</a>, <a class="el" href="arm__common__tables_8c.html#a297a311183fb6d17d7ee0152ad1e43f3">armBitRevIndexTable512</a>, <a class="el" href="arm__common__tables_8c.html#aafcb5c9203dada88ed6d1bdcf16aaba4">armBitRevIndexTable64</a>, <a class="el" href="arm__common__tables_8h.html#abb73376f7efda869394aab2acef4291c">ARMBITREVINDEXTABLE_128_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8h.html#aa7dc18c3b4f8d76f5a29f7b182007934">ARMBITREVINDEXTABLE_256_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8h.html#ab21231782baf177ef3edad11aeba5a4f">ARMBITREVINDEXTABLE_512_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8h.html#a52289ebb691669410fbc40d1a8a1562a">ARMBITREVINDEXTABLE__16_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8h.html#a6e12fc7073f15899078a1b2d8f4afb4c">ARMBITREVINDEXTABLE__32_TABLE_LENGTH</a>, <a class="el" href="arm__common__tables_8h.html#a73e1987baf5282c699168bccf635930e">ARMBITREVINDEXTABLE__64_TABLE_LENGTH</a>, <a class="el" href="structarm__cfft__instance__f32.html#a3ba329ed153d182746376208e773d648">arm_cfft_instance_f32::bitRevLength</a>, <a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">arm_cfft_instance_f32::fftLen</a>, <a class="el" href="structarm__rfft__fast__instance__f32.html#aef06ab665041ec36f5b25d464f0cab14">arm_rfft_fast_instance_f32::fftLenRFFT</a>, <a class="el" href="structarm__cfft__instance__f32.html#a21ceaf59a1bb8440af57c28d2dd9bbab">arm_cfft_instance_f32::pBitRevTable</a>, <a class="el" href="structarm__cfft__instance__f32.html#a59cc6f753f1498716e1444ac054c06de">arm_cfft_instance_f32::pTwiddle</a>, <a class="el" href="structarm__rfft__fast__instance__f32.html#a9f30b04f163fabc1b24421d3c323d5fc">arm_rfft_fast_instance_f32::pTwiddleRFFT</a>, <a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">arm_rfft_fast_instance_f32::Sint</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga27c056eb130a4333d1cc5dd43ec738b1">twiddleCoef_1024</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga948433536dafaac1381decfccf4e2d9c">twiddleCoef_128</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gae75e243ec61706427314270f222e0c8e">twiddleCoef_16</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga23e7f30421a7905b21c2015429779633">twiddleCoef_2048</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gafe813758a03a798e972359a092315be4">twiddleCoef_256</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga78a72c85d88185de98050c930cfc76e3">twiddleCoef_32</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#gad8830f0c068ab2cc19f2f87d220fa148">twiddleCoef_512</a>, <a class="el" href="group___c_f_f_t___c_i_f_f_t.html#ga4f3c6d98c7e66393b4ef3ac63746e43d">twiddleCoef_64</a>, <a class="el" href="arm__common__tables_8c.html#aa7d8d3aa9898d557385748a13c959a4c">twiddleCoef_rfft_1024</a>, <a class="el" href="arm__common__tables_8c.html#af089dd2fe1a543d40a3325982bf45e7c">twiddleCoef_rfft_128</a>, <a class="el" href="arm__common__tables_8c.html#a749a5995ebd433a163f7adc474dabcaa">twiddleCoef_rfft_2048</a>, <a class="el" href="arm__common__tables_8c.html#a5c5c161dd469d8e6806664956dae31f9">twiddleCoef_rfft_256</a>, <a class="el" href="arm__common__tables_8c.html#a5992afe8574289cd71921651b80bd57d">twiddleCoef_rfft_32</a>, <a class="el" href="arm__common__tables_8c.html#a8013d68dd2476c86b77173bb98b87b29">twiddleCoef_rfft_4096</a>, <a class="el" href="arm__common__tables_8c.html#a94bd2fc98798f87003fef5cd0c04d1f5">twiddleCoef_rfft_512</a>, and <a class="el" href="arm__common__tables_8c.html#a2759d8789e1e6ae2ba7fb8d7f5e9c2ab">twiddleCoef_rfft_64</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga10717ee326bf50832ef1c25b85a23068"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td>
+          <td class="paramname"><em>S_CFFT</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLenReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ifftFlagR</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="deprecated"><dt><b><a class="el" href="deprecated.html#_deprecated000014">Deprecated:</a></b></dt><dd>Do not use this function. It has been superceded by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32</a> and will be removed in the future. </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the floating-point RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S_CFFT</td><td>points to an instance of the floating-point CFFT/CIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>This function also initializes Twiddle factor table. </dd></dl>
+
+<p>References <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__rfft__instance__f32.html#ac342f3248157cbbd2f04a3c8ec9fc9eb">arm_rfft_instance_f32::bitReverseFlagR</a>, <a class="el" href="structarm__rfft__instance__f32.html#a075076e07ebb8521d8e3b49a31db6c57">arm_rfft_instance_f32::fftLenBy2</a>, <a class="el" href="structarm__rfft__instance__f32.html#a4219d4669699e4efdcb150ed7a0d9a57">arm_rfft_instance_f32::fftLenReal</a>, <a class="el" href="structarm__rfft__instance__f32.html#a5ee6d10a934ab4b666e0bb286c3d633f">arm_rfft_instance_f32::ifftFlagR</a>, <a class="el" href="structarm__rfft__instance__f32.html#a9f47ba9f50c81e4445ae3827b981bc05">arm_rfft_instance_f32::pCfft</a>, <a class="el" href="structarm__rfft__instance__f32.html#a534cc7e6e9b3e3dd022fad611c762142">arm_rfft_instance_f32::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__f32.html#a23543ecfd027fea2477fe1eea23c3c4d">arm_rfft_instance_f32::pTwiddleBReal</a>, <a class="el" href="group___real_f_f_t.html#ga8b1ad947c470596674fa3364e16045c6">realCoefA</a>, <a class="el" href="group___real_f_f_t.html#gac52f98b52a1f03bfac8b57a67ba07397">realCoefB</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, and <a class="el" href="structarm__rfft__instance__f32.html#aede85350fb5ae6baa1b3e8bfa15b18d6">arm_rfft_instance_f32::twidCoefRModifier</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga053450cc600a55410ba5b5605e96245d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLenReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ifftFlagR</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q15 RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt></dt><dd>This function also initializes Twiddle factor table. </dd></dl>
+
+<p>References <a class="el" href="arm__const__structs_8c.html#ad343fb2e4cba826f092f9d72c4adc831">arm_cfft_sR_q15_len1024</a>, <a class="el" href="arm__const__structs_8c.html#a736a97efd37c6386dab8db730904f69b">arm_cfft_sR_q15_len128</a>, <a class="el" href="arm__const__structs_8c.html#a7ed661717c58b18f3e557daa72f2b91b">arm_cfft_sR_q15_len16</a>, <a class="el" href="arm__const__structs_8c.html#a92c94dc79c66ec66c95f793aedb964b9">arm_cfft_sR_q15_len2048</a>, <a class="el" href="arm__const__structs_8c.html#ad80be0db1ea40c66b079404c48d2dcf4">arm_cfft_sR_q15_len256</a>, <a class="el" href="arm__const__structs_8c.html#a8d5426a822a6017235b5e10119606a90">arm_cfft_sR_q15_len32</a>, <a class="el" href="arm__const__structs_8c.html#ab57c118edaa3260f7f16686152845b18">arm_cfft_sR_q15_len4096</a>, <a class="el" href="arm__const__structs_8c.html#a273b91ec86bb2bd8ac14e69252d487fb">arm_cfft_sR_q15_len512</a>, <a class="el" href="arm__const__structs_8c.html#a95c216e7dcfd59a8d40ef55ac223a749">arm_cfft_sR_q15_len64</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__rfft__instance__q15.html#a4c65cd40e0098ec2f5c0dc31488b9bc6">arm_rfft_instance_q15::bitReverseFlagR</a>, <a class="el" href="structarm__rfft__instance__q15.html#aac5cf9e825917cbb14f439e56bb86ab3">arm_rfft_instance_q15::fftLenReal</a>, <a class="el" href="structarm__rfft__instance__q15.html#a8051ffe268c147e431e1bea7bb4c4258">arm_rfft_instance_q15::ifftFlagR</a>, <a class="el" href="structarm__rfft__instance__q15.html#a4329c15b056444746d37ff082a24d31a">arm_rfft_instance_q15::pCfft</a>, <a class="el" href="structarm__rfft__instance__q15.html#affbf2de522ac029432d98e8373c0ec53">arm_rfft_instance_q15::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__q15.html#a937d815022adc557b435ba8c6cd58b0d">arm_rfft_instance_q15::pTwiddleBReal</a>, <a class="el" href="group___real_f_f_t.html#ga11e84d0ee257a547f749b37dd0078d36">realCoefAQ15</a>, <a class="el" href="group___real_f_f_t.html#gac871666f018b70938b2b98017628cb97">realCoefBQ15</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, and <a class="el" href="structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3">arm_rfft_instance_q15::twidCoefRModifier</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5abde938abbe72e95c5bab080eb33c45"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_rfft_init_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLenReal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>ifftFlagR</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>bitReverseFlag</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">*S</td><td>points to an instance of the Q31 RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLenReal</td><td>length of the FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ifftFlagR</td><td>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">bitReverseFlag</td><td>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. </dd></dl>
+<dl class="section user"><dt></dt><dd>The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. </dd></dl>
+<dl class="section user"><dt>7</dt><dd>This function also initializes Twiddle factor table. </dd></dl>
+
+<p>References <a class="el" href="arm__const__structs_8c.html#ada9813a027999f3cff066c9f7b5df51b">arm_cfft_sR_q31_len1024</a>, <a class="el" href="arm__const__structs_8c.html#a9a2fcdb54300f75ef1fafe02954e9a61">arm_cfft_sR_q31_len128</a>, <a class="el" href="arm__const__structs_8c.html#a1336431c4d2a88d32c42308cfe2defa1">arm_cfft_sR_q31_len16</a>, <a class="el" href="arm__const__structs_8c.html#a420622d75b277070784083ddd44b95fb">arm_cfft_sR_q31_len2048</a>, <a class="el" href="arm__const__structs_8c.html#a3f2de67938bd228918e40f60f18dd6b5">arm_cfft_sR_q31_len256</a>, <a class="el" href="arm__const__structs_8c.html#a4c083c013ef17920cf8f28dc6f139a39">arm_cfft_sR_q31_len32</a>, <a class="el" href="arm__const__structs_8c.html#abfc9595f40a1c7aaba85e1328d824b1c">arm_cfft_sR_q31_len4096</a>, <a class="el" href="arm__const__structs_8c.html#aa337272cf78aaf6075e7e19d0a097d6f">arm_cfft_sR_q31_len512</a>, <a class="el" href="arm__const__structs_8c.html#ad11668a5662334e0bc6a2811c9cb1047">arm_cfft_sR_q31_len64</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__rfft__instance__q31.html#a3cb90cdc928a88b0203917dcb3dc1b71">arm_rfft_instance_q31::bitReverseFlagR</a>, <a class="el" href="structarm__rfft__instance__q31.html#af777b0cadd5abaf064323692c2e6693b">arm_rfft_instance_q31::fftLenReal</a>, <a class="el" href="structarm__rfft__instance__q31.html#af5c2615e6cde15524df38fa57ea32d94">arm_rfft_instance_q31::ifftFlagR</a>, <a class="el" href="structarm__rfft__instance__q31.html#a8fe10d425b59e096c23aa4bb5caa1974">arm_rfft_instance_q31::pCfft</a>, <a class="el" href="structarm__rfft__instance__q31.html#a2a0c944e66bab92fcbe19d1c29153250">arm_rfft_instance_q31::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__q31.html#ae5070be4c2e0327e618f5e1f4c5b9d80">arm_rfft_instance_q31::pTwiddleBReal</a>, <a class="el" href="group___real_f_f_t.html#gaf1592a6cf0504675205074a43c3728a2">realCoefAQ31</a>, <a class="el" href="group___real_f_f_t.html#ga1eb5745728a61c3715755f5d69a4a960">realCoefBQ31</a>, <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>, and <a class="el" href="structarm__rfft__instance__q31.html#a6fc90252b579f7c29e01bd279334fc43">arm_rfft_instance_q31::twidCoefRModifier</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga00e615f5db21736ad5b27fb6146f3fc5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rfft_q15 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q15 RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Input an output formats: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different RFFT sizes. The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RFFTQ15.gif" alt="RFFTQ15.gif"/>
+<div class="caption">
+Input and Output Formats for Q15 RFFT</div></div>
+ </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RIFFTQ15.gif" alt="RIFFTQ15.gif"/>
+<div class="caption">
+Input and Output Formats for Q15 RIFFT</div></div>
+ </dd></dl>
+
+<p>References <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>, <a class="el" href="arm__rfft__q15_8c.html#a7c2a21793586f9a69c42140665550e09">arm_split_rfft_q15()</a>, <a class="el" href="arm__rfft__q15_8c.html#aa72a531dd15a53570dddaf01b62158f4">arm_split_rifft_q15()</a>, <a class="el" href="structarm__rfft__instance__q15.html#a4c65cd40e0098ec2f5c0dc31488b9bc6">arm_rfft_instance_q15::bitReverseFlagR</a>, <a class="el" href="structarm__rfft__instance__q15.html#aac5cf9e825917cbb14f439e56bb86ab3">arm_rfft_instance_q15::fftLenReal</a>, <a class="el" href="structarm__rfft__instance__q15.html#a8051ffe268c147e431e1bea7bb4c4258">arm_rfft_instance_q15::ifftFlagR</a>, <a class="el" href="structarm__rfft__instance__q15.html#a4329c15b056444746d37ff082a24d31a">arm_rfft_instance_q15::pCfft</a>, <a class="el" href="structarm__rfft__instance__q15.html#affbf2de522ac029432d98e8373c0ec53">arm_rfft_instance_q15::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__q15.html#a937d815022adc557b435ba8c6cd58b0d">arm_rfft_instance_q15::pTwiddleBReal</a>, and <a class="el" href="structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3">arm_rfft_instance_q15::twidCoefRModifier</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabaeab5646aeea9844e6d42ca8c73fe3a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_rfft_q31 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*S</td><td>points to an instance of the Q31 RFFT/RIFFT structure. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Input an output formats: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. Hence the output format is different for different RFFT sizes. The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: </dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RFFTQ31.gif" alt="RFFTQ31.gif"/>
+<div class="caption">
+Input and Output Formats for Q31 RFFT</div></div>
+</dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="RIFFTQ31.gif" alt="RIFFTQ31.gif"/>
+<div class="caption">
+Input and Output Formats for Q31 RIFFT</div></div>
+ </dd></dl>
+
+<p>References <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>, <a class="el" href="arm__rfft__q31_8c.html#a520e1c358d44fcd2724cb19d46eb5dfa">arm_split_rfft_q31()</a>, <a class="el" href="arm__rfft__q31_8c.html#acc62dd39a59091c4d6a80d4e55adeb13">arm_split_rifft_q31()</a>, <a class="el" href="structarm__rfft__instance__q31.html#a3cb90cdc928a88b0203917dcb3dc1b71">arm_rfft_instance_q31::bitReverseFlagR</a>, <a class="el" href="structarm__rfft__instance__q31.html#af777b0cadd5abaf064323692c2e6693b">arm_rfft_instance_q31::fftLenReal</a>, <a class="el" href="structarm__rfft__instance__q31.html#af5c2615e6cde15524df38fa57ea32d94">arm_rfft_instance_q31::ifftFlagR</a>, <a class="el" href="structarm__rfft__instance__q31.html#a8fe10d425b59e096c23aa4bb5caa1974">arm_rfft_instance_q31::pCfft</a>, <a class="el" href="structarm__rfft__instance__q31.html#a2a0c944e66bab92fcbe19d1c29153250">arm_rfft_instance_q31::pTwiddleAReal</a>, <a class="el" href="structarm__rfft__instance__q31.html#ae5070be4c2e0327e618f5e1f4c5b9d80">arm_rfft_instance_q31::pTwiddleBReal</a>, and <a class="el" href="structarm__rfft__instance__q31.html#a6fc90252b579f7c29e01bd279334fc43">arm_rfft_instance_q31::twidCoefRModifier</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ga8b1ad947c470596674fa3364e16045c6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> realCoefA[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation of realCoefA array: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+ {    
+   pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+   pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+ } </pre> </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga11e84d0ee257a547f749b37dd0078d36"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> realCoefAQ15[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation fixed-point realCoefAQ15 array in Q15 format: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+ {    
+   pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+   pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+ } </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert to fixed point Q15 format round(pATable[i] * pow(2, 15)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf1592a6cf0504675205074a43c3728a2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> realCoefAQ31[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation fixed-point realCoefAQ31 array in Q31 format: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+{    
+   pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
+   pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+}</pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert to fixed point Q31 format round(pATable[i] * pow(2, 31)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac52f98b52a1f03bfac8b57a67ba07397"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> realCoefB[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation of realCoefB array: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+{    
+   pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+   pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+ } </pre> </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac871666f018b70938b2b98017628cb97"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> <a class="el" href="arm__math_8h.html#a280a402ab28c399fcc4168f2ed631acb">ALIGN4</a> realCoefBQ15[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation of real_CoefB array: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+ {    
+   pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+   pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+ } </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert to fixed point Q15 format round(pBTable[i] * pow(2, 15)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1eb5745728a61c3715755f5d69a4a960"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> realCoefBQ31[8192]</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="section user"><dt></dt><dd>Generation of realCoefBQ31 array: </dd></dl>
+<dl class="section user"><dt></dt><dd>n = 4096 <pre>for (i = 0; i &lt; n; i++)    
+{    
+   pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
+   pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
+} </pre> </dd></dl>
+<dl class="section user"><dt></dt><dd>Convert to fixed point Q31 format round(pBTable[i] * pow(2, 31)) </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/group___real_f_f_t.js b/Documentation/DSP/html/group___real_f_f_t.js
new file mode 100644
index 0000000..7f2aa94
--- /dev/null
+++ b/Documentation/DSP/html/group___real_f_f_t.js
@@ -0,0 +1,17 @@
+var group___real_f_f_t =
+[
+    [ "arm_rfft_f32", "group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc", null ],
+    [ "arm_rfft_fast_f32", "group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799", null ],
+    [ "arm_rfft_fast_init_f32", "group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3", null ],
+    [ "arm_rfft_init_f32", "group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068", null ],
+    [ "arm_rfft_init_q15", "group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d", null ],
+    [ "arm_rfft_init_q31", "group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45", null ],
+    [ "arm_rfft_q15", "group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5", null ],
+    [ "arm_rfft_q31", "group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a", null ],
+    [ "realCoefA", "group___real_f_f_t.html#ga8b1ad947c470596674fa3364e16045c6", null ],
+    [ "realCoefAQ15", "group___real_f_f_t.html#ga11e84d0ee257a547f749b37dd0078d36", null ],
+    [ "realCoefAQ31", "group___real_f_f_t.html#gaf1592a6cf0504675205074a43c3728a2", null ],
+    [ "realCoefB", "group___real_f_f_t.html#gac52f98b52a1f03bfac8b57a67ba07397", null ],
+    [ "realCoefBQ15", "group___real_f_f_t.html#gac871666f018b70938b2b98017628cb97", null ],
+    [ "realCoefBQ31", "group___real_f_f_t.html#ga1eb5745728a61c3715755f5d69a4a960", null ]
+];
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diff --git a/Documentation/DSP/html/group___s_q_r_t.html b/Documentation/DSP/html/group___s_q_r_t.html
new file mode 100644
index 0000000..14eb154
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@@ -0,0 +1,290 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Square Root</title>
+<title>CMSIS-DSP: Square Root</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___s_q_r_t.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Square Root</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_fast_math.html">Fast Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga5abe5ca724f3e15849662b03752c1238"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> in, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pOut)</td></tr>
+<tr class="memdesc:ga5abe5ca724f3e15849662b03752c1238"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 square root function.  <a href="#ga5abe5ca724f3e15849662b03752c1238"></a><br/></td></tr>
+<tr class="separator:ga5abe5ca724f3e15849662b03752c1238"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga119e25831e141d734d7ef10636670058"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> in, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pOut)</td></tr>
+<tr class="memdesc:ga119e25831e141d734d7ef10636670058"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 square root function.  <a href="#ga119e25831e141d734d7ef10636670058"></a><br/></td></tr>
+<tr class="separator:ga119e25831e141d734d7ef10636670058"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga56a40d1cf842b0b45267df6761975da0"><td class="memItemLeft" align="right" valign="top">static __INLINE <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_sqrt_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> in, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pOut)</td></tr>
+<tr class="memdesc:ga56a40d1cf842b0b45267df6761975da0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point square root function.  <a href="#ga56a40d1cf842b0b45267df6761975da0"></a><br/></td></tr>
+<tr class="separator:ga56a40d1cf842b0b45267df6761975da0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the square root of a number. There are separate functions for Q15, Q31, and floating-point data types. The square root function is computed using the Newton-Raphson algorithm. This is an iterative algorithm of the form: </p>
+<pre>
+     x1 = x0 - f(x0)/f'(x0)
+</pre><p> where <code>x1</code> is the current estimate, <code>x0</code> is the previous estimate, and <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>. For the square root function, the algorithm reduces to: </p>
+<pre>
+    x0 = in/2                         [initial guess]
+    x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+</pre> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga56a40d1cf842b0b45267df6761975da0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if <code>in</code> is negative value and returns zero output for negative values. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
+
+<p>Referenced by <a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213">arm_cmplx_mag_f32()</a>, <a class="el" href="group___r_m_s.html#ga0e3ab1b57da32d45388d1fa90d7fd88c">arm_rms_f32()</a>, and <a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga5abe5ca724f3e15849662b03752c1238"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>square root of input value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if the input value is positive and ARM_MATH_ARGUMENT_ERROR if the input is negative. For negative inputs, the function returns *pOut = 0.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if <code>in</code> is negative value and returns zero output for negative values. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
+
+<p>Referenced by <a class="el" href="group__cmplx__mag.html#ga0a4a8f77a6a51d9b3f3b9d729f85b7a4">arm_cmplx_mag_q15()</a>, <a class="el" href="group___r_m_s.html#gaf5b836b72dda9e5dfbbd17c7906fd13f">arm_rms_q15()</a>, and <a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga119e25831e141d734d7ef10636670058"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_sqrt_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>in</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pOut</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pOut</td><td>square root of input value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if the input value is positive and ARM_MATH_ARGUMENT_ERROR if the input is negative. For negative inputs, the function returns *pOut = 0.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">in</td><td>input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pOut</td><td>square root of input value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if <code>in</code> is negative value and returns zero output for negative values. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a74897e18d4b8f62b12a7d8a01dd2bb35">ARM_MATH_ARGUMENT_ERROR</a>, and <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>.</p>
+
+<p>Referenced by <a class="el" href="group__cmplx__mag.html#ga14f82f9230e9d96d5b9774e2fefcb7be">arm_cmplx_mag_q31()</a>, <a class="el" href="group___r_m_s.html#gae33015fda23fc44e7ead5e5ed7e8d314">arm_rms_q31()</a>, and <a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Standard deviation</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_t_d.html#ga4969b5b5f3d001377bc401a3ee99dfc2">arm_std_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a floating-point vector.  <a href="#ga4969b5b5f3d001377bc401a3ee99dfc2"></a><br/></td></tr>
+<tr class="separator:ga4969b5b5f3d001377bc401a3ee99dfc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_t_d.html#gaf9d27afa9928ff28a63cd98ea9218a72">arm_std_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
+<tr class="memdesc:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a Q15 vector.  <a href="#gaf9d27afa9928ff28a63cd98ea9218a72"></a><br/></td></tr>
+<tr class="separator:gaf9d27afa9928ff28a63cd98ea9218a72"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga39495e74f96116178be085c9dc7742f5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___s_t_d.html#ga39495e74f96116178be085c9dc7742f5">arm_std_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga39495e74f96116178be085c9dc7742f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Standard deviation of the elements of a Q31 vector.  <a href="#ga39495e74f96116178be085c9dc7742f5"></a><br/></td></tr>
+<tr class="separator:ga39495e74f96116178be085c9dc7742f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Calculates the standard deviation of the elements in the input vector. The underlying algorithm is used:</p>
+<pre>    
+        Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1))</pre><pre>        where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]</pre><pre>                        sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
+</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga4969b5b5f3d001377bc401a3ee99dfc2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_std_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a21">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_sqrt_f32()</a>, <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a3bd39c4335d84be071cc1eaa9b0a8642">var</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf9d27afa9928ff28a63cd98ea9218a72"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_std_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, <a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga39495e74f96116178be085c9dc7742f5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_std_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>standard deviation value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, which is then downshifted by 8 bits which yields 1.23, and intermediate multiplication yields a 2.46 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a 16 guard bits. There is no saturation on intermediate additions. If the accumulator overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. After division, internal variables should be Q18.46 Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. </dd></dl>
+
+<p>References <a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31()</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
+</body>
+</html>
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+<div class="title">Signal Convergence Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the ability of an adaptive filter to "learn" the transfer function of a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse Response (FIR) Filter, and Basic Math Functions.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The figure below illustrates the signal flow in this example. Uniformly distributed white noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the reference input of the adaptive filter (normalized LMS filter). The white noise is input to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter. The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and (2) the error signal which is the difference between the adaptive filter and the reference output of the FIR filter. Over time as the adaptive filter learns the transfer function of the FIR filter, the first output approaches the reference output of the FIR filter, and the error signal approaches zero. </dd></dl>
+<dl class="section user"><dt></dt><dd>The adaptive filter converges properly even if the input signal has a large dynamic range (i.e., varies from small to large values). The coefficients of the adaptive filter are initially zero, and then converge over 1536 samples. The internal function <a class="el" href="arm__signal__converge__example__f32_8c.html#a8f521e839d4fad24a4f12a18dfeae5d4">test_signal_converge()</a> implements the stopping condition. The function checks if all of the values of the error signal have a magnitude below a threshold DELTA.</dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="SignalFlow.gif" alt="SignalFlow.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32</code> points to the input data </li>
+<li><code>firStateF32</code> points to FIR state buffer </li>
+<li><code>lmsStateF32</code> points to Normalised Least mean square FIR filter state buffer </li>
+<li><code>FIRCoeff_f32</code> points to coefficient buffer </li>
+<li><code>lmsNormCoeff_f32</code> points to Normalised Least mean square FIR filter coefficient buffer </li>
+<li><code>wire1</code>, wir2, wire3 temporary buffers </li>
+<li><code>errOutput</code>, err_signal temporary error buffers</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670" title="Initialization function for floating-point normalized LMS filter.">arm_lms_norm_init_f32()</a></li>
+<li><a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db" title="Initialization function for the floating-point FIR filter.">arm_fir_init_f32()</a></li>
+<li><a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a" title="Processing function for the floating-point FIR filter.">arm_fir_f32()</a></li>
+<li><a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300" title="Processing function for floating-point normalized LMS filter.">arm_lms_norm_f32()</a></li>
+<li><a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123" title="Multiplies a floating-point vector by a scalar.">arm_scale_f32()</a></li>
+<li><a class="el" href="group___basic_abs.html#ga421b6275f9d35f50286c0ff3beceff02" title="Floating-point vector absolute value.">arm_abs_f32()</a></li>
+<li><a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826" title="Floating-point vector subtraction.">arm_sub_f32()</a></li>
+<li><a class="el" href="group___min.html#gaf62b1673740fc516ea64daf777b7d74a" title="Minimum value of a floating-point vector.">arm_min_f32()</a></li>
+<li><a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_signal_converge_example_f32_8c-example.html">arm_signal_converge_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
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diff --git a/Documentation/DSP/html/group___sin_cos.html b/Documentation/DSP/html/group___sin_cos.html
new file mode 100644
index 0000000..fba5c91
--- /dev/null
+++ b/Documentation/DSP/html/group___sin_cos.html
@@ -0,0 +1,240 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Sine Cosine</title>
+<title>CMSIS-DSP: Sine Cosine</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Sine Cosine</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020">arm_sin_cos_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> theta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCosVal)</td></tr>
+<tr class="memdesc:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point sin_cos function.  <a href="#ga4420d45c37d58c310ef9ae1b5fe58020"></a><br/></td></tr>
+<tr class="separator:ga4420d45c37d58c310ef9ae1b5fe58020"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504">arm_sin_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> theta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pCosVal)</td></tr>
+<tr class="memdesc:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 sin_cos function.  <a href="#gae9e4ddebff9d4eb5d0a093e28e0bc504"></a><br/></td></tr>
+<tr class="separator:gae9e4ddebff9d4eb5d0a093e28e0bc504"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the trigonometric sine and cosine values using a combination of table lookup and linear interpolation. There are separate functions for Q31 and floating-point data types. The input to the floating-point version is in degrees while the fixed-point Q31 have a scaled input with the range [-1 0.9999] mapping to [-180 +180] degrees.</p>
+<p>The floating point function also allows values that are out of the usual range. When this happens, the function will take extra time to adjust the input value to the range of [-180 180].</p>
+<p>The implementation is based on table lookup using 360 values together with linear interpolation. The steps used are:</p>
+<ol type="1">
+<li>Calculation of the nearest integer table index.</li>
+<li>Compute the fractional portion (fract) of the input.</li>
+<li>Fetch the value corresponding to <code>index</code> from sine table to <code>y0</code> and also value from <code>index+1</code> to <code>y1</code>.</li>
+<li>Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.</li>
+<li>Fetch the value corresponding to <code>index</code> from cosine table to <code>y0</code> and also value from <code>index+1</code> to <code>y1</code>.</li>
+<li>Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>. </li>
+</ol>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga4420d45c37d58c310ef9ae1b5fe58020"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sin_cos_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>input value in degrees </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pSinVal</td><td>points to the processed sine output. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pCosVal</td><td>points to the processed cos output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>, and <a class="el" href="arm__common__tables_8c.html#a1dec82d596780f1a66ef4f76f137c1d9">sinTable_f32</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae9e4ddebff9d4eb5d0a093e28e0bc504"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_sin_cos_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pCosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>scaled input value in degrees </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pSinVal</td><td>points to the processed sine output. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pCosVal</td><td>points to the processed cosine output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p>The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179]. </p>
+
+<p>References <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>, <a class="el" href="arm__math_8h.html#aaff6d2358c4ada8de838a279254ab550">CONTROLLER_Q31_SHIFT</a>, and <a class="el" href="arm__common__tables_8c.html#a8bfccee9e1c0042cf4a765f4b19d097d">sinTable_q31</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
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+</html>
diff --git a/Documentation/DSP/html/group___sin_cos.js b/Documentation/DSP/html/group___sin_cos.js
new file mode 100644
index 0000000..c2af45c
--- /dev/null
+++ b/Documentation/DSP/html/group___sin_cos.js
@@ -0,0 +1,5 @@
+var group___sin_cos =
+[
+    [ "arm_sin_cos_f32", "group___sin_cos.html#ga4420d45c37d58c310ef9ae1b5fe58020", null ],
+    [ "arm_sin_cos_q31", "group___sin_cos.html#gae9e4ddebff9d4eb5d0a093e28e0bc504", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group___sin_cos_example.html b/Documentation/DSP/html/group___sin_cos_example.html
new file mode 100644
index 0000000..2bc6c53
--- /dev/null
+++ b/Documentation/DSP/html/group___sin_cos_example.html
@@ -0,0 +1,152 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>SineCosine Example</title>
+<title>CMSIS-DSP: SineCosine Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">SineCosine Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector Multiplication, and Vector Addition functions.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Mathematically, the Pythagorean trignometric identity is defined by the following equation: <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre> where <code>x</code> is the angle in radians.</dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="sinCos.gif" alt="sinCos.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32</code> array of input angle in radians </li>
+<li><code>testOutput</code> stores sum of the squares of sine and cosine values of input angle</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8" title="Fast approximation to the trigonometric cosine function for floating-point data.">arm_cos_f32()</a></li>
+<li><a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541" title="Fast approximation to the trigonometric sine function for floating-point data.">arm_sin_f32()</a></li>
+<li><a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32()</a></li>
+<li><a class="el" href="group___basic_add.html#ga6a904a547413b10565dd1d251c6bafbd" title="Floating-point vector addition.">arm_add_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_sin_cos_example_f32_8c-example.html">arm_sin_cos_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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diff --git a/Documentation/DSP/html/group___variance_example.html b/Documentation/DSP/html/group___variance_example.html
new file mode 100644
index 0000000..f10bf98
--- /dev/null
+++ b/Documentation/DSP/html/group___variance_example.html
@@ -0,0 +1,157 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Variance Example</title>
+<title>CMSIS-DSP: Variance Example</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+</script>
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+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
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+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Variance Example</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_examples.html">Examples</a></div></div><!--header-->
+<div class="contents">
+<dl class="section user"><dt>Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>Demonstrates the use of Basic Math and Support Functions to calculate the variance of an input sequence with N samples. Uniformly distributed white noise is taken as input.</dd></dl>
+<dl class="section user"><dt>Algorithm:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The variance of a sequence is the mean of the squared deviation of the sequence from its mean. </dd></dl>
+<dl class="section user"><dt></dt><dd>This is denoted by the following equation: <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre> where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>. </dd></dl>
+<dl class="section user"><dt></dt><dd>The mean value <code>x'</code> is defined as: <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre></dd></dl>
+<dl class="section user"><dt>Block Diagram:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><div class="image">
+<img src="Variance.gif" alt="Variance.gif"/>
+</div>
+</dd></dl>
+<dl class="section user"><dt>Variables Description:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><code>testInput_f32</code> points to the input data </li>
+<li><code>wire1</code>, <code>wir2</code>, <code>wire3</code> temporary buffers </li>
+<li><code>blockSize</code> number of samples processed at a time </li>
+<li><code>refVarianceOut</code> reference variance value</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>CMSIS DSP Software Library Functions Used:</dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd><ul>
+<li><a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3" title="Dot product of floating-point vectors.">arm_dot_prod_f32()</a></li>
+<li><a class="el" href="group___basic_mult.html#gaca3f0b8227da431ab29225b88888aa32" title="Floating-point vector multiplication.">arm_mult_f32()</a></li>
+<li><a class="el" href="group___basic_sub.html#ga7f975a472de286331134227c08aad826" title="Floating-point vector subtraction.">arm_sub_f32()</a></li>
+<li><a class="el" href="group___fill.html#ga2248e8d3901b4afb7827163132baad94" title="Fills a constant value into a floating-point vector.">arm_fill_f32()</a></li>
+<li><a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3" title="Copies the elements of a floating-point vector.">arm_copy_f32()</a></li>
+</ul>
+</dd></dl>
+<p><b> Refer </b> <a class="el" href="arm_variance_example_f32_8c-example.html">arm_variance_example_f32.c</a> </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+	-->
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+  </ul>
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+</html>
diff --git a/Documentation/DSP/html/group__clarke.html b/Documentation/DSP/html/group__clarke.html
new file mode 100644
index 0000000..da411f2
--- /dev/null
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+<title>CMSIS-DSP: Vector Clarke Transform</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="header">
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+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Clarke Transform</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2b4ebec76215e1277c970c269ffdbd76"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#ga2b4ebec76215e1277c970c269ffdbd76">arm_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ia, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ib, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIbeta)</td></tr>
+<tr class="memdesc:ga2b4ebec76215e1277c970c269ffdbd76"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Clarke transform.  <a href="#ga2b4ebec76215e1277c970c269ffdbd76"></a><br/></td></tr>
+<tr class="separator:ga2b4ebec76215e1277c970c269ffdbd76"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7fd106ca8d346a2a472842e0656014c1"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__clarke.html#ga7fd106ca8d346a2a472842e0656014c1">arm_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ia, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ib, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIbeta)</td></tr>
+<tr class="memdesc:ga7fd106ca8d346a2a472842e0656014c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clarke transform for Q31 version.  <a href="#ga7fd106ca8d346a2a472842e0656014c1"></a><br/></td></tr>
+<tr class="separator:ga7fd106ca8d346a2a472842e0656014c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>. When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below </p>
+<div class="image">
+<img src="clarke.gif" alt="clarke.gif"/>
+<div class="caption">
+Stator current space vector and its components in (a,b).</div></div>
+<p> and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code> can be calculated using only <code>Ia</code> and <code>Ib</code>.</p>
+<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
+<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
+<img src="clarkeFormula.gif" alt="clarkeFormula.gif"/>
+</div>
+ where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga2b4ebec76215e1277c970c269ffdbd76"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_clarke_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ia</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ib</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIalpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIbeta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga7fd106ca8d346a2a472842e0656014c1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_clarke_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ia</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ib</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIalpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIbeta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ia</td><td>input three-phase coordinate <code>a</code> </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ib</td><td>input three-phase coordinate <code>b</code> </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta</td></tr>
+  </table>
+  </dd>
+</dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition, hence there is no risk of overflow. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "arm_clarke_q31", "group__clarke.html#ga7fd106ca8d346a2a472842e0656014c1", null ]
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diff --git a/Documentation/DSP/html/group__cmplx__conj.html b/Documentation/DSP/html/group__cmplx__conj.html
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex Conjugate</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#ga3a102aead6460ad9fcb0626f6b226ffb">arm_cmplx_conj_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex conjugate.  <a href="#ga3a102aead6460ad9fcb0626f6b226ffb"></a><br/></td></tr>
+<tr class="separator:ga3a102aead6460ad9fcb0626f6b226ffb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf47689ae07962acaecb8ddde556df4a4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#gaf47689ae07962acaecb8ddde556df4a4">arm_cmplx_conj_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:gaf47689ae07962acaecb8ddde556df4a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex conjugate.  <a href="#gaf47689ae07962acaecb8ddde556df4a4"></a><br/></td></tr>
+<tr class="separator:gaf47689ae07962acaecb8ddde556df4a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafecc94879a383c5208ec3ef99485e4b5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__conj.html#gafecc94879a383c5208ec3ef99485e4b5">arm_cmplx_conj_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:gafecc94879a383c5208ec3ef99485e4b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex conjugate.  <a href="#gafecc94879a383c5208ec3ef99485e4b5"></a><br/></td></tr>
+<tr class="separator:gafecc94879a383c5208ec3ef99485e4b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Conjugates the elements of a complex data vector.</p>
+<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the where the result should be written. <code>numSamples</code> specifies the number of complex samples and the data in each array is stored in an interleaved fashion (real, imag, real, imag, ...). Each array has a total of <code>2*numSamples</code> values. The underlying algorithm is used:</p>
+<pre>        
+for(n=0; n&lt;numSamples; n++) {        
+    pDst[(2*n)+0)] = pSrc[(2*n)+0];     // real part        
+    pDst[(2*n)+1)] = -pSrc[(2*n)+1];    // imag part        
+}        
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga3a102aead6460ad9fcb0626f6b226ffb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_conj_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaf47689ae07962acaecb8ddde556df4a4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_conj_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gafecc94879a383c5208ec3ef99485e4b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_conj_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex Dot Product</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gadcfaf567a25eb641da4043eafb9bb076"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#gadcfaf567a25eb641da4043eafb9bb076">arm_cmplx_dot_prod_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *realResult, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *imagResult)</td></tr>
+<tr class="memdesc:gadcfaf567a25eb641da4043eafb9bb076"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex dot product.  <a href="#gadcfaf567a25eb641da4043eafb9bb076"></a><br/></td></tr>
+<tr class="separator:gadcfaf567a25eb641da4043eafb9bb076"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2b08b5e8001d2c15204639d00893fc70"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#ga2b08b5e8001d2c15204639d00893fc70">arm_cmplx_dot_prod_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *realResult, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *imagResult)</td></tr>
+<tr class="memdesc:ga2b08b5e8001d2c15204639d00893fc70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex dot product.  <a href="#ga2b08b5e8001d2c15204639d00893fc70"></a><br/></td></tr>
+<tr class="separator:ga2b08b5e8001d2c15204639d00893fc70"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5b731a59db062a9ad84562ef68a6c8af"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__dot__prod.html#ga5b731a59db062a9ad84562ef68a6c8af">arm_cmplx_dot_prod_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t numSamples, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *realResult, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *imagResult)</td></tr>
+<tr class="memdesc:ga5b731a59db062a9ad84562ef68a6c8af"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex dot product.  <a href="#ga5b731a59db062a9ad84562ef68a6c8af"></a><br/></td></tr>
+<tr class="separator:ga5b731a59db062a9ad84562ef68a6c8af"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the dot product of two complex vectors. The vectors are multiplied element-by-element and then summed.</p>
+<p>The <code>pSrcA</code> points to the first complex input vector and <code>pSrcB</code> points to the second complex input vector. <code>numSamples</code> specifies the number of complex samples and the data in each array is stored in an interleaved fashion (real, imag, real, imag, ...). Each array has a total of <code>2*numSamples</code> values.</p>
+<p>The underlying algorithm is used: </p>
+<pre>    
+realResult=0;    
+imagResult=0;    
+for(n=0; n&lt;numSamples; n++) {    
+    realResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+0] - pSrcA[(2*n)+1]*pSrcB[(2*n)+1];    
+    imagResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+1] + pSrcA[(2*n)+1]*pSrcB[(2*n)+0];    
+}    
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gadcfaf567a25eb641da4043eafb9bb076"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_dot_prod_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>realResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>imagResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+    <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
+    <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga2b08b5e8001d2c15204639d00893fc70"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_dot_prod_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>realResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>imagResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+    <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
+    <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result. These are accumulated in a 64-bit accumulator with 34.30 precision. As a final step, the accumulators are converted to 8.24 format. The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga5b731a59db062a9ad84562ef68a6c8af"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_dot_prod_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>realResult</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>imagResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in each vector </td></tr>
+    <tr><td class="paramname">*realResult</td><td>real part of the result returned here </td></tr>
+    <tr><td class="paramname">*imagResult</td><td>imaginary part of the result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format. The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits. Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768. The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format. Input down scaling is not required. </dd></dl>
+
+</div>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+  <div id="navrow1" class="tabs">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex Magnitude</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae45024c497392cde2ae358a76d435213"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#gae45024c497392cde2ae358a76d435213">arm_cmplx_mag_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:gae45024c497392cde2ae358a76d435213"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex magnitude.  <a href="#gae45024c497392cde2ae358a76d435213"></a><br/></td></tr>
+<tr class="separator:gae45024c497392cde2ae358a76d435213"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0a4a8f77a6a51d9b3f3b9d729f85b7a4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#ga0a4a8f77a6a51d9b3f3b9d729f85b7a4">arm_cmplx_mag_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga0a4a8f77a6a51d9b3f3b9d729f85b7a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex magnitude.  <a href="#ga0a4a8f77a6a51d9b3f3b9d729f85b7a4"></a><br/></td></tr>
+<tr class="separator:ga0a4a8f77a6a51d9b3f3b9d729f85b7a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga14f82f9230e9d96d5b9774e2fefcb7be"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag.html#ga14f82f9230e9d96d5b9774e2fefcb7be">arm_cmplx_mag_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga14f82f9230e9d96d5b9774e2fefcb7be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex magnitude.  <a href="#ga14f82f9230e9d96d5b9774e2fefcb7be"></a><br/></td></tr>
+<tr class="separator:ga14f82f9230e9d96d5b9774e2fefcb7be"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the magnitude of the elements of a complex data vector.</p>
+<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the where the result should be written. <code>numSamples</code> specifies the number of complex samples in the input array and the data is stored in an interleaved fashion (real, imag, real, imag, ...). The input array has a total of <code>2*numSamples</code> values; the output array has a total of <code>numSamples</code> values. The underlying algorithm is used:</p>
+<pre>    
+for(n=0; n&lt;numSamples; n++) {    
+    pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);    
+}    
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae45024c497392cde2ae358a76d435213"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to complex input buffer </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to real output buffer </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fft_bin_example_f32_8c-example.html#a13">arm_fft_bin_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="group___s_q_r_t.html#ga56a40d1cf842b0b45267df6761975da0">arm_sqrt_f32()</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__fft__bin__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0a4a8f77a6a51d9b3f3b9d729f85b7a4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the real output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="group___s_q_r_t.html#ga5abe5ca724f3e15849662b03752c1238">arm_sqrt_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga14f82f9230e9d96d5b9774e2fefcb7be"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the real output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format. Input down scaling is not required. </dd></dl>
+
+<p>References <a class="el" href="group___s_q_r_t.html#ga119e25831e141d734d7ef10636670058">arm_sqrt_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+];
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+<title>CMSIS-DSP: Complex Magnitude Squared</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+  <div id="navrow1" class="tabs">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Complex Magnitude Squared</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_cmplx_math.html">Complex Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaa7faccc0d96b061d8b7d0d7d82045074"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#gaa7faccc0d96b061d8b7d0d7d82045074">arm_cmplx_mag_squared_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:gaa7faccc0d96b061d8b7d0d7d82045074"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point complex magnitude squared.  <a href="#gaa7faccc0d96b061d8b7d0d7d82045074"></a><br/></td></tr>
+<tr class="separator:gaa7faccc0d96b061d8b7d0d7d82045074"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga45537f576102d960d467eb722b8431f2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#ga45537f576102d960d467eb722b8431f2">arm_cmplx_mag_squared_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga45537f576102d960d467eb722b8431f2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q15 complex magnitude squared.  <a href="#ga45537f576102d960d467eb722b8431f2"></a><br/></td></tr>
+<tr class="separator:ga45537f576102d960d467eb722b8431f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga384b0538101e8c03fa4fa14271e63b04"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cmplx__mag__squared.html#ga384b0538101e8c03fa4fa14271e63b04">arm_cmplx_mag_squared_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t numSamples)</td></tr>
+<tr class="memdesc:ga384b0538101e8c03fa4fa14271e63b04"><td class="mdescLeft">&#160;</td><td class="mdescRight">Q31 complex magnitude squared.  <a href="#ga384b0538101e8c03fa4fa14271e63b04"></a><br/></td></tr>
+<tr class="separator:ga384b0538101e8c03fa4fa14271e63b04"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the magnitude squared of the elements of a complex data vector.</p>
+<p>The <code>pSrc</code> points to the source data and <code>pDst</code> points to the where the result should be written. <code>numSamples</code> specifies the number of complex samples in the input array and the data is stored in an interleaved fashion (real, imag, real, imag, ...). The input array has a total of <code>2*numSamples</code> values; the output array has a total of <code>numSamples</code> values.</p>
+<p>The underlying algorithm is used:</p>
+<pre>        
+for(n=0; n&lt;numSamples; n++) {        
+    pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;        
+}        
+</pre><p>There are separate functions for floating-point, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaa7faccc0d96b061d8b7d0d7d82045074"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_squared_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the real output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga45537f576102d960d467eb722b8431f2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_squared_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the real output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga384b0538101e8c03fa4fa14271e63b04"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_cmplx_mag_squared_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>numSamples</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">*pSrc</td><td>points to the complex input vector </td></tr>
+    <tr><td class="paramname">*pDst</td><td>points to the real output vector </td></tr>
+    <tr><td class="paramname">numSamples</td><td>number of complex samples in the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. Input down scaling is not required. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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new file mode 100644
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+[
+    [ "arm_cmplx_mag_squared_f32", "group__cmplx__mag__squared.html#gaa7faccc0d96b061d8b7d0d7d82045074", null ],
+    [ "arm_cmplx_mag_squared_q15", "group__cmplx__mag__squared.html#ga45537f576102d960d467eb722b8431f2", null ],
+    [ "arm_cmplx_mag_squared_q31", "group__cmplx__mag__squared.html#ga384b0538101e8c03fa4fa14271e63b04", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__copy.html b/Documentation/DSP/html/group__copy.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Copy</title>
+<title>CMSIS-DSP: Vector Copy</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
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+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__copy.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Copy</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gadd1f737e677e0e6ca31767c7001417b3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gadd1f737e677e0e6ca31767c7001417b3">arm_copy_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gadd1f737e677e0e6ca31767c7001417b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the elements of a floating-point vector.  <a href="#gadd1f737e677e0e6ca31767c7001417b3"></a><br/></td></tr>
+<tr class="separator:gadd1f737e677e0e6ca31767c7001417b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga872ca4cfc18c680b8991ccd569a5fda0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0">arm_copy_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga872ca4cfc18c680b8991ccd569a5fda0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the elements of a Q15 vector.  <a href="#ga872ca4cfc18c680b8991ccd569a5fda0"></a><br/></td></tr>
+<tr class="separator:ga872ca4cfc18c680b8991ccd569a5fda0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaddf70be7e3f87e535c324862b501f3f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#gaddf70be7e3f87e535c324862b501f3f9">arm_copy_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaddf70be7e3f87e535c324862b501f3f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the elements of a Q31 vector.  <a href="#gaddf70be7e3f87e535c324862b501f3f9"></a><br/></td></tr>
+<tr class="separator:gaddf70be7e3f87e535c324862b501f3f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga467579beda492aa92797529d794c88fb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__copy.html#ga467579beda492aa92797529d794c88fb">arm_copy_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga467579beda492aa92797529d794c88fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copies the elements of a Q7 vector.  <a href="#ga467579beda492aa92797529d794c88fb"></a><br/></td></tr>
+<tr class="separator:ga467579beda492aa92797529d794c88fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Copies sample by sample from source vector to destination vector.</p>
+<pre>    
+        pDst[n] = pSrc[n];   0 &lt;= n &lt; blockSize.    
+</pre><p>There are separate functions for floating point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gadd1f737e677e0e6ca31767c7001417b3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_copy_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#a15">arm_convolution_example_f32.c</a>, <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a27">arm_signal_converge_example_f32.c</a>, and <a class="el" href="arm_variance_example_f32_8c-example.html#a15">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__convolution__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga872ca4cfc18c680b8991ccd569a5fda0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_copy_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___conv.html#gaf16f490d245391ec18a42adc73d6d749">arm_conv_fast_opt_q15()</a>, <a class="el" href="group___conv.html#gac77dbcaef5c754cac27eab96c4753a3c">arm_conv_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga3de9c4ddcc7886de25b70d875099a8d9">arm_conv_partial_fast_opt_q15()</a>, <a class="el" href="group___partial_conv.html#ga834b23b4ade8682beeb55778399101f8">arm_conv_partial_opt_q15()</a>, <a class="el" href="group___corr.html#ga40a0236b17220e8e22a22b5bc1c53c6b">arm_correlate_fast_opt_q15()</a>, and <a class="el" href="group___corr.html#gad71c0ec70ec69edbc48563d9a5f68451">arm_correlate_opt_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaddf70be7e3f87e535c324862b501f3f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_copy_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga467579beda492aa92797529d794c88fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_copy_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
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+</body>
+</html>
diff --git a/Documentation/DSP/html/group__copy.js b/Documentation/DSP/html/group__copy.js
new file mode 100644
index 0000000..a0c09b0
--- /dev/null
+++ b/Documentation/DSP/html/group__copy.js
@@ -0,0 +1,7 @@
+var group__copy =
+[
+    [ "arm_copy_f32", "group__copy.html#gadd1f737e677e0e6ca31767c7001417b3", null ],
+    [ "arm_copy_q15", "group__copy.html#ga872ca4cfc18c680b8991ccd569a5fda0", null ],
+    [ "arm_copy_q31", "group__copy.html#gaddf70be7e3f87e535c324862b501f3f9", null ],
+    [ "arm_copy_q7", "group__copy.html#ga467579beda492aa92797529d794c88fb", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__cos.html b/Documentation/DSP/html/group__cos.html
new file mode 100644
index 0000000..3a14513
--- /dev/null
+++ b/Documentation/DSP/html/group__cos.html
@@ -0,0 +1,236 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Cosine</title>
+<title>CMSIS-DSP: Cosine</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
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+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__cos.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Cosine</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_fast_math.html">Fast Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gace15287f9c64b9b4084d1c797d4c49d8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8">arm_cos_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> x)</td></tr>
+<tr class="memdesc:gace15287f9c64b9b4084d1c797d4c49d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric cosine function for floating-point data.  <a href="#gace15287f9c64b9b4084d1c797d4c49d8"></a><br/></td></tr>
+<tr class="separator:gace15287f9c64b9b4084d1c797d4c49d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadfd60c24def501638c0d5db20f4c869b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gadfd60c24def501638c0d5db20f4c869b">arm_cos_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> x)</td></tr>
+<tr class="memdesc:gadfd60c24def501638c0d5db20f4c869b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric cosine function for Q15 data.  <a href="#gadfd60c24def501638c0d5db20f4c869b"></a><br/></td></tr>
+<tr class="separator:gadfd60c24def501638c0d5db20f4c869b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad80f121949ef885a77d83ab36e002567"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__cos.html#gad80f121949ef885a77d83ab36e002567">arm_cos_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x)</td></tr>
+<tr class="memdesc:gad80f121949ef885a77d83ab36e002567"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric cosine function for Q31 data.  <a href="#gad80f121949ef885a77d83ab36e002567"></a><br/></td></tr>
+<tr class="separator:gad80f121949ef885a77d83ab36e002567"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the trigonometric cosine function using a combination of table lookup and linear interpolation. There are separate functions for Q15, Q31, and floating-point data types. The input to the floating-point version is in radians while the fixed-point Q15 and Q31 have a scaled input with the range [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a value of 2*pi wraps around to 0.</p>
+<p>The implementation is based on table lookup using 256 values together with linear interpolation. The steps used are:</p>
+<ol type="1">
+<li>Calculation of the nearest integer table index</li>
+<li>Compute the fractional portion (fract) of the table index.</li>
+<li>The final result equals <code>(1.0f-fract)*a + fract*b;</code></li>
+</ol>
+<p>where </p>
+<pre>
+   b=Table[index+0];
+   c=Table[index+1];
+</pre> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gace15287f9c64b9b4084d1c797d4c49d8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_cos_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>cos(x). </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_sin_cos_example_f32_8c-example.html#a11">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>, and <a class="el" href="arm__common__tables_8c.html#a1dec82d596780f1a66ef4f76f137c1d9">sinTable_f32</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__sin__cos__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gadfd60c24def501638c0d5db20f4c869b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_cos_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>cos(x).</dd></dl>
+<p>The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a34716b73c631e65e8dd855e08384ecb2">FAST_MATH_Q15_SHIFT</a>, and <a class="el" href="arm__common__tables_8c.html#a9cbcfe313f61add745ebfeddb4fecd55">sinTable_q15</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad80f121949ef885a77d83ab36e002567"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_cos_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>cos(x).</dd></dl>
+<p>The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a4268f77b1811a0c7fc2532a0bf6108b0">FAST_MATH_Q31_SHIFT</a>, and <a class="el" href="arm__common__tables_8c.html#a8bfccee9e1c0042cf4a765f4b19d097d">sinTable_q31</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
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+++ b/Documentation/DSP/html/group__cos.js
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+var group__cos =
+[
+    [ "arm_cos_f32", "group__cos.html#gace15287f9c64b9b4084d1c797d4c49d8", null ],
+    [ "arm_cos_q15", "group__cos.html#gadfd60c24def501638c0d5db20f4c869b", null ],
+    [ "arm_cos_q31", "group__cos.html#gad80f121949ef885a77d83ab36e002567", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__dot__prod.html b/Documentation/DSP/html/group__dot__prod.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Dot Product</title>
+<title>CMSIS-DSP: Vector Dot Product</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+        </div>
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+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__dot__prod.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Dot Product</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga55418d4362f6ba84c327f9b4f089a8c3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dot__prod.html#ga55418d4362f6ba84c327f9b4f089a8c3">arm_dot_prod_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrcB, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *result)</td></tr>
+<tr class="memdesc:ga55418d4362f6ba84c327f9b4f089a8c3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dot product of floating-point vectors.  <a href="#ga55418d4362f6ba84c327f9b4f089a8c3"></a><br/></td></tr>
+<tr class="separator:ga55418d4362f6ba84c327f9b4f089a8c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga436d5bed28a4b73b24acbde436a3044b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b">arm_dot_prod_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrcB, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *result)</td></tr>
+<tr class="memdesc:ga436d5bed28a4b73b24acbde436a3044b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dot product of Q15 vectors.  <a href="#ga436d5bed28a4b73b24acbde436a3044b"></a><br/></td></tr>
+<tr class="separator:ga436d5bed28a4b73b24acbde436a3044b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab15d8fa060fc85b4d948d091b7deaa11"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11">arm_dot_prod_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrcB, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *result)</td></tr>
+<tr class="memdesc:gab15d8fa060fc85b4d948d091b7deaa11"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dot product of Q31 vectors.  <a href="#gab15d8fa060fc85b4d948d091b7deaa11"></a><br/></td></tr>
+<tr class="separator:gab15d8fa060fc85b4d948d091b7deaa11"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9c3293a50ac7ec8ba928bf8e3aaea6c1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1">arm_dot_prod_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcA, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrcB, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *result)</td></tr>
+<tr class="memdesc:ga9c3293a50ac7ec8ba928bf8e3aaea6c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dot product of Q7 vectors.  <a href="#ga9c3293a50ac7ec8ba928bf8e3aaea6c1"></a><br/></td></tr>
+<tr class="separator:ga9c3293a50ac7ec8ba928bf8e3aaea6c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the dot product of two vectors. The vectors are multiplied element-by-element and then summed.</p>
+<pre>
+    sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
+</pre><p>There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga55418d4362f6ba84c327f9b4f089a8c3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dot_prod_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*result</td><td>output result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_variance_example_f32_8c-example.html#a12">arm_variance_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__variance__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga436d5bed28a4b73b24acbde436a3044b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dot_prod_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*result</td><td>output result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these results are added to a 64-bit accumulator in 34.30 format. Nonsaturating additions are used and given that there are 33 guard bits in the accumulator there is no risk of overflow. The return result is in 34.30 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab15d8fa060fc85b4d948d091b7deaa11"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dot_prod_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*result</td><td>output result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these are truncated to 2.48 format by discarding the lower 14 bits. The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. There are 15 guard bits in the accumulator and there is no risk of overflow as long as the length of the vectors is less than 2^16 elements. The return result is in 16.48 format. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga9c3293a50ac7ec8ba928bf8e3aaea6c1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_dot_prod_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrcB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcA</td><td>points to the first input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrcB</td><td>points to the second input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in each vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*result</td><td>output result returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these results are added to an accumulator in 18.14 format. Nonsaturating additions are used and there is no danger of wrap around as long as the vectors are less than 2^18 elements long. The return result is in 18.14 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+  </ul>
+</div>
+</body>
+</html>
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+    [ "arm_dot_prod_q15", "group__dot__prod.html#ga436d5bed28a4b73b24acbde436a3044b", null ],
+    [ "arm_dot_prod_q31", "group__dot__prod.html#gab15d8fa060fc85b4d948d091b7deaa11", null ],
+    [ "arm_dot_prod_q7", "group__dot__prod.html#ga9c3293a50ac7ec8ba928bf8e3aaea6c1", null ]
+];
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>Convert 32-bit floating point value</title>
+<title>CMSIS-DSP: Convert 32-bit floating point value</title>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Convert 32-bit floating point value</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga215456e35a18db86882e1d3f0d24e1f2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#ga215456e35a18db86882e1d3f0d24e1f2">arm_float_to_q15</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga215456e35a18db86882e1d3f0d24e1f2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the floating-point vector to Q15 vector.  <a href="#ga215456e35a18db86882e1d3f0d24e1f2"></a><br/></td></tr>
+<tr class="separator:ga215456e35a18db86882e1d3f0d24e1f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga177704107f94564e9abe4daaa36f4554"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#ga177704107f94564e9abe4daaa36f4554">arm_float_to_q31</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga177704107f94564e9abe4daaa36f4554"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the floating-point vector to Q31 vector.  <a href="#ga177704107f94564e9abe4daaa36f4554"></a><br/></td></tr>
+<tr class="separator:ga177704107f94564e9abe4daaa36f4554"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga44a393818cdee8dce80f2d66add25411"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__float__to__x.html#ga44a393818cdee8dce80f2d66add25411">arm_float_to_q7</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga44a393818cdee8dce80f2d66add25411"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the floating-point vector to Q7 vector.  <a href="#ga44a393818cdee8dce80f2d66add25411"></a><br/></td></tr>
+<tr class="separator:ga44a393818cdee8dce80f2d66add25411"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga215456e35a18db86882e1d3f0d24e1f2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the floating-point input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q15 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The equation used for the conversion process is: <pre>    
+        pDst[n] = (q15_t)(pSrc[n] * 32768);   0 &lt;= n &lt; blockSize.    
+</pre> </dd></dl>
+<dl class="section user"><dt>Scaling and Overflow Behavior: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga177704107f94564e9abe4daaa36f4554"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the floating-point input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q31 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The equation used for the conversion process is:</dd></dl>
+<pre>    
+        pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 &lt;= n &lt; blockSize.    
+ </pre><p> <b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.</dd></dl>
+<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a23">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga44a393818cdee8dce80f2d66add25411"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_float_to_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the floating-point input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q7 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The equation used for the conversion process is: <pre>    
+        pDst[n] = (q7_t)(pSrc[n] * 128);   0 &lt;= n &lt; blockSize.    
+ </pre> </dd></dl>
+<dl class="section user"><dt>Scaling and Overflow Behavior: </dt><dd></dd></dl>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>In order to apply rounding, the library should be rebuilt with the ROUNDING macro defined in the preprocessor section of project options. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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+];
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+<p>This set of functions operates on complex data vectors. The data in the complex arrays is stored in an interleaved fashion (real, imag, real, imag, ...). In the API functions, the number of samples in a complex array refers to the number of complex values; the array contains twice this number of real values. </p>
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: Controller Functions</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<p>This set of functions provides a fast approximation to sine, cosine, and square root. As compared to most of the other functions in the CMSIS math library, the fast math functions operate on individual values and not arrays. There are separate functions for Q15, Q31, and floating-point data. </p>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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new file mode 100644
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--- /dev/null
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+    [ "Biquad Cascade IIR Filters Using Direct Form I Structure", "group___biquad_cascade_d_f1.html", "group___biquad_cascade_d_f1" ],
+    [ "Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure", "group___biquad_cascade_d_f2_t.html", "group___biquad_cascade_d_f2_t" ],
+    [ "Convolution", "group___conv.html", "group___conv" ],
+    [ "Partial Convolution", "group___partial_conv.html", "group___partial_conv" ],
+    [ "Correlation", "group___corr.html", "group___corr" ],
+    [ "Finite Impulse Response (FIR) Decimator", "group___f_i_r__decimate.html", "group___f_i_r__decimate" ],
+    [ "Finite Impulse Response (FIR) Filters", "group___f_i_r.html", "group___f_i_r" ],
+    [ "Finite Impulse Response (FIR) Lattice Filters", "group___f_i_r___lattice.html", "group___f_i_r___lattice" ],
+    [ "Finite Impulse Response (FIR) Sparse Filters", "group___f_i_r___sparse.html", "group___f_i_r___sparse" ],
+    [ "Infinite Impulse Response (IIR) Lattice Filters", "group___i_i_r___lattice.html", "group___i_i_r___lattice" ],
+    [ "Least Mean Square (LMS) Filters", "group___l_m_s.html", "group___l_m_s" ],
+    [ "Normalized LMS Filters", "group___l_m_s___n_o_r_m.html", "group___l_m_s___n_o_r_m" ],
+    [ "Finite Impulse Response (FIR) Interpolator", "group___f_i_r___interpolate.html", "group___f_i_r___interpolate" ]
+];
\ No newline at end of file
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: Interpolation Functions</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+  <div class="summary">
+<a href="#groups">Content</a>  </div>
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+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>These functions perform 1- and 2-dimensional interpolation of data. Linear interpolation is used for 1-dimensional data and bilinear interpolation is used for 2-dimensional data. </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Basic Math Functions</title>
+<title>CMSIS-DSP: Basic Math Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div class="summary">
+<a href="#groups">Content</a>  </div>
+  <div class="headertitle">
+<div class="title">Basic Math Functions</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
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+<tr class="memitem:group__shift"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html">Vector Shift</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Matrix Functions</title>
+<title>CMSIS-DSP: Matrix Functions</title>
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+<div class="title">Matrix Functions</div>  </div>
+</div><!--header-->
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
+Content</h2></td></tr>
+<tr class="memitem:group___matrix_add"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_add.html">Matrix Addition</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___cmplx_matrix_mult"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___cmplx_matrix_mult.html">Complex Matrix Multiplication</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___matrix_init"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_init.html">Matrix Initialization</a></td></tr>
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+<tr class="memitem:group___matrix_inv"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_inv.html">Matrix Inverse</a></td></tr>
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+<tr class="memitem:group___matrix_sub"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_sub.html">Matrix Subtraction</a></td></tr>
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+<tr class="memitem:group___matrix_trans"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_trans.html">Matrix Transpose</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>This set of functions provides basic matrix math operations. The functions operate on matrix data structures. For example, the type definition for the floating-point matrix structure is shown below: </p>
+<pre>
+    typedef struct
+    {
+      uint16_t numRows;     // number of rows of the matrix.
+      uint16_t numCols;     // number of columns of the matrix.
+      float32_t *pData;     // points to the data of the matrix.
+    } <a class="el" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a>;
+</pre><p> There are similar definitions for Q15 and Q31 data types.</p>
+<p>The structure specifies the size of the matrix and then points to an array of data. The array is of size <code>numRows X numCols</code> and the values are arranged in row order. That is, the matrix element (i, j) is stored at: </p>
+<pre>
+    pData[i*numCols + j]
+</pre><dl class="section user"><dt>Init Functions</dt><dd>There is an associated initialization function for each type of matrix data structure. The initialization function sets the values of the internal structure fields. Refer to the function <code><a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27" title="Floating-point matrix initialization.">arm_mat_init_f32()</a></code>, <code><a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc" title="Q31 matrix initialization.">arm_mat_init_q31()</a></code> and <code><a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26" title="Q15 matrix initialization.">arm_mat_init_q15()</a></code> for floating-point, Q31 and Q15 types, respectively.</dd></dl>
+<dl class="section user"><dt></dt><dd>Use of the initialization function is optional. However, if initialization function is used then the instance structure cannot be placed into a const data section. To place the instance structure in a const data section, manually initialize the data structure. For example: <pre>
+<code><a class="el" href="structarm__matrix__instance__f32.html" title="Instance structure for the floating-point matrix structure.">arm_matrix_instance_f32</a> S = {nRows, nColumns, pData};</code>
+<code><a class="el" href="structarm__matrix__instance__q31.html" title="Instance structure for the Q31 matrix structure.">arm_matrix_instance_q31</a> S = {nRows, nColumns, pData};</code>
+<code><a class="el" href="structarm__matrix__instance__q15.html" title="Instance structure for the Q15 matrix structure.">arm_matrix_instance_q15</a> S = {nRows, nColumns, pData};</code>
+</pre> where <code>nRows</code> specifies the number of rows, <code>nColumns</code> specifies the number of columns, and <code>pData</code> points to the data array.</dd></dl>
+<dl class="section user"><dt>Size Checking</dt><dd>By default all of the matrix functions perform size checking on the input and output matrices. For example, the matrix addition function verifies that the two input matrices and the output matrix all have the same number of rows and columns. If the size check fails the functions return: <pre>
+    ARM_MATH_SIZE_MISMATCH
+</pre> Otherwise the functions return <pre>
+    ARM_MATH_SUCCESS
+</pre> There is some overhead associated with this matrix size checking. The matrix size checking is enabled via the #define <pre>
+    ARM_MATH_MATRIX_CHECK
+</pre> within the library project settings. By default this macro is defined and size checking is enabled. By changing the project settings and undefining this macro size checking is eliminated and the functions run a bit faster. With size checking disabled the functions always return <code>ARM_MATH_SUCCESS</code>. </dd></dl>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+</div><!-- contents -->
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+<!-- start footer part -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Transform Functions</title>
+<title>CMSIS-DSP: Transform Functions</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<a href="#groups">Content</a> &#124;
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+<tr class="memitem:group___fast"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___fast.html">Real FFT Functions</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae239ddf995d1607115f9e84d5c069b9c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c">arm_radix4_butterfly_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint16_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pCoef, uint16_t twidCoefModifier)</td></tr>
+<tr class="separator:gae239ddf995d1607115f9e84d5c069b9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb">arm_split_rfft_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t fftLen, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pATable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pBTable, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t modifier)</td></tr>
+<tr class="memdesc:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Core Real FFT process.  <a href="#ga6cfdb6bdc66b13732ef2351caf98fdbb"></a><br/></td></tr>
+<tr class="separator:ga6cfdb6bdc66b13732ef2351caf98fdbb"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae239ddf995d1607115f9e84d5c069b9c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">void arm_radix4_butterfly_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pCoef</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint16_t&#160;</td>
+          <td class="paramname"><em>twidCoefModifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
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+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_split_rfft_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>fftLen</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pATable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pBTable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>modifier</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>end of RealFFT group </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">fftLen</td><td>length of FFT. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pATable</td><td>points to the twiddle Coef A buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pBTable</td><td>points to the twiddle Coef B buffer. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output buffer. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">modifier</td><td>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
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+</html>
diff --git a/Documentation/DSP/html/group__group_transforms.js b/Documentation/DSP/html/group__group_transforms.js
new file mode 100644
index 0000000..20efb6a
--- /dev/null
+++ b/Documentation/DSP/html/group__group_transforms.js
@@ -0,0 +1,11 @@
+var group__group_transforms =
+[
+    [ "Complex FFT Functions", "group___complex_f_f_t.html", "group___complex_f_f_t" ],
+    [ "Radix-8 Complex FFT Functions", "group___radix8___c_f_f_t___c_i_f_f_t.html", null ],
+    [ "DCT Type IV Functions", "group___d_c_t4___i_d_c_t4.html", "group___d_c_t4___i_d_c_t4" ],
+    [ "Real FFT Functions", "group___fast.html", null ],
+    [ "Complex FFT Tables", "group___c_f_f_t___c_i_f_f_t.html", "group___c_f_f_t___c_i_f_f_t" ],
+    [ "RealFFT", "group___real_f_f_t.html", "group___real_f_f_t" ],
+    [ "arm_radix4_butterfly_f32", "group__group_transforms.html#gae239ddf995d1607115f9e84d5c069b9c", null ],
+    [ "arm_split_rfft_f32", "group__group_transforms.html#ga6cfdb6bdc66b13732ef2351caf98fdbb", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__inv__clarke.html b/Documentation/DSP/html/group__inv__clarke.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Inverse Clarke Transform</title>
+<title>CMSIS-DSP: Vector Inverse Clarke Transform</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+	  </ul>
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+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__inv__clarke.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Inverse Clarke Transform</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga137f0396d837477b899ecae89f075a50"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga137f0396d837477b899ecae89f075a50">arm_inv_clarke_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ialpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ibeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIa, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIb)</td></tr>
+<tr class="memdesc:ga137f0396d837477b899ecae89f075a50"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Inverse Clarke transform.  <a href="#ga137f0396d837477b899ecae89f075a50"></a><br/></td></tr>
+<tr class="separator:ga137f0396d837477b899ecae89f075a50"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2d0c60f114f095a2f27442d98781ba02"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__clarke.html#ga2d0c60f114f095a2f27442d98781ba02">arm_inv_clarke_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ialpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ibeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIa, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIb)</td></tr>
+<tr class="memdesc:ga2d0c60f114f095a2f27442d98781ba02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverse Clarke transform for Q31 version.  <a href="#ga2d0c60f114f095a2f27442d98781ba02"></a><br/></td></tr>
+<tr class="separator:ga2d0c60f114f095a2f27442d98781ba02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.</p>
+<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
+<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
+<img src="clarkeInvFormula.gif" alt="clarkeInvFormula.gif"/>
+</div>
+ where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector. </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Clarke transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga137f0396d837477b899ecae89f075a50"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_inv_clarke_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ialpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ibeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIa</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIb</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code> </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga2d0c60f114f095a2f27442d98781ba02"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_inv_clarke_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ialpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ibeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIa</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIb</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase orthogonal vector axis beta </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIa</td><td>points to output three-phase coordinate <code>a</code> </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIb</td><td>points to output three-phase coordinate <code>b</code></td></tr>
+  </table>
+  </dd>
+</dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the subtraction, hence there is no risk of overflow. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
index 0000000..bc13304
--- /dev/null
+++ b/Documentation/DSP/html/group__inv__clarke.js
@@ -0,0 +1,5 @@
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+[
+    [ "arm_inv_clarke_f32", "group__inv__clarke.html#ga137f0396d837477b899ecae89f075a50", null ],
+    [ "arm_inv_clarke_q31", "group__inv__clarke.html#ga2d0c60f114f095a2f27442d98781ba02", null ]
+];
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Inverse Park transform</title>
+<title>CMSIS-DSP: Vector Inverse Park transform</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<script type="text/javascript" src="printComponentTabs.js"></script>
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+  $(document).ready(initResizable);
+</script>
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+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Inverse Park transform</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaaf6bef0de21946f774d49df050dd8b05"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__park.html#gaaf6bef0de21946f774d49df050dd8b05">arm_inv_park_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Id, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Iq, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIbeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosVal)</td></tr>
+<tr class="memdesc:gaaf6bef0de21946f774d49df050dd8b05"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Inverse Park transform.  <a href="#gaaf6bef0de21946f774d49df050dd8b05"></a><br/></td></tr>
+<tr class="separator:gaaf6bef0de21946f774d49df050dd8b05"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0b33822b988a15455773d28440c5579a"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__inv__park.html#ga0b33822b988a15455773d28440c5579a">arm_inv_park_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Id, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Iq, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIalpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIbeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cosVal)</td></tr>
+<tr class="memdesc:ga0b33822b988a15455773d28440c5579a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inverse Park transform for Q31 version.  <a href="#ga0b33822b988a15455773d28440c5579a"></a><br/></td></tr>
+<tr class="separator:ga0b33822b988a15455773d28440c5579a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Inverse Park transform converts the input flux and torque components to two-coordinate vector.</p>
+<p>The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
+<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
+<img src="parkInvFormula.gif" alt="parkInvFormula.gif"/>
+</div>
+ where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components, <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the cosine and sine values of theta (rotor flux position). </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Park transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaaf6bef0de21946f774d49df050dd8b05"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_inv_park_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Iq</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIalpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIbeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>sinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>cosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Id</td><td>input coordinate of rotor reference frame d </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Iq</td><td>input coordinate of rotor reference frame q </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta </td></tr>
+  </table>
+  </dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ga0b33822b988a15455773d28440c5579a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_inv_park_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Iq</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIalpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIbeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>sinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>cosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Id</td><td>input coordinate of rotor reference frame d </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Iq</td><td>input coordinate of rotor reference frame q </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIalpha</td><td>points to output two-phase orthogonal vector axis alpha </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIbeta</td><td>points to output two-phase orthogonal vector axis beta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta</td></tr>
+  </table>
+  </dd>
+</dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition, hence there is no risk of overflow. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
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+];
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Mean</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga74ce08c49ab61e57bd50c3a0ca1fdb2b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b">arm_mean_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga74ce08c49ab61e57bd50c3a0ca1fdb2b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mean value of a floating-point vector.  <a href="#ga74ce08c49ab61e57bd50c3a0ca1fdb2b"></a><br/></td></tr>
+<tr class="separator:ga74ce08c49ab61e57bd50c3a0ca1fdb2b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac882495d5f098819fd3939c1ef7795b3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gac882495d5f098819fd3939c1ef7795b3">arm_mean_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
+<tr class="memdesc:gac882495d5f098819fd3939c1ef7795b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mean value of a Q15 vector.  <a href="#gac882495d5f098819fd3939c1ef7795b3"></a><br/></td></tr>
+<tr class="separator:gac882495d5f098819fd3939c1ef7795b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gacf2526d8c2d75e486e8f0b0e31877ad0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0">arm_mean_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:gacf2526d8c2d75e486e8f0b0e31877ad0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mean value of a Q31 vector.  <a href="#gacf2526d8c2d75e486e8f0b0e31877ad0"></a><br/></td></tr>
+<tr class="separator:gacf2526d8c2d75e486e8f0b0e31877ad0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaebc707ee539020357c25da4c75b52eb7"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__mean.html#gaebc707ee539020357c25da4c75b52eb7">arm_mean_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pResult)</td></tr>
+<tr class="memdesc:gaebc707ee539020357c25da4c75b52eb7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mean value of a Q7 vector.  <a href="#gaebc707ee539020357c25da4c75b52eb7"></a><br/></td></tr>
+<tr class="separator:gaebc707ee539020357c25da4c75b52eb7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector. The underlying algorithm is used:</p>
+<pre>    
+        Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;    
+</pre><p>There are separate functions for floating-point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga74ce08c49ab61e57bd50c3a0ca1fdb2b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mean_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>mean value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a20">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac882495d5f098819fd3939c1ef7795b3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mean_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>mean value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.15 format and is accumulated in a 32-bit accumulator in 17.15 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is saturated and truncated to yield a result of 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gacf2526d8c2d75e486e8f0b0e31877ad0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mean_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>mean value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.31 format and is accumulated in a 64-bit accumulator in 33.31 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is truncated to yield a result of 1.31 format. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaebc707ee539020357c25da4c75b52eb7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_mean_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>mean value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.7 format and is accumulated in a 32-bit accumulator in 25.7 format. There is no risk of internal overflow with this approach, and the full precision of intermediate result is preserved. Finally, the accumulator is truncated to yield a result of 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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diff --git a/Documentation/DSP/html/group__mean.js b/Documentation/DSP/html/group__mean.js
new file mode 100644
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+var group__mean =
+[
+    [ "arm_mean_f32", "group__mean.html#ga74ce08c49ab61e57bd50c3a0ca1fdb2b", null ],
+    [ "arm_mean_q15", "group__mean.html#gac882495d5f098819fd3939c1ef7795b3", null ],
+    [ "arm_mean_q31", "group__mean.html#gacf2526d8c2d75e486e8f0b0e31877ad0", null ],
+    [ "arm_mean_q7", "group__mean.html#gaebc707ee539020357c25da4c75b52eb7", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__negate.html b/Documentation/DSP/html/group__negate.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Negate</title>
+<title>CMSIS-DSP: Vector Negate</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Negate</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga2e169c4de6cc6e3ba4be9473531e6657"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657">arm_negate_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2e169c4de6cc6e3ba4be9473531e6657"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negates the elements of a floating-point vector.  <a href="#ga2e169c4de6cc6e3ba4be9473531e6657"></a><br/></td></tr>
+<tr class="separator:ga2e169c4de6cc6e3ba4be9473531e6657"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0239a833d72cf00290b9723c394e5042"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#ga0239a833d72cf00290b9723c394e5042">arm_negate_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga0239a833d72cf00290b9723c394e5042"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negates the elements of a Q15 vector.  <a href="#ga0239a833d72cf00290b9723c394e5042"></a><br/></td></tr>
+<tr class="separator:ga0239a833d72cf00290b9723c394e5042"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2784c6887686a73dc7c364e2e41c776c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#ga2784c6887686a73dc7c364e2e41c776c">arm_negate_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga2784c6887686a73dc7c364e2e41c776c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negates the elements of a Q31 vector.  <a href="#ga2784c6887686a73dc7c364e2e41c776c"></a><br/></td></tr>
+<tr class="separator:ga2784c6887686a73dc7c364e2e41c776c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaae78fc079a43bdaa3055f9b32e2a1f4c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c">arm_negate_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaae78fc079a43bdaa3055f9b32e2a1f4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negates the elements of a Q7 vector.  <a href="#gaae78fc079a43bdaa3055f9b32e2a1f4c"></a><br/></td></tr>
+<tr class="separator:gaae78fc079a43bdaa3055f9b32e2a1f4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Negates the elements of a vector.</p>
+<pre>        
+    pDst[n] = -pSrc[n],   0 &lt;= n &lt; blockSize.        
+</pre><p>The functions support in-place computation allowing the source and destination pointers to reference the same memory buffer. There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga2e169c4de6cc6e3ba4be9473531e6657"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_negate_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0239a833d72cf00290b9723c394e5042"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_negate_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Conditions for optimum performance </dt><dd>Input and output buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#af0d54ec57b936994a34f073d0049ea3f">_SIMD32_OFFSET</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga2784c6887686a73dc7c364e2e41c776c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_negate_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaae78fc079a43bdaa3055f9b32e2a1f4c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_negate_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
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diff --git a/Documentation/DSP/html/group__negate.js b/Documentation/DSP/html/group__negate.js
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+var group__negate =
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+    [ "arm_negate_f32", "group__negate.html#ga2e169c4de6cc6e3ba4be9473531e6657", null ],
+    [ "arm_negate_q15", "group__negate.html#ga0239a833d72cf00290b9723c394e5042", null ],
+    [ "arm_negate_q31", "group__negate.html#ga2784c6887686a73dc7c364e2e41c776c", null ],
+    [ "arm_negate_q7", "group__negate.html#gaae78fc079a43bdaa3055f9b32e2a1f4c", null ]
+];
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+<title>Vector Offset</title>
+<title>CMSIS-DSP: Vector Offset</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Offset</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga989dfae15235799d82f62ef9d356abb4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__offset.html#ga989dfae15235799d82f62ef9d356abb4">arm_offset_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> offset, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga989dfae15235799d82f62ef9d356abb4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds a constant offset to a floating-point vector.  <a href="#ga989dfae15235799d82f62ef9d356abb4"></a><br/></td></tr>
+<tr class="separator:ga989dfae15235799d82f62ef9d356abb4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab4c1d2391b599549e5a06fdfbc2747bf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf">arm_offset_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> offset, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gab4c1d2391b599549e5a06fdfbc2747bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds a constant offset to a Q15 vector.  <a href="#gab4c1d2391b599549e5a06fdfbc2747bf"></a><br/></td></tr>
+<tr class="separator:gab4c1d2391b599549e5a06fdfbc2747bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac84ec42cbbebc5c197a87d0221819acf"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__offset.html#gac84ec42cbbebc5c197a87d0221819acf">arm_offset_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> offset, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gac84ec42cbbebc5c197a87d0221819acf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds a constant offset to a Q31 vector.  <a href="#gac84ec42cbbebc5c197a87d0221819acf"></a><br/></td></tr>
+<tr class="separator:gac84ec42cbbebc5c197a87d0221819acf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga00bd9cc17c5bf905e76c91ad50886393"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393">arm_offset_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> offset, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga00bd9cc17c5bf905e76c91ad50886393"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds a constant offset to a Q7 vector.  <a href="#ga00bd9cc17c5bf905e76c91ad50886393"></a><br/></td></tr>
+<tr class="separator:ga00bd9cc17c5bf905e76c91ad50886393"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Adds a constant offset to each element of a vector.</p>
+<pre>        
+    pDst[n] = pSrc[n] + offset,   0 &lt;= n &lt; blockSize.        
+</pre><p>The functions support in-place computation allowing the source and destination pointers to reference the same memory buffer. There are separate functions for floating-point, Q7, Q15, and Q31 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga989dfae15235799d82f62ef9d356abb4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_offset_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>offset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>is the offset to be added </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab4c1d2391b599549e5a06fdfbc2747bf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_offset_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>offset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>is the offset to be added </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac84ec42cbbebc5c197a87d0221819acf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_offset_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>offset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>is the offset to be added </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga00bd9cc17c5bf905e76c91ad50886393"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_offset_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td>
+          <td class="paramname"><em>offset</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">offset</td><td>is the offset to be added </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x80 0x7F] are saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/group__offset.js b/Documentation/DSP/html/group__offset.js
new file mode 100644
index 0000000..1c48653
--- /dev/null
+++ b/Documentation/DSP/html/group__offset.js
@@ -0,0 +1,7 @@
+var group__offset =
+[
+    [ "arm_offset_f32", "group__offset.html#ga989dfae15235799d82f62ef9d356abb4", null ],
+    [ "arm_offset_q15", "group__offset.html#gab4c1d2391b599549e5a06fdfbc2747bf", null ],
+    [ "arm_offset_q31", "group__offset.html#gac84ec42cbbebc5c197a87d0221819acf", null ],
+    [ "arm_offset_q7", "group__offset.html#ga00bd9cc17c5bf905e76c91ad50886393", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__park.html b/Documentation/DSP/html/group__park.html
new file mode 100644
index 0000000..c0d5a8c
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Vector Park Transform</title>
+<title>CMSIS-DSP: Vector Park Transform</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Park Transform</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_controller.html">Controller Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga08b3a683197de7e143fb00497787683c"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__park.html#ga08b3a683197de7e143fb00497787683c">arm_park_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ialpha, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> Ibeta, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pId, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pIq, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> sinVal, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> cosVal)</td></tr>
+<tr class="memdesc:ga08b3a683197de7e143fb00497787683c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point Park transform.  <a href="#ga08b3a683197de7e143fb00497787683c"></a><br/></td></tr>
+<tr class="separator:ga08b3a683197de7e143fb00497787683c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf4cc6370c0cfc14ea66774ed3c5bb10f"><td class="memItemLeft" align="right" valign="top">static __INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__park.html#gaf4cc6370c0cfc14ea66774ed3c5bb10f">arm_park_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ialpha, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> Ibeta, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pId, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pIq, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> sinVal, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> cosVal)</td></tr>
+<tr class="memdesc:gaf4cc6370c0cfc14ea66774ed3c5bb10f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Park transform for Q31 version.  <a href="#gaf4cc6370c0cfc14ea66774ed3c5bb10f"></a><br/></td></tr>
+<tr class="separator:gaf4cc6370c0cfc14ea66774ed3c5bb10f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Forward Park transform converts the input two-coordinate vector to flux and torque components. The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents from the stationary to the moving reference frame and control the spatial relationship between the stator vector current and rotor flux vector. If we consider the d axis aligned with the rotor flux, the diagram below shows the current vector and the relationship from the two reference frames: </p>
+<div class="image">
+<img src="park.gif" alt="park.gif"/>
+<div class="caption">
+Stator current space vector and its component in (a,b) and in the d,q rotating reference frame</div></div>
+<p> The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types. </p>
+<dl class="section user"><dt>Algorithm</dt><dd><div class="image">
+<img src="parkFormula.gif" alt="parkFormula.gif"/>
+</div>
+ where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components, <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the cosine and sine values of theta (rotor flux position). </dd></dl>
+<dl class="section user"><dt>Fixed-Point Behavior</dt><dd>Care must be taken when using the Q31 version of the Park transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines. </dd></dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga08b3a683197de7e143fb00497787683c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_park_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ialpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>Ibeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pId</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pIq</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>sinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>cosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase vector coordinate alpha </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase vector coordinate beta </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pId</td><td>points to output rotor reference frame d </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIq</td><td>points to output rotor reference frame q </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>The function implements the forward Park transform. </p>
+
+</div>
+</div>
+<a class="anchor" id="gaf4cc6370c0cfc14ea66774ed3c5bb10f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static __INLINE void arm_park_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ialpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>Ibeta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pId</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pIq</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>sinVal</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>cosVal</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ialpha</td><td>input two-phase vector coordinate alpha </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">Ibeta</td><td>input two-phase vector coordinate beta </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pId</td><td>points to output rotor reference frame d </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">pIq</td><td>points to output rotor reference frame q </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">sinVal</td><td>sine value of rotation angle theta </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cosVal</td><td>cosine value of rotation angle theta</td></tr>
+  </table>
+  </dd>
+</dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition and subtraction, hence there is no risk of overflow. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
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+    [ "arm_park_q31", "group__park.html#gaf4cc6370c0cfc14ea66774ed3c5bb10f", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__power.html b/Documentation/DSP/html/group__power.html
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
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+Functions</h2></td></tr>
+<tr class="memitem:ga993c00dd7f661d66bdb6e58426e893aa"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#ga993c00dd7f661d66bdb6e58426e893aa">arm_power_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga993c00dd7f661d66bdb6e58426e893aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sum of the squares of the elements of a floating-point vector.  <a href="#ga993c00dd7f661d66bdb6e58426e893aa"></a><br/></td></tr>
+<tr class="separator:ga993c00dd7f661d66bdb6e58426e893aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7050c04b7515e01a75c38f1abbaf71ba"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba">arm_power_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga7050c04b7515e01a75c38f1abbaf71ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sum of the squares of the elements of a Q15 vector.  <a href="#ga7050c04b7515e01a75c38f1abbaf71ba"></a><br/></td></tr>
+<tr class="separator:ga7050c04b7515e01a75c38f1abbaf71ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0b93d31bb5b5ed214c2b94d8a7744cd2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2">arm_power_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga0b93d31bb5b5ed214c2b94d8a7744cd2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sum of the squares of the elements of a Q31 vector.  <a href="#ga0b93d31bb5b5ed214c2b94d8a7744cd2"></a><br/></td></tr>
+<tr class="separator:ga0b93d31bb5b5ed214c2b94d8a7744cd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf969c85c5655e3d72d7b99ff188f92c9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9">arm_power_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:gaf969c85c5655e3d72d7b99ff188f92c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Sum of the squares of the elements of a Q7 vector.  <a href="#gaf969c85c5655e3d72d7b99ff188f92c9"></a><br/></td></tr>
+<tr class="separator:gaf969c85c5655e3d72d7b99ff188f92c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Calculates the sum of the squares of the elements in the input vector. The underlying algorithm is used:</p>
+<pre>    
+        Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];    
+</pre><p>There are separate functions for floating point, Q31, Q15, and Q7 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga993c00dd7f661d66bdb6e58426e893aa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_power_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>sum of the squares value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7050c04b7515e01a75c38f1abbaf71ba"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_power_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>sum of the squares value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 34.30 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0b93d31bb5b5ed214c2b94d8a7744cd2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_power_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>sum of the squares value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.31 format. Intermediate multiplication yields a 2.62 format, and this result is truncated to 2.48 format by discarding the lower 14 bits. The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. With 15 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 16.48 format. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf969c85c5655e3d72d7b99ff188f92c9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_power_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>sum of the squares value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 32-bit internal accumulator. The input is represented in 1.7 format. Intermediate multiplication yields a 2.14 format, and this result is added without saturation to an accumulator in 18.14 format. With 17 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the return result is in 18.14 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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diff --git a/Documentation/DSP/html/group__power.js b/Documentation/DSP/html/group__power.js
new file mode 100644
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+var group__power =
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+    [ "arm_power_q15", "group__power.html#ga7050c04b7515e01a75c38f1abbaf71ba", null ],
+    [ "arm_power_q31", "group__power.html#ga0b93d31bb5b5ed214c2b94d8a7744cd2", null ],
+    [ "arm_power_q7", "group__power.html#gaf969c85c5655e3d72d7b99ff188f92c9", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__q15__to__x.html b/Documentation/DSP/html/group__q15__to__x.html
new file mode 100644
index 0000000..1fa9624
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+++ b/Documentation/DSP/html/group__q15__to__x.html
@@ -0,0 +1,286 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Convert 16-bit Integer value</title>
+<title>CMSIS-DSP: Convert 16-bit Integer value</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">Convert 16-bit Integer value</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaf8b0d2324de273fc430b0e61ad4e9eb2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#gaf8b0d2324de273fc430b0e61ad4e9eb2">arm_q15_to_float</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaf8b0d2324de273fc430b0e61ad4e9eb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q15 vector to floating-point vector.  <a href="#gaf8b0d2324de273fc430b0e61ad4e9eb2"></a><br/></td></tr>
+<tr class="separator:gaf8b0d2324de273fc430b0e61ad4e9eb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7ba2d87366990ad5380439e2b4a4c0a5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#ga7ba2d87366990ad5380439e2b4a4c0a5">arm_q15_to_q31</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga7ba2d87366990ad5380439e2b4a4c0a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q15 vector to Q31 vector.  <a href="#ga7ba2d87366990ad5380439e2b4a4c0a5"></a><br/></td></tr>
+<tr class="separator:ga7ba2d87366990ad5380439e2b4a4c0a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8fb31855ff8cce09c2ec9308f48ded69"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q15__to__x.html#ga8fb31855ff8cce09c2ec9308f48ded69">arm_q15_to_q7</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga8fb31855ff8cce09c2ec9308f48ded69"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q15 vector to Q7 vector.  <a href="#ga8fb31855ff8cce09c2ec9308f48ded69"></a><br/></td></tr>
+<tr class="separator:ga8fb31855ff8cce09c2ec9308f48ded69"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaf8b0d2324de273fc430b0e61ad4e9eb2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q15_to_float </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q15 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the floating-point output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (float32_t) pSrc[n] / 32768;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7ba2d87366990ad5380439e2b4a4c0a5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q15_to_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q15 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q31 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q31_t) pSrc[n] &lt;&lt; 16;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga8fb31855ff8cce09c2ec9308f48ded69"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q15_to_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q15 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q7 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q7_t) pSrc[n] &gt;&gt; 8;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>Convert 32-bit Integer value</title>
+<title>CMSIS-DSP: Convert 32-bit Integer value</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Convert 32-bit Integer value</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gacf407b007a37da18e99dabd9023c56b4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#gacf407b007a37da18e99dabd9023c56b4">arm_q31_to_float</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gacf407b007a37da18e99dabd9023c56b4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q31 vector to floating-point vector.  <a href="#gacf407b007a37da18e99dabd9023c56b4"></a><br/></td></tr>
+<tr class="separator:gacf407b007a37da18e99dabd9023c56b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga901dede4661365c9e7c630d3eb31c32c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c">arm_q31_to_q15</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga901dede4661365c9e7c630d3eb31c32c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q31 vector to Q15 vector.  <a href="#ga901dede4661365c9e7c630d3eb31c32c"></a><br/></td></tr>
+<tr class="separator:ga901dede4661365c9e7c630d3eb31c32c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7f297d1a7d776805395095fdb24a8071"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071">arm_q31_to_q7</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga7f297d1a7d776805395095fdb24a8071"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q31 vector to Q7 vector.  <a href="#ga7f297d1a7d776805395095fdb24a8071"></a><br/></td></tr>
+<tr class="separator:ga7f297d1a7d776805395095fdb24a8071"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gacf407b007a37da18e99dabd9023c56b4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q31_to_float </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q31 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the floating-point output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 &lt;= n &lt; blockSize.    
+</pre> <dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a27">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga901dede4661365c9e7c630d3eb31c32c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q31_to_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q31 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q15 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q15_t) pSrc[n] &gt;&gt; 16;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga7f297d1a7d776805395095fdb24a8071"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q31_to_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q31 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q7 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q7_t) pSrc[n] &gt;&gt; 24;   0 &lt;= n &lt; blockSize.     
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
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+    [ "arm_q31_to_q15", "group__q31__to__x.html#ga901dede4661365c9e7c630d3eb31c32c", null ],
+    [ "arm_q31_to_q7", "group__q31__to__x.html#ga7f297d1a7d776805395095fdb24a8071", null ]
+];
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new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Convert 8-bit Integer value</title>
+<title>CMSIS-DSP: Convert 8-bit Integer value</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+$(document).ready(function(){initNavTree('group__q7__to__x.html','');});
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+<!-- window showing the filter options -->
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Convert 8-bit Integer value</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_support.html">Support Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga656620f957b65512ed83db03fd455ec5"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5">arm_q7_to_float</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga656620f957b65512ed83db03fd455ec5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q7 vector to floating-point vector.  <a href="#ga656620f957b65512ed83db03fd455ec5"></a><br/></td></tr>
+<tr class="separator:ga656620f957b65512ed83db03fd455ec5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabc02597fc3f01033daf43ec0547a2f78"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78">arm_q7_to_q15</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gabc02597fc3f01033daf43ec0547a2f78"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q7 vector to Q15 vector.  <a href="#gabc02597fc3f01033daf43ec0547a2f78"></a><br/></td></tr>
+<tr class="separator:gabc02597fc3f01033daf43ec0547a2f78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad8958cd3cb7f521466168b46a25b7908"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908">arm_q7_to_q31</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gad8958cd3cb7f521466168b46a25b7908"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the elements of the Q7 vector to Q31 vector.  <a href="#gad8958cd3cb7f521466168b46a25b7908"></a><br/></td></tr>
+<tr class="separator:gad8958cd3cb7f521466168b46a25b7908"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga656620f957b65512ed83db03fd455ec5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q7_to_float </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q7 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the floating-point output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (float32_t) pSrc[n] / 128;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabc02597fc3f01033daf43ec0547a2f78"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q7_to_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q7 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q15 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q15_t) pSrc[n] &lt;&lt; 8;   0 &lt;= n &lt; blockSize.    
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gad8958cd3cb7f521466168b46a25b7908"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_q7_to_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the Q7 input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the Q31 output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Description: </dt><dd></dd></dl>
+<p>The equation used for the conversion process is:</p>
+<pre>    
+        pDst[n] = (q31_t) pSrc[n] &lt;&lt; 24;   0 &lt;= n &lt; blockSize.   
+</pre> 
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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new file mode 100644
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+var group__q7__to__x =
+[
+    [ "arm_q7_to_float", "group__q7__to__x.html#ga656620f957b65512ed83db03fd455ec5", null ],
+    [ "arm_q7_to_q15", "group__q7__to__x.html#gabc02597fc3f01033daf43ec0547a2f78", null ],
+    [ "arm_q7_to_q31", "group__q7__to__x.html#gad8958cd3cb7f521466168b46a25b7908", null ]
+];
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diff --git a/Documentation/DSP/html/group__scale.html b/Documentation/DSP/html/group__scale.html
new file mode 100644
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@@ -0,0 +1,391 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<title>Vector Scale</title>
+<title>CMSIS-DSP: Vector Scale</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+<!-- Generated by Doxygen 1.8.2 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+</script>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Scale</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga3487af88b112f682ee90589cd419e123"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__scale.html#ga3487af88b112f682ee90589cd419e123">arm_scale_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> scale, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga3487af88b112f682ee90589cd419e123"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies a floating-point vector by a scalar.  <a href="#ga3487af88b112f682ee90589cd419e123"></a><br/></td></tr>
+<tr class="separator:ga3487af88b112f682ee90589cd419e123"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gafaac0e1927daffeb68a42719b53ea780"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__scale.html#gafaac0e1927daffeb68a42719b53ea780">arm_scale_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> scaleFract, int8_t shift, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gafaac0e1927daffeb68a42719b53ea780"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies a Q15 vector by a scalar.  <a href="#gafaac0e1927daffeb68a42719b53ea780"></a><br/></td></tr>
+<tr class="separator:gafaac0e1927daffeb68a42719b53ea780"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga83e36cd82bf51ce35406a199e477d47c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__scale.html#ga83e36cd82bf51ce35406a199e477d47c">arm_scale_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> scaleFract, int8_t shift, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga83e36cd82bf51ce35406a199e477d47c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies a Q31 vector by a scalar.  <a href="#ga83e36cd82bf51ce35406a199e477d47c"></a><br/></td></tr>
+<tr class="separator:ga83e36cd82bf51ce35406a199e477d47c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabc9fd3d37904c58df56492b351d21fb0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__scale.html#gabc9fd3d37904c58df56492b351d21fb0">arm_scale_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> scaleFract, int8_t shift, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gabc9fd3d37904c58df56492b351d21fb0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplies a Q7 vector by a scalar.  <a href="#gabc9fd3d37904c58df56492b351d21fb0"></a><br/></td></tr>
+<tr class="separator:gabc9fd3d37904c58df56492b351d21fb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Multiply a vector by a scalar value. For floating-point data, the algorithm used is:</p>
+<pre>        
+    pDst[n] = pSrc[n] * scale,   0 &lt;= n &lt; blockSize.        
+</pre><p>In the fixed-point Q7, Q15, and Q31 functions, <code>scale</code> is represented by a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>. The shift allows the gain of the scaling operation to exceed 1.0. The algorithm used with fixed-point data is:</p>
+<pre>        
+    pDst[n] = (pSrc[n] * scaleFract) &lt;&lt; shift,   0 &lt;= n &lt; blockSize.        
+</pre><p>The overall scale factor applied to the fixed-point data is </p>
+<pre>        
+    scale = scaleFract * 2^shift.        
+</pre><p>The functions support in-place computation allowing the source and destination pointers to reference the same memory buffer. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga3487af88b112f682ee90589cd419e123"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_scale_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>scale</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scale</td><td>scale factor to be applied </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a28">arm_graphic_equalizer_example_q31.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#a30">arm_signal_converge_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gafaac0e1927daffeb68a42719b53ea780"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_scale_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>scaleFract</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shift</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scaleFract</td><td>fractional portion of the scale value </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>number of bits to shift the result by </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format. These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga83e36cd82bf51ce35406a199e477d47c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_scale_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>scaleFract</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shift</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scaleFract</td><td>fractional portion of the scale value </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>number of bits to shift the result by </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format. These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#a24">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__graphic__equalizer__example__q31_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gabc9fd3d37904c58df56492b351d21fb0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_scale_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>&#160;</td>
+          <td class="paramname"><em>scaleFract</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shift</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">scaleFract</td><td>fractional portion of the scale value </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shift</td><td>number of bits to shift the result by </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.7 format. These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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new file mode 100644
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+var group__scale =
+[
+    [ "arm_scale_f32", "group__scale.html#ga3487af88b112f682ee90589cd419e123", null ],
+    [ "arm_scale_q15", "group__scale.html#gafaac0e1927daffeb68a42719b53ea780", null ],
+    [ "arm_scale_q31", "group__scale.html#ga83e36cd82bf51ce35406a199e477d47c", null ],
+    [ "arm_scale_q7", "group__scale.html#gabc9fd3d37904c58df56492b351d21fb0", null ]
+];
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Vector Shift</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_math.html">Basic Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaa1757e53279780107acc92cf100adb61"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html#gaa1757e53279780107acc92cf100adb61">arm_shift_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, int8_t shiftBits, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:gaa1757e53279780107acc92cf100adb61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Shifts the elements of a Q15 vector a specified number of bits.  <a href="#gaa1757e53279780107acc92cf100adb61"></a><br/></td></tr>
+<tr class="separator:gaa1757e53279780107acc92cf100adb61"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga387dd8b7b87377378280978f16cdb13d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html#ga387dd8b7b87377378280978f16cdb13d">arm_shift_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, int8_t shiftBits, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga387dd8b7b87377378280978f16cdb13d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Shifts the elements of a Q31 vector a specified number of bits.  <a href="#ga387dd8b7b87377378280978f16cdb13d"></a><br/></td></tr>
+<tr class="separator:ga387dd8b7b87377378280978f16cdb13d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga47295d08a685f7de700a48dafb4db6fb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__shift.html#ga47295d08a685f7de700a48dafb4db6fb">arm_shift_q7</a> (<a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pSrc, int8_t shiftBits, <a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *pDst, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>)</td></tr>
+<tr class="memdesc:ga47295d08a685f7de700a48dafb4db6fb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Shifts the elements of a Q7 vector a specified number of bits.  <a href="#ga47295d08a685f7de700a48dafb4db6fb"></a><br/></td></tr>
+<tr class="separator:ga47295d08a685f7de700a48dafb4db6fb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Shifts the elements of a fixed-point vector by a specified number of bits. There are separate functions for Q7, Q15, and Q31 data types. The underlying algorithm used is:</p>
+<pre>        
+    pDst[n] = pSrc[n] &lt;&lt; shift,   0 &lt;= n &lt; blockSize.        
+</pre><p>If <code>shift</code> is positive then the elements of the vector are shifted to the left. If <code>shift</code> is negative then the elements of the vector are shifted to the right.</p>
+<p>The functions support in-place computation allowing the source and destination pointers to reference the same memory buffer. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaa1757e53279780107acc92cf100adb61"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_shift_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shiftBits</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shiftBits</td><td>number of bits to shift. A positive value shifts left; a negative value shifts right. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga387dd8b7b87377378280978f16cdb13d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_shift_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shiftBits</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shiftBits</td><td>number of bits to shift. A positive value shifts left; a negative value shifts right. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="arm__math_8h.html#ad7373e53d3c2e1adfeafc8c2e9720b5c">clip_q63_to_q31()</a>.</p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga47295d08a685f7de700a48dafb4db6fb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_shift_q7 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int8_t&#160;</td>
+          <td class="paramname"><em>shiftBits</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td>
+          <td class="paramname"><em>pDst</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">shiftBits</td><td>number of bits to shift. A positive value shifts left; a negative value shifts right. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to the output vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>number of samples in the vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<dl class="section user"><dt>Conditions for optimum performance </dt><dd>Input and output buffers should be aligned by 32-bit</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b> </p>
+<dl class="section user"><dt></dt><dd>The function uses saturating arithmetic. Results outside of the allowable Q7 range [0x8 0x7F] will be saturated. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a3ebff224ad44c217fde9f530342e2960">__PACKq7</a>, <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/group__shift.js b/Documentation/DSP/html/group__shift.js
new file mode 100644
index 0000000..1b19868
--- /dev/null
+++ b/Documentation/DSP/html/group__shift.js
@@ -0,0 +1,6 @@
+var group__shift =
+[
+    [ "arm_shift_q15", "group__shift.html#gaa1757e53279780107acc92cf100adb61", null ],
+    [ "arm_shift_q31", "group__shift.html#ga387dd8b7b87377378280978f16cdb13d", null ],
+    [ "arm_shift_q7", "group__shift.html#ga47295d08a685f7de700a48dafb4db6fb", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/group__sin.html b/Documentation/DSP/html/group__sin.html
new file mode 100644
index 0000000..8916259
--- /dev/null
+++ b/Documentation/DSP/html/group__sin.html
@@ -0,0 +1,236 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Sine</title>
+<title>CMSIS-DSP: Sine</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group__sin.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Sine</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_fast_math.html">Fast Math Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gae164899c4a3fc0e946dc5d55555fe541"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#gae164899c4a3fc0e946dc5d55555fe541">arm_sin_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> x)</td></tr>
+<tr class="memdesc:gae164899c4a3fc0e946dc5d55555fe541"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric sine function for floating-point data.  <a href="#gae164899c4a3fc0e946dc5d55555fe541"></a><br/></td></tr>
+<tr class="separator:gae164899c4a3fc0e946dc5d55555fe541"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee">arm_sin_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> x)</td></tr>
+<tr class="memdesc:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric sine function for Q15 data.  <a href="#ga1fc6d6640be6cfa688a8bea0a48397ee"></a><br/></td></tr>
+<tr class="separator:ga1fc6d6640be6cfa688a8bea0a48397ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga57aade7d8892585992cdc6375bd82f9c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__sin.html#ga57aade7d8892585992cdc6375bd82f9c">arm_sin_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> x)</td></tr>
+<tr class="memdesc:ga57aade7d8892585992cdc6375bd82f9c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fast approximation to the trigonometric sine function for Q31 data.  <a href="#ga57aade7d8892585992cdc6375bd82f9c"></a><br/></td></tr>
+<tr class="separator:ga57aade7d8892585992cdc6375bd82f9c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Computes the trigonometric sine function using a combination of table lookup and linear interpolation. There are separate functions for Q15, Q31, and floating-point data types. The input to the floating-point version is in radians while the fixed-point Q15 and Q31 have a scaled input with the range [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a value of 2*pi wraps around to 0.</p>
+<p>The implementation is based on table lookup using 256 values together with linear interpolation. The steps used are:</p>
+<ol type="1">
+<li>Calculation of the nearest integer table index</li>
+<li>Compute the fractional portion (fract) of the table index.</li>
+<li>The final result equals <code>(1.0f-fract)*a + fract*b;</code></li>
+</ol>
+<p>where </p>
+<pre>
+   b=Table[index+0];
+   c=Table[index+1];
+</pre> <h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gae164899c4a3fc0e946dc5d55555fe541"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_sin_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sin(x). </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#a12">arm_linear_interp_example_f32.c</a>, and <a class="el" href="arm_sin_cos_example_f32_8c-example.html#a12">arm_sin_cos_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__math_8h.html#afcb9147c96853bea484cfc2dde07463d">FAST_MATH_TABLE_SIZE</a>, and <a class="el" href="arm__common__tables_8c.html#a1dec82d596780f1a66ef4f76f137c1d9">sinTable_f32</a>.</p>
+
+<p>Referenced by <a class="el" href="arm__linear__interp__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga1fc6d6640be6cfa688a8bea0a48397ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_sin_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sin(x).</dd></dl>
+<p>The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a34716b73c631e65e8dd855e08384ecb2">FAST_MATH_Q15_SHIFT</a>, and <a class="el" href="arm__common__tables_8c.html#a9cbcfe313f61add745ebfeddb4fecd55">sinTable_q15</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga57aade7d8892585992cdc6375bd82f9c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_sin_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Scaled input value in radians. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sin(x).</dd></dl>
+<p>The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). </p>
+
+<p>References <a class="el" href="arm__math_8h.html#a4268f77b1811a0c7fc2532a0bf6108b0">FAST_MATH_Q31_SHIFT</a>, and <a class="el" href="arm__common__tables_8c.html#a8bfccee9e1c0042cf4a765f4b19d097d">sinTable_q31</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/group__sin.js b/Documentation/DSP/html/group__sin.js
new file mode 100644
index 0000000..11e645e
--- /dev/null
+++ b/Documentation/DSP/html/group__sin.js
@@ -0,0 +1,6 @@
+var group__sin =
+[
+    [ "arm_sin_f32", "group__sin.html#gae164899c4a3fc0e946dc5d55555fe541", null ],
+    [ "arm_sin_q15", "group__sin.html#ga1fc6d6640be6cfa688a8bea0a48397ee", null ],
+    [ "arm_sin_q31", "group__sin.html#ga57aade7d8892585992cdc6375bd82f9c", null ]
+];
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+<title>Variance</title>
+<title>CMSIS-DSP: Variance</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+
+<div class="header">
+  <div class="summary">
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Variance</div>  </div>
+<div class="ingroups"><a class="el" href="group__group_stats.html">Statistics Functions</a></div></div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga393f26c5a3bfa05624fb8d32232a6d96"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96">arm_var_f32</a> (<a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga393f26c5a3bfa05624fb8d32232a6d96"><td class="mdescLeft">&#160;</td><td class="mdescRight">Variance of the elements of a floating-point vector.  <a href="#ga393f26c5a3bfa05624fb8d32232a6d96"></a><br/></td></tr>
+<tr class="separator:ga393f26c5a3bfa05624fb8d32232a6d96"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga79dce009ed2de28a125aeb3f19631654"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#ga79dce009ed2de28a125aeb3f19631654">arm_var_q15</a> (<a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *pResult)</td></tr>
+<tr class="memdesc:ga79dce009ed2de28a125aeb3f19631654"><td class="mdescLeft">&#160;</td><td class="mdescRight">Variance of the elements of a Q15 vector.  <a href="#ga79dce009ed2de28a125aeb3f19631654"></a><br/></td></tr>
+<tr class="separator:ga79dce009ed2de28a125aeb3f19631654"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac02873f1c2cc80adfd799305f0e6465d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__variance.html#gac02873f1c2cc80adfd799305f0e6465d">arm_var_q31</a> (<a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pSrc, uint32_t <a class="el" href="arm__variance__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *pResult)</td></tr>
+<tr class="memdesc:gac02873f1c2cc80adfd799305f0e6465d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Variance of the elements of a Q31 vector.  <a href="#gac02873f1c2cc80adfd799305f0e6465d"></a><br/></td></tr>
+<tr class="separator:gac02873f1c2cc80adfd799305f0e6465d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Calculates the variance of the elements in the input vector. The underlying algorithm is used:</p>
+<pre>    
+        Result = (sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1)</pre><pre>        where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]</pre><pre>                        sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]   
+</pre><p>There are separate functions for floating point, Q31, and Q15 data types. </p>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga393f26c5a3bfa05624fb8d32232a6d96"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_var_f32 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>variance value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none. </dd></dl>
+<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#a22">arm_class_marks_example_f32.c</a>.</dd>
+</dl>
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>, and <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#acc9290716b3c97381ce52d14b4b01681">mean</a>.</p>
+
+<p>Referenced by <a class="el" href="_a_r_m_2arm__class__marks__example__f32_8c.html#a196718f834091385d38586a0ce4009dc">main()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga79dce009ed2de28a125aeb3f19631654"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_var_q15 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>variance value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using a 64-bit internal accumulator. The input is represented in 1.15 format. Intermediate multiplication yields a 2.30 format, and this result is added without saturation to a 64-bit accumulator in 34.30 format. With 33 guard bits in the accumulator, there is no risk of overflow, and the full precision of the intermediate multiplication is preserved. Finally, the 34.30 result is truncated to 34.15 format by discarding the lower 15 bits, and then saturated to yield a result in 1.15 format. </dd></dl>
+
+<p>References <a class="el" href="arm__math_8h.html#a9de2e0a5785be82866bcb96012282248">__SIMD32</a>, and <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gac02873f1c2cc80adfd799305f0e6465d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void arm_var_q31 </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pSrc</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>blockSize</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td>
+          <td class="paramname"><em>pResult</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to the input vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">blockSize</td><td>length of the input vector </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">*pResult</td><td>variance value returned here </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>none.</dd></dl>
+<p><b>Scaling and Overflow Behavior:</b></p>
+<dl class="section user"><dt></dt><dd>The function is implemented using an internal 64-bit accumulator. The input is represented in 1.31 format, which is then downshifted by 8 bits which yields 1.23, and intermediate multiplication yields a 2.46 format. The accumulator maintains full precision of the intermediate multiplication results, but provides only a 16 guard bits. There is no saturation on intermediate additions. If the accumulator overflows it wraps around and distorts the result. In order to avoid overflows completely the input signal must be scaled down by log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. After division, internal variables should be Q18.46 Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. </dd></dl>
+
+<p>References <a class="el" href="arm__fir__example__f32_8c.html#ab6558f40a619c2502fbc24c880fd4fb0">blockSize</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
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new file mode 100644
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+[
+    [ "arm_var_f32", "group__variance.html#ga393f26c5a3bfa05624fb8d32232a6d96", null ],
+    [ "arm_var_q15", "group__variance.html#ga79dce009ed2de28a125aeb3f19631654", null ],
+    [ "arm_var_q31", "group__variance.html#gac02873f1c2cc80adfd799305f0e6465d", null ]
+];
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">CMSIS DSP Software Library </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><h2>Introduction</h2>
+<p>This user manual describes the CMSIS DSP software library, a suite of common signal processing functions for use on Cortex-M processor based devices.</p>
+<p>The library is divided into a number of functions each covering a specific category:</p>
+<ul>
+<li>Basic math functions</li>
+<li>Fast math functions</li>
+<li>Complex math functions</li>
+<li>Filters</li>
+<li>Matrix functions</li>
+<li>Transforms</li>
+<li>Motor control functions</li>
+<li>Statistical functions</li>
+<li>Support functions</li>
+<li>Interpolation functions</li>
+</ul>
+<p>The library has separate functions for operating on 8-bit integers, 16-bit integers, 32-bit integer and 32-bit floating-point values.</p>
+<h2>Using the Library</h2>
+<p>The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.</p>
+<ul>
+<li>arm_cortexM7lfdp_math.lib (Little endian and Double Precision Floating Point Unit on Cortex-M7)</li>
+<li>arm_cortexM7bfdp_math.lib (Big endian and Double Precision Floating Point Unit on Cortex-M7)</li>
+<li>arm_cortexM7lfsp_math.lib (Little endian and Single Precision Floating Point Unit on Cortex-M7)</li>
+<li>arm_cortexM7bfsp_math.lib (Big endian and Single Precision Floating Point Unit on Cortex-M7)</li>
+<li>arm_cortexM7l_math.lib (Little endian on Cortex-M7)</li>
+<li>arm_cortexM7b_math.lib (Big endian on Cortex-M7)</li>
+<li>arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)</li>
+<li>arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)</li>
+<li>arm_cortexM4l_math.lib (Little endian on Cortex-M4)</li>
+<li>arm_cortexM4b_math.lib (Big endian on Cortex-M4)</li>
+<li>arm_cortexM3l_math.lib (Little endian on Cortex-M3)</li>
+<li>arm_cortexM3b_math.lib (Big endian on Cortex-M3)</li>
+<li>arm_cortexM0l_math.lib (Little endian on Cortex-M0 / CortexM0+)</li>
+<li>arm_cortexM0b_math.lib (Big endian on Cortex-M0 / CortexM0+)</li>
+</ul>
+<p>The library functions are declared in the public file <code><a class="el" href="arm__math_8h.html">arm_math.h</a></code> which is placed in the <code>Include</code> folder. Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single public header file <code> <a class="el" href="arm__math_8h.html">arm_math.h</a></code> for Cortex-M7/M4/M3/M0/M0+ with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. Define the appropriate pre processor MACRO ARM_MATH_CM7 or ARM_MATH_CM4 or ARM_MATH_CM3 or ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.</p>
+<h2>Examples</h2>
+<p>The library ships with a number of examples which demonstrate how to use the library functions.</p>
+<h2>Toolchain Support</h2>
+<p>The library has been developed and tested with MDK-ARM version 5.14.0.0 The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.</p>
+<h2>Building the Library</h2>
+<p>The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the <code>CMSIS\DSP_Lib\Source\ARM</code> folder.</p>
+<ul>
+<li>arm_cortexM_math.uvprojx</li>
+</ul>
+<p>The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above.</p>
+<h2>Pre-processor Macros</h2>
+<p>Each library project have differant pre-processor macros.</p>
+<ul>
+<li>UNALIGNED_SUPPORT_DISABLE:</li>
+</ul>
+<p>Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access</p>
+<ul>
+<li>ARM_MATH_BIG_ENDIAN:</li>
+</ul>
+<p>Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.</p>
+<ul>
+<li>ARM_MATH_MATRIX_CHECK:</li>
+</ul>
+<p>Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices</p>
+<ul>
+<li>ARM_MATH_ROUNDING:</li>
+</ul>
+<p>Define macro ARM_MATH_ROUNDING for rounding on support functions</p>
+<ul>
+<li>ARM_MATH_CMx:</li>
+</ul>
+<p>Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and ARM_MATH_CM7 for building the library on cortex-M7.</p>
+<ul>
+<li>__FPU_PRESENT:</li>
+</ul>
+<p>Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries</p>
+<hr/>
+ <h2>CMSIS-DSP in ARM::CMSIS Pack</h2>
+<p>The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories: </p>
+<table class="doxtable">
+<tr>
+<th>File/Folder </th><th>Content </th></tr>
+<tr>
+<td><b>CMSIS\Documentation\DSP</b> </td><td>This documentation </td></tr>
+<tr>
+<td><b>CMSIS\DSP_Lib</b> </td><td>Software license agreement (license.txt) </td></tr>
+<tr>
+<td><b>CMSIS\DSP_Lib\Examples</b> </td><td>Example projects demonstrating the usage of the library functions </td></tr>
+<tr>
+<td><b>CMSIS\DSP_Lib\Source</b> </td><td>Source files for rebuilding the library </td></tr>
+</table>
+<hr/>
+ <h2>Revision History of CMSIS-DSP</h2>
+<p>Please refer to <a class="el" href="_change_log_pg.html">Change Log</a>.</p>
+<h2>Copyright Notice</h2>
+<p>Copyright (C) 2010-2015 ARM Limited. All rights reserved. </p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+	-->
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+  </ul>
+</div>
+</body>
+</html>
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f.grep(f.timers,function(b){return a===b.elem}).length});var cw=/^t(?:able|d|h)$/i,cx=/^(?:body|html)$/i;"getBoundingClientRect"in c.documentElement?f.fn.offset=function(a){var b=this[0],c;if(a)return this.each(function(b){f.offset.setOffset(this,a,b)});if(!b||!b.ownerDocument)return null;if(b===b.ownerDocument.body)return f.offset.bodyOffset(b);try{c=b.getBoundingClientRect()}catch(d){}var e=b.ownerDocument,g=e.documentElement;if(!c||!f.contains(g,b))return c?{top:c.top,left:c.left}:{top:0,left:0};var h=e.body,i=cy(e),j=g.clientTop||h.clientTop||0,k=g.clientLeft||h.clientLeft||0,l=i.pageYOffset||f.support.boxModel&&g.scrollTop||h.scrollTop,m=i.pageXOffset||f.support.boxModel&&g.scrollLeft||h.scrollLeft,n=c.top+l-j,o=c.left+m-k;return{top:n,left:o}}:f.fn.offset=function(a){var b=this[0];if(a)return this.each(function(b){f.offset.setOffset(this,a,b)});if(!b||!b.ownerDocument)return null;if(b===b.ownerDocument.body)return f.offset.bodyOffset(b);var c,d=b.offsetParent,e=b,g=b.ownerDocument,h=g.documentElement,i=g.body,j=g.defaultView,k=j?j.getComputedStyle(b,null):b.currentStyle,l=b.offsetTop,m=b.offsetLeft;while((b=b.parentNode)&&b!==i&&b!==h){if(f.support.fixedPosition&&k.position==="fixed")break;c=j?j.getComputedStyle(b,null):b.currentStyle,l-=b.scrollTop,m-=b.scrollLeft,b===d&&(l+=b.offsetTop,m+=b.offsetLeft,f.support.doesNotAddBorder&&(!f.support.doesAddBorderForTableAndCells||!cw.test(b.nodeName))&&(l+=parseFloat(c.borderTopWidth)||0,m+=parseFloat(c.borderLeftWidth)||0),e=d,d=b.offsetParent),f.support.subtractsBorderForOverflowNotVisible&&c.overflow!=="visible"&&(l+=parseFloat(c.borderTopWidth)||0,m+=parseFloat(c.borderLeftWidth)||0),k=c}if(k.position==="relative"||k.position==="static")l+=i.offsetTop,m+=i.offsetLeft;f.support.fixedPosition&&k.position==="fixed"&&(l+=Math.max(h.scrollTop,i.scrollTop),m+=Math.max(h.scrollLeft,i.scrollLeft));return{top:l,left:m}},f.offset={bodyOffset:function(a){var b=a.offsetTop,c=a.offsetLeft;f.support.doesNotIncludeMarginInBodyOffset&&(b+=parseFloat(f.css(a,"marginTop"))||0,c+=parseFloat(f.css(a,"marginLeft"))||0);return{top:b,left:c}},setOffset:function(a,b,c){var d=f.css(a,"position");d==="static"&&(a.style.position="relative");var e=f(a),g=e.offset(),h=f.css(a,"top"),i=f.css(a,"left"),j=(d==="absolute"||d==="fixed")&&f.inArray("auto",[h,i])>-1,k={},l={},m,n;j?(l=e.position(),m=l.top,n=l.left):(m=parseFloat(h)||0,n=parseFloat(i)||0),f.isFunction(b)&&(b=b.call(a,c,g)),b.top!=null&&(k.top=b.top-g.top+m),b.left!=null&&(k.left=b.left-g.left+n),"using"in b?b.using.call(a,k):e.css(k)}},f.fn.extend({position:function(){if(!this[0])return null;var a=this[0],b=this.offsetParent(),c=this.offset(),d=cx.test(b[0].nodeName)?{top:0,left:0}:b.offset();c.top-=parseFloat(f.css(a,"marginTop"))||0,c.left-=parseFloat(f.css(a,"marginLeft"))||0,d.top+=parseFloat(f.css(b[0],"borderTopWidth"))||0,d.left+=parseFloat(f.css(b[0],"borderLeftWidth"))||0;return{top:c.top-d.top,left:c.left-d.left}},offsetParent:function(){return this.map(function(){var a=this.offsetParent||c.body;while(a&&!cx.test(a.nodeName)&&f.css(a,"position")==="static")a=a.offsetParent;return a})}}),f.each(["Left","Top"],function(a,c){var d="scroll"+c;f.fn[d]=function(c){var e,g;if(c===b){e=this[0];if(!e)return null;g=cy(e);return g?"pageXOffset"in g?g[a?"pageYOffset":"pageXOffset"]:f.support.boxModel&&g.document.documentElement[d]||g.document.body[d]:e[d]}return this.each(function(){g=cy(this),g?g.scrollTo(a?f(g).scrollLeft():c,a?c:f(g).scrollTop()):this[d]=c})}}),f.each(["Height","Width"],function(a,c){var d=c.toLowerCase();f.fn["inner"+c]=function(){var a=this[0];return a?a.style?parseFloat(f.css(a,d,"padding")):this[d]():null},f.fn["outer"+c]=function(a){var b=this[0];return b?b.style?parseFloat(f.css(b,d,a?"margin":"border")):this[d]():null},f.fn[d]=function(a){var e=this[0];if(!e)return a==null?null:this;if(f.isFunction(a))return this.each(function(b){var c=f(this);c[d](a.call(this,b,c[d]()))});if(f.isWindow(e)){var g=e.document.documentElement["client"+c],h=e.document.body;return e.document.compatMode==="CSS1Compat"&&g||h&&h["client"+c]||g}if(e.nodeType===9)return Math.max(e.documentElement["client"+c],e.body["scroll"+c],e.documentElement["scroll"+c],e.body["offset"+c],e.documentElement["offset"+c]);if(a===b){var i=f.css(e,d),j=parseFloat(i);return f.isNumeric(j)?j:i}return this.css(d,typeof a=="string"?a:a+"px")}}),a.jQuery=a.$=f,typeof define=="function"&&define.amd&&define.amd.jQuery&&define("jquery",[],function(){return f})})(window);
+/*!
+ * jQuery UI 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI
+ */
+(function(a,b){function d(b){return!a(b).parents().andSelf().filter(function(){return a.curCSS(this,"visibility")==="hidden"||a.expr.filters.hidden(this)}).length}function c(b,c){var e=b.nodeName.toLowerCase();if("area"===e){var f=b.parentNode,g=f.name,h;if(!b.href||!g||f.nodeName.toLowerCase()!=="map")return!1;h=a("img[usemap=#"+g+"]")[0];return!!h&&d(h)}return(/input|select|textarea|button|object/.test(e)?!b.disabled:"a"==e?b.href||c:c)&&d(b)}a.ui=a.ui||{};a.ui.version||(a.extend(a.ui,{version:"1.8.18",keyCode:{ALT:18,BACKSPACE:8,CAPS_LOCK:20,COMMA:188,COMMAND:91,COMMAND_LEFT:91,COMMAND_RIGHT:93,CONTROL:17,DELETE:46,DOWN:40,END:35,ENTER:13,ESCAPE:27,HOME:36,INSERT:45,LEFT:37,MENU:93,NUMPAD_ADD:107,NUMPAD_DECIMAL:110,NUMPAD_DIVIDE:111,NUMPAD_ENTER:108,NUMPAD_MULTIPLY:106,NUMPAD_SUBTRACT:109,PAGE_DOWN:34,PAGE_UP:33,PERIOD:190,RIGHT:39,SHIFT:16,SPACE:32,TAB:9,UP:38,WINDOWS:91}}),a.fn.extend({propAttr:a.fn.prop||a.fn.attr,_focus:a.fn.focus,focus:function(b,c){return typeof b=="number"?this.each(function(){var d=this;setTimeout(function(){a(d).focus(),c&&c.call(d)},b)}):this._focus.apply(this,arguments)},scrollParent:function(){var b;a.browser.msie&&/(static|relative)/.test(this.css("position"))||/absolute/.test(this.css("position"))?b=this.parents().filter(function(){return/(relative|absolute|fixed)/.test(a.curCSS(this,"position",1))&&/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0):b=this.parents().filter(function(){return/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0);return/fixed/.test(this.css("position"))||!b.length?a(document):b},zIndex:function(c){if(c!==b)return this.css("zIndex",c);if(this.length){var d=a(this[0]),e,f;while(d.length&&d[0]!==document){e=d.css("position");if(e==="absolute"||e==="relative"||e==="fixed"){f=parseInt(d.css("zIndex"),10);if(!isNaN(f)&&f!==0)return f}d=d.parent()}}return 0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(a){a.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}}),a.each(["Width","Height"],function(c,d){function h(b,c,d,f){a.each(e,function(){c-=parseFloat(a.curCSS(b,"padding"+this,!0))||0,d&&(c-=parseFloat(a.curCSS(b,"border"+this+"Width",!0))||0),f&&(c-=parseFloat(a.curCSS(b,"margin"+this,!0))||0)});return c}var e=d==="Width"?["Left","Right"]:["Top","Bottom"],f=d.toLowerCase(),g={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};a.fn["inner"+d]=function(c){if(c===b)return g["inner"+d].call(this);return this.each(function(){a(this).css(f,h(this,c)+"px")})},a.fn["outer"+d]=function(b,c){if(typeof b!="number")return g["outer"+d].call(this,b);return this.each(function(){a(this).css(f,h(this,b,!0,c)+"px")})}}),a.extend(a.expr[":"],{data:function(b,c,d){return!!a.data(b,d[3])},focusable:function(b){return c(b,!isNaN(a.attr(b,"tabindex")))},tabbable:function(b){var d=a.attr(b,"tabindex"),e=isNaN(d);return(e||d>=0)&&c(b,!e)}}),a(function(){var b=document.body,c=b.appendChild(c=document.createElement("div"));c.offsetHeight,a.extend(c.style,{minHeight:"100px",height:"auto",padding:0,borderWidth:0}),a.support.minHeight=c.offsetHeight===100,a.support.selectstart="onselectstart"in c,b.removeChild(c).style.display="none"}),a.extend(a.ui,{plugin:{add:function(b,c,d){var e=a.ui[b].prototype;for(var f in d)e.plugins[f]=e.plugins[f]||[],e.plugins[f].push([c,d[f]])},call:function(a,b,c){var d=a.plugins[b];if(!!d&&!!a.element[0].parentNode)for(var e=0;e<d.length;e++)a.options[d[e][0]]&&d[e][1].apply(a.element,c)}},contains:function(a,b){return document.compareDocumentPosition?a.compareDocumentPosition(b)&16:a!==b&&a.contains(b)},hasScroll:function(b,c){if(a(b).css("overflow")==="hidden")return!1;var d=c&&c==="left"?"scrollLeft":"scrollTop",e=!1;if(b[d]>0)return!0;b[d]=1,e=b[d]>0,b[d]=0;return e},isOverAxis:function(a,b,c){return a>b&&a<b+c},isOver:function(b,c,d,e,f,g){return a.ui.isOverAxis(b,d,f)&&a.ui.isOverAxis(c,e,g)}}))})(jQuery);
+/*!
+ * jQuery UI Widget 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Widget
+ */
+(function(a,b){if(a.cleanData){var c=a.cleanData;a.cleanData=function(b){for(var d=0,e;(e=b[d])!=null;d++)try{a(e).triggerHandler("remove")}catch(f){}c(b)}}else{var d=a.fn.remove;a.fn.remove=function(b,c){return this.each(function(){c||(!b||a.filter(b,[this]).length)&&a("*",this).add([this]).each(function(){try{a(this).triggerHandler("remove")}catch(b){}});return d.call(a(this),b,c)})}}a.widget=function(b,c,d){var e=b.split(".")[0],f;b=b.split(".")[1],f=e+"-"+b,d||(d=c,c=a.Widget),a.expr[":"][f]=function(c){return!!a.data(c,b)},a[e]=a[e]||{},a[e][b]=function(a,b){arguments.length&&this._createWidget(a,b)};var g=new c;g.options=a.extend(!0,{},g.options),a[e][b].prototype=a.extend(!0,g,{namespace:e,widgetName:b,widgetEventPrefix:a[e][b].prototype.widgetEventPrefix||b,widgetBaseClass:f},d),a.widget.bridge(b,a[e][b])},a.widget.bridge=function(c,d){a.fn[c]=function(e){var f=typeof e=="string",g=Array.prototype.slice.call(arguments,1),h=this;e=!f&&g.length?a.extend.apply(null,[!0,e].concat(g)):e;if(f&&e.charAt(0)==="_")return h;f?this.each(function(){var d=a.data(this,c),f=d&&a.isFunction(d[e])?d[e].apply(d,g):d;if(f!==d&&f!==b){h=f;return!1}}):this.each(function(){var b=a.data(this,c);b?b.option(e||{})._init():a.data(this,c,new d(e,this))});return h}},a.Widget=function(a,b){arguments.length&&this._createWidget(a,b)},a.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:!1},_createWidget:function(b,c){a.data(c,this.widgetName,this),this.element=a(c),this.options=a.extend(!0,{},this.options,this._getCreateOptions(),b);var d=this;this.element.bind("remove."+this.widgetName,function(){d.destroy()}),this._create(),this._trigger("create"),this._init()},_getCreateOptions:function(){return a.metadata&&a.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName),this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled "+"ui-state-disabled")},widget:function(){return this.element},option:function(c,d){var e=c;if(arguments.length===0)return a.extend({},this.options);if(typeof c=="string"){if(d===b)return this.options[c];e={},e[c]=d}this._setOptions(e);return this},_setOptions:function(b){var c=this;a.each(b,function(a,b){c._setOption(a,b)});return this},_setOption:function(a,b){this.options[a]=b,a==="disabled"&&this.widget()[b?"addClass":"removeClass"](this.widgetBaseClass+"-disabled"+" "+"ui-state-disabled").attr("aria-disabled",b);return this},enable:function(){return this._setOption("disabled",!1)},disable:function(){return this._setOption("disabled",!0)},_trigger:function(b,c,d){var e,f,g=this.options[b];d=d||{},c=a.Event(c),c.type=(b===this.widgetEventPrefix?b:this.widgetEventPrefix+b).toLowerCase(),c.target=this.element[0],f=c.originalEvent;if(f)for(e in f)e in c||(c[e]=f[e]);this.element.trigger(c,d);return!(a.isFunction(g)&&g.call(this.element[0],c,d)===!1||c.isDefaultPrevented())}}})(jQuery);
+/*!
+ * jQuery UI Mouse 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Mouse
+ *
+ * Depends:
+ *	jquery.ui.widget.js
+ */
+(function(a,b){var c=!1;a(document).mouseup(function(a){c=!1}),a.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var b=this;this.element.bind("mousedown."+this.widgetName,function(a){return b._mouseDown(a)}).bind("click."+this.widgetName,function(c){if(!0===a.data(c.target,b.widgetName+".preventClickEvent")){a.removeData(c.target,b.widgetName+".preventClickEvent"),c.stopImmediatePropagation();return!1}}),this.started=!1},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(b){if(!c){this._mouseStarted&&this._mouseUp(b),this._mouseDownEvent=b;var d=this,e=b.which==1,f=typeof this.options.cancel=="string"&&b.target.nodeName?a(b.target).closest(this.options.cancel).length:!1;if(!e||f||!this._mouseCapture(b))return!0;this.mouseDelayMet=!this.options.delay,this.mouseDelayMet||(this._mouseDelayTimer=setTimeout(function(){d.mouseDelayMet=!0},this.options.delay));if(this._mouseDistanceMet(b)&&this._mouseDelayMet(b)){this._mouseStarted=this._mouseStart(b)!==!1;if(!this._mouseStarted){b.preventDefault();return!0}}!0===a.data(b.target,this.widgetName+".preventClickEvent")&&a.removeData(b.target,this.widgetName+".preventClickEvent"),this._mouseMoveDelegate=function(a){return d._mouseMove(a)},this._mouseUpDelegate=function(a){return d._mouseUp(a)},a(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate),b.preventDefault(),c=!0;return!0}},_mouseMove:function(b){if(a.browser.msie&&!(document.documentMode>=9)&&!b.button)return this._mouseUp(b);if(this._mouseStarted){this._mouseDrag(b);return b.preventDefault()}this._mouseDistanceMet(b)&&this._mouseDelayMet(b)&&(this._mouseStarted=this._mouseStart(this._mouseDownEvent,b)!==!1,this._mouseStarted?this._mouseDrag(b):this._mouseUp(b));return!this._mouseStarted},_mouseUp:function(b){a(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate),this._mouseStarted&&(this._mouseStarted=!1,b.target==this._mouseDownEvent.target&&a.data(b.target,this.widgetName+".preventClickEvent",!0),this._mouseStop(b));return!1},_mouseDistanceMet:function(a){return Math.max(Math.abs(this._mouseDownEvent.pageX-a.pageX),Math.abs(this._mouseDownEvent.pageY-a.pageY))>=this.options.distance},_mouseDelayMet:function(a){return this.mouseDelayMet},_mouseStart:function(a){},_mouseDrag:function(a){},_mouseStop:function(a){},_mouseCapture:function(a){return!0}})})(jQuery);
+/*
+ * jQuery UI Resizable 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Resizables
+ *
+ * Depends:
+ *	jquery.ui.core.js
+ *	jquery.ui.mouse.js
+ *	jquery.ui.widget.js
+ */
+(function(a,b){a.widget("ui.resizable",a.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:!1,animate:!1,animateDuration:"slow",animateEasing:"swing",aspectRatio:!1,autoHide:!1,containment:!1,ghost:!1,grid:!1,handles:"e,s,se",helper:!1,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1e3},_create:function(){var b=this,c=this.options;this.element.addClass("ui-resizable"),a.extend(this,{_aspectRatio:!!c.aspectRatio,aspectRatio:c.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:c.helper||c.ghost||c.animate?c.helper||"ui-resizable-helper":null}),this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)&&(this.element.wrap(a('<div class="ui-wrapper" style="overflow: hidden;"></div>').css({position:this.element.css("position"),width:this.element.outerWidth(),height:this.element.outerHeight(),top:this.element.css("top"),left:this.element.css("left")})),this.element=this.element.parent().data("resizable",this.element.data("resizable")),this.elementIsWrapper=!0,this.element.css({marginLeft:this.originalElement.css("marginLeft"),marginTop:this.originalElement.css("marginTop"),marginRight:this.originalElement.css("marginRight"),marginBottom:this.originalElement.css("marginBottom")}),this.originalElement.css({marginLeft:0,marginTop:0,marginRight:0,marginBottom:0}),this.originalResizeStyle=this.originalElement.css("resize"),this.originalElement.css("resize","none"),this._proportionallyResizeElements.push(this.originalElement.css({position:"static",zoom:1,display:"block"})),this.originalElement.css({margin:this.originalElement.css("margin")}),this._proportionallyResize()),this.handles=c.handles||(a(".ui-resizable-handle",this.element).length?{n:".ui-resizable-n",e:".ui-resizable-e",s:".ui-resizable-s",w:".ui-resizable-w",se:".ui-resizable-se",sw:".ui-resizable-sw",ne:".ui-resizable-ne",nw:".ui-resizable-nw"}:"e,s,se");if(this.handles.constructor==String){this.handles=="all"&&(this.handles="n,e,s,w,se,sw,ne,nw");var d=this.handles.split(",");this.handles={};for(var e=0;e<d.length;e++){var f=a.trim(d[e]),g="ui-resizable-"+f,h=a('<div class="ui-resizable-handle '+g+'"></div>');/sw|se|ne|nw/.test(f)&&h.css({zIndex:++c.zIndex}),"se"==f&&h.addClass("ui-icon ui-icon-gripsmall-diagonal-se"),this.handles[f]=".ui-resizable-"+f,this.element.append(h)}}this._renderAxis=function(b){b=b||this.element;for(var c in this.handles){this.handles[c].constructor==String&&(this.handles[c]=a(this.handles[c],this.element).show());if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var d=a(this.handles[c],this.element),e=0;e=/sw|ne|nw|se|n|s/.test(c)?d.outerHeight():d.outerWidth();var f=["padding",/ne|nw|n/.test(c)?"Top":/se|sw|s/.test(c)?"Bottom":/^e$/.test(c)?"Right":"Left"].join("");b.css(f,e),this._proportionallyResize()}if(!a(this.handles[c]).length)continue}},this._renderAxis(this.element),this._handles=a(".ui-resizable-handle",this.element).disableSelection(),this._handles.mouseover(function(){if(!b.resizing){if(this.className)var a=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i);b.axis=a&&a[1]?a[1]:"se"}}),c.autoHide&&(this._handles.hide(),a(this.element).addClass("ui-resizable-autohide").hover(function(){c.disabled||(a(this).removeClass("ui-resizable-autohide"),b._handles.show())},function(){c.disabled||b.resizing||(a(this).addClass("ui-resizable-autohide"),b._handles.hide())})),this._mouseInit()},destroy:function(){this._mouseDestroy();var b=function(b){a(b).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){b(this.element);var c=this.element;c.after(this.originalElement.css({position:c.css("position"),width:c.outerWidth(),height:c.outerHeight(),top:c.css("top"),left:c.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle),b(this.originalElement);return this},_mouseCapture:function(b){var c=!1;for(var d in this.handles)a(this.handles[d])[0]==b.target&&(c=!0);return!this.options.disabled&&c},_mouseStart:function(b){var d=this.options,e=this.element.position(),f=this.element;this.resizing=!0,this.documentScroll={top:a(document).scrollTop(),left:a(document).scrollLeft()},(f.is(".ui-draggable")||/absolute/.test(f.css("position")))&&f.css({position:"absolute",top:e.top,left:e.left}),this._renderProxy();var g=c(this.helper.css("left")),h=c(this.helper.css("top"));d.containment&&(g+=a(d.containment).scrollLeft()||0,h+=a(d.containment).scrollTop()||0),this.offset=this.helper.offset(),this.position={left:g,top:h},this.size=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalSize=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalPosition={left:g,top:h},this.sizeDiff={width:f.outerWidth()-f.width(),height:f.outerHeight()-f.height()},this.originalMousePosition={left:b.pageX,top:b.pageY},this.aspectRatio=typeof d.aspectRatio=="number"?d.aspectRatio:this.originalSize.width/this.originalSize.height||1;var i=a(".ui-resizable-"+this.axis).css("cursor");a("body").css("cursor",i=="auto"?this.axis+"-resize":i),f.addClass("ui-resizable-resizing"),this._propagate("start",b);return!0},_mouseDrag:function(b){var c=this.helper,d=this.options,e={},f=this,g=this.originalMousePosition,h=this.axis,i=b.pageX-g.left||0,j=b.pageY-g.top||0,k=this._change[h];if(!k)return!1;var l=k.apply(this,[b,i,j]),m=a.browser.msie&&a.browser.version<7,n=this.sizeDiff;this._updateVirtualBoundaries(b.shiftKey);if(this._aspectRatio||b.shiftKey)l=this._updateRatio(l,b);l=this._respectSize(l,b),this._propagate("resize",b),c.css({top:this.position.top+"px",left:this.position.left+"px",width:this.size.width+"px",height:this.size.height+"px"}),!this._helper&&this._proportionallyResizeElements.length&&this._proportionallyResize(),this._updateCache(l),this._trigger("resize",b,this.ui());return!1},_mouseStop:function(b){this.resizing=!1;var c=this.options,d=this;if(this._helper){var e=this._proportionallyResizeElements,f=e.length&&/textarea/i.test(e[0].nodeName),g=f&&a.ui.hasScroll(e[0],"left")?0:d.sizeDiff.height,h=f?0:d.sizeDiff.width,i={width:d.helper.width()-h,height:d.helper.height()-g},j=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,k=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;c.animate||this.element.css(a.extend(i,{top:k,left:j})),d.helper.height(d.size.height),d.helper.width(d.size.width),this._helper&&!c.animate&&this._proportionallyResize()}a("body").css("cursor","auto"),this.element.removeClass("ui-resizable-resizing"),this._propagate("stop",b),this._helper&&this.helper.remove();return!1},_updateVirtualBoundaries:function(a){var b=this.options,c,e,f,g,h;h={minWidth:d(b.minWidth)?b.minWidth:0,maxWidth:d(b.maxWidth)?b.maxWidth:Infinity,minHeight:d(b.minHeight)?b.minHeight:0,maxHeight:d(b.maxHeight)?b.maxHeight:Infinity};if(this._aspectRatio||a)c=h.minHeight*this.aspectRatio,f=h.minWidth/this.aspectRatio,e=h.maxHeight*this.aspectRatio,g=h.maxWidth/this.aspectRatio,c>h.minWidth&&(h.minWidth=c),f>h.minHeight&&(h.minHeight=f),e<h.maxWidth&&(h.maxWidth=e),g<h.maxHeight&&(h.maxHeight=g);this._vBoundaries=h},_updateCache:function(a){var b=this.options;this.offset=this.helper.offset(),d(a.left)&&(this.position.left=a.left),d(a.top)&&(this.position.top=a.top),d(a.height)&&(this.size.height=a.height),d(a.width)&&(this.size.width=a.width)},_updateRatio:function(a,b){var c=this.options,e=this.position,f=this.size,g=this.axis;d(a.height)?a.width=a.height*this.aspectRatio:d(a.width)&&(a.height=a.width/this.aspectRatio),g=="sw"&&(a.left=e.left+(f.width-a.width),a.top=null),g=="nw"&&(a.top=e.top+(f.height-a.height),a.left=e.left+(f.width-a.width));return a},_respectSize:function(a,b){var c=this.helper,e=this._vBoundaries,f=this._aspectRatio||b.shiftKey,g=this.axis,h=d(a.width)&&e.maxWidth&&e.maxWidth<a.width,i=d(a.height)&&e.maxHeight&&e.maxHeight<a.height,j=d(a.width)&&e.minWidth&&e.minWidth>a.width,k=d(a.height)&&e.minHeight&&e.minHeight>a.height;j&&(a.width=e.minWidth),k&&(a.height=e.minHeight),h&&(a.width=e.maxWidth),i&&(a.height=e.maxHeight);var l=this.originalPosition.left+this.originalSize.width,m=this.position.top+this.size.height,n=/sw|nw|w/.test(g),o=/nw|ne|n/.test(g);j&&n&&(a.left=l-e.minWidth),h&&n&&(a.left=l-e.maxWidth),k&&o&&(a.top=m-e.minHeight),i&&o&&(a.top=m-e.maxHeight);var p=!a.width&&!a.height;p&&!a.left&&a.top?a.top=null:p&&!a.top&&a.left&&(a.left=null);return a},_proportionallyResize:function(){var b=this.options;if(!!this._proportionallyResizeElements.length){var c=this.helper||this.element;for(var d=0;d<this._proportionallyResizeElements.length;d++){var e=this._proportionallyResizeElements[d];if(!this.borderDif){var f=[e.css("borderTopWidth"),e.css("borderRightWidth"),e.css("borderBottomWidth"),e.css("borderLeftWidth")],g=[e.css("paddingTop"),e.css("paddingRight"),e.css("paddingBottom"),e.css("paddingLeft")];this.borderDif=a.map(f,function(a,b){var c=parseInt(a,10)||0,d=parseInt(g[b],10)||0;return c+d})}if(a.browser.msie&&(!!a(c).is(":hidden")||!!a(c).parents(":hidden").length))continue;e.css({height:c.height()-this.borderDif[0]-this.borderDif[2]||0,width:c.width()-this.borderDif[1]-this.borderDif[3]||0})}}},_renderProxy:function(){var b=this.element,c=this.options;this.elementOffset=b.offset();if(this._helper){this.helper=this.helper||a('<div style="overflow:hidden;"></div>');var d=a.browser.msie&&a.browser.version<7,e=d?1:0,f=d?2:-1;this.helper.addClass(this._helper).css({width:this.element.outerWidth()+f,height:this.element.outerHeight()+f,position:"absolute",left:this.elementOffset.left-e+"px",top:this.elementOffset.top-e+"px",zIndex:++c.zIndex}),this.helper.appendTo("body").disableSelection()}else this.helper=this.element},_change:{e:function(a,b,c){return{width:this.originalSize.width+b}},w:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{left:f.left+b,width:e.width-b}},n:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{top:f.top+c,height:e.height-c}},s:function(a,b,c){return{height:this.originalSize.height+c}},se:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},sw:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.w.apply(this,[b,c,d]))},ne:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},nw:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.w.apply(this,[b,c,d]))}},_propagate:function(b,c){a.ui.plugin.call(this,b,[c,this.ui()]),b!="resize"&&this._trigger(b,c,this.ui())},plugins:{},ui:function(){return{originalElement:this.originalElement,element:this.element,helper:this.helper,position:this.position,size:this.size,originalSize:this.originalSize,originalPosition:this.originalPosition}}}),a.extend(a.ui.resizable,{version:"1.8.18"}),a.ui.plugin.add("resizable","alsoResize",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=function(b){a(b).each(function(){var b=a(this);b.data("resizable-alsoresize",{width:parseInt(b.width(),10),height:parseInt(b.height(),10),left:parseInt(b.css("left"),10),top:parseInt(b.css("top"),10)})})};typeof e.alsoResize=="object"&&!e.alsoResize.parentNode?e.alsoResize.length?(e.alsoResize=e.alsoResize[0],f(e.alsoResize)):a.each(e.alsoResize,function(a){f(a)}):f(e.alsoResize)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.originalSize,g=d.originalPosition,h={height:d.size.height-f.height||0,width:d.size.width-f.width||0,top:d.position.top-g.top||0,left:d.position.left-g.left||0},i=function(b,d){a(b).each(function(){var b=a(this),e=a(this).data("resizable-alsoresize"),f={},g=d&&d.length?d:b.parents(c.originalElement[0]).length?["width","height"]:["width","height","top","left"];a.each(g,function(a,b){var c=(e[b]||0)+(h[b]||0);c&&c>=0&&(f[b]=c||null)}),b.css(f)})};typeof e.alsoResize=="object"&&!e.alsoResize.nodeType?a.each(e.alsoResize,function(a,b){i(a,b)}):i(e.alsoResize)},stop:function(b,c){a(this).removeData("resizable-alsoresize")}}),a.ui.plugin.add("resizable","animate",{stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d._proportionallyResizeElements,g=f.length&&/textarea/i.test(f[0].nodeName),h=g&&a.ui.hasScroll(f[0],"left")?0:d.sizeDiff.height,i=g?0:d.sizeDiff.width,j={width:d.size.width-i,height:d.size.height-h},k=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,l=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;d.element.animate(a.extend(j,l&&k?{top:l,left:k}:{}),{duration:e.animateDuration,easing:e.animateEasing,step:function(){var c={width:parseInt(d.element.css("width"),10),height:parseInt(d.element.css("height"),10),top:parseInt(d.element.css("top"),10),left:parseInt(d.element.css("left"),10)};f&&f.length&&a(f[0]).css({width:c.width,height:c.height}),d._updateCache(c),d._propagate("resize",b)}})}}),a.ui.plugin.add("resizable","containment",{start:function(b,d){var e=a(this).data("resizable"),f=e.options,g=e.element,h=f.containment,i=h instanceof a?h.get(0):/parent/.test(h)?g.parent().get(0):h;if(!!i){e.containerElement=a(i);if(/document/.test(h)||h==document)e.containerOffset={left:0,top:0},e.containerPosition={left:0,top:0},e.parentData={element:a(document),left:0,top:0,width:a(document).width(),height:a(document).height()||document.body.parentNode.scrollHeight};else{var j=a(i),k=[];a(["Top","Right","Left","Bottom"]).each(function(a,b){k[a]=c(j.css("padding"+b))}),e.containerOffset=j.offset(),e.containerPosition=j.position(),e.containerSize={height:j.innerHeight()-k[3],width:j.innerWidth()-k[1]};var l=e.containerOffset,m=e.containerSize.height,n=e.containerSize.width,o=a.ui.hasScroll(i,"left")?i.scrollWidth:n,p=a.ui.hasScroll(i)?i.scrollHeight:m;e.parentData={element:i,left:l.left,top:l.top,width:o,height:p}}}},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.containerSize,g=d.containerOffset,h=d.size,i=d.position,j=d._aspectRatio||b.shiftKey,k={top:0,left:0},l=d.containerElement;l[0]!=document&&/static/.test(l.css("position"))&&(k=g),i.left<(d._helper?g.left:0)&&(d.size.width=d.size.width+(d._helper?d.position.left-g.left:d.position.left-k.left),j&&(d.size.height=d.size.width/e.aspectRatio),d.position.left=e.helper?g.left:0),i.top<(d._helper?g.top:0)&&(d.size.height=d.size.height+(d._helper?d.position.top-g.top:d.position.top),j&&(d.size.width=d.size.height*e.aspectRatio),d.position.top=d._helper?g.top:0),d.offset.left=d.parentData.left+d.position.left,d.offset.top=d.parentData.top+d.position.top;var m=Math.abs((d._helper?d.offset.left-k.left:d.offset.left-k.left)+d.sizeDiff.width),n=Math.abs((d._helper?d.offset.top-k.top:d.offset.top-g.top)+d.sizeDiff.height),o=d.containerElement.get(0)==d.element.parent().get(0),p=/relative|absolute/.test(d.containerElement.css("position"));o&&p
+&&(m-=d.parentData.left),m+d.size.width>=d.parentData.width&&(d.size.width=d.parentData.width-m,j&&(d.size.height=d.size.width/d.aspectRatio)),n+d.size.height>=d.parentData.height&&(d.size.height=d.parentData.height-n,j&&(d.size.width=d.size.height*d.aspectRatio))},stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.position,g=d.containerOffset,h=d.containerPosition,i=d.containerElement,j=a(d.helper),k=j.offset(),l=j.outerWidth()-d.sizeDiff.width,m=j.outerHeight()-d.sizeDiff.height;d._helper&&!e.animate&&/relative/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m}),d._helper&&!e.animate&&/static/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m})}}),a.ui.plugin.add("resizable","ghost",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size;d.ghost=d.originalElement.clone(),d.ghost.css({opacity:.25,display:"block",position:"relative",height:f.height,width:f.width,margin:0,left:0,top:0}).addClass("ui-resizable-ghost").addClass(typeof e.ghost=="string"?e.ghost:""),d.ghost.appendTo(d.helper)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.ghost.css({position:"relative",height:d.size.height,width:d.size.width})},stop:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.helper&&d.helper.get(0).removeChild(d.ghost.get(0))}}),a.ui.plugin.add("resizable","grid",{resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size,g=d.originalSize,h=d.originalPosition,i=d.axis,j=e._aspectRatio||b.shiftKey;e.grid=typeof e.grid=="number"?[e.grid,e.grid]:e.grid;var k=Math.round((f.width-g.width)/(e.grid[0]||1))*(e.grid[0]||1),l=Math.round((f.height-g.height)/(e.grid[1]||1))*(e.grid[1]||1);/^(se|s|e)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l):/^(ne)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l):/^(sw)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.left=h.left-k):(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l,d.position.left=h.left-k)}});var c=function(a){return parseInt(a,10)||0},d=function(a){return!isNaN(parseInt(a,10))}})(jQuery);
+/*
+ * jQuery hashchange event - v1.3 - 7/21/2010
+ * http://benalman.com/projects/jquery-hashchange-plugin/
+ * 
+ * Copyright (c) 2010 "Cowboy" Ben Alman
+ * Dual licensed under the MIT and GPL licenses.
+ * http://benalman.com/about/license/
+ */
+(function($,e,b){var c="hashchange",h=document,f,g=$.event.special,i=h.documentMode,d="on"+c in e&&(i===b||i>7);function a(j){j=j||location.href;return"#"+j.replace(/^[^#]*#?(.*)$/,"$1")}$.fn[c]=function(j){return j?this.bind(c,j):this.trigger(c)};$.fn[c].delay=50;g[c]=$.extend(g[c],{setup:function(){if(d){return false}$(f.start)},teardown:function(){if(d){return false}$(f.stop)}});f=(function(){var j={},p,m=a(),k=function(q){return q},l=k,o=k;j.start=function(){p||n()};j.stop=function(){p&&clearTimeout(p);p=b};function n(){var r=a(),q=o(m);if(r!==m){l(m=r,q);$(e).trigger(c)}else{if(q!==m){location.href=location.href.replace(/#.*/,"")+q}}p=setTimeout(n,$.fn[c].delay)}$.browser.msie&&!d&&(function(){var q,r;j.start=function(){if(!q){r=$.fn[c].src;r=r&&r+a();q=$('<iframe tabindex="-1" title="empty"/>').hide().one("load",function(){r||l(a());n()}).attr("src",r||"javascript:0").insertAfter("body")[0].contentWindow;h.onpropertychange=function(){try{if(event.propertyName==="title"){q.document.title=h.title}}catch(s){}}}};j.stop=k;o=function(){return a(q.location.href)};l=function(v,s){var u=q.document,t=$.fn[c].domain;if(v!==s){u.title=h.title;u.open();t&&u.write('<script>document.domain="'+t+'"<\/script>');u.close();q.location.hash=v}}})();return j})()})(jQuery,this);
+/**
+ * jQuery.ScrollTo - Easy element scrolling using jQuery.
+ * Copyright (c) 2007-2009 Ariel Flesler - aflesler(at)gmail(dot)com | http://flesler.blogspot.com
+ * Dual licensed under MIT and GPL.
+ * Date: 5/25/2009
+ * @author Ariel Flesler
+ * @version 1.4.2
+ *
+ * http://flesler.blogspot.com/2007/10/jqueryscrollto.html
+ */
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diff --git a/Documentation/DSP/html/linearInterpExampleMethod1.gif b/Documentation/DSP/html/linearInterpExampleMethod1.gif
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+++ b/Documentation/DSP/html/modules.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Reference</title>
+<title>CMSIS-DSP: Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
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+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { searchBox.OnSelectItem(0); });
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li class="current"><a href="modules.html"><span>Reference</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('modules.html','');});
+</script>
+<div id="doc-content">
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="header">
+  <div class="headertitle">
+<div class="title">Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all modules:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img id="arr_0_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('0_')"/><a class="el" href="group__group_math.html" target="_self">Basic Math Functions</a></td><td class="desc"></td></tr>
+<tr id="row_0_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___basic_abs.html" target="_self">Vector Absolute Value</a></td><td class="desc"></td></tr>
+<tr id="row_0_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___basic_add.html" target="_self">Vector Addition</a></td><td class="desc"></td></tr>
+<tr id="row_0_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__dot__prod.html" target="_self">Vector Dot Product</a></td><td class="desc"></td></tr>
+<tr id="row_0_3_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___basic_mult.html" target="_self">Vector Multiplication</a></td><td class="desc"></td></tr>
+<tr id="row_0_4_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__negate.html" target="_self">Vector Negate</a></td><td class="desc"></td></tr>
+<tr id="row_0_5_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__offset.html" target="_self">Vector Offset</a></td><td class="desc"></td></tr>
+<tr id="row_0_6_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__scale.html" target="_self">Vector Scale</a></td><td class="desc"></td></tr>
+<tr id="row_0_7_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__shift.html" target="_self">Vector Shift</a></td><td class="desc"></td></tr>
+<tr id="row_0_8_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___basic_sub.html" target="_self">Vector Subtraction</a></td><td class="desc"></td></tr>
+<tr id="row_1_" class="even"><td class="entry"><img id="arr_1_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('1_')"/><a class="el" href="group__group_fast_math.html" target="_self">Fast Math Functions</a></td><td class="desc"></td></tr>
+<tr id="row_1_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__cos.html" target="_self">Cosine</a></td><td class="desc"></td></tr>
+<tr id="row_1_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__sin.html" target="_self">Sine</a></td><td class="desc"></td></tr>
+<tr id="row_1_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___s_q_r_t.html" target="_self">Square Root</a></td><td class="desc"></td></tr>
+<tr id="row_2_" class="even"><td class="entry"><img id="arr_2_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('2_')"/><a class="el" href="group__group_cmplx_math.html" target="_self">Complex Math Functions</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__cmplx__conj.html" target="_self">Complex Conjugate</a></td><td class="desc"></td></tr>
+<tr id="row_2_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__cmplx__dot__prod.html" target="_self">Complex Dot Product</a></td><td class="desc"></td></tr>
+<tr id="row_2_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__cmplx__mag.html" target="_self">Complex Magnitude</a></td><td class="desc"></td></tr>
+<tr id="row_2_3_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__cmplx__mag__squared.html" target="_self">Complex Magnitude Squared</a></td><td class="desc"></td></tr>
+<tr id="row_2_4_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___cmplx_by_cmplx_mult.html" target="_self">Complex-by-Complex Multiplication</a></td><td class="desc"></td></tr>
+<tr id="row_2_5_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___cmplx_by_real_mult.html" target="_self">Complex-by-Real Multiplication</a></td><td class="desc"></td></tr>
+<tr id="row_3_"><td class="entry"><img id="arr_3_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('3_')"/><a class="el" href="group__group_filters.html" target="_self">Filtering Functions</a></td><td class="desc"></td></tr>
+<tr id="row_3_0_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___biquad_cascade_d_f1__32x64.html" target="_self">High Precision Q31 Biquad Cascade Filter</a></td><td class="desc"></td></tr>
+<tr id="row_3_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___biquad_cascade_d_f1.html" target="_self">Biquad Cascade IIR Filters Using Direct Form I Structure</a></td><td class="desc"></td></tr>
+<tr id="row_3_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___biquad_cascade_d_f2_t.html" target="_self">Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure</a></td><td class="desc"></td></tr>
+<tr id="row_3_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___conv.html" target="_self">Convolution</a></td><td class="desc"></td></tr>
+<tr id="row_3_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___partial_conv.html" target="_self">Partial Convolution</a></td><td class="desc"></td></tr>
+<tr id="row_3_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___corr.html" target="_self">Correlation</a></td><td class="desc"></td></tr>
+<tr id="row_3_6_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___f_i_r__decimate.html" target="_self">Finite Impulse Response (FIR) Decimator</a></td><td class="desc"></td></tr>
+<tr id="row_3_7_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___f_i_r.html" target="_self">Finite Impulse Response (FIR) Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_8_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___f_i_r___lattice.html" target="_self">Finite Impulse Response (FIR) Lattice Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_9_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___f_i_r___sparse.html" target="_self">Finite Impulse Response (FIR) Sparse Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_10_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___i_i_r___lattice.html" target="_self">Infinite Impulse Response (IIR) Lattice Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_11_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___l_m_s.html" target="_self">Least Mean Square (LMS) Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_12_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___l_m_s___n_o_r_m.html" target="_self">Normalized LMS Filters</a></td><td class="desc"></td></tr>
+<tr id="row_3_13_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___f_i_r___interpolate.html" target="_self">Finite Impulse Response (FIR) Interpolator</a></td><td class="desc"></td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img id="arr_4_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('4_')"/><a class="el" href="group__group_matrix.html" target="_self">Matrix Functions</a></td><td class="desc"></td></tr>
+<tr id="row_4_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_add.html" target="_self">Matrix Addition</a></td><td class="desc"></td></tr>
+<tr id="row_4_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___cmplx_matrix_mult.html" target="_self">Complex Matrix Multiplication</a></td><td class="desc"></td></tr>
+<tr id="row_4_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_init.html" target="_self">Matrix Initialization</a></td><td class="desc"></td></tr>
+<tr id="row_4_3_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_inv.html" target="_self">Matrix Inverse</a></td><td class="desc"></td></tr>
+<tr id="row_4_4_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_mult.html" target="_self">Matrix Multiplication</a></td><td class="desc"></td></tr>
+<tr id="row_4_5_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_scale.html" target="_self">Matrix Scale</a></td><td class="desc"></td></tr>
+<tr id="row_4_6_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_sub.html" target="_self">Matrix Subtraction</a></td><td class="desc"></td></tr>
+<tr id="row_4_7_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___matrix_trans.html" target="_self">Matrix Transpose</a></td><td class="desc"></td></tr>
+<tr id="row_5_"><td class="entry"><img id="arr_5_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('5_')"/><a class="el" href="group__group_transforms.html" target="_self">Transform Functions</a></td><td class="desc"></td></tr>
+<tr id="row_5_0_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___complex_f_f_t.html" target="_self">Complex FFT Functions</a></td><td class="desc"></td></tr>
+<tr id="row_5_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___radix8___c_f_f_t___c_i_f_f_t.html" target="_self">Radix-8 Complex FFT Functions</a></td><td class="desc"></td></tr>
+<tr id="row_5_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___d_c_t4___i_d_c_t4.html" target="_self">DCT Type IV Functions</a></td><td class="desc"></td></tr>
+<tr id="row_5_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___fast.html" target="_self">Real FFT Functions</a></td><td class="desc"></td></tr>
+<tr id="row_5_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_f_f_t___c_i_f_f_t.html" target="_self">Complex FFT Tables</a></td><td class="desc"></td></tr>
+<tr id="row_5_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___real_f_f_t.html" target="_self">RealFFT</a></td><td class="desc"></td></tr>
+<tr id="row_6_" class="even"><td class="entry"><img id="arr_6_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('6_')"/><a class="el" href="group__group_controller.html" target="_self">Controller Functions</a></td><td class="desc"></td></tr>
+<tr id="row_6_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___sin_cos.html" target="_self">Sine Cosine</a></td><td class="desc"></td></tr>
+<tr id="row_6_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___p_i_d.html" target="_self">PID Motor Control</a></td><td class="desc"></td></tr>
+<tr id="row_6_2_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__clarke.html" target="_self">Vector Clarke Transform</a></td><td class="desc"></td></tr>
+<tr id="row_6_3_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__inv__clarke.html" target="_self">Vector Inverse Clarke Transform</a></td><td class="desc"></td></tr>
+<tr id="row_6_4_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__park.html" target="_self">Vector Park Transform</a></td><td class="desc"></td></tr>
+<tr id="row_6_5_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__inv__park.html" target="_self">Vector Inverse Park transform</a></td><td class="desc"></td></tr>
+<tr id="row_7_"><td class="entry"><img id="arr_7_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('7_')"/><a class="el" href="group__group_stats.html" target="_self">Statistics Functions</a></td><td class="desc"></td></tr>
+<tr id="row_7_0_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___max.html" target="_self">Maximum</a></td><td class="desc"></td></tr>
+<tr id="row_7_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__mean.html" target="_self">Mean</a></td><td class="desc"></td></tr>
+<tr id="row_7_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___min.html" target="_self">Minimum</a></td><td class="desc"></td></tr>
+<tr id="row_7_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__power.html" target="_self">Power</a></td><td class="desc"></td></tr>
+<tr id="row_7_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___r_m_s.html" target="_self">Root mean square (RMS)</a></td><td class="desc"></td></tr>
+<tr id="row_7_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___s_t_d.html" target="_self">Standard deviation</a></td><td class="desc"></td></tr>
+<tr id="row_7_6_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__variance.html" target="_self">Variance</a></td><td class="desc"></td></tr>
+<tr id="row_8_"><td class="entry"><img id="arr_8_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('8_')"/><a class="el" href="group__group_support.html" target="_self">Support Functions</a></td><td class="desc"></td></tr>
+<tr id="row_8_0_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__copy.html" target="_self">Vector Copy</a></td><td class="desc"></td></tr>
+<tr id="row_8_1_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___fill.html" target="_self">Vector Fill</a></td><td class="desc"></td></tr>
+<tr id="row_8_2_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__float__to__x.html" target="_self">Convert 32-bit floating point value</a></td><td class="desc"></td></tr>
+<tr id="row_8_3_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__q15__to__x.html" target="_self">Convert 16-bit Integer value</a></td><td class="desc"></td></tr>
+<tr id="row_8_4_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group__q31__to__x.html" target="_self">Convert 32-bit Integer value</a></td><td class="desc"></td></tr>
+<tr id="row_8_5_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group__q7__to__x.html" target="_self">Convert 8-bit Integer value</a></td><td class="desc"></td></tr>
+<tr id="row_9_" class="even"><td class="entry"><img id="arr_9_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('9_')"/><a class="el" href="group__group_interpolation.html" target="_self">Interpolation Functions</a></td><td class="desc"></td></tr>
+<tr id="row_9_0_"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___linear_interpolate.html" target="_self">Linear Interpolation</a></td><td class="desc"></td></tr>
+<tr id="row_9_1_" class="even"><td class="entry"><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___bilinear_interpolate.html" target="_self">Bilinear Interpolation</a></td><td class="desc"></td></tr>
+<tr id="row_10_"><td class="entry"><img id="arr_10_" src="ftv2mlastnode.png" alt="\" width="16" height="22" onclick="toggleFolder('10_')"/><a class="el" href="group__group_examples.html" target="_self">Examples</a></td><td class="desc"></td></tr>
+<tr id="row_10_0_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___class_marks.html" target="_self">Class Marks Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_1_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___convolution_example.html" target="_self">Convolution Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_2_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___dotproduct_example.html" target="_self">Dot Product Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_3_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___frequency_bin.html" target="_self">Frequency Bin Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_4_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___f_i_r_l_p_f.html" target="_self">FIR Lowpass Filter Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_5_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___g_e_q5_band.html" target="_self">Graphic Audio Equalizer Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_6_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___linear_interp_example.html" target="_self">Linear Interpolate Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_7_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___matrix_example.html" target="_self">Matrix Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_8_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___signal_convergence.html" target="_self">Signal Convergence Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_9_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___sin_cos_example.html" target="_self">SineCosine Example</a></td><td class="desc"></td></tr>
+<tr id="row_10_10_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___variance_example.html" target="_self">Variance Example</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/modules.js b/Documentation/DSP/html/modules.js
new file mode 100644
index 0000000..dce4f5e
--- /dev/null
+++ b/Documentation/DSP/html/modules.js
@@ -0,0 +1,14 @@
+var modules =
+[
+    [ "Basic Math Functions", "group__group_math.html", "group__group_math" ],
+    [ "Fast Math Functions", "group__group_fast_math.html", "group__group_fast_math" ],
+    [ "Complex Math Functions", "group__group_cmplx_math.html", "group__group_cmplx_math" ],
+    [ "Filtering Functions", "group__group_filters.html", "group__group_filters" ],
+    [ "Matrix Functions", "group__group_matrix.html", "group__group_matrix" ],
+    [ "Transform Functions", "group__group_transforms.html", "group__group_transforms" ],
+    [ "Controller Functions", "group__group_controller.html", "group__group_controller" ],
+    [ "Statistics Functions", "group__group_stats.html", "group__group_stats" ],
+    [ "Support Functions", "group__group_support.html", "group__group_support" ],
+    [ "Interpolation Functions", "group__group_interpolation.html", "group__group_interpolation" ],
+    [ "Examples", "group__group_examples.html", "group__group_examples" ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/nav_f.png b/Documentation/DSP/html/nav_f.png
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diff --git a/Documentation/DSP/html/nav_g.png b/Documentation/DSP/html/nav_g.png
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index 0000000..2093a23
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diff --git a/Documentation/DSP/html/nav_h.png b/Documentation/DSP/html/nav_h.png
new file mode 100644
index 0000000..33389b1
--- /dev/null
+++ b/Documentation/DSP/html/nav_h.png
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diff --git a/Documentation/DSP/html/navtree.css b/Documentation/DSP/html/navtree.css
new file mode 100644
index 0000000..8001f82
--- /dev/null
+++ b/Documentation/DSP/html/navtree.css
@@ -0,0 +1,143 @@
+#nav-tree .children_ul {
+  margin:0;
+  padding:4px;
+}
+
+#nav-tree ul {
+  list-style:none outside none;
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree li {
+  white-space:nowrap;
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree .plus {
+  margin:0px;
+}
+
+#nav-tree .selected {
+  background-image: url('tab_a.png');
+  background-repeat:repeat-x;
+  color: #fff;
+  text-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0);
+}
+
+#nav-tree img {
+  margin:0px;
+  padding:0px;
+  border:0px;
+  vertical-align: middle;
+}
+
+#nav-tree a {
+  text-decoration:none;
+  padding:0px;
+  margin:0px;
+  outline:none;
+}
+
+#nav-tree .label {
+  margin:0px;
+  padding:0px;
+  font: 12px 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+}
+
+#nav-tree .label a {
+  padding:2px;
+}
+
+#nav-tree .selected a {
+  text-decoration:none;
+  color:#fff;
+}
+
+#nav-tree .children_ul {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree .item {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree {
+  padding: 0px 0px;
+  background-color: #FAFAFF; 
+  font-size:14px;
+  overflow:auto;
+}
+
+#doc-content {
+  overflow:auto;
+  display:block;
+  padding:0px;
+  margin:0px;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#side-nav {
+  padding:0 6px 0 0;
+  margin: 0px;
+  display:block;
+  position: absolute;
+  left: 0px;
+  width: 300px;
+}
+
+.ui-resizable .ui-resizable-handle {
+  display:block;
+}
+
+.ui-resizable-e {
+  background:url("ftv2splitbar.png") repeat scroll right center transparent;
+  cursor:e-resize;
+  height:100%;
+  right:0;
+  top:0;
+  width:6px;
+}
+
+.ui-resizable-handle {
+  display:none;
+  font-size:0.1px;
+  position:absolute;
+  z-index:1;
+}
+
+#nav-tree-contents {
+  margin: 6px 0px 0px 0px;
+}
+
+#nav-tree {
+  background-image:url('nav_h.png');
+  background-repeat:repeat-x;
+  background-color: #F9FAFC;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#nav-sync {
+  position:absolute;
+  top:5px;
+  right:24px;
+  z-index:0;
+}
+
+#nav-sync img {
+  opacity:0.3;
+}
+
+#nav-sync img:hover {
+  opacity:0.9;
+}
+
+@media print
+{
+  #nav-tree { display: none; }
+  div.ui-resizable-handle { display: none; position: relative; }
+}
+
diff --git a/Documentation/DSP/html/navtree.js b/Documentation/DSP/html/navtree.js
new file mode 100644
index 0000000..52f98f4
--- /dev/null
+++ b/Documentation/DSP/html/navtree.js
@@ -0,0 +1,521 @@
+var NAVTREE =
+[
+  [ "CMSIS-DSP", "index.html", [
+    [ "CMSIS DSP Software Library", "index.html", null ],
+    [ "Change Log", "_change_log_pg.html", null ],
+    [ "Deprecated List", "deprecated.html", null ],
+    [ "Reference", "modules.html", "modules" ],
+    [ "Data Structures", "annotated.html", "annotated" ],
+    [ "Data Fields", "functions.html", [
+      [ "All", "functions.html", "functions_dup" ],
+      [ "Variables", "functions_vars.html", "functions_vars" ]
+    ] ]
+  ] ]
+];
+
+var NAVTREEINDEX =
+[
+"_change_log_pg.html",
+"group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257",
+"structarm__biquad__cascade__df2_t__instance__f64.html",
+"structarm__lms__norm__instance__q31.html"
+];
+
+var SYNCONMSG = 'click to disable panel synchronisation';
+var SYNCOFFMSG = 'click to enable panel synchronisation';
+var navTreeSubIndices = new Array();
+
+function getData(varName)
+{
+  var i = varName.lastIndexOf('/');
+  var n = i>=0 ? varName.substring(i+1) : varName;
+  return eval(n.replace(/\-/g,'_'));
+}
+
+function stripPath(uri)
+{
+  return uri.substring(uri.lastIndexOf('/')+1);
+}
+
+function stripPath2(uri)
+{
+  var i = uri.lastIndexOf('/');
+  var s = uri.substring(i+1);
+  var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/);
+  return m ? uri.substring(i-6) : s;
+}
+
+function localStorageSupported()
+{
+  try {
+    return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem;
+  }
+  catch(e) {
+    return false;
+  }
+}
+
+
+function storeLink(link)
+{
+  if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) {
+      window.localStorage.setItem('navpath',link);
+  }
+}
+
+function deleteLink()
+{
+  if (localStorageSupported()) {
+    window.localStorage.setItem('navpath','');
+  } 
+}
+
+function cachedLink()
+{
+  if (localStorageSupported()) {
+    return window.localStorage.getItem('navpath');
+  } else {
+    return '';
+  }
+}
+
+function getScript(scriptName,func,show)
+{
+  var head = document.getElementsByTagName("head")[0]; 
+  var script = document.createElement('script');
+  script.id = scriptName;
+  script.type = 'text/javascript';
+  script.onload = func; 
+  script.src = scriptName+'.js'; 
+  if ($.browser.msie && $.browser.version<=8) { 
+    // script.onload does work with older versions of IE
+    script.onreadystatechange = function() {
+      if (script.readyState=='complete' || script.readyState=='loaded') { 
+        func(); if (show) showRoot(); 
+      }
+    }
+  }
+  head.appendChild(script); 
+}
+
+function createIndent(o,domNode,node,level)
+{
+  if (node.parentNode && node.parentNode.parentNode) {
+    createIndent(o,domNode,node.parentNode,level+1);
+  }
+  var imgNode = document.createElement("img");
+  imgNode.width = 16;
+  imgNode.height = 22;
+  if (level==0 && node.childrenData) {
+    node.plus_img = imgNode;
+    node.expandToggle = document.createElement("a");
+    node.expandToggle.href = "javascript:void(0)";
+    node.expandToggle.onclick = function() {
+      if (node.expanded) {
+        $(node.getChildrenUL()).slideUp("fast");
+        if (node.isLast) {
+          node.plus_img.src = node.relpath+"ftv2plastnode.png";
+        } else {
+          node.plus_img.src = node.relpath+"ftv2pnode.png";
+        }
+        node.expanded = false;
+      } else {
+        expandNode(o, node, false, false);
+      }
+    }
+    node.expandToggle.appendChild(imgNode);
+    domNode.appendChild(node.expandToggle);
+  } else {
+    domNode.appendChild(imgNode);
+  }
+  if (level==0) {
+    if (node.isLast) {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2plastnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2lastnode.png";
+        domNode.appendChild(imgNode);
+      }
+    } else {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2pnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2node.png";
+        domNode.appendChild(imgNode);
+      }
+    }
+  } else {
+    if (node.isLast) {
+      imgNode.src = node.relpath+"ftv2blank.png";
+    } else {
+      imgNode.src = node.relpath+"ftv2vertline.png";
+    }
+  }
+  imgNode.border = "0";
+}
+
+function newNode(o, po, text, link, childrenData, lastNode)
+{
+  var node = new Object();
+  node.children = Array();
+  node.childrenData = childrenData;
+  node.depth = po.depth + 1;
+  node.relpath = po.relpath;
+  node.isLast = lastNode;
+
+  node.li = document.createElement("li");
+  po.getChildrenUL().appendChild(node.li);
+  node.parentNode = po;
+
+  node.itemDiv = document.createElement("div");
+  node.itemDiv.className = "item";
+
+  node.labelSpan = document.createElement("span");
+  node.labelSpan.className = "label";
+
+  createIndent(o,node.itemDiv,node,0);
+  node.itemDiv.appendChild(node.labelSpan);
+  node.li.appendChild(node.itemDiv);
+
+  var a = document.createElement("a");
+  node.labelSpan.appendChild(a);
+  node.label = document.createTextNode(text);
+  node.expanded = false;
+  a.appendChild(node.label);
+  if (link) {
+    var url;
+    if (link.substring(0,1)=='^') {
+      url = link.substring(1);
+      link = url;
+    } else {
+      url = node.relpath+link;
+    }
+    a.className = stripPath(link.replace('#',':'));
+    if (link.indexOf('#')!=-1) {
+      var aname = '#'+link.split('#')[1];
+      var srcPage = stripPath($(location).attr('pathname'));
+      var targetPage = stripPath(link.split('#')[0]);
+      a.href = srcPage!=targetPage ? url : '#';
+      a.onclick = function(){
+        storeLink(link);
+        if (!$(a).parent().parent().hasClass('selected'))
+        {
+          $('.item').removeClass('selected');
+          $('.item').removeAttr('id');
+          $(a).parent().parent().addClass('selected');
+          $(a).parent().parent().attr('id','selected');
+        }
+        var pos, anchor = $(aname), docContent = $('#doc-content');
+        if (anchor.parent().attr('class')=='memItemLeft') {
+          pos = anchor.parent().position().top;
+        } else if (anchor.position()) {
+          pos = anchor.position().top;
+        }
+        if (pos) {
+          var dist = Math.abs(Math.min(
+                     pos-docContent.offset().top,
+                     docContent[0].scrollHeight-
+                     docContent.height()-docContent.scrollTop()));
+          docContent.animate({
+            scrollTop: pos + docContent.scrollTop() - docContent.offset().top
+          },Math.max(50,Math.min(500,dist)),function(){
+            window.location.replace(aname);
+          });
+        }
+      };
+    } else {
+      a.href = url;
+      a.onclick = function() { storeLink(link); }
+    }
+  } else {
+    if (childrenData != null) 
+    {
+      a.className = "nolink";
+      a.href = "javascript:void(0)";
+      a.onclick = node.expandToggle.onclick;
+    }
+  }
+
+  node.childrenUL = null;
+  node.getChildrenUL = function() {
+    if (!node.childrenUL) {
+      node.childrenUL = document.createElement("ul");
+      node.childrenUL.className = "children_ul";
+      node.childrenUL.style.display = "none";
+      node.li.appendChild(node.childrenUL);
+    }
+    return node.childrenUL;
+  };
+
+  return node;
+}
+
+function showRoot()
+{
+  var headerHeight = $("#top").height();
+  var footerHeight = $("#nav-path").height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  (function (){ // retry until we can scroll to the selected item
+    try {
+      var navtree=$('#nav-tree');
+      navtree.scrollTo('#selected',0,{offset:-windowHeight/2});
+    } catch (err) {
+      setTimeout(arguments.callee, 0);
+    }
+  })();
+}
+
+function expandNode(o, node, imm, showRoot)
+{
+  if (node.childrenData && !node.expanded) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        expandNode(o, node, imm, showRoot);
+      }, showRoot);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      } if (imm || ($.browser.msie && $.browser.version>8)) { 
+        // somehow slideDown jumps to the start of tree for IE9 :-(
+        $(node.getChildrenUL()).show();
+      } else {
+        $(node.getChildrenUL()).slideDown("fast");
+      }
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+    }
+  }
+}
+
+function glowEffect(n,duration)
+{
+  n.addClass('glow').delay(duration).queue(function(next){
+    $(this).removeClass('glow');next();
+  });
+}
+
+function highlightAnchor()
+{
+  var anchor = $($(location).attr('hash'));
+  if (anchor.parent().attr('class')=='memItemLeft'){
+    var rows = $('.memberdecls tr[class$="'+
+               window.location.hash.substring(1)+'"]');
+    glowEffect(rows.children(),300); // member without details
+  } else if (anchor.parents().slice(2).prop('tagName')=='TR') {
+    glowEffect(anchor.parents('div.memitem'),1000); // enum value
+  } else if (anchor.parent().attr('class')=='fieldtype'){
+    glowEffect(anchor.parent().parent(),1000); // struct field
+  } else if (anchor.parent().is(":header")) {
+    glowEffect(anchor.parent(),1000); // section header
+  } else {
+    glowEffect(anchor.next(),1000); // normal member
+  }
+}
+
+function selectAndHighlight(hash,n)
+{
+  var a;
+  if (hash) {
+    var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
+    a=$('.item a[class$="'+link+'"]');
+  }
+  if (a && a.length) {
+    a.parent().parent().addClass('selected');
+    a.parent().parent().attr('id','selected');
+    highlightAnchor();
+  } else if (n) {
+    $(n.itemDiv).addClass('selected');
+    $(n.itemDiv).attr('id','selected');
+  }
+  showRoot();
+}
+
+function showNode(o, node, index, hash)
+{
+  if (node && node.childrenData) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        showNode(o,node,index,hash);
+      },true);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      }
+      $(node.getChildrenUL()).show();
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+      var n = node.children[o.breadcrumbs[index]];
+      if (index+1<o.breadcrumbs.length) {
+        showNode(o,n,index+1,hash);
+      } else {
+        if (typeof(n.childrenData)==='string') {
+          var varName = n.childrenData;
+          getScript(n.relpath+varName,function(){
+            n.childrenData = getData(varName);
+            node.expanded=false;
+            showNode(o,node,index,hash); // retry with child node expanded
+          },true);
+        } else {
+          var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
+          if (rootBase=="index" || rootBase=="pages") {
+            expandNode(o, n, true, true);
+          }
+          selectAndHighlight(hash,n);
+        }
+      }
+    }
+  } else {
+    selectAndHighlight(hash);
+  }
+}
+
+function getNode(o, po)
+{
+  po.childrenVisited = true;
+  var l = po.childrenData.length-1;
+  for (var i in po.childrenData) {
+    var nodeData = po.childrenData[i];
+    po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
+      i==l);
+  }
+}
+
+function gotoNode(o,subIndex,root,hash,relpath)
+{
+  var nti = navTreeSubIndices[subIndex][root+hash];
+  o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
+  if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
+    navTo(o,NAVTREE[0][1],"",relpath);
+    $('.item').removeClass('selected');
+    $('.item').removeAttr('id');
+  }
+  if (o.breadcrumbs) {
+    o.breadcrumbs.unshift(0); // add 0 for root node
+    showNode(o, o.node, 0, hash);
+  }
+}
+
+function navTo(o,root,hash,relpath)
+{
+  var link = cachedLink();
+  if (link) {
+    var parts = link.split('#');
+    root = parts[0];
+    if (parts.length>1) hash = '#'+parts[1];
+    else hash='';
+  }
+  if (root==NAVTREE[0][1]) {
+    $('#nav-sync').css('top','30px');
+  } else {
+    $('#nav-sync').css('top','5px');
+  }
+  if (hash.match(/^#l\d+$/)) {
+    var anchor=$('a[name='+hash.substring(1)+']');
+    glowEffect(anchor.parent(),1000); // line number
+    hash=''; // strip line number anchors
+    //root=root.replace(/_source\./,'.'); // source link to doc link
+  }
+  var url=root+hash;
+  var i=-1;
+  while (NAVTREEINDEX[i+1]<=url) i++;
+  if (navTreeSubIndices[i]) {
+    gotoNode(o,i,root,hash,relpath)
+  } else {
+    getScript(relpath+'navtreeindex'+i,function(){
+      navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
+      if (navTreeSubIndices[i]) {
+        gotoNode(o,i,root,hash,relpath);
+      }
+    },true);
+  }
+}
+
+function showSyncOff(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
+}
+
+function showSyncOn(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_on.png"/ title="'+SYNCONMSG+'">');
+}
+
+function toggleSyncButton(relpath)
+{
+  var navSync = $('#nav-sync');
+  if (navSync.hasClass('sync')) {
+    navSync.removeClass('sync');
+    showSyncOff(navSync,relpath);
+    storeLink(stripPath2($(location).attr('pathname'))+$(location).attr('hash'));
+  } else {
+    navSync.addClass('sync');
+    showSyncOn(navSync,relpath);
+    deleteLink();
+  }
+}
+
+function initNavTree(toroot,relpath)
+{
+  var o = new Object();
+  o.toroot = toroot;
+  o.node = new Object();
+  o.node.li = document.getElementById("nav-tree-contents");
+  o.node.childrenData = NAVTREE;
+  o.node.children = new Array();
+  o.node.childrenUL = document.createElement("ul");
+  o.node.getChildrenUL = function() { return o.node.childrenUL; };
+  o.node.li.appendChild(o.node.childrenUL);
+  o.node.depth = 0;
+  o.node.relpath = relpath;
+  o.node.expanded = false;
+  o.node.isLast = true;
+  o.node.plus_img = document.createElement("img");
+  o.node.plus_img.src = relpath+"ftv2pnode.png";
+  o.node.plus_img.width = 16;
+  o.node.plus_img.height = 22;
+
+  if (localStorageSupported()) {
+    var navSync = $('#nav-sync');
+    if (cachedLink()) {
+      showSyncOff(navSync,relpath);
+      navSync.removeClass('sync');
+    } else {
+      showSyncOn(navSync,relpath);
+    }
+    navSync.click(function(){ toggleSyncButton(relpath); });
+  }
+
+  navTo(o,toroot,window.location.hash,relpath);
+
+  $(window).bind('hashchange', function(){
+     if (window.location.hash && window.location.hash.length>1){
+       var a;
+       if ($(location).attr('hash')){
+         var clslink=stripPath($(location).attr('pathname'))+':'+
+                               $(location).attr('hash').substring(1);
+         a=$('.item a[class$="'+clslink+'"]');
+       }
+       if (a==null || !$(a).parent().parent().hasClass('selected')){
+         $('.item').removeClass('selected');
+         $('.item').removeAttr('id');
+       }
+       var link=stripPath2($(location).attr('pathname'));
+       navTo(o,link,$(location).attr('hash'),relpath);
+     }
+  })
+
+  $(window).load(showRoot);
+}
+
diff --git a/Documentation/DSP/html/navtreeindex0.js b/Documentation/DSP/html/navtreeindex0.js
new file mode 100644
index 0000000..5be02ba
--- /dev/null
+++ b/Documentation/DSP/html/navtreeindex0.js
@@ -0,0 +1,253 @@
+var NAVTREEINDEX0 =
+{
+"_change_log_pg.html":[1],
+"annotated.html":[4],
+"deprecated.html":[2],
+"functions.html":[5,0],
+"functions.html":[5,0,0],
+"functions_0x62.html":[5,0,1],
+"functions_0x65.html":[5,0,2],
+"functions_0x66.html":[5,0,3],
+"functions_0x69.html":[5,0,4],
+"functions_0x6b.html":[5,0,5],
+"functions_0x6c.html":[5,0,6],
+"functions_0x6d.html":[5,0,7],
+"functions_0x6e.html":[5,0,8],
+"functions_0x6f.html":[5,0,9],
+"functions_0x70.html":[5,0,10],
+"functions_0x72.html":[5,0,11],
+"functions_0x73.html":[5,0,12],
+"functions_0x74.html":[5,0,13],
+"functions_0x78.html":[5,0,14],
+"functions_vars.html":[5,1],
+"functions_vars.html":[5,1,0],
+"functions_vars_0x62.html":[5,1,1],
+"functions_vars_0x65.html":[5,1,2],
+"functions_vars_0x66.html":[5,1,3],
+"functions_vars_0x69.html":[5,1,4],
+"functions_vars_0x6b.html":[5,1,5],
+"functions_vars_0x6c.html":[5,1,6],
+"functions_vars_0x6d.html":[5,1,7],
+"functions_vars_0x6e.html":[5,1,8],
+"functions_vars_0x6f.html":[5,1,9],
+"functions_vars_0x70.html":[5,1,10],
+"functions_vars_0x72.html":[5,1,11],
+"functions_vars_0x73.html":[5,1,12],
+"functions_vars_0x74.html":[5,1,13],
+"functions_vars_0x78.html":[5,1,14],
+"group___basic_abs.html":[3,0,0],
+"group___basic_abs.html#ga39f92964c9b649ba252e26ebe7b95594":[3,0,0,1],
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+"group___basic_add.html":[3,0,1],
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+"group___basic_add.html#gaed633f415a7840a66861debca2dfb96b":[3,0,1,3],
+"group___basic_mult.html":[3,0,3],
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+"group___bilinear_interpolate.html":[3,9,1],
+"group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13":[3,9,1,2],
+"group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e":[3,9,1,1],
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+"group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6":[3,9,1,3],
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+<div class="contents">
+<div class="textblock">Here is a list of all related documentation pages:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="_change_log_pg.html" target="_self">Change Log</a></td><td class="desc"></td></tr>
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+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS-DSP by ARM Ltd. All rights reserved.
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--- /dev/null
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diff --git a/Documentation/DSP/html/parkInvFormula.gif b/Documentation/DSP/html/parkInvFormula.gif
new file mode 100644
index 0000000..4cb89df
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diff --git a/Documentation/DSP/html/printComponentTabs.js b/Documentation/DSP/html/printComponentTabs.js
new file mode 100644
index 0000000..64d846b
--- /dev/null
+++ b/Documentation/DSP/html/printComponentTabs.js
@@ -0,0 +1,36 @@
+var strgURL =   location.pathname;                      // path of current component
+
+// constuctor for the array of objects
+function tabElement(id, folderName, tabTxt )  {
+	this.id = id;                                       // elementID as needed in html; 
+	this.folderName = folderName;                       // folder name of the component 
+    this.tabTxt = tabTxt;                               // Text displayed as menu on the web
+	this.currentListItem = '<li id="' + this.id + '" class="current"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+	this.listItem = '<li id="' + this.id + '"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+};
+
+// array of objects
+var arr = [];
+
+// fill array
+ arr.push( new tabElement( "GEN",    "/General/html/",     "General")   );
+ arr.push( new tabElement( "CORE",   "/Core/html/",        "Core")      );
+ arr.push( new tabElement( "DRV",    "/Driver/html/",      "Driver")    );
+ arr.push( new tabElement( "DSP",    "/DSP/html/",         "DSP")       );
+ arr.push( new tabElement( "RTOS",   "/RTOS/html/",        "RTOS API")  );
+ arr.push( new tabElement( "RTX",    "/RTX/html/",         "RTX")       );
+ arr.push( new tabElement( "PACK",   "/Pack/html/",        "Pack")      );
+ arr.push( new tabElement( "SVD",    "/SVD/html/",         "SVD")       );
+ arr.push( new tabElement( "DAP",    "/DAP/html/",         "DAP")       );
+ 
+// write tabs
+// called from the header file.
+function writeComponentTabs()  {
+  for ( var i=0; i < arr.length; i++ ) {
+    if (strgURL.search(arr[i].folderName) > 0) {                    // if this is the current folder
+      document.write(arr[i].currentListItem);                       // then print and hightlight the tab
+    } else {                                                      
+      document.write(arr[i].listItem);                              // else, print the tab
+    }                                                             
+  }
+};
diff --git a/Documentation/DSP/html/resize.js b/Documentation/DSP/html/resize.js
new file mode 100644
index 0000000..9fe82ba
--- /dev/null
+++ b/Documentation/DSP/html/resize.js
@@ -0,0 +1,93 @@
+var cookie_namespace = 'doxygen'; 
+var sidenav,navtree,content,header;
+
+function readCookie(cookie) 
+{
+  var myCookie = cookie_namespace+"_"+cookie+"=";
+  if (document.cookie) 
+  {
+    var index = document.cookie.indexOf(myCookie);
+    if (index != -1) 
+    {
+      var valStart = index + myCookie.length;
+      var valEnd = document.cookie.indexOf(";", valStart);
+      if (valEnd == -1) 
+      {
+        valEnd = document.cookie.length;
+      }
+      var val = document.cookie.substring(valStart, valEnd);
+      return val;
+    }
+  }
+  return 0;
+}
+
+function writeCookie(cookie, val, expiration) 
+{
+  if (val==undefined) return;
+  if (expiration == null) 
+  {
+    var date = new Date();
+    date.setTime(date.getTime()+(10*365*24*60*60*1000)); // default expiration is one week
+    expiration = date.toGMTString();
+  }
+  document.cookie = cookie_namespace + "_" + cookie + "=" + val + "; expires=" + expiration+"; path=/";
+}
+ 
+function resizeWidth() 
+{
+  var windowWidth = $(window).width() + "px";
+  var sidenavWidth = $(sidenav).width();
+  content.css({marginLeft:parseInt(sidenavWidth)+6+"px"}); //account for 6px-wide handle-bar
+  writeCookie('width',sidenavWidth, null);
+}
+
+function restoreWidth(navWidth)
+{
+  var windowWidth = $(window).width() + "px";
+  content.css({marginLeft:parseInt(navWidth)+6+"px"});
+  sidenav.css({width:navWidth + "px"});
+}
+
+function resizeHeight() 
+{
+  var headerHeight = header.height();
+  var footerHeight = footer.height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  content.css({height:windowHeight + "px"});
+  navtree.css({height:windowHeight + "px"});
+  sidenav.css({height:windowHeight + "px",top: headerHeight+"px"});
+}
+
+function initResizable()
+{
+  header  = $("#top");
+  sidenav = $("#side-nav");
+  content = $("#doc-content");
+  navtree = $("#nav-tree");
+  footer  = $("#nav-path");
+  $(".side-nav-resizable").resizable({resize: function(e, ui) { resizeWidth(); } });
+  $(window).resize(function() { resizeHeight(); });
+  var width = readCookie('width');
+  if (width) { restoreWidth(width); } else { resizeWidth(); }
+  resizeHeight();
+  var url = location.href;
+  var i=url.indexOf("#");
+  if (i>=0) window.location.hash=url.substr(i);
+  var _preventDefault = function(evt) { evt.preventDefault(); };
+  $("#splitbar").bind("dragstart", _preventDefault).bind("selectstart", _preventDefault);
+  $(document).bind('touchmove',function(e){
+    try {
+      var target = e.target;
+      while (target) {
+        if ($(target).css('-webkit-overflow-scrolling')=='touch') return;
+        target = target.parentNode;
+      }
+      e.preventDefault();
+    } catch(err) {
+      e.preventDefault();
+    }
+  });
+}
+
+
diff --git a/Documentation/DSP/html/search/all_5f.html b/Documentation/DSP/html/search/all_5f.html
new file mode 100644
index 0000000..1f27755
--- /dev/null
+++ b/Documentation/DSP/html/search/all_5f.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="all_5f.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/all_5f.js b/Documentation/DSP/html/search/all_5f.js
new file mode 100644
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+var searchData=
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+  ['complex_2dby_2dreal_20multiplication',['Complex-by-Real Multiplication',['../group___cmplx_by_real_mult.html',1,'']]],
+  ['complex_20matrix_20multiplication',['Complex Matrix Multiplication',['../group___cmplx_matrix_mult.html',1,'']]],
+  ['complex_20fft_20functions',['Complex FFT Functions',['../group___complex_f_f_t.html',1,'']]],
+  ['convolution',['Convolution',['../group___conv.html',1,'']]],
+  ['convolution_20example',['Convolution Example',['../group___convolution_example.html',1,'']]],
+  ['correlation',['Correlation',['../group___corr.html',1,'']]],
+  ['cosine',['Cosine',['../group__cos.html',1,'']]],
+  ['convert_2032_2dbit_20floating_20point_20value',['Convert 32-bit floating point value',['../group__float__to__x.html',1,'']]],
+  ['complex_20math_20functions',['Complex Math Functions',['../group__group_cmplx_math.html',1,'']]],
+  ['controller_20functions',['Controller Functions',['../group__group_controller.html',1,'']]],
+  ['convert_2016_2dbit_20integer_20value',['Convert 16-bit Integer value',['../group__q15__to__x.html',1,'']]],
+  ['convert_2032_2dbit_20integer_20value',['Convert 32-bit Integer value',['../group__q31__to__x.html',1,'']]],
+  ['convert_208_2dbit_20integer_20value',['Convert 8-bit Integer value',['../group__q7__to__x.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_64.html b/Documentation/DSP/html/search/groups_64.html
new file mode 100644
index 0000000..ab9c76f
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_64.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_64.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_64.js b/Documentation/DSP/html/search/groups_64.js
new file mode 100644
index 0000000..709f9ef
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_64.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['dct_20type_20iv_20functions',['DCT Type IV Functions',['../group___d_c_t4___i_d_c_t4.html',1,'']]],
+  ['dot_20product_20example',['Dot Product Example',['../group___dotproduct_example.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_65.html b/Documentation/DSP/html/search/groups_65.html
new file mode 100644
index 0000000..f084d02
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_65.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_65.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_65.js b/Documentation/DSP/html/search/groups_65.js
new file mode 100644
index 0000000..aec8bf2
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_65.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['examples',['Examples',['../group__group_examples.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_66.html b/Documentation/DSP/html/search/groups_66.html
new file mode 100644
index 0000000..b1879e4
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_66.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_66.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_66.js b/Documentation/DSP/html/search/groups_66.js
new file mode 100644
index 0000000..5a9ebfe
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_66.js
@@ -0,0 +1,12 @@
+var searchData=
+[
+  ['finite_20impulse_20response_20_28fir_29_20filters',['Finite Impulse Response (FIR) Filters',['../group___f_i_r.html',1,'']]],
+  ['finite_20impulse_20response_20_28fir_29_20decimator',['Finite Impulse Response (FIR) Decimator',['../group___f_i_r__decimate.html',1,'']]],
+  ['finite_20impulse_20response_20_28fir_29_20interpolator',['Finite Impulse Response (FIR) Interpolator',['../group___f_i_r___interpolate.html',1,'']]],
+  ['finite_20impulse_20response_20_28fir_29_20lattice_20filters',['Finite Impulse Response (FIR) Lattice Filters',['../group___f_i_r___lattice.html',1,'']]],
+  ['finite_20impulse_20response_20_28fir_29_20sparse_20filters',['Finite Impulse Response (FIR) Sparse Filters',['../group___f_i_r___sparse.html',1,'']]],
+  ['fir_20lowpass_20filter_20example',['FIR Lowpass Filter Example',['../group___f_i_r_l_p_f.html',1,'']]],
+  ['frequency_20bin_20example',['Frequency Bin Example',['../group___frequency_bin.html',1,'']]],
+  ['fast_20math_20functions',['Fast Math Functions',['../group__group_fast_math.html',1,'']]],
+  ['filtering_20functions',['Filtering Functions',['../group__group_filters.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_67.html b/Documentation/DSP/html/search/groups_67.html
new file mode 100644
index 0000000..4fc9422
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_67.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_67.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_67.js b/Documentation/DSP/html/search/groups_67.js
new file mode 100644
index 0000000..22ccacf
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_67.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['graphic_20audio_20equalizer_20example',['Graphic Audio Equalizer Example',['../group___g_e_q5_band.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_68.html b/Documentation/DSP/html/search/groups_68.html
new file mode 100644
index 0000000..343844e
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_68.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_68.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_68.js b/Documentation/DSP/html/search/groups_68.js
new file mode 100644
index 0000000..3408c23
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_68.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['high_20precision_20q31_20biquad_20cascade_20filter',['High Precision Q31 Biquad Cascade Filter',['../group___biquad_cascade_d_f1__32x64.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_69.html b/Documentation/DSP/html/search/groups_69.html
new file mode 100644
index 0000000..2bcea06
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_69.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_69.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_69.js b/Documentation/DSP/html/search/groups_69.js
new file mode 100644
index 0000000..11256cf
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_69.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['interpolation_20functions',['Interpolation Functions',['../group__group_interpolation.html',1,'']]],
+  ['infinite_20impulse_20response_20_28iir_29_20lattice_20filters',['Infinite Impulse Response (IIR) Lattice Filters',['../group___i_i_r___lattice.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_6c.html b/Documentation/DSP/html/search/groups_6c.html
new file mode 100644
index 0000000..157903c
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6c.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_6c.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_6c.js b/Documentation/DSP/html/search/groups_6c.js
new file mode 100644
index 0000000..97f3516
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6c.js
@@ -0,0 +1,6 @@
+var searchData=
+[
+  ['linear_20interpolate_20example',['Linear Interpolate Example',['../group___linear_interp_example.html',1,'']]],
+  ['linear_20interpolation',['Linear Interpolation',['../group___linear_interpolate.html',1,'']]],
+  ['least_20mean_20square_20_28lms_29_20filters',['Least Mean Square (LMS) Filters',['../group___l_m_s.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_6d.html b/Documentation/DSP/html/search/groups_6d.html
new file mode 100644
index 0000000..7caa8d7
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6d.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_6d.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_6d.js b/Documentation/DSP/html/search/groups_6d.js
new file mode 100644
index 0000000..d019213
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6d.js
@@ -0,0 +1,15 @@
+var searchData=
+[
+  ['matrix_20functions',['Matrix Functions',['../group__group_matrix.html',1,'']]],
+  ['matrix_20addition',['Matrix Addition',['../group___matrix_add.html',1,'']]],
+  ['matrix_20example',['Matrix Example',['../group___matrix_example.html',1,'']]],
+  ['matrix_20initialization',['Matrix Initialization',['../group___matrix_init.html',1,'']]],
+  ['matrix_20inverse',['Matrix Inverse',['../group___matrix_inv.html',1,'']]],
+  ['matrix_20multiplication',['Matrix Multiplication',['../group___matrix_mult.html',1,'']]],
+  ['matrix_20scale',['Matrix Scale',['../group___matrix_scale.html',1,'']]],
+  ['matrix_20subtraction',['Matrix Subtraction',['../group___matrix_sub.html',1,'']]],
+  ['matrix_20transpose',['Matrix Transpose',['../group___matrix_trans.html',1,'']]],
+  ['maximum',['Maximum',['../group___max.html',1,'']]],
+  ['mean',['Mean',['../group__mean.html',1,'']]],
+  ['minimum',['Minimum',['../group___min.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_6e.html b/Documentation/DSP/html/search/groups_6e.html
new file mode 100644
index 0000000..5e9e7d8
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6e.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_6e.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_6e.js b/Documentation/DSP/html/search/groups_6e.js
new file mode 100644
index 0000000..30f2c09
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_6e.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['normalized_20lms_20filters',['Normalized LMS Filters',['../group___l_m_s___n_o_r_m.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_70.html b/Documentation/DSP/html/search/groups_70.html
new file mode 100644
index 0000000..2cb8f74
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_70.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_70.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_70.js b/Documentation/DSP/html/search/groups_70.js
new file mode 100644
index 0000000..f0607b9
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_70.js
@@ -0,0 +1,6 @@
+var searchData=
+[
+  ['partial_20convolution',['Partial Convolution',['../group___partial_conv.html',1,'']]],
+  ['pid_20motor_20control',['PID Motor Control',['../group___p_i_d.html',1,'']]],
+  ['power',['Power',['../group__power.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_72.html b/Documentation/DSP/html/search/groups_72.html
new file mode 100644
index 0000000..a4430da
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_72.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_72.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_72.js b/Documentation/DSP/html/search/groups_72.js
new file mode 100644
index 0000000..b2d7deb
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_72.js
@@ -0,0 +1,7 @@
+var searchData=
+[
+  ['real_20fft_20functions',['Real FFT Functions',['../group___fast.html',1,'']]],
+  ['radix_2d8_20complex_20fft_20functions',['Radix-8 Complex FFT Functions',['../group___radix8___c_f_f_t___c_i_f_f_t.html',1,'']]],
+  ['realfft',['RealFFT',['../group___real_f_f_t.html',1,'']]],
+  ['root_20mean_20square_20_28rms_29',['Root mean square (RMS)',['../group___r_m_s.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_73.html b/Documentation/DSP/html/search/groups_73.html
new file mode 100644
index 0000000..feab00e
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_73.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_73.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_73.js b/Documentation/DSP/html/search/groups_73.js
new file mode 100644
index 0000000..4348104
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_73.js
@@ -0,0 +1,11 @@
+var searchData=
+[
+  ['statistics_20functions',['Statistics Functions',['../group__group_stats.html',1,'']]],
+  ['support_20functions',['Support Functions',['../group__group_support.html',1,'']]],
+  ['signal_20convergence_20example',['Signal Convergence Example',['../group___signal_convergence.html',1,'']]],
+  ['sine',['Sine',['../group__sin.html',1,'']]],
+  ['sine_20cosine',['Sine Cosine',['../group___sin_cos.html',1,'']]],
+  ['sinecosine_20example',['SineCosine Example',['../group___sin_cos_example.html',1,'']]],
+  ['square_20root',['Square Root',['../group___s_q_r_t.html',1,'']]],
+  ['standard_20deviation',['Standard deviation',['../group___s_t_d.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_74.html b/Documentation/DSP/html/search/groups_74.html
new file mode 100644
index 0000000..315d58c
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_74.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_74.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_74.js b/Documentation/DSP/html/search/groups_74.js
new file mode 100644
index 0000000..c6dfafc
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_74.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['transform_20functions',['Transform Functions',['../group__group_transforms.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/groups_76.html b/Documentation/DSP/html/search/groups_76.html
new file mode 100644
index 0000000..881bf59
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_76.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="groups_76.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/groups_76.js b/Documentation/DSP/html/search/groups_76.js
new file mode 100644
index 0000000..a02c7b6
--- /dev/null
+++ b/Documentation/DSP/html/search/groups_76.js
@@ -0,0 +1,20 @@
+var searchData=
+[
+  ['vector_20absolute_20value',['Vector Absolute Value',['../group___basic_abs.html',1,'']]],
+  ['vector_20addition',['Vector Addition',['../group___basic_add.html',1,'']]],
+  ['vector_20multiplication',['Vector Multiplication',['../group___basic_mult.html',1,'']]],
+  ['vector_20subtraction',['Vector Subtraction',['../group___basic_sub.html',1,'']]],
+  ['vector_20clarke_20transform',['Vector Clarke Transform',['../group__clarke.html',1,'']]],
+  ['vector_20copy',['Vector Copy',['../group__copy.html',1,'']]],
+  ['vector_20dot_20product',['Vector Dot Product',['../group__dot__prod.html',1,'']]],
+  ['vector_20fill',['Vector Fill',['../group___fill.html',1,'']]],
+  ['vector_20inverse_20clarke_20transform',['Vector Inverse Clarke Transform',['../group__inv__clarke.html',1,'']]],
+  ['vector_20inverse_20park_20transform',['Vector Inverse Park transform',['../group__inv__park.html',1,'']]],
+  ['vector_20negate',['Vector Negate',['../group__negate.html',1,'']]],
+  ['vector_20offset',['Vector Offset',['../group__offset.html',1,'']]],
+  ['vector_20park_20transform',['Vector Park Transform',['../group__park.html',1,'']]],
+  ['vector_20scale',['Vector Scale',['../group__scale.html',1,'']]],
+  ['vector_20shift',['Vector Shift',['../group__shift.html',1,'']]],
+  ['variance',['Variance',['../group__variance.html',1,'']]],
+  ['variance_20example',['Variance Example',['../group___variance_example.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/mag_sel.png b/Documentation/DSP/html/search/mag_sel.png
new file mode 100644
index 0000000..81f6040
--- /dev/null
+++ b/Documentation/DSP/html/search/mag_sel.png
Binary files differ
diff --git a/Documentation/DSP/html/search/nomatches.html b/Documentation/DSP/html/search/nomatches.html
new file mode 100644
index 0000000..b1ded27
--- /dev/null
+++ b/Documentation/DSP/html/search/nomatches.html
@@ -0,0 +1,12 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="NoMatches">No Matches</div>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/pages_63.html b/Documentation/DSP/html/search/pages_63.html
new file mode 100644
index 0000000..3971181
--- /dev/null
+++ b/Documentation/DSP/html/search/pages_63.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_63.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/pages_63.js b/Documentation/DSP/html/search/pages_63.js
new file mode 100644
index 0000000..3712cf6
--- /dev/null
+++ b/Documentation/DSP/html/search/pages_63.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['change_20log',['Change Log',['../_change_log_pg.html',1,'']]],
+  ['cmsis_20dsp_20software_20library',['CMSIS DSP Software Library',['../index.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/pages_64.html b/Documentation/DSP/html/search/pages_64.html
new file mode 100644
index 0000000..f416a91
--- /dev/null
+++ b/Documentation/DSP/html/search/pages_64.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="pages_64.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/pages_64.js b/Documentation/DSP/html/search/pages_64.js
new file mode 100644
index 0000000..038da54
--- /dev/null
+++ b/Documentation/DSP/html/search/pages_64.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['deprecated_20list',['Deprecated List',['../deprecated.html',1,'']]]
+];
diff --git a/Documentation/DSP/html/search/search.css b/Documentation/DSP/html/search/search.css
new file mode 100644
index 0000000..1746d13
--- /dev/null
+++ b/Documentation/DSP/html/search/search.css
@@ -0,0 +1,240 @@
+/*---------------- Search Box */
+
+#FSearchBox {
+    float: left;
+}
+
+#searchli {
+    float: right;
+    display: block;
+    width: 170px;
+    height: 24px;
+}
+
+#MSearchBox {
+    white-space : nowrap;
+    position: absolute;
+    float: none;
+    display: inline;
+    margin-top: 3px;
+    right: 0px;
+    width: 170px;
+    z-index: 102;
+}
+
+#MSearchBox .left
+{
+    display:block;
+    position:absolute;
+    left:10px;
+    width:20px;
+    height:19px;
+    background:url('search_l.png') no-repeat;
+    background-position:right;
+}
+
+#MSearchSelect {
+    display:block;
+    position:absolute;
+    width:20px;
+    height:19px;
+}
+
+.left #MSearchSelect {
+    left:4px;
+}
+
+.right #MSearchSelect {
+    right:5px;
+}
+
+#MSearchField {
+    display:block;
+    position:absolute;
+    height:19px;
+    background:url('search_m.png') repeat-x;
+    border:none;
+    width:116px;
+    margin-left:20px;
+    padding-left:4px;
+    color: #909090;
+    outline: none;
+    font: 9pt Arial, Verdana, sans-serif;
+}
+
+#FSearchBox #MSearchField {
+    margin-left:15px;
+}
+
+#MSearchBox .right {
+    display:block;
+    position:absolute;
+    right:10px;
+    top:0px;
+    width:20px;
+    height:19px;
+    background:url('search_r.png') no-repeat;
+    background-position:left;
+}
+
+#MSearchClose {
+    display: none;
+    position: absolute;
+    top: 4px;
+    background : none;
+    border: none;
+    margin: 0px 4px 0px 0px;
+    padding: 0px 0px;
+    outline: none;
+}
+
+.left #MSearchClose {
+    left: 6px;
+}
+
+.right #MSearchClose {
+    right: 2px;
+}
+
+.MSearchBoxActive #MSearchField {
+    color: #000000;
+}
+
+/*---------------- Search filter selection */
+
+#MSearchSelectWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #90A5CE;
+    background-color: #F9FAFC;
+    z-index: 1;
+    padding-top: 4px;
+    padding-bottom: 4px;
+    -moz-border-radius: 4px;
+    -webkit-border-top-left-radius: 4px;
+    -webkit-border-top-right-radius: 4px;
+    -webkit-border-bottom-left-radius: 4px;
+    -webkit-border-bottom-right-radius: 4px;
+    -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+.SelectItem {
+    font: 8pt Arial, Verdana, sans-serif;
+    padding-left:  2px;
+    padding-right: 12px;
+    border: 0px;
+}
+
+span.SelectionMark {
+    margin-right: 4px;
+    font-family: monospace;
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem {
+    display: block;
+    outline-style: none;
+    color: #000000; 
+    text-decoration: none;
+    padding-left:   6px;
+    padding-right: 12px;
+}
+
+a.SelectItem:focus,
+a.SelectItem:active {
+    color: #000000; 
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem:hover {
+    color: #FFFFFF;
+    background-color: #3D578C;
+    outline-style: none;
+    text-decoration: none;
+    cursor: pointer;
+    display: block;
+}
+
+/*---------------- Search results window */
+
+iframe#MSearchResults {
+    width: 60ex;
+    height: 15em;
+}
+
+#MSearchResultsWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #000;
+    background-color: #EEF1F7;
+}
+
+/* ----------------------------------- */
+
+
+#SRIndex {
+    clear:both; 
+    padding-bottom: 15px;
+}
+
+.SREntry {
+    font-size: 10pt;
+    padding-left: 1ex;
+}
+
+.SRPage .SREntry {
+    font-size: 8pt;
+    padding: 1px 5px;
+}
+
+body.SRPage {
+    margin: 5px 2px;
+}
+
+.SRChildren {
+    padding-left: 3ex; padding-bottom: .5em 
+}
+
+.SRPage .SRChildren {
+    display: none;
+}
+
+.SRSymbol {
+    font-weight: bold; 
+    color: #425E97;
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRScope {
+    display: block;
+    color: #425E97; 
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRSymbol:focus, a.SRSymbol:active,
+a.SRScope:focus, a.SRScope:active {
+    text-decoration: underline;
+}
+
+.SRPage .SRStatus {
+    padding: 2px 5px;
+    font-size: 8pt;
+    font-style: italic;
+}
+
+.SRResult {
+    display: none;
+}
+
+DIV.searchresults {
+    margin-left: 10px;
+    margin-right: 10px;
+}
diff --git a/Documentation/DSP/html/search/search.js b/Documentation/DSP/html/search/search.js
new file mode 100644
index 0000000..9ded8e5
--- /dev/null
+++ b/Documentation/DSP/html/search/search.js
@@ -0,0 +1,815 @@
+// Search script generated by doxygen
+// Copyright (C) 2009 by Dimitri van Heesch.
+
+// The code in this file is loosly based on main.js, part of Natural Docs,
+// which is Copyright (C) 2003-2008 Greg Valure
+// Natural Docs is licensed under the GPL.
+
+var indexSectionsWithContent =
+{
+  0: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010111111111011111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  1: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  2: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  3: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101000100000100000110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  4: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111101011111101110111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  5: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  6: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  7: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  8: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010111101001000110100111001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  9: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011111111001110101110100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+  10: "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
+};
+
+var indexSectionNames =
+{
+  0: "all",
+  1: "classes",
+  2: "files",
+  3: "functions",
+  4: "variables",
+  5: "typedefs",
+  6: "enums",
+  7: "enumvalues",
+  8: "defines",
+  9: "groups",
+  10: "pages"
+};
+
+function convertToId(search)
+{
+  var result = '';
+  for (i=0;i<search.length;i++)
+  {
+    var c = search.charAt(i);
+    var cn = c.charCodeAt(0);
+    if (c.match(/[a-z0-9]/))
+    {
+      result+=c;
+    }
+    else if (cn<16) 
+    {
+      result+="_0"+cn.toString(16);
+    }
+    else 
+    {
+      result+="_"+cn.toString(16);
+    }
+  }
+  return result;
+}
+
+function getXPos(item)
+{
+  var x = 0;
+  if (item.offsetWidth)
+  {
+    while (item && item!=document.body)
+    {
+      x   += item.offsetLeft;
+      item = item.offsetParent;
+    }
+  }
+  return x;
+}
+
+function getYPos(item)
+{
+  var y = 0;
+  if (item.offsetWidth)
+  {
+     while (item && item!=document.body)
+     {
+       y   += item.offsetTop;
+       item = item.offsetParent;
+     }
+  }
+  return y;
+}
+
+/* A class handling everything associated with the search panel.
+
+   Parameters:
+   name - The name of the global variable that will be 
+          storing this instance.  Is needed to be able to set timeouts.
+   resultPath - path to use for external files
+*/
+function SearchBox(name, resultsPath, inFrame, label)
+{
+  if (!name || !resultsPath) {  alert("Missing parameters to SearchBox."); }
+   
+  // ---------- Instance variables
+  this.name                  = name;
+  this.resultsPath           = resultsPath;
+  this.keyTimeout            = 0;
+  this.keyTimeoutLength      = 500;
+  this.closeSelectionTimeout = 300;
+  this.lastSearchValue       = "";
+  this.lastResultsPage       = "";
+  this.hideTimeout           = 0;
+  this.searchIndex           = 0;
+  this.searchActive          = false;
+  this.insideFrame           = inFrame;
+  this.searchLabel           = label;
+
+  // ----------- DOM Elements
+
+  this.DOMSearchField = function()
+  {  return document.getElementById("MSearchField");  }
+
+  this.DOMSearchSelect = function()
+  {  return document.getElementById("MSearchSelect");  }
+
+  this.DOMSearchSelectWindow = function()
+  {  return document.getElementById("MSearchSelectWindow");  }
+
+  this.DOMPopupSearchResults = function()
+  {  return document.getElementById("MSearchResults");  }
+
+  this.DOMPopupSearchResultsWindow = function()
+  {  return document.getElementById("MSearchResultsWindow");  }
+
+  this.DOMSearchClose = function()
+  {  return document.getElementById("MSearchClose"); }
+
+  this.DOMSearchBox = function()
+  {  return document.getElementById("MSearchBox");  }
+
+  // ------------ Event Handlers
+
+  // Called when focus is added or removed from the search field.
+  this.OnSearchFieldFocus = function(isActive)
+  {
+    this.Activate(isActive);
+  }
+
+  this.OnSearchSelectShow = function()
+  {
+    var searchSelectWindow = this.DOMSearchSelectWindow();
+    var searchField        = this.DOMSearchSelect();
+
+    if (this.insideFrame)
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      left += searchField.offsetWidth + 6;
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      left -= searchSelectWindow.offsetWidth;
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+    else
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+
+    // stop selection hide timer
+    if (this.hideTimeout) 
+    {
+      clearTimeout(this.hideTimeout);
+      this.hideTimeout=0;
+    }
+    return false; // to avoid "image drag" default event
+  }
+
+  this.OnSearchSelectHide = function()
+  {
+    this.hideTimeout = setTimeout(this.name +".CloseSelectionWindow()",
+                                  this.closeSelectionTimeout);
+  }
+
+  // Called when the content of the search field is changed.
+  this.OnSearchFieldChange = function(evt)
+  {
+    if (this.keyTimeout) // kill running timer
+    {
+      clearTimeout(this.keyTimeout);
+      this.keyTimeout = 0;
+    }
+
+    var e  = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 || e.keyCode==13)
+    {
+      if (e.shiftKey==1)
+      {
+        this.OnSearchSelectShow();
+        var win=this.DOMSearchSelectWindow(); 
+        for (i=0;i<win.childNodes.length;i++)
+        {
+          var child = win.childNodes[i]; // get span within a
+          if (child.className=='SelectItem')
+          {
+            child.focus();
+            return;
+          }
+        }
+        return;
+      }
+      else if (window.frames.MSearchResults.searchResults)
+      {
+        var elem = window.frames.MSearchResults.searchResults.NavNext(0);
+        if (elem) elem.focus();
+      }
+    }
+    else if (e.keyCode==27) // Escape out of the search field
+    {
+      this.DOMSearchField().blur();
+      this.DOMPopupSearchResultsWindow().style.display = 'none';
+      this.DOMSearchClose().style.display = 'none';
+      this.lastSearchValue = '';
+      this.Activate(false);
+      return;
+    }
+
+    // strip whitespaces
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+
+    if (searchValue != this.lastSearchValue) // search value has changed
+    {
+      if (searchValue != "") // non-empty search
+      {
+        // set timer for search update
+        this.keyTimeout = setTimeout(this.name + '.Search()',
+                                     this.keyTimeoutLength);
+      }
+      else // empty search field
+      {
+        this.DOMPopupSearchResultsWindow().style.display = 'none';
+        this.DOMSearchClose().style.display = 'none';
+        this.lastSearchValue = '';
+      }
+    }
+  }
+
+  this.SelectItemCount = function(id)
+  {
+    var count=0;
+    var win=this.DOMSearchSelectWindow(); 
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        count++;
+      }
+    }
+    return count;
+  }
+
+  this.SelectItemSet = function(id)
+  {
+    var i,j=0;
+    var win=this.DOMSearchSelectWindow(); 
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        var node = child.firstChild;
+        if (j==id)
+        {
+          node.innerHTML='&#8226;';
+        }
+        else
+        {
+          node.innerHTML='&#160;';
+        }
+        j++;
+      }
+    }
+  }
+
+  // Called when an search filter selection is made.
+  // set item with index id as the active item
+  this.OnSelectItem = function(id)
+  {
+    this.searchIndex = id;
+    this.SelectItemSet(id);
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+    if (searchValue!="" && this.searchActive) // something was found -> do a search
+    {
+      this.Search();
+    }
+  }
+
+  this.OnSearchSelectKey = function(evt)
+  {
+    var e = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 && this.searchIndex<this.SelectItemCount()) // Down
+    {
+      this.searchIndex++;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==38 && this.searchIndex>0) // Up
+    {
+      this.searchIndex--;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==13 || e.keyCode==27)
+    {
+      this.OnSelectItem(this.searchIndex);
+      this.CloseSelectionWindow();
+      this.DOMSearchField().focus();
+    }
+    return false;
+  }
+
+  // --------- Actions
+
+  // Closes the results window.
+  this.CloseResultsWindow = function()
+  {
+    this.DOMPopupSearchResultsWindow().style.display = 'none';
+    this.DOMSearchClose().style.display = 'none';
+    this.Activate(false);
+  }
+
+  this.CloseSelectionWindow = function()
+  {
+    this.DOMSearchSelectWindow().style.display = 'none';
+  }
+
+  // Performs a search.
+  this.Search = function()
+  {
+    this.keyTimeout = 0;
+
+    // strip leading whitespace
+    var searchValue = this.DOMSearchField().value.replace(/^ +/, "");
+
+    var code = searchValue.toLowerCase().charCodeAt(0);
+    var hexCode;
+    if (code<16) 
+    {
+      hexCode="0"+code.toString(16);
+    }
+    else 
+    {
+      hexCode=code.toString(16);
+    }
+
+    var resultsPage;
+    var resultsPageWithSearch;
+    var hasResultsPage;
+
+    if (indexSectionsWithContent[this.searchIndex].charAt(code) == '1')
+    {
+       resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html';
+       resultsPageWithSearch = resultsPage+'?'+escape(searchValue);
+       hasResultsPage = true;
+    }
+    else // nothing available for this search term
+    {
+       resultsPage = this.resultsPath + '/nomatches.html';
+       resultsPageWithSearch = resultsPage;
+       hasResultsPage = false;
+    }
+
+    window.frames.MSearchResults.location = resultsPageWithSearch;  
+    var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow();
+
+    if (domPopupSearchResultsWindow.style.display!='block')
+    {
+       var domSearchBox = this.DOMSearchBox();
+       this.DOMSearchClose().style.display = 'inline';
+       if (this.insideFrame)
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         domPopupSearchResultsWindow.style.position = 'relative';
+         domPopupSearchResultsWindow.style.display  = 'block';
+         var width = document.body.clientWidth - 8; // the -8 is for IE :-(
+         domPopupSearchResultsWindow.style.width    = width + 'px';
+         domPopupSearchResults.style.width          = width + 'px';
+       }
+       else
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth;
+         var top  = getYPos(domSearchBox) + 20;  // domSearchBox.offsetHeight + 1;
+         domPopupSearchResultsWindow.style.display = 'block';
+         left -= domPopupSearchResults.offsetWidth;
+         domPopupSearchResultsWindow.style.top     = top  + 'px';
+         domPopupSearchResultsWindow.style.left    = left + 'px';
+       }
+    }
+
+    this.lastSearchValue = searchValue;
+    this.lastResultsPage = resultsPage;
+  }
+
+  // -------- Activation Functions
+
+  // Activates or deactivates the search panel, resetting things to 
+  // their default values if necessary. 
+  this.Activate = function(isActive)
+  {
+    if (isActive || // open it
+        this.DOMPopupSearchResultsWindow().style.display == 'block' 
+       )
+    {
+      this.DOMSearchBox().className = 'MSearchBoxActive';
+
+      var searchField = this.DOMSearchField();
+
+      if (searchField.value == this.searchLabel) // clear "Search" term upon entry
+      {  
+        searchField.value = '';  
+        this.searchActive = true;
+      }
+    }
+    else if (!isActive) // directly remove the panel
+    {
+      this.DOMSearchBox().className = 'MSearchBoxInactive';
+      this.DOMSearchField().value   = this.searchLabel;
+      this.searchActive             = false;
+      this.lastSearchValue          = ''
+      this.lastResultsPage          = '';
+    }
+  }
+}
+
+// -----------------------------------------------------------------------
+
+// The class that handles everything on the search results page.
+function SearchResults(name)
+{
+    // The number of matches from the last run of <Search()>.
+    this.lastMatchCount = 0;
+    this.lastKey = 0;
+    this.repeatOn = false;
+
+    // Toggles the visibility of the passed element ID.
+    this.FindChildElement = function(id)
+    {
+      var parentElement = document.getElementById(id);
+      var element = parentElement.firstChild;
+
+      while (element && element!=parentElement)
+      {
+        if (element.nodeName == 'DIV' && element.className == 'SRChildren')
+        {
+          return element;
+        }
+
+        if (element.nodeName == 'DIV' && element.hasChildNodes())
+        {  
+           element = element.firstChild;  
+        }
+        else if (element.nextSibling)
+        {  
+           element = element.nextSibling;  
+        }
+        else
+        {
+          do
+          {
+            element = element.parentNode;
+          }
+          while (element && element!=parentElement && !element.nextSibling);
+
+          if (element && element!=parentElement)
+          {  
+            element = element.nextSibling;  
+          }
+        }
+      }
+    }
+
+    this.Toggle = function(id)
+    {
+      var element = this.FindChildElement(id);
+      if (element)
+      {
+        if (element.style.display == 'block')
+        {
+          element.style.display = 'none';
+        }
+        else
+        {
+          element.style.display = 'block';
+        }
+      }
+    }
+
+    // Searches for the passed string.  If there is no parameter,
+    // it takes it from the URL query.
+    //
+    // Always returns true, since other documents may try to call it
+    // and that may or may not be possible.
+    this.Search = function(search)
+    {
+      if (!search) // get search word from URL
+      {
+        search = window.location.search;
+        search = search.substring(1);  // Remove the leading '?'
+        search = unescape(search);
+      }
+
+      search = search.replace(/^ +/, ""); // strip leading spaces
+      search = search.replace(/ +$/, ""); // strip trailing spaces
+      search = search.toLowerCase();
+      search = convertToId(search);
+
+      var resultRows = document.getElementsByTagName("div");
+      var matches = 0;
+
+      var i = 0;
+      while (i < resultRows.length)
+      {
+        var row = resultRows.item(i);
+        if (row.className == "SRResult")
+        {
+          var rowMatchName = row.id.toLowerCase();
+          rowMatchName = rowMatchName.replace(/^sr\d*_/, ''); // strip 'sr123_'
+
+          if (search.length<=rowMatchName.length && 
+             rowMatchName.substr(0, search.length)==search)
+          {
+            row.style.display = 'block';
+            matches++;
+          }
+          else
+          {
+            row.style.display = 'none';
+          }
+        }
+        i++;
+      }
+      document.getElementById("Searching").style.display='none';
+      if (matches == 0) // no results
+      {
+        document.getElementById("NoMatches").style.display='block';
+      }
+      else // at least one result
+      {
+        document.getElementById("NoMatches").style.display='none';
+      }
+      this.lastMatchCount = matches;
+      return true;
+    }
+
+    // return the first item with index index or higher that is visible
+    this.NavNext = function(index)
+    {
+      var focusItem;
+      while (1)
+      {
+        var focusName = 'Item'+index;
+        focusItem = document.getElementById(focusName);
+        if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
+        {
+          break;
+        }
+        else if (!focusItem) // last element
+        {
+          break;
+        }
+        focusItem=null;
+        index++;
+      }
+      return focusItem;
+    }
+
+    this.NavPrev = function(index)
+    {
+      var focusItem;
+      while (1)
+      {
+        var focusName = 'Item'+index;
+        focusItem = document.getElementById(focusName);
+        if (focusItem && focusItem.parentNode.parentNode.style.display=='block')
+        {
+          break;
+        }
+        else if (!focusItem) // last element
+        {
+          break;
+        }
+        focusItem=null;
+        index--;
+      }
+      return focusItem;
+    }
+
+    this.ProcessKeys = function(e)
+    {
+      if (e.type == "keydown") 
+      {
+        this.repeatOn = false;
+        this.lastKey = e.keyCode;
+      }
+      else if (e.type == "keypress")
+      {
+        if (!this.repeatOn)
+        {
+          if (this.lastKey) this.repeatOn = true;
+          return false; // ignore first keypress after keydown
+        }
+      }
+      else if (e.type == "keyup")
+      {
+        this.lastKey = 0;
+        this.repeatOn = false;
+      }
+      return this.lastKey!=0;
+    }
+
+    this.Nav = function(evt,itemIndex) 
+    {
+      var e  = (evt) ? evt : window.event; // for IE
+      if (e.keyCode==13) return true;
+      if (!this.ProcessKeys(e)) return false;
+
+      if (this.lastKey==38) // Up
+      {
+        var newIndex = itemIndex-1;
+        var focusItem = this.NavPrev(newIndex);
+        if (focusItem)
+        {
+          var child = this.FindChildElement(focusItem.parentNode.parentNode.id);
+          if (child && child.style.display == 'block') // children visible
+          { 
+            var n=0;
+            var tmpElem;
+            while (1) // search for last child
+            {
+              tmpElem = document.getElementById('Item'+newIndex+'_c'+n);
+              if (tmpElem)
+              {
+                focusItem = tmpElem;
+              }
+              else // found it!
+              {
+                break;
+              }
+              n++;
+            }
+          }
+        }
+        if (focusItem)
+        {
+          focusItem.focus();
+        }
+        else // return focus to search field
+        {
+           parent.document.getElementById("MSearchField").focus();
+        }
+      }
+      else if (this.lastKey==40) // Down
+      {
+        var newIndex = itemIndex+1;
+        var focusItem;
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem && elem.style.display == 'block') // children visible
+        {
+          focusItem = document.getElementById('Item'+itemIndex+'_c0');
+        }
+        if (!focusItem) focusItem = this.NavNext(newIndex);
+        if (focusItem)  focusItem.focus();
+      }
+      else if (this.lastKey==39) // Right
+      {
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem) elem.style.display = 'block';
+      }
+      else if (this.lastKey==37) // Left
+      {
+        var item = document.getElementById('Item'+itemIndex);
+        var elem = this.FindChildElement(item.parentNode.parentNode.id);
+        if (elem) elem.style.display = 'none';
+      }
+      else if (this.lastKey==27) // Escape
+      {
+        parent.searchBox.CloseResultsWindow();
+        parent.document.getElementById("MSearchField").focus();
+      }
+      else if (this.lastKey==13) // Enter
+      {
+        return true;
+      }
+      return false;
+    }
+
+    this.NavChild = function(evt,itemIndex,childIndex)
+    {
+      var e  = (evt) ? evt : window.event; // for IE
+      if (e.keyCode==13) return true;
+      if (!this.ProcessKeys(e)) return false;
+
+      if (this.lastKey==38) // Up
+      {
+        if (childIndex>0)
+        {
+          var newIndex = childIndex-1;
+          document.getElementById('Item'+itemIndex+'_c'+newIndex).focus();
+        }
+        else // already at first child, jump to parent
+        {
+          document.getElementById('Item'+itemIndex).focus();
+        }
+      }
+      else if (this.lastKey==40) // Down
+      {
+        var newIndex = childIndex+1;
+        var elem = document.getElementById('Item'+itemIndex+'_c'+newIndex);
+        if (!elem) // last child, jump to parent next parent
+        {
+          elem = this.NavNext(itemIndex+1);
+        }
+        if (elem)
+        {
+          elem.focus();
+        } 
+      }
+      else if (this.lastKey==27) // Escape
+      {
+        parent.searchBox.CloseResultsWindow();
+        parent.document.getElementById("MSearchField").focus();
+      }
+      else if (this.lastKey==13) // Enter
+      {
+        return true;
+      }
+      return false;
+    }
+}
+
+function setKeyActions(elem,action)
+{
+  elem.setAttribute('onkeydown',action);
+  elem.setAttribute('onkeypress',action);
+  elem.setAttribute('onkeyup',action);
+}
+
+function setClassAttr(elem,attr)
+{
+  elem.setAttribute('class',attr);
+  elem.setAttribute('className',attr);
+}
+
+function createResults()
+{
+  var results = document.getElementById("SRResults");
+  for (var e=0; e<searchData.length; e++)
+  {
+    var id = searchData[e][0];
+    var srResult = document.createElement('div');
+    srResult.setAttribute('id','SR_'+id);
+    setClassAttr(srResult,'SRResult');
+    var srEntry = document.createElement('div');
+    setClassAttr(srEntry,'SREntry');
+    var srLink = document.createElement('a');
+    srLink.setAttribute('id','Item'+e);
+    setKeyActions(srLink,'return searchResults.Nav(event,'+e+')');
+    setClassAttr(srLink,'SRSymbol');
+    srLink.innerHTML = searchData[e][1][0];
+    srEntry.appendChild(srLink);
+    if (searchData[e][1].length==2) // single result
+    {
+      srLink.setAttribute('href',searchData[e][1][1][0]);
+      if (searchData[e][1][1][1])
+      {
+       srLink.setAttribute('target','_parent');
+      }
+      var srScope = document.createElement('span');
+      setClassAttr(srScope,'SRScope');
+      srScope.innerHTML = searchData[e][1][1][2];
+      srEntry.appendChild(srScope);
+    }
+    else // multiple results
+    {
+      srLink.setAttribute('href','javascript:searchResults.Toggle("SR_'+id+'")');
+      var srChildren = document.createElement('div');
+      setClassAttr(srChildren,'SRChildren');
+      for (var c=0; c<searchData[e][1].length-1; c++)
+      {
+        var srChild = document.createElement('a');
+        srChild.setAttribute('id','Item'+e+'_c'+c);
+        setKeyActions(srChild,'return searchResults.NavChild(event,'+e+','+c+')');
+        setClassAttr(srChild,'SRScope');
+        srChild.setAttribute('href',searchData[e][1][c+1][0]);
+        if (searchData[e][1][c+1][1])
+        {
+         srChild.setAttribute('target','_parent');
+        }
+        srChild.innerHTML = searchData[e][1][c+1][2];
+        srChildren.appendChild(srChild);
+      }
+      srEntry.appendChild(srChildren);
+    }
+    srResult.appendChild(srEntry);
+    results.appendChild(srResult);
+  }
+}
+
diff --git a/Documentation/DSP/html/search/search_l.png b/Documentation/DSP/html/search/search_l.png
new file mode 100644
index 0000000..c872f4d
--- /dev/null
+++ b/Documentation/DSP/html/search/search_l.png
Binary files differ
diff --git a/Documentation/DSP/html/search/search_m.png b/Documentation/DSP/html/search/search_m.png
new file mode 100644
index 0000000..b429a16
--- /dev/null
+++ b/Documentation/DSP/html/search/search_m.png
Binary files differ
diff --git a/Documentation/DSP/html/search/search_r.png b/Documentation/DSP/html/search/search_r.png
new file mode 100644
index 0000000..97ee8b4
--- /dev/null
+++ b/Documentation/DSP/html/search/search_r.png
Binary files differ
diff --git a/Documentation/DSP/html/search/typedefs_66.html b/Documentation/DSP/html/search/typedefs_66.html
new file mode 100644
index 0000000..d0276b9
--- /dev/null
+++ b/Documentation/DSP/html/search/typedefs_66.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="typedefs_66.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/typedefs_66.js b/Documentation/DSP/html/search/typedefs_66.js
new file mode 100644
index 0000000..2b580b2
--- /dev/null
+++ b/Documentation/DSP/html/search/typedefs_66.js
@@ -0,0 +1,5 @@
+var searchData=
+[
+  ['float32_5ft',['float32_t',['../arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715',1,'arm_math.h']]],
+  ['float64_5ft',['float64_t',['../arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4',1,'arm_math.h']]]
+];
diff --git a/Documentation/DSP/html/search/typedefs_71.html b/Documentation/DSP/html/search/typedefs_71.html
new file mode 100644
index 0000000..348f7ff
--- /dev/null
+++ b/Documentation/DSP/html/search/typedefs_71.html
@@ -0,0 +1,25 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="typedefs_71.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/Documentation/DSP/html/search/typedefs_71.js b/Documentation/DSP/html/search/typedefs_71.js
new file mode 100644
index 0000000..8efe4a8
--- /dev/null
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+<p>Instance structure for the floating-point bilinear interpolation function.  
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_bilinear_interp_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 bilinear interpolation function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<tr class="memitem:a50d75b1316cee3e0dfad6dcc4c9a2954"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__bilinear__interp__instance__q15.html#a50d75b1316cee3e0dfad6dcc4c9a2954">pData</a></td></tr>
+<tr class="separator:a50d75b1316cee3e0dfad6dcc4c9a2954"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_bilinear_interp_q15()</a>.</p>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of rows in the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_bilinear_interp_q15()</a>.</p>
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+</div>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gaa8dffbc2a01bb7accf231384498ec85e">arm_bilinear_interp_q15()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__bilinear__interp__instance__q15.html">arm_bilinear_interp_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: arm_bilinear_interp_instance_q31 Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+ </tr>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+<!-- iframe showing the search results (closed by default) -->
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+</div>
+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_bilinear_interp_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 bilinear interpolation function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a2082e3eac56354d75291f03e96ce4aa5"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__bilinear__interp__instance__q31.html#a2082e3eac56354d75291f03e96ce4aa5">numRows</a></td></tr>
+<tr class="separator:a2082e3eac56354d75291f03e96ce4aa5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a6c3eff4eb17ff1d43f170efb84713a2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a843eae0c9db5f815e77e1aaf9afea358"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__bilinear__interp__instance__q31.html#a843eae0c9db5f815e77e1aaf9afea358">pData</a></td></tr>
+<tr class="separator:a843eae0c9db5f815e77e1aaf9afea358"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of columns in the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_bilinear_interp_q31()</a>.</p>
+
+</div>
+</div>
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+          <td class="memname">uint16_t arm_bilinear_interp_instance_q31::numRows</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of rows in the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_bilinear_interp_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a843eae0c9db5f815e77e1aaf9afea358"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#ga202a033c8a2ad3678b136f93153b6d13">arm_bilinear_interp_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__bilinear__interp__instance__q31.html">arm_bilinear_interp_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
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+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 bilinear interpolation function.  
+</p>
+<table class="memberdecls">
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+Data Fields</h2></td></tr>
+<tr class="memitem:ad5a8067cab5f9ea4688b11a623e16607"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__bilinear__interp__instance__q7.html#ad5a8067cab5f9ea4688b11a623e16607">numRows</a></td></tr>
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+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_bilinear_interp_q7()</a>.</p>
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+<p>number of rows in the data table. </p>
+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_bilinear_interp_q7()</a>.</p>
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+
+<p>Referenced by <a class="el" href="group___bilinear_interpolate.html#gade8db9706a3ae9ad03b2750a239d2ee6">arm_bilinear_interp_q7()</a>.</p>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_biquad_cas_df1_32x64_ins_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the high precision Q31 Biquad cascade filter.  
+ <a href="structarm__biquad__cas__df1__32x64__ins__q31.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
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+<tr class="memitem:a4c899cdfaf2bb955323e93637bd662e0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html#a4c899cdfaf2bb955323e93637bd662e0">pState</a></td></tr>
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+<tr class="separator:a8e9d58e8dba5aa3b2fc4f36d2ed07996"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#_a16">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad7cb9a9f5df8f4fcfc7a0b633672e574"></a>
+<div class="memitem">
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>.</p>
+
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_biquad_cas_df1_32x64_ins_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e9d58e8dba5aa3b2fc4f36d2ed07996"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname">uint8_t arm_biquad_cas_df1_32x64_ins_q31::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>additional shift, in bits, applied to each output sample. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a5aea1cb12fc02d9d44c8abf217eaa5c6">q63_t</a>* arm_biquad_cas_df1_32x64_ins_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of state coefficients. The array is of length 4*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga44900cecb8083afcaabf905ffcd656bb">arm_biquad_cas_df1_32x64_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1__32x64.html#ga953a83e69685de6575cff37feb358a93">arm_biquad_cas_df1_32x64_q31()</a>.</p>
+
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+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__biquad__cas__df1__32x64__ins__q31.html">arm_biquad_cas_df1_32x64_ins_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+    [ "postShift", "structarm__biquad__cas__df1__32x64__ins__q31.html#a8e9d58e8dba5aa3b2fc4f36d2ed07996", null ],
+    [ "pState", "structarm__biquad__cas__df1__32x64__ins__q31.html#a4c899cdfaf2bb955323e93637bd662e0", null ]
+];
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+<title>arm_biquad_cascade_df2T_instance_f32 Struct Reference</title>
+<title>CMSIS-DSP: arm_biquad_cascade_df2T_instance_f32 Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_biquad_cascade_df2T_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point transposed direct form II Biquad cascade filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a4d17958c33c3d0a905f974bac50f033f"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a4d17958c33c3d0a905f974bac50f033f">numStages</a></td></tr>
+<tr class="separator:a4d17958c33c3d0a905f974bac50f033f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a24d223addfd926a7177088cf2efe76b1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a24d223addfd926a7177088cf2efe76b1">pState</a></td></tr>
+<tr class="separator:a24d223addfd926a7177088cf2efe76b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49a24fe1b6ad3b0b26779c32d8d80b2e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html#a49a24fe1b6ad3b0b26779c32d8d80b2e">pCoeffs</a></td></tr>
+<tr class="separator:a49a24fe1b6ad3b0b26779c32d8d80b2e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a4d17958c33c3d0a905f974bac50f033f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_biquad_cascade_df2T_instance_f32::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a49a24fe1b6ad3b0b26779c32d8d80b2e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_biquad_cascade_df2T_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32()</a>.</p>
+
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+<div class="memitem">
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_biquad_cascade_df2T_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of state coefficients. The array is of length 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#ga114f373fbc16a314e9f293c7c7649c7f">arm_biquad_cascade_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga70eaddf317a4a8bde6bd6a97df67fedd">arm_biquad_cascade_df2T_init_f32()</a>.</p>
+
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f32.html">arm_biquad_cascade_df2T_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+];
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_biquad_cascade_df2T_instance_f64 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point transposed direct form II Biquad cascade filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ad55380ff835b533aa5168f836db8a4de"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html#ad55380ff835b533aa5168f836db8a4de">numStages</a></td></tr>
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+<tr class="separator:ae2f0180f9038c0393e1d6921bb3b878b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad55380ff835b533aa5168f836db8a4de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_biquad_cascade_df2T_instance_f64::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64()</a>.</p>
+
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+</div>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64()</a>.</p>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ac55f3ae81b5bc9053760baacf57e47f4">float64_t</a>* arm_biquad_cascade_df2T_instance_f64::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of state coefficients. The array is of length 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gaa8735dda5f3f36d0936283794c2aa771">arm_biquad_cascade_df2T_f64()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga12dc5d8e8892806ad70e79ca2ff9f86e">arm_biquad_cascade_df2T_init_f64()</a>.</p>
+
+</div>
+</div>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__biquad__cascade__df2_t__instance__f64.html">arm_biquad_cascade_df2T_instance_f64</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/DSP/html/structarm__biquad__cascade__df2_t__instance__f64.js b/Documentation/DSP/html/structarm__biquad__cascade__df2_t__instance__f64.js
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_biquad_cascade_stereo_df2T_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point transposed direct form II Biquad cascade filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5655328252da5c2c2425ceed253bc4f1"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a5655328252da5c2c2425ceed253bc4f1">numStages</a></td></tr>
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+<tr class="memitem:a2cb00048bb1fe957a03c1ff56dfaf8f0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html#a2cb00048bb1fe957a03c1ff56dfaf8f0">pState</a></td></tr>
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+<tr class="separator:a58b15644de62a632c5e9d4a563569dc6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a5655328252da5c2c2425ceed253bc4f1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_biquad_cascade_stereo_df2T_instance_f32::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32()</a>.</p>
+
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32()</a>.</p>
+
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_biquad_cascade_stereo_df2T_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of state coefficients. The array is of length 4*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f2_t.html#gac75de449c3e4f733477d81bd0ada5eec">arm_biquad_cascade_stereo_df2T_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f2_t.html#ga405197c89fe4d34003efd23786296425">arm_biquad_cascade_stereo_df2T_init_f32()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__biquad__cascade__stereo__df2_t__instance__f32.html">arm_biquad_cascade_stereo_df2T_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<div class="title">arm_biquad_casd_df1_inst_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point Biquad cascade filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:af69820c37a87252c46453e4cfe120585"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__f32.html#af69820c37a87252c46453e4cfe120585">numStages</a></td></tr>
+<tr class="separator:af69820c37a87252c46453e4cfe120585"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8c245d79e0d8cfabc82409d4b54fb682"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__f32.html#a8c245d79e0d8cfabc82409d4b54fb682">pState</a></td></tr>
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+<tr class="separator:af9df3820576fb921809d1462c9c6d16c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
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+          <td class="memname">uint32_t arm_biquad_casd_df1_inst_f32::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32()</a>.</p>
+
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+        </tr>
+      </table>
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+<p>Points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32()</a>.</p>
+
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+</div><div class="memdoc">
+<p>Points to the array of state coefficients. The array is of length 4*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaa0dbe330d763e3c1d8030b3ef12d5bdc">arm_biquad_cascade_df1_f32()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga8e73b69a788e681a61bccc8959d823c5">arm_biquad_cascade_df1_init_f32()</a>.</p>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<div class="title">arm_biquad_casd_df1_inst_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 Biquad cascade filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ad6d95e70abcf4ff1300181415ad92153"><td class="memItemLeft" align="right" valign="top">int8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153">numStages</a></td></tr>
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+<tr class="memitem:ada7e9d6269e6ed4eacf8f68729e9832d"><td class="memItemLeft" align="right" valign="top">int8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d">postShift</a></td></tr>
+<tr class="separator:ada7e9d6269e6ed4eacf8f68729e9832d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad6d95e70abcf4ff1300181415ad92153"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int8_t arm_biquad_casd_df1_inst_q15::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1edaacdebb5b09d7635bf20c779855fc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_biquad_casd_df1_inst_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada7e9d6269e6ed4eacf8f68729e9832d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int8_t arm_biquad_casd_df1_inst_q15::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Additional shift, in bits, applied to each output sample. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5481104ef2f8f81360b80b47d69ae932"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_biquad_casd_df1_inst_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Points to the array of state coefficients. The array is of length 4*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#gaffb9792c0220882efd4c58f3c6a05fd7">arm_biquad_cascade_df1_fast_q15()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gad54c724132f6d742a444eb6df0e9c731">arm_biquad_cascade_df1_init_q15()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#gadd66a0aefdc645031d607b0a5b37a942">arm_biquad_cascade_df1_q15()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__biquad__casd__df1__inst__q15.html">arm_biquad_casd_df1_inst_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q15.js b/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q15.js
new file mode 100644
index 0000000..2ca2a56
--- /dev/null
+++ b/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q15.js
@@ -0,0 +1,7 @@
+var structarm__biquad__casd__df1__inst__q15 =
+[
+    [ "numStages", "structarm__biquad__casd__df1__inst__q15.html#ad6d95e70abcf4ff1300181415ad92153", null ],
+    [ "pCoeffs", "structarm__biquad__casd__df1__inst__q15.html#a1edaacdebb5b09d7635bf20c779855fc", null ],
+    [ "postShift", "structarm__biquad__casd__df1__inst__q15.html#ada7e9d6269e6ed4eacf8f68729e9832d", null ],
+    [ "pState", "structarm__biquad__casd__df1__inst__q15.html#a5481104ef2f8f81360b80b47d69ae932", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q31.html b/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q31.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>arm_biquad_casd_df1_inst_q31 Struct Reference</title>
+<title>CMSIS-DSP: arm_biquad_casd_df1_inst_q31 Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_biquad_casd_df1_inst_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 Biquad cascade filter.  
+ <a href="structarm__biquad__casd__df1__inst__q31.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a2c2b579f1df1d8273a5d9d945c27e1b2"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2">numStages</a></td></tr>
+<tr class="separator:a2c2b579f1df1d8273a5d9d945c27e1b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5dcf4727f58eb4e8e8b392508d8657bb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a5dcf4727f58eb4e8e8b392508d8657bb">pState</a></td></tr>
+<tr class="separator:a5dcf4727f58eb4e8e8b392508d8657bb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa62366c632f3b5305086f841f079dbd2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2">pCoeffs</a></td></tr>
+<tr class="separator:aa62366c632f3b5305086f841f079dbd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a636c7fbe09ec4bef0bc0a4b4e2151cbe"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe">postShift</a></td></tr>
+<tr class="separator:a636c7fbe09ec4bef0bc0a4b4e2151cbe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_graphic_equalizer_example_q31_8c-example.html#_a17">arm_graphic_equalizer_example_q31.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a2c2b579f1df1d8273a5d9d945c27e1b2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_biquad_casd_df1_inst_q31::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of 2nd order stages in the filter. Overall order is 2*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa62366c632f3b5305086f841f079dbd2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_biquad_casd_df1_inst_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Points to the array of coefficients. The array is of length 5*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a636c7fbe09ec4bef0bc0a4b4e2151cbe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_biquad_casd_df1_inst_q31::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Additional shift, in bits, applied to each output sample. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5dcf4727f58eb4e8e8b392508d8657bb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_biquad_casd_df1_inst_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Points to the array of state coefficients. The array is of length 4*numStages. </p>
+
+<p>Referenced by <a class="el" href="group___biquad_cascade_d_f1.html#ga456390f5e448afad3a38bed7d6e380e3">arm_biquad_cascade_df1_fast_q31()</a>, <a class="el" href="group___biquad_cascade_d_f1.html#gaf42a44f9b16d61e636418c83eefe577b">arm_biquad_cascade_df1_init_q31()</a>, and <a class="el" href="group___biquad_cascade_d_f1.html#ga27b0c54da702713976e5202d20b4473f">arm_biquad_cascade_df1_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__biquad__casd__df1__inst__q31.html">arm_biquad_casd_df1_inst_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q31.js b/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q31.js
new file mode 100644
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--- /dev/null
+++ b/Documentation/DSP/html/structarm__biquad__casd__df1__inst__q31.js
@@ -0,0 +1,7 @@
+var structarm__biquad__casd__df1__inst__q31 =
+[
+    [ "numStages", "structarm__biquad__casd__df1__inst__q31.html#a2c2b579f1df1d8273a5d9d945c27e1b2", null ],
+    [ "pCoeffs", "structarm__biquad__casd__df1__inst__q31.html#aa62366c632f3b5305086f841f079dbd2", null ],
+    [ "postShift", "structarm__biquad__casd__df1__inst__q31.html#a636c7fbe09ec4bef0bc0a4b4e2151cbe", null ],
+    [ "pState", "structarm__biquad__casd__df1__inst__q31.html#a5dcf4727f58eb4e8e8b392508d8657bb", null ]
+];
\ No newline at end of file
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>arm_cfft_instance_f32 Struct Reference</title>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:acd8f9e9540e3dd348212726e5d6aaa95"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__f32.html#acd8f9e9540e3dd348212726e5d6aaa95">fftLen</a></td></tr>
+<tr class="separator:acd8f9e9540e3dd348212726e5d6aaa95"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a59cc6f753f1498716e1444ac054c06de"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__f32.html#a59cc6f753f1498716e1444ac054c06de">pTwiddle</a></td></tr>
+<tr class="separator:a59cc6f753f1498716e1444ac054c06de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a21ceaf59a1bb8440af57c28d2dd9bbab"><td class="memItemLeft" align="right" valign="top">const uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__f32.html#a21ceaf59a1bb8440af57c28d2dd9bbab">pBitRevTable</a></td></tr>
+<tr class="separator:a21ceaf59a1bb8440af57c28d2dd9bbab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3ba329ed153d182746376208e773d648"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__f32.html#a3ba329ed153d182746376208e773d648">bitRevLength</a></td></tr>
+<tr class="separator:a3ba329ed153d182746376208e773d648"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a3ba329ed153d182746376208e773d648"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_cfft_instance_f32::bitRevLength</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal table length. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd8f9e9540e3dd348212726e5d6aaa95"></a>
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+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_cfft_instance_f32::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32()</a>, <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>, and <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
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+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t* arm_cfft_instance_f32::pBitRevTable</td>
+        </tr>
+      </table>
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+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_cfft_instance_f32::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gade0f9c4ff157b6b9c72a1eafd86ebf80">arm_cfft_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#ae99e2b173033e9910058869bdf0619d9">arm_cfft_radix8by2_f32()</a>, <a class="el" href="arm__cfft__f32_8c.html#a4bb346f59bca06cebe0defc8e15b69a6">arm_cfft_radix8by4_f32()</a>, and <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_cfft_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the fixed-point CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5f9e1d3a8c127ee323b5e6929aeb90df"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q15.html#a5f9e1d3a8c127ee323b5e6929aeb90df">fftLen</a></td></tr>
+<tr class="separator:a5f9e1d3a8c127ee323b5e6929aeb90df"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afdaf12ce4687cec021c5ae73d0987a3f"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q15.html#afdaf12ce4687cec021c5ae73d0987a3f">pTwiddle</a></td></tr>
+<tr class="separator:afdaf12ce4687cec021c5ae73d0987a3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a738907cf34bdbbaf724414ac2decbc3c"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q15.html#a738907cf34bdbbaf724414ac2decbc3c">bitRevLength</a></td></tr>
+<tr class="separator:a738907cf34bdbbaf724414ac2decbc3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a738907cf34bdbbaf724414ac2decbc3c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_instance_q15::bitRevLength</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal table length. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
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+          <td class="memname">uint16_t arm_cfft_instance_q15::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9160b80243b99a0b6e2f75ddb5cf0ae"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t* arm_cfft_instance_q15::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afdaf12ce4687cec021c5ae73d0987a3f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_cfft_instance_q15::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga68cdacd2267a2967955e40e6b7ec1229">arm_cfft_q15()</a>.</p>
+
+</div>
+</div>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the fixed-point CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a4406f23e8fd0bff8d555225612e2a2a8"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q31.html#a4406f23e8fd0bff8d555225612e2a2a8">fftLen</a></td></tr>
+<tr class="separator:a4406f23e8fd0bff8d555225612e2a2a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af751114feb91de3ace8600e91bdd0872"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q31.html#af751114feb91de3ace8600e91bdd0872">pTwiddle</a></td></tr>
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+<tr class="memitem:a8a464461649f023325ced1e10470f5d0"><td class="memItemLeft" align="right" valign="top">const uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q31.html#a8a464461649f023325ced1e10470f5d0">pBitRevTable</a></td></tr>
+<tr class="separator:a8a464461649f023325ced1e10470f5d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2250fa6b8fe73292c5418c50c0549f87"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__instance__q31.html#a2250fa6b8fe73292c5418c50c0549f87">bitRevLength</a></td></tr>
+<tr class="separator:a2250fa6b8fe73292c5418c50c0549f87"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a2250fa6b8fe73292c5418c50c0549f87"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_cfft_instance_q31::bitRevLength</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal table length. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4406f23e8fd0bff8d555225612e2a2a8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_cfft_instance_q31::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const uint16_t* arm_cfft_instance_q31::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">const <a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_cfft_instance_q31::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5a0008bd997ab6e2e299ef2fb272fb4b">arm_cfft_q31()</a>.</p>
+
+</div>
+</div>
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+<!-- start footer part -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix2_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a2f915a1c29635c1623086aaaa726be8f"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#a2f915a1c29635c1623086aaaa726be8f">fftLen</a></td></tr>
+<tr class="separator:a2f915a1c29635c1623086aaaa726be8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8dbe98d2c924e35e0a3fed2fe948176f"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#a8dbe98d2c924e35e0a3fed2fe948176f">ifftFlag</a></td></tr>
+<tr class="separator:a8dbe98d2c924e35e0a3fed2fe948176f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af713b4ac5256a19bc965c89fe3005fa3"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#af713b4ac5256a19bc965c89fe3005fa3">bitReverseFlag</a></td></tr>
+<tr class="separator:af713b4ac5256a19bc965c89fe3005fa3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adb0c9d47dbfbd90a6f6ed0a05313a974"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#adb0c9d47dbfbd90a6f6ed0a05313a974">pTwiddle</a></td></tr>
+<tr class="separator:adb0c9d47dbfbd90a6f6ed0a05313a974"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a92b8fa0a151cd800436094903a5ca0a4"><td class="memItemLeft" align="right" valign="top">uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#a92b8fa0a151cd800436094903a5ca0a4">pBitRevTable</a></td></tr>
+<tr class="separator:a92b8fa0a151cd800436094903a5ca0a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a411f75b6ed01690293f4f5988030ea42"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#a411f75b6ed01690293f4f5988030ea42">twidCoefModifier</a></td></tr>
+<tr class="separator:a411f75b6ed01690293f4f5988030ea42"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac1688dafa5177f6b1505abbfd0cf8b21"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#ac1688dafa5177f6b1505abbfd0cf8b21">bitRevFactor</a></td></tr>
+<tr class="separator:ac1688dafa5177f6b1505abbfd0cf8b21"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d3d289d47443e597d88a40effd14b8f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__f32.html#a1d3d289d47443e597d88a40effd14b8f">onebyfftLen</a></td></tr>
+<tr class="separator:a1d3d289d47443e597d88a40effd14b8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af713b4ac5256a19bc965c89fe3005fa3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_f32::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1688dafa5177f6b1505abbfd0cf8b21"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_f32::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2f915a1c29635c1623086aaaa726be8f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_f32::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8dbe98d2c924e35e0a3fed2fe948176f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_f32::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d3d289d47443e597d88a40effd14b8f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_cfft_radix2_instance_f32::onebyfftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>value of 1/fftLen. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a92b8fa0a151cd800436094903a5ca0a4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix2_instance_f32::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adb0c9d47dbfbd90a6f6ed0a05313a974"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_cfft_radix2_instance_f32::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a411f75b6ed01690293f4f5988030ea42"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_f32::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga9fadd650b802f612ae558ddaab789a6d">arm_cfft_radix2_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gac9565e6bc7229577ecf5e090313cafd7">arm_cfft_radix2_init_f32()</a>.</p>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "onebyfftLen", "structarm__cfft__radix2__instance__f32.html#a1d3d289d47443e597d88a40effd14b8f", null ],
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+    [ "pTwiddle", "structarm__cfft__radix2__instance__f32.html#adb0c9d47dbfbd90a6f6ed0a05313a974", null ],
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_cfft_radix2_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a874085647351dcf3f0de39d2b1d49744"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#a874085647351dcf3f0de39d2b1d49744">fftLen</a></td></tr>
+<tr class="separator:a874085647351dcf3f0de39d2b1d49744"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab5c073286bdd2f6e2bf783ced36bf1de"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#ab5c073286bdd2f6e2bf783ced36bf1de">ifftFlag</a></td></tr>
+<tr class="separator:ab5c073286bdd2f6e2bf783ced36bf1de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af8300c1f60caa21e6b44b9240ab5af19"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#af8300c1f60caa21e6b44b9240ab5af19">bitReverseFlag</a></td></tr>
+<tr class="separator:af8300c1f60caa21e6b44b9240ab5af19"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3809dd15e7cbf1a054c728cfbbb0cc5a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#a3809dd15e7cbf1a054c728cfbbb0cc5a">pTwiddle</a></td></tr>
+<tr class="separator:a3809dd15e7cbf1a054c728cfbbb0cc5a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab88afeff6493be3c8b5e4530efa82d51"><td class="memItemLeft" align="right" valign="top">uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#ab88afeff6493be3c8b5e4530efa82d51">pBitRevTable</a></td></tr>
+<tr class="separator:ab88afeff6493be3c8b5e4530efa82d51"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6f2ab87fb4c568656e1f92f687b5c850"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#a6f2ab87fb4c568656e1f92f687b5c850">twidCoefModifier</a></td></tr>
+<tr class="separator:a6f2ab87fb4c568656e1f92f687b5c850"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8722720c542cabd41df83fe88ef4f4cb"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q15.html#a8722720c542cabd41df83fe88ef4f4cb">bitRevFactor</a></td></tr>
+<tr class="separator:a8722720c542cabd41df83fe88ef4f4cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af8300c1f60caa21e6b44b9240ab5af19"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_q15::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8722720c542cabd41df83fe88ef4f4cb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_q15::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a874085647351dcf3f0de39d2b1d49744"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_q15::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab5c073286bdd2f6e2bf783ced36bf1de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_q15::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
+</div>
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+<a class="anchor" id="ab88afeff6493be3c8b5e4530efa82d51"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix2_instance_q15::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
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+<a class="anchor" id="a3809dd15e7cbf1a054c728cfbbb0cc5a"></a>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_cfft_radix2_instance_q15::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Sin twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
+
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+<a class="anchor" id="a6f2ab87fb4c568656e1f92f687b5c850"></a>
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+          <td class="memname">uint16_t arm_cfft_radix2_instance_q15::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga5c5b2127b3c4ea2d03692127f8543858">arm_cfft_radix2_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga55b424341dc3efd3fa0bcaaff4bdbf40">arm_cfft_radix2_q15()</a>.</p>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix2_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Radix-2 Q31 CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a960199f1373a192366878ef279eab00f"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q31.html#a960199f1373a192366878ef279eab00f">fftLen</a></td></tr>
+<tr class="separator:a960199f1373a192366878ef279eab00f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2607378ce64be16698bb8a3b1af8d3c8"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q31.html#a2607378ce64be16698bb8a3b1af8d3c8">ifftFlag</a></td></tr>
+<tr class="separator:a2607378ce64be16698bb8a3b1af8d3c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6239b8d268285334e88c008c07d68616"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q31.html#a6239b8d268285334e88c008c07d68616">bitReverseFlag</a></td></tr>
+<tr class="separator:a6239b8d268285334e88c008c07d68616"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d5bbe9a991e133f81652a77a7985d23"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q31.html#a1d5bbe9a991e133f81652a77a7985d23">pTwiddle</a></td></tr>
+<tr class="separator:a1d5bbe9a991e133f81652a77a7985d23"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ae63ca9193322cd477970c1d2086407d1"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1">twidCoefModifier</a></td></tr>
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+<tr class="separator:a9d17a87263953fe3559a007512c9f3a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a6239b8d268285334e88c008c07d68616"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_q31::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9d17a87263953fe3559a007512c9f3a4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_q31::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a960199f1373a192366878ef279eab00f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_q31::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2607378ce64be16698bb8a3b1af8d3c8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix2_instance_q31::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada8e5264f4b22ff4c621817978994674"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix2_instance_q31::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d5bbe9a991e133f81652a77a7985d23"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_cfft_radix2_instance_q31::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae63ca9193322cd477970c1d2086407d1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix2_instance_q31::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gabec9611e77382f31e152668bf6b4b638">arm_cfft_radix2_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#ga6321f703ec87a274aedaab33d3e766b4">arm_cfft_radix2_q31()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__cfft__radix2__instance__q31.html">arm_cfft_radix2_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+    [ "bitRevFactor", "structarm__cfft__radix2__instance__q31.html#a9d17a87263953fe3559a007512c9f3a4", null ],
+    [ "fftLen", "structarm__cfft__radix2__instance__q31.html#a960199f1373a192366878ef279eab00f", null ],
+    [ "ifftFlag", "structarm__cfft__radix2__instance__q31.html#a2607378ce64be16698bb8a3b1af8d3c8", null ],
+    [ "pBitRevTable", "structarm__cfft__radix2__instance__q31.html#ada8e5264f4b22ff4c621817978994674", null ],
+    [ "pTwiddle", "structarm__cfft__radix2__instance__q31.html#a1d5bbe9a991e133f81652a77a7985d23", null ],
+    [ "twidCoefModifier", "structarm__cfft__radix2__instance__q31.html#ae63ca9193322cd477970c1d2086407d1", null ]
+];
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+<title>CMSIS-DSP: arm_cfft_radix4_instance_f32 Struct Reference</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix4_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point CFFT/CIFFT function.  
+ <a href="structarm__cfft__radix4__instance__f32.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a7e6a6d290ce158ce9a15a45e364b021a"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a">fftLen</a></td></tr>
+<tr class="separator:a7e6a6d290ce158ce9a15a45e364b021a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a25d1da64dd6487c291f04d226f9acc66"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#a25d1da64dd6487c291f04d226f9acc66">ifftFlag</a></td></tr>
+<tr class="separator:a25d1da64dd6487c291f04d226f9acc66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac10927a1620195a88649ce63dab66120"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#ac10927a1620195a88649ce63dab66120">bitReverseFlag</a></td></tr>
+<tr class="separator:ac10927a1620195a88649ce63dab66120"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14860c7544911702ca1fa0bf78204ef3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#a14860c7544911702ca1fa0bf78204ef3">pTwiddle</a></td></tr>
+<tr class="separator:a14860c7544911702ca1fa0bf78204ef3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8da0d2ca69749fde8cbb95caeac6fe6a"><td class="memItemLeft" align="right" valign="top">uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#a8da0d2ca69749fde8cbb95caeac6fe6a">pBitRevTable</a></td></tr>
+<tr class="separator:a8da0d2ca69749fde8cbb95caeac6fe6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe31ea2157dfa233e389cdfd3b9993ee"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee">twidCoefModifier</a></td></tr>
+<tr class="separator:abe31ea2157dfa233e389cdfd3b9993ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acc8cb18a8b901b8321ab9d86491e41a3"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#acc8cb18a8b901b8321ab9d86491e41a3">bitRevFactor</a></td></tr>
+<tr class="separator:acc8cb18a8b901b8321ab9d86491e41a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9eed39e40b8d7c16381fbccf84467cd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd">onebyfftLen</a></td></tr>
+<tr class="separator:ab9eed39e40b8d7c16381fbccf84467cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_convolution_example_f32_8c-example.html#_a13">arm_convolution_example_f32.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ac10927a1620195a88649ce63dab66120"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_f32::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc8cb18a8b901b8321ab9d86491e41a3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_f32::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7e6a6d290ce158ce9a15a45e364b021a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_f32::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25d1da64dd6487c291f04d226f9acc66"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_f32::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, and <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9eed39e40b8d7c16381fbccf84467cd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_cfft_radix4_instance_f32::onebyfftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>value of 1/fftLen. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8da0d2ca69749fde8cbb95caeac6fe6a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix4_instance_f32::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a14860c7544911702ca1fa0bf78204ef3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_cfft_radix4_instance_f32::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the Twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe31ea2157dfa233e389cdfd3b9993ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_f32::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga521f670cd9c571bc61aff9bec89f4c26">arm_cfft_radix4_f32()</a>, <a class="el" href="group___complex_f_f_t.html#gaf336459f684f0b17bfae539ef1b1b78a">arm_cfft_radix4_init_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>.</p>
+
+</div>
+</div>
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+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/structarm__cfft__radix4__instance__f32.js b/Documentation/DSP/html/structarm__cfft__radix4__instance__f32.js
new file mode 100644
index 0000000..e51ec9c
--- /dev/null
+++ b/Documentation/DSP/html/structarm__cfft__radix4__instance__f32.js
@@ -0,0 +1,11 @@
+var structarm__cfft__radix4__instance__f32 =
+[
+    [ "bitReverseFlag", "structarm__cfft__radix4__instance__f32.html#ac10927a1620195a88649ce63dab66120", null ],
+    [ "bitRevFactor", "structarm__cfft__radix4__instance__f32.html#acc8cb18a8b901b8321ab9d86491e41a3", null ],
+    [ "fftLen", "structarm__cfft__radix4__instance__f32.html#a7e6a6d290ce158ce9a15a45e364b021a", null ],
+    [ "ifftFlag", "structarm__cfft__radix4__instance__f32.html#a25d1da64dd6487c291f04d226f9acc66", null ],
+    [ "onebyfftLen", "structarm__cfft__radix4__instance__f32.html#ab9eed39e40b8d7c16381fbccf84467cd", null ],
+    [ "pBitRevTable", "structarm__cfft__radix4__instance__f32.html#a8da0d2ca69749fde8cbb95caeac6fe6a", null ],
+    [ "pTwiddle", "structarm__cfft__radix4__instance__f32.html#a14860c7544911702ca1fa0bf78204ef3", null ],
+    [ "twidCoefModifier", "structarm__cfft__radix4__instance__f32.html#abe31ea2157dfa233e389cdfd3b9993ee", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/structarm__cfft__radix4__instance__q15.html b/Documentation/DSP/html/structarm__cfft__radix4__instance__q15.html
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+<title>CMSIS-DSP: arm_cfft_radix4_instance_q15 Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix4_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5fc543e7d84ca8cb7cf6648970f21ca6"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a5fc543e7d84ca8cb7cf6648970f21ca6">fftLen</a></td></tr>
+<tr class="separator:a5fc543e7d84ca8cb7cf6648970f21ca6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2ecff6ea735cb4d22e922d0fd5736655"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a2ecff6ea735cb4d22e922d0fd5736655">ifftFlag</a></td></tr>
+<tr class="separator:a2ecff6ea735cb4d22e922d0fd5736655"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a101e3f7b0bd6b5b14cd5214f23df4133"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a101e3f7b0bd6b5b14cd5214f23df4133">bitReverseFlag</a></td></tr>
+<tr class="separator:a101e3f7b0bd6b5b14cd5214f23df4133"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a29dd693537e45421a36891f8439e1fba"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a29dd693537e45421a36891f8439e1fba">pTwiddle</a></td></tr>
+<tr class="separator:a29dd693537e45421a36891f8439e1fba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4acf704ae0cf30b53bf0fbfae8e34a59"><td class="memItemLeft" align="right" valign="top">uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a4acf704ae0cf30b53bf0fbfae8e34a59">pBitRevTable</a></td></tr>
+<tr class="separator:a4acf704ae0cf30b53bf0fbfae8e34a59"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af32fdc78bcc27ca385f9b76a0a1f71c3"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#af32fdc78bcc27ca385f9b76a0a1f71c3">twidCoefModifier</a></td></tr>
+<tr class="separator:af32fdc78bcc27ca385f9b76a0a1f71c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6b010e5f02d1130c621e3d2e26b95df1"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q15.html#a6b010e5f02d1130c621e3d2e26b95df1">bitRevFactor</a></td></tr>
+<tr class="separator:a6b010e5f02d1130c621e3d2e26b95df1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a101e3f7b0bd6b5b14cd5214f23df4133"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_q15::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6b010e5f02d1130c621e3d2e26b95df1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_q15::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5fc543e7d84ca8cb7cf6648970f21ca6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_q15::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ecff6ea735cb4d22e922d0fd5736655"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_q15::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4acf704ae0cf30b53bf0fbfae8e34a59"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix4_instance_q15::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a29dd693537e45421a36891f8439e1fba"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_cfft_radix4_instance_q15::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af32fdc78bcc27ca385f9b76a0a1f71c3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_q15::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#ga0c2acfda3126c452e75b81669e8ad9ef">arm_cfft_radix4_init_q15()</a>, and <a class="el" href="group___complex_f_f_t.html#ga8d66cdac41b8bf6cefdb895456eee84a">arm_cfft_radix4_q15()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<title>arm_cfft_radix4_instance_q31 Struct Reference</title>
+<title>CMSIS-DSP: arm_cfft_radix4_instance_q31 Struct Reference</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_cfft_radix4_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 CFFT/CIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ab413d2a5d3f45fa187d93813bf3bf81b"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#ab413d2a5d3f45fa187d93813bf3bf81b">fftLen</a></td></tr>
+<tr class="separator:ab413d2a5d3f45fa187d93813bf3bf81b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adc0a62ba669ad2282ecbe43d5d96abab"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#adc0a62ba669ad2282ecbe43d5d96abab">ifftFlag</a></td></tr>
+<tr class="separator:adc0a62ba669ad2282ecbe43d5d96abab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5a7c4f4c7b3fb655cbb2bc11ef160a2a"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#a5a7c4f4c7b3fb655cbb2bc11ef160a2a">bitReverseFlag</a></td></tr>
+<tr class="separator:a5a7c4f4c7b3fb655cbb2bc11ef160a2a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a561c22dee4cbdcfa0fd5f15106ecc306"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#a561c22dee4cbdcfa0fd5f15106ecc306">pTwiddle</a></td></tr>
+<tr class="separator:a561c22dee4cbdcfa0fd5f15106ecc306"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a33a3bc774c97373261699463c05dfe54"><td class="memItemLeft" align="right" valign="top">uint16_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#a33a3bc774c97373261699463c05dfe54">pBitRevTable</a></td></tr>
+<tr class="separator:a33a3bc774c97373261699463c05dfe54"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8cf8187b8232815cf17ee82bf572ecf9"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#a8cf8187b8232815cf17ee82bf572ecf9">twidCoefModifier</a></td></tr>
+<tr class="separator:a8cf8187b8232815cf17ee82bf572ecf9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a94d2fead4efa4d5eaae142bbe30b0e15"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__cfft__radix4__instance__q31.html#a94d2fead4efa4d5eaae142bbe30b0e15">bitRevFactor</a></td></tr>
+<tr class="separator:a94d2fead4efa4d5eaae142bbe30b0e15"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a5a7c4f4c7b3fb655cbb2bc11ef160a2a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_q31::bitReverseFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a94d2fead4efa4d5eaae142bbe30b0e15"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_q31::bitRevFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit reversal modifier that supports different size FFTs with the same bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab413d2a5d3f45fa187d93813bf3bf81b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_cfft_radix4_instance_q31::fftLen</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the FFT. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adc0a62ba669ad2282ecbe43d5d96abab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_cfft_radix4_instance_q31::ifftFlag</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a33a3bc774c97373261699463c05dfe54"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t* arm_cfft_radix4_instance_q31::pBitRevTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the bit reversal table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a561c22dee4cbdcfa0fd5f15106ecc306"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_cfft_radix4_instance_q31::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint16_t arm_cfft_radix4_instance_q31::twidCoefModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___complex_f_f_t.html#gad5caaafeec900c8ff72321c01bbd462c">arm_cfft_radix4_init_q31()</a>, and <a class="el" href="group___complex_f_f_t.html#gafde3ee1f58cf393b45a9073174fff548">arm_cfft_radix4_q31()</a>.</p>
+
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+  <ul>
+    <li class="navelem"><a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "ifftFlag", "structarm__cfft__radix4__instance__q31.html#adc0a62ba669ad2282ecbe43d5d96abab", null ],
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+    [ "pTwiddle", "structarm__cfft__radix4__instance__q31.html#a561c22dee4cbdcfa0fd5f15106ecc306", null ],
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+];
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dct4_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point DCT4/IDCT4 function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a262b29a51c371b46efc89120e31ccf37"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#a262b29a51c371b46efc89120e31ccf37">N</a></td></tr>
+<tr class="separator:a262b29a51c371b46efc89120e31ccf37"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adb1ef2739ddbe62e5cdadc47455a4147"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#adb1ef2739ddbe62e5cdadc47455a4147">Nby2</a></td></tr>
+<tr class="separator:adb1ef2739ddbe62e5cdadc47455a4147"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a61ce8c967b2e998a9c0041cca73cdef8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#a61ce8c967b2e998a9c0041cca73cdef8">normalize</a></td></tr>
+<tr class="separator:a61ce8c967b2e998a9c0041cca73cdef8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad13544aafad268588c62e3eb35ae662c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#ad13544aafad268588c62e3eb35ae662c">pTwiddle</a></td></tr>
+<tr class="separator:ad13544aafad268588c62e3eb35ae662c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6da1187e070801e011ce5e0582efa861"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#a6da1187e070801e011ce5e0582efa861">pCosFactor</a></td></tr>
+<tr class="separator:a6da1187e070801e011ce5e0582efa861"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a978f37fc19add31af243ab5c63ae502f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#a978f37fc19add31af243ab5c63ae502f">pRfft</a></td></tr>
+<tr class="separator:a978f37fc19add31af243ab5c63ae502f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a018f7860b6e070af533fb7d76c7cdc32"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__f32.html#a018f7860b6e070af533fb7d76c7cdc32">pCfft</a></td></tr>
+<tr class="separator:a018f7860b6e070af533fb7d76c7cdc32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a262b29a51c371b46efc89120e31ccf37"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_dct4_instance_f32::N</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adb1ef2739ddbe62e5cdadc47455a4147"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_dct4_instance_f32::Nby2</td>
+        </tr>
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+</div><div class="memdoc">
+<p>half of the length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a61ce8c967b2e998a9c0041cca73cdef8"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_dct4_instance_f32::normalize</td>
+        </tr>
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+<p>normalizing factor. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
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+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a>* arm_dct4_instance_f32::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
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+</div><div class="memdoc">
+<p>points to the cosFactor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
+
+</div>
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+<div class="memitem">
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+          <td class="memname"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a>* arm_dct4_instance_f32::pRfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
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+        </tr>
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+</div><div class="memdoc">
+<p>points to the twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#gafd538d68886848bc090ec2b0d364cc81">arm_dct4_f32()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gab094ad3bc6fa1b84e8b12a24e1850a06">arm_dct4_init_f32()</a>.</p>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dct4_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 DCT4/IDCT4 function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a53d24009bb9b2e93d0aa07db7f1a6c25"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25">N</a></td></tr>
+<tr class="separator:a53d24009bb9b2e93d0aa07db7f1a6c25"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af43dcbbc2fc661ffbc525afe3dcbd7da"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da">Nby2</a></td></tr>
+<tr class="separator:af43dcbbc2fc661ffbc525afe3dcbd7da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a197098140d68e89a08f7a249003a0b86"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#a197098140d68e89a08f7a249003a0b86">normalize</a></td></tr>
+<tr class="separator:a197098140d68e89a08f7a249003a0b86"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abc6c847e9f906781e1d5da40e9aafa76"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#abc6c847e9f906781e1d5da40e9aafa76">pTwiddle</a></td></tr>
+<tr class="separator:abc6c847e9f906781e1d5da40e9aafa76"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac76df681b1bd502fb4874c06f055dded"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#ac76df681b1bd502fb4874c06f055dded">pCosFactor</a></td></tr>
+<tr class="separator:ac76df681b1bd502fb4874c06f055dded"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a11cf95c1cd9dd2dd5e4b81b8f88dc208"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#a11cf95c1cd9dd2dd5e4b81b8f88dc208">pRfft</a></td></tr>
+<tr class="separator:a11cf95c1cd9dd2dd5e4b81b8f88dc208"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7284932ee8c36107c33815eb62eadffc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q15.html#a7284932ee8c36107c33815eb62eadffc">pCfft</a></td></tr>
+<tr class="separator:a7284932ee8c36107c33815eb62eadffc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a53d24009bb9b2e93d0aa07db7f1a6c25"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_dct4_instance_q15::N</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af43dcbbc2fc661ffbc525afe3dcbd7da"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_dct4_instance_q15::Nby2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>half of the length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a197098140d68e89a08f7a249003a0b86"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_dct4_instance_q15::normalize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>normalizing factor. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7284932ee8c36107c33815eb62eadffc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__cfft__radix4__instance__q15.html">arm_cfft_radix4_instance_q15</a>* arm_dct4_instance_q15::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac76df681b1bd502fb4874c06f055dded"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_dct4_instance_q15::pCosFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the cosFactor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a11cf95c1cd9dd2dd5e4b81b8f88dc208"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a>* arm_dct4_instance_q15::pRfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc6c847e9f906781e1d5da40e9aafa76"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_dct4_instance_q15::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga966fd1b66a80873964533703ab5dc054">arm_dct4_init_q15()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga114cb9635059f678df291fcc887aaf2b">arm_dct4_q15()</a>.</p>
+
+</div>
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+</div><!-- doc-content -->
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__dct4__instance__q15.html">arm_dct4_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    [ "N", "structarm__dct4__instance__q15.html#a53d24009bb9b2e93d0aa07db7f1a6c25", null ],
+    [ "Nby2", "structarm__dct4__instance__q15.html#af43dcbbc2fc661ffbc525afe3dcbd7da", null ],
+    [ "normalize", "structarm__dct4__instance__q15.html#a197098140d68e89a08f7a249003a0b86", null ],
+    [ "pCfft", "structarm__dct4__instance__q15.html#a7284932ee8c36107c33815eb62eadffc", null ],
+    [ "pCosFactor", "structarm__dct4__instance__q15.html#ac76df681b1bd502fb4874c06f055dded", null ],
+    [ "pRfft", "structarm__dct4__instance__q15.html#a11cf95c1cd9dd2dd5e4b81b8f88dc208", null ],
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>arm_dct4_instance_q31 Struct Reference</title>
+<title>CMSIS-DSP: arm_dct4_instance_q31 Struct Reference</title>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_dct4_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 DCT4/IDCT4 function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a46a9f136457350676e2bfd3768ff9d6d"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#a46a9f136457350676e2bfd3768ff9d6d">N</a></td></tr>
+<tr class="separator:a46a9f136457350676e2bfd3768ff9d6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32d3268ba4629908dba056599f0a904d"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d">Nby2</a></td></tr>
+<tr class="separator:a32d3268ba4629908dba056599f0a904d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac80ff7b28fca36aeef74dea12e8312dd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd">normalize</a></td></tr>
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+<tr class="memitem:a7db236e22673146bb1d2c962f0713f08"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#a7db236e22673146bb1d2c962f0713f08">pTwiddle</a></td></tr>
+<tr class="separator:a7db236e22673146bb1d2c962f0713f08"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af97204d1838925621fc82021a0c2d6c1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#af97204d1838925621fc82021a0c2d6c1">pCosFactor</a></td></tr>
+<tr class="separator:af97204d1838925621fc82021a0c2d6c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af1487dab5e7963b85dc0fdc6bf492542"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#af1487dab5e7963b85dc0fdc6bf492542">pRfft</a></td></tr>
+<tr class="separator:af1487dab5e7963b85dc0fdc6bf492542"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac96579cfb28d08bb11dd2fe4c6303833"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__dct4__instance__q31.html#ac96579cfb28d08bb11dd2fe4c6303833">pCfft</a></td></tr>
+<tr class="separator:ac96579cfb28d08bb11dd2fe4c6303833"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a46a9f136457350676e2bfd3768ff9d6d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_dct4_instance_q31::N</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32d3268ba4629908dba056599f0a904d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_dct4_instance_q31::Nby2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>half of the length of the DCT4. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac80ff7b28fca36aeef74dea12e8312dd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_dct4_instance_q31::normalize</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>normalizing factor. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac96579cfb28d08bb11dd2fe4c6303833"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__cfft__radix4__instance__q31.html">arm_cfft_radix4_instance_q31</a>* arm_dct4_instance_q31::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af97204d1838925621fc82021a0c2d6c1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_dct4_instance_q31::pCosFactor</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the cosFactor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af1487dab5e7963b85dc0fdc6bf492542"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__rfft__instance__q31.html">arm_rfft_instance_q31</a>* arm_dct4_instance_q31::pRfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7db236e22673146bb1d2c962f0713f08"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_dct4_instance_q31::pTwiddle</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___d_c_t4___i_d_c_t4.html#ga631bb59c7c97c814ff7147ecba6a716a">arm_dct4_init_q31()</a>, and <a class="el" href="group___d_c_t4___i_d_c_t4.html#gad04d0baab6ed081d8e8afe02538eb80b">arm_dct4_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__dct4__instance__q31.html">arm_dct4_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/structarm__dct4__instance__q31.js b/Documentation/DSP/html/structarm__dct4__instance__q31.js
new file mode 100644
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+    [ "Nby2", "structarm__dct4__instance__q31.html#a32d3268ba4629908dba056599f0a904d", null ],
+    [ "normalize", "structarm__dct4__instance__q31.html#ac80ff7b28fca36aeef74dea12e8312dd", null ],
+    [ "pCfft", "structarm__dct4__instance__q31.html#ac96579cfb28d08bb11dd2fe4c6303833", null ],
+    [ "pCosFactor", "structarm__dct4__instance__q31.html#af97204d1838925621fc82021a0c2d6c1", null ],
+    [ "pRfft", "structarm__dct4__instance__q31.html#af1487dab5e7963b85dc0fdc6bf492542", null ],
+    [ "pTwiddle", "structarm__dct4__instance__q31.html#a7db236e22673146bb1d2c962f0713f08", null ]
+];
\ No newline at end of file
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+<title>CMSIS-DSP: arm_fir_decimate_instance_f32 Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
+  </td>
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+ </tbody>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_decimate_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point FIR decimator.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a76a8b2161731638eb3d67f277919f95d"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__f32.html#a76a8b2161731638eb3d67f277919f95d">M</a></td></tr>
+<tr class="separator:a76a8b2161731638eb3d67f277919f95d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2aa2986129db8affef03ede88dd45a03"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03">numTaps</a></td></tr>
+<tr class="separator:a2aa2986129db8affef03ede88dd45a03"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a268a8b0e80a3d9764baf33e4bc10dde2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__f32.html#a268a8b0e80a3d9764baf33e4bc10dde2">pCoeffs</a></td></tr>
+<tr class="separator:a268a8b0e80a3d9764baf33e4bc10dde2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5bddf29aaaf2011d2e3bcec59a83f633"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__f32.html#a5bddf29aaaf2011d2e3bcec59a83f633">pState</a></td></tr>
+<tr class="separator:a5bddf29aaaf2011d2e3bcec59a83f633"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a76a8b2161731638eb3d67f277919f95d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_fir_decimate_instance_f32::M</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>decimation factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2aa2986129db8affef03ede88dd45a03"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_decimate_instance_f32::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a268a8b0e80a3d9764baf33e4bc10dde2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_decimate_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5bddf29aaaf2011d2e3bcec59a83f633"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_decimate_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga25aa3d58a90bf91b6a82272a0bc518f7">arm_fir_decimate_f32()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaaa2524b08220fd6c3f753e692ffc7d3b">arm_fir_decimate_init_f32()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__fir__decimate__instance__f32.html">arm_fir_decimate_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    [ "numTaps", "structarm__fir__decimate__instance__f32.html#a2aa2986129db8affef03ede88dd45a03", null ],
+    [ "pCoeffs", "structarm__fir__decimate__instance__f32.html#a268a8b0e80a3d9764baf33e4bc10dde2", null ],
+    [ "pState", "structarm__fir__decimate__instance__f32.html#a5bddf29aaaf2011d2e3bcec59a83f633", null ]
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_decimate_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 FIR decimator.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:aad9320284218b3aa378527ea518cf093"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q15.html#aad9320284218b3aa378527ea518cf093">M</a></td></tr>
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+<tr class="memitem:ac1e9844488ec717da334fbd4c4f41990"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q15.html#ac1e9844488ec717da334fbd4c4f41990">numTaps</a></td></tr>
+<tr class="separator:ac1e9844488ec717da334fbd4c4f41990"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a01cacab67e73945e8289075598ede14d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q15.html#a01cacab67e73945e8289075598ede14d">pCoeffs</a></td></tr>
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+<tr class="memitem:a3f7b5184bb28853ef401b001df121047"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q15.html#a3f7b5184bb28853ef401b001df121047">pState</a></td></tr>
+<tr class="separator:a3f7b5184bb28853ef401b001df121047"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint8_t arm_fir_decimate_instance_q15::M</td>
+        </tr>
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+<p>decimation factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15()</a>, and <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1e9844488ec717da334fbd4c4f41990"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_decimate_instance_q15::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15()</a>, and <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a01cacab67e73945e8289075598ede14d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_decimate_instance_q15::pCoeffs</td>
+        </tr>
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+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15()</a>, and <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15()</a>.</p>
+
+</div>
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_decimate_instance_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3f434c9a5d3b4e68061feac0714ea2ac">arm_fir_decimate_fast_q15()</a>, <a class="el" href="group___f_i_r__decimate.html#gada660e54b93d5d32178c6f5e1c6f368d">arm_fir_decimate_init_q15()</a>, and <a class="el" href="group___f_i_r__decimate.html#gab8bef6d0f6a26fdbfce9485727713ce5">arm_fir_decimate_q15()</a>.</p>
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+<div class="title">arm_fir_decimate_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 FIR decimator.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
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+<tr class="memitem:a030d0391538c2481c5b348fd09a952ff"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q31.html#a030d0391538c2481c5b348fd09a952ff">pCoeffs</a></td></tr>
+<tr class="separator:a030d0391538c2481c5b348fd09a952ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0ef0ef9e265f7ab873cfc6daa7593fdb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__decimate__instance__q31.html#a0ef0ef9e265f7ab873cfc6daa7593fdb">pState</a></td></tr>
+<tr class="separator:a0ef0ef9e265f7ab873cfc6daa7593fdb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad3d6936c36303b30dd38f1eddf248ae5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint8_t arm_fir_decimate_instance_q31::M</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>decimation factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31()</a>, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a37915d42b0dc5e3057ebe83110798482"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_decimate_instance_q31::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31()</a>, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a030d0391538c2481c5b348fd09a952ff"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_decimate_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31()</a>, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ef0ef9e265f7ab873cfc6daa7593fdb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_decimate_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r__decimate.html#ga3c18cc3d0548a410c577f1bead9582b7">arm_fir_decimate_fast_q31()</a>, <a class="el" href="group___f_i_r__decimate.html#ga9ed47c4e0f58affa935d84e0508a7f39">arm_fir_decimate_init_q31()</a>, and <a class="el" href="group___f_i_r__decimate.html#gaef8e86add28f15fdc5ecc484e9dd7a4e">arm_fir_decimate_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__fir__decimate__instance__q31.html">arm_fir_decimate_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point FIR filter.  
+ <a href="structarm__fir__instance__f32.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a20cf98c92b5323799b7881c9ff4d2f7c"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__f32.html#a20cf98c92b5323799b7881c9ff4d2f7c">numTaps</a></td></tr>
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+<tr class="memitem:a7afcf4022e8560db9b8fd28b0d090a15"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__f32.html#a7afcf4022e8560db9b8fd28b0d090a15">pState</a></td></tr>
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+<tr class="separator:a1c9cfca901d5902afeb640f2831488f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_fir_example_f32_8c-example.html#_a12">arm_fir_example_f32.c</a>, and <a class="el" href="arm_signal_converge_example_f32_8c-example.html#_a3">arm_signal_converge_example_f32.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a20cf98c92b5323799b7881c9ff4d2f7c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_instance_f32::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of filter coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32()</a>, and <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32()</a>.</p>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32()</a>, and <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="a7afcf4022e8560db9b8fd28b0d090a15"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gae8fb334ea67eb6ecbd31824ddc14cd6a">arm_fir_f32()</a>, and <a class="el" href="group___f_i_r.html#ga98d13def6427e29522829f945d0967db">arm_fir_init_f32()</a>.</p>
+
+</div>
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+</div><!-- doc-content -->
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+  <ul>
+    <li class="navelem"><a class="el" href="structarm__fir__instance__f32.html">arm_fir_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<div class="title">arm_fir_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a0e46f93cf51bfb18b1be808be9c5bfc9"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q15.html#a0e46f93cf51bfb18b1be808be9c5bfc9">numTaps</a></td></tr>
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+<tr class="memitem:aa8d25f44f45b6a6c4cf38c31569b8a01"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q15.html#aa8d25f44f45b6a6c4cf38c31569b8a01">pState</a></td></tr>
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+<tr class="memitem:a6d16db16a5f8f0db54938f2967244d9e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q15.html#a6d16db16a5f8f0db54938f2967244d9e">pCoeffs</a></td></tr>
+<tr class="separator:a6d16db16a5f8f0db54938f2967244d9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a0e46f93cf51bfb18b1be808be9c5bfc9"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint16_t arm_fir_instance_q15::numTaps</td>
+        </tr>
+      </table>
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+<p>number of filter coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15()</a>, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15()</a>, and <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15()</a>.</p>
+
+</div>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_instance_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15()</a>, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15()</a>, and <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15()</a>.</p>
+
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+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_instance_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#gac7d35e9472e49ccd88800f37f3476bd3">arm_fir_fast_q15()</a>, <a class="el" href="group___f_i_r.html#gae2a50f692f41ba57e44ed0719b1368bd">arm_fir_init_q15()</a>, and <a class="el" href="group___f_i_r.html#ga262d173058d6f80fdf60404ba262a8f5">arm_fir_q15()</a>.</p>
+
+</div>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="title">arm_fir_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a918fadd775b7a0482b21bf34dae2f094"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q31.html#a918fadd775b7a0482b21bf34dae2f094">numTaps</a></td></tr>
+<tr class="separator:a918fadd775b7a0482b21bf34dae2f094"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a409f39c93b744784648bdc365541444d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q31.html#a409f39c93b744784648bdc365541444d">pState</a></td></tr>
+<tr class="separator:a409f39c93b744784648bdc365541444d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afaae4c884bdf11a4ec2f3b9bb2bb51d0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q31.html#afaae4c884bdf11a4ec2f3b9bb2bb51d0">pCoeffs</a></td></tr>
+<tr class="separator:afaae4c884bdf11a4ec2f3b9bb2bb51d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a918fadd775b7a0482b21bf34dae2f094"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_instance_q31::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of filter coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31()</a>, <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31()</a>, and <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afaae4c884bdf11a4ec2f3b9bb2bb51d0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31()</a>, <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31()</a>, and <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a409f39c93b744784648bdc365541444d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r.html#ga70d11af009dcd25594c58c75cdb5d6e3">arm_fir_fast_q31()</a>, <a class="el" href="group___f_i_r.html#gac00d53af87684cbbe135767b55e748a5">arm_fir_init_q31()</a>, and <a class="el" href="group___f_i_r.html#gaadd938c68ab08967cbb5fc696f384bb5">arm_fir_q31()</a>.</p>
+
+</div>
+</div>
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<div class="title">arm_fir_instance_q7 Struct Reference</div>  </div>
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+<div class="contents">
+
+<p>Instance structure for the Q7 FIR filter.  
+</p>
+<table class="memberdecls">
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+Data Fields</h2></td></tr>
+<tr class="memitem:a9b50840e2c5ef5b17e1a584fb4cf0d06"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__instance__q7.html#a9b50840e2c5ef5b17e1a584fb4cf0d06">numTaps</a></td></tr>
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+<p>number of filter coefficients in the filter. </p>
+
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_fir_interpolate_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point FIR interpolator.  
+</p>
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+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ae6f94dcc0ccd8aa4bc699b20985d9df5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_fir_interpolate_instance_f32::L</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>upsample factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32()</a>.</p>
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+<a class="anchor" id="a86053b715980a93c9df630d6de5bb63c"></a>
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_interpolate_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length L*phaseLength. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32()</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_fir_interpolate_instance_f32::phaseLength</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of each polyphase filter component. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="a42a8ba1bda85fa86d7b6c84d3da4c75b"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_interpolate_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length phaseLength+numTaps-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9cae104c5cf60b4e7671c82264a8c12e">arm_fir_interpolate_f32()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga0f857457a815946f7e4dca989ebf6ff6">arm_fir_interpolate_init_f32()</a>.</p>
+
+</div>
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+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__fir__interpolate__instance__f32.html">arm_fir_interpolate_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+    [ "phaseLength", "structarm__fir__interpolate__instance__f32.html#a389e669e13ec56292a70db8e92194b12", null ],
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+<title>CMSIS-DSP: arm_fir_interpolate_instance_q15 Struct Reference</title>
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+  <td style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_interpolate_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 FIR interpolator.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5431bdc079e72a973b51d359f7f13603"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q15.html#a5431bdc079e72a973b51d359f7f13603">L</a></td></tr>
+<tr class="separator:a5431bdc079e72a973b51d359f7f13603"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad5178a02a697a77e0d0e60705d9f0a19"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q15.html#ad5178a02a697a77e0d0e60705d9f0a19">phaseLength</a></td></tr>
+<tr class="separator:ad5178a02a697a77e0d0e60705d9f0a19"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a767d91d61d4c0beeddd4325d28d28e24"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q15.html#a767d91d61d4c0beeddd4325d28d28e24">pCoeffs</a></td></tr>
+<tr class="separator:a767d91d61d4c0beeddd4325d28d28e24"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a26b864363fa47954248f2590e3a82a3c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q15.html#a26b864363fa47954248f2590e3a82a3c">pState</a></td></tr>
+<tr class="separator:a26b864363fa47954248f2590e3a82a3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a5431bdc079e72a973b51d359f7f13603"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint8_t arm_fir_interpolate_instance_q15::L</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>upsample factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a767d91d61d4c0beeddd4325d28d28e24"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_interpolate_instance_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length L*phaseLength. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15()</a>.</p>
+
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+<p>length of each polyphase filter component. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15()</a>.</p>
+
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_interpolate_instance_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length blockSize+phaseLength-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga18e8c4a74ff1d0f88876cc63f675288f">arm_fir_interpolate_init_q15()</a>, and <a class="el" href="group___f_i_r___interpolate.html#ga7962b5f9636e54899f75d0c5936800b5">arm_fir_interpolate_q15()</a>.</p>
+
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+    <li class="navelem"><a class="el" href="structarm__fir__interpolate__instance__q15.html">arm_fir_interpolate_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_interpolate_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 FIR interpolator.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5cdf0a631cb74e0e9588c388abe5235c"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q31.html#a5cdf0a631cb74e0e9588c388abe5235c">L</a></td></tr>
+<tr class="separator:a5cdf0a631cb74e0e9588c388abe5235c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5d243796584afc7cd6c557f00b7acca5"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q31.html#a5d243796584afc7cd6c557f00b7acca5">phaseLength</a></td></tr>
+<tr class="separator:a5d243796584afc7cd6c557f00b7acca5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afa719433687e1936ec3403d0d32f06e6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q31.html#afa719433687e1936ec3403d0d32f06e6">pCoeffs</a></td></tr>
+<tr class="separator:afa719433687e1936ec3403d0d32f06e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:addde04514b6e6ac72be3d609f0398b1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__interpolate__instance__q31.html#addde04514b6e6ac72be3d609f0398b1a">pState</a></td></tr>
+<tr class="separator:addde04514b6e6ac72be3d609f0398b1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a5cdf0a631cb74e0e9588c388abe5235c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint8_t arm_fir_interpolate_instance_q31::L</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>upsample factor. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31()</a>, and <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afa719433687e1936ec3403d0d32f06e6"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_interpolate_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length L*phaseLength. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31()</a>, and <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31()</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_interpolate_instance_q31::phaseLength</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of each polyphase filter component. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31()</a>, and <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31()</a>.</p>
+
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+</div>
+<a class="anchor" id="addde04514b6e6ac72be3d609f0398b1a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_interpolate_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length blockSize+phaseLength-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___interpolate.html#ga9d0ba38ce9f12a850dd242731d307476">arm_fir_interpolate_init_q31()</a>, and <a class="el" href="group___f_i_r___interpolate.html#gaac9c0f01ed91c53f7083995d7411f5ee">arm_fir_interpolate_q31()</a>.</p>
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+<div class="title">arm_fir_lattice_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point FIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ad369bd9997a250f195254df37408a38f"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__f32.html#ad369bd9997a250f195254df37408a38f">numStages</a></td></tr>
+<tr class="separator:ad369bd9997a250f195254df37408a38f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae348884a1ba9b83fadccd5da640cbcaf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__f32.html#ae348884a1ba9b83fadccd5da640cbcaf">pState</a></td></tr>
+<tr class="separator:ae348884a1ba9b83fadccd5da640cbcaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a33bf5948c947f9ef80a99717cb0a0a43"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__f32.html#a33bf5948c947f9ef80a99717cb0a0a43">pCoeffs</a></td></tr>
+<tr class="separator:a33bf5948c947f9ef80a99717cb0a0a43"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad369bd9997a250f195254df37408a38f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_lattice_instance_f32::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of filter stages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a33bf5948c947f9ef80a99717cb0a0a43"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_lattice_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae348884a1ba9b83fadccd5da640cbcaf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_lattice_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gae63a45a63a11a65f2eae8b8b1fe370a8">arm_fir_lattice_f32()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga86199a1590af2b8941c6532ee9d03229">arm_fir_lattice_init_f32()</a>.</p>
+
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_fir_lattice_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 FIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<tr class="memitem:a38b179138d6a6c9cac4f8f79b6fd5357"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__lattice__instance__q15.html#a38b179138d6a6c9cac4f8f79b6fd5357">numStages</a></td></tr>
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+          <td class="memname">uint16_t arm_fir_lattice_instance_q15::numStages</td>
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+<p>number of filter stages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_fir_lattice_init_q15()</a>, and <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15()</a>.</p>
+
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+<p>points to the state variable array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#ga1b22f30ce1cc19bf5a5d7c9fca154d72">arm_fir_lattice_init_q15()</a>, and <a class="el" href="group___f_i_r___lattice.html#gabb0ab07fd313b4d863070c3ddca51542">arm_fir_lattice_q15()</a>.</p>
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+	<!--
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_lattice_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 FIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
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+<tr class="separator:a66c3364bf5863cd45e05f1652c3dc522"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a9f3773bbb76bc5a8a5ee9d37786bf478"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_fir_lattice_instance_q31::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of filter stages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_fir_lattice_q31()</a>.</p>
+
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+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_lattice_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
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+<p>points to the coefficient array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_fir_lattice_q31()</a>.</p>
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+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_lattice_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___lattice.html#gac05a17a0188bb851b58d19e572870a54">arm_fir_lattice_init_q31()</a>, and <a class="el" href="group___f_i_r___lattice.html#ga2e36fd210e4a1a5dd333ce80dd6d9a88">arm_fir_lattice_q31()</a>.</p>
+
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__fir__lattice__instance__q31.html">arm_fir_lattice_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<title>CMSIS-DSP: arm_fir_sparse_instance_f32 Struct Reference</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_sparse_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point sparse FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a5e19e7f234ac30a3db843352bf2a8515"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#a5e19e7f234ac30a3db843352bf2a8515">numTaps</a></td></tr>
+<tr class="separator:a5e19e7f234ac30a3db843352bf2a8515"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a57585aeca9dc8686e08df2865375a86d"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#a57585aeca9dc8686e08df2865375a86d">stateIndex</a></td></tr>
+<tr class="separator:a57585aeca9dc8686e08df2865375a86d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a794af0916666d11cc564d6df08553555"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#a794af0916666d11cc564d6df08553555">pState</a></td></tr>
+<tr class="separator:a794af0916666d11cc564d6df08553555"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a04af7c738dfb0882ad102fcad501d94a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#a04af7c738dfb0882ad102fcad501d94a">pCoeffs</a></td></tr>
+<tr class="separator:a04af7c738dfb0882ad102fcad501d94a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af8b8c775f4084c36774f06c082b4c078"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#af8b8c775f4084c36774f06c082b4c078">maxDelay</a></td></tr>
+<tr class="separator:af8b8c775f4084c36774f06c082b4c078"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaa54ae67e5d10c6dd0d697945c638d31"><td class="memItemLeft" align="right" valign="top">int32_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__f32.html#aaa54ae67e5d10c6dd0d697945c638d31">pTapDelay</a></td></tr>
+<tr class="separator:aaa54ae67e5d10c6dd0d697945c638d31"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af8b8c775f4084c36774f06c082b4c078"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_f32::maxDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>maximum offset specified by the pTapDelay array. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="a5e19e7f234ac30a3db843352bf2a8515"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_f32::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_sparse_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="a794af0916666d11cc564d6df08553555"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_fir_sparse_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state buffer array. The array is of length maxDelay+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
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+          <td class="memname">int32_t* arm_fir_sparse_instance_f32::pTapDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of delay values. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint16_t arm_fir_sparse_instance_f32::stateIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>state buffer index. Points to the oldest sample in the state buffer. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga23a9284de5ee39406713b91d18ac8838">arm_fir_sparse_f32()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga86378a08a9d9e1e0e5de77843b34d396">arm_fir_sparse_init_f32()</a>.</p>
+
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+</div><!-- doc-content -->
+<!-- start footer part -->
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+    <li class="navelem"><a class="el" href="structarm__fir__sparse__instance__f32.html">arm_fir_sparse_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    [ "pTapDelay", "structarm__fir__sparse__instance__f32.html#aaa54ae67e5d10c6dd0d697945c638d31", null ],
+    [ "stateIndex", "structarm__fir__sparse__instance__f32.html#a57585aeca9dc8686e08df2865375a86d", null ]
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+<div class="title">arm_fir_sparse_instance_q15 Struct Reference</div>  </div>
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+<div class="contents">
+
+<p>Instance structure for the Q15 sparse FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a0f66b126dd8b85f7467cfb01b7bc4d77"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#a0f66b126dd8b85f7467cfb01b7bc4d77">numTaps</a></td></tr>
+<tr class="separator:a0f66b126dd8b85f7467cfb01b7bc4d77"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a89487f28cab52637426024005e478985"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#a89487f28cab52637426024005e478985">stateIndex</a></td></tr>
+<tr class="separator:a89487f28cab52637426024005e478985"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a98b92b0f5208110129b9a67b1db90408"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#a98b92b0f5208110129b9a67b1db90408">pState</a></td></tr>
+<tr class="separator:a98b92b0f5208110129b9a67b1db90408"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78a6565473b5f0b8c77c3f0f58a76069"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#a78a6565473b5f0b8c77c3f0f58a76069">pCoeffs</a></td></tr>
+<tr class="separator:a78a6565473b5f0b8c77c3f0f58a76069"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad14cc1070eecf7e1926d8f67a8273182"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#ad14cc1070eecf7e1926d8f67a8273182">maxDelay</a></td></tr>
+<tr class="separator:ad14cc1070eecf7e1926d8f67a8273182"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeab2855176c6efdb231a73a3672837d5"><td class="memItemLeft" align="right" valign="top">int32_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q15.html#aeab2855176c6efdb231a73a3672837d5">pTapDelay</a></td></tr>
+<tr class="separator:aeab2855176c6efdb231a73a3672837d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad14cc1070eecf7e1926d8f67a8273182"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q15::maxDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>maximum offset specified by the pTapDelay array. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f66b126dd8b85f7467cfb01b7bc4d77"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q15::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a78a6565473b5f0b8c77c3f0f58a76069"></a>
+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_sparse_instance_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a98b92b0f5208110129b9a67b1db90408"></a>
+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_fir_sparse_instance_q15::pState</td>
+        </tr>
+      </table>
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+<p>points to the state buffer array. The array is of length maxDelay+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
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+        </tr>
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+<p>points to the array of delay values. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
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+          <td class="memname">uint16_t arm_fir_sparse_instance_q15::stateIndex</td>
+        </tr>
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+</div><div class="memdoc">
+<p>state buffer index. Points to the oldest sample in the state buffer. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga5eaa80bf72bcccef5a2c5fc6648d1baa">arm_fir_sparse_init_q15()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga2bffda2e156e72427e19276cd9c3d3cc">arm_fir_sparse_q15()</a>.</p>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_sparse_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 sparse FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a07b6c01e58ec6dde384719130d36b0dc"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#a07b6c01e58ec6dde384719130d36b0dc">numTaps</a></td></tr>
+<tr class="separator:a07b6c01e58ec6dde384719130d36b0dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a557ed9d477e76e4ad2019344f19f568a"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#a557ed9d477e76e4ad2019344f19f568a">stateIndex</a></td></tr>
+<tr class="separator:a557ed9d477e76e4ad2019344f19f568a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a830be89daa5a393b225048889aa045d1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#a830be89daa5a393b225048889aa045d1">pState</a></td></tr>
+<tr class="separator:a830be89daa5a393b225048889aa045d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a093d6227f0d1597982cd083fb126f4e0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#a093d6227f0d1597982cd083fb126f4e0">pCoeffs</a></td></tr>
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+<tr class="memitem:afdd3a1dc72132c854dc379154b68b674"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#afdd3a1dc72132c854dc379154b68b674">maxDelay</a></td></tr>
+<tr class="separator:afdd3a1dc72132c854dc379154b68b674"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab87ae457adec8f727afefaa2599fc983"><td class="memItemLeft" align="right" valign="top">int32_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q31.html#ab87ae457adec8f727afefaa2599fc983">pTapDelay</a></td></tr>
+<tr class="separator:ab87ae457adec8f727afefaa2599fc983"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="afdd3a1dc72132c854dc379154b68b674"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q31::maxDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>maximum offset specified by the pTapDelay array. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a07b6c01e58ec6dde384719130d36b0dc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q31::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a093d6227f0d1597982cd083fb126f4e0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_sparse_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a830be89daa5a393b225048889aa045d1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_fir_sparse_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state buffer array. The array is of length maxDelay+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
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+          <td class="memname">int32_t* arm_fir_sparse_instance_q31::pTapDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of delay values. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_fir_sparse_instance_q31::stateIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>state buffer index. Points to the oldest sample in the state buffer. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga9a0bb2134bc85d3e55c6be6d946ee634">arm_fir_sparse_init_q31()</a>, and <a class="el" href="group___f_i_r___sparse.html#ga03e9c2f0f35ad67d20bac66be9f920ec">arm_fir_sparse_q31()</a>.</p>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_fir_sparse_instance_q7 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q7 sparse FIR filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a54cdd27ca1c672b126c38763ce678b1c"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q7.html#a54cdd27ca1c672b126c38763ce678b1c">numTaps</a></td></tr>
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+<tr class="memitem:a2d2e65473fe3a3f2b953b4e0b60824df"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q7.html#a2d2e65473fe3a3f2b953b4e0b60824df">stateIndex</a></td></tr>
+<tr class="separator:a2d2e65473fe3a3f2b953b4e0b60824df"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a18072cf3ef3666d588f0d49512f2b28f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q7.html#a18072cf3ef3666d588f0d49512f2b28f">pState</a></td></tr>
+<tr class="separator:a18072cf3ef3666d588f0d49512f2b28f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3dac86f15e33553e8f3e19e0d712bae5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q7.html#a3dac86f15e33553e8f3e19e0d712bae5">pCoeffs</a></td></tr>
+<tr class="separator:a3dac86f15e33553e8f3e19e0d712bae5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ac625393c84bc0342ffdf26fc4eba1ac1"><td class="memItemLeft" align="right" valign="top">int32_t *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__fir__sparse__instance__q7.html#ac625393c84bc0342ffdf26fc4eba1ac1">pTapDelay</a></td></tr>
+<tr class="separator:ac625393c84bc0342ffdf26fc4eba1ac1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af74dacc1d34c078283e50f2530eb91df"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q7::maxDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>maximum offset specified by the pTapDelay array. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a54cdd27ca1c672b126c38763ce678b1c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_fir_sparse_instance_q7::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
+</div>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>* arm_fir_sparse_instance_q7::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a18072cf3ef3666d588f0d49512f2b28f"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ae541b6f232c305361e9b416fc9eed263">q7_t</a>* arm_fir_sparse_instance_q7::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state buffer array. The array is of length maxDelay+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
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+          <td class="memname">int32_t* arm_fir_sparse_instance_q7::pTapDelay</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the array of delay values. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
+
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+      <table class="memname">
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+          <td class="memname">uint16_t arm_fir_sparse_instance_q7::stateIndex</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>state buffer index. Points to the oldest sample in the state buffer. </p>
+
+<p>Referenced by <a class="el" href="group___f_i_r___sparse.html#ga98f5c1a097d4572ce4ff3b0c58ebcdbd">arm_fir_sparse_init_q7()</a>, and <a class="el" href="group___f_i_r___sparse.html#gae86c145efc2d9ec32dc6d8c1ad2ccb3c">arm_fir_sparse_q7()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__fir__sparse__instance__q7.html">arm_fir_sparse_instance_q7</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<title>CMSIS-DSP: arm_iir_lattice_instance_f32 Struct Reference</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
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+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_iir_lattice_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point IIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:af8de449af5efe1f30be82f9ba35587ee"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__f32.html#af8de449af5efe1f30be82f9ba35587ee">numStages</a></td></tr>
+<tr class="separator:af8de449af5efe1f30be82f9ba35587ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a30babe7815510219e6e3d28e6e4a5969"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__f32.html#a30babe7815510219e6e3d28e6e4a5969">pState</a></td></tr>
+<tr class="separator:a30babe7815510219e6e3d28e6e4a5969"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa69fcdd3775e828d450ce1bbd978fa31"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__f32.html#aa69fcdd3775e828d450ce1bbd978fa31">pkCoeffs</a></td></tr>
+<tr class="separator:aa69fcdd3775e828d450ce1bbd978fa31"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afc7c8f577e6f27d097fe55f57e707f72"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__f32.html#afc7c8f577e6f27d097fe55f57e707f72">pvCoeffs</a></td></tr>
+<tr class="separator:afc7c8f577e6f27d097fe55f57e707f72"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="af8de449af5efe1f30be82f9ba35587ee"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_iir_lattice_instance_f32::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of stages in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa69fcdd3775e828d450ce1bbd978fa31"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_iir_lattice_instance_f32::pkCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the reflection coefficient array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32()</a>.</p>
+
+</div>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_iir_lattice_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numStages+blockSize. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="afc7c8f577e6f27d097fe55f57e707f72"></a>
+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_iir_lattice_instance_f32::pvCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the ladder coefficient array. The array is of length numStages+1. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga56164a0fe48619b8ceec160347bdd2ff">arm_iir_lattice_f32()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaed3b0230bb77439dc902daa625985e04">arm_iir_lattice_init_f32()</a>.</p>
+
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+    <li class="navelem"><a class="el" href="structarm__iir__lattice__instance__f32.html">arm_iir_lattice_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_iir_lattice_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 IIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a96fbed313bef01070409fa182d26ba3f"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q15.html#a96fbed313bef01070409fa182d26ba3f">numStages</a></td></tr>
+<tr class="separator:a96fbed313bef01070409fa182d26ba3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd0136ab917b529554d93f41a5e04618"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q15.html#afd0136ab917b529554d93f41a5e04618">pState</a></td></tr>
+<tr class="separator:afd0136ab917b529554d93f41a5e04618"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a4c4f57f45b223abbe2a9fb727bd2cad9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q15.html#a4c4f57f45b223abbe2a9fb727bd2cad9">pvCoeffs</a></td></tr>
+<tr class="separator:a4c4f57f45b223abbe2a9fb727bd2cad9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a96fbed313bef01070409fa182d26ba3f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint16_t arm_iir_lattice_instance_q15::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of stages in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>.</p>
+
+</div>
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+<a class="anchor" id="a41c214a1ec38d4a82fae8899d715dd29"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_iir_lattice_instance_q15::pkCoeffs</td>
+        </tr>
+      </table>
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+<p>points to the reflection coefficient array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>.</p>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_iir_lattice_instance_q15::pState</td>
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+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numStages+blockSize. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>.</p>
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_iir_lattice_instance_q15::pvCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the ladder coefficient array. The array is of length numStages+1. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#ga1f4bc2dd3d5641e96815d3a5aad58998">arm_iir_lattice_init_q15()</a>, and <a class="el" href="group___i_i_r___lattice.html#gaeb9e9599a288832ed123183eaa8b294a">arm_iir_lattice_q15()</a>.</p>
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+<a href="#pub-attribs">Data Fields</a>  </div>
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+<div class="title">arm_iir_lattice_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 IIR lattice filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a9df4570ed28c50fd9193ab654ff236ad"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q31.html#a9df4570ed28c50fd9193ab654ff236ad">numStages</a></td></tr>
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+<tr class="memitem:a941282745effd26a889fbfadf4b95e6a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q31.html#a941282745effd26a889fbfadf4b95e6a">pState</a></td></tr>
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+<tr class="memitem:a04507e2b982b1dfa97b7b55752dea6b9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__iir__lattice__instance__q31.html#a04507e2b982b1dfa97b7b55752dea6b9">pvCoeffs</a></td></tr>
+<tr class="separator:a04507e2b982b1dfa97b7b55752dea6b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a9df4570ed28c50fd9193ab654ff236ad"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_iir_lattice_instance_q31::numStages</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of stages in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31()</a>, and <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d30aa16aac7722936ea9dee59211863"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_iir_lattice_instance_q31::pkCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the reflection coefficient array. The array is of length numStages. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31()</a>, and <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>.</p>
+
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+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_iir_lattice_instance_q31::pState</td>
+        </tr>
+      </table>
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+<p>points to the state variable array. The array is of length numStages+blockSize. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31()</a>, and <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>.</p>
+
+</div>
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+<div class="memitem">
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_iir_lattice_instance_q31::pvCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the ladder coefficient array. The array is of length numStages+1. </p>
+
+<p>Referenced by <a class="el" href="group___i_i_r___lattice.html#gab686c14175581797d9c3ad7bf1d5cc1e">arm_iir_lattice_init_q31()</a>, and <a class="el" href="group___i_i_r___lattice.html#ga123b26fa9156cd8d3622dd85931741ed">arm_iir_lattice_q31()</a>.</p>
+
+</div>
+</div>
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="navelem"><a class="el" href="structarm__iir__lattice__instance__q31.html">arm_iir_lattice_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+    [ "pState", "structarm__iir__lattice__instance__q31.html#a941282745effd26a889fbfadf4b95e6a", null ],
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div id="MSearchSelectWindow"
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_linear_interp_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point Linear Interpolate function.  
+ <a href="structarm__linear__interp__instance__f32.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a95f02a926b16d35359aca5b31e813b11"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__linear__interp__instance__f32.html#a95f02a926b16d35359aca5b31e813b11">nValues</a></td></tr>
+<tr class="separator:a95f02a926b16d35359aca5b31e813b11"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a08352dc6ea82fbc0827408e018535481"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__linear__interp__instance__f32.html#a08352dc6ea82fbc0827408e018535481">x1</a></td></tr>
+<tr class="separator:a08352dc6ea82fbc0827408e018535481"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa8e2d686b5434a406d390b347b183511"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__linear__interp__instance__f32.html#aa8e2d686b5434a406d390b347b183511">xSpacing</a></td></tr>
+<tr class="separator:aa8e2d686b5434a406d390b347b183511"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab373001f6afad0850359c344a4d7eee4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__linear__interp__instance__f32.html#ab373001f6afad0850359c344a4d7eee4">pYData</a></td></tr>
+<tr class="separator:ab373001f6afad0850359c344a4d7eee4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_linear_interp_example_f32_8c-example.html#_a10">arm_linear_interp_example_f32.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a95f02a926b16d35359aca5b31e813b11"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_linear_interp_instance_f32::nValues</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>nValues </p>
+
+<p>Referenced by <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab373001f6afad0850359c344a4d7eee4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_linear_interp_instance_f32::pYData</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>pointer to the table of Y values </p>
+
+<p>Referenced by <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32()</a>.</p>
+
+</div>
+</div>
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+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_linear_interp_instance_f32::x1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>x1 </p>
+
+<p>Referenced by <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32()</a>.</p>
+
+</div>
+</div>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_linear_interp_instance_f32::xSpacing</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>xSpacing </p>
+
+<p>Referenced by <a class="el" href="group___linear_interpolate.html#ga2269263d810cafcd19681957b37d5cf6">arm_linear_interp_f32()</a>.</p>
+
+</div>
+</div>
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+</div><!-- doc-content -->
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+    <li class="navelem"><a class="el" href="structarm__linear__interp__instance__f32.html">arm_linear_interp_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point LMS filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:af73880d9009982f5d14529869494ec3d"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__f32.html#af73880d9009982f5d14529869494ec3d">numTaps</a></td></tr>
+<tr class="separator:af73880d9009982f5d14529869494ec3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaf94285be2f99b5b9af40bea8dcb14b9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__f32.html#aaf94285be2f99b5b9af40bea8dcb14b9">pState</a></td></tr>
+<tr class="separator:aaf94285be2f99b5b9af40bea8dcb14b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4795c6f7d3f17cec15c2fd09f66edd1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__f32.html#a4795c6f7d3f17cec15c2fd09f66edd1a">pCoeffs</a></td></tr>
+<tr class="separator:a4795c6f7d3f17cec15c2fd09f66edd1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae2af43d74c93dba16b876e10c97a5b99"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__f32.html#ae2af43d74c93dba16b876e10c97a5b99">mu</a></td></tr>
+<tr class="separator:ae2af43d74c93dba16b876e10c97a5b99"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ae2af43d74c93dba16b876e10c97a5b99"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_lms_instance_f32::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that controls filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32()</a>, and <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af73880d9009982f5d14529869494ec3d"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint16_t arm_lms_instance_f32::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32()</a>, and <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32()</a>.</p>
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+</div>
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_lms_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
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+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32()</a>, and <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaf94285be2f99b5b9af40bea8dcb14b9"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_lms_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#gae266d009e682180421601627c79a3843">arm_lms_f32()</a>, and <a class="el" href="group___l_m_s.html#ga9fc7adca0966ff2cec1746fca8364cee">arm_lms_init_f32()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__lms__instance__f32.html">arm_lms_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 LMS filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a0078e894f805af1b360369e619fb57b3"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html#a0078e894f805af1b360369e619fb57b3">numTaps</a></td></tr>
+<tr class="separator:a0078e894f805af1b360369e619fb57b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9a575ff82c1e68cbb583083439260d08"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html#a9a575ff82c1e68cbb583083439260d08">pState</a></td></tr>
+<tr class="separator:a9a575ff82c1e68cbb583083439260d08"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a42f95368b94898eb82608e1113d18cab"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html#a42f95368b94898eb82608e1113d18cab">pCoeffs</a></td></tr>
+<tr class="separator:a42f95368b94898eb82608e1113d18cab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aae46129d7cfd7f1c162cc502ed0a9d49"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html#aae46129d7cfd7f1c162cc502ed0a9d49">mu</a></td></tr>
+<tr class="separator:aae46129d7cfd7f1c162cc502ed0a9d49"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acca5fbaef4a52ae411de24c9a0b929cf"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q15.html#acca5fbaef4a52ae411de24c9a0b929cf">postShift</a></td></tr>
+<tr class="separator:acca5fbaef4a52ae411de24c9a0b929cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="aae46129d7cfd7f1c162cc502ed0a9d49"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_lms_instance_q15::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that controls filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15()</a>, and <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0078e894f805af1b360369e619fb57b3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_lms_instance_q15::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15()</a>, and <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a42f95368b94898eb82608e1113d18cab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_lms_instance_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15()</a>, and <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acca5fbaef4a52ae411de24c9a0b929cf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_lms_instance_q15::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit shift applied to coefficients. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15()</a>, and <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a575ff82c1e68cbb583083439260d08"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_lms_instance_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga9544cc26f18cd4465cfbed371be822b3">arm_lms_init_q15()</a>, and <a class="el" href="group___l_m_s.html#gacde16c17eb75979f81b34e2e2a58c7ac">arm_lms_q15()</a>.</p>
+
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+  <ul>
+    <li class="navelem"><a class="el" href="structarm__lms__instance__q15.html">arm_lms_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+    [ "pCoeffs", "structarm__lms__instance__q15.html#a42f95368b94898eb82608e1113d18cab", null ],
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+<title>CMSIS-DSP: arm_lms_instance_q31 Struct Reference</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 LMS filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ac0d84f7d054555931ef8a62511fbcb8a"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html#ac0d84f7d054555931ef8a62511fbcb8a">numTaps</a></td></tr>
+<tr class="separator:ac0d84f7d054555931ef8a62511fbcb8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a206d47b49de6f357f933ebe61520753c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html#a206d47b49de6f357f933ebe61520753c">pState</a></td></tr>
+<tr class="separator:a206d47b49de6f357f933ebe61520753c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4afe56e991a5416adfd462aa88bda500"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html#a4afe56e991a5416adfd462aa88bda500">pCoeffs</a></td></tr>
+<tr class="separator:a4afe56e991a5416adfd462aa88bda500"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acb6ca9996b3c5f740d5d6c8e9f4f1d46"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html#acb6ca9996b3c5f740d5d6c8e9f4f1d46">mu</a></td></tr>
+<tr class="separator:acb6ca9996b3c5f740d5d6c8e9f4f1d46"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4705a8f0011bb9166e09bf5bd51e595e"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__instance__q31.html#a4705a8f0011bb9166e09bf5bd51e595e">postShift</a></td></tr>
+<tr class="separator:a4705a8f0011bb9166e09bf5bd51e595e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="acb6ca9996b3c5f740d5d6c8e9f4f1d46"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_lms_instance_q31::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that controls filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31()</a>, and <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0d84f7d054555931ef8a62511fbcb8a"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">uint16_t arm_lms_instance_q31::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31()</a>, and <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>.</p>
+
+</div>
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+<div class="memitem">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_lms_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31()</a>, and <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4705a8f0011bb9166e09bf5bd51e595e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_lms_instance_q31::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit shift applied to coefficients. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31()</a>, and <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a206d47b49de6f357f933ebe61520753c"></a>
+<div class="memitem">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_lms_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s.html#ga8d4bc251169f4b102355097a9f7530d6">arm_lms_init_q31()</a>, and <a class="el" href="group___l_m_s.html#ga6a0abfe6041253a6f91c63b383a64257">arm_lms_q31()</a>.</p>
+
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+  <ul>
+    <li class="navelem"><a class="el" href="structarm__lms__instance__q31.html">arm_lms_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
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+    [ "postShift", "structarm__lms__instance__q31.html#a4705a8f0011bb9166e09bf5bd51e595e", null ],
+    [ "pState", "structarm__lms__instance__q31.html#a206d47b49de6f357f933ebe61520753c", null ]
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_norm_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point normalized LMS filter.  
+ <a href="structarm__lms__norm__instance__f32.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ac95f8ca3d816524c2070643852fac5e8"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#ac95f8ca3d816524c2070643852fac5e8">numTaps</a></td></tr>
+<tr class="separator:ac95f8ca3d816524c2070643852fac5e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0bc03338687002ed5f2e4a363eb095ec"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#a0bc03338687002ed5f2e4a363eb095ec">pState</a></td></tr>
+<tr class="separator:a0bc03338687002ed5f2e4a363eb095ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1ba688d90aba7de003ed4ad8e2e7ddda"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#a1ba688d90aba7de003ed4ad8e2e7ddda">pCoeffs</a></td></tr>
+<tr class="separator:a1ba688d90aba7de003ed4ad8e2e7ddda"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a84401d3cfc6c40f69c08223cf341b886"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#a84401d3cfc6c40f69c08223cf341b886">mu</a></td></tr>
+<tr class="separator:a84401d3cfc6c40f69c08223cf341b886"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a4119e4f39447bbee31b066deafa16f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#a6a4119e4f39447bbee31b066deafa16f">energy</a></td></tr>
+<tr class="separator:a6a4119e4f39447bbee31b066deafa16f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aec958fe89b164a30f38bcca9f5d96218"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__f32.html#aec958fe89b164a30f38bcca9f5d96218">x0</a></td></tr>
+<tr class="separator:aec958fe89b164a30f38bcca9f5d96218"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_signal_converge_example_f32_8c-example.html#_a8">arm_signal_converge_example_f32.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a6a4119e4f39447bbee31b066deafa16f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_lms_norm_instance_f32::energy</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous frame energy. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a84401d3cfc6c40f69c08223cf341b886"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_lms_norm_instance_f32::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that control filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac95f8ca3d816524c2070643852fac5e8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_lms_norm_instance_f32::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ba688d90aba7de003ed4ad8e2e7ddda"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_lms_norm_instance_f32::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
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+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_lms_norm_instance_f32::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
+
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+<a class="anchor" id="aec958fe89b164a30f38bcca9f5d96218"></a>
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_lms_norm_instance_f32::x0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous input sample. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga2418c929087c6eba719758eaae3f3300">arm_lms_norm_f32()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gac7ccbaea863882056eee815456464670">arm_lms_norm_init_f32()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__lms__norm__instance__f32.html">arm_lms_norm_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_norm_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 normalized LMS filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<tr class="memitem:aa0d435fbcf7dedb7179d4467e9b79e9f"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q15.html#aa0d435fbcf7dedb7179d4467e9b79e9f">postShift</a></td></tr>
+<tr class="separator:aa0d435fbcf7dedb7179d4467e9b79e9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9aabb0e4c79f3db807e7a441fa36f5f8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q15.html#a9aabb0e4c79f3db807e7a441fa36f5f8">recipTable</a></td></tr>
+<tr class="separator:a9aabb0e4c79f3db807e7a441fa36f5f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1c81ded399919d8181026bc1c8602e7b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q15.html#a1c81ded399919d8181026bc1c8602e7b">energy</a></td></tr>
+<tr class="separator:a1c81ded399919d8181026bc1c8602e7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3fc1d6f97d2c6d5324871de6895cb7e9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q15.html#a3fc1d6f97d2c6d5324871de6895cb7e9">x0</a></td></tr>
+<tr class="separator:a3fc1d6f97d2c6d5324871de6895cb7e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a1c81ded399919d8181026bc1c8602e7b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_lms_norm_instance_q15::energy</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous frame energy. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ce00f21d11cfda6d963240641deea8c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_lms_norm_instance_q15::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that controls filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9ee7a45f4f315d7996a969e25fdc7146"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_lms_norm_instance_q15::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae7bca648c75a2ffa02d87852bb78bc8a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_lms_norm_instance_q15::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa0d435fbcf7dedb7179d4467e9b79e9f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_lms_norm_instance_q15::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit shift applied to coefficients. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa4de490b3bdbd03561b76ee07901c8e3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_lms_norm_instance_q15::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9aabb0e4c79f3db807e7a441fa36f5f8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_lms_norm_instance_q15::recipTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Points to the reciprocal initial value table. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3fc1d6f97d2c6d5324871de6895cb7e9"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_lms_norm_instance_q15::x0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous input sample. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga213ab1ee2e154cc2fa30d667b1994b89">arm_lms_norm_init_q15()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#gad47486a399dedb0bc85a5990ec5cf981">arm_lms_norm_q15()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__lms__norm__instance__q15.html">arm_lms_norm_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_lms_norm_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 normalized LMS filter.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a28e4c085af69c9c3e2e95dacf8004c3e"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a28e4c085af69c9c3e2e95dacf8004c3e">numTaps</a></td></tr>
+<tr class="separator:a28e4c085af69c9c3e2e95dacf8004c3e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6b25c96cf048b77078d62f4252a01ec4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a6b25c96cf048b77078d62f4252a01ec4">pState</a></td></tr>
+<tr class="separator:a6b25c96cf048b77078d62f4252a01ec4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a57a64c1ff102d033c1bd05043f1d9955"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a57a64c1ff102d033c1bd05043f1d9955">pCoeffs</a></td></tr>
+<tr class="separator:a57a64c1ff102d033c1bd05043f1d9955"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a28d7b9e437817f83397e081967e90f3c"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a28d7b9e437817f83397e081967e90f3c">postShift</a></td></tr>
+<tr class="separator:a28d7b9e437817f83397e081967e90f3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a85836d0907077b9ac660f7bbbaa9d694"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a85836d0907077b9ac660f7bbbaa9d694">recipTable</a></td></tr>
+<tr class="separator:a85836d0907077b9ac660f7bbbaa9d694"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c0ae42869afec8555dc8e3a7ef9b386"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a3c0ae42869afec8555dc8e3a7ef9b386">energy</a></td></tr>
+<tr class="separator:a3c0ae42869afec8555dc8e3a7ef9b386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a47c4466d644e0d8ba407995adfa9b917"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__lms__norm__instance__q31.html#a47c4466d644e0d8ba407995adfa9b917">x0</a></td></tr>
+<tr class="separator:a47c4466d644e0d8ba407995adfa9b917"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a3c0ae42869afec8555dc8e3a7ef9b386"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_lms_norm_instance_q31::energy</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous frame energy. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad3dd2a2406e02fdaa7782ba6c3940a64"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_lms_norm_instance_q31::mu</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>step size that controls filter coefficient updates. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a28e4c085af69c9c3e2e95dacf8004c3e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_lms_norm_instance_q31::numTaps</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of coefficients in the filter. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57a64c1ff102d033c1bd05043f1d9955"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_lms_norm_instance_q31::pCoeffs</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the coefficient array. The array is of length numTaps. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a28d7b9e437817f83397e081967e90f3c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_lms_norm_instance_q31::postShift</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>bit shift applied to coefficients. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6b25c96cf048b77078d62f4252a01ec4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_lms_norm_instance_q31::pState</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the state variable array. The array is of length numTaps+blockSize-1. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a85836d0907077b9ac660f7bbbaa9d694"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_lms_norm_instance_q31::recipTable</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the reciprocal initial value table. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a47c4466d644e0d8ba407995adfa9b917"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_lms_norm_instance_q31::x0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>saves previous input sample. </p>
+
+<p>Referenced by <a class="el" href="group___l_m_s___n_o_r_m.html#ga1d9659dbbea4c89a7a9d14d5fc0dd490">arm_lms_norm_init_q31()</a>, and <a class="el" href="group___l_m_s___n_o_r_m.html#ga7128775e99817c183a7d7ad34e8b6e05">arm_lms_norm_q31()</a>.</p>
+
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+    <li class="navelem"><a class="el" href="structarm__lms__norm__instance__q31.html">arm_lms_norm_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "mu", "structarm__lms__norm__instance__q31.html#ad3dd2a2406e02fdaa7782ba6c3940a64", null ],
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+    [ "postShift", "structarm__lms__norm__instance__q31.html#a28d7b9e437817f83397e081967e90f3c", null ],
+    [ "pState", "structarm__lms__norm__instance__q31.html#a6b25c96cf048b77078d62f4252a01ec4", null ],
+    [ "recipTable", "structarm__lms__norm__instance__q31.html#a85836d0907077b9ac660f7bbbaa9d694", null ],
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point matrix structure.  
+ <a href="structarm__matrix__instance__f32.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a23f4e34d70a82c9cad7612add5640b7b"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">numRows</a></td></tr>
+<tr class="separator:a23f4e34d70a82c9cad7612add5640b7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acdd1fb73734df68b89565c54f1dd8ae2"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">numCols</a></td></tr>
+<tr class="separator:acdd1fb73734df68b89565c54f1dd8ae2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af3917c032600a9dfd5ed4a96f074910a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">pData</a></td></tr>
+<tr class="separator:af3917c032600a9dfd5ed4a96f074910a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_class_marks_example_f32_8c-example.html#_a13">arm_class_marks_example_f32.c</a>, and <a class="el" href="arm_matrix_example_f32_8c-example.html#_a9">arm_matrix_example_f32.c</a>.</dd>
+</dl></div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="acdd1fb73734df68b89565c54f1dd8ae2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_f32::numCols</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of columns of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32()</a>, <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32()</a>, <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32()</a>, and <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a23f4e34d70a82c9cad7612add5640b7b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_f32::numRows</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of rows of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga04bbf64a5f9c9e57dd1efb26a768aba1">arm_mat_add_f32()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga1adb839ac84445b8c2f04efa43faef35">arm_mat_cmplx_mult_f32()</a>, <a class="el" href="group___matrix_init.html#ga11e3dc41592a6401c13182fef9416a27">arm_mat_init_f32()</a>, <a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32()</a>, <a class="el" href="group___matrix_mult.html#ga917bf0270310c1d3f0eda1fc7c0026a0">arm_mat_mult_f32()</a>, <a class="el" href="group___matrix_scale.html#ga9cb4e385b18c9a0b9cbc940c1067ca12">arm_mat_scale_f32()</a>, <a class="el" href="group___matrix_sub.html#gac8b72fb70246ccfee3b372002345732c">arm_mat_sub_f32()</a>, and <a class="el" href="group___matrix_trans.html#gad7dd9f108429da13d3864696ceeec789">arm_mat_trans_f32()</a>.</p>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_instance_f64 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point matrix structure.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a8b44d1e5003345047c4ead9e1593bf22"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__f64.html#a8b44d1e5003345047c4ead9e1593bf22">numRows</a></td></tr>
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+<p>number of columns of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64()</a>.</p>
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+<p>number of rows of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64()</a>.</p>
+
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+</div>
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+<p>points to the data of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64()</a>.</p>
+
+</div>
+</div>
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+<p>Instance structure for the Q15 matrix structure.  
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a9bac6ed54be287c4d4f01a1a28be65f5"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q15.html#a9bac6ed54be287c4d4f01a1a28be65f5">numRows</a></td></tr>
+<tr class="separator:a9bac6ed54be287c4d4f01a1a28be65f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acbbce67ba058d8e1c867c71d57288c97"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q15.html#acbbce67ba058d8e1c867c71d57288c97">numCols</a></td></tr>
+<tr class="separator:acbbce67ba058d8e1c867c71d57288c97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6da33a5553e634787d0f515cf8d724af"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af">pData</a></td></tr>
+<tr class="separator:a6da33a5553e634787d0f515cf8d724af"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="acbbce67ba058d8e1c867c71d57288c97"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_q15::numCols</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of columns of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15()</a>, <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15()</a>, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15()</a>, <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15()</a>, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15()</a>, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15()</a>, and <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9bac6ed54be287c4d4f01a1a28be65f5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_q15::numRows</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of rows of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15()</a>, <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15()</a>, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15()</a>, <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15()</a>, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15()</a>, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15()</a>, and <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6da33a5553e634787d0f515cf8d724af"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_matrix_instance_q15::pData</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the data of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga147e90b7c12a162735ab8824127a33ee">arm_mat_add_q15()</a>, <a class="el" href="group___cmplx_matrix_mult.html#ga63066615e7d6f6a44f4358725092419e">arm_mat_cmplx_mult_q15()</a>, <a class="el" href="group___matrix_init.html#ga31a7c2b991803d49719393eb2d53dc26">arm_mat_init_q15()</a>, <a class="el" href="group___matrix_mult.html#ga08f37d93a5bfef0c5000dc5e0a411f93">arm_mat_mult_fast_q15()</a>, <a class="el" href="group___matrix_mult.html#ga3657b99a9667945373e520dbac0f4516">arm_mat_mult_q15()</a>, <a class="el" href="group___matrix_scale.html#ga7521769e2cf1c3d9c4656138cd2ae2ca">arm_mat_scale_q15()</a>, <a class="el" href="group___matrix_sub.html#gaf647776a425b7f9dd0aca3e11d81f02f">arm_mat_sub_q15()</a>, and <a class="el" href="group___matrix_trans.html#ga4f4f821cc695fd0ef9061d702e08050a">arm_mat_trans_q15()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__matrix__instance__q15.html">arm_matrix_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+    [ "pData", "structarm__matrix__instance__q15.html#a6da33a5553e634787d0f515cf8d724af", null ]
+];
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>arm_matrix_instance_q31 Struct Reference</title>
+<title>CMSIS-DSP: arm_matrix_instance_q31 Struct Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(0)"><span class="SelectionMark">&#160;</span>All</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(1)"><span class="SelectionMark">&#160;</span>Data Structures</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(2)"><span class="SelectionMark">&#160;</span>Files</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(3)"><span class="SelectionMark">&#160;</span>Functions</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(4)"><span class="SelectionMark">&#160;</span>Variables</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(5)"><span class="SelectionMark">&#160;</span>Typedefs</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(6)"><span class="SelectionMark">&#160;</span>Enumerations</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(7)"><span class="SelectionMark">&#160;</span>Enumerator</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(8)"><span class="SelectionMark">&#160;</span>Macros</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(9)"><span class="SelectionMark">&#160;</span>Groups</a><a class="SelectItem" href="javascript:void(0)" onclick="searchBox.OnSelectItem(10)"><span class="SelectionMark">&#160;</span>Pages</a></div>
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+        name="MSearchResults" id="MSearchResults">
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+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_matrix_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 matrix structure.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a63bacac158a821c8cfc06088d251598c"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q31.html#a63bacac158a821c8cfc06088d251598c">numRows</a></td></tr>
+<tr class="separator:a63bacac158a821c8cfc06088d251598c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abd161da7614eda927157f18b698074b1"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q31.html#abd161da7614eda927157f18b698074b1">numCols</a></td></tr>
+<tr class="separator:abd161da7614eda927157f18b698074b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a09a64267c0579fef086efc9059741e56"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56">pData</a></td></tr>
+<tr class="separator:a09a64267c0579fef086efc9059741e56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="abd161da7614eda927157f18b698074b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_q31::numCols</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of columns of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31()</a>, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31()</a>, <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31()</a>, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31()</a>, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31()</a>, and <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63bacac158a821c8cfc06088d251598c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_matrix_instance_q31::numRows</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>number of rows of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31()</a>, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31()</a>, <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31()</a>, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31()</a>, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31()</a>, and <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09a64267c0579fef086efc9059741e56"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_matrix_instance_q31::pData</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the data of the matrix. </p>
+
+<p>Referenced by <a class="el" href="group___matrix_add.html#ga7d9d7d81a0832a17b831aad1e4a5dc16">arm_mat_add_q31()</a>, <a class="el" href="group___cmplx_matrix_mult.html#gaaf3c0b171ca8412c77bab9fa90804737">arm_mat_cmplx_mult_q31()</a>, <a class="el" href="group___matrix_init.html#ga48a5e5d37e1f062cc57fcfaf683343cc">arm_mat_init_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2785e8c1b785348b0c439b56aaf585a3">arm_mat_mult_fast_q31()</a>, <a class="el" href="group___matrix_mult.html#ga2ec612a8c2c4916477fb9bc1ab548a6e">arm_mat_mult_q31()</a>, <a class="el" href="group___matrix_scale.html#ga609743821ee81fa8c34c4bcdc1ed9744">arm_mat_scale_q31()</a>, <a class="el" href="group___matrix_sub.html#ga39f42e0e3b7f115fbb909d6ff4e1329d">arm_mat_sub_q31()</a>, and <a class="el" href="group___matrix_trans.html#ga30a4d49489ac67ff98a46b9f58f73bf1">arm_mat_trans_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__matrix__instance__q31.html">arm_matrix_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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new file mode 100644
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--- /dev/null
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+    [ "pData", "structarm__matrix__instance__q31.html#a09a64267c0579fef086efc9059741e56", null ]
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+<title>CMSIS-DSP: arm_pid_instance_f32 Struct Reference</title>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_pid_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point PID Control.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ad7b0bed64915d0a25a3409fa2dc45556"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#ad7b0bed64915d0a25a3409fa2dc45556">A0</a></td></tr>
+<tr class="separator:ad7b0bed64915d0a25a3409fa2dc45556"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7def89571c50f7137a213326a396e560"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#a7def89571c50f7137a213326a396e560">A1</a></td></tr>
+<tr class="separator:a7def89571c50f7137a213326a396e560"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a155acf642ba2f521869f19d694cd7fa0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#a155acf642ba2f521869f19d694cd7fa0">A2</a></td></tr>
+<tr class="separator:a155acf642ba2f521869f19d694cd7fa0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd394e1e52fb1d526aa472c83b8f2464"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#afd394e1e52fb1d526aa472c83b8f2464">state</a> [3]</td></tr>
+<tr class="separator:afd394e1e52fb1d526aa472c83b8f2464"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa9b9aa9e413c6cec376a9dddc9f01ebe"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#aa9b9aa9e413c6cec376a9dddc9f01ebe">Kp</a></td></tr>
+<tr class="separator:aa9b9aa9e413c6cec376a9dddc9f01ebe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac0feffde05fe391eeab3bf78e953830a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#ac0feffde05fe391eeab3bf78e953830a">Ki</a></td></tr>
+<tr class="separator:ac0feffde05fe391eeab3bf78e953830a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad5b68fbf84d16188ae4747ff91f6f088"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__f32.html#ad5b68fbf84d16188ae4747ff91f6f088">Kd</a></td></tr>
+<tr class="separator:ad5b68fbf84d16188ae4747ff91f6f088"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad7b0bed64915d0a25a3409fa2dc45556"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::A0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A0 = Kp + Ki + Kd . </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32()</a>, and <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7def89571c50f7137a213326a396e560"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::A1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A1 = -Kp - 2Kd. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32()</a>, and <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a155acf642ba2f521869f19d694cd7fa0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::A2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A2 = Kd . </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32()</a>, and <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad5b68fbf84d16188ae4747ff91f6f088"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::Kd</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derivative gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0feffde05fe391eeab3bf78e953830a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::Ki</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The integral gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa9b9aa9e413c6cec376a9dddc9f01ebe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::Kp</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The proportional gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd394e1e52fb1d526aa472c83b8f2464"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> arm_pid_instance_f32::state[3]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The state array of length 3. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gac5c79ed46abf2d72b8cf41fa6c708bda">arm_pid_f32()</a>, <a class="el" href="group___p_i_d.html#gae31536b19b82b93ed184fb1ab73cfcb3">arm_pid_init_f32()</a>, and <a class="el" href="group___p_i_d.html#ga9ec860bcb6f8ca31205bf0f1b51ab723">arm_pid_reset_f32()</a>.</p>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_pid_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 PID Control.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:ad77f3a2823c7f96de42c92a3fbf3246b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#ad77f3a2823c7f96de42c92a3fbf3246b">A0</a></td></tr>
+<tr class="separator:ad77f3a2823c7f96de42c92a3fbf3246b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1b8412c517071962a9acfdc6778906ec"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#a1b8412c517071962a9acfdc6778906ec">A1</a></td></tr>
+<tr class="separator:a1b8412c517071962a9acfdc6778906ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4a3f0a878b5b6b055e3478a2f244cd30"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#a4a3f0a878b5b6b055e3478a2f244cd30">state</a> [3]</td></tr>
+<tr class="separator:a4a3f0a878b5b6b055e3478a2f244cd30"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad228aae24a1b6d855c93a8b9bbc1c4f1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#ad228aae24a1b6d855c93a8b9bbc1c4f1">Kp</a></td></tr>
+<tr class="separator:ad228aae24a1b6d855c93a8b9bbc1c4f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0dcc19d5c8f7bc401acea9e8318cd777"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#a0dcc19d5c8f7bc401acea9e8318cd777">Ki</a></td></tr>
+<tr class="separator:a0dcc19d5c8f7bc401acea9e8318cd777"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af5d4b53091f19eff7536636b7cc43111"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q15.html#af5d4b53091f19eff7536636b7cc43111">Kd</a></td></tr>
+<tr class="separator:af5d4b53091f19eff7536636b7cc43111"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ad77f3a2823c7f96de42c92a3fbf3246b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_instance_q15::A0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A0 = Kp + Ki + Kd . </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>, and <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1b8412c517071962a9acfdc6778906ec"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q15::A1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain A1 = -Kp - 2Kd | Kd. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>, and <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af5d4b53091f19eff7536636b7cc43111"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_instance_q15::Kd</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derivative gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0dcc19d5c8f7bc401acea9e8318cd777"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_instance_q15::Ki</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The integral gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad228aae24a1b6d855c93a8b9bbc1c4f1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_instance_q15::Kp</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The proportional gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a3f0a878b5b6b055e3478a2f244cd30"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> arm_pid_instance_q15::state[3]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The state array of length 3. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#ga2cb1e3d3ebb167348fdabec74653d5c3">arm_pid_init_q15()</a>, <a class="el" href="group___p_i_d.html#ga084f646bbb20d55f225c3efafcf7fc1f">arm_pid_q15()</a>, and <a class="el" href="group___p_i_d.html#ga408566dacb4fa6e0458b2c75672e525f">arm_pid_reset_q15()</a>.</p>
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+    [ "A1", "structarm__pid__instance__q15.html#a1b8412c517071962a9acfdc6778906ec", null ],
+    [ "Kd", "structarm__pid__instance__q15.html#af5d4b53091f19eff7536636b7cc43111", null ],
+    [ "Ki", "structarm__pid__instance__q15.html#a0dcc19d5c8f7bc401acea9e8318cd777", null ],
+    [ "Kp", "structarm__pid__instance__q15.html#ad228aae24a1b6d855c93a8b9bbc1c4f1", null ],
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_pid_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 PID Control.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:aa5332635ce9c7078cdb4c1ecf442eadd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q31.html#aa5332635ce9c7078cdb4c1ecf442eadd">A0</a></td></tr>
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+<tr class="separator:a3e34537c53af4f9ad7bfffa4dff27c82"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a228e4a64da6014844a0a671a1fa391d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac2410bf7f856d58dc1d773d4983cac8e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q31.html#ac2410bf7f856d58dc1d773d4983cac8e">Kp</a></td></tr>
+<tr class="separator:ac2410bf7f856d58dc1d773d4983cac8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa861d69fd398f29aa0b4b455a823ed72"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q31.html#aa861d69fd398f29aa0b4b455a823ed72">Ki</a></td></tr>
+<tr class="separator:aa861d69fd398f29aa0b4b455a823ed72"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab4ff371d14441df501f1169f71cbd17"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__pid__instance__q31.html#aab4ff371d14441df501f1169f71cbd17">Kd</a></td></tr>
+<tr class="separator:aab4ff371d14441df501f1169f71cbd17"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="aa5332635ce9c7078cdb4c1ecf442eadd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::A0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A0 = Kp + Ki + Kd . </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>, and <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2f7492bd6fb92fae5e2de7fbbec39b0e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::A1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A1 = -Kp - 2Kd. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>, and <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e34537c53af4f9ad7bfffa4dff27c82"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::A2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derived gain, A2 = Kd . </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>, and <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab4ff371d14441df501f1169f71cbd17"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::Kd</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The derivative gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa861d69fd398f29aa0b4b455a823ed72"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::Ki</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The integral gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac2410bf7f856d58dc1d773d4983cac8e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::Kp</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The proportional gain. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a228e4a64da6014844a0a671a1fa391d4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> arm_pid_instance_q31::state[3]</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The state array of length 3. </p>
+
+<p>Referenced by <a class="el" href="group___p_i_d.html#gad9d88485234fa9460b1ce9e64989ac86">arm_pid_init_q31()</a>, <a class="el" href="group___p_i_d.html#ga5f6f941e7ae981728dd3a662f8f4ecd7">arm_pid_q31()</a>, and <a class="el" href="group___p_i_d.html#gaeecbacd3fb37c608ec25474d3a0dffa9">arm_pid_reset_q31()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__pid__instance__q31.html">arm_pid_instance_q31</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+    [ "A1", "structarm__pid__instance__q31.html#a2f7492bd6fb92fae5e2de7fbbec39b0e", null ],
+    [ "A2", "structarm__pid__instance__q31.html#a3e34537c53af4f9ad7bfffa4dff27c82", null ],
+    [ "Kd", "structarm__pid__instance__q31.html#aab4ff371d14441df501f1169f71cbd17", null ],
+    [ "Ki", "structarm__pid__instance__q31.html#aa861d69fd398f29aa0b4b455a823ed72", null ],
+    [ "Kp", "structarm__pid__instance__q31.html#ac2410bf7f856d58dc1d773d4983cac8e", null ],
+    [ "state", "structarm__pid__instance__q31.html#a228e4a64da6014844a0a671a1fa391d4", null ]
+];
\ No newline at end of file
diff --git a/Documentation/DSP/html/structarm__rfft__fast__instance__f32.html b/Documentation/DSP/html/structarm__rfft__fast__instance__f32.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-DSP: arm_rfft_fast_instance_f32 Struct Reference</title>
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
+   </div>
+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_rfft_fast_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point RFFT/RIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a37419ababdfb3151b1891ae6bcd21012"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012">Sint</a></td></tr>
+<tr class="separator:a37419ababdfb3151b1891ae6bcd21012"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aef06ab665041ec36f5b25d464f0cab14"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__fast__instance__f32.html#aef06ab665041ec36f5b25d464f0cab14">fftLenRFFT</a></td></tr>
+<tr class="separator:aef06ab665041ec36f5b25d464f0cab14"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f30b04f163fabc1b24421d3c323d5fc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__fast__instance__f32.html#a9f30b04f163fabc1b24421d3c323d5fc">pTwiddleRFFT</a></td></tr>
+<tr class="separator:a9f30b04f163fabc1b24421d3c323d5fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="aef06ab665041ec36f5b25d464f0cab14"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_rfft_fast_instance_f32::fftLenRFFT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the real sequence </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>, and <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9f30b04f163fabc1b24421d3c323d5fc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_rfft_fast_instance_f32::pTwiddleRFFT</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Twiddle factors real stage </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>, <a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">merge_rfft_f32()</a>, and <a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">stage_rfft_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a37419ababdfb3151b1891ae6bcd21012"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__cfft__instance__f32.html">arm_cfft_instance_f32</a> arm_rfft_fast_instance_f32::Sint</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Internal CFFT structure. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga180d8b764d59cbb85d37a2d5f7cd9799">arm_rfft_fast_f32()</a>, <a class="el" href="group___real_f_f_t.html#gac5fceb172551e7c11eb4d0e17ef15aa3">arm_rfft_fast_init_f32()</a>, <a class="el" href="arm__rfft__fast__f32_8c.html#a93258bc1e64a939a8ebd086367e459af">merge_rfft_f32()</a>, and <a class="el" href="arm__rfft__fast__f32_8c.html#a47157c5a53c8aac5e80fda31acf1f9cc">stage_rfft_f32()</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__rfft__fast__instance__f32.html">arm_rfft_fast_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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diff --git a/Documentation/DSP/html/structarm__rfft__fast__instance__f32.js b/Documentation/DSP/html/structarm__rfft__fast__instance__f32.js
new file mode 100644
index 0000000..3efa62c
--- /dev/null
+++ b/Documentation/DSP/html/structarm__rfft__fast__instance__f32.js
@@ -0,0 +1,6 @@
+var structarm__rfft__fast__instance__f32 =
+[
+    [ "fftLenRFFT", "structarm__rfft__fast__instance__f32.html#aef06ab665041ec36f5b25d464f0cab14", null ],
+    [ "pTwiddleRFFT", "structarm__rfft__fast__instance__f32.html#a9f30b04f163fabc1b24421d3c323d5fc", null ],
+    [ "Sint", "structarm__rfft__fast__instance__f32.html#a37419ababdfb3151b1891ae6bcd21012", null ]
+];
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+<title>CMSIS-DSP: arm_rfft_instance_f32 Struct Reference</title>
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+   <div id="projectname">CMSIS-DSP
+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+   <div id="projectbrief">CMSIS DSP Software Library</div>
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_rfft_instance_f32 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the floating-point RFFT/RIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a4219d4669699e4efdcb150ed7a0d9a57"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a4219d4669699e4efdcb150ed7a0d9a57">fftLenReal</a></td></tr>
+<tr class="separator:a4219d4669699e4efdcb150ed7a0d9a57"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a075076e07ebb8521d8e3b49a31db6c57"><td class="memItemLeft" align="right" valign="top">uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a075076e07ebb8521d8e3b49a31db6c57">fftLenBy2</a></td></tr>
+<tr class="separator:a075076e07ebb8521d8e3b49a31db6c57"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5ee6d10a934ab4b666e0bb286c3d633f"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a5ee6d10a934ab4b666e0bb286c3d633f">ifftFlagR</a></td></tr>
+<tr class="separator:a5ee6d10a934ab4b666e0bb286c3d633f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac342f3248157cbbd2f04a3c8ec9fc9eb"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#ac342f3248157cbbd2f04a3c8ec9fc9eb">bitReverseFlagR</a></td></tr>
+<tr class="separator:ac342f3248157cbbd2f04a3c8ec9fc9eb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aede85350fb5ae6baa1b3e8bfa15b18d6"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#aede85350fb5ae6baa1b3e8bfa15b18d6">twidCoefRModifier</a></td></tr>
+<tr class="separator:aede85350fb5ae6baa1b3e8bfa15b18d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a534cc7e6e9b3e3dd022fad611c762142"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a534cc7e6e9b3e3dd022fad611c762142">pTwiddleAReal</a></td></tr>
+<tr class="separator:a534cc7e6e9b3e3dd022fad611c762142"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a23543ecfd027fea2477fe1eea23c3c4d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a23543ecfd027fea2477fe1eea23c3c4d">pTwiddleBReal</a></td></tr>
+<tr class="separator:a23543ecfd027fea2477fe1eea23c3c4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f47ba9f50c81e4445ae3827b981bc05"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__f32.html#a9f47ba9f50c81e4445ae3827b981bc05">pCfft</a></td></tr>
+<tr class="separator:a9f47ba9f50c81e4445ae3827b981bc05"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="ac342f3248157cbbd2f04a3c8ec9fc9eb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_f32::bitReverseFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a075076e07ebb8521d8e3b49a31db6c57"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint16_t arm_rfft_instance_f32::fftLenBy2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the complex FFT. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4219d4669699e4efdcb150ed7a0d9a57"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint32_t arm_rfft_instance_f32::fftLenReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the real FFT. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ee6d10a934ab4b666e0bb286c3d633f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_f32::ifftFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9f47ba9f50c81e4445ae3827b981bc05"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structarm__cfft__radix4__instance__f32.html">arm_cfft_radix4_instance_f32</a>* arm_rfft_instance_f32::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a534cc7e6e9b3e3dd022fad611c762142"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_rfft_instance_f32::pTwiddleAReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a23543ecfd027fea2477fe1eea23c3c4d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#a4611b605e45ab401f02cab15c5e38715">float32_t</a>* arm_rfft_instance_f32::pTwiddleBReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the imag twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
+
+</div>
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+<a class="anchor" id="aede85350fb5ae6baa1b3e8bfa15b18d6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">uint32_t arm_rfft_instance_f32::twidCoefRModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga3df1766d230532bc068fc4ed69d0fcdc">arm_rfft_f32()</a>, and <a class="el" href="group___real_f_f_t.html#ga10717ee326bf50832ef1c25b85a23068">arm_rfft_init_f32()</a>.</p>
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+    <li class="navelem"><a class="el" href="structarm__rfft__instance__f32.html">arm_rfft_instance_f32</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+   <div id="projectname">CMSIS-DSP
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">arm_rfft_instance_q15 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q15 RFFT/RIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:aac5cf9e825917cbb14f439e56bb86ab3"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#aac5cf9e825917cbb14f439e56bb86ab3">fftLenReal</a></td></tr>
+<tr class="separator:aac5cf9e825917cbb14f439e56bb86ab3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8051ffe268c147e431e1bea7bb4c4258"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#a8051ffe268c147e431e1bea7bb4c4258">ifftFlagR</a></td></tr>
+<tr class="separator:a8051ffe268c147e431e1bea7bb4c4258"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c65cd40e0098ec2f5c0dc31488b9bc6"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#a4c65cd40e0098ec2f5c0dc31488b9bc6">bitReverseFlagR</a></td></tr>
+<tr class="separator:a4c65cd40e0098ec2f5c0dc31488b9bc6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd444d05858c5f419980e94e8240d5c3"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3">twidCoefRModifier</a></td></tr>
+<tr class="separator:afd444d05858c5f419980e94e8240d5c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:affbf2de522ac029432d98e8373c0ec53"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#affbf2de522ac029432d98e8373c0ec53">pTwiddleAReal</a></td></tr>
+<tr class="separator:affbf2de522ac029432d98e8373c0ec53"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a937d815022adc557b435ba8c6cd58b0d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#a937d815022adc557b435ba8c6cd58b0d">pTwiddleBReal</a></td></tr>
+<tr class="separator:a937d815022adc557b435ba8c6cd58b0d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4329c15b056444746d37ff082a24d31a"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q15.html#a4329c15b056444746d37ff082a24d31a">pCfft</a></td></tr>
+<tr class="separator:a4329c15b056444746d37ff082a24d31a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a4c65cd40e0098ec2f5c0dc31488b9bc6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_q15::bitReverseFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aac5cf9e825917cbb14f439e56bb86ab3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_rfft_instance_q15::fftLenReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the real FFT. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8051ffe268c147e431e1bea7bb4c4258"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_q15::ifftFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4329c15b056444746d37ff082a24d31a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q15.html">arm_cfft_instance_q15</a>* arm_rfft_instance_q15::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="affbf2de522ac029432d98e8373c0ec53"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_rfft_instance_q15::pTwiddleAReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a937d815022adc557b435ba8c6cd58b0d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#ab5a8fb21a5b3b983d5f54f31614052ea">q15_t</a>* arm_rfft_instance_q15::pTwiddleBReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the imag twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd444d05858c5f419980e94e8240d5c3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_rfft_instance_q15::twidCoefRModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga053450cc600a55410ba5b5605e96245d">arm_rfft_init_q15()</a>, and <a class="el" href="group___real_f_f_t.html#ga00e615f5db21736ad5b27fb6146f3fc5">arm_rfft_q15()</a>.</p>
+
+</div>
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+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structarm__rfft__instance__q15.html">arm_rfft_instance_q15</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:33 for CMSIS-DSP by ARM Ltd. All rights reserved.
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+var structarm__rfft__instance__q15 =
+[
+    [ "bitReverseFlagR", "structarm__rfft__instance__q15.html#a4c65cd40e0098ec2f5c0dc31488b9bc6", null ],
+    [ "fftLenReal", "structarm__rfft__instance__q15.html#aac5cf9e825917cbb14f439e56bb86ab3", null ],
+    [ "ifftFlagR", "structarm__rfft__instance__q15.html#a8051ffe268c147e431e1bea7bb4c4258", null ],
+    [ "pCfft", "structarm__rfft__instance__q15.html#a4329c15b056444746d37ff082a24d31a", null ],
+    [ "pTwiddleAReal", "structarm__rfft__instance__q15.html#affbf2de522ac029432d98e8373c0ec53", null ],
+    [ "pTwiddleBReal", "structarm__rfft__instance__q15.html#a937d815022adc557b435ba8c6cd58b0d", null ],
+    [ "twidCoefRModifier", "structarm__rfft__instance__q15.html#afd444d05858c5f419980e94e8240d5c3", null ]
+];
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+   &#160;<span id="projectnumber">Version 1.4.7</span>
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+<div class="title">arm_rfft_instance_q31 Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Instance structure for the Q31 RFFT/RIFFT function.  
+</p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:af777b0cadd5abaf064323692c2e6693b"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#af777b0cadd5abaf064323692c2e6693b">fftLenReal</a></td></tr>
+<tr class="separator:af777b0cadd5abaf064323692c2e6693b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af5c2615e6cde15524df38fa57ea32d94"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#af5c2615e6cde15524df38fa57ea32d94">ifftFlagR</a></td></tr>
+<tr class="separator:af5c2615e6cde15524df38fa57ea32d94"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3cb90cdc928a88b0203917dcb3dc1b71"><td class="memItemLeft" align="right" valign="top">uint8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#a3cb90cdc928a88b0203917dcb3dc1b71">bitReverseFlagR</a></td></tr>
+<tr class="separator:a3cb90cdc928a88b0203917dcb3dc1b71"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6fc90252b579f7c29e01bd279334fc43"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#a6fc90252b579f7c29e01bd279334fc43">twidCoefRModifier</a></td></tr>
+<tr class="separator:a6fc90252b579f7c29e01bd279334fc43"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2a0c944e66bab92fcbe19d1c29153250"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#a2a0c944e66bab92fcbe19d1c29153250">pTwiddleAReal</a></td></tr>
+<tr class="separator:a2a0c944e66bab92fcbe19d1c29153250"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae5070be4c2e0327e618f5e1f4c5b9d80"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#ae5070be4c2e0327e618f5e1f4c5b9d80">pTwiddleBReal</a></td></tr>
+<tr class="separator:ae5070be4c2e0327e618f5e1f4c5b9d80"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8fe10d425b59e096c23aa4bb5caa1974"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structarm__rfft__instance__q31.html#a8fe10d425b59e096c23aa4bb5caa1974">pCfft</a></td></tr>
+<tr class="separator:a8fe10d425b59e096c23aa4bb5caa1974"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a3cb90cdc928a88b0203917dcb3dc1b71"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_q31::bitReverseFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af777b0cadd5abaf064323692c2e6693b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_rfft_instance_q31::fftLenReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>length of the real FFT. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af5c2615e6cde15524df38fa57ea32d94"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint8_t arm_rfft_instance_q31::ifftFlagR</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fe10d425b59e096c23aa4bb5caa1974"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="structarm__cfft__instance__q31.html">arm_cfft_instance_q31</a>* arm_rfft_instance_q31::pCfft</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the complex FFT instance. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a0c944e66bab92fcbe19d1c29153250"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_rfft_instance_q31::pTwiddleAReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the real twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae5070be4c2e0327e618f5e1f4c5b9d80"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="arm__math_8h.html#adc89a3547f5324b7b3b95adec3806bc0">q31_t</a>* arm_rfft_instance_q31::pTwiddleBReal</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>points to the imag twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6fc90252b579f7c29e01bd279334fc43"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t arm_rfft_instance_q31::twidCoefRModifier</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. </p>
+
+<p>Referenced by <a class="el" href="group___real_f_f_t.html#ga5abde938abbe72e95c5bab080eb33c45">arm_rfft_init_q31()</a>, and <a class="el" href="group___real_f_f_t.html#gabaeab5646aeea9844e6d42ca8c73fe3a">arm_rfft_q31()</a>.</p>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Revision History</title>
+<title>CMSIS: Revision History</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS
+   &#160;<span id="projectnumber">Version 4.5.0</span>
+   </div>
+   <div id="projectbrief">Cortex Microcontroller Software Interface Standard</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_c_m_revision_history.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Revision History </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The following table shows the overall high-level history of the various CMSIS releases. In addition, each CMSIS component has its own release history:</p>
+<ul>
+<li><a href="../../Core/html/core_revision_history.html"><b>CORE Revision History</b></a></li>
+<li><a href="../../DAP/html/rev_hist_dap.html"><b>DAP Revision History</b></a></li>
+<li><a href="../../Driver/html/driver_revision_history.html"><b>Driver Revision History</b></a></li>
+<li><a href="../../DSP/html/_change_log_pg.html"><b>DSP Revision History (Change Log)</b></a></li>
+<li><a href="../../Pack/html/pack_revision_history.html"><b>Pack Revision History</b></a></li>
+<li><a href="../../RTOS/html/rtos_revision_history.html"><b>RTOS API Revision History</b></a></li>
+<li><a href="../../RTX/html/rtx_revision_history.html"><b>RTX Revision History</b></a></li>
+<li><a href="../../SVD/html/svd_revision_history.html"><b>SVD Revision History</b></a></li>
+</ul>
+<table  class="cmtable" summary="Revision History">
+<tr>
+<th>Version </th><th>Description  </th></tr>
+<tr>
+<td>4.5.0 </td><td>Maintenance release that is fixing defects. See component's revision history for more details. See component's revision history for more details.<ul>
+<li>CMSIS-CORE 4.30.0</li>
+<li>CMSIS-DAP 1.1.0 (unchanged)</li>
+<li>CMSIS-Driver 2.04.0</li>
+<li>CMSIS-DSP 1.4.7</li>
+<li>CMSIS-PACK 1.4.1</li>
+<li>CMSIS-RTOS RTX 4.80.0</li>
+<li>CMSIS-SVD 1.3.1   </li>
+</ul>
+</td></tr>
+<tr>
+<td>4.4.0 </td><td>Feature release adding CMSIS-DAP (see extended End User Licence Agreement) and CMSIS-Driver for CAN. See component's revision history for more details.<ul>
+<li>CMSIS-CORE 4.20.0</li>
+<li>CMSIS-DAP 1.1.0</li>
+<li>CMSIS-Driver 2.03.0</li>
+<li>CMSIS-DSP 1.4.5 (unchanged)</li>
+<li>CMSIS-RTOS RTX 4.79.0</li>
+<li>CMSIS-PACK 1.4.0</li>
+<li>CMSIS-SVD 1.3.0   </li>
+</ul>
+</td></tr>
+<tr>
+<td>4.3.0 </td><td>Maintenance release adding SAI CMSIS-Driver and fixing defects. See component's revision history for more details.<ul>
+<li>CMSIS-CORE 4.10.0</li>
+<li>CMSIS-Driver 2.02.0</li>
+<li>CMSIS-DSP 1.4.5</li>
+<li>CMSIS-RTOS RTX 4.78.0</li>
+<li>CMSIS-PACK 1.3.3</li>
+<li>CMSIS-SVD (unchanged)   </li>
+</ul>
+</td></tr>
+<tr>
+<td>4.2 </td><td>Introducing processor support for Cortex-M7.   </td></tr>
+<tr>
+<td>4.1 </td><td>Enhancements in CMSIS-Pack and CMSIS-Driver.<br/>
+ Added: PackChk validation utility<br/>
+ Removed support for GNU: Sourcery G++ Lite Edition for ARM  </td></tr>
+<tr>
+<td>4.0 </td><td>First release in CMSIS-Pack format.<br/>
+ Added specifications for CMSIS-Pack, CMSIS-Driver  </td></tr>
+<tr>
+<td>3.30 </td><td>Maintenance release with enhancements in each component  </td></tr>
+<tr>
+<td>3.20 </td><td>Maintenance release with enhancements in each component  </td></tr>
+<tr>
+<td>3.01 </td><td>Added support for Cortex-M0+ processors  </td></tr>
+<tr>
+<td>3.00 </td><td>Added support for SC000 and SC300 processors<br/>
+ Added support for GNU GCC Compiler<br/>
+ Added CMSIS-RTOS API  </td></tr>
+<tr>
+<td>2.10 </td><td>Added CMSIS-DSP Library  </td></tr>
+<tr>
+<td>2.0 </td><td>Added support for Cortex-M4 processor  </td></tr>
+<tr>
+<td>1.30 </td><td>Reworked CMSIS startup concept  </td></tr>
+<tr>
+<td>1.01 </td><td>Added support for Cortex-M0 processor  </td></tr>
+<tr>
+<td>1.00 </td><td>Initial release of CMSIS-CORE for Cortex-M3 processor  </td></tr>
+</table>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/General/html/bc_s.png b/Documentation/General/html/bc_s.png
new file mode 100644
index 0000000..224b29a
--- /dev/null
+++ b/Documentation/General/html/bc_s.png
Binary files differ
diff --git a/Documentation/General/html/bdwn.png b/Documentation/General/html/bdwn.png
new file mode 100644
index 0000000..940a0b9
--- /dev/null
+++ b/Documentation/General/html/bdwn.png
Binary files differ
diff --git a/Documentation/General/html/closed.png b/Documentation/General/html/closed.png
new file mode 100644
index 0000000..98cc2c9
--- /dev/null
+++ b/Documentation/General/html/closed.png
Binary files differ
diff --git a/Documentation/General/html/cmsis.css b/Documentation/General/html/cmsis.css
new file mode 100644
index 0000000..293d0d0
--- /dev/null
+++ b/Documentation/General/html/cmsis.css
@@ -0,0 +1,1269 @@
+/* The standard CSS for doxygen */
+
+body, table, div, p, dl {
+	font-family: Lucida Grande, Verdana, Geneva, Arial, sans-serif;
+	font-size: 13px;
+	line-height: 1.3;
+}
+
+/* CMSIS styles */
+
+.style1 {
+		text-align: center;
+}
+.style2 {
+		color: #0000FF;
+		font-weight: normal;
+}
+.style3 {
+		text-align: left;
+}
+.style4 {
+		color: #008000;
+}
+.style5 {
+		color: #0000FF;
+}
+.style6 {
+		color: #000000;
+		font-style:italic;
+}
+.mand {
+		color: #0000FF;
+}
+.opt {
+		color: #008000;
+}
+.cond {
+		color: #990000;
+}
+
+.choice 
+{
+	background-color:#F7F9D0;
+}
+.seq 
+{
+	background-color:#C9DECB;
+}
+.group1
+{
+	background-color:#F8F1F1;
+}
+.group2
+{
+	background-color:#DCEDEA;
+}
+
+
+ul ul {
+		list-style-type: disc;
+}
+
+ul ul ul {
+		list-style-type: disc;
+}
+
+ul.hierarchy {
+		color: green;
+}
+
+em {
+		color: #000000;
+		font-style:italic;
+}
+
+
+
+/*  CMSIS Tables */
+table.cmtab1 {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+	text-align: justify;
+	width:70%;
+}
+
+th.cmtab1 {
+	background: #EBEFF6;
+	font-weight: bold;
+	height: 28px;
+}
+
+td.cmtab1 {
+	padding:1px;
+	text-align: left;
+}
+
+table.cmtable {
+	border-collapse:collapse;
+	text-align: justify;
+}
+
+table.cmtable td, table.cmtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.cmtable th {
+	background-color: #EBEFF6;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+	text-align:left;
+}
+
+td.MonoTxt {
+	font-family:"Arial monospaced for SAP";
+}
+
+td.XML-Token 
+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
+
+span.XML-Token 
+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
+
+span.h2 
+{
+	font-size: 120%;
+	font-weight: bold;
+}
+
+
+
+/* @group Heading Levels */
+
+h1 {
+	font-size: 150%;
+}
+
+.title {
+	font-size: 150%;
+	font-weight: bold;
+	margin: 10px 2px;
+}
+
+h2 {
+	font-size: 120%;
+}
+
+h3 {
+	font-size: 100%;
+}
+
+h1, h2, h3, h4, h5, h6 {
+	-webkit-transition: text-shadow 0.5s linear;
+	-moz-transition: text-shadow 0.5s linear;
+	-ms-transition: text-shadow 0.5s linear;
+	-o-transition: text-shadow 0.5s linear;
+	transition: text-shadow 0.5s linear;
+	margin-right: 15px;
+}
+
+h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow {
+	text-shadow: 0 0 15px cyan;
+}
+
+dt {
+	font-weight: bold;
+}
+
+div.multicol {
+	-moz-column-gap: 1em;
+	-webkit-column-gap: 1em;
+	-moz-column-count: 3;
+	-webkit-column-count: 3;
+}
+
+p.startli, p.startdd, p.starttd {
+	margin-top: 2px;
+}
+
+p.endli {
+	margin-bottom: 0px;
+}
+
+p.enddd {
+	margin-bottom: 4px;
+}
+
+p.endtd {
+	margin-bottom: 2px;
+}
+
+/* @end */
+
+caption {
+	font-weight: bold;
+}
+
+span.legend {
+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3A568E;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4464A5;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9AAED5;
+	color: #ffffff;
+	border: 1px double #849CCC;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C3CFE6;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+}
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C3CFE6;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C3CFE6;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EDF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9AAED5;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A2B4D8;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4769AD;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memItemLeft, .memItemRight, .memTemplParams {
+	border-top: 1px solid #C3CFE6;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4464A5;
+        white-space: nowrap;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4464A5;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A7B8DA;
+        border-left: 1px solid #A7B8DA;
+        border-right: 1px solid #A7B8DA;
+        padding: 6px 0px 6px 0px;
+        color: #233456;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A7B8DA;      
+        border-left: 1px solid #A7B8DA;      
+        border-right: 1px solid #A7B8DA; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #708CC4;
+        border-top:1px solid #5072B7;
+        border-left:1px solid #5072B7;
+        border-right:1px solid #C3CFE6;
+        border-bottom:1px solid #C3CFE6;
+	text-shadow: none;
+        color: white;
+        margin-right: 4px;
+        padding: 2px 3px;
+        border-radius: 3px;
+        font-size: 7pt;
+	white-space: nowrap;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3A568E;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #293C63;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2B4069;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #EBEFF6;
+	color: #000000;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A7B8DA;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A7B8DA;
+        border-bottom: 1px solid #A7B8DA;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A7B8DA;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        font-size: 90%;
+        color: #233456;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A7B8DA;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	height:30px;
+	line-height:30px;
+	color:#889FCE;
+	border:solid 1px #C1CDE5;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#344D7E;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6583BF;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#344D7E;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	margin-left: 5px;
+	font-size: 8pt;
+	padding-left: 5px;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C3CFE6;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 7px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
+dl.section dd {
+	margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+	text-align: center;
+	vertical-align: bottom;
+	border-collapse: separate;
+}
+ 
+#projectlogo img
+{ 
+	border: 0px none;
+}
+ 
+#projectname
+{
+	font: 300% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 2px 0px;
+}
+    
+#projectbrief
+{
+	font: 120% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#projectnumber
+{
+	font: 50% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#titlearea
+{
+	padding: 0px;
+	margin: 0px;
+	width: 100%;
+	border-bottom: 1px solid #5072B7;
+}
+
+.image
+{
+        text-align: center;
+}
+
+.dotgraph
+{
+        text-align: center;
+}
+
+.mscgraph
+{
+        text-align: center;
+}
+
+.caption
+{
+	font-weight: bold;
+}
+
+div.zoom
+{
+	border: 1px solid #8EA4D0;
+}
+
+dl.citelist {
+        margin-bottom:50px;
+}
+
+dl.citelist dt {
+        color:#314877;
+        float:left;
+        font-weight:bold;
+        margin-right:10px;
+        padding:5px;
+}
+
+dl.citelist dd {
+        margin:2px 0;
+        padding:5px 0;
+}
+
+div.toc {
+        padding: 14px 25px;
+        background-color: #F4F6FA;
+        border: 1px solid #D7DFEE;
+        border-radius: 7px 7px 7px 7px;
+        float: right;
+        height: auto;
+        margin: 0 20px 10px 10px;
+        width: 200px;
+}
+
+div.toc li {
+        background: url("bdwn.png") no-repeat scroll 0 5px transparent;
+        font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif;
+        margin-top: 5px;
+        padding-left: 10px;
+        padding-top: 2px;
+}
+
+div.toc h3 {
+        font: bold 12px/1.2 Arial,FreeSans,sans-serif;
+	color: #4464A5;
+        border-bottom: 0 none;
+        margin: 0;
+}
+
+div.toc ul {
+        list-style: none outside none;
+        border: medium none;
+        padding: 0px;
+}       
+
+div.toc li.level1 {
+        margin-left: 0px;
+}
+
+div.toc li.level2 {
+        margin-left: 15px;
+}
+
+div.toc li.level3 {
+        margin-left: 30px;
+}
+
+div.toc li.level4 {
+        margin-left: 45px;
+}
+
+.inherit_header {
+        font-weight: bold;
+        color: gray;
+        cursor: pointer;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+.inherit_header td {
+        padding: 6px 0px 2px 5px;
+}
+
+.inherit {
+        display: none;
+}
+
+tr.heading h2 {
+        margin-top: 12px;
+        margin-bottom: 4px;
+}
+
+@media print
+{
+  #top { display: none; }
+  #side-nav { display: none; }
+  #nav-path { display: none; }
+  body { overflow:visible; }
+  h1, h2, h3, h4, h5, h6 { page-break-after: avoid; }
+  .summary { display: none; }
+  .memitem { page-break-inside: avoid; }
+  #doc-content
+  {
+    margin-left:0 !important;
+    height:auto !important;
+    width:auto !important;
+    overflow:inherit;
+    display:inline;
+  }
+}
+
diff --git a/Documentation/General/html/doxygen.css b/Documentation/General/html/doxygen.css
new file mode 100644
index 0000000..2642e8f
--- /dev/null
+++ b/Documentation/General/html/doxygen.css
@@ -0,0 +1,1172 @@
+/* The standard CSS for doxygen */
+
+body, table, div, p, dl {
+	font: 400 14px/19px Roboto,sans-serif;
+}
+
+/* @group Heading Levels */
+
+h1.groupheader {
+	font-size: 150%;
+}
+
+.title {
+	font-size: 150%;
+	font-weight: bold;
+	margin: 10px 2px;
+}
+
+h2.groupheader {
+	border-bottom: 1px solid #879ECB;
+	color: #354C7B;
+	font-size: 150%;
+	font-weight: normal;
+	margin-top: 1.75em;
+	padding-top: 8px;
+	padding-bottom: 4px;
+	width: 100%;
+}
+
+h3.groupheader {
+	font-size: 100%;
+}
+
+h1, h2, h3, h4, h5, h6 {
+	-webkit-transition: text-shadow 0.5s linear;
+	-moz-transition: text-shadow 0.5s linear;
+	-ms-transition: text-shadow 0.5s linear;
+	-o-transition: text-shadow 0.5s linear;
+	transition: text-shadow 0.5s linear;
+	margin-right: 15px;
+}
+
+h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow {
+	text-shadow: 0 0 15px cyan;
+}
+
+dt {
+	font-weight: bold;
+}
+
+div.multicol {
+	-moz-column-gap: 1em;
+	-webkit-column-gap: 1em;
+	-moz-column-count: 3;
+	-webkit-column-count: 3;
+}
+
+p.startli, p.startdd, p.starttd {
+	margin-top: 2px;
+}
+
+p.endli {
+	margin-bottom: 0px;
+}
+
+p.enddd {
+	margin-bottom: 4px;
+}
+
+p.endtd {
+	margin-bottom: 2px;
+}
+
+/* @end */
+
+caption {
+	font-weight: bold;
+}
+
+span.legend {
+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3D578C;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4665A2;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9CAFD4;
+	color: #ffffff;
+	border: 1px double #869DCA;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C4CFE5;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	min-height: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+div.line.glow {
+	background-color: cyan;
+	box-shadow: 0 0 10px cyan;
+}
+
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C4CFE5;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C4CFE5;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EEF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9CAFD4;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4A6AAA;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td, .fieldtable tr {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow, .fieldtable tr.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memSeparator {
+        border-bottom: 1px solid #DEE4F0;
+        line-height: 1px;
+        margin: 0px;
+        padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4665A2;
+        white-space: nowrap;
+	font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4665A2;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+        display: table !important;
+        width: 100%;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A8B8D9;
+        border-left: 1px solid #A8B8D9;
+        border-right: 1px solid #A8B8D9;
+        padding: 6px 0px 6px 0px;
+        color: #253555;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A8B8D9;      
+        border-left: 1px solid #A8B8D9;      
+        border-right: 1px solid #A8B8D9; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+.paramname code {
+        line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #728DC1;
+        border-top:1px solid #5373B4;
+        border-left:1px solid #5373B4;
+        border-right:1px solid #C4CFE5;
+        border-bottom:1px solid #C4CFE5;
+	text-shadow: none;
+	color: white;
+	margin-right: 4px;
+	padding: 2px 3px;
+	border-radius: 3px;
+	font-size: 7pt;
+	white-space: nowrap;
+	vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.entry a img {
+        border: none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	padding-top: 3px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3D578C;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #2A3D61;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #374F7F;
+	color: #FFFFFF;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A8B8D9;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        font-size: 90%;
+        color: #253555;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A8B8D9;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	background-position: 0 -5px;
+	height:30px;
+	line-height:30px;
+	color:#8AA0CC;
+	border:solid 1px #C2CDE4;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#364D7C;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+	color: #283A5D;
+	font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+	text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+	text-decoration: none;        
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6884BD;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#364D7C;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	font-size: 8pt;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C4CFE5;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 10px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
+dl.section dd {
+	margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+	text-align: center;
+	vertical-align: bottom;
+	border-collapse: separate;
+}
+ 
+#projectlogo img
+{ 
+	border: 0px none;
+}
+ 
+#projectname
+{
+	font: 300% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 2px 0px;
+}
+    
+#projectbrief
+{
+	font: 120% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#projectnumber
+{
+	font: 50% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#titlearea
+{
+	padding: 0px;
+	margin: 0px;
+	width: 100%;
+	border-bottom: 1px solid #5373B4;
+}
+
+.image
+{
+        text-align: center;
+}
+
+.dotgraph
+{
+        text-align: center;
+}
+
+.mscgraph
+{
+        text-align: center;
+}
+
+.caption
+{
+	font-weight: bold;
+}
+
+div.zoom
+{
+	border: 1px solid #90A5CE;
+}
+
+dl.citelist {
+        margin-bottom:50px;
+}
+
+dl.citelist dt {
+        color:#334975;
+        float:left;
+        font-weight:bold;
+        margin-right:10px;
+        padding:5px;
+}
+
+dl.citelist dd {
+        margin:2px 0;
+        padding:5px 0;
+}
+
+div.toc {
+        padding: 14px 25px;
+        background-color: #F4F6FA;
+        border: 1px solid #D8DFEE;
+        border-radius: 7px 7px 7px 7px;
+        float: right;
+        height: auto;
+        margin: 0 20px 10px 10px;
+        width: 200px;
+}
+
+div.toc li {
+        background: url("bdwn.png") no-repeat scroll 0 5px transparent;
+        font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif;
+        margin-top: 5px;
+        padding-left: 10px;
+        padding-top: 2px;
+}
+
+div.toc h3 {
+        font: bold 12px/1.2 Arial,FreeSans,sans-serif;
+	color: #4665A2;
+        border-bottom: 0 none;
+        margin: 0;
+}
+
+div.toc ul {
+        list-style: none outside none;
+        border: medium none;
+        padding: 0px;
+}       
+
+div.toc li.level1 {
+        margin-left: 0px;
+}
+
+div.toc li.level2 {
+        margin-left: 15px;
+}
+
+div.toc li.level3 {
+        margin-left: 30px;
+}
+
+div.toc li.level4 {
+        margin-left: 45px;
+}
+
+.inherit_header {
+        font-weight: bold;
+        color: gray;
+        cursor: pointer;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+.inherit_header td {
+        padding: 6px 0px 2px 5px;
+}
+
+.inherit {
+        display: none;
+}
+
+tr.heading h2 {
+        margin-top: 12px;
+        margin-bottom: 4px;
+}
+
+@media print
+{
+  #top { display: none; }
+  #side-nav { display: none; }
+  #nav-path { display: none; }
+  body { overflow:visible; }
+  h1, h2, h3, h4, h5, h6 { page-break-after: avoid; }
+  .summary { display: none; }
+  .memitem { page-break-inside: avoid; }
+  #doc-content
+  {
+    margin-left:0 !important;
+    height:auto !important;
+    width:auto !important;
+    overflow:inherit;
+    display:inline;
+  }
+}
+
diff --git a/Documentation/General/html/doxygen.png b/Documentation/General/html/doxygen.png
new file mode 100644
index 0000000..3ff17d8
--- /dev/null
+++ b/Documentation/General/html/doxygen.png
Binary files differ
diff --git a/Documentation/General/html/dynsections.js b/Documentation/General/html/dynsections.js
new file mode 100644
index 0000000..116542f
--- /dev/null
+++ b/Documentation/General/html/dynsections.js
@@ -0,0 +1,78 @@
+function toggleVisibility(linkObj)
+{
+ var base = $(linkObj).attr('id');
+ var summary = $('#'+base+'-summary');
+ var content = $('#'+base+'-content');
+ var trigger = $('#'+base+'-trigger');
+ var src=$(trigger).attr('src');
+ if (content.is(':visible')===true) {
+   content.hide();
+   summary.show();
+   $(linkObj).addClass('closed').removeClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-8)+'closed.png');
+ } else {
+   content.show();
+   summary.hide();
+   $(linkObj).removeClass('closed').addClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-10)+'open.png');
+ } 
+ return false;
+}
+
+function updateStripes()
+{
+  $('table.directory tr').
+       removeClass('even').filter(':visible:even').addClass('even');
+}
+function toggleLevel(level)
+{
+  $('table.directory tr').each(function(){ 
+    var l = this.id.split('_').length-1;
+    var i = $('#img'+this.id.substring(3));
+    var a = $('#arr'+this.id.substring(3));
+    if (l<level+1) {
+      i.attr('src','ftv2folderopen.png');
+      a.attr('src','ftv2mnode.png');
+      $(this).show();
+    } else if (l==level+1) {
+      i.attr('src','ftv2folderclosed.png');
+      a.attr('src','ftv2pnode.png');
+      $(this).show();
+    } else {
+      $(this).hide();
+    }
+  });
+  updateStripes();
+}
+function toggleFolder(id) 
+{
+  var n = $('[id^=row_'+id+']');
+  var i = $('[id^=img_'+id+']');
+  var a = $('[id^=arr_'+id+']');
+  var c = n.slice(1);
+  if (c.filter(':first').is(':visible')===true) {
+    i.attr('src','ftv2folderclosed.png');
+    a.attr('src','ftv2pnode.png');
+    c.hide();
+  } else {
+    i.attr('src','ftv2folderopen.png');
+    a.attr('src','ftv2mnode.png');
+    c.show();
+  }
+  updateStripes();
+}
+
+function toggleInherit(id)
+{
+  var rows = $('tr.inherit.'+id);
+  var img = $('tr.inherit_header.'+id+' img');
+  var src = $(img).attr('src');
+  if (rows.filter(':first').is(':visible')===true) {
+    rows.css('display','none');
+    $(img).attr('src',src.substring(0,src.length-8)+'closed.png');
+  } else {
+    rows.css('display','table-row'); // using show() causes jump in firefox
+    $(img).attr('src',src.substring(0,src.length-10)+'open.png');
+  }
+}
+
diff --git a/Documentation/General/html/ftv2blank.png b/Documentation/General/html/ftv2blank.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/General/html/ftv2blank.png
Binary files differ
diff --git a/Documentation/General/html/ftv2cl.png b/Documentation/General/html/ftv2cl.png
new file mode 100644
index 0000000..132f657
--- /dev/null
+++ b/Documentation/General/html/ftv2cl.png
Binary files differ
diff --git a/Documentation/General/html/ftv2doc.png b/Documentation/General/html/ftv2doc.png
new file mode 100644
index 0000000..17edabf
--- /dev/null
+++ b/Documentation/General/html/ftv2doc.png
Binary files differ
diff --git a/Documentation/General/html/ftv2folderclosed.png b/Documentation/General/html/ftv2folderclosed.png
new file mode 100644
index 0000000..bb8ab35
--- /dev/null
+++ b/Documentation/General/html/ftv2folderclosed.png
Binary files differ
diff --git a/Documentation/General/html/ftv2folderopen.png b/Documentation/General/html/ftv2folderopen.png
new file mode 100644
index 0000000..d6c7f67
--- /dev/null
+++ b/Documentation/General/html/ftv2folderopen.png
Binary files differ
diff --git a/Documentation/General/html/ftv2lastnode.png b/Documentation/General/html/ftv2lastnode.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/General/html/ftv2lastnode.png
Binary files differ
diff --git a/Documentation/General/html/ftv2link.png b/Documentation/General/html/ftv2link.png
new file mode 100644
index 0000000..17edabf
--- /dev/null
+++ b/Documentation/General/html/ftv2link.png
Binary files differ
diff --git a/Documentation/General/html/ftv2mlastnode.png b/Documentation/General/html/ftv2mlastnode.png
new file mode 100644
index 0000000..0b63f6d
--- /dev/null
+++ b/Documentation/General/html/ftv2mlastnode.png
Binary files differ
diff --git a/Documentation/General/html/ftv2mnode.png b/Documentation/General/html/ftv2mnode.png
new file mode 100644
index 0000000..0b63f6d
--- /dev/null
+++ b/Documentation/General/html/ftv2mnode.png
Binary files differ
diff --git a/Documentation/General/html/ftv2mo.png b/Documentation/General/html/ftv2mo.png
new file mode 100644
index 0000000..4bfb80f
--- /dev/null
+++ b/Documentation/General/html/ftv2mo.png
Binary files differ
diff --git a/Documentation/General/html/ftv2node.png b/Documentation/General/html/ftv2node.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/General/html/ftv2node.png
Binary files differ
diff --git a/Documentation/General/html/ftv2ns.png b/Documentation/General/html/ftv2ns.png
new file mode 100644
index 0000000..72e3d71
--- /dev/null
+++ b/Documentation/General/html/ftv2ns.png
Binary files differ
diff --git a/Documentation/General/html/ftv2plastnode.png b/Documentation/General/html/ftv2plastnode.png
new file mode 100644
index 0000000..c6ee22f
--- /dev/null
+++ b/Documentation/General/html/ftv2plastnode.png
Binary files differ
diff --git a/Documentation/General/html/ftv2pnode.png b/Documentation/General/html/ftv2pnode.png
new file mode 100644
index 0000000..c6ee22f
--- /dev/null
+++ b/Documentation/General/html/ftv2pnode.png
Binary files differ
diff --git a/Documentation/General/html/ftv2splitbar.png b/Documentation/General/html/ftv2splitbar.png
new file mode 100644
index 0000000..fe895f2
--- /dev/null
+++ b/Documentation/General/html/ftv2splitbar.png
Binary files differ
diff --git a/Documentation/General/html/ftv2vertline.png b/Documentation/General/html/ftv2vertline.png
new file mode 100644
index 0000000..63c605b
--- /dev/null
+++ b/Documentation/General/html/ftv2vertline.png
Binary files differ
diff --git a/Documentation/General/html/index.html b/Documentation/General/html/index.html
new file mode 100644
index 0000000..079836e
--- /dev/null
+++ b/Documentation/General/html/index.html
@@ -0,0 +1,215 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Introduction</title>
+<title>CMSIS: Introduction</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS
+   &#160;<span id="projectnumber">Version 4.5.0</span>
+   </div>
+   <div id="projectbrief">Cortex Microcontroller Software Interface Standard</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li class="current"><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
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+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Introduction </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The <b>Cortex Microcontroller Software Interface Standard</b> (CMSIS) is a vendor-independent hardware abstraction layer for the Cortex-M processor series and defines generic tool interfaces. The CMSIS enables consistent device support and simple software interfaces to the processor and the peripherals, simplifying software re-use, reducing the learning curve for microcontroller developers, and reducing the time to market for new devices.</p>
+<p>The CMSIS is defined in close cooperation with various silicon and software vendors and provides a common approach to interface to peripherals, real-time operating systems, and middleware components. The CMSIS is intended to enable the combination of software components from multiple middleware vendors.</p>
+<p><a class="anchor" id="CM_Components"></a>The CMSIS components are:</p>
+<ul>
+<li><a href="../../Core/html/index.html"><b>CMSIS-CORE</b></a>: API for the Cortex-M processor core and peripherals. It provides at standardized interface for Cortex-M0, Cortex-M3, Cortex-M4, Cortex-M7, SC000, and SC300. Included are also SIMD intrinsic functions for Cortex-M4 and Cortex-M7 SIMD instructions.</li>
+</ul>
+<ul>
+<li><a href="../../Driver/html/index.html"><b>CMSIS-Driver</b></a>: defines generic peripheral driver interfaces for middleware making it reusable across supported devices. The API is RTOS independent and connects microcontroller peripherals with middleware that implements for example communication stacks, file systems, or graphic user interfaces.</li>
+</ul>
+<ul>
+<li><a href="../../DSP/html/index.html"><b>CMSIS-DSP</b></a>: DSP Library Collection with over 60 Functions for various data types: fix-point (fractional q7, q15, q31) and single precision floating-point (32-bit). The library is available for all Cortex-M cores. The Cortex-M4 and Cortex-M7 implementations are optimized for the SIMD instruction set.</li>
+</ul>
+<ul>
+<li><a href="../../RTOS/html/index.html"><b>CMSIS-RTOS API</b></a>: Common API for Real-Time operating systems. It provides a standardized programming interface that is portable to many RTOS and enables therefore software templates, middleware, libraries, and other components that can work across supported the RTOS systems.</li>
+</ul>
+<ul>
+<li><a href="../../Pack/html/index.html"><b>CMSIS-Pack</b></a>: describes with a XML based package description (PDSC) file the user and device relevant parts of a file collection (called software pack) that includes source, header, and library files, documentation, Flash programming algorithms, source code templates, and example projects. Development tools and web infrastructures use the PDSC file to extract device parameters, software components, and evaluation board configurations.</li>
+</ul>
+<ul>
+<li><a href="../../SVD/html/index.html"><b>CMSIS-SVD</b></a>: System View Description for Peripherals. Describes the peripherals of a device in an XML file and can be used to create peripheral awareness in debuggers or header files with peripheral register and interrupt definitions.</li>
+</ul>
+<ul>
+<li><a href="../../DAP/html/index.html"><b>CMSIS-DAP</b></a>: Debug Access Port. Standardized firmware for a Debug Unit that connects to the CoreSight Debug Access Port. CMSIS-DAP is distributed as separate package and well suited for integration on evaluation boards. This component is provided as separate download.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Refer to <a class="el" href="index.html#CM_Pack_Content">ARM::CMSIS Pack</a> for more information on the content of the Software Pack.</dd></dl>
+<div class="image">
+<img src="CMSISv4_small.png" alt="CMSISv4_small.png"/>
+<div class="caption">
+CMSIS Structure</div></div>
+ <h1><a class="anchor" id="Motivation"></a>
+Motivation</h1>
+<p>CMSIS has been created to help the industry in standardization. It enables consistent software layers and device support across a wide range of development tools and microcontrollers. CMSIS is not a huge software layer that introduces overhead and does not define standard peripherals. The silicon industry can therefore support the wide variations of Cortex-M processor-based devices with this common standard.</p>
+<p>In detail the benefits of the CMSIS are:</p>
+<ul>
+<li>Overall CMSIS reduces the learning curve, development costs, and time-to-market. Developers can write software quicker through a variety of easy-to-use, standardized software interfaces.</li>
+<li>Consistent software interfaces improve the software portability and re-usability. Generic software libraries and interfaces provide consistent software framework.</li>
+<li>Provides interfaces for debug connectivity, debug peripheral views, software delivery, and device support to reduce time-to-market for new microcontroller deployment.</li>
+<li>Provides a compiler independent layer that allows using different compilers. CMSIS is supported by all mainstream compilers (ARMCC, IAR, and GNU).</li>
+<li>Enhances program debugging with peripheral information for debuggers and ITM channels for printf-style output and RTOS kernel awareness.</li>
+<li>CMSIS is delivered in CMSIS-Pack format which enables fast software delivery, simplifies updates, and enables consistent integration into development tools.</li>
+</ul>
+<h1><a class="anchor" id="CodingRules"></a>
+Coding Rules</h1>
+<p>The CMSIS uses the following essential coding rules and conventions:</p>
+<ul>
+<li>Compliant with ANSI C and C++.</li>
+<li>Uses ANSI C standard data types defined in <b>&lt;stdint.h&gt;</b>.</li>
+<li>Variables and parameters have a complete data type.</li>
+<li>Expressions for <em>#define</em> constants are enclosed in parenthesis.</li>
+<li>Conforms to MISRA 2004. MISRA rule violations are documented.</li>
+</ul>
+<p>In addition, the CMSIS recommends the following conventions for identifiers:</p>
+<ul>
+<li><b>CAPITAL</b> names to identify Core Registers, Peripheral Registers, and CPU Instructions.</li>
+<li><b>CamelCase</b> names to identify function names and interrupt functions.</li>
+<li><b>Namespace_</b> prefixes avoid clashes with user identifiers and provide functional groups (i.e. for peripherals, RTOS, or DSP Library).</li>
+</ul>
+<p>The CMSIS is documented within the source files with: </p>
+<ul>
+<li>Comments that use the C or C++ style. </li>
+<li>Doxygen compliant <b>function comments</b> that provide:<ul>
+<li>brief function overview.</li>
+<li>detailed description of the function.</li>
+<li>detailed parameter explanation.</li>
+<li>detailed information about return values.</li>
+</ul>
+</li>
+</ul>
+<p>Doxygen comment example: </p>
+<pre class="fragment">/** 
+ * @brief  Enable Interrupt in NVIC Interrupt Controller
+ * @param  IRQn  interrupt number that specifies the interrupt
+ * @return none.
+ * Enable the specified interrupt in the NVIC Interrupt Controller.
+ * Other settings of the interrupt such as priority are not affected.
+ */
+</pre><h1><a class="anchor" id="License"></a>
+Licence</h1>
+<p>The CMSIS is provided free of charge by ARM and can be used for all Cortex-M based devices.</p>
+<p>The software portions that are deployed in the application program are under a BSD license which allows usage of CMSIS in any commercial or open source projects.</p>
+<p>View the <a href="CMSIS_END_USER_LICENCE_AGREEMENT.pdf">LICENCE AGREEMENT for CMSIS</a> in detail.</p>
+<h1><a class="anchor" id="CM_Pack_Content"></a>
+ARM::CMSIS Pack</h1>
+<p>The <b>ARM::CMSIS</b> Pack contains the following: </p>
+<table class="doxtable">
+<tr>
+<th align="left">File/Directory </th><th align="left">Content </th></tr>
+<tr>
+<td align="left"><b>ARM.CMSIS.pdsc</b> </td><td align="left">Package description file </td></tr>
+<tr>
+<td align="left"><b>CMSIS</b> </td><td align="left"><a class="el" href="index.html#CM_Components">CMSIS components</a> (see below) </td></tr>
+<tr>
+<td align="left"><b>CMSIS_RTX</b> </td><td align="left"><a href="http://www.keil.com/pack/doc/cmsis_rtx/index.html" class="el" target="_blank">Keil RTX</a> implementation of <a href="../../RTOS/html/index.html"><b>CMSIS-RTOS</b></a> </td></tr>
+<tr>
+<td align="left"><b>Device</b> </td><td align="left">ARM reference implementations of Cortex-M devices </td></tr>
+</table>
+<h2>CMSIS Directory</h2>
+<p>The directory <b>CMSIS</b> contains the "CMSIS End User License Agreement" as PDF and RTF, a README text file, the index.html file for this documentation, and the following sub-directories:</p>
+<table class="doxtable">
+<tr>
+<th align="left">Directory </th><th align="left">Content </th></tr>
+<tr>
+<td align="left"><b>Documentation</b> </td><td align="left">This documentation </td></tr>
+<tr>
+<td align="left"><b>DAP</b> </td><td align="left"><a href="../../DAP/html/index.html"><b>CMSIS-DAP</b></a> Debug Access Port source code and reference implementations </td></tr>
+<tr>
+<td align="left"><b>Driver</b> </td><td align="left">Header files for the <a href="../../Driver/html/index.html"><b>CMSIS-Driver</b></a> peripheral interface API </td></tr>
+<tr>
+<td align="left"><b>DSP_Lib</b> </td><td align="left"><a href="../../DSP/html/index.html"><b>CMSIS-DSP</b></a> software library source code </td></tr>
+<tr>
+<td align="left"><b>Include</b> </td><td align="left">Include files for <a href="../../Core/html/index.html"><b>CMSIS-CORE</b></a> and <a href="../../DSP/html/index.html"><b>CMSIS-DSP</b></a> </td></tr>
+<tr>
+<td align="left"><b>Lib</b> </td><td align="left"><a href="../../DSP/html/index.html"><b>CMSIS-DSP</b></a> generated libraries for ARMCC and GCC </td></tr>
+<tr>
+<td align="left"><b>Pack</b> </td><td align="left"><a href="../../Pack/html/_pack__example.html"><b>CMSIS-Pack</b></a> example </td></tr>
+<tr>
+<td align="left"><b>RTOS</b> </td><td align="left"><a href="../../RTOS/html/index.html"><b>CMSIS-RTOS</b></a> API header file </td></tr>
+<tr>
+<td align="left"><b>SVD</b> </td><td align="left"><a href="../../SVD/html/index.html"><b>CMSIS-SVD</b></a> example </td></tr>
+<tr>
+<td align="left"><b>UserCodeTemplates\ARM</b> </td><td align="left">ITM_Retarget.c, CMSIS <a href="../../Core/html/group___i_t_m___debug__gr.html"><b>retarget output</b></a> to ITM Channel 0 template file </td></tr>
+<tr>
+<td align="left"><b>Utilities</b> </td><td align="left">PACK.xsd (<a href="../../Pack/html/_pack__example.html"><b>CMSIS-Pack</b></a> schema file), PackChk.exe (checking tool for software packs), <br/>
+ CMSIS-SVD.xsd (<a href="../../SVD/html/index.html"><b>CMSIS-SVD</b></a> schema file), SVDConv.exe (conversion tool for SVD files) </td></tr>
+</table>
+<hr/>
+ </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+/*!
+ * jQuery UI 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI
+ */
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+/*!
+ * jQuery UI Widget 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Widget
+ */
+(function(a,b){if(a.cleanData){var c=a.cleanData;a.cleanData=function(b){for(var d=0,e;(e=b[d])!=null;d++)try{a(e).triggerHandler("remove")}catch(f){}c(b)}}else{var d=a.fn.remove;a.fn.remove=function(b,c){return this.each(function(){c||(!b||a.filter(b,[this]).length)&&a("*",this).add([this]).each(function(){try{a(this).triggerHandler("remove")}catch(b){}});return d.call(a(this),b,c)})}}a.widget=function(b,c,d){var e=b.split(".")[0],f;b=b.split(".")[1],f=e+"-"+b,d||(d=c,c=a.Widget),a.expr[":"][f]=function(c){return!!a.data(c,b)},a[e]=a[e]||{},a[e][b]=function(a,b){arguments.length&&this._createWidget(a,b)};var g=new c;g.options=a.extend(!0,{},g.options),a[e][b].prototype=a.extend(!0,g,{namespace:e,widgetName:b,widgetEventPrefix:a[e][b].prototype.widgetEventPrefix||b,widgetBaseClass:f},d),a.widget.bridge(b,a[e][b])},a.widget.bridge=function(c,d){a.fn[c]=function(e){var f=typeof e=="string",g=Array.prototype.slice.call(arguments,1),h=this;e=!f&&g.length?a.extend.apply(null,[!0,e].concat(g)):e;if(f&&e.charAt(0)==="_")return h;f?this.each(function(){var d=a.data(this,c),f=d&&a.isFunction(d[e])?d[e].apply(d,g):d;if(f!==d&&f!==b){h=f;return!1}}):this.each(function(){var b=a.data(this,c);b?b.option(e||{})._init():a.data(this,c,new d(e,this))});return h}},a.Widget=function(a,b){arguments.length&&this._createWidget(a,b)},a.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:!1},_createWidget:function(b,c){a.data(c,this.widgetName,this),this.element=a(c),this.options=a.extend(!0,{},this.options,this._getCreateOptions(),b);var d=this;this.element.bind("remove."+this.widgetName,function(){d.destroy()}),this._create(),this._trigger("create"),this._init()},_getCreateOptions:function(){return a.metadata&&a.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName),this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled "+"ui-state-disabled")},widget:function(){return this.element},option:function(c,d){var e=c;if(arguments.length===0)return a.extend({},this.options);if(typeof c=="string"){if(d===b)return this.options[c];e={},e[c]=d}this._setOptions(e);return this},_setOptions:function(b){var c=this;a.each(b,function(a,b){c._setOption(a,b)});return this},_setOption:function(a,b){this.options[a]=b,a==="disabled"&&this.widget()[b?"addClass":"removeClass"](this.widgetBaseClass+"-disabled"+" "+"ui-state-disabled").attr("aria-disabled",b);return this},enable:function(){return this._setOption("disabled",!1)},disable:function(){return this._setOption("disabled",!0)},_trigger:function(b,c,d){var e,f,g=this.options[b];d=d||{},c=a.Event(c),c.type=(b===this.widgetEventPrefix?b:this.widgetEventPrefix+b).toLowerCase(),c.target=this.element[0],f=c.originalEvent;if(f)for(e in f)e in c||(c[e]=f[e]);this.element.trigger(c,d);return!(a.isFunction(g)&&g.call(this.element[0],c,d)===!1||c.isDefaultPrevented())}}})(jQuery);
+/*!
+ * jQuery UI Mouse 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Mouse
+ *
+ * Depends:
+ *	jquery.ui.widget.js
+ */
+(function(a,b){var c=!1;a(document).mouseup(function(a){c=!1}),a.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var b=this;this.element.bind("mousedown."+this.widgetName,function(a){return b._mouseDown(a)}).bind("click."+this.widgetName,function(c){if(!0===a.data(c.target,b.widgetName+".preventClickEvent")){a.removeData(c.target,b.widgetName+".preventClickEvent"),c.stopImmediatePropagation();return!1}}),this.started=!1},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(b){if(!c){this._mouseStarted&&this._mouseUp(b),this._mouseDownEvent=b;var d=this,e=b.which==1,f=typeof this.options.cancel=="string"&&b.target.nodeName?a(b.target).closest(this.options.cancel).length:!1;if(!e||f||!this._mouseCapture(b))return!0;this.mouseDelayMet=!this.options.delay,this.mouseDelayMet||(this._mouseDelayTimer=setTimeout(function(){d.mouseDelayMet=!0},this.options.delay));if(this._mouseDistanceMet(b)&&this._mouseDelayMet(b)){this._mouseStarted=this._mouseStart(b)!==!1;if(!this._mouseStarted){b.preventDefault();return!0}}!0===a.data(b.target,this.widgetName+".preventClickEvent")&&a.removeData(b.target,this.widgetName+".preventClickEvent"),this._mouseMoveDelegate=function(a){return d._mouseMove(a)},this._mouseUpDelegate=function(a){return d._mouseUp(a)},a(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate),b.preventDefault(),c=!0;return!0}},_mouseMove:function(b){if(a.browser.msie&&!(document.documentMode>=9)&&!b.button)return this._mouseUp(b);if(this._mouseStarted){this._mouseDrag(b);return b.preventDefault()}this._mouseDistanceMet(b)&&this._mouseDelayMet(b)&&(this._mouseStarted=this._mouseStart(this._mouseDownEvent,b)!==!1,this._mouseStarted?this._mouseDrag(b):this._mouseUp(b));return!this._mouseStarted},_mouseUp:function(b){a(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate),this._mouseStarted&&(this._mouseStarted=!1,b.target==this._mouseDownEvent.target&&a.data(b.target,this.widgetName+".preventClickEvent",!0),this._mouseStop(b));return!1},_mouseDistanceMet:function(a){return Math.max(Math.abs(this._mouseDownEvent.pageX-a.pageX),Math.abs(this._mouseDownEvent.pageY-a.pageY))>=this.options.distance},_mouseDelayMet:function(a){return this.mouseDelayMet},_mouseStart:function(a){},_mouseDrag:function(a){},_mouseStop:function(a){},_mouseCapture:function(a){return!0}})})(jQuery);
+/*
+ * jQuery UI Resizable 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Resizables
+ *
+ * Depends:
+ *	jquery.ui.core.js
+ *	jquery.ui.mouse.js
+ *	jquery.ui.widget.js
+ */
+(function(a,b){a.widget("ui.resizable",a.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:!1,animate:!1,animateDuration:"slow",animateEasing:"swing",aspectRatio:!1,autoHide:!1,containment:!1,ghost:!1,grid:!1,handles:"e,s,se",helper:!1,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1e3},_create:function(){var b=this,c=this.options;this.element.addClass("ui-resizable"),a.extend(this,{_aspectRatio:!!c.aspectRatio,aspectRatio:c.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:c.helper||c.ghost||c.animate?c.helper||"ui-resizable-helper":null}),this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)&&(this.element.wrap(a('<div class="ui-wrapper" style="overflow: hidden;"></div>').css({position:this.element.css("position"),width:this.element.outerWidth(),height:this.element.outerHeight(),top:this.element.css("top"),left:this.element.css("left")})),this.element=this.element.parent().data("resizable",this.element.data("resizable")),this.elementIsWrapper=!0,this.element.css({marginLeft:this.originalElement.css("marginLeft"),marginTop:this.originalElement.css("marginTop"),marginRight:this.originalElement.css("marginRight"),marginBottom:this.originalElement.css("marginBottom")}),this.originalElement.css({marginLeft:0,marginTop:0,marginRight:0,marginBottom:0}),this.originalResizeStyle=this.originalElement.css("resize"),this.originalElement.css("resize","none"),this._proportionallyResizeElements.push(this.originalElement.css({position:"static",zoom:1,display:"block"})),this.originalElement.css({margin:this.originalElement.css("margin")}),this._proportionallyResize()),this.handles=c.handles||(a(".ui-resizable-handle",this.element).length?{n:".ui-resizable-n",e:".ui-resizable-e",s:".ui-resizable-s",w:".ui-resizable-w",se:".ui-resizable-se",sw:".ui-resizable-sw",ne:".ui-resizable-ne",nw:".ui-resizable-nw"}:"e,s,se");if(this.handles.constructor==String){this.handles=="all"&&(this.handles="n,e,s,w,se,sw,ne,nw");var d=this.handles.split(",");this.handles={};for(var e=0;e<d.length;e++){var f=a.trim(d[e]),g="ui-resizable-"+f,h=a('<div class="ui-resizable-handle '+g+'"></div>');/sw|se|ne|nw/.test(f)&&h.css({zIndex:++c.zIndex}),"se"==f&&h.addClass("ui-icon ui-icon-gripsmall-diagonal-se"),this.handles[f]=".ui-resizable-"+f,this.element.append(h)}}this._renderAxis=function(b){b=b||this.element;for(var c in this.handles){this.handles[c].constructor==String&&(this.handles[c]=a(this.handles[c],this.element).show());if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var d=a(this.handles[c],this.element),e=0;e=/sw|ne|nw|se|n|s/.test(c)?d.outerHeight():d.outerWidth();var f=["padding",/ne|nw|n/.test(c)?"Top":/se|sw|s/.test(c)?"Bottom":/^e$/.test(c)?"Right":"Left"].join("");b.css(f,e),this._proportionallyResize()}if(!a(this.handles[c]).length)continue}},this._renderAxis(this.element),this._handles=a(".ui-resizable-handle",this.element).disableSelection(),this._handles.mouseover(function(){if(!b.resizing){if(this.className)var a=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i);b.axis=a&&a[1]?a[1]:"se"}}),c.autoHide&&(this._handles.hide(),a(this.element).addClass("ui-resizable-autohide").hover(function(){c.disabled||(a(this).removeClass("ui-resizable-autohide"),b._handles.show())},function(){c.disabled||b.resizing||(a(this).addClass("ui-resizable-autohide"),b._handles.hide())})),this._mouseInit()},destroy:function(){this._mouseDestroy();var b=function(b){a(b).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){b(this.element);var c=this.element;c.after(this.originalElement.css({position:c.css("position"),width:c.outerWidth(),height:c.outerHeight(),top:c.css("top"),left:c.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle),b(this.originalElement);return this},_mouseCapture:function(b){var c=!1;for(var d in this.handles)a(this.handles[d])[0]==b.target&&(c=!0);return!this.options.disabled&&c},_mouseStart:function(b){var d=this.options,e=this.element.position(),f=this.element;this.resizing=!0,this.documentScroll={top:a(document).scrollTop(),left:a(document).scrollLeft()},(f.is(".ui-draggable")||/absolute/.test(f.css("position")))&&f.css({position:"absolute",top:e.top,left:e.left}),this._renderProxy();var g=c(this.helper.css("left")),h=c(this.helper.css("top"));d.containment&&(g+=a(d.containment).scrollLeft()||0,h+=a(d.containment).scrollTop()||0),this.offset=this.helper.offset(),this.position={left:g,top:h},this.size=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalSize=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalPosition={left:g,top:h},this.sizeDiff={width:f.outerWidth()-f.width(),height:f.outerHeight()-f.height()},this.originalMousePosition={left:b.pageX,top:b.pageY},this.aspectRatio=typeof d.aspectRatio=="number"?d.aspectRatio:this.originalSize.width/this.originalSize.height||1;var i=a(".ui-resizable-"+this.axis).css("cursor");a("body").css("cursor",i=="auto"?this.axis+"-resize":i),f.addClass("ui-resizable-resizing"),this._propagate("start",b);return!0},_mouseDrag:function(b){var c=this.helper,d=this.options,e={},f=this,g=this.originalMousePosition,h=this.axis,i=b.pageX-g.left||0,j=b.pageY-g.top||0,k=this._change[h];if(!k)return!1;var l=k.apply(this,[b,i,j]),m=a.browser.msie&&a.browser.version<7,n=this.sizeDiff;this._updateVirtualBoundaries(b.shiftKey);if(this._aspectRatio||b.shiftKey)l=this._updateRatio(l,b);l=this._respectSize(l,b),this._propagate("resize",b),c.css({top:this.position.top+"px",left:this.position.left+"px",width:this.size.width+"px",height:this.size.height+"px"}),!this._helper&&this._proportionallyResizeElements.length&&this._proportionallyResize(),this._updateCache(l),this._trigger("resize",b,this.ui());return!1},_mouseStop:function(b){this.resizing=!1;var c=this.options,d=this;if(this._helper){var e=this._proportionallyResizeElements,f=e.length&&/textarea/i.test(e[0].nodeName),g=f&&a.ui.hasScroll(e[0],"left")?0:d.sizeDiff.height,h=f?0:d.sizeDiff.width,i={width:d.helper.width()-h,height:d.helper.height()-g},j=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,k=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;c.animate||this.element.css(a.extend(i,{top:k,left:j})),d.helper.height(d.size.height),d.helper.width(d.size.width),this._helper&&!c.animate&&this._proportionallyResize()}a("body").css("cursor","auto"),this.element.removeClass("ui-resizable-resizing"),this._propagate("stop",b),this._helper&&this.helper.remove();return!1},_updateVirtualBoundaries:function(a){var b=this.options,c,e,f,g,h;h={minWidth:d(b.minWidth)?b.minWidth:0,maxWidth:d(b.maxWidth)?b.maxWidth:Infinity,minHeight:d(b.minHeight)?b.minHeight:0,maxHeight:d(b.maxHeight)?b.maxHeight:Infinity};if(this._aspectRatio||a)c=h.minHeight*this.aspectRatio,f=h.minWidth/this.aspectRatio,e=h.maxHeight*this.aspectRatio,g=h.maxWidth/this.aspectRatio,c>h.minWidth&&(h.minWidth=c),f>h.minHeight&&(h.minHeight=f),e<h.maxWidth&&(h.maxWidth=e),g<h.maxHeight&&(h.maxHeight=g);this._vBoundaries=h},_updateCache:function(a){var b=this.options;this.offset=this.helper.offset(),d(a.left)&&(this.position.left=a.left),d(a.top)&&(this.position.top=a.top),d(a.height)&&(this.size.height=a.height),d(a.width)&&(this.size.width=a.width)},_updateRatio:function(a,b){var c=this.options,e=this.position,f=this.size,g=this.axis;d(a.height)?a.width=a.height*this.aspectRatio:d(a.width)&&(a.height=a.width/this.aspectRatio),g=="sw"&&(a.left=e.left+(f.width-a.width),a.top=null),g=="nw"&&(a.top=e.top+(f.height-a.height),a.left=e.left+(f.width-a.width));return a},_respectSize:function(a,b){var c=this.helper,e=this._vBoundaries,f=this._aspectRatio||b.shiftKey,g=this.axis,h=d(a.width)&&e.maxWidth&&e.maxWidth<a.width,i=d(a.height)&&e.maxHeight&&e.maxHeight<a.height,j=d(a.width)&&e.minWidth&&e.minWidth>a.width,k=d(a.height)&&e.minHeight&&e.minHeight>a.height;j&&(a.width=e.minWidth),k&&(a.height=e.minHeight),h&&(a.width=e.maxWidth),i&&(a.height=e.maxHeight);var l=this.originalPosition.left+this.originalSize.width,m=this.position.top+this.size.height,n=/sw|nw|w/.test(g),o=/nw|ne|n/.test(g);j&&n&&(a.left=l-e.minWidth),h&&n&&(a.left=l-e.maxWidth),k&&o&&(a.top=m-e.minHeight),i&&o&&(a.top=m-e.maxHeight);var p=!a.width&&!a.height;p&&!a.left&&a.top?a.top=null:p&&!a.top&&a.left&&(a.left=null);return a},_proportionallyResize:function(){var b=this.options;if(!!this._proportionallyResizeElements.length){var c=this.helper||this.element;for(var d=0;d<this._proportionallyResizeElements.length;d++){var e=this._proportionallyResizeElements[d];if(!this.borderDif){var f=[e.css("borderTopWidth"),e.css("borderRightWidth"),e.css("borderBottomWidth"),e.css("borderLeftWidth")],g=[e.css("paddingTop"),e.css("paddingRight"),e.css("paddingBottom"),e.css("paddingLeft")];this.borderDif=a.map(f,function(a,b){var c=parseInt(a,10)||0,d=parseInt(g[b],10)||0;return c+d})}if(a.browser.msie&&(!!a(c).is(":hidden")||!!a(c).parents(":hidden").length))continue;e.css({height:c.height()-this.borderDif[0]-this.borderDif[2]||0,width:c.width()-this.borderDif[1]-this.borderDif[3]||0})}}},_renderProxy:function(){var b=this.element,c=this.options;this.elementOffset=b.offset();if(this._helper){this.helper=this.helper||a('<div style="overflow:hidden;"></div>');var d=a.browser.msie&&a.browser.version<7,e=d?1:0,f=d?2:-1;this.helper.addClass(this._helper).css({width:this.element.outerWidth()+f,height:this.element.outerHeight()+f,position:"absolute",left:this.elementOffset.left-e+"px",top:this.elementOffset.top-e+"px",zIndex:++c.zIndex}),this.helper.appendTo("body").disableSelection()}else this.helper=this.element},_change:{e:function(a,b,c){return{width:this.originalSize.width+b}},w:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{left:f.left+b,width:e.width-b}},n:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{top:f.top+c,height:e.height-c}},s:function(a,b,c){return{height:this.originalSize.height+c}},se:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},sw:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.w.apply(this,[b,c,d]))},ne:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},nw:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.w.apply(this,[b,c,d]))}},_propagate:function(b,c){a.ui.plugin.call(this,b,[c,this.ui()]),b!="resize"&&this._trigger(b,c,this.ui())},plugins:{},ui:function(){return{originalElement:this.originalElement,element:this.element,helper:this.helper,position:this.position,size:this.size,originalSize:this.originalSize,originalPosition:this.originalPosition}}}),a.extend(a.ui.resizable,{version:"1.8.18"}),a.ui.plugin.add("resizable","alsoResize",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=function(b){a(b).each(function(){var b=a(this);b.data("resizable-alsoresize",{width:parseInt(b.width(),10),height:parseInt(b.height(),10),left:parseInt(b.css("left"),10),top:parseInt(b.css("top"),10)})})};typeof e.alsoResize=="object"&&!e.alsoResize.parentNode?e.alsoResize.length?(e.alsoResize=e.alsoResize[0],f(e.alsoResize)):a.each(e.alsoResize,function(a){f(a)}):f(e.alsoResize)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.originalSize,g=d.originalPosition,h={height:d.size.height-f.height||0,width:d.size.width-f.width||0,top:d.position.top-g.top||0,left:d.position.left-g.left||0},i=function(b,d){a(b).each(function(){var b=a(this),e=a(this).data("resizable-alsoresize"),f={},g=d&&d.length?d:b.parents(c.originalElement[0]).length?["width","height"]:["width","height","top","left"];a.each(g,function(a,b){var c=(e[b]||0)+(h[b]||0);c&&c>=0&&(f[b]=c||null)}),b.css(f)})};typeof e.alsoResize=="object"&&!e.alsoResize.nodeType?a.each(e.alsoResize,function(a,b){i(a,b)}):i(e.alsoResize)},stop:function(b,c){a(this).removeData("resizable-alsoresize")}}),a.ui.plugin.add("resizable","animate",{stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d._proportionallyResizeElements,g=f.length&&/textarea/i.test(f[0].nodeName),h=g&&a.ui.hasScroll(f[0],"left")?0:d.sizeDiff.height,i=g?0:d.sizeDiff.width,j={width:d.size.width-i,height:d.size.height-h},k=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,l=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;d.element.animate(a.extend(j,l&&k?{top:l,left:k}:{}),{duration:e.animateDuration,easing:e.animateEasing,step:function(){var c={width:parseInt(d.element.css("width"),10),height:parseInt(d.element.css("height"),10),top:parseInt(d.element.css("top"),10),left:parseInt(d.element.css("left"),10)};f&&f.length&&a(f[0]).css({width:c.width,height:c.height}),d._updateCache(c),d._propagate("resize",b)}})}}),a.ui.plugin.add("resizable","containment",{start:function(b,d){var e=a(this).data("resizable"),f=e.options,g=e.element,h=f.containment,i=h instanceof a?h.get(0):/parent/.test(h)?g.parent().get(0):h;if(!!i){e.containerElement=a(i);if(/document/.test(h)||h==document)e.containerOffset={left:0,top:0},e.containerPosition={left:0,top:0},e.parentData={element:a(document),left:0,top:0,width:a(document).width(),height:a(document).height()||document.body.parentNode.scrollHeight};else{var j=a(i),k=[];a(["Top","Right","Left","Bottom"]).each(function(a,b){k[a]=c(j.css("padding"+b))}),e.containerOffset=j.offset(),e.containerPosition=j.position(),e.containerSize={height:j.innerHeight()-k[3],width:j.innerWidth()-k[1]};var l=e.containerOffset,m=e.containerSize.height,n=e.containerSize.width,o=a.ui.hasScroll(i,"left")?i.scrollWidth:n,p=a.ui.hasScroll(i)?i.scrollHeight:m;e.parentData={element:i,left:l.left,top:l.top,width:o,height:p}}}},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.containerSize,g=d.containerOffset,h=d.size,i=d.position,j=d._aspectRatio||b.shiftKey,k={top:0,left:0},l=d.containerElement;l[0]!=document&&/static/.test(l.css("position"))&&(k=g),i.left<(d._helper?g.left:0)&&(d.size.width=d.size.width+(d._helper?d.position.left-g.left:d.position.left-k.left),j&&(d.size.height=d.size.width/e.aspectRatio),d.position.left=e.helper?g.left:0),i.top<(d._helper?g.top:0)&&(d.size.height=d.size.height+(d._helper?d.position.top-g.top:d.position.top),j&&(d.size.width=d.size.height*e.aspectRatio),d.position.top=d._helper?g.top:0),d.offset.left=d.parentData.left+d.position.left,d.offset.top=d.parentData.top+d.position.top;var m=Math.abs((d._helper?d.offset.left-k.left:d.offset.left-k.left)+d.sizeDiff.width),n=Math.abs((d._helper?d.offset.top-k.top:d.offset.top-g.top)+d.sizeDiff.height),o=d.containerElement.get(0)==d.element.parent().get(0),p=/relative|absolute/.test(d.containerElement.css("position"));o&&p
+&&(m-=d.parentData.left),m+d.size.width>=d.parentData.width&&(d.size.width=d.parentData.width-m,j&&(d.size.height=d.size.width/d.aspectRatio)),n+d.size.height>=d.parentData.height&&(d.size.height=d.parentData.height-n,j&&(d.size.width=d.size.height*d.aspectRatio))},stop:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.position,g=d.containerOffset,h=d.containerPosition,i=d.containerElement,j=a(d.helper),k=j.offset(),l=j.outerWidth()-d.sizeDiff.width,m=j.outerHeight()-d.sizeDiff.height;d._helper&&!e.animate&&/relative/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m}),d._helper&&!e.animate&&/static/.test(i.css("position"))&&a(this).css({left:k.left-h.left-g.left,width:l,height:m})}}),a.ui.plugin.add("resizable","ghost",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size;d.ghost=d.originalElement.clone(),d.ghost.css({opacity:.25,display:"block",position:"relative",height:f.height,width:f.width,margin:0,left:0,top:0}).addClass("ui-resizable-ghost").addClass(typeof e.ghost=="string"?e.ghost:""),d.ghost.appendTo(d.helper)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.ghost.css({position:"relative",height:d.size.height,width:d.size.width})},stop:function(b,c){var d=a(this).data("resizable"),e=d.options;d.ghost&&d.helper&&d.helper.get(0).removeChild(d.ghost.get(0))}}),a.ui.plugin.add("resizable","grid",{resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.size,g=d.originalSize,h=d.originalPosition,i=d.axis,j=e._aspectRatio||b.shiftKey;e.grid=typeof e.grid=="number"?[e.grid,e.grid]:e.grid;var k=Math.round((f.width-g.width)/(e.grid[0]||1))*(e.grid[0]||1),l=Math.round((f.height-g.height)/(e.grid[1]||1))*(e.grid[1]||1);/^(se|s|e)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l):/^(ne)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l):/^(sw)$/.test(i)?(d.size.width=g.width+k,d.size.height=g.height+l,d.position.left=h.left-k):(d.size.width=g.width+k,d.size.height=g.height+l,d.position.top=h.top-l,d.position.left=h.left-k)}});var c=function(a){return parseInt(a,10)||0},d=function(a){return!isNaN(parseInt(a,10))}})(jQuery);
+/*
+ * jQuery hashchange event - v1.3 - 7/21/2010
+ * http://benalman.com/projects/jquery-hashchange-plugin/
+ * 
+ * Copyright (c) 2010 "Cowboy" Ben Alman
+ * Dual licensed under the MIT and GPL licenses.
+ * http://benalman.com/about/license/
+ */
+(function($,e,b){var c="hashchange",h=document,f,g=$.event.special,i=h.documentMode,d="on"+c in e&&(i===b||i>7);function a(j){j=j||location.href;return"#"+j.replace(/^[^#]*#?(.*)$/,"$1")}$.fn[c]=function(j){return j?this.bind(c,j):this.trigger(c)};$.fn[c].delay=50;g[c]=$.extend(g[c],{setup:function(){if(d){return false}$(f.start)},teardown:function(){if(d){return false}$(f.stop)}});f=(function(){var j={},p,m=a(),k=function(q){return q},l=k,o=k;j.start=function(){p||n()};j.stop=function(){p&&clearTimeout(p);p=b};function n(){var r=a(),q=o(m);if(r!==m){l(m=r,q);$(e).trigger(c)}else{if(q!==m){location.href=location.href.replace(/#.*/,"")+q}}p=setTimeout(n,$.fn[c].delay)}$.browser.msie&&!d&&(function(){var q,r;j.start=function(){if(!q){r=$.fn[c].src;r=r&&r+a();q=$('<iframe tabindex="-1" title="empty"/>').hide().one("load",function(){r||l(a());n()}).attr("src",r||"javascript:0").insertAfter("body")[0].contentWindow;h.onpropertychange=function(){try{if(event.propertyName==="title"){q.document.title=h.title}}catch(s){}}}};j.stop=k;o=function(){return a(q.location.href)};l=function(v,s){var u=q.document,t=$.fn[c].domain;if(v!==s){u.title=h.title;u.open();t&&u.write('<script>document.domain="'+t+'"<\/script>');u.close();q.location.hash=v}}})();return j})()})(jQuery,this);
+/**
+ * jQuery.ScrollTo - Easy element scrolling using jQuery.
+ * Copyright (c) 2007-2009 Ariel Flesler - aflesler(at)gmail(dot)com | http://flesler.blogspot.com
+ * Dual licensed under MIT and GPL.
+ * Date: 5/25/2009
+ * @author Ariel Flesler
+ * @version 1.4.2
+ *
+ * http://flesler.blogspot.com/2007/10/jqueryscrollto.html
+ */
+;(function(d){var k=d.scrollTo=function(a,i,e){d(window).scrollTo(a,i,e)};k.defaults={axis:'xy',duration:parseFloat(d.fn.jquery)>=1.3?0:1};k.window=function(a){return d(window)._scrollable()};d.fn._scrollable=function(){return this.map(function(){var a=this,i=!a.nodeName||d.inArray(a.nodeName.toLowerCase(),['iframe','#document','html','body'])!=-1;if(!i)return a;var e=(a.contentWindow||a).document||a.ownerDocument||a;return d.browser.safari||e.compatMode=='BackCompat'?e.body:e.documentElement})};d.fn.scrollTo=function(n,j,b){if(typeof j=='object'){b=j;j=0}if(typeof b=='function')b={onAfter:b};if(n=='max')n=9e9;b=d.extend({},k.defaults,b);j=j||b.speed||b.duration;b.queue=b.queue&&b.axis.length>1;if(b.queue)j/=2;b.offset=p(b.offset);b.over=p(b.over);return this._scrollable().each(function(){var q=this,r=d(q),f=n,s,g={},u=r.is('html,body');switch(typeof f){case'number':case'string':if(/^([+-]=)?\d+(\.\d+)?(px|%)?$/.test(f)){f=p(f);break}f=d(f,this);case'object':if(f.is||f.style)s=(f=d(f)).offset()}d.each(b.axis.split(''),function(a,i){var e=i=='x'?'Left':'Top',h=e.toLowerCase(),c='scroll'+e,l=q[c],m=k.max(q,i);if(s){g[c]=s[h]+(u?0:l-r.offset()[h]);if(b.margin){g[c]-=parseInt(f.css('margin'+e))||0;g[c]-=parseInt(f.css('border'+e+'Width'))||0}g[c]+=b.offset[h]||0;if(b.over[h])g[c]+=f[i=='x'?'width':'height']()*b.over[h]}else{var o=f[h];g[c]=o.slice&&o.slice(-1)=='%'?parseFloat(o)/100*m:o}if(/^\d+$/.test(g[c]))g[c]=g[c]<=0?0:Math.min(g[c],m);if(!a&&b.queue){if(l!=g[c])t(b.onAfterFirst);delete g[c]}});t(b.onAfter);function t(a){r.animate(g,j,b.easing,a&&function(){a.call(this,n,b)})}}).end()};k.max=function(a,i){var e=i=='x'?'Width':'Height',h='scroll'+e;if(!d(a).is('html,body'))return a[h]-d(a)[e.toLowerCase()]();var c='client'+e,l=a.ownerDocument.documentElement,m=a.ownerDocument.body;return Math.max(l[h],m[h])-Math.min(l[c],m[c])};function p(a){return typeof a=='object'?a:{top:a,left:a}}})(jQuery);
diff --git a/Documentation/General/html/nav_f.png b/Documentation/General/html/nav_f.png
new file mode 100644
index 0000000..72a58a5
--- /dev/null
+++ b/Documentation/General/html/nav_f.png
Binary files differ
diff --git a/Documentation/General/html/nav_g.png b/Documentation/General/html/nav_g.png
new file mode 100644
index 0000000..2093a23
--- /dev/null
+++ b/Documentation/General/html/nav_g.png
Binary files differ
diff --git a/Documentation/General/html/nav_h.png b/Documentation/General/html/nav_h.png
new file mode 100644
index 0000000..33389b1
--- /dev/null
+++ b/Documentation/General/html/nav_h.png
Binary files differ
diff --git a/Documentation/General/html/navtree.css b/Documentation/General/html/navtree.css
new file mode 100644
index 0000000..8001f82
--- /dev/null
+++ b/Documentation/General/html/navtree.css
@@ -0,0 +1,143 @@
+#nav-tree .children_ul {
+  margin:0;
+  padding:4px;
+}
+
+#nav-tree ul {
+  list-style:none outside none;
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree li {
+  white-space:nowrap;
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree .plus {
+  margin:0px;
+}
+
+#nav-tree .selected {
+  background-image: url('tab_a.png');
+  background-repeat:repeat-x;
+  color: #fff;
+  text-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0);
+}
+
+#nav-tree img {
+  margin:0px;
+  padding:0px;
+  border:0px;
+  vertical-align: middle;
+}
+
+#nav-tree a {
+  text-decoration:none;
+  padding:0px;
+  margin:0px;
+  outline:none;
+}
+
+#nav-tree .label {
+  margin:0px;
+  padding:0px;
+  font: 12px 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+}
+
+#nav-tree .label a {
+  padding:2px;
+}
+
+#nav-tree .selected a {
+  text-decoration:none;
+  color:#fff;
+}
+
+#nav-tree .children_ul {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree .item {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree {
+  padding: 0px 0px;
+  background-color: #FAFAFF; 
+  font-size:14px;
+  overflow:auto;
+}
+
+#doc-content {
+  overflow:auto;
+  display:block;
+  padding:0px;
+  margin:0px;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#side-nav {
+  padding:0 6px 0 0;
+  margin: 0px;
+  display:block;
+  position: absolute;
+  left: 0px;
+  width: 300px;
+}
+
+.ui-resizable .ui-resizable-handle {
+  display:block;
+}
+
+.ui-resizable-e {
+  background:url("ftv2splitbar.png") repeat scroll right center transparent;
+  cursor:e-resize;
+  height:100%;
+  right:0;
+  top:0;
+  width:6px;
+}
+
+.ui-resizable-handle {
+  display:none;
+  font-size:0.1px;
+  position:absolute;
+  z-index:1;
+}
+
+#nav-tree-contents {
+  margin: 6px 0px 0px 0px;
+}
+
+#nav-tree {
+  background-image:url('nav_h.png');
+  background-repeat:repeat-x;
+  background-color: #F9FAFC;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#nav-sync {
+  position:absolute;
+  top:5px;
+  right:24px;
+  z-index:0;
+}
+
+#nav-sync img {
+  opacity:0.3;
+}
+
+#nav-sync img:hover {
+  opacity:0.9;
+}
+
+@media print
+{
+  #nav-tree { display: none; }
+  div.ui-resizable-handle { display: none; position: relative; }
+}
+
diff --git a/Documentation/General/html/navtree.js b/Documentation/General/html/navtree.js
new file mode 100644
index 0000000..442ac1e
--- /dev/null
+++ b/Documentation/General/html/navtree.js
@@ -0,0 +1,511 @@
+var NAVTREE =
+[
+  [ "CMSIS", "index.html", [
+    [ "Introduction", "index.html", null ],
+    [ "Revision History", "_c_m_revision_history.html", null ]
+  ] ]
+];
+
+var NAVTREEINDEX =
+[
+"_c_m_revision_history.html"
+];
+
+var SYNCONMSG = 'click to disable panel synchronisation';
+var SYNCOFFMSG = 'click to enable panel synchronisation';
+var navTreeSubIndices = new Array();
+
+function getData(varName)
+{
+  var i = varName.lastIndexOf('/');
+  var n = i>=0 ? varName.substring(i+1) : varName;
+  return eval(n.replace(/\-/g,'_'));
+}
+
+function stripPath(uri)
+{
+  return uri.substring(uri.lastIndexOf('/')+1);
+}
+
+function stripPath2(uri)
+{
+  var i = uri.lastIndexOf('/');
+  var s = uri.substring(i+1);
+  var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/);
+  return m ? uri.substring(i-6) : s;
+}
+
+function localStorageSupported()
+{
+  try {
+    return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem;
+  }
+  catch(e) {
+    return false;
+  }
+}
+
+
+function storeLink(link)
+{
+  if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) {
+      window.localStorage.setItem('navpath',link);
+  }
+}
+
+function deleteLink()
+{
+  if (localStorageSupported()) {
+    window.localStorage.setItem('navpath','');
+  } 
+}
+
+function cachedLink()
+{
+  if (localStorageSupported()) {
+    return window.localStorage.getItem('navpath');
+  } else {
+    return '';
+  }
+}
+
+function getScript(scriptName,func,show)
+{
+  var head = document.getElementsByTagName("head")[0]; 
+  var script = document.createElement('script');
+  script.id = scriptName;
+  script.type = 'text/javascript';
+  script.onload = func; 
+  script.src = scriptName+'.js'; 
+  if ($.browser.msie && $.browser.version<=8) { 
+    // script.onload does work with older versions of IE
+    script.onreadystatechange = function() {
+      if (script.readyState=='complete' || script.readyState=='loaded') { 
+        func(); if (show) showRoot(); 
+      }
+    }
+  }
+  head.appendChild(script); 
+}
+
+function createIndent(o,domNode,node,level)
+{
+  if (node.parentNode && node.parentNode.parentNode) {
+    createIndent(o,domNode,node.parentNode,level+1);
+  }
+  var imgNode = document.createElement("img");
+  imgNode.width = 16;
+  imgNode.height = 22;
+  if (level==0 && node.childrenData) {
+    node.plus_img = imgNode;
+    node.expandToggle = document.createElement("a");
+    node.expandToggle.href = "javascript:void(0)";
+    node.expandToggle.onclick = function() {
+      if (node.expanded) {
+        $(node.getChildrenUL()).slideUp("fast");
+        if (node.isLast) {
+          node.plus_img.src = node.relpath+"ftv2plastnode.png";
+        } else {
+          node.plus_img.src = node.relpath+"ftv2pnode.png";
+        }
+        node.expanded = false;
+      } else {
+        expandNode(o, node, false, false);
+      }
+    }
+    node.expandToggle.appendChild(imgNode);
+    domNode.appendChild(node.expandToggle);
+  } else {
+    domNode.appendChild(imgNode);
+  }
+  if (level==0) {
+    if (node.isLast) {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2plastnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2lastnode.png";
+        domNode.appendChild(imgNode);
+      }
+    } else {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2pnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2node.png";
+        domNode.appendChild(imgNode);
+      }
+    }
+  } else {
+    if (node.isLast) {
+      imgNode.src = node.relpath+"ftv2blank.png";
+    } else {
+      imgNode.src = node.relpath+"ftv2vertline.png";
+    }
+  }
+  imgNode.border = "0";
+}
+
+function newNode(o, po, text, link, childrenData, lastNode)
+{
+  var node = new Object();
+  node.children = Array();
+  node.childrenData = childrenData;
+  node.depth = po.depth + 1;
+  node.relpath = po.relpath;
+  node.isLast = lastNode;
+
+  node.li = document.createElement("li");
+  po.getChildrenUL().appendChild(node.li);
+  node.parentNode = po;
+
+  node.itemDiv = document.createElement("div");
+  node.itemDiv.className = "item";
+
+  node.labelSpan = document.createElement("span");
+  node.labelSpan.className = "label";
+
+  createIndent(o,node.itemDiv,node,0);
+  node.itemDiv.appendChild(node.labelSpan);
+  node.li.appendChild(node.itemDiv);
+
+  var a = document.createElement("a");
+  node.labelSpan.appendChild(a);
+  node.label = document.createTextNode(text);
+  node.expanded = false;
+  a.appendChild(node.label);
+  if (link) {
+    var url;
+    if (link.substring(0,1)=='^') {
+      url = link.substring(1);
+      link = url;
+    } else {
+      url = node.relpath+link;
+    }
+    a.className = stripPath(link.replace('#',':'));
+    if (link.indexOf('#')!=-1) {
+      var aname = '#'+link.split('#')[1];
+      var srcPage = stripPath($(location).attr('pathname'));
+      var targetPage = stripPath(link.split('#')[0]);
+      a.href = srcPage!=targetPage ? url : '#';
+      a.onclick = function(){
+        storeLink(link);
+        if (!$(a).parent().parent().hasClass('selected'))
+        {
+          $('.item').removeClass('selected');
+          $('.item').removeAttr('id');
+          $(a).parent().parent().addClass('selected');
+          $(a).parent().parent().attr('id','selected');
+        }
+        var pos, anchor = $(aname), docContent = $('#doc-content');
+        if (anchor.parent().attr('class')=='memItemLeft') {
+          pos = anchor.parent().position().top;
+        } else if (anchor.position()) {
+          pos = anchor.position().top;
+        }
+        if (pos) {
+          var dist = Math.abs(Math.min(
+                     pos-docContent.offset().top,
+                     docContent[0].scrollHeight-
+                     docContent.height()-docContent.scrollTop()));
+          docContent.animate({
+            scrollTop: pos + docContent.scrollTop() - docContent.offset().top
+          },Math.max(50,Math.min(500,dist)),function(){
+            window.location.replace(aname);
+          });
+        }
+      };
+    } else {
+      a.href = url;
+      a.onclick = function() { storeLink(link); }
+    }
+  } else {
+    if (childrenData != null) 
+    {
+      a.className = "nolink";
+      a.href = "javascript:void(0)";
+      a.onclick = node.expandToggle.onclick;
+    }
+  }
+
+  node.childrenUL = null;
+  node.getChildrenUL = function() {
+    if (!node.childrenUL) {
+      node.childrenUL = document.createElement("ul");
+      node.childrenUL.className = "children_ul";
+      node.childrenUL.style.display = "none";
+      node.li.appendChild(node.childrenUL);
+    }
+    return node.childrenUL;
+  };
+
+  return node;
+}
+
+function showRoot()
+{
+  var headerHeight = $("#top").height();
+  var footerHeight = $("#nav-path").height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  (function (){ // retry until we can scroll to the selected item
+    try {
+      var navtree=$('#nav-tree');
+      navtree.scrollTo('#selected',0,{offset:-windowHeight/2});
+    } catch (err) {
+      setTimeout(arguments.callee, 0);
+    }
+  })();
+}
+
+function expandNode(o, node, imm, showRoot)
+{
+  if (node.childrenData && !node.expanded) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        expandNode(o, node, imm, showRoot);
+      }, showRoot);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      } if (imm || ($.browser.msie && $.browser.version>8)) { 
+        // somehow slideDown jumps to the start of tree for IE9 :-(
+        $(node.getChildrenUL()).show();
+      } else {
+        $(node.getChildrenUL()).slideDown("fast");
+      }
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+    }
+  }
+}
+
+function glowEffect(n,duration)
+{
+  n.addClass('glow').delay(duration).queue(function(next){
+    $(this).removeClass('glow');next();
+  });
+}
+
+function highlightAnchor()
+{
+  var anchor = $($(location).attr('hash'));
+  if (anchor.parent().attr('class')=='memItemLeft'){
+    var rows = $('.memberdecls tr[class$="'+
+               window.location.hash.substring(1)+'"]');
+    glowEffect(rows.children(),300); // member without details
+  } else if (anchor.parents().slice(2).prop('tagName')=='TR') {
+    glowEffect(anchor.parents('div.memitem'),1000); // enum value
+  } else if (anchor.parent().attr('class')=='fieldtype'){
+    glowEffect(anchor.parent().parent(),1000); // struct field
+  } else if (anchor.parent().is(":header")) {
+    glowEffect(anchor.parent(),1000); // section header
+  } else {
+    glowEffect(anchor.next(),1000); // normal member
+  }
+}
+
+function selectAndHighlight(hash,n)
+{
+  var a;
+  if (hash) {
+    var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
+    a=$('.item a[class$="'+link+'"]');
+  }
+  if (a && a.length) {
+    a.parent().parent().addClass('selected');
+    a.parent().parent().attr('id','selected');
+    highlightAnchor();
+  } else if (n) {
+    $(n.itemDiv).addClass('selected');
+    $(n.itemDiv).attr('id','selected');
+  }
+  showRoot();
+}
+
+function showNode(o, node, index, hash)
+{
+  if (node && node.childrenData) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        showNode(o,node,index,hash);
+      },true);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      }
+      $(node.getChildrenUL()).show();
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+      var n = node.children[o.breadcrumbs[index]];
+      if (index+1<o.breadcrumbs.length) {
+        showNode(o,n,index+1,hash);
+      } else {
+        if (typeof(n.childrenData)==='string') {
+          var varName = n.childrenData;
+          getScript(n.relpath+varName,function(){
+            n.childrenData = getData(varName);
+            node.expanded=false;
+            showNode(o,node,index,hash); // retry with child node expanded
+          },true);
+        } else {
+          var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
+          if (rootBase=="index" || rootBase=="pages") {
+            expandNode(o, n, true, true);
+          }
+          selectAndHighlight(hash,n);
+        }
+      }
+    }
+  } else {
+    selectAndHighlight(hash);
+  }
+}
+
+function getNode(o, po)
+{
+  po.childrenVisited = true;
+  var l = po.childrenData.length-1;
+  for (var i in po.childrenData) {
+    var nodeData = po.childrenData[i];
+    po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
+      i==l);
+  }
+}
+
+function gotoNode(o,subIndex,root,hash,relpath)
+{
+  var nti = navTreeSubIndices[subIndex][root+hash];
+  o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
+  if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
+    navTo(o,NAVTREE[0][1],"",relpath);
+    $('.item').removeClass('selected');
+    $('.item').removeAttr('id');
+  }
+  if (o.breadcrumbs) {
+    o.breadcrumbs.unshift(0); // add 0 for root node
+    showNode(o, o.node, 0, hash);
+  }
+}
+
+function navTo(o,root,hash,relpath)
+{
+  var link = cachedLink();
+  if (link) {
+    var parts = link.split('#');
+    root = parts[0];
+    if (parts.length>1) hash = '#'+parts[1];
+    else hash='';
+  }
+  if (root==NAVTREE[0][1]) {
+    $('#nav-sync').css('top','30px');
+  } else {
+    $('#nav-sync').css('top','5px');
+  }
+  if (hash.match(/^#l\d+$/)) {
+    var anchor=$('a[name='+hash.substring(1)+']');
+    glowEffect(anchor.parent(),1000); // line number
+    hash=''; // strip line number anchors
+    //root=root.replace(/_source\./,'.'); // source link to doc link
+  }
+  var url=root+hash;
+  var i=-1;
+  while (NAVTREEINDEX[i+1]<=url) i++;
+  if (navTreeSubIndices[i]) {
+    gotoNode(o,i,root,hash,relpath)
+  } else {
+    getScript(relpath+'navtreeindex'+i,function(){
+      navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
+      if (navTreeSubIndices[i]) {
+        gotoNode(o,i,root,hash,relpath);
+      }
+    },true);
+  }
+}
+
+function showSyncOff(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
+}
+
+function showSyncOn(n,relpath)
+{
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+}
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+function toggleSyncButton(relpath)
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+    navSync.addClass('sync');
+    showSyncOn(navSync,relpath);
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+}
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+  var o = new Object();
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+  o.node.li = document.getElementById("nav-tree-contents");
+  o.node.childrenData = NAVTREE;
+  o.node.children = new Array();
+  o.node.childrenUL = document.createElement("ul");
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+  o.node.plus_img.height = 22;
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+  if (localStorageSupported()) {
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+    if (cachedLink()) {
+      showSyncOff(navSync,relpath);
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+                               $(location).attr('hash').substring(1);
+         a=$('.item a[class$="'+clslink+'"]');
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+         $('.item').removeClass('selected');
+         $('.item').removeAttr('id');
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+       navTo(o,link,$(location).attr('hash'),relpath);
+     }
+  })
+
+  $(window).load(showRoot);
+}
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+var NAVTREEINDEX0 =
+{
+"_c_m_revision_history.html":[1],
+"index.html":[],
+"index.html":[0],
+"pages.html":[]
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Usage and Description</title>
+<title>CMSIS: Usage and Description</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS
+   &#160;<span id="projectnumber">Version 4.5.0</span>
+   </div>
+   <div id="projectbrief">Cortex Microcontroller Software Interface Standard</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('pages.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Usage and Description</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all related documentation pages:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="_c_m_revision_history.html" target="_self">Revision History</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:34 for CMSIS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
index 0000000..64d846b
--- /dev/null
+++ b/Documentation/General/html/printComponentTabs.js
@@ -0,0 +1,36 @@
+var strgURL =   location.pathname;                      // path of current component
+
+// constuctor for the array of objects
+function tabElement(id, folderName, tabTxt )  {
+	this.id = id;                                       // elementID as needed in html; 
+	this.folderName = folderName;                       // folder name of the component 
+    this.tabTxt = tabTxt;                               // Text displayed as menu on the web
+	this.currentListItem = '<li id="' + this.id + '" class="current"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+	this.listItem = '<li id="' + this.id + '"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+};
+
+// array of objects
+var arr = [];
+
+// fill array
+ arr.push( new tabElement( "GEN",    "/General/html/",     "General")   );
+ arr.push( new tabElement( "CORE",   "/Core/html/",        "Core")      );
+ arr.push( new tabElement( "DRV",    "/Driver/html/",      "Driver")    );
+ arr.push( new tabElement( "DSP",    "/DSP/html/",         "DSP")       );
+ arr.push( new tabElement( "RTOS",   "/RTOS/html/",        "RTOS API")  );
+ arr.push( new tabElement( "RTX",    "/RTX/html/",         "RTX")       );
+ arr.push( new tabElement( "PACK",   "/Pack/html/",        "Pack")      );
+ arr.push( new tabElement( "SVD",    "/SVD/html/",         "SVD")       );
+ arr.push( new tabElement( "DAP",    "/DAP/html/",         "DAP")       );
+ 
+// write tabs
+// called from the header file.
+function writeComponentTabs()  {
+  for ( var i=0; i < arr.length; i++ ) {
+    if (strgURL.search(arr[i].folderName) > 0) {                    // if this is the current folder
+      document.write(arr[i].currentListItem);                       // then print and hightlight the tab
+    } else {                                                      
+      document.write(arr[i].listItem);                              // else, print the tab
+    }                                                             
+  }
+};
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new file mode 100644
index 0000000..9fe82ba
--- /dev/null
+++ b/Documentation/General/html/resize.js
@@ -0,0 +1,93 @@
+var cookie_namespace = 'doxygen'; 
+var sidenav,navtree,content,header;
+
+function readCookie(cookie) 
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+  {
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+      return val;
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+}
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+function writeCookie(cookie, val, expiration) 
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+ 
+function resizeWidth() 
+{
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+  content.css({marginLeft:parseInt(sidenavWidth)+6+"px"}); //account for 6px-wide handle-bar
+  writeCookie('width',sidenavWidth, null);
+}
+
+function restoreWidth(navWidth)
+{
+  var windowWidth = $(window).width() + "px";
+  content.css({marginLeft:parseInt(navWidth)+6+"px"});
+  sidenav.css({width:navWidth + "px"});
+}
+
+function resizeHeight() 
+{
+  var headerHeight = header.height();
+  var footerHeight = footer.height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  content.css({height:windowHeight + "px"});
+  navtree.css({height:windowHeight + "px"});
+  sidenav.css({height:windowHeight + "px",top: headerHeight+"px"});
+}
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+function initResizable()
+{
+  header  = $("#top");
+  sidenav = $("#side-nav");
+  content = $("#doc-content");
+  navtree = $("#nav-tree");
+  footer  = $("#nav-path");
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+.tabs, .tabs1, .tabs2, .tabs3 {
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+    width: 100%;
+    z-index: 101;
+    font-size: 10px;
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+.tabs1 {
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+    font-size: 12px;
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+.tabs2 {
+    font-size: 10px;
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+.tabs3 {
+    font-size: 9px;
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+.tablist {
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+    padding: 0;
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+    background-image: url('tab_topnav.png');
+    list-style: none;
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+.tablist a {
+    display: block;
+    padding: 0 20px;
+    font-weight: bold;
+    background-image:url('tab_s.png');
+    background-repeat:no-repeat;
+    background-position:right;
+    color: #283A5D;
+    text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+    text-decoration: none;
+    outline: none;
+}
+
+.tabs3 .tablist a {
+    padding: 0 10px;
+}
+
+.tablist a:hover {
+    background-image: url('tab_h.png');
+    background-repeat:repeat-x;
+    color: #fff;
+    text-shadow: 0px 1px 1px rgba(0, 0, 0, 1.0);
+    text-decoration: none;
+}
+
+.tablist li.current a {
+    background-image: url('tab_a.png');
+    background-repeat:repeat-x;
+    color: #fff;
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+}
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+++ b/Documentation/RTOS/html/_function_overview.html
@@ -0,0 +1,204 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Function Overview</title>
+<title>CMSIS-RTOS: Function Overview</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_function_overview.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Function Overview </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The following list provides a brief overview of all CMSIS-RTOS functions. Functions marked with $ are optional. A specific CMSIS-RTOS implementation may not provide all functions, but this is clearly indicated with <b>osFeatureXXXX</b> defines.</p>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html">Kernel Information and Control</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e">osKernelInitialize</a> : Initialize the RTOS kernel.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a> : Start the RTOS kernel.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5">osKernelRunning</a> : Query if the RTOS kernel is running.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">osKernelSysTick</a> : Get RTOS kernel system timer counter.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a> : RTOS kernel system timer frequency in Hz.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">osKernelSysTickMicroSec</a> : Convert microseconds value to RTOS kernel system timer value.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html">Thread Management</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> : Start execution of a thread function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a> : Stop execution of a thread function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a> : Pass execution to next ready thread function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a> : Get the thread identifier to reference this thread.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">osThreadSetPriority</a> : Change the execution priority of a thread function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9">osThreadGetPriority</a> : Obtain the current execution priority of a thread function.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html">Generic Wait Functions</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> : Wait for a specified time.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> : Wait for any event of the type Signal, Message, or Mail.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html">Timer Management</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a> : Define attributes of the timer callback function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a> : Start or restart the timer with a time value.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">osTimerStop</a> : Stop the timer.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">osTimerDelete</a> : Delete a timer.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html">Signal Events</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">osSignalSet</a> : Set signal flags of a thread.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">osSignalClear</a> : Reset signal flags of a thread.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a> : Suspend execution until specific signal flags are set.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html">Mutexes</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a> : Define and initialize a mutex.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a> : Obtain a mutex or Wait until it becomes available.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">osMutexRelease</a> : Release a mutex.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">osMutexDelete</a> : Delete a mutex.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html">Semaphores</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> : Define and initialize a semaphore.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">osSemaphoreWait</a> : Obtain a semaphore token or Wait until it becomes available.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">osSemaphoreRelease</a> : Release a semaphore token.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">osSemaphoreDelete</a> : Delete a semaphore.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html">Memory Pool</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a> : Define and initialize a fix-size memory pool.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">osPoolAlloc</a> : Allocate a memory block.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">osPoolCAlloc</a> : Allocate a memory block and zero-set this block.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">osPoolFree</a> : Return a memory block to the memory pool.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html">Message Queue</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a> : Define and initialize a message queue.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">osMessagePut</a> : Put a message into a message queue.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">osMessageGet</a> : Get a message or suspend thread execution until message arrives.</li>
+</ul>
+</li>
+</ul>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html">Mail Queue</a><ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a> : Define and initialize a mail queue with fix-size memory blocks.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">osMailAlloc</a> : Allocate a memory block.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">osMailCAlloc</a> : Allocate a memory block and zero-set this block.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02">osMailPut</a> : Put a memory block into a mail queue.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">osMailGet</a> : Get a mail or suspend thread execution until mail arrives.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc">osMailFree</a> : Return a memory block to the mail queue.</li>
+</ul>
+</li>
+</ul>
+<h1><a class="anchor" id="CMSIS_RTOS_TimeOutValue"></a>
+Timout Value</h1>
+<p>The timeout value specifies the number of timer ticks until a timeout or time delay elapses. The value is an upper bound and depends on the actual time elapsed since the last timer tick.</p>
+<p>For a value of <b>1</b> the system waits until the next timer tick occurs. That means that the actual timeout value can be one timer tick less than the specified timeout value.</p>
+<div class="image">
+<img src="TimerValues.png" alt="TimerValues.png"/>
+<div class="caption">
+Timer Values</div></div>
+ <h1><a class="anchor" id="CMSIS_RTOS_ISR_Calls"></a>
+Calls from Interrupt Service Routines</h1>
+<p>The following CMSIS-RTOS functions can be called from threads and Interrupt Service Routines (ISR):</p>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5">osKernelRunning</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">osSignalSet</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">osSemaphoreRelease</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">osPoolAlloc</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">osPoolCAlloc</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">osPoolFree</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">osMessagePut</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">osMessageGet</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">osMailAlloc</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">osMailCAlloc</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">osMailGet</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02">osMailPut</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc">osMailFree</a></li>
+</ul>
+<p>Functions that cannot be called from an ISR are verifying the interrupt status and return, in case they are called from an ISR context, the status code <b>osErrorISR</b>. In some implementations, this condition might be caught using the HARD FAULT vector.</p>
+<p>Some CMSIS-RTOS implementations support CMSIS-RTOS function calls from multiple ISRs at the same time. If this is impossible, the CMSIS-RTOS rejects calls by nested ISR functions with the status code <b>osErrorISRRecursive</b>. </p>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/_rtos_validation.html b/Documentation/RTOS/html/_rtos_validation.html
new file mode 100644
index 0000000..a4b6238
--- /dev/null
+++ b/Documentation/RTOS/html/_rtos_validation.html
@@ -0,0 +1,132 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>RTOS Validation</title>
+<title>CMSIS-RTOS: RTOS Validation</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_rtos_validation.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">RTOS Validation </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>ARM offers a <a href="http://www.keil.com/pack" class="el" target="_blank">Software Pack</a> for the CMSIS-RTOS Validation. The <b>ARM::CMSIS-RTOS_Validation</b> Pack contains the following:</p>
+<ul>
+<li>Source code of a CMSIS-RTOS Validation Suite along with configuration file.</li>
+<li>Documentation of the CMSIS-RTOS Validation Suite.</li>
+<li>Example that shows the usage of the CMSIS-RTOS Validation Suite using simulation.</li>
+</ul>
+<p>The CMSIS-RTOS Validation Suite is currently available in beta release and performs generic validation of various RTOS features. The test cases verify the functional behaviour, test invalid parameters and call management functions from ISR.</p>
+<p>The following CMSIS-RTOS features can be tested with the current release:</p>
+<ul>
+<li>Thread : Create multiple threads, terminate, restart, yield, change priority</li>
+<li>Timer : Create periodic and one-shot timers</li>
+<li>GenWait : Call generic wait functions (osDelay and osWait)</li>
+<li>WaitFunc : Measure wait ticks (delay, mail, message, mutex, semaphore, signal)</li>
+</ul>
+<p>Moreover the following inter-thread communication functions can be tested:</p>
+<ul>
+<li>Signal : Verify signal events</li>
+<li>Memory Pool : Verify memory allocation</li>
+<li>Message Queue : Exchange messages between threads</li>
+<li>Mail Queue : Exchange data between threads</li>
+<li>Mutex : Synchronize resource access</li>
+<li>Semaphore : Access shared resources</li>
+</ul>
+<p>The RTOS Validation output can be printed to a console, output via ITM printf, or output to a memory buffer.</p>
+<h1><a class="anchor" id="test_output"></a>
+Sample Test Output</h1>
+<pre class="fragment">CMSIS-RTOS Test Suite   Oct 21 2015   16:39:16 
+
+TEST 01: TC_ThreadCreate                  PASSED
+TEST 02: TC_ThreadMultiInstance           PASSED
+TEST 03: TC_ThreadTerminate               PASSED
+  :
+  :
+TEST 08: TC_ThreadChainedCreate           PASSED
+TEST 09: TC_ThreadYield                   NOT EXECUTED
+TEST 10: TC_ThreadParam                   PASSED
+  :
+  :
+TEST 60: TC_MailFromISRToThread           PASSED
+
+Test Summary: 60 Tests, 59 Executed, 59 Passed, 0 Failed, 0 Warnings.
+Test Result: PASSED
+</pre> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/_using_o_s.html b/Documentation/RTOS/html/_using_o_s.html
new file mode 100644
index 0000000..7f85ccd
--- /dev/null
+++ b/Documentation/RTOS/html/_using_o_s.html
@@ -0,0 +1,134 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Using a CMSIS-RTOS Implementation</title>
+<title>CMSIS-RTOS: Using a CMSIS-RTOS Implementation</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
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+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('_using_o_s.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Using a CMSIS-RTOS Implementation </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>A CMSIS-RTOS implementation is typically provided as a library. To add the RTOS functionality to an existing CMSIS-based application, the RTOS library (and typically a configuration file) needs to be added. The available functionality of the RTOS library is defined in the header file <b><a class="el" href="cmsis__os_8h.html">cmsis_os.h</a></b> that is specific for each CMSIS-RTOS implementation.</p>
+<div class="image">
+<img src="CMSIS_RTOS_Files.png" alt="CMSIS_RTOS_Files.png"/>
+<div class="caption">
+CMSIS-RTOS File Structure</div></div>
+<p> Depending on the CMSIS-RTOS implementation, execution may start with the <b>main</b> function as the first thread. This has the benefit that an application programmer may use other middleware libraries that create threads internally, but the remaining part of the user application just uses the <b>main</b> thread. Therefore, the usage of the RTOS can be invisible to the application programmer, but libraries can use CMSIS-RTOS features.</p>
+<p>Once the files are added to a project, the user can start working with the CMSIS-RTOS functions. A code example is provided below:</p>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span>                            <span class="comment">// CMSIS-RTOS header file</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> job1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument)  {              <span class="comment">// thread function &#39;job1&#39;</span></div>
+<div class="line">  <span class="keywordflow">while</span> (1)  {</div>
+<div class="line">      :                                          <span class="comment">// execute some code</span></div>
+<div class="line">    <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a> (10);                                <span class="comment">// delay execution for 10 milliseconds</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(job1, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b" title="priority: above normal">osPriorityAboveNormal</a>, 1, 0);  <span class="comment">// define job1 as thread function</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> job2 (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument)  {              <span class="comment">// thread function &#39;job2&#39;</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(job1),NULL);           <span class="comment">// create job1 thread</span></div>
+<div class="line">  <span class="keywordflow">while</span> (1)   {</div>
+<div class="line">    :                                            <span class="comment">// execute some code</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(job2, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);       <span class="comment">// define job2 as thread function</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> job3 (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument)  {              <span class="comment">// thread function &#39;job3&#39;</span></div>
+<div class="line">  <span class="keywordflow">while</span> (1)   {</div>
+<div class="line">      :                                          <span class="comment">// execute some code</span></div>
+<div class="line">    <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a> (20);                                <span class="comment">// delay execution for 20 milliseconds</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(job3, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);       <span class="comment">// define job3 as thread function</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>) {                                <span class="comment">// program execution starts here</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize</a> ();                         <span class="comment">// initialize RTOS kernel</span></div>
+<div class="line">    :                                            <span class="comment">// setup and initialize peripherals</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(job2));</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(job3));</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2" title="Start the RTOS Kernel.">osKernelStart</a> ();                              <span class="comment">// start kernel with job2 execution</span></div>
+<div class="line">}</div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/annotated.html b/Documentation/RTOS/html/annotated.html
new file mode 100644
index 0000000..bb651f6
--- /dev/null
+++ b/Documentation/RTOS/html/annotated.html
@@ -0,0 +1,110 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Structures</title>
+<title>CMSIS-RTOS: Data Structures</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('annotated.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Data Structures</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here are the data structures with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos__mail_q" target="_self">os_mailQ</a></td><td class="desc"></td></tr>
+<tr id="row_1_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" target="_self">osEvent</a></td><td class="desc">Event structure contains detailed information about an event</td></tr>
+<tr id="row_2_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_mail_q_def__t.html" target="_self">osMailQDef_t</a></td><td class="desc">Definition structure for mail queue</td></tr>
+<tr id="row_3_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_message_q_def__t.html" target="_self">osMessageQDef_t</a></td><td class="desc">Definition structure for message queue</td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_mutex_def__t.html" target="_self">osMutexDef_t</a></td><td class="desc">Mutex Definition structure contains setup information for a mutex</td></tr>
+<tr id="row_5_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_pool_def__t.html" target="_self">osPoolDef_t</a></td><td class="desc">Definition structure for memory block allocation</td></tr>
+<tr id="row_6_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_semaphore_def__t.html" target="_self">osSemaphoreDef_t</a></td><td class="desc">Semaphore Definition structure contains setup information for a semaphore</td></tr>
+<tr id="row_7_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_thread_def__t.html" target="_self">osThreadDef_t</a></td><td class="desc">Thread Definition structure contains startup information of a thread</td></tr>
+<tr id="row_8_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><img src="ftv2cl.png" alt="C" width="24" height="22" /><a class="el" href="structos_timer_def__t.html" target="_self">osTimerDef_t</a></td><td class="desc">Timer Definition structure contains timer parameters</td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/annotated.js b/Documentation/RTOS/html/annotated.js
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+var annotated =
+[
+    [ "osMailQDef_t", "structos_mail_q_def__t.html", "structos_mail_q_def__t" ],
+    [ "osMessageQDef_t", "structos_message_q_def__t.html", "structos_message_q_def__t" ],
+    [ "osMutexDef_t", "structos_mutex_def__t.html", "structos_mutex_def__t" ],
+    [ "osPoolDef_t", "structos_pool_def__t.html", "structos_pool_def__t" ],
+    [ "osSemaphoreDef_t", "structos_semaphore_def__t.html", "structos_semaphore_def__t" ],
+    [ "osThreadDef_t", "structos_thread_def__t.html", "structos_thread_def__t" ],
+    [ "osTimerDef_t", "structos_timer_def__t.html", "structos_timer_def__t" ]
+];
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+++ b/Documentation/RTOS/html/classes.html
@@ -0,0 +1,106 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Structure Index</title>
+<title>CMSIS-RTOS: Data Structure Index</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li class="current"><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('classes.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Data Structure Index</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="qindex"><a class="qindex" href="#letter_O">O</a></div>
+<table style="margin: 10px; white-space: nowrap;" align="center" width="95%" border="0" cellspacing="0" cellpadding="0">
+<tr><td rowspan="2" valign="bottom"><a name="letter_O"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;O&#160;&#160;</div></td></tr></table>
+</td><td valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_thread_def__t.html">osThreadDef_t</a>&#160;&#160;&#160;</td></tr>
+<tr><td valign="top"><a class="el" href="structos_mail_q_def__t.html">osMailQDef_t</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_pool_def__t.html">osPoolDef_t</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_timer_def__t.html">osTimerDef_t</a>&#160;&#160;&#160;</td></tr>
+<tr><td valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos__mail_q">os_mailQ</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_message_q_def__t.html">osMessageQDef_t</a>&#160;&#160;&#160;</td><td valign="top"><a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a>&#160;&#160;&#160;</td><td></td></tr>
+<tr><td></td><td></td><td></td><td></td></tr>
+</table>
+<div class="qindex"><a class="qindex" href="#letter_O">O</a></div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
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+</html>
diff --git a/Documentation/RTOS/html/closed.png b/Documentation/RTOS/html/closed.png
new file mode 100644
index 0000000..98cc2c9
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diff --git a/Documentation/RTOS/html/cmsis.css b/Documentation/RTOS/html/cmsis.css
new file mode 100644
index 0000000..293d0d0
--- /dev/null
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+/* The standard CSS for doxygen */
+
+body, table, div, p, dl {
+	font-family: Lucida Grande, Verdana, Geneva, Arial, sans-serif;
+	font-size: 13px;
+	line-height: 1.3;
+}
+
+/* CMSIS styles */
+
+.style1 {
+		text-align: center;
+}
+.style2 {
+		color: #0000FF;
+		font-weight: normal;
+}
+.style3 {
+		text-align: left;
+}
+.style4 {
+		color: #008000;
+}
+.style5 {
+		color: #0000FF;
+}
+.style6 {
+		color: #000000;
+		font-style:italic;
+}
+.mand {
+		color: #0000FF;
+}
+.opt {
+		color: #008000;
+}
+.cond {
+		color: #990000;
+}
+
+.choice 
+{
+	background-color:#F7F9D0;
+}
+.seq 
+{
+	background-color:#C9DECB;
+}
+.group1
+{
+	background-color:#F8F1F1;
+}
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+{
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+}
+
+
+ul ul {
+		list-style-type: disc;
+}
+
+ul ul ul {
+		list-style-type: disc;
+}
+
+ul.hierarchy {
+		color: green;
+}
+
+em {
+		color: #000000;
+		font-style:italic;
+}
+
+
+
+/*  CMSIS Tables */
+table.cmtab1 {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+	text-align: justify;
+	width:70%;
+}
+
+th.cmtab1 {
+	background: #EBEFF6;
+	font-weight: bold;
+	height: 28px;
+}
+
+td.cmtab1 {
+	padding:1px;
+	text-align: left;
+}
+
+table.cmtable {
+	border-collapse:collapse;
+	text-align: justify;
+}
+
+table.cmtable td, table.cmtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
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+table.cmtable th {
+	background-color: #EBEFF6;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+	text-align:left;
+}
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+	font-family:"Arial monospaced for SAP";
+}
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+td.XML-Token 
+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
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+{
+	azimuth: 180;
+	font-style:italic;
+	color:Maroon;
+	z-index:20;
+	
+}
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+span.h2 
+{
+	font-size: 120%;
+	font-weight: bold;
+}
+
+
+
+/* @group Heading Levels */
+
+h1 {
+	font-size: 150%;
+}
+
+.title {
+	font-size: 150%;
+	font-weight: bold;
+	margin: 10px 2px;
+}
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+h2 {
+	font-size: 120%;
+}
+
+h3 {
+	font-size: 100%;
+}
+
+h1, h2, h3, h4, h5, h6 {
+	-webkit-transition: text-shadow 0.5s linear;
+	-moz-transition: text-shadow 0.5s linear;
+	-ms-transition: text-shadow 0.5s linear;
+	-o-transition: text-shadow 0.5s linear;
+	transition: text-shadow 0.5s linear;
+	margin-right: 15px;
+}
+
+h1.glow, h2.glow, h3.glow, h4.glow, h5.glow, h6.glow {
+	text-shadow: 0 0 15px cyan;
+}
+
+dt {
+	font-weight: bold;
+}
+
+div.multicol {
+	-moz-column-gap: 1em;
+	-webkit-column-gap: 1em;
+	-moz-column-count: 3;
+	-webkit-column-count: 3;
+}
+
+p.startli, p.startdd, p.starttd {
+	margin-top: 2px;
+}
+
+p.endli {
+	margin-bottom: 0px;
+}
+
+p.enddd {
+	margin-bottom: 4px;
+}
+
+p.endtd {
+	margin-bottom: 2px;
+}
+
+/* @end */
+
+caption {
+	font-weight: bold;
+}
+
+span.legend {
+        font-size: 70%;
+        text-align: center;
+}
+
+h3.version {
+        font-size: 90%;
+        text-align: center;
+}
+
+div.qindex, div.navtab{
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+}
+
+div.qindex, div.navpath {
+	width: 100%;
+	line-height: 140%;
+}
+
+div.navtab {
+	margin-right: 15px;
+}
+
+/* @group Link Styling */
+
+a {
+	color: #3A568E;
+	font-weight: normal;
+	text-decoration: none;
+}
+
+.contents a:visited {
+	color: #4464A5;
+}
+
+a:hover {
+	text-decoration: underline;
+}
+
+a.qindex {
+	font-weight: bold;
+}
+
+a.qindexHL {
+	font-weight: bold;
+	background-color: #9AAED5;
+	color: #ffffff;
+	border: 1px double #849CCC;
+}
+
+.contents a.qindexHL:visited {
+        color: #ffffff;
+}
+
+a.el {
+	font-weight: bold;
+}
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+a.elRef {
+}
+
+a.code, a.code:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px;
+        margin: 4px;
+	background-color: #FBFCFD;
+	border: 1px solid #C3CFE6;
+}
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+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+}
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C3CFE6;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C3CFE6;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EDF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9AAED5;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A2B4D8;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4769AD;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memItemLeft, .memItemRight, .memTemplParams {
+	border-top: 1px solid #C3CFE6;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4464A5;
+        white-space: nowrap;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4464A5;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A2B4D8;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A7B8DA;
+        border-left: 1px solid #A7B8DA;
+        border-right: 1px solid #A7B8DA;
+        padding: 6px 0px 6px 0px;
+        color: #233456;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E7F3;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A7B8DA;      
+        border-left: 1px solid #A7B8DA;      
+        border-right: 1px solid #A7B8DA; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #708CC4;
+        border-top:1px solid #5072B7;
+        border-left:1px solid #5072B7;
+        border-right:1px solid #C3CFE6;
+        border-bottom:1px solid #C3CFE6;
+	text-shadow: none;
+        color: white;
+        margin-right: 4px;
+        padding: 2px 3px;
+        border-radius: 3px;
+        font-size: 7pt;
+	white-space: nowrap;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3A568E;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #293C63;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2B4069;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #EBEFF6;
+	color: #000000;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A7B8DA;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
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diff --git a/Documentation/RTOS/html/cmsis__os_8h.html b/Documentation/RTOS/html/cmsis__os_8h.html
new file mode 100644
index 0000000..8ff05bf
--- /dev/null
+++ b/Documentation/RTOS/html/cmsis__os_8h.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>cmsis_os.h File Reference</title>
+<title>CMSIS-RTOS: cmsis_os.h File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+<div class="header">
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+<a href="#nested-classes">Data Structures</a> &#124;
+<a href="#define-members">Macros</a> &#124;
+<a href="#typedef-members">Typedefs</a> &#124;
+<a href="#enum-members">Enumerations</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
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+</div><!--header-->
+<div class="contents">
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Definition structure for mail queue.  <a href="structos_mail_q_def__t.html#details">More...</a><br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ga479a6561f859e3d4818e25708593d203"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203">osFeature_MessageQ</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:ga479a6561f859e3d4818e25708593d203"><td class="mdescLeft">&#160;</td><td class="mdescRight">Message Queues: 1=available, 0=not available.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203"></a><br/></td></tr>
+<tr class="separator:ga479a6561f859e3d4818e25708593d203"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga01edde265710d883b6e237d34a6ef4a6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga01edde265710d883b6e237d34a6ef4a6">osFeature_Signals</a>&#160;&#160;&#160;8</td></tr>
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+<tr class="separator:ga01edde265710d883b6e237d34a6ef4a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a">osFeature_Semaphore</a>&#160;&#160;&#160;30</td></tr>
+<tr class="memdesc:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum count for <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> function  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a"></a><br/></td></tr>
+<tr class="separator:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6c97d38879ae86491628f6e647639bad"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">osFeature_Wait</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:ga6c97d38879ae86491628f6e647639bad"><td class="mdescLeft">&#160;</td><td class="mdescRight">osWait function: 1=available, 0=not available  <a href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad"></a><br/></td></tr>
+<tr class="separator:ga6c97d38879ae86491628f6e647639bad"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae554ec16c23c5b7d65affade2a351891"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891">osFeature_SysTick</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:gae554ec16c23c5b7d65affade2a351891"><td class="mdescLeft">&#160;</td><td class="mdescRight">osKernelSysTick functions: 1=available, 0=not available  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891"></a><br/></td></tr>
+<tr class="separator:gae554ec16c23c5b7d65affade2a351891"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9eb9a7a797a42e4b55eb171ecc609ddb"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb">osWaitForever</a>&#160;&#160;&#160;0xFFFFFFFF</td></tr>
+<tr class="memdesc:a9eb9a7a797a42e4b55eb171ecc609ddb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Timeout value.  <a href="#a9eb9a7a797a42e4b55eb171ecc609ddb"></a><br/></td></tr>
+<tr class="separator:a9eb9a7a797a42e4b55eb171ecc609ddb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9e0954d52722673e2031233a2ab99960"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a>&#160;&#160;&#160;100000000</td></tr>
+<tr class="memdesc:ga9e0954d52722673e2031233a2ab99960"><td class="mdescLeft">&#160;</td><td class="mdescRight">The RTOS kernel system timer frequency in Hz.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960"></a><br/></td></tr>
+<tr class="separator:ga9e0954d52722673e2031233a2ab99960"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae12c190af42d7310d8006d64f4ed5a88"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">osKernelSysTickMicroSec</a>(microsec)&#160;&#160;&#160;(((uint64_t)microsec * (<a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a>)) / 1000000)</td></tr>
+<tr class="memdesc:gae12c190af42d7310d8006d64f4ed5a88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a microseconds value to a RTOS kernel system timer value.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88"></a><br/></td></tr>
+<tr class="separator:gae12c190af42d7310d8006d64f4ed5a88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaee93d929beb350f16e5cc7fa602e229f"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f">osThreadDef</a>(name, priority, instances, stacksz)</td></tr>
+<tr class="memdesc:gaee93d929beb350f16e5cc7fa602e229f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Thread Definition with function, priority, and stack requirements.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f"></a><br/></td></tr>
+<tr class="separator:gaee93d929beb350f16e5cc7fa602e229f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">osThread</a>(name)&#160;&#160;&#160;&amp;os_thread_def_##name</td></tr>
+<tr class="memdesc:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Thread definition.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453"></a><br/></td></tr>
+<tr class="separator:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1c720627e08d1cc1afcad44e799ed492"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492">osTimerDef</a>(name, function)</td></tr>
+<tr class="memdesc:ga1c720627e08d1cc1afcad44e799ed492"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Timer object.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492"></a><br/></td></tr>
+<tr class="separator:ga1c720627e08d1cc1afcad44e799ed492"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1b8d670eaf964b2910fa06885e650678"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678">osTimer</a>(name)&#160;&#160;&#160;&amp;os_timer_def_##name</td></tr>
+<tr class="memdesc:ga1b8d670eaf964b2910fa06885e650678"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Timer definition.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678"></a><br/></td></tr>
+<tr class="separator:ga1b8d670eaf964b2910fa06885e650678"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9b522438489d7c402c95332b58bc94f3"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3">osMutexDef</a>(name)&#160;&#160;&#160;const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> os_mutex_def_##name = { 0 }</td></tr>
+<tr class="memdesc:ga9b522438489d7c402c95332b58bc94f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Mutex.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3"></a><br/></td></tr>
+<tr class="separator:ga9b522438489d7c402c95332b58bc94f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1122a86faa64b4a0880c76cf68d0c934"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">osMutex</a>(name)&#160;&#160;&#160;&amp;os_mutex_def_##name</td></tr>
+<tr class="memdesc:ga1122a86faa64b4a0880c76cf68d0c934"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Mutex definition.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934"></a><br/></td></tr>
+<tr class="separator:ga1122a86faa64b4a0880c76cf68d0c934"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9e66fe361749071e5ab87826c43c2f1b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b">osSemaphoreDef</a>(name)&#160;&#160;&#160;const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> os_semaphore_def_##name = { 0 }</td></tr>
+<tr class="memdesc:ga9e66fe361749071e5ab87826c43c2f1b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Semaphore object.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b"></a><br/></td></tr>
+<tr class="separator:ga9e66fe361749071e5ab87826c43c2f1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga03761ee8d2c3cd4544e18364ab301dac"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">osSemaphore</a>(name)&#160;&#160;&#160;&amp;os_semaphore_def_##name</td></tr>
+<tr class="memdesc:ga03761ee8d2c3cd4544e18364ab301dac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Semaphore definition.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac"></a><br/></td></tr>
+<tr class="separator:ga03761ee8d2c3cd4544e18364ab301dac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga87b471d4fe2d5dbd0040708edd52771b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b">osPoolDef</a>(name, no, type)</td></tr>
+<tr class="memdesc:ga87b471d4fe2d5dbd0040708edd52771b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Memory Pool.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b"></a><br/></td></tr>
+<tr class="separator:ga87b471d4fe2d5dbd0040708edd52771b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5f0b204a82327533d420210125c90697"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">osPool</a>(name)&#160;&#160;&#160;&amp;os_pool_def_##name</td></tr>
+<tr class="memdesc:ga5f0b204a82327533d420210125c90697"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Memory Pool definition.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697"></a><br/></td></tr>
+<tr class="separator:ga5f0b204a82327533d420210125c90697"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac9a6a6276c12609793e7701afcc82326"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326">osMessageQDef</a>(name, queue_sz, type)</td></tr>
+<tr class="memdesc:gac9a6a6276c12609793e7701afcc82326"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Message Queue Definition.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326"></a><br/></td></tr>
+<tr class="separator:gac9a6a6276c12609793e7701afcc82326"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">osMessageQ</a>(name)&#160;&#160;&#160;&amp;os_messageQ_def_##name</td></tr>
+<tr class="memdesc:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Message Queue Definition.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97"></a><br/></td></tr>
+<tr class="separator:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga58d712b16c0c6668059f509386d1e55b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b">osMailQDef</a>(name, queue_sz, type)</td></tr>
+<tr class="memdesc:ga58d712b16c0c6668059f509386d1e55b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Mail Queue Definition.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b"></a><br/></td></tr>
+<tr class="separator:ga58d712b16c0c6668059f509386d1e55b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">osMailQ</a>(name)&#160;&#160;&#160;&amp;os_mailQ_def_##name</td></tr>
+<tr class="memdesc:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Mail Queue Definition.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2"></a><br/></td></tr>
+<tr class="separator:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
+Typedefs</h2></td></tr>
+<tr class="memitem:aee631e5ea1b700fc35695cc7bc574cf7"><td class="memItemLeft" align="right" valign="top">typedef void(*&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#aee631e5ea1b700fc35695cc7bc574cf7">os_pthread</a> )(void const *argument)</td></tr>
+<tr class="memdesc:aee631e5ea1b700fc35695cc7bc574cf7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Entry point of a thread.  <a href="#aee631e5ea1b700fc35695cc7bc574cf7"></a><br/></td></tr>
+<tr class="separator:aee631e5ea1b700fc35695cc7bc574cf7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa2d85e49bde9f6951ff3545cd323f065"><td class="memItemLeft" align="right" valign="top">typedef void(*&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065">os_ptimer</a> )(void const *argument)</td></tr>
+<tr class="memdesc:aa2d85e49bde9f6951ff3545cd323f065"><td class="mdescLeft">&#160;</td><td class="mdescRight">Entry point of a timer call back function.  <a href="#aa2d85e49bde9f6951ff3545cd323f065"></a><br/></td></tr>
+<tr class="separator:aa2d85e49bde9f6951ff3545cd323f065"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adfeb153a84a81309e2d958268197617f"><td class="memItemLeft" align="right" valign="top">typedef struct os_thread_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a></td></tr>
+<tr class="memdesc:adfeb153a84a81309e2d958268197617f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Thread ID identifies the thread (pointer to a thread control block).  <a href="#adfeb153a84a81309e2d958268197617f"></a><br/></td></tr>
+<tr class="separator:adfeb153a84a81309e2d958268197617f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab8530dd4273f1f5382187732e14fcaa7"><td class="memItemLeft" align="right" valign="top">typedef struct os_timer_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a></td></tr>
+<tr class="memdesc:ab8530dd4273f1f5382187732e14fcaa7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Timer ID identifies the timer (pointer to a timer control block).  <a href="#ab8530dd4273f1f5382187732e14fcaa7"></a><br/></td></tr>
+<tr class="separator:ab8530dd4273f1f5382187732e14fcaa7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3263c1ad9fd79b84f908d65e8da44ac2"><td class="memItemLeft" align="right" valign="top">typedef struct os_mutex_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a></td></tr>
+<tr class="memdesc:a3263c1ad9fd79b84f908d65e8da44ac2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mutex ID identifies the mutex (pointer to a mutex control block).  <a href="#a3263c1ad9fd79b84f908d65e8da44ac2"></a><br/></td></tr>
+<tr class="separator:a3263c1ad9fd79b84f908d65e8da44ac2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa8968896c84094aa973683c84fa06f84"><td class="memItemLeft" align="right" valign="top">typedef struct os_semaphore_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a></td></tr>
+<tr class="memdesc:aa8968896c84094aa973683c84fa06f84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Semaphore ID identifies the semaphore (pointer to a semaphore control block).  <a href="#aa8968896c84094aa973683c84fa06f84"></a><br/></td></tr>
+<tr class="separator:aa8968896c84094aa973683c84fa06f84"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a08d2e20fd9bbd96220fe068d420f3686"><td class="memItemLeft" align="right" valign="top">typedef struct os_pool_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a></td></tr>
+<tr class="memdesc:a08d2e20fd9bbd96220fe068d420f3686"><td class="mdescLeft">&#160;</td><td class="mdescRight">Pool ID identifies the memory pool (pointer to a memory pool control block).  <a href="#a08d2e20fd9bbd96220fe068d420f3686"></a><br/></td></tr>
+<tr class="separator:a08d2e20fd9bbd96220fe068d420f3686"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad9ec70c32c6c521970636b521e12d17f"><td class="memItemLeft" align="right" valign="top">typedef struct os_messageQ_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a></td></tr>
+<tr class="memdesc:ad9ec70c32c6c521970636b521e12d17f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Message ID identifies the message queue (pointer to a message queue control block).  <a href="#ad9ec70c32c6c521970636b521e12d17f"></a><br/></td></tr>
+<tr class="separator:ad9ec70c32c6c521970636b521e12d17f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1dac049fb7725a8af8b26c71cbb373b5"><td class="memItemLeft" align="right" valign="top">typedef struct os_mailQ_cb *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a></td></tr>
+<tr class="memdesc:a1dac049fb7725a8af8b26c71cbb373b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mail ID identifies the mail queue (pointer to a mail queue control block).  <a href="#a1dac049fb7725a8af8b26c71cbb373b5"></a><br/></td></tr>
+<tr class="separator:a1dac049fb7725a8af8b26c71cbb373b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:a7f2b42f1983b9107775ec2a1c69a849a"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#a7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81">osPriorityIdle</a> = -3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4">osPriorityLow</a> = -2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6">osPriorityBelowNormal</a> = -1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1">osPriorityNormal</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b">osPriorityAboveNormal</a> = +1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2">osPriorityHigh</a> = +2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af">osPriorityRealtime</a> = +3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4">osPriorityError</a> = 0x84
+<br/>
+ }</td></tr>
+<tr class="memdesc:a7f2b42f1983b9107775ec2a1c69a849a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Priority used for thread control.  <a href="cmsis__os_8h.html#a7f2b42f1983b9107775ec2a1c69a849a">More...</a><br/></td></tr>
+<tr class="separator:a7f2b42f1983b9107775ec2a1c69a849a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae2e091fefc4c767117727bd5aba4d99e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#ae2e091fefc4c767117727bd5aba4d99e">osStatus</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f">osOK</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518">osEventSignal</a> = 0x08, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342">osEventMessage</a> = 0x10, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926">osEventMail</a> = 0x20, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177">osEventTimeout</a> = 0x40, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109">osErrorParameter</a> = 0x80, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d">osErrorResource</a> = 0x81, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467">osErrorTimeoutResource</a> = 0xC1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f">osErrorISR</a> = 0x82, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65">osErrorISRRecursive</a> = 0x83, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f">osErrorPriority</a> = 0x84, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81">osErrorNoMemory</a> = 0x85, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee">osErrorValue</a> = 0x86, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc">osErrorOS</a> = 0xFF, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1">os_status_reserved</a> = 0x7FFFFFFF
+<br/>
+ }</td></tr>
+<tr class="memdesc:ae2e091fefc4c767117727bd5aba4d99e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Status code values returned by CMSIS-RTOS functions.  <a href="cmsis__os_8h.html#ae2e091fefc4c767117727bd5aba4d99e">More...</a><br/></td></tr>
+<tr class="separator:ae2e091fefc4c767117727bd5aba4d99e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adac860eb9e1b4b0619271e6595ed83d9"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cmsis__os_8h.html#adac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951">osTimerOnce</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788">osTimerPeriodic</a> = 1
+<br/>
+ }</td></tr>
+<tr class="memdesc:adac860eb9e1b4b0619271e6595ed83d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Timer type value for the timer definition.  <a href="cmsis__os_8h.html#adac860eb9e1b4b0619271e6595ed83d9">More...</a><br/></td></tr>
+<tr class="separator:adac860eb9e1b4b0619271e6595ed83d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga53d078a801022e202e8115c083ece68e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e">osKernelInitialize</a> (void)</td></tr>
+<tr class="memdesc:ga53d078a801022e202e8115c083ece68e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the RTOS Kernel for creating objects.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e"></a><br/></td></tr>
+<tr class="separator:ga53d078a801022e202e8115c083ece68e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaab668ffd2ea76bb0a77ab0ab385eaef2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a> (void)</td></tr>
+<tr class="memdesc:gaab668ffd2ea76bb0a77ab0ab385eaef2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Start the RTOS Kernel.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2"></a><br/></td></tr>
+<tr class="separator:gaab668ffd2ea76bb0a77ab0ab385eaef2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3b571de44cd3094c643247a7397f86b5"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5">osKernelRunning</a> (void)</td></tr>
+<tr class="memdesc:ga3b571de44cd3094c643247a7397f86b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Check if the RTOS kernel is already started.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5"></a><br/></td></tr>
+<tr class="separator:ga3b571de44cd3094c643247a7397f86b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad0262e4688e95d1e9038afd9bcc16001"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">osKernelSysTick</a> (void)</td></tr>
+<tr class="memdesc:gad0262e4688e95d1e9038afd9bcc16001"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the RTOS kernel system timer counter.  <a href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001"></a><br/></td></tr>
+<tr class="separator:gad0262e4688e95d1e9038afd9bcc16001"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac59b5713cb083702dce759c73fd90dff"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> (const <a class="el" href="structos_thread_def__t.html">osThreadDef_t</a> *thread_def, void *argument)</td></tr>
+<tr class="memdesc:gac59b5713cb083702dce759c73fd90dff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a thread and add it to Active Threads and set it to state READY.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff"></a><br/></td></tr>
+<tr class="separator:gac59b5713cb083702dce759c73fd90dff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a> (void)</td></tr>
+<tr class="memdesc:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the thread ID of the current running thread.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7"></a><br/></td></tr>
+<tr class="separator:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaea135bb90eb853eff39e0800b91bbeab"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaea135bb90eb853eff39e0800b91bbeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Terminate execution of a thread and remove it from Active Threads.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab"></a><br/></td></tr>
+<tr class="separator:gaea135bb90eb853eff39e0800b91bbeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf13a667493c5d629a90c13e113b99233"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a> (void)</td></tr>
+<tr class="memdesc:gaf13a667493c5d629a90c13e113b99233"><td class="mdescLeft">&#160;</td><td class="mdescRight">Pass control to next thread that is in state <b>READY</b>.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233"></a><br/></td></tr>
+<tr class="separator:gaf13a667493c5d629a90c13e113b99233"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">osThreadSetPriority</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> priority)</td></tr>
+<tr class="memdesc:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Change priority of an active thread.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"></a><br/></td></tr>
+<tr class="separator:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ga4299d838978bc2aae5e4350754e6a4e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get current priority of an active thread.  <a href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9"></a><br/></td></tr>
+<tr class="separator:ga4299d838978bc2aae5e4350754e6a4e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga02e19d5e723bfb06ba9324d625162255"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> (uint32_t millisec)</td></tr>
+<tr class="memdesc:ga02e19d5e723bfb06ba9324d625162255"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for Timeout (Time Delay).  <a href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255"></a><br/></td></tr>
+<tr class="separator:ga02e19d5e723bfb06ba9324d625162255"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8470c8aaedfde524a44e22e5b2328285"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> (uint32_t millisec)</td></tr>
+<tr class="memdesc:ga8470c8aaedfde524a44e22e5b2328285"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for Signal, Message, Mail, or Timeout.  <a href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285"></a><br/></td></tr>
+<tr class="separator:ga8470c8aaedfde524a44e22e5b2328285"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a> (const <a class="el" href="structos_timer_def__t.html">osTimerDef_t</a> *timer_def, <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> type, void *argument)</td></tr>
+<tr class="memdesc:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a timer.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6"></a><br/></td></tr>
+<tr class="separator:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27a797a401b068e2644d1125f22a07ca"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga27a797a401b068e2644d1125f22a07ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Start or restart a timer.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca"></a><br/></td></tr>
+<tr class="separator:ga27a797a401b068e2644d1125f22a07ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga58f36b121a812936435cacc6e1e0e091"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">osTimerStop</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id)</td></tr>
+<tr class="memdesc:ga58f36b121a812936435cacc6e1e0e091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Stop the timer.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091"></a><br/></td></tr>
+<tr class="separator:ga58f36b121a812936435cacc6e1e0e091"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga746b8043d906849bd65e3900fcb483cf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">osTimerDelete</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id)</td></tr>
+<tr class="memdesc:ga746b8043d906849bd65e3900fcb483cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a timer that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>.  <a href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf"></a><br/></td></tr>
+<tr class="separator:ga746b8043d906849bd65e3900fcb483cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga3de2730654589d6c3559c4b9e2825553"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">osSignalSet</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, int32_t signals)</td></tr>
+<tr class="memdesc:ga3de2730654589d6c3559c4b9e2825553"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the specified Signal Flags of an active thread.  <a href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553"></a><br/></td></tr>
+<tr class="separator:ga3de2730654589d6c3559c4b9e2825553"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">osSignalClear</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, int32_t signals)</td></tr>
+<tr class="memdesc:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear the specified Signal Flags of an active thread.  <a href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6"></a><br/></td></tr>
+<tr class="separator:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga38860acda96df47da6923348d96fc4c9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a> (int32_t signals, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga38860acda96df47da6923348d96fc4c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for one or more Signal Flags to become signaled for the current <b>RUNNING</b> thread.  <a href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9"></a><br/></td></tr>
+<tr class="separator:ga38860acda96df47da6923348d96fc4c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5c9de56e717016e39e788064e9a291cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a> (const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> *mutex_def)</td></tr>
+<tr class="memdesc:ga5c9de56e717016e39e788064e9a291cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Mutex object.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc"></a><br/></td></tr>
+<tr class="separator:ga5c9de56e717016e39e788064e9a291cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait until a Mutex becomes available.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13"></a><br/></td></tr>
+<tr class="separator:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga006e4744d741e8e132c3d5bbc295afe1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">osMutexRelease</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id)</td></tr>
+<tr class="memdesc:ga006e4744d741e8e132c3d5bbc295afe1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Release a Mutex that was obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a>.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1"></a><br/></td></tr>
+<tr class="separator:ga006e4744d741e8e132c3d5bbc295afe1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac27e24135185d51d18f3dabc20910219"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">osMutexDelete</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id)</td></tr>
+<tr class="memdesc:gac27e24135185d51d18f3dabc20910219"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a Mutex that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>.  <a href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219"></a><br/></td></tr>
+<tr class="separator:gac27e24135185d51d18f3dabc20910219"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga97381e8e55cd47cec390bf57c96d6edb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> (const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> *semaphore_def, int32_t count)</td></tr>
+<tr class="memdesc:ga97381e8e55cd47cec390bf57c96d6edb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Semaphore object used for managing resources.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb"></a><br/></td></tr>
+<tr class="separator:ga97381e8e55cd47cec390bf57c96d6edb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gacc15b0fc8ce1167fe43da33042e62098"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">osSemaphoreWait</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gacc15b0fc8ce1167fe43da33042e62098"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait until a Semaphore token becomes available.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098"></a><br/></td></tr>
+<tr class="separator:gacc15b0fc8ce1167fe43da33042e62098"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab108914997c49e14d8ff1ae0d1988ca0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">osSemaphoreRelease</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id)</td></tr>
+<tr class="memdesc:gab108914997c49e14d8ff1ae0d1988ca0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Release a Semaphore token.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0"></a><br/></td></tr>
+<tr class="separator:gab108914997c49e14d8ff1ae0d1988ca0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabae2801ac2c096f6e8c69a264908f595"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">osSemaphoreDelete</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id)</td></tr>
+<tr class="memdesc:gabae2801ac2c096f6e8c69a264908f595"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a Semaphore that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>.  <a href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595"></a><br/></td></tr>
+<tr class="separator:gabae2801ac2c096f6e8c69a264908f595"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a> (const <a class="el" href="structos_pool_def__t.html">osPoolDef_t</a> *pool_def)</td></tr>
+<tr class="memdesc:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a memory pool.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a"></a><br/></td></tr>
+<tr class="separator:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">osPoolAlloc</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id)</td></tr>
+<tr class="memdesc:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a memory pool.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543"></a><br/></td></tr>
+<tr class="separator:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">osPoolCAlloc</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id)</td></tr>
+<tr class="memdesc:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a memory pool and set memory block to zero.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a"></a><br/></td></tr>
+<tr class="separator:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">osPoolFree</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id, void *block)</td></tr>
+<tr class="memdesc:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an allocated memory block back to a specific memory pool.  <a href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54"></a><br/></td></tr>
+<tr class="separator:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf3b9345cf426304d46565152bc26fb78"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a> (const <a class="el" href="structos_message_q_def__t.html">osMessageQDef_t</a> *queue_def, <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaf3b9345cf426304d46565152bc26fb78"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Message Queue.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78"></a><br/></td></tr>
+<tr class="separator:gaf3b9345cf426304d46565152bc26fb78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">osMessagePut</a> (<a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> queue_id, uint32_t info, uint32_t millisec)</td></tr>
+<tr class="memdesc:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Put a Message to a Queue.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d"></a><br/></td></tr>
+<tr class="separator:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">osMessageGet</a> (<a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get a Message or Wait for a Message from a Queue.  <a href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae"></a><br/></td></tr>
+<tr class="separator:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa177e7fe5820dd70d8c9e46ded131174"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a> (const <a class="el" href="structos_mail_q_def__t.html">osMailQDef_t</a> *queue_def, <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaa177e7fe5820dd70d8c9e46ded131174"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize mail queue.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174"></a><br/></td></tr>
+<tr class="separator:gaa177e7fe5820dd70d8c9e46ded131174"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadf5ce811bd6a56e617e902a1db6c2194"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">osMailAlloc</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gadf5ce811bd6a56e617e902a1db6c2194"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a mail.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194"></a><br/></td></tr>
+<tr class="separator:gadf5ce811bd6a56e617e902a1db6c2194"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">osMailCAlloc</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a mail and set memory block to zero.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd"></a><br/></td></tr>
+<tr class="separator:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga485ef6f81854ebda8ffbce4832181e02"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02">osMailPut</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, void *mail)</td></tr>
+<tr class="memdesc:ga485ef6f81854ebda8ffbce4832181e02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Put a mail to a queue.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02"></a><br/></td></tr>
+<tr class="separator:ga485ef6f81854ebda8ffbce4832181e02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">osMailGet</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get a mail from a queue.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd"></a><br/></td></tr>
+<tr class="separator:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc">osMailFree</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, void *mail)</td></tr>
+<tr class="memdesc:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free a memory block from a mail.  <a href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc"></a><br/></td></tr>
+<tr class="separator:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="a9eb9a7a797a42e4b55eb171ecc609ddb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osWaitForever&#160;&#160;&#160;0xFFFFFFFF</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osWaitForever</b> shall be consistent in every CMSIS-RTOS. wait forever timeout value </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Typedef Documentation</h2>
+<a class="anchor" id="aee631e5ea1b700fc35695cc7bc574cf7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef void(* os_pthread)(void const *argument)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>os_pthread</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa2d85e49bde9f6951ff3545cd323f065"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef void(* os_ptimer)(void const *argument)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>os_ptimer</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a1dac049fb7725a8af8b26c71cbb373b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_mailQ_cb* <a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_mailQ_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ad9ec70c32c6c521970636b521e12d17f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_messageQ_cb* <a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_messageQ_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a3263c1ad9fd79b84f908d65e8da44ac2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_mutex_cb* <a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_mutex_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="a08d2e20fd9bbd96220fe068d420f3686"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_pool_cb* <a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_pool_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="aa8968896c84094aa973683c84fa06f84"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_semaphore_cb* <a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_semaphore_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="adfeb153a84a81309e2d958268197617f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_thread_cb* <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_thread_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ab8530dd4273f1f5382187732e14fcaa7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef struct os_timer_cb* <a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_timer_cb</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="adac860eb9e1b4b0619271e6595ed83d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>os_timer_type</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951"></a>osTimerOnce</em>&nbsp;</td><td>
+<p>one-shot timer </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788"></a>osTimerPeriodic</em>&nbsp;</td><td>
+<p>repeating timer </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="a7f2b42f1983b9107775ec2a1c69a849a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPriority</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81"></a>osPriorityIdle</em>&nbsp;</td><td>
+<p>priority: idle (lowest) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4"></a>osPriorityLow</em>&nbsp;</td><td>
+<p>priority: low </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6"></a>osPriorityBelowNormal</em>&nbsp;</td><td>
+<p>priority: below normal </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1"></a>osPriorityNormal</em>&nbsp;</td><td>
+<p>priority: normal (default) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b"></a>osPriorityAboveNormal</em>&nbsp;</td><td>
+<p>priority: above normal </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2"></a>osPriorityHigh</em>&nbsp;</td><td>
+<p>priority: high </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af"></a>osPriorityRealtime</em>&nbsp;</td><td>
+<p>priority: realtime (highest) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4"></a>osPriorityError</em>&nbsp;</td><td>
+<p>system cannot determine priority or thread has illegal priority </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<a class="anchor" id="ae2e091fefc4c767117727bd5aba4d99e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osStatus</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f"></a>osOK</em>&nbsp;</td><td>
+<p>function completed; no error or event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518"></a>osEventSignal</em>&nbsp;</td><td>
+<p>function completed; signal event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342"></a>osEventMessage</em>&nbsp;</td><td>
+<p>function completed; message event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926"></a>osEventMail</em>&nbsp;</td><td>
+<p>function completed; mail event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177"></a>osEventTimeout</em>&nbsp;</td><td>
+<p>function completed; timeout occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109"></a>osErrorParameter</em>&nbsp;</td><td>
+<p>parameter error: a mandatory parameter was missing or specified an incorrect object. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d"></a>osErrorResource</em>&nbsp;</td><td>
+<p>resource not available: a specified resource was not available. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467"></a>osErrorTimeoutResource</em>&nbsp;</td><td>
+<p>resource not available within given time: a specified resource was not available within the timeout period. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f"></a>osErrorISR</em>&nbsp;</td><td>
+<p>not allowed in ISR context: the function cannot be called from interrupt service routines. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65"></a>osErrorISRRecursive</em>&nbsp;</td><td>
+<p>function called multiple times from ISR with same object. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f"></a>osErrorPriority</em>&nbsp;</td><td>
+<p>system cannot determine priority or thread has illegal priority. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81"></a>osErrorNoMemory</em>&nbsp;</td><td>
+<p>system is out of memory: it was impossible to allocate or reserve memory for the operation. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee"></a>osErrorValue</em>&nbsp;</td><td>
+<p>value of a parameter is out of range. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc"></a>osErrorOS</em>&nbsp;</td><td>
+<p>unspecified RTOS error: run-time error but no other error message fits. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1"></a>os_status_reserved</em>&nbsp;</td><td>
+<p>prevent from enum down-size compiler optimization. </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="dir_67baed4ff719a838d401a6dc7774cf41.html">RTOS</a></li><li class="navelem"><a class="el" href="dir_9afdeffb8e409a4e0df5c5bf9ab1a7d2.html">Template</a></li><li class="navelem"><a class="el" href="cmsis__os_8h.html">cmsis_os.h</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/cmsis__os_8txt.html b/Documentation/RTOS/html/cmsis__os_8txt.html
new file mode 100644
index 0000000..5941e23
--- /dev/null
+++ b/Documentation/RTOS/html/cmsis__os_8txt.html
@@ -0,0 +1,156 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>cmsis_os.txt File Reference</title>
+<title>CMSIS-RTOS: cmsis_os.txt File Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('cmsis__os_8txt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#enum-members">Enumerations</a>  </div>
+  <div class="headertitle">
+<div class="title">cmsis_os.txt File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:ga7f2b42f1983b9107775ec2a1c69a849a"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81">osPriorityIdle</a> = -3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4">osPriorityLow</a> = -2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6">osPriorityBelowNormal</a> = -1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1">osPriorityNormal</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b">osPriorityAboveNormal</a> = +1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2">osPriorityHigh</a> = +2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af">osPriorityRealtime</a> = +3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4">osPriorityError</a> = 0x84
+<br/>
+ }</td></tr>
+<tr class="separator:ga7f2b42f1983b9107775ec2a1c69a849a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadac860eb9e1b4b0619271e6595ed83d9"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951">osTimerOnce</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788">osTimerPeriodic</a> = 1
+<br/>
+ }</td></tr>
+<tr class="separator:gadac860eb9e1b4b0619271e6595ed83d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae2e091fefc4c767117727bd5aba4d99e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f">osOK</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518">osEventSignal</a> = 0x08, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342">osEventMessage</a> = 0x10, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926">osEventMail</a> = 0x20, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177">osEventTimeout</a> = 0x40, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109">osErrorParameter</a> = 0x80, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d">osErrorResource</a> = 0x81, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467">osErrorTimeoutResource</a> = 0xC1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f">osErrorISR</a> = 0x82, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65">osErrorISRRecursive</a> = 0x83, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f">osErrorPriority</a> = 0x84, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81">osErrorNoMemory</a> = 0x85, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee">osErrorValue</a> = 0x86, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc">osErrorOS</a> = 0xFF, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1">os_status_reserved</a> = 0x7FFFFFFF
+<br/>
+ }</td></tr>
+<tr class="separator:gae2e091fefc4c767117727bd5aba4d99e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="cmsis__os_8txt.html">cmsis_os.txt</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/cmsis_os_h.html b/Documentation/RTOS/html/cmsis_os_h.html
new file mode 100644
index 0000000..5e50d38
--- /dev/null
+++ b/Documentation/RTOS/html/cmsis_os_h.html
@@ -0,0 +1,826 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Header File Template: cmsis_os.h</title>
+<title>CMSIS-RTOS: Header File Template: cmsis_os.h</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li class="current"><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('cmsis_os_h.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Header File Template: <a class="el" href="cmsis__os_8h.html">cmsis_os.h</a> </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The file <b><a class="el" href="cmsis__os_8h.html">cmsis_os.h</a></b> is a template header file for a CMSIS-RTOS compliant Real-Time Operating System (RTOS). Each RTOS that is compliant with CMSIS-RTOS shall provide a specific <b><a class="el" href="cmsis__os_8h.html">cmsis_os.h</a></b> header file that represents its implementation.</p>
+<p>The file <a class="el" href="cmsis__os_8h.html">cmsis_os.h</a> contains:</p>
+<ul>
+<li>CMSIS-RTOS API function definitions</li>
+<li>struct definitions for parameters and return types</li>
+<li>status and priority values used by CMSIS-RTOS API functions</li>
+<li>macros for defining threads and other kernel objects</li>
+</ul>
+<p><b>Name conventions and header file modifications</b></p>
+<p>All definitions are prefixed with <b>os</b> to give an unique name space for CMSIS-RTOS functions. Definitions that are prefixed <b>os_</b> are not used in the application code but local to this header file. All definitions and functions that belong to a module are grouped and have a common prefix, i.e. <b>osThread</b>.</p>
+<p>Definitions that are marked with <b>CAN BE CHANGED</b> can be adapted towards the needs of the actual CMSIS-RTOS implementation. These definitions can be specific to the underlying RTOS kernel.</p>
+<p>Definitions that are marked with <b>MUST REMAIN UNCHANGED</b> cannot be altered. Otherwise the CMSIS-RTOS implementation is no longer compliant to the standard. Note that some functions are optional and need not to be provided by every CMSIS-RTOS implementation.</p>
+<p><b>Define and reference object definitions</b></p>
+<p>With <b>#define osObjectsExternal</b> objects are defined as external symbols. This allows to create a consistent header file that is used throughout a project as shown below:</p>
+<p><em>Header File</em> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&gt;</span>                                         <span class="comment">// CMSIS RTOS header file</span></div>
+<div class="line"></div>
+<div class="line"><span class="comment">// Thread definition</span></div>
+<div class="line"><span class="keyword">extern</span> <span class="keywordtype">void</span> thread_sample (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);             <span class="comment">// function prototype</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (thread_sample, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6" title="priority: below normal">osPriorityBelowNormal</a>, 1, 100);</div>
+<div class="line"></div>
+<div class="line"><span class="comment">// Pool definition</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a>(MyPool, 10, <span class="keywordtype">long</span>);</div>
+</div><!-- fragment --><p>This header file defines all objects when included in a C/C++ source file. When <b>#define osObjectsExternal</b> is present before the header file, the objects are defined as external symbols. A single consistent header file can therefore be used throughout the whole project.</p>
+<p><em>Example</em> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;osObjects.h&quot;</span>     <span class="comment">// Definition of the CMSIS-RTOS objects</span></div>
+</div><!-- fragment --><div class="fragment"><div class="line"><span class="preprocessor">#define osObjectsExternal  // Objects will be defined as external symbols</span></div>
+<div class="line"><span class="preprocessor">#include &quot;osObjects.h&quot;     // Reference to the CMSIS-RTOS objects</span></div>
+</div><!-- fragment --><p><b>Header file cmsis_os.h</b></p>
+<div class="fragment"><div class="line"><span class="comment">/* ----------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> * $Date:        5. February 2013</span></div>
+<div class="line"><span class="comment"> * $Revision:    V1.02</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * Project:      CMSIS-RTOS API</span></div>
+<div class="line"><span class="comment"> * Title:        cmsis_os.h template header file</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * Version 0.02</span></div>
+<div class="line"><span class="comment"> *    Initial Proposal Phase</span></div>
+<div class="line"><span class="comment"> * Version 0.03</span></div>
+<div class="line"><span class="comment"> *    osKernelStart added, optional feature: main started as thread</span></div>
+<div class="line"><span class="comment"> *    osSemaphores have standard behavior</span></div>
+<div class="line"><span class="comment"> *    osTimerCreate does not start the timer, added osTimerStart</span></div>
+<div class="line"><span class="comment"> *    osThreadPass is renamed to osThreadYield</span></div>
+<div class="line"><span class="comment"> * Version 1.01</span></div>
+<div class="line"><span class="comment"> *    Support for C++ interface</span></div>
+<div class="line"><span class="comment"> *     - const attribute removed from the osXxxxDef_t typedef&#39;s</span></div>
+<div class="line"><span class="comment"> *     - const attribute added to the osXxxxDef macros</span></div>
+<div class="line"><span class="comment"> *    Added: osTimerDelete, osMutexDelete, osSemaphoreDelete</span></div>
+<div class="line"><span class="comment"> *    Added: osKernelInitialize</span></div>
+<div class="line"><span class="comment"> * Version 1.02</span></div>
+<div class="line"><span class="comment"> *    Control functions for short timeouts in microsecond resolution:</span></div>
+<div class="line"><span class="comment"> *    Added: osKernelSysTick, osKernelSysTickFrequency, osKernelSysTickMicroSec</span></div>
+<div class="line"><span class="comment"> *    Removed: osSignalGet </span></div>
+<div class="line"><span class="comment"> *----------------------------------------------------------------------------</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * Copyright (c) 2013 ARM LIMITED</span></div>
+<div class="line"><span class="comment"> * All rights reserved.</span></div>
+<div class="line"><span class="comment"> * Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><span class="comment"> * modification, are permitted provided that the following conditions are met:</span></div>
+<div class="line"><span class="comment"> *  - Redistributions of source code must retain the above copyright</span></div>
+<div class="line"><span class="comment"> *    notice, this list of conditions and the following disclaimer.</span></div>
+<div class="line"><span class="comment"> *  - Redistributions in binary form must reproduce the above copyright</span></div>
+<div class="line"><span class="comment"> *    notice, this list of conditions and the following disclaimer in the</span></div>
+<div class="line"><span class="comment"> *    documentation and/or other materials provided with the distribution.</span></div>
+<div class="line"><span class="comment"> *  - Neither the name of ARM  nor the names of its contributors may be used</span></div>
+<div class="line"><span class="comment"> *    to endorse or promote products derived from this software without</span></div>
+<div class="line"><span class="comment"> *    specific prior written permission.</span></div>
+<div class="line"><span class="comment"> *</span></div>
+<div class="line"><span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot;</span></div>
+<div class="line"><span class="comment"> * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE</span></div>
+<div class="line"><span class="comment"> * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE</span></div>
+<div class="line"><span class="comment"> * ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE</span></div>
+<div class="line"><span class="comment"> * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR</span></div>
+<div class="line"><span class="comment"> * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF</span></div>
+<div class="line"><span class="comment"> * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS</span></div>
+<div class="line"><span class="comment"> * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div>
+<div class="line"><span class="comment"> * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)</span></div>
+<div class="line"><span class="comment"> * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE</span></div>
+<div class="line"><span class="comment"> * POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><span class="comment"> *---------------------------------------------------------------------------*/</span></div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#ifndef _CMSIS_OS_H</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define _CMSIS_OS_H</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osCMSIS identifies the CMSIS-RTOS API version.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osCMSIS           0x10002      </span><span class="comment">///&lt; API version (main [31:16] .sub [15:0])</span></div>
+<div class="line"><span class="comment"></span> </div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b osCMSIS_KERNEL identifies the underlying RTOS kernel and version number.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osCMSIS_KERNEL    0x10000          </span><span class="comment">///&lt; RTOS identification and version (main [31:16] .sub [15:0])</span></div>
+<div class="line"><span class="comment"></span> </div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osKernelSystemId shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osKernelSystemId &quot;KERNEL V1.00&quot;   </span><span class="comment">///&lt; RTOS identification string</span></div>
+<div class="line"><span class="comment"></span> </div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osFeature_xxx shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osFeature_MainThread   1       </span><span class="comment">///&lt; main thread      1=main can be thread, 0=not available</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_Pool         1       <span class="comment">///&lt; Memory Pools:    1=available, 0=not available</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_MailQ        1       <span class="comment">///&lt; Mail Queues:     1=available, 0=not available</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_MessageQ     1       <span class="comment">///&lt; Message Queues:  1=available, 0=not available</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_Signals      8       <span class="comment">///&lt; maximum number of Signal Flags available per thread</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_Semaphore    30      <span class="comment">///&lt; maximum count for \ref osSemaphoreCreate function</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_Wait         1       <span class="comment">///&lt; osWait function: 1=available, 0=not available</span></div>
+<div class="line"><span class="comment"></span>#define osFeature_SysTick      1       <span class="comment">///&lt; osKernelSysTick functions: 1=available, 0=not available</span></div>
+<div class="line"><span class="comment"></span> </div>
+<div class="line"><span class="preprocessor">#include &lt;stdint.h&gt;</span></div>
+<div class="line"><span class="preprocessor">#include &lt;stddef.h&gt;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#ifdef  __cplusplus</span></div>
+<div class="line"><span class="preprocessor"></span><span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span></div>
+<div class="line">{</div>
+<div class="line"><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">// ==== Enumeration, structures, defines ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Priority used for thread control.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osPriority shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">enum</span>  {</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81" title="priority: idle (lowest)">osPriorityIdle</a>          = -3,          <span class="comment">///&lt; priority: idle (lowest)</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4" title="priority: low">osPriorityLow</a>           = -2,          <span class="comment">///&lt; priority: low</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6" title="priority: below normal">osPriorityBelowNormal</a>   = -1,          <span class="comment">///&lt; priority: below normal</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>        =  0,          <span class="comment">///&lt; priority: normal (default)</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b" title="priority: above normal">osPriorityAboveNormal</a>   = +1,          <span class="comment">///&lt; priority: above normal</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2" title="priority: high">osPriorityHigh</a>          = +2,          <span class="comment">///&lt; priority: high</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af" title="priority: realtime (highest)">osPriorityRealtime</a>      = +3,          <span class="comment">///&lt; priority: realtime (highest)</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4" title="system cannot determine priority or thread has illegal priority">osPriorityError</a>         =  0x84        <span class="comment">///&lt; system cannot determine priority or thread has illegal priority</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Timeout value.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osWaitForever shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osWaitForever     0xFFFFFFFF     </span><span class="comment">///&lt; wait forever timeout value</span></div>
+<div class="line"><span class="comment"></span> </div>
+<div class="line"><span class="comment">/// Status code values returned by CMSIS-RTOS functions.</span></div>
+<div class="line"><span class="comment"></span><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osStatus shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">enum</span>  {</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>                    =     0,       <span class="comment">///&lt; function completed; no error or event occurred.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518" title="function completed; signal event occurred.">osEventSignal</a>           =  0x08,       <span class="comment">///&lt; function completed; signal event occurred.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342" title="function completed; message event occurred.">osEventMessage</a>          =  0x10,       <span class="comment">///&lt; function completed; message event occurred.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926" title="function completed; mail event occurred.">osEventMail</a>             =  0x20,       <span class="comment">///&lt; function completed; mail event occurred.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177" title="function completed; timeout occurred.">osEventTimeout</a>          =  0x40,       <span class="comment">///&lt; function completed; timeout occurred.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109" title="parameter error: a mandatory parameter was missing or specified an incorrect object.">osErrorParameter</a>        =  0x80,       <span class="comment">///&lt; parameter error: a mandatory parameter was missing or specified an incorrect object.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d" title="resource not available: a specified resource was not available.">osErrorResource</a>         =  0x81,       <span class="comment">///&lt; resource not available: a specified resource was not available.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467" title="resource not available within given time: a specified resource was not available within the timeout p...">osErrorTimeoutResource</a>  =  0xC1,       <span class="comment">///&lt; resource not available within given time: a specified resource was not available within the timeout period.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f" title="not allowed in ISR context: the function cannot be called from interrupt service routines.">osErrorISR</a>              =  0x82,       <span class="comment">///&lt; not allowed in ISR context: the function cannot be called from interrupt service routines.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65" title="function called multiple times from ISR with same object.">osErrorISRRecursive</a>     =  0x83,       <span class="comment">///&lt; function called multiple times from ISR with same object.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f" title="system cannot determine priority or thread has illegal priority.">osErrorPriority</a>         =  0x84,       <span class="comment">///&lt; system cannot determine priority or thread has illegal priority.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81" title="system is out of memory: it was impossible to allocate or reserve memory for the operation.">osErrorNoMemory</a>         =  0x85,       <span class="comment">///&lt; system is out of memory: it was impossible to allocate or reserve memory for the operation.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee" title="value of a parameter is out of range.">osErrorValue</a>            =  0x86,       <span class="comment">///&lt; value of a parameter is out of range.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc" title="unspecified RTOS error: run-time error but no other error message fits.">osErrorOS</a>               =  0xFF,       <span class="comment">///&lt; unspecified RTOS error: run-time error but no other error message fits.</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1" title="prevent from enum down-size compiler optimization.">os_status_reserved</a>      =  0x7FFFFFFF  <span class="comment">///&lt; prevent from enum down-size compiler optimization.</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>;</div>
+<div class="line"> </div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Timer type value for the timer definition.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b os_timer_type shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">enum</span>  {</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951" title="one-shot timer">osTimerOnce</a>             =     0,       <span class="comment">///&lt; one-shot timer</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>         =     1        <span class="comment">///&lt; repeating timer</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Entry point of a thread.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b os_pthread shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> void (*<a class="code" href="cmsis__os_8h.html#aee631e5ea1b700fc35695cc7bc574cf7" title="Entry point of a thread.">os_pthread</a>) (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Entry point of a timer call back function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b os_ptimer shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> void (*<a class="code" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065" title="Entry point of a timer call back function.">os_ptimer</a>) (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">// &gt;&gt;&gt; the following data type definitions may shall adapted towards a specific RTOS</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Thread ID identifies the thread (pointer to a thread control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_thread_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_thread_cb *<a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Timer ID identifies the timer (pointer to a timer control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_timer_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_timer_cb *<a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Mutex ID identifies the mutex (pointer to a mutex control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_mutex_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_mutex_cb *<a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Semaphore ID identifies the semaphore (pointer to a semaphore control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_semaphore_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_semaphore_cb *<a class="code" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84" title="Semaphore ID identifies the semaphore (pointer to a semaphore control block).">osSemaphoreId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Pool ID identifies the memory pool (pointer to a memory pool control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_pool_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_pool_cb *<a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Message ID identifies the message queue (pointer to a message queue control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_messageQ_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_messageQ_cb *<a class="code" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f" title="Message ID identifies the message queue (pointer to a message queue control block).">osMessageQId</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Mail ID identifies the mail queue (pointer to a mail queue control block).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_mailQ_cb is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_mailQ_cb *<a class="code" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5" title="Mail ID identifies the mail queue (pointer to a mail queue control block).">osMailQId</a>;</div>
+<div class="line"> </div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Thread Definition structure contains startup information of a thread.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_thread_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_thread_def  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#aee631e5ea1b700fc35695cc7bc574cf7" title="Entry point of a thread.">os_pthread</a>               pthread;    <span class="comment">///&lt; start address of thread function</span></div>
+<div class="line"><span class="comment"></span>  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a>             tpriority;    <span class="comment">///&lt; initial thread priority</span></div>
+<div class="line"><span class="comment"></span>  uint32_t               instances;    <span class="comment">///&lt; maximum number of instances of that thread function</span></div>
+<div class="line"><span class="comment"></span>  uint32_t               stacksize;    <span class="comment">///&lt; stack size requirements in bytes; 0 is default stack size</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_thread_def__t.html" title="Thread Definition structure contains startup information of a thread.">osThreadDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Timer Definition structure contains timer parameters.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_timer_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_timer_def  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065" title="Entry point of a timer call back function.">os_ptimer</a>                 ptimer;    <span class="comment">///&lt; start address of a timer function</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_timer_def__t.html" title="Timer Definition structure contains timer parameters.">osTimerDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Mutex Definition structure contains setup information for a mutex.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_mutex_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_mutex_def  {</div>
+<div class="line">  uint32_t                   dummy;    <span class="comment">///&lt; dummy value.</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_mutex_def__t.html" title="Mutex Definition structure contains setup information for a mutex.">osMutexDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Semaphore Definition structure contains setup information for a semaphore.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_semaphore_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_semaphore_def  {</div>
+<div class="line">  uint32_t                   dummy;    <span class="comment">///&lt; dummy value.</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_semaphore_def__t.html" title="Semaphore Definition structure contains setup information for a semaphore.">osSemaphoreDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Definition structure for memory block allocation.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_pool_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_pool_def  {</div>
+<div class="line">  uint32_t                 pool_sz;    <span class="comment">///&lt; number of items (elements) in the pool</span></div>
+<div class="line"><span class="comment"></span>  uint32_t                 item_sz;    <span class="comment">///&lt; size of an item</span></div>
+<div class="line"><span class="comment"></span>  <span class="keywordtype">void</span>                       *pool;    <span class="comment">///&lt; pointer to memory for pool</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_pool_def__t.html" title="Definition structure for memory block allocation.">osPoolDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Definition structure for message queue.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_messageQ_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_messageQ_def  {</div>
+<div class="line">  uint32_t                queue_sz;    <span class="comment">///&lt; number of elements in the queue</span></div>
+<div class="line"><span class="comment"></span>  uint32_t                 item_sz;    <span class="comment">///&lt; size of an item</span></div>
+<div class="line"><span class="comment"></span>  <span class="keywordtype">void</span>                       *pool;    <span class="comment">///&lt; memory array for messages</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_message_q_def__t.html" title="Definition structure for message queue.">osMessageQDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Definition structure for mail queue.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: \b os_mailQ_def is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct </span>os_mailQ_def  {</div>
+<div class="line">  uint32_t                queue_sz;    <span class="comment">///&lt; number of elements in the queue</span></div>
+<div class="line"><span class="comment"></span>  uint32_t                 item_sz;    <span class="comment">///&lt; size of an item</span></div>
+<div class="line"><span class="comment"></span>  <span class="keywordtype">void</span>                       *pool;    <span class="comment">///&lt; memory array for mail</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="structos_mail_q_def__t.html" title="Definition structure for mail queue.">osMailQDef_t</a>;</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Event structure contains detailed information about an event.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b os_event shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment">///       However the struct may be extended at the end.</span></div>
+<div class="line"><span class="comment"></span><span class="keyword">typedef</span> <span class="keyword">struct  </span>{</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>                 status;     <span class="comment">///&lt; status code: event or error information</span></div>
+<div class="line"><span class="comment"></span>  <span class="keyword">union  </span>{</div>
+<div class="line">    uint32_t                    v;     <span class="comment">///&lt; message as 32-bit value</span></div>
+<div class="line"><span class="comment"></span>    <span class="keywordtype">void</span>                       *p;     <span class="comment">///&lt; message or mail as void pointer</span></div>
+<div class="line"><span class="comment"></span>    int32_t               signals;     <span class="comment">///&lt; signal flags</span></div>
+<div class="line"><span class="comment"></span>  } value;                             <span class="comment">///&lt; event value</span></div>
+<div class="line"><span class="comment"></span>  <span class="keyword">union  </span>{</div>
+<div class="line">    osMailQId             mail_id;     <span class="comment">///&lt; mail id obtained by \ref osMailCreate</span></div>
+<div class="line"><span class="comment"></span>    osMessageQId       message_id;     <span class="comment">///&lt; message id obtained by \ref osMessageCreate</span></div>
+<div class="line"><span class="comment"></span>  } def;                               <span class="comment">///&lt; event definition</span></div>
+<div class="line"><span class="comment"></span>} <a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a>;</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Kernel Control Functions ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Initialize the RTOS Kernel for creating objects.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osKernelInitialize shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize</a> (<span class="keywordtype">void</span>);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Start the RTOS Kernel.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osKernelStart shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2" title="Start the RTOS Kernel.">osKernelStart</a> (<span class="keywordtype">void</span>);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Check if the RTOS kernel is already started.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osKernelRunning shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment">/// \return 0 RTOS is not started, 1 RTOS is started.</span></div>
+<div class="line"><span class="comment"></span>int32_t <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5" title="Check if the RTOS kernel is already started.">osKernelRunning</a>(<span class="keywordtype">void</span>);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_SysTick)  &amp;&amp;  (osFeature_SysTick != 0))     // System Timer available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Get the RTOS kernel system timer counter </span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osKernelSysTick shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment">/// \return RTOS kernel system timer as 32-bit value </span></div>
+<div class="line"><span class="comment"></span>uint32_t <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001" title="Get the RTOS kernel system timer counter.">osKernelSysTick</a> (<span class="keywordtype">void</span>);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// The RTOS kernel system timer frequency in Hz</span></div>
+<div class="line"><span class="comment">/// \note Reflects the system timer setting and is typically defined in a configuration file.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osKernelSysTickFrequency 100000000</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Convert a microseconds value to a RTOS kernel system timer value.</span></div>
+<div class="line"><span class="comment">/// \param         microsec     time value in microseconds.</span></div>
+<div class="line"><span class="comment">/// \return time value normalized to the \ref osKernelSysTickFrequency</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osKernelSysTickMicroSec(microsec) (((uint64_t)microsec * (osKernelSysTickFrequency)) / 1000000)</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"><span class="preprocessor">#endif    // System Timer available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"><span class="comment">//  ==== Thread Management ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create a Thread Definition with function, priority, and stack requirements.</span></div>
+<div class="line"><span class="comment">/// \param         name         name of the thread function.</span></div>
+<div class="line"><span class="comment">/// \param         priority     initial priority of the thread function.</span></div>
+<div class="line"><span class="comment">/// \param         instances    number of possible thread instances.</span></div>
+<div class="line"><span class="comment">/// \param         stacksz      stack size (in bytes) requirements for the thread function.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameters to \b osThreadDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osThreadDef(name, priority, instances, stacksz)  \</span></div>
+<div class="line"><span class="preprocessor">extern const osThreadDef_t os_thread_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osThreadDef(name, priority, instances, stacksz)  \</span></div>
+<div class="line"><span class="preprocessor">const osThreadDef_t os_thread_def_##name = \</span></div>
+<div class="line"><span class="preprocessor">{ (name), (priority), (instances), (stacksz)  }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Access a Thread definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the thread definition object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osThread shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osThread(name)  \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_thread_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create a thread and add it to Active Threads and set it to state READY.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_def    thread definition referenced with \ref osThread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     argument      pointer that is passed to the thread function as start argument.</span></div>
+<div class="line"><span class="comment">/// \return thread ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osThreadId <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_thread_def__t.html" title="Thread Definition structure contains startup information of a thread.">osThreadDef_t</a> *thread_def, <span class="keywordtype">void</span> *argument);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Return the thread ID of the current running thread.</span></div>
+<div class="line"><span class="comment">/// \return thread ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadGetId shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osThreadId <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7" title="Return the thread ID of the current running thread.">osThreadGetId</a> (<span class="keywordtype">void</span>);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Terminate execution of a thread and remove it from Active Threads.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id   thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadTerminate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab" title="Terminate execution of a thread and remove it from Active Threads.">osThreadTerminate</a> (osThreadId thread_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Pass control to next thread that is in state \b READY.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadYield shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233" title="Pass control to next thread that is in state READY.">osThreadYield</a> (<span class="keywordtype">void</span>);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Change priority of an active thread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.</span></div>
+<div class="line"><span class="comment">/// \param[in]     priority      new priority value for the thread function.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadSetPriority shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b" title="Change priority of an active thread.">osThreadSetPriority</a> (osThreadId thread_id, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> priority);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Get current priority of an active thread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.</span></div>
+<div class="line"><span class="comment">/// \return current priority value of the thread function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osThreadGetPriority shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9" title="Get current priority of an active thread.">osThreadGetPriority</a> (osThreadId thread_id);</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Generic Wait Functions ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Wait for Timeout (Time Delay).</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue &quot;time delay&quot; value</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a> (uint32_t millisec);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_Wait)  &amp;&amp;  (osFeature_Wait != 0))     // Generic Wait available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Wait for Signal, Message, Mail, or Timeout.</span></div>
+<div class="line"><span class="comment">/// \param[in] millisec          \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out</span></div>
+<div class="line"><span class="comment">/// \return event that contains signal, message, or mail information or error code.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osWait shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285" title="Wait for Signal, Message, Mail, or Timeout.">osWait</a> (uint32_t millisec);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#endif  // Generic Wait available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Timer Management Functions ====</span><span class="comment"></span></div>
+<div class="line"><span class="comment">/// Define a Timer object.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the timer object.</span></div>
+<div class="line"><span class="comment">/// \param         function      name of the timer call back function.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osTimerDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osTimerDef(name, function)  \</span></div>
+<div class="line"><span class="preprocessor">extern const osTimerDef_t os_timer_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osTimerDef(name, function)  \</span></div>
+<div class="line"><span class="preprocessor">const osTimerDef_t os_timer_def_##name = \</span></div>
+<div class="line"><span class="preprocessor">{ (function) }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Access a Timer definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the timer object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osTimer shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osTimer(name) \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_timer_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create a timer.</span></div>
+<div class="line"><span class="comment">/// \param[in]     timer_def     timer object referenced with \ref osTimer.</span></div>
+<div class="line"><span class="comment">/// \param[in]     type          osTimerOnce for one-shot or osTimerPeriodic for periodic behavior.</span></div>
+<div class="line"><span class="comment">/// \param[in]     argument      argument to the timer call back function.</span></div>
+<div class="line"><span class="comment">/// \return timer ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osTimerCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osTimerId <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_timer_def__t.html" title="Timer Definition structure contains timer parameters.">osTimerDef_t</a> *timer_def, <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> type, <span class="keywordtype">void</span> *argument);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Start or restart a timer.</span></div>
+<div class="line"><span class="comment">/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue &quot;time delay&quot; value of the timer.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osTimerStart shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a> (osTimerId timer_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Stop the timer.</span></div>
+<div class="line"><span class="comment">/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osTimerStop shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091" title="Stop the timer.">osTimerStop</a> (osTimerId timer_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Delete a timer that was created by \ref osTimerCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osTimerDelete shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf" title="Delete a timer that was created by osTimerCreate.">osTimerDelete</a> (osTimerId timer_id);</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Signal Management ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Set the specified Signal Flags of an active thread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.</span></div>
+<div class="line"><span class="comment">/// \param[in]     signals       specifies the signal flags of the thread that should be set.</span></div>
+<div class="line"><span class="comment">/// \return previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSignalSet shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>int32_t <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553" title="Set the specified Signal Flags of an active thread.">osSignalSet</a> (osThreadId thread_id, int32_t signals);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Clear the specified Signal Flags of an active thread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.</span></div>
+<div class="line"><span class="comment">/// \param[in]     signals       specifies the signal flags of the thread that shall be cleared.</span></div>
+<div class="line"><span class="comment">/// \return previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters or call from ISR.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSignalClear shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>int32_t <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6" title="Clear the specified Signal Flags of an active thread.">osSignalClear</a> (osThreadId thread_id, int32_t signals);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Wait for one or more Signal Flags to become signaled for the current \b RUNNING thread.</span></div>
+<div class="line"><span class="comment">/// \param[in]     signals       wait until all specified signal flags set or 0 for any single signal flag.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.</span></div>
+<div class="line"><span class="comment">/// \return event flag information or error code.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSignalWait shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9" title="Wait for one or more Signal Flags to become signaled for the current RUNNING thread.">osSignalWait</a> (int32_t signals, uint32_t millisec);</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Mutex Management ====</span></div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Define a Mutex.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the mutex object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMutexDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMutexDef(name)  \</span></div>
+<div class="line"><span class="preprocessor">extern const osMutexDef_t os_mutex_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMutexDef(name)  \</span></div>
+<div class="line"><span class="preprocessor">const osMutexDef_t os_mutex_def_##name = { 0 }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Access a Mutex definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the mutex object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMutex shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osMutex(name)  \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_mutex_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create and Initialize a Mutex object.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mutex_def     mutex definition referenced with \ref osMutex.</span></div>
+<div class="line"><span class="comment">/// \return mutex ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMutexCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osMutexId <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc" title="Create and Initialize a Mutex object.">osMutexCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_mutex_def__t.html" title="Mutex Definition structure contains setup information for a mutex.">osMutexDef_t</a> *mutex_def);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Wait until a Mutex becomes available.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMutexWait shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13" title="Wait until a Mutex becomes available.">osMutexWait</a> (osMutexId mutex_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Release a Mutex that was obtained by \ref osMutexWait.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMutexRelease shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1" title="Release a Mutex that was obtained by osMutexWait.">osMutexRelease</a> (osMutexId mutex_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Delete a Mutex that was created by \ref osMutexCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMutexDelete shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219" title="Delete a Mutex that was created by osMutexCreate.">osMutexDelete</a> (osMutexId mutex_id);</div>
+<div class="line"> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Semaphore Management Functions ====</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_Semaphore)  &amp;&amp;  (osFeature_Semaphore != 0))     // Semaphore available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Define a Semaphore object.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the semaphore object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osSemaphoreDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osSemaphoreDef(name)  \</span></div>
+<div class="line"><span class="preprocessor">extern const osSemaphoreDef_t os_semaphore_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osSemaphoreDef(name)  \</span></div>
+<div class="line"><span class="preprocessor">const osSemaphoreDef_t os_semaphore_def_##name = { 0 }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Access a Semaphore definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the semaphore object.</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osSemaphore shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osSemaphore(name)  \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_semaphore_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create and Initialize a Semaphore object used for managing resources.</span></div>
+<div class="line"><span class="comment">/// \param[in]     semaphore_def semaphore definition referenced with \ref osSemaphore.</span></div>
+<div class="line"><span class="comment">/// \param[in]     count         number of available resources.</span></div>
+<div class="line"><span class="comment">/// \return semaphore ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSemaphoreCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osSemaphoreId <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb" title="Create and Initialize a Semaphore object used for managing resources.">osSemaphoreCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_semaphore_def__t.html" title="Semaphore Definition structure contains setup information for a semaphore.">osSemaphoreDef_t</a> *semaphore_def, int32_t count);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Wait until a Semaphore token becomes available.</span></div>
+<div class="line"><span class="comment">/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.</span></div>
+<div class="line"><span class="comment">/// \return number of available tokens, or -1 in case of incorrect parameters.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSemaphoreWait shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>int32_t <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098" title="Wait until a Semaphore token becomes available.">osSemaphoreWait</a> (osSemaphoreId semaphore_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Release a Semaphore token.</span></div>
+<div class="line"><span class="comment">/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSemaphoreRelease shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0" title="Release a Semaphore token.">osSemaphoreRelease</a> (osSemaphoreId semaphore_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Delete a Semaphore that was created by \ref osSemaphoreCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osSemaphoreDelete shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595" title="Delete a Semaphore that was created by osSemaphoreCreate.">osSemaphoreDelete</a> (osSemaphoreId semaphore_id);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#endif     // Semaphore available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Memory Pool Management Functions ====</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_Pool)  &amp;&amp;  (osFeature_Pool != 0))  // Memory Pool Management available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Define a Memory Pool.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the memory pool.</span></div>
+<div class="line"><span class="comment">/// \param         no            maximum number of blocks (objects) in the memory pool.</span></div>
+<div class="line"><span class="comment">/// \param         type          data type of a single block (object).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osPoolDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osPoolDef(name, no, type)   \</span></div>
+<div class="line"><span class="preprocessor">extern const osPoolDef_t os_pool_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osPoolDef(name, no, type)   \</span></div>
+<div class="line"><span class="preprocessor">const osPoolDef_t os_pool_def_##name = \</span></div>
+<div class="line"><span class="preprocessor">{ (no), sizeof(type), NULL }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Access a Memory Pool definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the memory pool</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osPool shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osPool(name) \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_pool_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create and Initialize a memory pool.</span></div>
+<div class="line"><span class="comment">/// \param[in]     pool_def      memory pool definition referenced with \ref osPool.</span></div>
+<div class="line"><span class="comment">/// \return memory pool ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osPoolCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osPoolId <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_pool_def__t.html" title="Definition structure for memory block allocation.">osPoolDef_t</a> *pool_def);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Allocate a memory block from a memory pool.</span></div>
+<div class="line"><span class="comment">/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.</span></div>
+<div class="line"><span class="comment">/// \return address of the allocated memory block or NULL in case of no memory available.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osPoolAlloc shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keywordtype">void</span> *<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543" title="Allocate a memory block from a memory pool.">osPoolAlloc</a> (osPoolId pool_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Allocate a memory block from a memory pool and set memory block to zero.</span></div>
+<div class="line"><span class="comment">/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.</span></div>
+<div class="line"><span class="comment">/// \return address of the allocated memory block or NULL in case of no memory available.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osPoolCAlloc shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keywordtype">void</span> *<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a" title="Allocate a memory block from a memory pool and set memory block to zero.">osPoolCAlloc</a> (osPoolId pool_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Return an allocated memory block back to a specific memory pool.</span></div>
+<div class="line"><span class="comment">/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     block         address of the allocated memory block that is returned to the memory pool.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osPoolFree shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54" title="Return an allocated memory block back to a specific memory pool.">osPoolFree</a> (osPoolId pool_id, <span class="keywordtype">void</span> *block);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#endif   // Memory Pool Management available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Message Queue Management Functions ====</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_MessageQ)  &amp;&amp;  (osFeature_MessageQ != 0))     // Message Queues available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Create a Message Queue Definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the queue.</span></div>
+<div class="line"><span class="comment">/// \param         queue_sz      maximum number of messages in the queue.</span></div>
+<div class="line"><span class="comment">/// \param         type          data type of a single message element (for debugger).</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMessageQDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMessageQDef(name, queue_sz, type)   \</span></div>
+<div class="line"><span class="preprocessor">extern const osMessageQDef_t os_messageQ_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMessageQDef(name, queue_sz, type)   \</span></div>
+<div class="line"><span class="preprocessor">const osMessageQDef_t os_messageQ_def_##name = \</span></div>
+<div class="line"><span class="preprocessor">{ (queue_sz), sizeof (type)  }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Access a Message Queue Definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the queue</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMessageQ shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osMessageQ(name) \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_messageQ_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create and Initialize a Message Queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_def     queue definition referenced with \ref osMessageQ.</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID (obtained by \ref osThreadCreate or \ref osThreadGetId) or NULL.</span></div>
+<div class="line"><span class="comment">/// \return message queue ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMessageCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osMessageQId <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78" title="Create and Initialize a Message Queue.">osMessageCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_message_q_def__t.html" title="Definition structure for message queue.">osMessageQDef_t</a> *queue_def, osThreadId thread_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Put a Message to a Queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      message queue ID obtained with \ref osMessageCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     info          message information.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMessagePut shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d" title="Put a Message to a Queue.">osMessagePut</a> (osMessageQId queue_id, uint32_t info, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Get a Message or Wait for a Message from a Queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      message queue ID obtained with \ref osMessageCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.</span></div>
+<div class="line"><span class="comment">/// \return event information that includes status code.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMessageGet shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae" title="Get a Message or Wait for a Message from a Queue.">osMessageGet</a> (osMessageQId queue_id, uint32_t millisec);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#endif     // Message Queues available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//  ==== Mail Queue Management Functions ====</span></div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#if (defined (osFeature_MailQ)  &amp;&amp;  (osFeature_MailQ != 0))     // Mail Queues available</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Create a Mail Queue Definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the queue</span></div>
+<div class="line"><span class="comment">/// \param         queue_sz      maximum number of messages in queue</span></div>
+<div class="line"><span class="comment">/// \param         type          data type of a single message element</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMailQDef shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#if defined (osObjectsExternal)  // object is external</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMailQDef(name, queue_sz, type) \</span></div>
+<div class="line"><span class="preprocessor">extern const osMailQDef_t os_mailQ_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#else                            // define the object</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#define osMailQDef(name, queue_sz, type) \</span></div>
+<div class="line"><span class="preprocessor">const osMailQDef_t os_mailQ_def_##name =  \</span></div>
+<div class="line"><span class="preprocessor">{ (queue_sz), sizeof (type) }</span></div>
+<div class="line"><span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// \brief Access a Mail Queue Definition.</span></div>
+<div class="line"><span class="comment">/// \param         name          name of the queue</span></div>
+<div class="line"><span class="comment">/// \note CAN BE CHANGED: The parameter to \b osMailQ shall be consistent but the</span></div>
+<div class="line"><span class="comment">///       macro body is implementation specific in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="preprocessor">#define osMailQ(name)  \</span></div>
+<div class="line"><span class="preprocessor">&amp;os_mailQ_def_##name</span></div>
+<div class="line"><span class="preprocessor"></span> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Create and Initialize mail queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_def     reference to the mail queue definition obtain with \ref osMailQ</span></div>
+<div class="line"><span class="comment">/// \param[in]     thread_id     thread ID (obtained by \ref osThreadCreate or \ref osThreadGetId) or NULL.</span></div>
+<div class="line"><span class="comment">/// \return mail queue ID for reference by other functions or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailCreate shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span>osMailQId <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174" title="Create and Initialize mail queue.">osMailCreate</a> (<span class="keyword">const</span> <a class="code" href="structos_mail_q_def__t.html" title="Definition structure for mail queue.">osMailQDef_t</a> *queue_def, osThreadId thread_id);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Allocate a memory block from a mail.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out</span></div>
+<div class="line"><span class="comment">/// \return pointer to memory block that can be filled with mail or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailAlloc shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keywordtype">void</span> *<a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194" title="Allocate a memory block from a mail.">osMailAlloc</a> (osMailQId queue_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Allocate a memory block from a mail and set memory block to zero.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out</span></div>
+<div class="line"><span class="comment">/// \return pointer to memory block that can be filled with mail or NULL in case of error.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailCAlloc shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><span class="keywordtype">void</span> *<a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd" title="Allocate a memory block from a mail and set memory block to zero.">osMailCAlloc</a> (osMailQId queue_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Put a mail to a queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mail          memory block previously allocated with \ref osMailAlloc or \ref osMailCAlloc.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailPut shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02" title="Put a mail to a queue.">osMailPut</a> (osMailQId queue_id, <span class="keywordtype">void</span> *mail);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Get a mail from a queue.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out</span></div>
+<div class="line"><span class="comment">/// \return event that contains mail information or error code.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailGet shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd" title="Get a mail from a queue.">osMailGet</a> (osMailQId queue_id, uint32_t millisec);</div>
+<div class="line"> <span class="comment"></span></div>
+<div class="line"><span class="comment">/// Free a memory block from a mail.</span></div>
+<div class="line"><span class="comment">/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.</span></div>
+<div class="line"><span class="comment">/// \param[in]     mail          pointer to the memory block that was obtained with \ref osMailGet.</span></div>
+<div class="line"><span class="comment">/// \return status code that indicates the execution status of the function.</span></div>
+<div class="line"><span class="comment">/// \note MUST REMAIN UNCHANGED: \b osMailFree shall be consistent in every CMSIS-RTOS.</span></div>
+<div class="line"><span class="comment"></span><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc" title="Free a memory block from a mail.">osMailFree</a> (osMailQId queue_id, <span class="keywordtype">void</span> *mail);</div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#endif  // Mail Queues available</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"> </div>
+<div class="line"><span class="preprocessor">#ifdef  __cplusplus</span></div>
+<div class="line"><span class="preprocessor"></span>}</div>
+<div class="line"><span class="preprocessor">#endif</span></div>
+<div class="line"><span class="preprocessor"></span> </div>
+<div class="line"><span class="preprocessor">#endif  // _CMSIS_OS_H</span></div>
+</div><!-- fragment --> </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
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+<title>CMSIS-RTOS: RTOS Directory Reference</title>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-RTOS: Template Directory Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
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+/*
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+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4A6AAA;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td, .fieldtable tr {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow, .fieldtable tr.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memSeparator {
+        border-bottom: 1px solid #DEE4F0;
+        line-height: 1px;
+        margin: 0px;
+        padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4665A2;
+        white-space: nowrap;
+	font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4665A2;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+        display: table !important;
+        width: 100%;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A8B8D9;
+        border-left: 1px solid #A8B8D9;
+        border-right: 1px solid #A8B8D9;
+        padding: 6px 0px 6px 0px;
+        color: #253555;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A8B8D9;      
+        border-left: 1px solid #A8B8D9;      
+        border-right: 1px solid #A8B8D9; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+.paramname code {
+        line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #728DC1;
+        border-top:1px solid #5373B4;
+        border-left:1px solid #5373B4;
+        border-right:1px solid #C4CFE5;
+        border-bottom:1px solid #C4CFE5;
+	text-shadow: none;
+	color: white;
+	margin-right: 4px;
+	padding: 2px 3px;
+	border-radius: 3px;
+	font-size: 7pt;
+	white-space: nowrap;
+	vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view when not used as main index */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.entry a img {
+        border: none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	padding-top: 3px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3D578C;
+}
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #2A3D61;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #374F7F;
+	color: #FFFFFF;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        width: 100%;
+        margin-bottom: 10px;
+        border: 1px solid #A8B8D9;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        vertical-align: top;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A8B8D9;
+        width: 100%;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        font-size: 90%;
+        color: #253555;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A8B8D9;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	background-position: 0 -5px;
+	height:30px;
+	line-height:30px;
+	color:#8AA0CC;
+	border:solid 1px #C2CDE4;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#364D7C;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+	color: #283A5D;
+	font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+	text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+	text-decoration: none;        
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6884BD;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#364D7C;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	font-size: 8pt;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C4CFE5;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 10px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
+}
+
+dl.warning, dl.attention
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #FF0000;
+}
+
+dl.pre, dl.post, dl.invariant
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00D000;
+}
+
+dl.deprecated
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #505050;
+}
+
+dl.todo
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #00C0E0;
+}
+
+dl.test
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #3030E0;
+}
+
+dl.bug
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #C08050;
+}
+
+dl.section dd {
+	margin-bottom: 6px;
+}
+
+
+#projectlogo
+{
+	text-align: center;
+	vertical-align: bottom;
+	border-collapse: separate;
+}
+ 
+#projectlogo img
+{ 
+	border: 0px none;
+}
+ 
+#projectname
+{
+	font: 300% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 2px 0px;
+}
+    
+#projectbrief
+{
+	font: 120% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#projectnumber
+{
+	font: 50% Tahoma, Arial,sans-serif;
+	margin: 0px;
+	padding: 0px;
+}
+
+#titlearea
+{
+	padding: 0px;
+	margin: 0px;
+	width: 100%;
+	border-bottom: 1px solid #5373B4;
+}
+
+.image
+{
+        text-align: center;
+}
+
+.dotgraph
+{
+        text-align: center;
+}
+
+.mscgraph
+{
+        text-align: center;
+}
+
+.caption
+{
+	font-weight: bold;
+}
+
+div.zoom
+{
+	border: 1px solid #90A5CE;
+}
+
+dl.citelist {
+        margin-bottom:50px;
+}
+
+dl.citelist dt {
+        color:#334975;
+        float:left;
+        font-weight:bold;
+        margin-right:10px;
+        padding:5px;
+}
+
+dl.citelist dd {
+        margin:2px 0;
+        padding:5px 0;
+}
+
+div.toc {
+        padding: 14px 25px;
+        background-color: #F4F6FA;
+        border: 1px solid #D8DFEE;
+        border-radius: 7px 7px 7px 7px;
+        float: right;
+        height: auto;
+        margin: 0 20px 10px 10px;
+        width: 200px;
+}
+
+div.toc li {
+        background: url("bdwn.png") no-repeat scroll 0 5px transparent;
+        font: 10px/1.2 Verdana,DejaVu Sans,Geneva,sans-serif;
+        margin-top: 5px;
+        padding-left: 10px;
+        padding-top: 2px;
+}
+
+div.toc h3 {
+        font: bold 12px/1.2 Arial,FreeSans,sans-serif;
+	color: #4665A2;
+        border-bottom: 0 none;
+        margin: 0;
+}
+
+div.toc ul {
+        list-style: none outside none;
+        border: medium none;
+        padding: 0px;
+}       
+
+div.toc li.level1 {
+        margin-left: 0px;
+}
+
+div.toc li.level2 {
+        margin-left: 15px;
+}
+
+div.toc li.level3 {
+        margin-left: 30px;
+}
+
+div.toc li.level4 {
+        margin-left: 45px;
+}
+
+.inherit_header {
+        font-weight: bold;
+        color: gray;
+        cursor: pointer;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+.inherit_header td {
+        padding: 6px 0px 2px 5px;
+}
+
+.inherit {
+        display: none;
+}
+
+tr.heading h2 {
+        margin-top: 12px;
+        margin-bottom: 4px;
+}
+
+@media print
+{
+  #top { display: none; }
+  #side-nav { display: none; }
+  #nav-path { display: none; }
+  body { overflow:visible; }
+  h1, h2, h3, h4, h5, h6 { page-break-after: avoid; }
+  .summary { display: none; }
+  .memitem { page-break-inside: avoid; }
+  #doc-content
+  {
+    margin-left:0 !important;
+    height:auto !important;
+    width:auto !important;
+    overflow:inherit;
+    display:inline;
+  }
+}
+
diff --git a/Documentation/RTOS/html/doxygen.png b/Documentation/RTOS/html/doxygen.png
new file mode 100644
index 0000000..3ff17d8
--- /dev/null
+++ b/Documentation/RTOS/html/doxygen.png
Binary files differ
diff --git a/Documentation/RTOS/html/dynsections.js b/Documentation/RTOS/html/dynsections.js
new file mode 100644
index 0000000..116542f
--- /dev/null
+++ b/Documentation/RTOS/html/dynsections.js
@@ -0,0 +1,78 @@
+function toggleVisibility(linkObj)
+{
+ var base = $(linkObj).attr('id');
+ var summary = $('#'+base+'-summary');
+ var content = $('#'+base+'-content');
+ var trigger = $('#'+base+'-trigger');
+ var src=$(trigger).attr('src');
+ if (content.is(':visible')===true) {
+   content.hide();
+   summary.show();
+   $(linkObj).addClass('closed').removeClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-8)+'closed.png');
+ } else {
+   content.show();
+   summary.hide();
+   $(linkObj).removeClass('closed').addClass('opened');
+   $(trigger).attr('src',src.substring(0,src.length-10)+'open.png');
+ } 
+ return false;
+}
+
+function updateStripes()
+{
+  $('table.directory tr').
+       removeClass('even').filter(':visible:even').addClass('even');
+}
+function toggleLevel(level)
+{
+  $('table.directory tr').each(function(){ 
+    var l = this.id.split('_').length-1;
+    var i = $('#img'+this.id.substring(3));
+    var a = $('#arr'+this.id.substring(3));
+    if (l<level+1) {
+      i.attr('src','ftv2folderopen.png');
+      a.attr('src','ftv2mnode.png');
+      $(this).show();
+    } else if (l==level+1) {
+      i.attr('src','ftv2folderclosed.png');
+      a.attr('src','ftv2pnode.png');
+      $(this).show();
+    } else {
+      $(this).hide();
+    }
+  });
+  updateStripes();
+}
+function toggleFolder(id) 
+{
+  var n = $('[id^=row_'+id+']');
+  var i = $('[id^=img_'+id+']');
+  var a = $('[id^=arr_'+id+']');
+  var c = n.slice(1);
+  if (c.filter(':first').is(':visible')===true) {
+    i.attr('src','ftv2folderclosed.png');
+    a.attr('src','ftv2pnode.png');
+    c.hide();
+  } else {
+    i.attr('src','ftv2folderopen.png');
+    a.attr('src','ftv2mnode.png');
+    c.show();
+  }
+  updateStripes();
+}
+
+function toggleInherit(id)
+{
+  var rows = $('tr.inherit.'+id);
+  var img = $('tr.inherit_header.'+id+' img');
+  var src = $(img).attr('src');
+  if (rows.filter(':first').is(':visible')===true) {
+    rows.css('display','none');
+    $(img).attr('src',src.substring(0,src.length-8)+'closed.png');
+  } else {
+    rows.css('display','table-row'); // using show() causes jump in firefox
+    $(img).attr('src',src.substring(0,src.length-10)+'open.png');
+  }
+}
+
diff --git a/Documentation/RTOS/html/files.html b/Documentation/RTOS/html/files.html
new file mode 100644
index 0000000..943c0a3
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>File List</title>
+<title>CMSIS-RTOS: File List</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('files.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">File List</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all files with brief descriptions:</div><div class="directory">
+<table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><img src="ftv2doc.png" alt="*" width="24" height="22" /><a class="el" href="cmsis__os_8h.html" target="_self">cmsis_os.h</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields</title>
+<title>CMSIS-RTOS: Data Fields</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions.html','');});
+</script>
+<div id="doc-content">
+<div class="contents">
+<div class="textblock">Here is a list of all struct and union fields with links to the structures/unions they belong to:</div><ul>
+<li>def
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a596b6d55c3321db19239256bbe403df6">osEvent</a>
+</li>
+<li>dummy
+: <a class="el" href="structos_semaphore_def__t.html#a44b7a3baf02bac7ad707e8f2f5eca1ca">osSemaphoreDef_t</a>
+, <a class="el" href="structos_mutex_def__t.html#a44b7a3baf02bac7ad707e8f2f5eca1ca">osMutexDef_t</a>
+</li>
+<li>instances
+: <a class="el" href="structos_thread_def__t.html#aa4c4115851a098c0b87358ab6c025603">osThreadDef_t</a>
+</li>
+<li>item_sz
+: <a class="el" href="structos_mail_q_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osMailQDef_t</a>
+, <a class="el" href="structos_message_q_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osMessageQDef_t</a>
+, <a class="el" href="structos_pool_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osPoolDef_t</a>
+</li>
+<li>mail_id
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ac86175a4b1706bee596f3018322df26e">osEvent</a>
+</li>
+<li>message_id
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#af394cbe21dde7377974e63af38cd87b0">osEvent</a>
+</li>
+<li>p
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a117104b82864d3b23ec174af6d392709">osEvent</a>
+</li>
+<li>pool
+: <a class="el" href="structos_pool_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osPoolDef_t</a>
+, <a class="el" href="structos_mail_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osMailQDef_t</a>
+, <a class="el" href="structos_message_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osMessageQDef_t</a>
+</li>
+<li>pool_sz
+: <a class="el" href="structos_pool_def__t.html#ac112e786b2a234e0e45cb5bdbee53763">osPoolDef_t</a>
+</li>
+<li>pthread
+: <a class="el" href="structos_thread_def__t.html#ad3c9624ee214329fb34e71f544a6933e">osThreadDef_t</a>
+</li>
+<li>ptimer
+: <a class="el" href="structos_timer_def__t.html#a15773df83aba93f8e61f3737af5fae47">osTimerDef_t</a>
+</li>
+<li>queue_sz
+: <a class="el" href="structos_message_q_def__t.html#a8a83a3a8c0aa8057b13807d2a54077e0">osMessageQDef_t</a>
+, <a class="el" href="structos_mail_q_def__t.html#a8a83a3a8c0aa8057b13807d2a54077e0">osMailQDef_t</a>
+</li>
+<li>signals
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad0dda1bf7e74f1576261d493fba232b6">osEvent</a>
+</li>
+<li>stacksize
+: <a class="el" href="structos_thread_def__t.html#a950b7f81ad4711959517296e63bc79d1">osThreadDef_t</a>
+</li>
+<li>status
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3">osEvent</a>
+</li>
+<li>tpriority
+: <a class="el" href="structos_thread_def__t.html#a15da8f23c6fe684b70a73646ada685e7">osThreadDef_t</a>
+</li>
+<li>v
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a9e0a00edabf3b8a5dafff624fff7bbfc">osEvent</a>
+</li>
+<li>value
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f">osEvent</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/functions_vars.html b/Documentation/RTOS/html/functions_vars.html
new file mode 100644
index 0000000..aaa3ef2
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+++ b/Documentation/RTOS/html/functions_vars.html
@@ -0,0 +1,161 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Data Fields - Variables</title>
+<title>CMSIS-RTOS: Data Fields - Variables</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li class="current"><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_vars.html"><span>Variables</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('functions_vars.html','');});
+</script>
+<div id="doc-content">
+<div class="contents">
+&#160;<ul>
+<li>def
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a596b6d55c3321db19239256bbe403df6">osEvent</a>
+</li>
+<li>dummy
+: <a class="el" href="structos_semaphore_def__t.html#a44b7a3baf02bac7ad707e8f2f5eca1ca">osSemaphoreDef_t</a>
+, <a class="el" href="structos_mutex_def__t.html#a44b7a3baf02bac7ad707e8f2f5eca1ca">osMutexDef_t</a>
+</li>
+<li>instances
+: <a class="el" href="structos_thread_def__t.html#aa4c4115851a098c0b87358ab6c025603">osThreadDef_t</a>
+</li>
+<li>item_sz
+: <a class="el" href="structos_mail_q_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osMailQDef_t</a>
+, <a class="el" href="structos_message_q_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osMessageQDef_t</a>
+, <a class="el" href="structos_pool_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">osPoolDef_t</a>
+</li>
+<li>mail_id
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ac86175a4b1706bee596f3018322df26e">osEvent</a>
+</li>
+<li>message_id
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#af394cbe21dde7377974e63af38cd87b0">osEvent</a>
+</li>
+<li>p
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a117104b82864d3b23ec174af6d392709">osEvent</a>
+</li>
+<li>pool
+: <a class="el" href="structos_pool_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osPoolDef_t</a>
+, <a class="el" href="structos_mail_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osMailQDef_t</a>
+, <a class="el" href="structos_message_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">osMessageQDef_t</a>
+</li>
+<li>pool_sz
+: <a class="el" href="structos_pool_def__t.html#ac112e786b2a234e0e45cb5bdbee53763">osPoolDef_t</a>
+</li>
+<li>pthread
+: <a class="el" href="structos_thread_def__t.html#ad3c9624ee214329fb34e71f544a6933e">osThreadDef_t</a>
+</li>
+<li>ptimer
+: <a class="el" href="structos_timer_def__t.html#a15773df83aba93f8e61f3737af5fae47">osTimerDef_t</a>
+</li>
+<li>queue_sz
+: <a class="el" href="structos_message_q_def__t.html#a8a83a3a8c0aa8057b13807d2a54077e0">osMessageQDef_t</a>
+, <a class="el" href="structos_mail_q_def__t.html#a8a83a3a8c0aa8057b13807d2a54077e0">osMailQDef_t</a>
+</li>
+<li>signals
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad0dda1bf7e74f1576261d493fba232b6">osEvent</a>
+</li>
+<li>stacksize
+: <a class="el" href="structos_thread_def__t.html#a950b7f81ad4711959517296e63bc79d1">osThreadDef_t</a>
+</li>
+<li>status
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3">osEvent</a>
+</li>
+<li>tpriority
+: <a class="el" href="structos_thread_def__t.html#a15da8f23c6fe684b70a73646ada685e7">osThreadDef_t</a>
+</li>
+<li>v
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a9e0a00edabf3b8a5dafff624fff7bbfc">osEvent</a>
+</li>
+<li>value
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f">osEvent</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/globals.html b/Documentation/RTOS/html/globals.html
new file mode 100644
index 0000000..484e7b3
--- /dev/null
+++ b/Documentation/RTOS/html/globals.html
@@ -0,0 +1,423 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-RTOS: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index_o"><span>o</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals.html','');});
+</script>
+<div id="doc-content">
+<div class="contents">
+<div class="textblock">Here is a list of all functions, variables, defines, enums, and typedefs with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>os_pthread
+: <a class="el" href="cmsis__os_8h.html#aee631e5ea1b700fc35695cc7bc574cf7">cmsis_os.h</a>
+</li>
+<li>os_ptimer
+: <a class="el" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065">cmsis_os.h</a>
+</li>
+<li>os_status_reserved
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1">cmsis_os.h</a>
+</li>
+<li>os_timer_type
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">cmsis_os.txt</a>
+, <a class="el" href="cmsis__os_8h.html#adac860eb9e1b4b0619271e6595ed83d9">cmsis_os.h</a>
+</li>
+<li>osCMSIS
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga702196bacccbb978620c736b209387f1">cmsis_os.h</a>
+</li>
+<li>osCMSIS_KERNEL
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gab78dce646fabec479c5f34bc5175b7de">cmsis_os.h</a>
+</li>
+<li>osDelay()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">cmsis_os.h</a>
+</li>
+<li>osErrorISR
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f">cmsis_os.h</a>
+</li>
+<li>osErrorISRRecursive
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65">cmsis_os.h</a>
+</li>
+<li>osErrorNoMemory
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81">cmsis_os.h</a>
+</li>
+<li>osErrorOS
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc">cmsis_os.h</a>
+</li>
+<li>osErrorParameter
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109">cmsis_os.h</a>
+</li>
+<li>osErrorPriority
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f">cmsis_os.h</a>
+</li>
+<li>osErrorResource
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d">cmsis_os.h</a>
+</li>
+<li>osErrorTimeoutResource
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467">cmsis_os.h</a>
+</li>
+<li>osErrorValue
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee">cmsis_os.h</a>
+</li>
+<li>osEventMail
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926">cmsis_os.h</a>
+</li>
+<li>osEventMessage
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342">cmsis_os.h</a>
+</li>
+<li>osEventSignal
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518">cmsis_os.h</a>
+</li>
+<li>osEventTimeout
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177">cmsis_os.h</a>
+</li>
+<li>osFeature_MailQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">cmsis_os.h</a>
+</li>
+<li>osFeature_MainThread
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696">cmsis_os.h</a>
+</li>
+<li>osFeature_MessageQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203">cmsis_os.h</a>
+</li>
+<li>osFeature_Pool
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa">cmsis_os.h</a>
+</li>
+<li>osFeature_Semaphore
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a">cmsis_os.h</a>
+</li>
+<li>osFeature_Signals
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga01edde265710d883b6e237d34a6ef4a6">cmsis_os.h</a>
+</li>
+<li>osFeature_SysTick
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891">cmsis_os.h</a>
+</li>
+<li>osFeature_Wait
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">cmsis_os.h</a>
+</li>
+<li>osKernelInitialize()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e">cmsis_os.h</a>
+</li>
+<li>osKernelRunning()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5">cmsis_os.h</a>
+</li>
+<li>osKernelStart()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">cmsis_os.h</a>
+</li>
+<li>osKernelSystemId
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga47cf03658f01cdffca688e9096b58289">cmsis_os.h</a>
+</li>
+<li>osKernelSysTick()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">cmsis_os.h</a>
+</li>
+<li>osKernelSysTickFrequency
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">cmsis_os.h</a>
+</li>
+<li>osKernelSysTickMicroSec
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">cmsis_os.h</a>
+</li>
+<li>osMailAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">cmsis_os.h</a>
+</li>
+<li>osMailCAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">cmsis_os.h</a>
+</li>
+<li>osMailCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">cmsis_os.h</a>
+</li>
+<li>osMailFree()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc">cmsis_os.h</a>
+</li>
+<li>osMailGet()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">cmsis_os.h</a>
+</li>
+<li>osMailPut()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02">cmsis_os.h</a>
+</li>
+<li>osMailQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">cmsis_os.h</a>
+</li>
+<li>osMailQDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b">cmsis_os.h</a>
+</li>
+<li>osMailQId
+: <a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">cmsis_os.h</a>
+</li>
+<li>osMessageCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">cmsis_os.h</a>
+</li>
+<li>osMessageGet()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">cmsis_os.h</a>
+</li>
+<li>osMessagePut()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">cmsis_os.h</a>
+</li>
+<li>osMessageQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">cmsis_os.h</a>
+</li>
+<li>osMessageQDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326">cmsis_os.h</a>
+</li>
+<li>osMessageQId
+: <a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">cmsis_os.h</a>
+</li>
+<li>osMutex
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">cmsis_os.h</a>
+</li>
+<li>osMutexCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">cmsis_os.h</a>
+</li>
+<li>osMutexDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3">cmsis_os.h</a>
+</li>
+<li>osMutexDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">cmsis_os.h</a>
+</li>
+<li>osMutexId
+: <a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">cmsis_os.h</a>
+</li>
+<li>osMutexRelease()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">cmsis_os.h</a>
+</li>
+<li>osMutexWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">cmsis_os.h</a>
+</li>
+<li>osOK
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f">cmsis_os.h</a>
+</li>
+<li>osPool
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">cmsis_os.h</a>
+</li>
+<li>osPoolAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">cmsis_os.h</a>
+</li>
+<li>osPoolCAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">cmsis_os.h</a>
+</li>
+<li>osPoolCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">cmsis_os.h</a>
+</li>
+<li>osPoolDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b">cmsis_os.h</a>
+</li>
+<li>osPoolFree()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">cmsis_os.h</a>
+</li>
+<li>osPoolId
+: <a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">cmsis_os.h</a>
+</li>
+<li>osPriority
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">cmsis_os.txt</a>
+, <a class="el" href="cmsis__os_8h.html#a7f2b42f1983b9107775ec2a1c69a849a">cmsis_os.h</a>
+</li>
+<li>osPriorityAboveNormal
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b">cmsis_os.h</a>
+</li>
+<li>osPriorityBelowNormal
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6">cmsis_os.h</a>
+</li>
+<li>osPriorityError
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4">cmsis_os.h</a>
+</li>
+<li>osPriorityHigh
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2">cmsis_os.h</a>
+</li>
+<li>osPriorityIdle
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81">cmsis_os.h</a>
+</li>
+<li>osPriorityLow
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4">cmsis_os.h</a>
+</li>
+<li>osPriorityNormal
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1">cmsis_os.h</a>
+</li>
+<li>osPriorityRealtime
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af">cmsis_os.h</a>
+</li>
+<li>osSemaphore
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">cmsis_os.h</a>
+</li>
+<li>osSemaphoreCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">cmsis_os.h</a>
+</li>
+<li>osSemaphoreDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b">cmsis_os.h</a>
+</li>
+<li>osSemaphoreDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">cmsis_os.h</a>
+</li>
+<li>osSemaphoreId
+: <a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">cmsis_os.h</a>
+</li>
+<li>osSemaphoreRelease()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">cmsis_os.h</a>
+</li>
+<li>osSemaphoreWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">cmsis_os.h</a>
+</li>
+<li>osSignalClear()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">cmsis_os.h</a>
+</li>
+<li>osSignalSet()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">cmsis_os.h</a>
+</li>
+<li>osSignalWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">cmsis_os.h</a>
+</li>
+<li>osStatus
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">cmsis_os.txt</a>
+, <a class="el" href="cmsis__os_8h.html#ae2e091fefc4c767117727bd5aba4d99e">cmsis_os.h</a>
+</li>
+<li>osThread
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">cmsis_os.h</a>
+</li>
+<li>osThreadCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">cmsis_os.h</a>
+</li>
+<li>osThreadDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f">cmsis_os.h</a>
+</li>
+<li>osThreadGetId()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">cmsis_os.h</a>
+</li>
+<li>osThreadGetPriority()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9">cmsis_os.h</a>
+</li>
+<li>osThreadId
+: <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">cmsis_os.h</a>
+</li>
+<li>osThreadSetPriority()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">cmsis_os.h</a>
+</li>
+<li>osThreadTerminate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">cmsis_os.h</a>
+</li>
+<li>osThreadYield()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">cmsis_os.h</a>
+</li>
+<li>osTimer
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678">cmsis_os.h</a>
+</li>
+<li>osTimerCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">cmsis_os.h</a>
+</li>
+<li>osTimerDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492">cmsis_os.h</a>
+</li>
+<li>osTimerDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">cmsis_os.h</a>
+</li>
+<li>osTimerId
+: <a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">cmsis_os.h</a>
+</li>
+<li>osTimerOnce
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951">cmsis_os.h</a>
+</li>
+<li>osTimerPeriodic
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788">cmsis_os.h</a>
+</li>
+<li>osTimerStart()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">cmsis_os.h</a>
+</li>
+<li>osTimerStop()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">cmsis_os.h</a>
+</li>
+<li>osWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">cmsis_os.h</a>
+</li>
+<li>osWaitForever
+: <a class="el" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb">cmsis_os.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/globals_defs.html b/Documentation/RTOS/html/globals_defs.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/RTOS/html/globals_defs.html
@@ -0,0 +1,182 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-RTOS: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li class="current"><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_defs.html','');});
+</script>
+<div id="doc-content">
+<div class="contents">
+&#160;<ul>
+<li>osCMSIS
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga702196bacccbb978620c736b209387f1">cmsis_os.h</a>
+</li>
+<li>osCMSIS_KERNEL
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gab78dce646fabec479c5f34bc5175b7de">cmsis_os.h</a>
+</li>
+<li>osFeature_MailQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">cmsis_os.h</a>
+</li>
+<li>osFeature_MainThread
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696">cmsis_os.h</a>
+</li>
+<li>osFeature_MessageQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203">cmsis_os.h</a>
+</li>
+<li>osFeature_Pool
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa">cmsis_os.h</a>
+</li>
+<li>osFeature_Semaphore
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a">cmsis_os.h</a>
+</li>
+<li>osFeature_Signals
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga01edde265710d883b6e237d34a6ef4a6">cmsis_os.h</a>
+</li>
+<li>osFeature_SysTick
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891">cmsis_os.h</a>
+</li>
+<li>osFeature_Wait
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">cmsis_os.h</a>
+</li>
+<li>osKernelSystemId
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga47cf03658f01cdffca688e9096b58289">cmsis_os.h</a>
+</li>
+<li>osKernelSysTickFrequency
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">cmsis_os.h</a>
+</li>
+<li>osKernelSysTickMicroSec
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">cmsis_os.h</a>
+</li>
+<li>osMailQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">cmsis_os.h</a>
+</li>
+<li>osMailQDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b">cmsis_os.h</a>
+</li>
+<li>osMessageQ
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">cmsis_os.h</a>
+</li>
+<li>osMessageQDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326">cmsis_os.h</a>
+</li>
+<li>osMutex
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">cmsis_os.h</a>
+</li>
+<li>osMutexDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3">cmsis_os.h</a>
+</li>
+<li>osPool
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">cmsis_os.h</a>
+</li>
+<li>osPoolDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b">cmsis_os.h</a>
+</li>
+<li>osSemaphore
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">cmsis_os.h</a>
+</li>
+<li>osSemaphoreDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b">cmsis_os.h</a>
+</li>
+<li>osThread
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">cmsis_os.h</a>
+</li>
+<li>osThreadDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f">cmsis_os.h</a>
+</li>
+<li>osTimer
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678">cmsis_os.h</a>
+</li>
+<li>osTimerDef
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492">cmsis_os.h</a>
+</li>
+<li>osWaitForever
+: <a class="el" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb">cmsis_os.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/globals_enum.html b/Documentation/RTOS/html/globals_enum.html
new file mode 100644
index 0000000..a07156b
--- /dev/null
+++ b/Documentation/RTOS/html/globals_enum.html
@@ -0,0 +1,110 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-RTOS: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+</li>
+<li>osMessageCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">cmsis_os.h</a>
+</li>
+<li>osMessageGet()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">cmsis_os.h</a>
+</li>
+<li>osMessagePut()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">cmsis_os.h</a>
+</li>
+<li>osMutexCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">cmsis_os.h</a>
+</li>
+<li>osMutexDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">cmsis_os.h</a>
+</li>
+<li>osMutexRelease()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">cmsis_os.h</a>
+</li>
+<li>osMutexWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">cmsis_os.h</a>
+</li>
+<li>osPoolAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">cmsis_os.h</a>
+</li>
+<li>osPoolCAlloc()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">cmsis_os.h</a>
+</li>
+<li>osPoolCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">cmsis_os.h</a>
+</li>
+<li>osPoolFree()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">cmsis_os.h</a>
+</li>
+<li>osSemaphoreCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">cmsis_os.h</a>
+</li>
+<li>osSemaphoreDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">cmsis_os.h</a>
+</li>
+<li>osSemaphoreRelease()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">cmsis_os.h</a>
+</li>
+<li>osSemaphoreWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">cmsis_os.h</a>
+</li>
+<li>osSignalClear()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">cmsis_os.h</a>
+</li>
+<li>osSignalSet()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">cmsis_os.h</a>
+</li>
+<li>osSignalWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">cmsis_os.h</a>
+</li>
+<li>osThreadCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">cmsis_os.h</a>
+</li>
+<li>osThreadGetId()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">cmsis_os.h</a>
+</li>
+<li>osThreadGetPriority()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9">cmsis_os.h</a>
+</li>
+<li>osThreadSetPriority()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">cmsis_os.h</a>
+</li>
+<li>osThreadTerminate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">cmsis_os.h</a>
+</li>
+<li>osThreadYield()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">cmsis_os.h</a>
+</li>
+<li>osTimerCreate()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">cmsis_os.h</a>
+</li>
+<li>osTimerDelete()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">cmsis_os.h</a>
+</li>
+<li>osTimerStart()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">cmsis_os.h</a>
+</li>
+<li>osTimerStop()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">cmsis_os.h</a>
+</li>
+<li>osWait()
+: <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">cmsis_os.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/globals_type.html b/Documentation/RTOS/html/globals_type.html
new file mode 100644
index 0000000..32d4d3d
--- /dev/null
+++ b/Documentation/RTOS/html/globals_type.html
@@ -0,0 +1,125 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Globals</title>
+<title>CMSIS-RTOS: Globals</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="globals_type.html"><span>Typedefs</span></a></li>
+      <li><a href="globals_enum.html"><span>Enumerations</span></a></li>
+      <li><a href="globals_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('globals_type.html','');});
+</script>
+<div id="doc-content">
+<div class="contents">
+&#160;<ul>
+<li>os_pthread
+: <a class="el" href="cmsis__os_8h.html#aee631e5ea1b700fc35695cc7bc574cf7">cmsis_os.h</a>
+</li>
+<li>os_ptimer
+: <a class="el" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065">cmsis_os.h</a>
+</li>
+<li>osMailQId
+: <a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">cmsis_os.h</a>
+</li>
+<li>osMessageQId
+: <a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">cmsis_os.h</a>
+</li>
+<li>osMutexId
+: <a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">cmsis_os.h</a>
+</li>
+<li>osPoolId
+: <a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">cmsis_os.h</a>
+</li>
+<li>osSemaphoreId
+: <a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">cmsis_os.h</a>
+</li>
+<li>osThreadId
+: <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">cmsis_os.h</a>
+</li>
+<li>osTimerId
+: <a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">cmsis_os.h</a>
+</li>
+</ul>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.html
new file mode 100644
index 0000000..fec85f6
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.html
@@ -0,0 +1,122 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>CMSIS-RTOS API</title>
+<title>CMSIS-RTOS: CMSIS-RTOS API</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#groups">Content</a>  </div>
+  <div class="headertitle">
+<div class="title">CMSIS-RTOS API</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This section describes the CMSIS-RTOS API.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="groups"></a>
+Content</h2></td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___kernel_ctrl"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html">Kernel Information and Control</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___kernel_ctrl"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provide version/system information and start the RTOS Kernel. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___thread_mgmt"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html">Thread Management</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___thread_mgmt"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define, create, and control thread functions. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___wait"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html">Generic Wait Functions</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___wait"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for a time period or unspecified events. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___timer_mgmt"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html">Timer Management</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___timer_mgmt"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and control timer and timer callback functions. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___inter_thread"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___inter_thread"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for inter-thread communication. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___definitions"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html">Generic Data Types and Definitions</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___definitions"><td class="mdescLeft">&#160;</td><td class="mdescRight">Data Type Definitions used by the CMSIS-RTOS API functions. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___status"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___status"><td class="mdescLeft">&#160;</td><td class="mdescRight">Status and Error Codes returned by CMSIS-RTOS API functions. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The CMSIS-RTOS is a generic API layer that interfaces to an existing RTOS kernel. </p>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.js
new file mode 100644
index 0000000..3df2489
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s.js
@@ -0,0 +1,10 @@
+var group___c_m_s_i_s___r_t_o_s =
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Generic Data Types and Definitions</title>
+<title>CMSIS-RTOS: Generic Data Types and Definitions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+		<!--
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
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+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#nested-classes">Data Structures</a>  </div>
+  <div class="headertitle">
+<div class="title">Generic Data Types and Definitions</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Data Type Definitions used by the CMSIS-RTOS API functions.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Data Structures</h2></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Data Type section lists all data types that are used to exchange information with CMSIS-RTOS functions. </p>
+<hr/><h2 class="groupheader">Data Structure Documentation</h2>
+<a name="structos_event" id="structos_event"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">struct osEvent</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+<tr><td colspan="2"><h3>Data Fields</h3></td></tr>
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+<tr class="separator:ad477a289f1f03ac45407b64268d707d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0b9f8fd3645f01d8cb09cae82add2d7f"><td class="memItemLeft" >union {</td></tr>
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+<tr class="memdesc:a9e0a00edabf3b8a5dafff624fff7bbfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">message as 32-bit value  <a href="#a9e0a00edabf3b8a5dafff624fff7bbfc"></a><br/></td></tr>
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+<tr class="memdesc:ad0dda1bf7e74f1576261d493fba232b6"><td class="mdescLeft">&#160;</td><td class="mdescRight">signal flags  <a href="#ad0dda1bf7e74f1576261d493fba232b6"></a><br/></td></tr>
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+<tr class="memitem:a0b9f8fd3645f01d8cb09cae82add2d7f"><td class="memItemLeft" valign="top">}&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f">value</a></td></tr>
+<tr class="memdesc:a0b9f8fd3645f01d8cb09cae82add2d7f"><td class="mdescLeft">&#160;</td><td class="mdescRight">event value  <a href="#a0b9f8fd3645f01d8cb09cae82add2d7f"></a><br/></td></tr>
+<tr class="separator:a0b9f8fd3645f01d8cb09cae82add2d7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
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+<a class="anchor" id="ac86175a4b1706bee596f3018322df26e"></a>
+<div class="memitem">
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+          <td class="memname"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> mail_id</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="af394cbe21dde7377974e63af38cd87b0"></a>
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+          <td class="memname"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> message_id</td>
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+        <tr>
+          <td class="memname">void* p</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+</div>
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+<div class="memitem">
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+</div>
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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--- /dev/null
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-RTOS: Inter-Thread Communication and Resource Sharing</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
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+  <div class="headertitle">
+<div class="title">Inter-Thread Communication and Resource Sharing</div>  </div>
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+<p>Functions for inter-thread communication.  
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+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___signal_mgmt"><td class="mdescLeft">&#160;</td><td class="mdescRight">Synchronize threads using signals. <br/></td></tr>
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+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___message"><td class="mdescLeft">&#160;</td><td class="mdescRight">Exchange messages between threads in a FIFO-like operation. <br/></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___mutex_mgmt"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html">Mutexes</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:group___c_m_s_i_s___r_t_o_s___semaphore_mgmt"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html">Semaphores</a></td></tr>
+<tr class="memdesc:group___c_m_s_i_s___r_t_o_s___semaphore_mgmt"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access shared resources simultaneously from different threads. <br/></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>In most applications, threads need to <b>communicate</b> <b>with</b> <b>each</b> <b>other</b> or <b>access</b> <b>shared</b> <b>resources</b> together. There are many ways to exchange data between threads, for example using shared data, polling loops and message passing.</p>
+<p>Many resources in a microcontroller can be considered as <b>serially-reusable</b>. This means that they can be used repeatedly by different threads, but only by <b>one</b> <b>thread</b> <b>at</b> <b>a</b> <b>time</b> (for example communication peripherals such as <b>UARTs</b>, <b>memory</b>, and <b>files</b> that need to be modified).</p>
+<p>The CMSIS-RTOS API provides different means to pass messages between threads to make inter-thread communication more efficient. Also, resource sharing is inherently supported. The following methods are available to the user: </p>
+<h2>Inter-Thread Communication</h2>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html">Signal Events</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html">Message Queue</a></li>
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+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html">Mail Queue</a></li>
+</ul>
+<h2>Resource Sharing</h2>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html">Mutexes</a></li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html">Semaphores</a> </li>
+</ul>
+</div><!-- contents -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Kernel Information and Control</title>
+<title>CMSIS-RTOS: Kernel Information and Control</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
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+      <li><a href="modules.html"><span>Reference</span></a></li>
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+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Kernel Information and Control</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Provide version/system information and start the RTOS Kernel.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
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+<tr class="memitem:ga22f7d235bc9f783933bd5a981fd79696"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696">osFeature_MainThread</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:ga22f7d235bc9f783933bd5a981fd79696"><td class="mdescLeft">&#160;</td><td class="mdescRight">main thread 1=main can be thread, 0=not available  <a href="#ga22f7d235bc9f783933bd5a981fd79696"></a><br/></td></tr>
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+<tr class="memdesc:gae554ec16c23c5b7d65affade2a351891"><td class="mdescLeft">&#160;</td><td class="mdescRight">osKernelSysTick functions: 1=available, 0=not available  <a href="#gae554ec16c23c5b7d65affade2a351891"></a><br/></td></tr>
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+<tr class="memdesc:ga702196bacccbb978620c736b209387f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">API version (main [31:16] .sub [15:0])  <a href="#ga702196bacccbb978620c736b209387f1"></a><br/></td></tr>
+<tr class="separator:ga702196bacccbb978620c736b209387f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab78dce646fabec479c5f34bc5175b7de"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gab78dce646fabec479c5f34bc5175b7de">osCMSIS_KERNEL</a>&#160;&#160;&#160;0x10000</td></tr>
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+<tr class="separator:gab78dce646fabec479c5f34bc5175b7de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga47cf03658f01cdffca688e9096b58289"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga47cf03658f01cdffca688e9096b58289">osKernelSystemId</a>&#160;&#160;&#160;&quot;KERNEL V1.00&quot;</td></tr>
+<tr class="memdesc:ga47cf03658f01cdffca688e9096b58289"><td class="mdescLeft">&#160;</td><td class="mdescRight">RTOS identification string.  <a href="#ga47cf03658f01cdffca688e9096b58289"></a><br/></td></tr>
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+<tr class="separator:gae12c190af42d7310d8006d64f4ed5a88"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="memdesc:ga53d078a801022e202e8115c083ece68e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the RTOS Kernel for creating objects.  <a href="#ga53d078a801022e202e8115c083ece68e"></a><br/></td></tr>
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+<tr class="memdesc:gaab668ffd2ea76bb0a77ab0ab385eaef2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Start the RTOS Kernel.  <a href="#gaab668ffd2ea76bb0a77ab0ab385eaef2"></a><br/></td></tr>
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+<tr class="memitem:ga3b571de44cd3094c643247a7397f86b5"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5">osKernelRunning</a> (void)</td></tr>
+<tr class="memdesc:ga3b571de44cd3094c643247a7397f86b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Check if the RTOS kernel is already started.  <a href="#ga3b571de44cd3094c643247a7397f86b5"></a><br/></td></tr>
+<tr class="separator:ga3b571de44cd3094c643247a7397f86b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad0262e4688e95d1e9038afd9bcc16001"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">osKernelSysTick</a> (void)</td></tr>
+<tr class="memdesc:gad0262e4688e95d1e9038afd9bcc16001"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get the RTOS kernel system timer counter.  <a href="#gad0262e4688e95d1e9038afd9bcc16001"></a><br/></td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Kernel Information and Control function group allows to:</p>
+<ul>
+<li>obtain information about the system and the underlying kernel.</li>
+<li>obtain version information about the CMSIS-RTOS API.</li>
+<li>initialize of the RTOS kernel for creating objects.</li>
+<li>start the RTOS kernel and thread switching.</li>
+<li>check the execution status of the RTOS kernel.</li>
+</ul>
+<p>The function <b>main</b> is a special thread function that may be started at system initialization. In this case it has the initial priority <em>osPriorityNormal</em>.</p>
+<p>When reaching <b>main</b>, it is necessary to:</p>
+<ol type="1">
+<li>Call <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize()</a> to initialize the CMSIS-RTOS Kernel</li>
+<li>Setup device peripherals and create other RTOS objects using the <b>os*Create</b> functions.</li>
+<li>Start the Kernel and begin thread switching by calling <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2" title="Start the RTOS Kernel.">osKernelStart()</a>.</li>
+</ol>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>) {</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize</a> ();                    <span class="comment">// initialize CMSIS-RTOS</span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// initialize peripherals here</span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// create &#39;thread&#39; functions that start executing,</span></div>
+<div class="line">  <span class="comment">// example: tid_name = osThreadCreate (osThread(name), NULL);</span></div>
+<div class="line"> </div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2" title="Start the RTOS Kernel.">osKernelStart</a> ();                         <span class="comment">// start thread execution </span></div>
+<div class="line">}</div>
+</div><!-- fragment --> <h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga702196bacccbb978620c736b209387f1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osCMSIS&#160;&#160;&#160;0x10002</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Version information of the CMSIS-RTOS API whereby major version is in bits [31:16] and sub version in bits [15:0]. The value 0x10000 represents version 1.00.</p>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osCMSIS</b> identifies the CMSIS-RTOS API version. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab78dce646fabec479c5f34bc5175b7de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osCMSIS_KERNEL&#160;&#160;&#160;0x10000</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Identifies the underlying RTOS kernel and version number. The actual name of that define depends on the RTOS Kernel used in the implementation. For example, <b>osCMSIS_FreeRTOS</b> identifies the FreeRTOS kernel and the value indicates the version number of that kernel whereby the major version is in bits [31:16] and sub version in bits [15:0]. The value 0x10000 represents version 1.00.</p>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>osCMSIS_KERNEL</b> identifies the underlying RTOS kernel and version number. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga22f7d235bc9f783933bd5a981fd79696"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_MainThread&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support to start thread execution with the function 'main'.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696">osFeature_MainThread</a> is 1 the RTOS offers to start with 'main'. The RTOS kernel is in this case already started.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696">osFeature_MainThread</a> is 0 the RTOS requires explicit start with <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a>.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osFeature_xxx</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae554ec16c23c5b7d65affade2a351891"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_SysTick&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may provide access to the RTOS kernel system timer.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891">osFeature_SysTick</a> is 1 access to the RTOS kernel system timer is provided with <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">osKernelSysTick</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a>, and <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">osKernelSysTickMicroSec</a>.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891">osFeature_SysTick</a> is 0 access to the RTOS kernel system timer is not implemented. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="ga47cf03658f01cdffca688e9096b58289"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osKernelSystemId&#160;&#160;&#160;&quot;KERNEL V1.00&quot;</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Defines a string that identifies the underlying RTOS Kernel and provides version information. The length of that string is limited to 21 bytes. A valid identification string is for example, <b>"FreeRTOS V1.00"</b>.</p>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osKernelSystemId</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9e0954d52722673e2031233a2ab99960"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osKernelSysTickFrequency&#160;&#160;&#160;100000000</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Specifies the frequency of the Kernel SysTick timer in Hz. The value is typically use to scale a time value and is for example used in <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">osKernelSysTickMicroSec</a>.</p>
+<dl class="section see"><dt>See Also</dt><dd><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001" title="Get the RTOS kernel system timer counter.">osKernelSysTick</a></dd></dl>
+<dl class="section note"><dt>Note</dt><dd>Reflects the system timer setting and is typically defined in a configuration file. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gae12c190af42d7310d8006d64f4ed5a88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osKernelSysTickMicroSec</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">microsec</td><td>)</td>
+          <td>&#160;&#160;&#160;(((uint64_t)microsec * (<a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a>)) / 1000000)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Allows you to scale a microsecond value to the frequency of the Kernel SysTick timer. This macro is typically used to check for short timeouts in polling loops.</p>
+<dl class="section see"><dt>See Also</dt><dd><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001" title="Get the RTOS kernel system timer counter.">osKernelSysTick</a></dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">microsec</td><td>time value in microseconds. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>time value normalized to the <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a> </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga53d078a801022e202e8115c083ece68e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osKernelInitialize </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osKernelInitialize</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Initialize of the RTOS Kernel to allow peripheral setup and creation of other RTOS objects with the functions:</p>
+<ul>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> : Create a thread function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a> : Define attributes of the timer callback function.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a> : Define and initialize a mutex.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> : Define and initialize a semaphore.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a> : Define and initialize a fix-size memory pool.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a> : Define and initialize a message queue.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a> : Define and initialize a mail queue with fix-size memory blocks.</li>
+</ul>
+<p>The RTOS kernel does not start thread switching until the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a> is called.</p>
+<dl class="section note"><dt>Note</dt><dd>In case that the RTOS Kernel starts thread execution with the function <em>main</em> the function osKernelInitialize stops thread switching. This allows you to setup the system to a defined state before thread switching is resumed with <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <span class="keywordflow">if</span> (!<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5" title="Check if the RTOS kernel is already started.">osKernelRunning</a> ())  {                    <span class="comment">// if kernel is not running, initialize the kernel</span></div>
+<div class="line">    <span class="keywordflow">if</span> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize</a> () != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {        <span class="comment">// check osStatus for other possible valid values</span></div>
+<div class="line">      <span class="comment">// exit with an error message</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga3b571de44cd3094c643247a7397f86b5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t osKernelRunning </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osKernelRunning</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+<dl class="section return"><dt>Returns</dt><dd>0 RTOS is not started, 1 RTOS is started.</dd></dl>
+<p>Identifies if the RTOS kernel is started. For systems with the option to start the <em>main</em> function as a thread this allows you to identify that the RTOS kernel is already running.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>) {                                <span class="comment">// program execution starts here</span></div>
+<div class="line">  <span class="keywordflow">if</span> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5" title="Check if the RTOS kernel is already started.">osKernelRunning</a> ())  {                    </div>
+<div class="line">    :                                            <span class="comment">// main is already a thread function</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gaab668ffd2ea76bb0a77ab0ab385eaef2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osKernelStart </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osKernelStart</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Start the RTOS Kernel and begin thread switching.</p>
+<dl class="section note"><dt>Note</dt><dd>When the CMSIS-RTOS starts thread execution with the function <em>main</em> this function resumes thread switching. The <em>main</em> thread will continue executing after <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a>.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the RTOS kernel has been successfully started.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">int</span> main (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <span class="keywordflow">if</span> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e" title="Initialize the RTOS Kernel for creating objects.">osKernelInitialize</a> () != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {          <span class="comment">// check osStatus for other possible valid values</span></div>
+<div class="line">    <span class="comment">// exit with an error message</span></div>
+<div class="line">  }</div>
+<div class="line"> </div>
+<div class="line">  <span class="keywordflow">if</span> (!<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5" title="Check if the RTOS kernel is already started.">osKernelRunning</a> ())  {                    <span class="comment">// is the kernel running ?</span></div>
+<div class="line">    <span class="keywordflow">if</span> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2" title="Start the RTOS Kernel.">osKernelStart</a> () != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {             <span class="comment">// start the kernel</span></div>
+<div class="line">                                                 <span class="comment">// kernel could not be started</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gad0262e4688e95d1e9038afd9bcc16001"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t osKernelSysTick </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osKernelSysTick</b> shall be consistent in every CMSIS-RTOS. </dd></dl>
+<dl class="section return"><dt>Returns</dt><dd>RTOS kernel system timer as 32-bit value</dd></dl>
+<p>Get the value of the Kernel SysTick timer for time comparison. The value is a rolling 32-bit counter that is typically composed of the kernel system interrupt timer value and an counter that counts these interrupts.</p>
+<p>This function allows the implementation of timeout checks. These are for example required when checking for a busy status in a device or peripheral initialization routine.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">void</span> SetupDevice (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  uint32_t tick;</div>
+<div class="line">  </div>
+<div class="line">  tick = <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001" title="Get the RTOS kernel system timer counter.">osKernelSysTick</a>();                      <span class="comment">// get start value of the Kernel system tick</span></div>
+<div class="line">  Device.Setup ();                               <span class="comment">// initialize a device or peripheral</span></div>
+<div class="line">  <span class="keywordflow">do</span> {                                           <span class="comment">// poll device busy status for 100 microseconds</span></div>
+<div class="line">    <span class="keywordflow">if</span> (!Device.Busy) <span class="keywordflow">break</span>;                     <span class="comment">// check if device is correctly initialized</span></div>
+<div class="line">  } <span class="keywordflow">while</span> ((<a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001" title="Get the RTOS kernel system timer counter.">osKernelSysTick</a>() - tick) &lt; <a class="code" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88" title="Convert a microseconds value to a RTOS kernel system timer value.">osKernelSysTickMicroSec</a>(100));  </div>
+<div class="line">  <span class="keywordflow">if</span> (Device.Busy)  {              </div>
+<div class="line">    ;                                            <span class="comment">// in case device still busy, signal error</span></div>
+<div class="line">  }</div>
+<div class="line">                                                 <span class="comment">// start interacting with device</span></div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+	</li>
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+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___kernel_ctrl.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___kernel_ctrl.js
new file mode 100644
index 0000000..50eddf6
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___kernel_ctrl.js
@@ -0,0 +1,14 @@
+var group___c_m_s_i_s___r_t_o_s___kernel_ctrl =
+[
+    [ "osCMSIS", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga702196bacccbb978620c736b209387f1", null ],
+    [ "osCMSIS_KERNEL", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gab78dce646fabec479c5f34bc5175b7de", null ],
+    [ "osFeature_MainThread", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696", null ],
+    [ "osFeature_SysTick", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae554ec16c23c5b7d65affade2a351891", null ],
+    [ "osKernelSystemId", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga47cf03658f01cdffca688e9096b58289", null ],
+    [ "osKernelSysTickFrequency", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960", null ],
+    [ "osKernelSysTickMicroSec", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88", null ],
+    [ "osKernelInitialize", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e", null ],
+    [ "osKernelRunning", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga3b571de44cd3094c643247a7397f86b5", null ],
+    [ "osKernelStart", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2", null ],
+    [ "osKernelSysTick", "group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.html
new file mode 100644
index 0000000..a28161e
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.html
@@ -0,0 +1,594 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Mail Queue</title>
+<title>CMSIS-RTOS: Mail Queue</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___mail.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Mail Queue</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Exchange data between threads using a queue of memory blocks.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:gaceb2e0071ce160d153047f2eac1aca8e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">osFeature_MailQ</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:gaceb2e0071ce160d153047f2eac1aca8e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Mail Queues: 1=available, 0=not available.  <a href="#gaceb2e0071ce160d153047f2eac1aca8e"></a><br/></td></tr>
+<tr class="separator:gaceb2e0071ce160d153047f2eac1aca8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga58d712b16c0c6668059f509386d1e55b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b">osMailQDef</a>(name, queue_sz, type)</td></tr>
+<tr class="memdesc:ga58d712b16c0c6668059f509386d1e55b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Mail Queue Definition.  <a href="#ga58d712b16c0c6668059f509386d1e55b"></a><br/></td></tr>
+<tr class="separator:ga58d712b16c0c6668059f509386d1e55b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">osMailQ</a>(name)&#160;&#160;&#160;&amp;os_mailQ_def_##name</td></tr>
+<tr class="memdesc:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Mail Queue Definition.  <a href="#gad2deeb66d51ade54e63d8f87ff2ec9d2"></a><br/></td></tr>
+<tr class="separator:gad2deeb66d51ade54e63d8f87ff2ec9d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaa177e7fe5820dd70d8c9e46ded131174"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a> (const <a class="el" href="structos_mail_q_def__t.html">osMailQDef_t</a> *queue_def, <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaa177e7fe5820dd70d8c9e46ded131174"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize mail queue.  <a href="#gaa177e7fe5820dd70d8c9e46ded131174"></a><br/></td></tr>
+<tr class="separator:gaa177e7fe5820dd70d8c9e46ded131174"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gadf5ce811bd6a56e617e902a1db6c2194"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">osMailAlloc</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gadf5ce811bd6a56e617e902a1db6c2194"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a mail.  <a href="#gadf5ce811bd6a56e617e902a1db6c2194"></a><br/></td></tr>
+<tr class="separator:gadf5ce811bd6a56e617e902a1db6c2194"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">osMailCAlloc</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a mail and set memory block to zero.  <a href="#ga8fde74f6fe5b9e88f75cc5eb8f2124fd"></a><br/></td></tr>
+<tr class="separator:ga8fde74f6fe5b9e88f75cc5eb8f2124fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga485ef6f81854ebda8ffbce4832181e02"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02">osMailPut</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, void *mail)</td></tr>
+<tr class="memdesc:ga485ef6f81854ebda8ffbce4832181e02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Put a mail to a queue.  <a href="#ga485ef6f81854ebda8ffbce4832181e02"></a><br/></td></tr>
+<tr class="separator:ga485ef6f81854ebda8ffbce4832181e02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">osMailGet</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get a mail from a queue.  <a href="#gac6ad7e6e7d6c4a80e60da22c57a42ccd"></a><br/></td></tr>
+<tr class="separator:gac6ad7e6e7d6c4a80e60da22c57a42ccd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc">osMailFree</a> (<a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> queue_id, void *mail)</td></tr>
+<tr class="memdesc:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free a memory block from a mail.  <a href="#ga27c1060cf21393f96b4fd1ed1c0167cc"></a><br/></td></tr>
+<tr class="separator:ga27c1060cf21393f96b4fd1ed1c0167cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>A <b>mail</b> <b>queue</b> resembles a <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html">Message Queue</a>, but the data that is being transferred consists of memory blocks that need to be allocated (before putting data in) and freed (after taking data out). The mail queue uses a <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html">Memory Pool</a> to create formatted memory blocks and passes pointers to these blocks in a message queue. This allows the data to stay in an allocated memory block while only a pointer is moved between the separate threads. This is an advantage over <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html">messages</a> that can transfer only a 32-bit value or a pointer. Using the mail queue functions, you can control, send, receive, or wait for mail.</p>
+<div class="image">
+<img src="MailQueue.png" alt="MailQueue.png"/>
+<div class="caption">
+CMSIS-RTOS Mail Queue</div></div>
+ <h2>Working with Mail Queues</h2>
+<p>Follow these steps to create and use a mail queue:</p>
+<ol type="1">
+<li>Declare a data structure that combines a number of elements: <div class="fragment"><div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint32_t length;</div>
+<div class="line">  uint32_t width;</div>
+<div class="line">  uint32_t height;</div>
+<div class="line">  uint32_t weight;</div>
+<div class="line">} properties_t;</div>
+</div><!-- fragment --></li>
+<li>Declare a mail queue made up of these objects: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b" title="Create a Mail Queue Definition.">osMailQDef</a> (object_pool_q, 10, properties_t);  <span class="comment">// Declare mail queue</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5" title="Mail ID identifies the mail queue (pointer to a mail queue control block).">osMailQId</a>  (object_pool_q_id);                 <span class="comment">// Mail queue ID</span></div>
+</div><!-- fragment --></li>
+<li>Then, create the mail pool in a thread: <div class="fragment"><div class="line">object_pool_q_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174" title="Create and Initialize mail queue.">osMailCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2" title="Access a Mail Queue Definition.">osMailQ</a>(object_pool_q), NULL);</div>
+</div><!-- fragment --></li>
+<li>Allocate the mail queue within a thread and fill it with data: <div class="fragment"><div class="line">properties_t *object_data;</div>
+<div class="line">*object_data = (properties_t *) <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194" title="Allocate a memory block from a mail.">osMailAlloc</a>(object_pool_q_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+<div class="line"> </div>
+<div class="line">object_data-&gt;length = 100;</div>
+<div class="line">object_data-&gt;width = 10;</div>
+<div class="line">object_data-&gt;height = 23;</div>
+<div class="line">object_data-&gt;weight = 1000;</div>
+</div><!-- fragment --></li>
+<li>Pass the pointer to the mail queue to another thread: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02" title="Put a mail to a queue.">osMailPut</a>(object_pool_q_id, object_data);</div>
+</div><!-- fragment --></li>
+<li>Access the data in another thread: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <span class="keyword">event</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd" title="Get a mail from a queue.">osMailGet</a>(properties_q_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+<div class="line">properties_t *received = (properties_t *)event.value.p;       <span class="comment">// &quot;.p&quot; indicates that the message is a pointer</span></div>
+<div class="line">my_length(received-&gt;length);</div>
+</div><!-- fragment --></li>
+<li>Once the data has been used, the memory block must be freed so that the memory pool can be reused <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc" title="Free a memory block from a mail.">osMailFree</a>(object_pool_q_id, received);</div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="gaceb2e0071ce160d153047f2eac1aca8e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_MailQ&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support mail queues.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">osFeature_MailQ</a> is 1 mail queues are supported.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">osFeature_MailQ</a> is 0 no mail queues are supported. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="gad2deeb66d51ade54e63d8f87ff2ec9d2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMailQ</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_mailQ_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to the mail queue definition for the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the queue </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMailQ</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga58d712b16c0c6668059f509386d1e55b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMailQDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">queue_sz, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">type&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define the attributes of a mail queue that can by the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a> using <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">osMailQ</a>.</p>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>thread</em> registers the receiving thread for a mail and is needed for the general <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> function to deliver the mail.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the queue </td></tr>
+    <tr><td class="paramname">queue_sz</td><td>maximum number of messages in queue </td></tr>
+    <tr><td class="paramname">type</td><td>data type of a single message element </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMailQDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gadf5ce811bd6a56e617e902a1db6c2194"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void * osMailAlloc </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>mail queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pointer to memory block that can be filled with mail or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailAlloc</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Allocate a memory block from the mail queue that is filled with the mail information.</p>
+<p>The argument <em>queue_id</em> specifies a mail queue identifier that is obtain with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a mail slot to become available. While the system waits the tread calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a mail slot can be allocated.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>millisec</em> must be 0 for using this function in an ISR. </dd>
+<dd>
+<a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p>A NULL pointer is returned when no memory slot can be obtained or <em>queue</em> specifies an illegal parameter. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga8fde74f6fe5b9e88f75cc5eb8f2124fd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void * osMailCAlloc </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>mail queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>pointer to memory block that can be filled with mail or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailCAlloc</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Allocate a memory block from the mail queue that is filled with the mail information. The memory block returned is cleared.</p>
+<p>The argument <em>queue_id</em> specifies a mail queue identifier that is obtain with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a mail slot to become available. While the system waits the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a mail slot can be allocated.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>millisec</em> must be 0 for using this function in an ISR. </dd>
+<dd>
+<a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p>A NULL pointer is returned when no memory block can be obtained or <em>queue</em> specifies an illegal parameter. </p>
+
+</div>
+</div>
+<a class="anchor" id="gaa177e7fe5820dd70d8c9e46ded131174"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a> osMailCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_mail_q_def__t.html">osMailQDef_t</a> *&#160;</td>
+          <td class="paramname"><em>queue_def</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_def</td><td>reference to the mail queue definition obtain with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2">osMailQ</a> </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID (obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>) or NULL. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>mail queue ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Initialize and create a mail queue.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread1;                          <span class="comment">// ID for thread 1</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread2;                          <span class="comment">// ID for thread 2</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{                                 <span class="comment">// Mail object structure</span></div>
+<div class="line">  <span class="keywordtype">float</span>    voltage;                              <span class="comment">// AD result of measured voltage</span></div>
+<div class="line">  <span class="keywordtype">float</span>    current;                              <span class="comment">// AD result of measured current</span></div>
+<div class="line">  <span class="keywordtype">int</span>      counter;                              <span class="comment">// A counter value</span></div>
+<div class="line">} T_MEAS;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b" title="Create a Mail Queue Definition.">osMailQDef</a>(mail, 16, T_MEAS);                    <span class="comment">// Define mail queue</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5" title="Mail ID identifies the mail queue (pointer to a mail queue control block).">osMailQId</a>  mail;</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> send_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);         <span class="comment">// forward reference</span></div>
+<div class="line"><span class="keywordtype">void</span> recv_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(send_thread, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);     <span class="comment">// thread definitions</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(recv_thread, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 2000);</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//  Thread 1: Send thread</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> send_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  T_MEAS *mptr;</div>
+<div class="line"> </div>
+<div class="line">  mptr = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194" title="Allocate a memory block from a mail.">osMailAlloc</a>(mail, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);       <span class="comment">// Allocate memory</span></div>
+<div class="line">  mptr-&gt;voltage = 223.72;                        <span class="comment">// Set the mail content</span></div>
+<div class="line">  mptr-&gt;current = 17.54;</div>
+<div class="line">  mptr-&gt;counter = 120786;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02" title="Put a mail to a queue.">osMailPut</a>(mail, mptr);                         <span class="comment">// Send Mail</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a>(100);</div>
+<div class="line">   </div>
+<div class="line">  mptr = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194" title="Allocate a memory block from a mail.">osMailAlloc</a>(mail, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);       <span class="comment">// Allocate memory</span></div>
+<div class="line">  mptr-&gt;voltage = 227.23;                        <span class="comment">// Prepare 2nd mail</span></div>
+<div class="line">  mptr-&gt;current = 12.41;</div>
+<div class="line">  mptr-&gt;counter = 170823;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02" title="Put a mail to a queue.">osMailPut</a>(mail, mptr);                         <span class="comment">// Send Mail</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233" title="Pass control to next thread that is in state READY.">osThreadYield</a>();                               <span class="comment">// Cooperative multitasking</span></div>
+<div class="line">                                                 <span class="comment">// We are done here, exit this thread</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//  Thread 2: Receive thread</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> recv_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  T_MEAS  *rptr;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a>  evt;</div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">for</span> (;;) {</div>
+<div class="line">    evt = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd" title="Get a mail from a queue.">osMailGet</a>(mail, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);        <span class="comment">// wait for mail</span></div>
+<div class="line">    <span class="keywordflow">if</span> (evt.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3" title="status code: event or error information">status</a> == <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926" title="function completed; mail event occurred.">osEventMail</a>) {</div>
+<div class="line">      rptr = evt.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f" title="event value">value</a>.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a117104b82864d3b23ec174af6d392709" title="message or mail as void pointer">p</a>;</div>
+<div class="line">      printf (<span class="stringliteral">&quot;\nVoltage: %.2f V\n&quot;</span>, rptr-&gt;voltage);</div>
+<div class="line">      printf (<span class="stringliteral">&quot;Current: %.2f A\n&quot;</span>, rptr-&gt;current);</div>
+<div class="line">      printf (<span class="stringliteral">&quot;Number of cycles: %d\n&quot;</span>, rptr-&gt;counter);</div>
+<div class="line">      <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc" title="Free a memory block from a mail.">osMailFree</a>(mail, rptr);                    <span class="comment">// free memory allocated for mail</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> StartApplication (<span class="keywordtype">void</span>) {</div>
+<div class="line">  mail = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174" title="Create and Initialize mail queue.">osMailCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2" title="Access a Mail Queue Definition.">osMailQ</a>(mail), NULL);      <span class="comment">// create mail queue</span></div>
+<div class="line"> </div>
+<div class="line">  tid_thread1 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(send_thread), NULL);</div>
+<div class="line">  tid_thread2 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(recv_thread), NULL);</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga27c1060cf21393f96b4fd1ed1c0167cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMailFree </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>mail</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>mail queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mail</td><td>pointer to the memory block that was obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd">osMailGet</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailFree</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Free the memory block specified by <em>mail</em> and return it to the mail queue.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the <em>mail</em> block is released.</li>
+<li><em>osErrorValue:</em> <em>mail</em> block does not belong to the mail queue pool.</li>
+<li><em>osErrorParameter:</em> the value to the parameter <em>queue_id</em> is incorrect. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="gac6ad7e6e7d6c4a80e60da22c57a42ccd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a> osMailGet </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>mail queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>event that contains mail information or error code. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailGet</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Suspend the execution of the current <b>RUNNING</b> thread until a mail arrives. When a mail is already in the queue, the function returns instantly with the mail information.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a mail to arrive. While the system waits the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a mail arrives.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>millisec</em> must be 0 for using this function in an ISR. </dd>
+<dd>
+<a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> no mail is available in the queue and no timeout was specified</li>
+<li><em>osEventTimeout:</em> no mail has arrived during the given timeout period.</li>
+<li><em>osEventMail:</em> mail received, <em>value.p</em> contains the pointer to mail content.</li>
+<li><em>osErrorParameter:</em> a parameter is invalid or outside of a permitted range. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="ga485ef6f81854ebda8ffbce4832181e02"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMailPut </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a1dac049fb7725a8af8b26c71cbb373b5">osMailQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>mail</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>mail queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174">osMailCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">mail</td><td>memory block previously allocated with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194">osMailAlloc</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd">osMailCAlloc</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMailPut</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Put the memory block specified with <em>mail</em> into the mail queue specified by <em>queue</em>.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the message is put into the queue.</li>
+<li><em>osErrorValue:</em> <em>mail</em> was previously not allocated as memory slot.</li>
+<li><em>osErrorParameter:</em> a parameter is invalid or outside of a permitted range. </li>
+</ul>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.js
new file mode 100644
index 0000000..72ce801
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mail.js
@@ -0,0 +1,12 @@
+var group___c_m_s_i_s___r_t_o_s___mail =
+[
+    [ "osFeature_MailQ", "group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e", null ],
+    [ "osMailQ", "group___c_m_s_i_s___r_t_o_s___mail.html#gad2deeb66d51ade54e63d8f87ff2ec9d2", null ],
+    [ "osMailQDef", "group___c_m_s_i_s___r_t_o_s___mail.html#ga58d712b16c0c6668059f509386d1e55b", null ],
+    [ "osMailAlloc", "group___c_m_s_i_s___r_t_o_s___mail.html#gadf5ce811bd6a56e617e902a1db6c2194", null ],
+    [ "osMailCAlloc", "group___c_m_s_i_s___r_t_o_s___mail.html#ga8fde74f6fe5b9e88f75cc5eb8f2124fd", null ],
+    [ "osMailCreate", "group___c_m_s_i_s___r_t_o_s___mail.html#gaa177e7fe5820dd70d8c9e46ded131174", null ],
+    [ "osMailFree", "group___c_m_s_i_s___r_t_o_s___mail.html#ga27c1060cf21393f96b4fd1ed1c0167cc", null ],
+    [ "osMailGet", "group___c_m_s_i_s___r_t_o_s___mail.html#gac6ad7e6e7d6c4a80e60da22c57a42ccd", null ],
+    [ "osMailPut", "group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___message.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___message.html
new file mode 100644
index 0000000..336fd47
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___message.html
@@ -0,0 +1,451 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Message Queue</title>
+<title>CMSIS-RTOS: Message Queue</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___message.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Message Queue</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Exchange messages between threads in a FIFO-like operation.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga479a6561f859e3d4818e25708593d203"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203">osFeature_MessageQ</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:ga479a6561f859e3d4818e25708593d203"><td class="mdescLeft">&#160;</td><td class="mdescRight">Message Queues: 1=available, 0=not available.  <a href="#ga479a6561f859e3d4818e25708593d203"></a><br/></td></tr>
+<tr class="separator:ga479a6561f859e3d4818e25708593d203"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac9a6a6276c12609793e7701afcc82326"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326">osMessageQDef</a>(name, queue_sz, type)</td></tr>
+<tr class="memdesc:gac9a6a6276c12609793e7701afcc82326"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Message Queue Definition.  <a href="#gac9a6a6276c12609793e7701afcc82326"></a><br/></td></tr>
+<tr class="separator:gac9a6a6276c12609793e7701afcc82326"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">osMessageQ</a>(name)&#160;&#160;&#160;&amp;os_messageQ_def_##name</td></tr>
+<tr class="memdesc:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Message Queue Definition.  <a href="#ga2d446a0b4bb90bf05d6f92eedeaabc97"></a><br/></td></tr>
+<tr class="separator:ga2d446a0b4bb90bf05d6f92eedeaabc97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaf3b9345cf426304d46565152bc26fb78"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a> (const <a class="el" href="structos_message_q_def__t.html">osMessageQDef_t</a> *queue_def, <a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaf3b9345cf426304d46565152bc26fb78"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Message Queue.  <a href="#gaf3b9345cf426304d46565152bc26fb78"></a><br/></td></tr>
+<tr class="separator:gaf3b9345cf426304d46565152bc26fb78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d">osMessagePut</a> (<a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> queue_id, uint32_t info, uint32_t millisec)</td></tr>
+<tr class="memdesc:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Put a Message to a Queue.  <a href="#gac0dcf462fc92de8ffaba6cc004514a6d"></a><br/></td></tr>
+<tr class="separator:gac0dcf462fc92de8ffaba6cc004514a6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae">osMessageGet</a> (<a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> queue_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get a Message or Wait for a Message from a Queue.  <a href="#ga6c6892b8f2296cca6becd57ca2d7e1ae"></a><br/></td></tr>
+<tr class="separator:ga6c6892b8f2296cca6becd57ca2d7e1ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p><b>Message</b> <b>passing</b> is another basic communication model between threads. In the message passing model, one thread sends data explicitly, while another thread receives it. The operation is more like some kind of I/O rather than a direct access to information to be shared. In CMSIS-RTOS, this mechanism is called s <b>message</b> <b>queue</b>. The data is passed from one thread to another in a FIFO-like operation. Using message queue functions, you can control, send, receive, or wait for messages. The data to be passed can be of integer or pointer type:</p>
+<div class="image">
+<img src="MessageQueue.png" alt="MessageQueue.png"/>
+<div class="caption">
+CMSIS-RTOS Message Queue</div></div>
+<p> Compared to a <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html">Memory Pool</a>, message queues are less efficient in general, but solve a broader range of problems. Sometimes, threads do not have a common address space or the use of shared memory raises problems, such as mutual exclusion.</p>
+<h2>Working with Message Queues</h2>
+<p>Follow these steps to create and use a message queue:</p>
+<ol type="1">
+<li>Setup the message queue: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326" title="Create a Message Queue Definition.">osMessageQDef</a>(message_q, 5, uint32_t); <span class="comment">// Declare a message queue</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f" title="Message ID identifies the message queue (pointer to a message queue control block).">osMessageQId</a> (message_q_id);           <span class="comment">// Declare an ID for the message queue</span></div>
+</div><!-- fragment --></li>
+<li>Then, create the message queue in a thread: <div class="fragment"><div class="line">message_q_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78" title="Create and Initialize a Message Queue.">osMessageCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97" title="Access a Message Queue Definition.">osMessageQ</a>(message_q), NULL);</div>
+</div><!-- fragment --></li>
+<li>Fill the message queue with data: <div class="fragment"><div class="line">uint32_t data = 512;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mail.html#ga485ef6f81854ebda8ffbce4832181e02" title="Put a mail to a queue.">osMailPut</a>(message_q_id, data, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+</div><!-- fragment --></li>
+<li>From the receiving thread access the data using: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> <span class="keyword">event</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae" title="Get a Message or Wait for a Message from a Queue.">osMessageGet</a>(message_q_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga479a6561f859e3d4818e25708593d203"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_MessageQ&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support message queues.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">osFeature_MailQ</a> is 1 message queues are supported.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html#gaceb2e0071ce160d153047f2eac1aca8e">osFeature_MailQ</a> is 0 no message queues are supported. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="ga2d446a0b4bb90bf05d6f92eedeaabc97"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMessageQ</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_messageQ_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to the message queue definition for the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the queue </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMessageQ</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gac9a6a6276c12609793e7701afcc82326"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMessageQDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">queue_sz, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">type&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define the attributes of a message queue created by the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a> using <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">osMessageQ</a>.</p>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>thread</em> registers the receiving thread for a message and is needed for the general <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> function to deliver the message.</dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the queue. </td></tr>
+    <tr><td class="paramname">queue_sz</td><td>maximum number of messages in the queue. </td></tr>
+    <tr><td class="paramname">type</td><td>data type of a single message element (for debugger). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMessageQDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaf3b9345cf426304d46565152bc26fb78"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a> osMessageCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_message_q_def__t.html">osMessageQDef_t</a> *&#160;</td>
+          <td class="paramname"><em>queue_def</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_def</td><td>queue definition referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97">osMessageQ</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID (obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>) or NULL. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>message queue ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMessageCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Create and initialize a message queue.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread1;                          <span class="comment">// ID for thread 1</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread2;                          <span class="comment">// for thread 2</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{                                 <span class="comment">// Message object structure</span></div>
+<div class="line">  <span class="keywordtype">float</span>    voltage;                              <span class="comment">// AD result of measured voltage</span></div>
+<div class="line">  <span class="keywordtype">float</span>    current;                              <span class="comment">// AD result of measured current</span></div>
+<div class="line">  <span class="keywordtype">int</span>      counter;                              <span class="comment">// A counter value</span></div>
+<div class="line">} T_MEAS;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a>(mpool, 16, T_MEAS);                    <span class="comment">// Define memory pool</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>  mpool;</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326" title="Create a Message Queue Definition.">osMessageQDef</a>(MsgBox, 16, T_MEAS);               <span class="comment">// Define message queue</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f" title="Message ID identifies the message queue (pointer to a message queue control block).">osMessageQId</a>  MsgBox;</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> send_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);         <span class="comment">// forward reference</span></div>
+<div class="line"><span class="keywordtype">void</span> recv_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument);         <span class="comment">// forward reference</span></div>
+<div class="line">                                                 <span class="comment">// Thread definitions</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(send_thread, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(recv_thread, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 2000);</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//  Thread 1: Send thread</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> send_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  T_MEAS    *mptr;</div>
+<div class="line"> </div>
+<div class="line">  mptr = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543" title="Allocate a memory block from a memory pool.">osPoolAlloc</a>(mpool);                     <span class="comment">// Allocate memory for the message</span></div>
+<div class="line">  mptr-&gt;voltage = 223.72;                        <span class="comment">// Set the message content</span></div>
+<div class="line">  mptr-&gt;current = 17.54;</div>
+<div class="line">  mptr-&gt;counter = 120786;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d" title="Put a Message to a Queue.">osMessagePut</a>(MsgBox, (uint32_t)mptr, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);  <span class="comment">// Send Message</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a>(100);</div>
+<div class="line"> </div>
+<div class="line">  mptr = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543" title="Allocate a memory block from a memory pool.">osPoolAlloc</a>(mpool);                     <span class="comment">// Allocate memory for the message</span></div>
+<div class="line">  mptr-&gt;voltage = 227.23;                        <span class="comment">// Prepare a 2nd message</span></div>
+<div class="line">  mptr-&gt;current = 12.41;</div>
+<div class="line">  mptr-&gt;counter = 170823;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d" title="Put a Message to a Queue.">osMessagePut</a>(MsgBox, (uint32_t)mptr, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);  <span class="comment">// Send Message</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233" title="Pass control to next thread that is in state READY.">osThreadYield</a>();                               <span class="comment">// Cooperative multitasking</span></div>
+<div class="line">                                                 <span class="comment">// We are done here, exit this thread</span></div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//  Thread 2: Receive thread</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> recv_thread (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  T_MEAS  *rptr;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a>  evt;</div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">for</span> (;;) {</div>
+<div class="line">    evt = <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae" title="Get a Message or Wait for a Message from a Queue.">osMessageGet</a>(MsgBox, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);  <span class="comment">// wait for message</span></div>
+<div class="line">    <span class="keywordflow">if</span> (evt.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3" title="status code: event or error information">status</a> == <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342" title="function completed; message event occurred.">osEventMessage</a>) {</div>
+<div class="line">      rptr = evt.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f" title="event value">value</a>.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#a117104b82864d3b23ec174af6d392709" title="message or mail as void pointer">p</a>;</div>
+<div class="line">      printf (<span class="stringliteral">&quot;\nVoltage: %.2f V\n&quot;</span>, rptr-&gt;voltage);</div>
+<div class="line">      printf (<span class="stringliteral">&quot;Current: %.2f A\n&quot;</span>, rptr-&gt;current);</div>
+<div class="line">      printf (<span class="stringliteral">&quot;Number of cycles: %d\n&quot;</span>, rptr-&gt;counter);</div>
+<div class="line">      <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54" title="Return an allocated memory block back to a specific memory pool.">osPoolFree</a>(mpool, rptr);                  <span class="comment">// free memory allocated for message</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> StartApplication (<span class="keywordtype">void</span>) {</div>
+<div class="line">  mpool = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a>(mpool));                 <span class="comment">// create memory pool</span></div>
+<div class="line">  MsgBox = <a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78" title="Create and Initialize a Message Queue.">osMessageCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97" title="Access a Message Queue Definition.">osMessageQ</a>(MsgBox), NULL);  <span class="comment">// create msg queue</span></div>
+<div class="line">   </div>
+<div class="line">  tid_thread1 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(send_thread), NULL);</div>
+<div class="line">  tid_thread2 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(recv_thread), NULL);</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga6c6892b8f2296cca6becd57ca2d7e1ae"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a> osMessageGet </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>message queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>event information that includes status code. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMessageGet</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Suspend the execution of the current <b>RUNNING</b> thread until a message arrives. When a message is already in the queue, the function returns instantly with the message information.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a message to become available. While the system waits the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout value can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a message arrives.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>millisec</em> must be 0 for using this function in an ISR. </dd>
+<dd>
+<a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> no message is available in the queue and no timeout was specified.</li>
+<li><em>osEventTimeout:</em> no message has arrived during the given timeout period.</li>
+<li><em>osEventMessage:</em> message received, <em>value.p</em> contains the pointer to message.</li>
+<li><em>osErrorParameter:</em> a parameter is invalid or outside of a permitted range. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="gac0dcf462fc92de8ffaba6cc004514a6d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMessagePut </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#ad9ec70c32c6c521970636b521e12d17f">osMessageQId</a>&#160;</td>
+          <td class="paramname"><em>queue_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>info</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">queue_id</td><td>message queue ID obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78">osMessageCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">info</td><td>message information. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMessagePut</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Put the message <em>info</em> in a message queue specified by <em>queue_id</em>.</p>
+<p>When the message queue is full, the system retries for a specified time with <em>millisec</em>. While the system retries the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a message queue slot becomes available.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The parameter <em>millisec</em> must be 0 for using this function in an ISR. </dd>
+<dd>
+<a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the message is put into the queue.</li>
+<li><em>osErrorResource:</em> no memory in the queue was available.</li>
+<li><em>osErrorTimeoutResource:</em> no memory in the queue was available during the given time limit.</li>
+<li><em>osErrorParameter:</em> a parameter is invalid or outside of a permitted range. </li>
+</ul>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
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diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___message.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___message.js
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+[
+    [ "osFeature_MessageQ", "group___c_m_s_i_s___r_t_o_s___message.html#ga479a6561f859e3d4818e25708593d203", null ],
+    [ "osMessageQ", "group___c_m_s_i_s___r_t_o_s___message.html#ga2d446a0b4bb90bf05d6f92eedeaabc97", null ],
+    [ "osMessageQDef", "group___c_m_s_i_s___r_t_o_s___message.html#gac9a6a6276c12609793e7701afcc82326", null ],
+    [ "osMessageCreate", "group___c_m_s_i_s___r_t_o_s___message.html#gaf3b9345cf426304d46565152bc26fb78", null ],
+    [ "osMessageGet", "group___c_m_s_i_s___r_t_o_s___message.html#ga6c6892b8f2296cca6becd57ca2d7e1ae", null ],
+    [ "osMessagePut", "group___c_m_s_i_s___r_t_o_s___message.html#gac0dcf462fc92de8ffaba6cc004514a6d", null ]
+];
\ No newline at end of file
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Mutexes</title>
+<title>CMSIS-RTOS: Mutexes</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Mutexes</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Synchronize resource access using Mutual Exclusion (Mutex).  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga9b522438489d7c402c95332b58bc94f3"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3">osMutexDef</a>(name)&#160;&#160;&#160;const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> os_mutex_def_##name = { 0 }</td></tr>
+<tr class="memdesc:ga9b522438489d7c402c95332b58bc94f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Mutex.  <a href="#ga9b522438489d7c402c95332b58bc94f3"></a><br/></td></tr>
+<tr class="separator:ga9b522438489d7c402c95332b58bc94f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1122a86faa64b4a0880c76cf68d0c934"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">osMutex</a>(name)&#160;&#160;&#160;&amp;os_mutex_def_##name</td></tr>
+<tr class="memdesc:ga1122a86faa64b4a0880c76cf68d0c934"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Mutex definition.  <a href="#ga1122a86faa64b4a0880c76cf68d0c934"></a><br/></td></tr>
+<tr class="separator:ga1122a86faa64b4a0880c76cf68d0c934"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga5c9de56e717016e39e788064e9a291cc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a> (const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> *mutex_def)</td></tr>
+<tr class="memdesc:ga5c9de56e717016e39e788064e9a291cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Mutex object.  <a href="#ga5c9de56e717016e39e788064e9a291cc"></a><br/></td></tr>
+<tr class="separator:ga5c9de56e717016e39e788064e9a291cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait until a Mutex becomes available.  <a href="#ga5e1752b73f573ee015dbd9ef1edaba13"></a><br/></td></tr>
+<tr class="separator:ga5e1752b73f573ee015dbd9ef1edaba13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga006e4744d741e8e132c3d5bbc295afe1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">osMutexRelease</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id)</td></tr>
+<tr class="memdesc:ga006e4744d741e8e132c3d5bbc295afe1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Release a Mutex that was obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a>.  <a href="#ga006e4744d741e8e132c3d5bbc295afe1"></a><br/></td></tr>
+<tr class="separator:ga006e4744d741e8e132c3d5bbc295afe1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gac27e24135185d51d18f3dabc20910219"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">osMutexDelete</a> (<a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> mutex_id)</td></tr>
+<tr class="memdesc:gac27e24135185d51d18f3dabc20910219"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a Mutex that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>.  <a href="#gac27e24135185d51d18f3dabc20910219"></a><br/></td></tr>
+<tr class="separator:gac27e24135185d51d18f3dabc20910219"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p><b>Mutual exclusion</b> (widely known as <b>Mutex</b>) is used in various operating systems for resource management. Many resources in a microcontroller device can be used repeatedly, but only by one thread at a time (for example communication channels, memory, and files). Mutexes are used to protect access to a shared resource. A mutex is created and then passed between the threads (they can acquire and release the mutex).</p>
+<div class="image">
+<img src="Mutex.png" alt="Mutex.png"/>
+<div class="caption">
+CMSIS-RTOS Mutex</div></div>
+<p> A mutex is a special version of a <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html">semaphore</a>. Like the semaphore, it is a container for tokens. But instead of being able to have multiple tokens, a mutex can only carry one (representing the resource). Thus, a mutex token is binary and bounded. The advantage of a mutex is that it introduces thread ownership. When a thread acquires a mutex and becomes its owner, subsequent mutex acquires from that thread will succeed immediately without any latency. Thus, mutex acquires/releases can be nested.</p>
+<dl class="section note"><dt>Note</dt><dd><ul>
+<li>Mutex management functions cannot be called from interrupt service routines (ISR), unlike a binary semaphore that can be released from an ISR.</li>
+</ul>
+</dd></dl>
+<h2>Working with Mutexes</h2>
+<p>To use mutexes, you need to follow these steps for creating and using them:</p>
+<ol type="1">
+<li>Declare the mutex container and initialize the mutex: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3" title="Define a Mutex.">osMutexDef</a> (uart_mutex);    <span class="comment">// Declare mutex</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a>  (uart_mutex_id); <span class="comment">// Mutex ID</span></div>
+</div><!-- fragment --></li>
+<li>Create the mutex in a thread: <div class="fragment"><div class="line">uart_mutex_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc" title="Create and Initialize a Mutex object.">osMutexCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934" title="Access a Mutex definition.">osMutex</a>(uart_mutex));</div>
+</div><!-- fragment --></li>
+<li>Acquire the mutex when peripheral access is required: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13" title="Wait until a Mutex becomes available.">osMutexWait</a>(uart_mutex_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+</div><!-- fragment --></li>
+<li>When finished with the peripheral access, release the mutex: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1" title="Release a Mutex that was obtained by osMutexWait.">osMutexRelease</a>(uart_mutex_id);</div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga1122a86faa64b4a0880c76cf68d0c934"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMutex</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_mutex_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to mutex object for the functions <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the mutex object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMutex</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9b522438489d7c402c95332b58bc94f3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osMutexDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> os_mutex_def_##name = { 0 }</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define a mutex object that is referenced by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">osMutex</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the mutex object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osMutexDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga5c9de56e717016e39e788064e9a291cc"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a> osMutexCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a> *&#160;</td>
+          <td class="paramname"><em>mutex_def</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">mutex_def</td><td>mutex definition referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934">osMutex</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>mutex ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMutexCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Create and initialize a Mutex object.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3" title="Define a Mutex.">osMutexDef</a> (MutexIsr);                                     <span class="comment">// Mutex name definition</span></div>
+<div class="line">  </div>
+<div class="line"><span class="keywordtype">void</span> CreateMutex (<span class="keywordtype">void</span>)  {</div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id;   </div>
+<div class="line"> </div>
+<div class="line">  mutex_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc" title="Create and Initialize a Mutex object.">osMutexCreate</a>  (<a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934" title="Access a Mutex definition.">osMutex</a> (MutexIsr));</div>
+<div class="line">  <span class="keywordflow">if</span> (mutex_id != NULL)  {</div>
+<div class="line">    <span class="comment">// Mutex object created</span></div>
+<div class="line">  }   </div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gac27e24135185d51d18f3dabc20910219"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMutexDelete </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a>&#160;</td>
+          <td class="paramname"><em>mutex_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">mutex_id</td><td>mutex ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMutexDelete</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Delete a Mutex object. The function releases internal memory obtained for Mutex handling. After this call the <em>mutex_id</em> is no longer valid and cannot be used. The Mutex may be created again using the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the mutex object has been deleted.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">osMutexDelete</a> cannot be called from interrupt service routines.</li>
+<li><em>osErrorResource:</em> all tokens have already been released.</li>
+<li><em>osErrorParameter:</em> the parameter <em>mutex_id</em> is incorrect.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3" title="Define a Mutex.">osMutexDef</a> (MutexIsr);                                     <span class="comment">// Mutex name definition </span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id;                                        <span class="comment">// Mutex id populated by the function CreateMutex()</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> CreateMutex (<span class="keywordtype">void</span>);                              <span class="comment">// function prototype that creates the Mutex</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> DeleteMutex (<a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id)  {</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;</div>
+<div class="line">  </div>
+<div class="line">  <span class="keywordflow">if</span> (mutex_id != NULL)  {</div>
+<div class="line">    status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219" title="Delete a Mutex that was created by osMutexCreate.">osMutexDelete</a>(mutex_id);</div>
+<div class="line">    <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// handle failure code</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga006e4744d741e8e132c3d5bbc295afe1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMutexRelease </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a>&#160;</td>
+          <td class="paramname"><em>mutex_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">mutex_id</td><td>mutex ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMutexRelease</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Release a Mutex that was obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a>. Other threads that currently wait for the same mutex will be now put into the state <b>READY</b>.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the mutex has been correctly released.</li>
+<li><em>osErrorResource:</em> the mutex was not obtained before.</li>
+<li><em>osErrorParameter:</em> the parameter <em>mutex_id</em> is incorrect.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1">osMutexRelease</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3" title="Define a Mutex.">osMutexDef</a> (MutexIsr);                                     <span class="comment">// Mutex name definition </span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id;                                        <span class="comment">// Mutex id populated by the function CreateMutex()</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> CreateMutex (<span class="keywordtype">void</span>);                              <span class="comment">// function prototype that creates the Mutex</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> ReleaseMutex (<a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id)  {</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;</div>
+<div class="line">  </div>
+<div class="line">  <span class="keywordflow">if</span> (mutex_id != NULL)  {</div>
+<div class="line">    status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1" title="Release a Mutex that was obtained by osMutexWait.">osMutexRelease</a>(mutex_id);</div>
+<div class="line">    <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// handle failure code</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga5e1752b73f573ee015dbd9ef1edaba13"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osMutexWait </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2">osMutexId</a>&#160;</td>
+          <td class="paramname"><em>mutex_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">mutex_id</td><td>mutex ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc">osMutexCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osMutexWait</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Wait until a Mutex becomes available. If no other thread has obtained the Mutex, the function instantly returns and blocks the mutex object.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a mutex. While the system waits the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until the mutex becomes available.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the mutex has been obtain.</li>
+<li><em>osErrorTimeoutResource:</em> the mutex could not be obtained in the given time.</li>
+<li><em>osErrorResource:</em> the mutex could not be obtained when no timeout was specified.</li>
+<li><em>osErrorParameter:</em> the parameter <em>mutex_id</em> is incorrect.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13">osMutexWait</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3" title="Define a Mutex.">osMutexDef</a> (MutexIsr);</div>
+<div class="line">  </div>
+<div class="line"><span class="keywordtype">void</span> WaitMutex (<span class="keywordtype">void</span>)  {</div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a3263c1ad9fd79b84f908d65e8da44ac2" title="Mutex ID identifies the mutex (pointer to a mutex control block).">osMutexId</a> mutex_id;   </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;</div>
+<div class="line"> </div>
+<div class="line">  mutex_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc" title="Create and Initialize a Mutex object.">osMutexCreate</a>  (<a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934" title="Access a Mutex definition.">osMutex</a> (MutexIsr));</div>
+<div class="line">  <span class="keywordflow">if</span> (mutex_id != NULL)  {</div>
+<div class="line">    status  = <a class="code" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13" title="Wait until a Mutex becomes available.">osMutexWait</a>    (mutex_id, 0);</div>
+<div class="line">    <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// handle failure code</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
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+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mutex_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mutex_mgmt.js
new file mode 100644
index 0000000..1587dca
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___mutex_mgmt.js
@@ -0,0 +1,9 @@
+var group___c_m_s_i_s___r_t_o_s___mutex_mgmt =
+[
+    [ "osMutex", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga1122a86faa64b4a0880c76cf68d0c934", null ],
+    [ "osMutexDef", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga9b522438489d7c402c95332b58bc94f3", null ],
+    [ "osMutexCreate", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5c9de56e717016e39e788064e9a291cc", null ],
+    [ "osMutexDelete", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219", null ],
+    [ "osMutexRelease", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga006e4744d741e8e132c3d5bbc295afe1", null ],
+    [ "osMutexWait", "group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#ga5e1752b73f573ee015dbd9ef1edaba13", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.html
new file mode 100644
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--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.html
@@ -0,0 +1,456 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Memory Pool</title>
+<title>CMSIS-RTOS: Memory Pool</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___pool_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Memory Pool</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Manage thread-safe fixed-size blocks of dynamic memory.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:gadd84b683001de327894851b428587caa"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa">osFeature_Pool</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:gadd84b683001de327894851b428587caa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Memory Pools: 1=available, 0=not available.  <a href="#gadd84b683001de327894851b428587caa"></a><br/></td></tr>
+<tr class="separator:gadd84b683001de327894851b428587caa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga87b471d4fe2d5dbd0040708edd52771b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b">osPoolDef</a>(name, no, type)</td></tr>
+<tr class="memdesc:ga87b471d4fe2d5dbd0040708edd52771b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Memory Pool.  <a href="#ga87b471d4fe2d5dbd0040708edd52771b"></a><br/></td></tr>
+<tr class="separator:ga87b471d4fe2d5dbd0040708edd52771b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga5f0b204a82327533d420210125c90697"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">osPool</a>(name)&#160;&#160;&#160;&amp;os_pool_def_##name</td></tr>
+<tr class="memdesc:ga5f0b204a82327533d420210125c90697"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Memory Pool definition.  <a href="#ga5f0b204a82327533d420210125c90697"></a><br/></td></tr>
+<tr class="separator:ga5f0b204a82327533d420210125c90697"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a> (const <a class="el" href="structos_pool_def__t.html">osPoolDef_t</a> *pool_def)</td></tr>
+<tr class="memdesc:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a memory pool.  <a href="#ga34af5c4f4ab38f4138ea7f1f9ece3a1a"></a><br/></td></tr>
+<tr class="separator:ga34af5c4f4ab38f4138ea7f1f9ece3a1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543">osPoolAlloc</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id)</td></tr>
+<tr class="memdesc:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a memory pool.  <a href="#gaa0b2994f1a866c19e0d11e6e0d44f543"></a><br/></td></tr>
+<tr class="separator:gaa0b2994f1a866c19e0d11e6e0d44f543"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a">osPoolCAlloc</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id)</td></tr>
+<tr class="memdesc:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate a memory block from a memory pool and set memory block to zero.  <a href="#ga9f129fcad4730fbd1048ad4fa262f36a"></a><br/></td></tr>
+<tr class="separator:ga9f129fcad4730fbd1048ad4fa262f36a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54">osPoolFree</a> (<a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> pool_id, void *block)</td></tr>
+<tr class="memdesc:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an allocated memory block back to a specific memory pool.  <a href="#ga4a861e9c469c9d0daf5721bf174f8e54"></a><br/></td></tr>
+<tr class="separator:ga4a861e9c469c9d0daf5721bf174f8e54"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p><b>Memory</b> <b>pools</b> are fixed-size blocks of memory that are thread-safe. They operate much faster than the dynamically allocated heap and do not suffer from fragmentation. Being thread-safe, they can be accessed from threads and ISRs alike.</p>
+<p><b>Shared</b> <b>memory</b> is one of the basic models to exchange information between threads. Using memory pools for exchanging data, you can share more complex objects between threads if compared to a <a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html">Message Queue</a>. Memory pool management functions are used to define and manage such fixed-sized memory pools.</p>
+<h2>Working with Memory Pools</h2>
+<p>Follow these steps to create and use a memory pool:</p>
+<ol type="1">
+<li>Declare a data structure that combines a number of elements: <div class="fragment"><div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint32_t length;</div>
+<div class="line">  uint32_t width;</div>
+<div class="line">  uint32_t height;</div>
+<div class="line">  uint32_t weight;</div>
+<div class="line">} properties_t;</div>
+</div><!-- fragment --></li>
+<li>Declare a memory pool of these objects as a block of memory: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a> (object_pool, 10, properties_t);  <span class="comment">// Declare memory pool</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>  (object_pool_id);                 <span class="comment">// Memory pool ID</span></div>
+</div><!-- fragment --></li>
+<li>Then, create the memory pool in a thread: <div class="fragment"><div class="line">object_pool_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a>(object_pool));</div>
+</div><!-- fragment --></li>
+<li>Allocate the pool within a thread and fill it with data: <div class="fragment"><div class="line">properties_t *object_data;</div>
+<div class="line">*object_data = (properties_t *) <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543" title="Allocate a memory block from a memory pool.">osPoolAlloc</a>(object_pool_id);</div>
+<div class="line"> </div>
+<div class="line">object_data-&gt;length = 100;</div>
+<div class="line">object_data-&gt;width  = 10;</div>
+<div class="line">object_data-&gt;height = 23;</div>
+<div class="line">object_data-&gt;weight = 1000;</div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="gadd84b683001de327894851b428587caa"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_Pool&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support fixed-size memory pools.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa">osFeature_Pool</a> is 1 memory pools are supported.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa">osFeature_Pool</a> is 0 no memory pools are supported. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="ga5f0b204a82327533d420210125c90697"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osPool</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_pool_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access a memory pool for the functions <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the memory pool </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osPool</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga87b471d4fe2d5dbd0040708edd52771b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osPoolDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">no, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">type&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define a memory pool that is referenced by <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">osPool</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the memory pool. </td></tr>
+    <tr><td class="paramname">no</td><td>maximum number of blocks (objects) in the memory pool. </td></tr>
+    <tr><td class="paramname">type</td><td>data type of a single block (object). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osPoolDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaa0b2994f1a866c19e0d11e6e0d44f543"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void * osPoolAlloc </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a>&#160;</td>
+          <td class="paramname"><em>pool_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pool_id</td><td>memory pool ID obtain referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>address of the allocated memory block or NULL in case of no memory available. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPoolAlloc</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Allocate a memory block from the memory pool.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint8_t Buf[32];</div>
+<div class="line">  uint8_t Idx;</div>
+<div class="line">} MEM_BLOCK;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a> (MemPool, 8, MEM_BLOCK);</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> AlocMemoryPoolBlock (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>   MemPool_Id;</div>
+<div class="line">  MEM_BLOCK *addr;</div>
+<div class="line"> </div>
+<div class="line">  MemPool_Id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a> (MemPool));</div>
+<div class="line">  <span class="keywordflow">if</span> (MemPool_Id != NULL)  {</div>
+<div class="line">    :</div>
+<div class="line">    <span class="comment">// allocate a memory block</span></div>
+<div class="line">    addr = (MEM_BLOCK *)<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543" title="Allocate a memory block from a memory pool.">osPoolAlloc</a> (MemPool_Id);</div>
+<div class="line">    </div>
+<div class="line">    <span class="keywordflow">if</span> (addr != NULL) {</div>
+<div class="line">      <span class="comment">// memory block was allocated</span></div>
+<div class="line">      :</div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga9f129fcad4730fbd1048ad4fa262f36a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void * osPoolCAlloc </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a>&#160;</td>
+          <td class="paramname"><em>pool_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pool_id</td><td>memory pool ID obtain referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>address of the allocated memory block or NULL in case of no memory available. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPoolCAlloc</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Allocate a memory block from the memory pool. The block is initialized to zero.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint8_t Buf[32];</div>
+<div class="line">  uint8_t Idx;</div>
+<div class="line">} MEM_BLOCK;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a> (MemPool, 8, MEM_BLOCK);</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> CAlocMemoryPoolBlock (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>   MemPool_Id;</div>
+<div class="line">  MEM_BLOCK *addr;</div>
+<div class="line"> </div>
+<div class="line">  MemPool_Id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a> (MemPool));</div>
+<div class="line">  <span class="keywordflow">if</span> (MemPool_Id != NULL)  {</div>
+<div class="line">    :</div>
+<div class="line">    <span class="comment">// allocate a memory block</span></div>
+<div class="line">    addr = (MEM_BLOCK *)<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a" title="Allocate a memory block from a memory pool and set memory block to zero.">osPoolCAlloc</a> (MemPool_Id);</div>
+<div class="line">    </div>
+<div class="line">    <span class="keywordflow">if</span> (addr != NULL) {</div>
+<div class="line">      <span class="comment">// memory block was allocated</span></div>
+<div class="line">      :</div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga34af5c4f4ab38f4138ea7f1f9ece3a1a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a> osPoolCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_pool_def__t.html">osPoolDef_t</a> *&#160;</td>
+          <td class="paramname"><em>pool_def</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pool_def</td><td>memory pool definition referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697">osPool</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>memory pool ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPoolCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Create and initialize a memory pool.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint8_t Buf[32];</div>
+<div class="line">  uint8_t Idx;</div>
+<div class="line">} MEM_BLOCK;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a> (MemPool, 8, MEM_BLOCK);</div>
+<div class="line">  </div>
+<div class="line"><span class="keywordtype">void</span> CreateMemoryPool (<span class="keywordtype">void</span>)  {</div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a> MemPool_Id;</div>
+<div class="line"> </div>
+<div class="line">  MemPool_Id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a> (MemPool));</div>
+<div class="line">  <span class="keywordflow">if</span> (MemPool_Id != NULL)  {</div>
+<div class="line">    <span class="comment">// memory pool created</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga4a861e9c469c9d0daf5721bf174f8e54"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osPoolFree </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686">osPoolId</a>&#160;</td>
+          <td class="paramname"><em>pool_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>block</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">pool_id</td><td>memory pool ID obtain referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a">osPoolCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">block</td><td>address of the allocated memory block that is returned to the memory pool. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPoolFree</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Return a memory block to a memory pool.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the memory block is released.</li>
+<li><em>osErrorValue:</em> <em>block</em> does not belong to the memory pool.</li>
+<li><em>osErrorParameter:</em> a parameter is invalid or outside of a permitted range.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">typedef</span> <span class="keyword">struct </span>{</div>
+<div class="line">  uint8_t Buf[32];</div>
+<div class="line">  uint8_t Idx;</div>
+<div class="line">} MEM_BLOCK;</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b" title="Define a Memory Pool.">osPoolDef</a> (MemPool, 8, MEM_BLOCK);</div>
+<div class="line">  </div>
+<div class="line"><span class="keywordtype">void</span> CAlocMemoryPoolBlock (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#a08d2e20fd9bbd96220fe068d420f3686" title="Pool ID identifies the memory pool (pointer to a memory pool control block).">osPoolId</a>   MemPool_Id;</div>
+<div class="line">  MEM_BLOCK *addr;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>   status;</div>
+<div class="line">  </div>
+<div class="line">  MemPool_Id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a" title="Create and Initialize a memory pool.">osPoolCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697" title="Access a Memory Pool definition.">osPool</a> (MemPool));</div>
+<div class="line">  <span class="keywordflow">if</span> (MemPool_Id != NULL)  {</div>
+<div class="line">    addr = (MEM_BLOCK *)<a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a" title="Allocate a memory block from a memory pool and set memory block to zero.">osPoolCAlloc</a> (MemPool_Id);</div>
+<div class="line">    <span class="keywordflow">if</span> (addr != NULL) {</div>
+<div class="line">      :</div>
+<div class="line">      <span class="comment">// return a memory block back to pool</span></div>
+<div class="line">      status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54" title="Return an allocated memory block back to a specific memory pool.">osPoolFree</a> (MemPool_Id, addr);</div>
+<div class="line">      <span class="keywordflow">if</span> (status==<a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">        <span class="comment">// handle status code</span></div>
+<div class="line">      }</div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.js
new file mode 100644
index 0000000..51d5079
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___pool_mgmt.js
@@ -0,0 +1,10 @@
+var group___c_m_s_i_s___r_t_o_s___pool_mgmt =
+[
+    [ "osFeature_Pool", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gadd84b683001de327894851b428587caa", null ],
+    [ "osPool", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga5f0b204a82327533d420210125c90697", null ],
+    [ "osPoolDef", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga87b471d4fe2d5dbd0040708edd52771b", null ],
+    [ "osPoolAlloc", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#gaa0b2994f1a866c19e0d11e6e0d44f543", null ],
+    [ "osPoolCAlloc", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga9f129fcad4730fbd1048ad4fa262f36a", null ],
+    [ "osPoolCreate", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga34af5c4f4ab38f4138ea7f1f9ece3a1a", null ],
+    [ "osPoolFree", "group___c_m_s_i_s___r_t_o_s___pool_mgmt.html#ga4a861e9c469c9d0daf5721bf174f8e54", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,424 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Semaphores</title>
+<title>CMSIS-RTOS: Semaphores</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Semaphores</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Access shared resources simultaneously from different threads.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a">osFeature_Semaphore</a>&#160;&#160;&#160;30</td></tr>
+<tr class="memdesc:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum count for <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> function  <a href="#ga7da4c7bfb340779c9fc7b321f5ab3e3a"></a><br/></td></tr>
+<tr class="separator:ga7da4c7bfb340779c9fc7b321f5ab3e3a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga9e66fe361749071e5ab87826c43c2f1b"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b">osSemaphoreDef</a>(name)&#160;&#160;&#160;const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> os_semaphore_def_##name = { 0 }</td></tr>
+<tr class="memdesc:ga9e66fe361749071e5ab87826c43c2f1b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Semaphore object.  <a href="#ga9e66fe361749071e5ab87826c43c2f1b"></a><br/></td></tr>
+<tr class="separator:ga9e66fe361749071e5ab87826c43c2f1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga03761ee8d2c3cd4544e18364ab301dac"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">osSemaphore</a>(name)&#160;&#160;&#160;&amp;os_semaphore_def_##name</td></tr>
+<tr class="memdesc:ga03761ee8d2c3cd4544e18364ab301dac"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Semaphore definition.  <a href="#ga03761ee8d2c3cd4544e18364ab301dac"></a><br/></td></tr>
+<tr class="separator:ga03761ee8d2c3cd4544e18364ab301dac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga97381e8e55cd47cec390bf57c96d6edb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> (const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> *semaphore_def, int32_t count)</td></tr>
+<tr class="memdesc:ga97381e8e55cd47cec390bf57c96d6edb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create and Initialize a Semaphore object used for managing resources.  <a href="#ga97381e8e55cd47cec390bf57c96d6edb"></a><br/></td></tr>
+<tr class="separator:ga97381e8e55cd47cec390bf57c96d6edb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gacc15b0fc8ce1167fe43da33042e62098"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">osSemaphoreWait</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:gacc15b0fc8ce1167fe43da33042e62098"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait until a Semaphore token becomes available.  <a href="#gacc15b0fc8ce1167fe43da33042e62098"></a><br/></td></tr>
+<tr class="separator:gacc15b0fc8ce1167fe43da33042e62098"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab108914997c49e14d8ff1ae0d1988ca0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">osSemaphoreRelease</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id)</td></tr>
+<tr class="memdesc:gab108914997c49e14d8ff1ae0d1988ca0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Release a Semaphore token.  <a href="#gab108914997c49e14d8ff1ae0d1988ca0"></a><br/></td></tr>
+<tr class="separator:gab108914997c49e14d8ff1ae0d1988ca0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gabae2801ac2c096f6e8c69a264908f595"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">osSemaphoreDelete</a> (<a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> semaphore_id)</td></tr>
+<tr class="memdesc:gabae2801ac2c096f6e8c69a264908f595"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a Semaphore that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>.  <a href="#gabae2801ac2c096f6e8c69a264908f595"></a><br/></td></tr>
+<tr class="separator:gabae2801ac2c096f6e8c69a264908f595"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Semaphores are used to manage and protect access to shared resources. Semaphores are very similar to <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html">Mutexes</a>. Whereas a Mutex permits just one thread to access a shared resource at a time, a semaphore can be used to permit a fixed number of threads to access a pool of shared resources. Using semaphores, access to a group of identical peripherals can be managed (for example multiple DMA channels).</p>
+<div class="image">
+<img src="Semaphore.png" alt="Semaphore.png"/>
+<div class="caption">
+CMSIS-RTOS Semaphore</div></div>
+<p> A semaphore object should be initialized to the maximum number of available tokens. This number of available resources is specified as parameter of the <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a> function. Each time a semaphore token is obtained with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098">osSemaphoreWait</a>, the semaphore count is decremented. When the semaphore count is 0, no semaphore token can be obtained. The thread that tries to obtain the semaphore token needs to wait until the next token is free. Semaphores are released with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0">osSemaphoreRelease</a> incrementing the semaphore count.</p>
+<dl class="section note"><dt>Note</dt><dd>Semaphore tokens can be acquired from threads and released from threads and ISRs.</dd></dl>
+<h2>Working with Semaphores</h2>
+<p>Follow these steps to create and use a semaphore:</p>
+<ol type="1">
+<li>Declare the semaphore container and initialize the semaphore: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b" title="Define a Semaphore object.">osSemaphoreDef</a> (my_semaphore);    <span class="comment">// Declare semaphore</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84" title="Semaphore ID identifies the semaphore (pointer to a semaphore control block).">osSemaphoreId</a>  (my_semaphore_id); <span class="comment">// Semaphore ID</span></div>
+</div><!-- fragment --></li>
+<li>Initialize the semaphore container with a number of tokens within a thread: <div class="fragment"><div class="line">my_semaphore_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb" title="Create and Initialize a Semaphore object used for managing resources.">osSemaphoreCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac" title="Access a Semaphore definition.">osSemaphore</a>(my_semaphore), 4);  <span class="comment">// Create semaphore with 4 tokens</span></div>
+</div><!-- fragment --> <b>Important:</b> semaphore tokens can be created and destroyed as threads run. This means that can initialize a semaphore with zero tokens and then use one thread to add/create tokens to the semaphore while a second thread removes them. In this way you can distinguish between producer and consumer threads.</li>
+<li>Acquire a token from the semaphore container: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098" title="Wait until a Semaphore token becomes available.">osSemaphoreWait</a>(my_semaphore_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+</div><!-- fragment --></li>
+<li>When finished using the semaphore resource, send the token back to the semaphore container: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0" title="Release a Semaphore token.">osSemaphoreRelease</a>(my_semaphore_id);</div>
+</div><!-- fragment --></li>
+</ol>
+<h2>Semaphore Use Cases</h2>
+<p>Due to their flexibility, semaphores cover a wide range of synchronizing applications. At the same time, they are perhaps the most challenging RTOS object to understand. The following explains a use case for semaphores, taken from the book <a href="http://www.greenteapress.com/semaphores/" target="_blank">The Little Book Of Semaphores</a> by Allen B. Downey which is available for free download.</p>
+<p><b>Non-binary Semaphore (Multiplex)</b></p>
+<p>A multiplex limits the number of threads that can access a critical section of code. For example, this could be a function accessing DMA resources which can only support a limited number of calls.</p>
+<p>To allow multiple threads to run the function, initialize a semaphore to the maximum number of threads that can be allowed. The number of tokens in the semaphore represents the number of additional threads that may enter. If this number is zero, then the next thread trying to access the function will have to wait until one of the other threads exits and releases its token. When all threads have exited the token number is back to n. Ths following example shows the code for one of the threads that might access the resource:</p>
+<div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b" title="Define a Semaphore object.">osSemaphoreDef</a>(multiplex);</div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84" title="Semaphore ID identifies the semaphore (pointer to a semaphore control block).">osSemaphoreId</a> (multiplex_id);</div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> thread_n (<span class="keywordtype">void</span>)</div>
+<div class="line">  {</div>
+<div class="line">    multiplex_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb" title="Create and Initialize a Semaphore object used for managing resources.">osSemaphoreCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac" title="Access a Semaphore definition.">osSemaphore</a>(multiplex), 3);</div>
+<div class="line">    <span class="keywordflow">while</span>(1)</div>
+<div class="line">      {</div>
+<div class="line">        <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098" title="Wait until a Semaphore token becomes available.">osSemaphoreWait</a>(multiplex_id, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);</div>
+<div class="line">        <span class="comment">// do something</span></div>
+<div class="line">        <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0" title="Release a Semaphore token.">osSemaphoreRelease</a>(multiplex_id);</div>
+<div class="line">      }</div>
+<div class="line">  }</div>
+</div><!-- fragment --> <h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga7da4c7bfb340779c9fc7b321f5ab3e3a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_Semaphore&#160;&#160;&#160;30</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support semaphores. The value <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a">osFeature_Semaphore</a> indicates the maximum index count for a semaphore. </p>
+
+</div>
+</div>
+<a class="anchor" id="ga03761ee8d2c3cd4544e18364ab301dac"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osSemaphore</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_semaphore_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to semaphore object for the functions <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the semaphore object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osSemaphore</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga9e66fe361749071e5ab87826c43c2f1b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osSemaphoreDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> os_semaphore_def_##name = { 0 }</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define a semaphore object that is referenced by <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">osSemaphore</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the semaphore object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osSemaphoreDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga97381e8e55cd47cec390bf57c96d6edb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a> osSemaphoreCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_semaphore_def__t.html">osSemaphoreDef_t</a> *&#160;</td>
+          <td class="paramname"><em>semaphore_def</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>count</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">semaphore_def</td><td>semaphore definition referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac">osSemaphore</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">count</td><td>number of available resources. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>semaphore ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSemaphoreCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Create and initialize a Semaphore object that is used to manage access to shared resources. The parameter <em>count</em> specifies the number of available resources. The <em>count</em> value 1 creates a binary semaphore.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line">   </div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread1;                          <span class="comment">// ID for thread 1</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> tid_thread2;                          <span class="comment">// ID for thread 2</span></div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84" title="Semaphore ID identifies the semaphore (pointer to a semaphore control block).">osSemaphoreId</a> semaphore;                         <span class="comment">// Semaphore ID</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b" title="Define a Semaphore object.">osSemaphoreDef</a>(semaphore);                       <span class="comment">// Semaphore definition</span></div>
+<div class="line">   </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//   Thread 1 - High Priority - Active every 3ms</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> thread1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  int32_t value;</div>
+<div class="line"></div>
+<div class="line">  <span class="keywordflow">while</span> (1) {</div>
+<div class="line">    <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a>(3);                                  <span class="comment">// Pass control to other tasks for 3ms</span></div>
+<div class="line">    val = <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098" title="Wait until a Semaphore token becomes available.">osSemaphoreWait</a> (semaphore, 1);        <span class="comment">// Wait 1ms for the free semaphore</span></div>
+<div class="line">    <span class="keywordflow">if</span> (val &gt; 0) {</div>
+<div class="line">                                                 <span class="comment">// If there was no time-out the semaphore was acquired</span></div>
+<div class="line">      :                                          <span class="comment">// OK, the interface is free now, use it.</span></div>
+<div class="line">      <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0" title="Release a Semaphore token.">osSemaphoreRelease</a> (semaphore);            <span class="comment">// Return a token back to a semaphore</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line">  </div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="comment">//   Thread 2 - Normal Priority - looks for a free semaphore and uses</span></div>
+<div class="line"><span class="comment">//                                the resource whenever it is available</span></div>
+<div class="line"><span class="comment">//</span></div>
+<div class="line"><span class="keywordtype">void</span> thread2 (<span class="keywordtype">void</span> <span class="keyword">const</span> *argument) {</div>
+<div class="line">  <span class="keywordflow">while</span> (1) {</div>
+<div class="line">    <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098" title="Wait until a Semaphore token becomes available.">osSemaphoreWait</a> (semaphore, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>);  <span class="comment">// Wait indefinitely for a free semaphore</span></div>
+<div class="line">                                                 <span class="comment">// OK, the interface is free now, use it.</span></div>
+<div class="line">    :</div>
+<div class="line">    <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0" title="Release a Semaphore token.">osSemaphoreRelease</a> (semaphore);              <span class="comment">// Return a token back to a semaphore.</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+<div class="line">  </div>
+<div class="line"><span class="comment">// Thread definitions </span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(thread1, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2" title="priority: high">osPriorityHigh</a>,   1, 0);</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a>(thread2, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);</div>
+<div class="line">   </div>
+<div class="line"><span class="keywordtype">void</span> StartApplication (<span class="keywordtype">void</span>) {</div>
+<div class="line">  semaphore = <a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb" title="Create and Initialize a Semaphore object used for managing resources.">osSemaphoreCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac" title="Access a Semaphore definition.">osSemaphore</a>(semaphore), 1);</div>
+<div class="line"></div>
+<div class="line">  tid_thread1 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(thread1), NULL);</div>
+<div class="line">  tid_thread2 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(thread2), NULL);</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gabae2801ac2c096f6e8c69a264908f595"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osSemaphoreDelete </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a>&#160;</td>
+          <td class="paramname"><em>semaphore_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">semaphore_id</td><td>semaphore object referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSemaphoreDelete</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Delete a Semaphore object. The function releases internal memory obtained for Semaphore handling. After this call the <em>semaphore_id</em> is no longer valid and cannot be used. The Semaphore may be created again using the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the semaphore object has been deleted.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">osSemaphoreDelete</a> cannot be called from interrupt service routines.</li>
+<li><em>osErrorResource:</em> the semaphore object could not be deleted.</li>
+<li><em>osErrorParameter:</em> the parameter <em>semaphore_id</em> is incorrect.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gab108914997c49e14d8ff1ae0d1988ca0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osSemaphoreRelease </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a>&#160;</td>
+          <td class="paramname"><em>semaphore_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">semaphore_id</td><td>semaphore object referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSemaphoreRelease</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Release a Semaphore token. This increments the count of available semaphore tokens.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the semaphore has been released.</li>
+<li><em>osErrorResource:</em> all tokens have already been released.</li>
+<li><em>osErrorParameter:</em> the parameter <em>semaphore_id</em> is incorrect. </li>
+</ul>
+
+</div>
+</div>
+<a class="anchor" id="gacc15b0fc8ce1167fe43da33042e62098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t osSemaphoreWait </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#aa8968896c84094aa973683c84fa06f84">osSemaphoreId</a>&#160;</td>
+          <td class="paramname"><em>semaphore_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">semaphore_id</td><td>semaphore object referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb">osSemaphoreCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>number of available tokens, or -1 in case of incorrect parameters. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSemaphoreWait</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Wait until a Semaphore token becomes available. When no Semaphore token is available, the function waits for the time specified with the parameter <em>millisec</em>.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for a Semaphore token to become available. While the system waits the thread that is calling this function is put into the state <b>WAITING</b>. The <em>millisec</em> timeout can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until the Semaphore token becomes available.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<p>The return value indicates the number of available tokens (the semaphore count value). If 0 is returned, then no semaphore was available.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>. </dd></dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.js
new file mode 100644
index 0000000..cb194a8
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.js
@@ -0,0 +1,10 @@
+var group___c_m_s_i_s___r_t_o_s___semaphore_mgmt =
+[
+    [ "osFeature_Semaphore", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga7da4c7bfb340779c9fc7b321f5ab3e3a", null ],
+    [ "osSemaphore", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga03761ee8d2c3cd4544e18364ab301dac", null ],
+    [ "osSemaphoreDef", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga9e66fe361749071e5ab87826c43c2f1b", null ],
+    [ "osSemaphoreCreate", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#ga97381e8e55cd47cec390bf57c96d6edb", null ],
+    [ "osSemaphoreDelete", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595", null ],
+    [ "osSemaphoreRelease", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gab108914997c49e14d8ff1ae0d1988ca0", null ],
+    [ "osSemaphoreWait", "group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gacc15b0fc8ce1167fe43da33042e62098", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___signal_mgmt.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___signal_mgmt.html
new file mode 100644
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Signal Events</title>
+<title>CMSIS-RTOS: Signal Events</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
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+  $(document).ready(initResizable);
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
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+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___signal_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Signal Events</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html">Inter-Thread Communication and Resource Sharing</a></div></div><!--header-->
+<div class="contents">
+
+<p>Synchronize threads using signals.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga01edde265710d883b6e237d34a6ef4a6"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga01edde265710d883b6e237d34a6ef4a6">osFeature_Signals</a>&#160;&#160;&#160;8</td></tr>
+<tr class="memdesc:ga01edde265710d883b6e237d34a6ef4a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">maximum number of Signal Flags available per thread  <a href="#ga01edde265710d883b6e237d34a6ef4a6"></a><br/></td></tr>
+<tr class="separator:ga01edde265710d883b6e237d34a6ef4a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga3de2730654589d6c3559c4b9e2825553"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">osSignalSet</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, int32_t signals)</td></tr>
+<tr class="memdesc:ga3de2730654589d6c3559c4b9e2825553"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the specified Signal Flags of an active thread.  <a href="#ga3de2730654589d6c3559c4b9e2825553"></a><br/></td></tr>
+<tr class="separator:ga3de2730654589d6c3559c4b9e2825553"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="memItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">osSignalClear</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, int32_t signals)</td></tr>
+<tr class="memdesc:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Clear the specified Signal Flags of an active thread.  <a href="#ga87283a6ebc31ce9ed42baf3ea7e4eab6"></a><br/></td></tr>
+<tr class="separator:ga87283a6ebc31ce9ed42baf3ea7e4eab6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga38860acda96df47da6923348d96fc4c9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a> (int32_t signals, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga38860acda96df47da6923348d96fc4c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for one or more Signal Flags to become signaled for the current <b>RUNNING</b> thread.  <a href="#ga38860acda96df47da6923348d96fc4c9"></a><br/></td></tr>
+<tr class="separator:ga38860acda96df47da6923348d96fc4c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>Signals are used to trigger execution states between threads. The signal management functions in CMSIS-RTOS allow you to control or wait for signal flags. Each thread has up to 31 assigned signal flags. The maximum number of signal flags is defined in the <a class="el" href="cmsis__os_8h.html">cmsis_os.h</a> file (<b>#define osFeature_Signals</b>).</p>
+<p>A thread</p>
+<ul>
+<li>can wait for signals to be set (using <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a>). Using this function, it enters the <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ThreadStates">WAITING</a> state. The <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a> parameter <em>signals</em> defines the signals that are required to put the thread back into <b>READY</b> state.</li>
+<li>may set one or more flags in any other given thread (using <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553">osSignalSet</a>).</li>
+<li>may clear its own signals or the signals of other threads (using <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6">osSignalClear</a>).</li>
+</ul>
+<p>When a thread wakes up and resumes execution, its signal flags are automatically cleared.</p>
+<h2>Working with Signals</h2>
+<p>Here is a simple example that shows how two thread can communicate with each others using signals:</p>
+<div class="image">
+<img src="simple_signal.png" alt="simple_signal.png"/>
+<div class="caption">
+Simple signal event communication</div></div>
+<p> The following steps are required to use signals:</p>
+<ol type="1">
+<li>In the thread (for example thread ID <code>tid_thread1</code>) that is supposed to wait for a signal, call the wait function: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9" title="Wait for one or more Signal Flags to become signaled for the current RUNNING thread.">osSignalWait</a> (0x0001, <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>); <span class="comment">// wait forever for the signal 0x0001</span></div>
+</div><!-- fragment --></li>
+<li>In another thread (or threads) that are supposed to wake the waiting thread up call: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553" title="Set the specified Signal Flags of an active thread.">osSignalSet</a> (tid_thread1, 0x0001);    <span class="comment">// set the signal 0x0001 for thread tid_thread1</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a> (1000);                       <span class="comment">// wait for 1 second</span></div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga01edde265710d883b6e237d34a6ef4a6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_Signals&#160;&#160;&#160;8</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>The CMSIS-RTOS API may support a variable number of signal flags. This define specifies the number of signal flags available per thread. The maximum value is 32 signal flags per thread. </p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga87283a6ebc31ce9ed42baf3ea7e4eab6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t osSignalClear </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>signals</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">signals</td><td>specifies the signal flags of the thread that shall be cleared. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters or call from ISR. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSignalClear</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Clear the signal flags of an active thread.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">void</span> Thread_2 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);</div>
+<div class="line"></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (Thread_2, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2" title="priority: high">osPriorityHigh</a>, 1, 0);</div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> EX_Signal_1 (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  int32_t  signals;</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> thread_id;</div>
+<div class="line">  </div>
+<div class="line">  thread_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(Thread_2), NULL);</div>
+<div class="line">  <span class="keywordflow">if</span> (thread_id == NULL)  {</div>
+<div class="line">    <span class="comment">// Failed to create a thread.</span></div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span>  {</div>
+<div class="line">f    :</div>
+<div class="line">    signals = <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6" title="Clear the specified Signal Flags of an active thread.">osSignalClear</a> (thread_id, 0x01);</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga3de2730654589d6c3559c4b9e2825553"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int32_t osSignalSet </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>signals</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">signals</td><td>specifies the signal flags of the thread that should be set. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSignalSet</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Set the signal flags of an active thread. This function may be used also within interrupt service routines.</p>
+<dl class="section note"><dt>Note</dt><dd><a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a> can call this function.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">void</span> Thread_2 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);</div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (Thread_2, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2" title="priority: high">osPriorityHigh</a>, 1, 0);</div>
+<div class="line"> </div>
+<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> EX_Signal_1 (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  int32_t signals;</div>
+<div class="line">  uint32_t exec;</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> thread_id;</div>
+<div class="line">  </div>
+<div class="line">  thread_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(Thread_2), NULL);</div>
+<div class="line">  <span class="keywordflow">if</span> (thread_id == NULL)  {</div>
+<div class="line">    <span class="comment">// Failed to create a thread.</span></div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span>  {</div>
+<div class="line">    signals = <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553" title="Set the specified Signal Flags of an active thread.">osSignalSet</a> (thread_id, 0x00000005);         <span class="comment">// Send signals to the created thread</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga38860acda96df47da6923348d96fc4c9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a> osSignalWait </td>
+          <td>(</td>
+          <td class="paramtype">int32_t&#160;</td>
+          <td class="paramname"><em>signals</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">signals</td><td>wait until all specified signal flags set or 0 for any single signal flag. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>event flag information or error code. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osSignalWait</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Suspend the execution of the current <b>RUNNING</b> thread until all specified signal flags with the parameter <em>signals</em> are set. When the parameter <em>signals</em> is 0 the current <b>RUNNING</b> thread is suspended until any signal is set. When these signal flags are already set, the function returns instantly. Otherwise the thread is put into the state <b>WAITING</b>. Signal flags that are reported as event are automatically cleared.</p>
+<p>The argument <em>millisec</em> specifies how long the system waits for the specified signal flags. While the system waits the tread calling this function is put into the state <b>WAITING</b>. The timeout value can have the following values:</p>
+<ul>
+<li>when <em>millisec</em> is 0, the function returns instantly.</li>
+<li>when <em>millisec</em> is set to <b>osWaitForever</b> the function will wait for an infinite time until a specified signal is set.</li>
+<li>all other values specify a time in millisecond for a timeout.</li>
+</ul>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> no signal received when the timeout value <em>millisec</em> was 0.</li>
+<li><em>osEventTimeout:</em> signal not occurred within timeout</li>
+<li><em>osEventSignal:</em> signal occurred, <em>value.signals</em> contains the signal flags; these signal flags are cleared.</li>
+<li><em>osErrorValue:</em> the value <em>signals</em> is outside of the permitted range.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9">osSignalWait</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">void</span> Thread_2 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);</div>
+<div class="line">  </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (Thread_2, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2" title="priority: high">osPriorityHigh</a>, 1, 0);</div>
+<div class="line">   </div>
+<div class="line"><span class="keyword">static</span> <span class="keywordtype">void</span> EX_Signal_1 (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> thread_id;</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a> evt;</div>
+<div class="line">    </div>
+<div class="line">  thread_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a>(Thread_2), NULL);</div>
+<div class="line">  <span class="keywordflow">if</span> (thread_id == NULL)  {</div>
+<div class="line">    <span class="comment">// Failed to create a thread.</span></div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span>  {</div>
+<div class="line">    :</div>
+<div class="line">    <span class="comment">// wait for a signal</span></div>
+<div class="line">    evt = <a class="code" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9" title="Wait for one or more Signal Flags to become signaled for the current RUNNING thread.">osSignalWait</a> (0x01, 100);</div>
+<div class="line">    <span class="keywordflow">if</span> (evt.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3" title="status code: event or error information">status</a> == <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518" title="function completed; signal event occurred.">osEventSignal</a>)  {</div>
+<div class="line">          <span class="comment">// handle event status</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___signal_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___signal_mgmt.js
new file mode 100644
index 0000000..825b993
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___signal_mgmt.js
@@ -0,0 +1,7 @@
+var group___c_m_s_i_s___r_t_o_s___signal_mgmt =
+[
+    [ "osFeature_Signals", "group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga01edde265710d883b6e237d34a6ef4a6", null ],
+    [ "osSignalClear", "group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga87283a6ebc31ce9ed42baf3ea7e4eab6", null ],
+    [ "osSignalSet", "group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga3de2730654589d6c3559c4b9e2825553", null ],
+    [ "osSignalWait", "group___c_m_s_i_s___r_t_o_s___signal_mgmt.html#ga38860acda96df47da6923348d96fc4c9", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.html
new file mode 100644
index 0000000..1e6fcb4
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.html
@@ -0,0 +1,198 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Status and Error Codes</title>
+<title>CMSIS-RTOS: Status and Error Codes</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___status.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#enum-members">Enumerations</a>  </div>
+  <div class="headertitle">
+<div class="title">Status and Error Codes</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Status and Error Codes returned by CMSIS-RTOS API functions.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:gae2e091fefc4c767117727bd5aba4d99e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f">osOK</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518">osEventSignal</a> = 0x08, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342">osEventMessage</a> = 0x10, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926">osEventMail</a> = 0x20, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177">osEventTimeout</a> = 0x40, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109">osErrorParameter</a> = 0x80, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d">osErrorResource</a> = 0x81, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467">osErrorTimeoutResource</a> = 0xC1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f">osErrorISR</a> = 0x82, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65">osErrorISRRecursive</a> = 0x83, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f">osErrorPriority</a> = 0x84, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81">osErrorNoMemory</a> = 0x85, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee">osErrorValue</a> = 0x86, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc">osErrorOS</a> = 0xFF, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1">os_status_reserved</a> = 0x7FFFFFFF
+<br/>
+ }</td></tr>
+<tr class="separator:gae2e091fefc4c767117727bd5aba4d99e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Status and Error Codes section lists all the return values that the CMSIS-RTOS functions will return. </p>
+<h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osStatus</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>The <a class="el" href="cmsis__os_8h.html#ae2e091fefc4c767117727bd5aba4d99e">osStatus</a> enumeration defines the event status and error codes that are returned by the CMSIS-RTOS functions. </p>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f"></a>osOK</em>&nbsp;</td><td>
+<p>function completed; no error or event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518"></a>osEventSignal</em>&nbsp;</td><td>
+<p>function completed; signal event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342"></a>osEventMessage</em>&nbsp;</td><td>
+<p>function completed; message event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926"></a>osEventMail</em>&nbsp;</td><td>
+<p>function completed; mail event occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177"></a>osEventTimeout</em>&nbsp;</td><td>
+<p>function completed; timeout occurred. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109"></a>osErrorParameter</em>&nbsp;</td><td>
+<p>parameter error: a mandatory parameter was missing or specified an incorrect object. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d"></a>osErrorResource</em>&nbsp;</td><td>
+<p>resource not available: a specified resource was not available. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467"></a>osErrorTimeoutResource</em>&nbsp;</td><td>
+<p>resource not available within given time: a specified resource was not available within the timeout period. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f"></a>osErrorISR</em>&nbsp;</td><td>
+<p>not allowed in ISR context: the function cannot be called from interrupt service routines. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65"></a>osErrorISRRecursive</em>&nbsp;</td><td>
+<p>function called multiple times from ISR with same object. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f"></a>osErrorPriority</em>&nbsp;</td><td>
+<p>system cannot determine priority or thread has illegal priority. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81"></a>osErrorNoMemory</em>&nbsp;</td><td>
+<p>system is out of memory: it was impossible to allocate or reserve memory for the operation. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee"></a>osErrorValue</em>&nbsp;</td><td>
+<p>value of a parameter is out of range. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc"></a>osErrorOS</em>&nbsp;</td><td>
+<p>unspecified RTOS error: run-time error but no other error message fits. </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1"></a>os_status_reserved</em>&nbsp;</td><td>
+<p>prevent from enum down-size compiler optimization. </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.js
new file mode 100644
index 0000000..a890636
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___status.js
@@ -0,0 +1,20 @@
+var group___c_m_s_i_s___r_t_o_s___status =
+[
+    [ "osStatus", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e", [
+      [ "osOK", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f", null ],
+      [ "osEventSignal", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518", null ],
+      [ "osEventMessage", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342", null ],
+      [ "osEventMail", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926", null ],
+      [ "osEventTimeout", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177", null ],
+      [ "osErrorParameter", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac24adca6a5d072c9f01c32178ba0d109", null ],
+      [ "osErrorResource", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea8fc5801e8b0482bdf22ad63a77f0155d", null ],
+      [ "osErrorTimeoutResource", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea314d24a49003f09459035db0dd7c9467", null ],
+      [ "osErrorISR", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea21635bdc492d3094fe83027fa4a30e2f", null ],
+      [ "osErrorISRRecursive", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf6552310a817452aedfcd453f2805d65", null ],
+      [ "osErrorPriority", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eab7dda0ef504817659334cbfd650ae56f", null ],
+      [ "osErrorNoMemory", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eaf1fac0240218e51eb30a13da2f8aae81", null ],
+      [ "osErrorValue", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea4672c8a0c0f6bb1d7981da4602e8e9ee", null ],
+      [ "osErrorOS", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5fde24ff588ec5ab9cb8314bade26fbc", null ],
+      [ "os_status_reserved", "group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99eac7a77f5fe18a15a357790c36a4aca1b1", null ]
+    ] ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___thread_mgmt.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___thread_mgmt.html
new file mode 100644
index 0000000..117ebfb
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___thread_mgmt.html
@@ -0,0 +1,580 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Thread Management</title>
+<title>CMSIS-RTOS: Thread Management</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___thread_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#enum-members">Enumerations</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Thread Management</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Define, create, and control thread functions.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:gaee93d929beb350f16e5cc7fa602e229f"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f">osThreadDef</a>(name, priority, instances, stacksz)</td></tr>
+<tr class="memdesc:gaee93d929beb350f16e5cc7fa602e229f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a Thread Definition with function, priority, and stack requirements.  <a href="#gaee93d929beb350f16e5cc7fa602e229f"></a><br/></td></tr>
+<tr class="separator:gaee93d929beb350f16e5cc7fa602e229f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">osThread</a>(name)&#160;&#160;&#160;&amp;os_thread_def_##name</td></tr>
+<tr class="memdesc:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Thread definition.  <a href="#gaf0c7c6b5e09f8be198312144b5c9e453"></a><br/></td></tr>
+<tr class="separator:gaf0c7c6b5e09f8be198312144b5c9e453"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:ga7f2b42f1983b9107775ec2a1c69a849a"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81">osPriorityIdle</a> = -3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4">osPriorityLow</a> = -2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6">osPriorityBelowNormal</a> = -1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1">osPriorityNormal</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b">osPriorityAboveNormal</a> = +1, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2">osPriorityHigh</a> = +2, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af">osPriorityRealtime</a> = +3, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4">osPriorityError</a> = 0x84
+<br/>
+ }</td></tr>
+<tr class="separator:ga7f2b42f1983b9107775ec2a1c69a849a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gac59b5713cb083702dce759c73fd90dff"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> (const <a class="el" href="structos_thread_def__t.html">osThreadDef_t</a> *thread_def, void *argument)</td></tr>
+<tr class="memdesc:gac59b5713cb083702dce759c73fd90dff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a thread and add it to Active Threads and set it to state READY.  <a href="#gac59b5713cb083702dce759c73fd90dff"></a><br/></td></tr>
+<tr class="separator:gac59b5713cb083702dce759c73fd90dff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a> (void)</td></tr>
+<tr class="memdesc:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the thread ID of the current running thread.  <a href="#gab1df2a28925862ef8f9cf4e1c995c5a7"></a><br/></td></tr>
+<tr class="separator:gab1df2a28925862ef8f9cf4e1c995c5a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaea135bb90eb853eff39e0800b91bbeab"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:gaea135bb90eb853eff39e0800b91bbeab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Terminate execution of a thread and remove it from Active Threads.  <a href="#gaea135bb90eb853eff39e0800b91bbeab"></a><br/></td></tr>
+<tr class="separator:gaea135bb90eb853eff39e0800b91bbeab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">osThreadSetPriority</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id, <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> priority)</td></tr>
+<tr class="memdesc:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Change priority of an active thread.  <a href="#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"></a><br/></td></tr>
+<tr class="separator:ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga4299d838978bc2aae5e4350754e6a4e9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9">osThreadGetPriority</a> (<a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> thread_id)</td></tr>
+<tr class="memdesc:ga4299d838978bc2aae5e4350754e6a4e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Get current priority of an active thread.  <a href="#ga4299d838978bc2aae5e4350754e6a4e9"></a><br/></td></tr>
+<tr class="separator:ga4299d838978bc2aae5e4350754e6a4e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf13a667493c5d629a90c13e113b99233"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a> (void)</td></tr>
+<tr class="memdesc:gaf13a667493c5d629a90c13e113b99233"><td class="mdescLeft">&#160;</td><td class="mdescRight">Pass control to next thread that is in state <b>READY</b>.  <a href="#gaf13a667493c5d629a90c13e113b99233"></a><br/></td></tr>
+<tr class="separator:gaf13a667493c5d629a90c13e113b99233"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Thread Management function group allows defining, creating, and controlling thread functions in the system. The function <b>main</b> is a special thread function that is started at system initialization and has the initial priority <em>osPriorityNormal</em>.</p>
+<p><a class="anchor" id="ThreadStates"></a>Threads can be in the following states:</p>
+<ul>
+<li><b>RUNNING:</b> The thread that is currently running is in the <b>RUNNING</b> state. Only one thread at a time can be in this state.</li>
+<li><b>READY:</b> Threads which are ready to run are in the <b>READY</b> state. Once the <b>RUNNING</b> thread has terminated or is <b>WAITING</b>, the next <b>READY</b> thread with the highest priority becomes the <b>RUNNING</b> thread.</li>
+<li><b>WAITING:</b> Threads that are waiting for an event to occur are in the <b>WAITING</b> state.</li>
+<li><b>INACTIVE:</b> Threads that are not created or terminated are in the <b>INACTIVE</b> state. These threads typically consume no system resources.</li>
+</ul>
+<div class="image">
+<img src="ThreadStatus.png" alt="ThreadStatus.png"/>
+<div class="caption">
+Thread State and State Transitions</div></div>
+<p> A CMSIS-RTOS assumes that threads are scheduled as shown in the figure <b>Thread State and State Transitions</b>. The thread states change as follows:</p>
+<ul>
+<li>A thread is created using the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a>. This puts the thread into the <b>READY</b> or <b>RUNNING</b> state (depending on the thread priority).</li>
+<li>CMSIS-RTOS is pre-emptive. The active thread with the highest priority becomes the <b>RUNNING</b> thread provided it does not wait for any event. The initial priority of a thread is defined with the <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f">osThreadDef</a> but may be changed during execution using the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">osThreadSetPriority</a>.</li>
+<li>The <b>RUNNING</b> thread transfers into the <b>WAITING</b> state when it is waiting for an event.</li>
+<li>Active threads can be terminated any time using the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a>. Threads can terminate also by just returning from the thread function. Threads that are terminated are in the <b>INACTIVE</b> state and typically do not consume any dynamic memory resources. </li>
+</ul>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="gaf0c7c6b5e09f8be198312144b5c9e453"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osThread</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_thread_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to the thread definition for the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the thread definition object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osThread</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="gaee93d929beb350f16e5cc7fa602e229f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osThreadDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">priority, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">instances, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">stacksz&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define the attributes of a thread functions that can be created by the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> using <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">osThread</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the thread function. </td></tr>
+    <tr><td class="paramname">priority</td><td>initial priority of the thread function. </td></tr>
+    <tr><td class="paramname">instances</td><td>number of possible thread instances. </td></tr>
+    <tr><td class="paramname">stacksz</td><td>stack size (in bytes) requirements for the thread function. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameters to <b>osThreadDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osPriority</b> shall be consistent in every CMSIS-RTOS. </dd>
+<dd>
+Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p>The <a class="el" href="cmsis__os_8h.html#a7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> value specifies the priority for a thread. The default thread priority should be <em>osPriorityNormal</em>. If a Thread is active that has a higher priority than the currently executing thread, then a thread switch occurs immediately to execute the new task.</p>
+<p>To prevent from a priority inversion, a CMSIS-RTOS complained OS may optionally implement a <b>priority inheritance</b> method. A priority inversion occurs when a high priority thread is waiting for a resource or event that is controlled by a thread with a lower priority. </p>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa549e79a43ff4f8b2b31afb613f5caa81"></a>osPriorityIdle</em>&nbsp;</td><td>
+<p>priority: idle (lowest) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa61cb822239ac8f66dfbdc7291598a3d4"></a>osPriorityLow</em>&nbsp;</td><td>
+<p>priority: low </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6"></a>osPriorityBelowNormal</em>&nbsp;</td><td>
+<p>priority: below normal </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1"></a>osPriorityNormal</em>&nbsp;</td><td>
+<p>priority: normal (default) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa17b36cd9cd38652c2bc6d4803990674b"></a>osPriorityAboveNormal</em>&nbsp;</td><td>
+<p>priority: above normal </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa914433934143a9ba767e59577c56e6c2"></a>osPriorityHigh</em>&nbsp;</td><td>
+<p>priority: high </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aa1485dec3702434a1ec3cb74c7a17a4af"></a>osPriorityRealtime</em>&nbsp;</td><td>
+<p>priority: realtime (highest) </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="ga7f2b42f1983b9107775ec2a1c69a849aae35f5e2f9c64ad346822521b643bdea4"></a>osPriorityError</em>&nbsp;</td><td>
+<p>system cannot determine priority or thread has illegal priority </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gac59b5713cb083702dce759c73fd90dff"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> osThreadCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_thread_def__t.html">osThreadDef_t</a> *&#160;</td>
+          <td class="paramname"><em>thread_def</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>argument</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_def</td><td>thread definition referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453">osThread</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">argument</td><td>pointer that is passed to the thread function as start argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>thread ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Start a thread function by adding it to the Active Threads list and set it to state <b>READY</b>. The thread function receives the <em>argument</em> pointer as function argument when the function is started. When the priority of the created thread function is higher than the current <b>RUNNING</b> thread, the created thread function starts instantly and becomes the new <b>RUNNING</b> thread.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                           <span class="comment">// function prototype for Thread_1</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (Thread_1, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);            <span class="comment">// define Thread_1</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> ThreadCreate_example (<span class="keywordtype">void</span>) {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> id;</div>
+<div class="line">  </div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a> (Thread_1), NULL);         <span class="comment">// create the thread</span></div>
+<div class="line">  <span class="keywordflow">if</span> (<span class="keywordtype">id</span> == NULL) {                                        <span class="comment">// handle thread creation</span></div>
+<div class="line">    <span class="comment">// Failed to create a thread</span></div>
+<div class="line">  }</div>
+<div class="line">  :</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab" title="Terminate execution of a thread and remove it from Active Threads.">osThreadTerminate</a> (<span class="keywordtype">id</span>);                                  <span class="comment">// stop the thread</span></div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gab1df2a28925862ef8f9cf4e1c995c5a7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a> osThreadGetId </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section return"><dt>Returns</dt><dd>thread ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadGetId</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Get the thread ID of the current running thread.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="keywordtype">void</span> ThreadGetId_example (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> id;                                           <span class="comment">// id for the currently running thread</span></div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7" title="Return the thread ID of the current running thread.">osThreadGetId</a> ();</div>
+<div class="line">  <span class="keywordflow">if</span> (<span class="keywordtype">id</span> == NULL) {</div>
+<div class="line">    <span class="comment">// Failed to get the id; not in a thread</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga4299d838978bc2aae5e4350754e6a4e9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> osThreadGetPriority </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>current priority value of the thread function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadGetPriority</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Get the priority of an active thread. In case of a failure the value <b>osPriorityError</b> is returned.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {                         <span class="comment">// Thread function</span></div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> id;                                           <span class="comment">// id for the currently running thread</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> priority;                                     <span class="comment">// thread priority</span></div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7" title="Return the thread ID of the current running thread.">osThreadGetId</a> ();                                   <span class="comment">// Obtain ID of current running thread</span></div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">if</span> (<span class="keywordtype">id</span> != NULL)  {</div>
+<div class="line">    priority = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga4299d838978bc2aae5e4350754e6a4e9" title="Get current priority of an active thread.">osThreadGetPriority</a> (<span class="keywordtype">id</span>);</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span>  {</div>
+<div class="line">    <span class="comment">// Failed to get the id</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga0dfb90ccf1f6e4b54b9251b12d1cbc8b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osThreadSetPriority </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a>&#160;</td>
+          <td class="paramname"><em>priority</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">priority</td><td>new priority value for the thread function. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadSetPriority</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Change the priority of an active thread.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the priority of the specified thread has been successfully changed.</li>
+<li><em>osErrorParameter:</em> thread_id is incorrect.</li>
+<li><em>osErrorValue:</em> incorrect priority value.</li>
+<li><em>osErrorResource:</em> thread_id refers to a thread that is not an active thread.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b">osThreadSetPriority</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {                         <span class="comment">// Thread function</span></div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> id;                                           <span class="comment">// id for the currently running thread</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a">osPriority</a> pr;                                           <span class="comment">// thread priority</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>   status;                                       <span class="comment">// status of the executed function</span></div>
+<div class="line">   </div>
+<div class="line">  :  </div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7" title="Return the thread ID of the current running thread.">osThreadGetId</a> ();                                   <span class="comment">// Obtain ID of current running thread</span></div>
+<div class="line">   </div>
+<div class="line">  <span class="keywordflow">if</span> (<span class="keywordtype">id</span> != NULL) {</div>
+<div class="line">    status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga0dfb90ccf1f6e4b54b9251b12d1cbc8b" title="Change priority of an active thread.">osThreadSetPriority</a> (<span class="keywordtype">id</span>, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa193b650117c209b4a203954542bcc3e6" title="priority: below normal">osPriorityBelowNormal</a>);</div>
+<div class="line">    <span class="keywordflow">if</span> (status == <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// Thread priority changed to BelowNormal</span></div>
+<div class="line">    }</div>
+<div class="line">    <span class="keywordflow">else</span> {</div>
+<div class="line">      <span class="comment">// Failed to set the priority</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span>  {</div>
+<div class="line">    <span class="comment">// Failed to get the id</span></div>
+<div class="line">  }</div>
+<div class="line">  :  </div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gaea135bb90eb853eff39e0800b91bbeab"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osThreadTerminate </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f">osThreadId</a>&#160;</td>
+          <td class="paramname"><em>thread_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">thread_id</td><td>thread ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff">osThreadCreate</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gab1df2a28925862ef8f9cf4e1c995c5a7">osThreadGetId</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadTerminate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Remove the thread function from the active thread list. If the thread is currently RUNNING the execution will stop.</p>
+<dl class="section note"><dt>Note</dt><dd>In case that <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a> terminates the currently running task, the function never returns and other threads that are in the READY state are started.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the specified thread has been successfully terminated.</li>
+<li><em>osErrorParameter:</em> thread_id is incorrect.</li>
+<li><em>osErrorResource:</em> thread_id refers to a thread that is not an active thread.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab">osThreadTerminate</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                           <span class="comment">// function prototype for Thread_1</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f" title="Create a Thread Definition with function, priority, and stack requirements.">osThreadDef</a> (Thread_1, <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849aa45a2895ad30c79fb97de18cac7cc19f1" title="priority: normal (default)">osPriorityNormal</a>, 1, 0);            <span class="comment">// define Thread_1</span></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">void</span> ThreadTerminate_example (<span class="keywordtype">void</span>) {</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#adfeb153a84a81309e2d958268197617f" title="Thread ID identifies the thread (pointer to a thread control block).">osThreadId</a> id;</div>
+<div class="line"> </div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gac59b5713cb083702dce759c73fd90dff" title="Create a thread and add it to Active Threads and set it to state READY.">osThreadCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453" title="Access a Thread definition.">osThread</a> (Thread_1), NULL);         <span class="comment">// create the thread</span></div>
+<div class="line">  :  </div>
+<div class="line">  status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab" title="Terminate execution of a thread and remove it from Active Threads.">osThreadTerminate</a> (<span class="keywordtype">id</span>);                         <span class="comment">// stop the thread</span></div>
+<div class="line">  <span class="keywordflow">if</span> (status == <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>) {</div>
+<div class="line">    <span class="comment">// Thread was terminated successfully</span></div>
+<div class="line">  }</div>
+<div class="line">  <span class="keywordflow">else</span> {</div>
+<div class="line">    <span class="comment">// Failed to terminate a thread</span></div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="gaf13a667493c5d629a90c13e113b99233"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osThreadYield </td>
+          <td>(</td>
+          <td class="paramtype">void&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osThreadYield</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Pass control to the next thread that is in state <b>READY</b>. If there is no other thread in the state <b>READY</b>, the current thread continues execution and no thread switching occurs.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the function has been correctly executed.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {                         <span class="comment">// Thread function</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>   status;                                       <span class="comment">// status of the executed function</span></div>
+<div class="line">  :</div>
+<div class="line">  <span class="keywordflow">while</span> (1)  {</div>
+<div class="line">    status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233" title="Pass control to next thread that is in state READY.">osThreadYield</a>();                              <span class="comment">// </span></div>
+<div class="line">    <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// thread switch not occurred, not in a thread function</span></div>
+<div class="line">    }</div>
+<div class="line">  }</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___thread_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___thread_mgmt.js
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@@ -0,0 +1,21 @@
+var group___c_m_s_i_s___r_t_o_s___thread_mgmt =
+[
+    [ "osThread", "group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf0c7c6b5e09f8be198312144b5c9e453", null ],
+    [ "osThreadDef", "group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaee93d929beb350f16e5cc7fa602e229f", null ],
+    [ "osPriority", "group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#ga7f2b42f1983b9107775ec2a1c69a849a", [
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+    [ "osThreadTerminate", "group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaea135bb90eb853eff39e0800b91bbeab", null ],
+    [ "osThreadYield", "group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___timer_mgmt.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___timer_mgmt.html
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Timer Management</title>
+<title>CMSIS-RTOS: Timer Management</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
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+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___timer_mgmt.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#enum-members">Enumerations</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Timer Management</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Create and control timer and timer callback functions.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga1c720627e08d1cc1afcad44e799ed492"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492">osTimerDef</a>(name, function)</td></tr>
+<tr class="memdesc:ga1c720627e08d1cc1afcad44e799ed492"><td class="mdescLeft">&#160;</td><td class="mdescRight">Define a Timer object.  <a href="#ga1c720627e08d1cc1afcad44e799ed492"></a><br/></td></tr>
+<tr class="separator:ga1c720627e08d1cc1afcad44e799ed492"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga1b8d670eaf964b2910fa06885e650678"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678">osTimer</a>(name)&#160;&#160;&#160;&amp;os_timer_def_##name</td></tr>
+<tr class="memdesc:ga1b8d670eaf964b2910fa06885e650678"><td class="mdescLeft">&#160;</td><td class="mdescRight">Access a Timer definition.  <a href="#ga1b8d670eaf964b2910fa06885e650678"></a><br/></td></tr>
+<tr class="separator:ga1b8d670eaf964b2910fa06885e650678"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="enum-members"></a>
+Enumerations</h2></td></tr>
+<tr class="memitem:gadac860eb9e1b4b0619271e6595ed83d9"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> { <br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951">osTimerOnce</a> = 0, 
+<br/>
+&#160;&#160;<a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788">osTimerPeriodic</a> = 1
+<br/>
+ }</td></tr>
+<tr class="separator:gadac860eb9e1b4b0619271e6595ed83d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a> (const <a class="el" href="structos_timer_def__t.html">osTimerDef_t</a> *timer_def, <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> type, void *argument)</td></tr>
+<tr class="memdesc:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Create a timer.  <a href="#gaedd312bfdca04e0b8162b666e09a1ae6"></a><br/></td></tr>
+<tr class="separator:gaedd312bfdca04e0b8162b666e09a1ae6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga27a797a401b068e2644d1125f22a07ca"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id, uint32_t millisec)</td></tr>
+<tr class="memdesc:ga27a797a401b068e2644d1125f22a07ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Start or restart a timer.  <a href="#ga27a797a401b068e2644d1125f22a07ca"></a><br/></td></tr>
+<tr class="separator:ga27a797a401b068e2644d1125f22a07ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga58f36b121a812936435cacc6e1e0e091"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">osTimerStop</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id)</td></tr>
+<tr class="memdesc:ga58f36b121a812936435cacc6e1e0e091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Stop the timer.  <a href="#ga58f36b121a812936435cacc6e1e0e091"></a><br/></td></tr>
+<tr class="separator:ga58f36b121a812936435cacc6e1e0e091"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga746b8043d906849bd65e3900fcb483cf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">osTimerDelete</a> (<a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> timer_id)</td></tr>
+<tr class="memdesc:ga746b8043d906849bd65e3900fcb483cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a timer that was created by <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>.  <a href="#ga746b8043d906849bd65e3900fcb483cf"></a><br/></td></tr>
+<tr class="separator:ga746b8043d906849bd65e3900fcb483cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>In addition to the <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html">Generic Wait Functions</a> CMSIS-RTOS also supports virtual timer objects. These timer objects can trigger the execution of a function (not threads). When a timer expires, a callback function is executed to run associated code with the timer. The timer number is passed as a parameter to the callback function. Each timer can be configured as a one-shot or a periodic timer. A periodic timer repeats its operation until it is <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">deleted</a> or <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">stopped</a>. All timers can be <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">started, restarted</a>, or <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">stopped</a>.</p>
+<p>Timers are handled in the thread <b>osTimerThread</b>. Callback functions run under control of this thread and may use other CMSIS-RTOS API calls.</p>
+<p>The figure below shows the behavior of a periodic timer. For one-shot timers, the timer stops after execution of the callback function.</p>
+<div class="image">
+<img src="Timer.png" alt="Timer.png"/>
+<div class="caption">
+Behavior of a Periodic Timer</div></div>
+ <h2>Working with Timers</h2>
+<p>The following steps are required to use a timer:</p>
+<ol type="1">
+<li>Define the timers: <div class="fragment"><div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a>(one_shot, start_machine);  <span class="comment">// when the timer expires, the function start_machine is called</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a>(periodic, toggle_power);   <span class="comment">// when the timer expires, the function toggle_power is called</span></div>
+<div class="line"><a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> one_shot_id, periodic_id;</div>
+</div><!-- fragment --></li>
+<li>Instantiate and start the timers in an RTOS thread: <div class="fragment"><div class="line">one_shot_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(one_shot), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951" title="one-shot timer">osTimerOnce</a>, (<span class="keywordtype">void</span> *)0);      <span class="comment">// creates a one-shot timer;</span></div>
+<div class="line">                                                                             <span class="comment">// (void*)0 is passed as an argument to the callback function</span></div>
+<div class="line">periodic_id = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a>(<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(periodic), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>, (<span class="keywordtype">void</span> *)5);  <span class="comment">// creates a periodic timer;</span></div>
+<div class="line">                                                                             <span class="comment">// (void*)5 is passed as an argument to the callback function</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a>(one_shot_id, 500);</div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a>(periodic, 1500);</div>
+</div><!-- fragment --> </li>
+</ol>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga1b8d670eaf964b2910fa06885e650678"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osTimer</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name</td><td>)</td>
+          <td>&#160;&#160;&#160;&amp;os_timer_def_##name</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Access to the timer definition for the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the timer object. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osTimer</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<a class="anchor" id="ga1c720627e08d1cc1afcad44e799ed492"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osTimerDef</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">name, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">function&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Define the attributes of a timer.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">name</td><td>name of the timer object. </td></tr>
+    <tr><td class="paramname">function</td><td>name of the timer call back function. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: The parameter to <b>osTimerDef</b> shall be consistent but the macro body is implementation specific in every CMSIS-RTOS. </dd></dl>
+
+</div>
+</div>
+<h2 class="groupheader">Enumeration Type Documentation</h2>
+<a class="anchor" id="gadac860eb9e1b4b0619271e6595ed83d9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">enum <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>os_timer_type</b> shall be consistent in every CMSIS-RTOS. The <a class="el" href="cmsis__os_8h.html#adac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a> specifies the a repeating (periodic) or one-shot timer for the function <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>. </dd></dl>
+<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
+<tr><td valign="top"><em><a class="anchor" id="gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951"></a>osTimerOnce</em>&nbsp;</td><td>
+<p>one-shot timer </p>
+</td></tr>
+<tr><td valign="top"><em><a class="anchor" id="gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788"></a>osTimerPeriodic</em>&nbsp;</td><td>
+<p>repeating timer </p>
+</td></tr>
+</table>
+</dd>
+</dl>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="gaedd312bfdca04e0b8162b666e09a1ae6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a> osTimerCreate </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structos_timer_def__t.html">osTimerDef_t</a> *&#160;</td>
+          <td class="paramname"><em>timer_def</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9">os_timer_type</a>&#160;</td>
+          <td class="paramname"><em>type</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>argument</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">timer_def</td><td>timer object referenced with <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678">osTimer</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">type</td><td>osTimerOnce for one-shot or osTimerPeriodic for periodic behavior. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">argument</td><td>argument to the timer call back function. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>timer ID for reference by other functions or NULL in case of error. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osTimerCreate</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Create a one-shot or periodic timer and associate it with a callback function argument. The timer is in stopped until it is started with <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a>.</p>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Timer1_Callback  (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                   <span class="comment">// prototypes for timer callback function</span></div>
+<div class="line"><span class="keywordtype">void</span> Timer2_Callback  (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                   </div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a> (Timer1, Timer1_Callback);                      <span class="comment">// define timers</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a> (Timer2, Timer2_Callback);</div>
+<div class="line"> </div>
+<div class="line">uint32_t  exec1;                                           <span class="comment">// argument for the timer call back function</span></div>
+<div class="line">uint32_t  exec2;                                           <span class="comment">// argument for the timer call back function</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> TimerCreate_example (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> id1;                                           <span class="comment">// timer id</span></div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> id2;                                           <span class="comment">// timer id</span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// Create one-shoot timer</span></div>
+<div class="line">  exec1 = 1;</div>
+<div class="line">  id1 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(Timer1), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951" title="one-shot timer">osTimerOnce</a>, &amp;exec1);</div>
+<div class="line">  <span class="keywordflow">if</span> (id1 != NULL)  {</div>
+<div class="line">    <span class="comment">// One-shoot timer created</span></div>
+<div class="line">  }</div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// Create periodic timer</span></div>
+<div class="line">  exec2 = 2;</div>
+<div class="line">  id2 = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(Timer2), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>, &amp;exec2);</div>
+<div class="line">  <span class="keywordflow">if</span> (id2 != NULL)  {</div>
+<div class="line">    <span class="comment">// Periodic timer created</span></div>
+<div class="line">  }</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga746b8043d906849bd65e3900fcb483cf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osTimerDelete </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a>&#160;</td>
+          <td class="paramname"><em>timer_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">timer_id</td><td>timer ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osTimerDelete</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Delete the timer object.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the specified timer has been deleted.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">osTimerDelete</a> cannot be called from interrupt service routines.</li>
+<li><em>osErrorParameter:</em> <em>timer_id</em> is incorrect.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"></div>
+<div class="line"><span class="keywordtype">void</span> Timer_Callback  (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                    <span class="comment">// prototype for timer callback function</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a> (Timer, Timer_Callback);                        <span class="comment">// define timer</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> TimerDelete_example (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> id;                                            <span class="comment">// timer id</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;                                         <span class="comment">// function return status  </span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// Create periodic timer</span></div>
+<div class="line">  exec = 1;</div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(Timer2), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>, NULL);</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a> (<span class="keywordtype">id</span>, 1000UL);                               <span class="comment">// start timer</span></div>
+<div class="line">  :</div>
+<div class="line">  status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf" title="Delete a timer that was created by osTimerCreate.">osTimerDelete</a> (<span class="keywordtype">id</span>);                             <span class="comment">// stop and delete timer</span></div>
+<div class="line">  <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">    <span class="comment">// Timer could not be deleted</span></div>
+<div class="line">  } </div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga27a797a401b068e2644d1125f22a07ca"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osTimerStart </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a>&#160;</td>
+          <td class="paramname"><em>timer_id</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">timer_id</td><td>timer ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">time delay</a> value of the timer. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osTimerStart</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Start or restart the timer.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the specified timer has been started or restarted.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a> cannot be called from interrupt service routines.</li>
+<li><em>osErrorParameter:</em> <em>timer_id</em> is incorrect.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Time_Callback  (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {                   <span class="comment">// timer callback function</span></div>
+<div class="line">                                                           <span class="comment">// arg contains &amp;exec</span></div>
+<div class="line">                                                           <span class="comment">// called every second after osTimerStart</span></div>
+<div class="line">} </div>
+<div class="line"> </div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a> (Timer, Time_Callback);                         <span class="comment">// define timer</span></div>
+<div class="line">uint32_t  exec;                                            <span class="comment">// argument for the timer call back function</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> TimerStart_example (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> id;                                            <span class="comment">// timer id</span></div>
+<div class="line">  uint32_t  timerDelay;                                    <span class="comment">// timer value</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>  status;                                        <span class="comment">// function return status</span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// Create periodic timer</span></div>
+<div class="line">  exec = 1;</div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(Timer), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>, &amp;exec);</div>
+<div class="line">  <span class="keywordflow">if</span> (<span class="keywordtype">id</span>)  {</div>
+<div class="line">    timerDelay = 1000;</div>
+<div class="line">    status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a> (<span class="keywordtype">id</span>, timerDelay);                <span class="comment">// start timer</span></div>
+<div class="line">    <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">      <span class="comment">// Timer could not be started</span></div>
+<div class="line">    } </div>
+<div class="line">  }</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga58f36b121a812936435cacc6e1e0e091"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osTimerStop </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7">osTimerId</a>&#160;</td>
+          <td class="paramname"><em>timer_id</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">timer_id</td><td>timer ID obtained by <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a>. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osTimerStop</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Stop the timer.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osOK:</em> the specified timer has been stopped.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091">osTimerStop</a> cannot be called from interrupt service routines.</li>
+<li><em>osErrorParameter:</em> <em>timer_id</em> is incorrect.</li>
+<li><em>osErrorResource:</em> the timer is not started.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Timer_Callback  (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg);                    <span class="comment">// prototype for timer callback function</span></div>
+<div class="line"><a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492" title="Define a Timer object.">osTimerDef</a> (Timer, Timer_Callback);                        <span class="comment">// define timer</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> TimerStop_example (<span class="keywordtype">void</span>)  {</div>
+<div class="line">  <a class="code" href="cmsis__os_8h.html#ab8530dd4273f1f5382187732e14fcaa7" title="Timer ID identifies the timer (pointer to a timer control block).">osTimerId</a> id;                                            <span class="comment">// timer id</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;                                         <span class="comment">// function return status</span></div>
+<div class="line"> </div>
+<div class="line">  <span class="comment">// Create periodic timer</span></div>
+<div class="line">  exec = 1;</div>
+<div class="line">  <span class="keywordtype">id</span> = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6" title="Create a timer.">osTimerCreate</a> (<a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678" title="Access a Timer definition.">osTimer</a>(Timer2), <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788" title="repeating timer">osTimerPeriodic</a>, NULL);</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a> (<span class="keywordtype">id</span>, 1000);                                 <span class="comment">// start timer</span></div>
+<div class="line">  :</div>
+<div class="line">  status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091" title="Stop the timer.">osTimerStop</a> (<span class="keywordtype">id</span>);                               <span class="comment">// stop timer</span></div>
+<div class="line">  <span class="keywordflow">if</span> (status != <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea9e1c9e2550bb4de8969a935acffc968f" title="function completed; no error or event occurred.">osOK</a>)  {</div>
+<div class="line">    <span class="comment">// Timer could not be stopped</span></div>
+<div class="line">  } </div>
+<div class="line">  :</div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca" title="Start or restart a timer.">osTimerStart</a> (<span class="keywordtype">id</span>, 1000);                                 <span class="comment">// start timer again</span></div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___timer_mgmt.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___timer_mgmt.js
new file mode 100644
index 0000000..60f1ace
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___timer_mgmt.js
@@ -0,0 +1,13 @@
+var group___c_m_s_i_s___r_t_o_s___timer_mgmt =
+[
+    [ "osTimer", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1b8d670eaf964b2910fa06885e650678", null ],
+    [ "osTimerDef", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga1c720627e08d1cc1afcad44e799ed492", null ],
+    [ "os_timer_type", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9", [
+      [ "osTimerOnce", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ad21712f8df5f97069c82dc9eec37b951", null ],
+      [ "osTimerPeriodic", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gadac860eb9e1b4b0619271e6595ed83d9ab9c91f9699162edb09bb7c90c11c8788", null ]
+    ] ],
+    [ "osTimerCreate", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6", null ],
+    [ "osTimerDelete", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf", null ],
+    [ "osTimerStart", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca", null ],
+    [ "osTimerStop", "group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga58f36b121a812936435cacc6e1e0e091", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.html b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.html
new file mode 100644
index 0000000..c0eafec
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.html
@@ -0,0 +1,254 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Generic Wait Functions</title>
+<title>CMSIS-RTOS: Generic Wait Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
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+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+       class="ui-resizable-handle">
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+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('group___c_m_s_i_s___r_t_o_s___wait.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">Generic Wait Functions</div>  </div>
+<div class="ingroups"><a class="el" href="group___c_m_s_i_s___r_t_o_s.html">CMSIS-RTOS API</a></div></div><!--header-->
+<div class="contents">
+
+<p>Wait for a time period or unspecified events.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
+<tr class="memitem:ga6c97d38879ae86491628f6e647639bad"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">osFeature_Wait</a>&#160;&#160;&#160;1</td></tr>
+<tr class="memdesc:ga6c97d38879ae86491628f6e647639bad"><td class="mdescLeft">&#160;</td><td class="mdescRight">osWait function: 1=available, 0=not available  <a href="#ga6c97d38879ae86491628f6e647639bad"></a><br/></td></tr>
+<tr class="separator:ga6c97d38879ae86491628f6e647639bad"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga02e19d5e723bfb06ba9324d625162255"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> (uint32_t millisec)</td></tr>
+<tr class="memdesc:ga02e19d5e723bfb06ba9324d625162255"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for Timeout (Time Delay).  <a href="#ga02e19d5e723bfb06ba9324d625162255"></a><br/></td></tr>
+<tr class="separator:ga02e19d5e723bfb06ba9324d625162255"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga8470c8aaedfde524a44e22e5b2328285"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> (uint32_t millisec)</td></tr>
+<tr class="memdesc:ga8470c8aaedfde524a44e22e5b2328285"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wait for Signal, Message, Mail, or Timeout.  <a href="#ga8470c8aaedfde524a44e22e5b2328285"></a><br/></td></tr>
+<tr class="separator:ga8470c8aaedfde524a44e22e5b2328285"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<p>The Generic Wait function group provides means for a time delay and allow to wait for unspecified events. </p>
+<h2 class="groupheader">Macro Definition Documentation</h2>
+<a class="anchor" id="ga6c97d38879ae86491628f6e647639bad"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">#define osFeature_Wait&#160;&#160;&#160;1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>A CMSIS-RTOS implementation may support the generic wait function <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a>.</p>
+<ul>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">osFeature_Wait</a> is 1 a generic wait function <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> is available.</li>
+<li>When <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad">osFeature_Wait</a> is 0 no generic wait function <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> is available. </li>
+</ul>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga02e19d5e723bfb06ba9324d625162255"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> osDelay </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">time delay</a> value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>status code that indicates the execution status of the function.</dd></dl>
+<p>Wait for a specified time period in <em>millisec</em>.</p>
+<p>The <a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">millisec</a> value specifies the number of timer ticks and is therefore an upper bound. The exact time delay depends on the actual time elapsed since the last timer tick.</p>
+<p>For a value of <b>1</b>, the system waits until the next timer tick occurs. That means that the actual time delay may be up to one timer tick less.</p>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osEventTimeout:</em> the time delay is executed.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {               <span class="comment">// Thread function</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99e">osStatus</a> status;                               <span class="comment">// capture the return status</span></div>
+<div class="line">  uint32_t delayTime;                            <span class="comment">// delay time in milliseconds</span></div>
+<div class="line"> </div>
+<div class="line">  delayTime = 1000;                              <span class="comment">// delay 1 second</span></div>
+<div class="line">  :</div>
+<div class="line">  status = <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255" title="Wait for Timeout (Time Delay).">osDelay</a> (delayTime);                  <span class="comment">// suspend thread execution</span></div>
+<div class="line">    <span class="comment">// handle error code</span></div>
+<div class="line">  :  </div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+<a class="anchor" id="ga8470c8aaedfde524a44e22e5b2328285"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event">osEvent</a> osWait </td>
+          <td>(</td>
+          <td class="paramtype">uint32_t&#160;</td>
+          <td class="paramname"><em>millisec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">millisec</td><td><a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a> or 0 in case of no time-out </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>event that contains signal, message, or mail information or error code. </dd></dl>
+<dl class="section note"><dt>Note</dt><dd>MUST REMAIN UNCHANGED: <b>osWait</b> shall be consistent in every CMSIS-RTOS.</dd></dl>
+<p>Wait for any event of the type Signal, Message, Mail for a specified time period in <em>millisec</em>. While the system waits, the thread that is calling this function is put into the state <b>WAITING</b>. When <em>millisec</em> is set to <b>osWaitForever</b>, the function will wait for an infinite time until an event occurs.</p>
+<p>The osWait function puts a thread into the state <b>WAITING</b> and waits for any of the following events:</p>
+<ul>
+<li>A <b>signal</b> sent to that thread explicitly</li>
+<li>A <b>message</b> from a message object that is registered to that thread</li>
+<li>A <b>mail</b> from a mail object that is registered to that thread</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>This function is optional and may not be provided by all CMSIS-RTOS implementations.</dd></dl>
+<p><b><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html">Status and Error Codes</a></b><br/>
+</p>
+<ul>
+<li><em>osEventSignal:</em> a signal event occurred and is returned.</li>
+<li><em>osEventMessage:</em> a message event occurred and is returned.</li>
+<li><em>osEventMail:</em> a mail event occurred and is returned.</li>
+<li><em>osEventTimeout:</em> the time delay is executed.</li>
+<li><em>osErrorISR:</em> <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> cannot be called from interrupt service routines.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>Cannot be called from <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">Interrupt Service Routines</a>.</dd></dl>
+<p><b>Code Example</b> </p>
+<div class="fragment"><div class="line"><span class="preprocessor">#include &quot;<a class="code" href="cmsis__os_8h.html">cmsis_os.h</a>&quot;</span></div>
+<div class="line"> </div>
+<div class="line"><span class="keywordtype">void</span> Thread_1 (<span class="keywordtype">void</span> <span class="keyword">const</span> *arg)  {               <span class="comment">// Thread function</span></div>
+<div class="line">  <a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event" title="Event structure contains detailed information about an event.">osEvent</a>  Event;                                <span class="comment">// capture the event</span></div>
+<div class="line">  uint32_t waitTime;                             <span class="comment">// wait time in milliseconds</span></div>
+<div class="line">  </div>
+<div class="line">  :</div>
+<div class="line">  waitTime = <a class="code" href="cmsis__os_8h.html#a9eb9a7a797a42e4b55eb171ecc609ddb" title="Timeout value.">osWaitForever</a>;                      <span class="comment">// special &quot;wait&quot; value</span></div>
+<div class="line">  Event = <a class="code" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285" title="Wait for Signal, Message, Mail, or Timeout.">osWait</a> (waitTime);                     <span class="comment">// wait forever and until an event occurred</span></div>
+<div class="line">  <span class="keywordflow">switch</span> (Event.<a class="code" href="group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3" title="status code: event or error information">status</a>)  {</div>
+<div class="line">    <span class="keywordflow">case</span> <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea5df7e9643aa8a2f5f3a6f6ec59758518" title="function completed; signal event occurred.">osEventSignal</a>:                          <span class="comment">// Signal arrived</span></div>
+<div class="line">        :                                        <span class="comment">// Event.value.signals contains the signal flags</span></div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line"> </div>
+<div class="line">    <span class="keywordflow">case</span> <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ead604f3673359dd4ac643b16dc5a2c342" title="function completed; message event occurred.">osEventMessage</a>:                         <span class="comment">// Message arrived</span></div>
+<div class="line">        :                                        <span class="comment">// Event.value.p contains the message pointer</span></div>
+<div class="line">        :                                        <span class="comment">// Event.def.message_id contains the message Id</span></div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line"> </div>
+<div class="line">    <span class="keywordflow">case</span> <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea15b12e42b42b53f35fb8a2724ad02926" title="function completed; mail event occurred.">osEventMail</a>:                            <span class="comment">// Mail arrived</span></div>
+<div class="line">        :                                        <span class="comment">// Event.value.p contains the mail pointer</span></div>
+<div class="line">        :                                        <span class="comment">// Event.def.mail_id contains the mail Id</span></div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line"> </div>
+<div class="line">    <span class="keywordflow">case</span> <a class="code" href="group___c_m_s_i_s___r_t_o_s___status.html#gae2e091fefc4c767117727bd5aba4d99ea78f477732375c0e1fca814e369618177" title="function completed; timeout occurred.">osEventTimeout</a>:                         <span class="comment">// Timeout occurred</span></div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line"> </div>
+<div class="line">    <span class="keywordflow">default</span>:                                     <span class="comment">// Error occurred</span></div>
+<div class="line">      <span class="keywordflow">break</span>;</div>
+<div class="line">  }</div>
+<div class="line">  :</div>
+<div class="line">}</div>
+</div><!-- fragment --> 
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
diff --git a/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.js b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.js
new file mode 100644
index 0000000..6694d9f
--- /dev/null
+++ b/Documentation/RTOS/html/group___c_m_s_i_s___r_t_o_s___wait.js
@@ -0,0 +1,6 @@
+var group___c_m_s_i_s___r_t_o_s___wait =
+[
+    [ "osFeature_Wait", "group___c_m_s_i_s___r_t_o_s___wait.html#ga6c97d38879ae86491628f6e647639bad", null ],
+    [ "osDelay", "group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255", null ],
+    [ "osWait", "group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285", null ]
+];
\ No newline at end of file
diff --git a/Documentation/RTOS/html/index.html b/Documentation/RTOS/html/index.html
new file mode 100644
index 0000000..e9c7e27
--- /dev/null
+++ b/Documentation/RTOS/html/index.html
@@ -0,0 +1,148 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Overview</title>
+<title>CMSIS-RTOS: Overview</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li class="current"><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('index.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Overview </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><p>The CMSIS-RTOS API is a generic RTOS interface for ARM&reg; Cortex&reg;-M processor-based devices. CMSIS-RTOS provides a standardized API for software components that require RTOS functionality and gives therefore serious benefits to the users and the software industry.</p>
+<ul>
+<li>CMSIS-RTOS provides basic features that are required in many applications or technologies such as UML or Java (JVM).</li>
+<li>The unified feature set of the CMSIS-RTOS API simplifies sharing of software components and reduces learning efforts.</li>
+<li>Middleware components that use the CMSIS-RTOS API are RTOS agnostic. CMSIS-RTOS compliant middleware is easier to adapt.</li>
+<li>Standard project templates (such as motor control) of the CMSIS-RTOS API may be shipped with freely available CMSIS-RTOS implementations.</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>The CMSIS-RTOS API defines a minimum feature set. Implementations with extended features may be provided by RTOS vendors.</dd></dl>
+<div class="image">
+<img src="API_Structure.png" alt="API_Structure.png"/>
+<div class="caption">
+CMSIS-RTOS API Structure</div></div>
+<p> A typical CMSIS-RTOS API implementation interfaces to an existing real-time Kernel. The CMSIS-RTOS API provides the following attributes and functionalities:</p>
+<ul>
+<li>Function names, identifiers, and parameters are descriptive and easy to understand. The functions are powerful and flexible which reduces the number of functions exposed to the user.</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html">Thread Management</a> allows you to define, create, and control threads.</li>
+<li>Interrupt Service Routines (ISR) can <a class="el" href="_function_overview.html#CMSIS_RTOS_ISR_Calls">call some CMSIS-RTOS functions</a>. When a CMSIS-RTOS function cannot be called from ISR context, it rejects the invocation.</li>
+<li>Three different thread event types support communication between multiple threads and/or ISR:<ul>
+<li><b>Signal:</b> is a flag that may be used to indicate specific conditions to a thread. Signals can be modified in an ISR or set from other threads.</li>
+<li><b>Message:</b> is a 32-bit value that can be sent to a thread or an ISR. Messages are buffered in a queue. The message type and queue size is defined in a descriptor.</li>
+<li><b>Mail:</b> is a fixed-size memory block that can be sent to a thread or an ISR. Mails are buffered in a queue and memory allocation is provided. The mail type and queue size is defined in a descriptor.</li>
+</ul>
+</li>
+<li><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html">Mutexes</a> and <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html">Semaphores</a> are incorporated.</li>
+<li>CPU time can be schedule with the following functionalities:<ul>
+<li>A <em>timeout</em> parameter is incorporated in many CMSIS-RTOS functions to avoid system lockup. When a timeout is specified, the system waits until a resource is available or an event occurs. While waiting, other threads are scheduled.</li>
+<li>The <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga02e19d5e723bfb06ba9324d625162255">osDelay</a> function puts a thread into the state <b>WAITING</b> for a specified period of time.</li>
+<li>The generic <a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html#ga8470c8aaedfde524a44e22e5b2328285">osWait</a> function waits for events that are assigned to a thread.</li>
+<li>The <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a> provides co-operative thread switching and passes execution to another thread of the same priority.</li>
+</ul>
+</li>
+</ul>
+<p>The CMSIS-RTOS API is designed to optionally incorporate multi-processor systems and/or access protection via the Cortex-M Memory Protection Unit (MPU).</p>
+<p>In some RTOS implementations threads may execute on different processors and <b>Mail</b> and <b>Message</b> queues can therefore reside in shared memory resources.</p>
+<p>The CMSIS-RTOS API encourages the software industry to evolve existing RTOS implementations. Kernel objects are defined and accessed using macros. This allows differentiation. RTOS implementations can be different and optimized in various aspects towards the Cortex-M processors. Optional features may be for example</p>
+<ul>
+<li>Generic <b>wait</b> function; i.e. with support of time intervals.</li>
+<li>Support of the Cortex-M Memory Protection Unit (MPU).</li>
+<li>Zero-copy mail queue.</li>
+<li>Support of multi-processor systems.</li>
+<li>Support of a DMA controller.</li>
+<li>Deterministic context switching.</li>
+<li>Round-robin context switching.</li>
+<li>Deadlock avoidance, for example with priority inversion.</li>
+<li>Zero interrupt latency by using the Cortex-M3/M4 instructions LDEX and STEX.</li>
+</ul>
+<hr/>
+<h2>CMSIS-RTOS in ARM::CMSIS Pack</h2>
+<p>The following files relevant to CMSIS-RTOS are present in the <b>ARM::CMSIS</b> Pack directories: </p>
+<table class="doxtable">
+<tr>
+<th>File/Folder </th><th>Content </th></tr>
+<tr>
+<td><b>CMSIS\Documentation\RTOS</b> </td><td>This documentation </td></tr>
+<tr>
+<td><b>CMSIS\RTOS\Template</b> </td><td><a class="el" href="cmsis_os_h.html">Header File Template: cmsis_os.h</a> </td></tr>
+</table>
+<hr/>
+ </div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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+/*!
+ * jQuery UI 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI
+ */
+(function(a,b){function d(b){return!a(b).parents().andSelf().filter(function(){return a.curCSS(this,"visibility")==="hidden"||a.expr.filters.hidden(this)}).length}function c(b,c){var e=b.nodeName.toLowerCase();if("area"===e){var f=b.parentNode,g=f.name,h;if(!b.href||!g||f.nodeName.toLowerCase()!=="map")return!1;h=a("img[usemap=#"+g+"]")[0];return!!h&&d(h)}return(/input|select|textarea|button|object/.test(e)?!b.disabled:"a"==e?b.href||c:c)&&d(b)}a.ui=a.ui||{};a.ui.version||(a.extend(a.ui,{version:"1.8.18",keyCode:{ALT:18,BACKSPACE:8,CAPS_LOCK:20,COMMA:188,COMMAND:91,COMMAND_LEFT:91,COMMAND_RIGHT:93,CONTROL:17,DELETE:46,DOWN:40,END:35,ENTER:13,ESCAPE:27,HOME:36,INSERT:45,LEFT:37,MENU:93,NUMPAD_ADD:107,NUMPAD_DECIMAL:110,NUMPAD_DIVIDE:111,NUMPAD_ENTER:108,NUMPAD_MULTIPLY:106,NUMPAD_SUBTRACT:109,PAGE_DOWN:34,PAGE_UP:33,PERIOD:190,RIGHT:39,SHIFT:16,SPACE:32,TAB:9,UP:38,WINDOWS:91}}),a.fn.extend({propAttr:a.fn.prop||a.fn.attr,_focus:a.fn.focus,focus:function(b,c){return typeof b=="number"?this.each(function(){var d=this;setTimeout(function(){a(d).focus(),c&&c.call(d)},b)}):this._focus.apply(this,arguments)},scrollParent:function(){var b;a.browser.msie&&/(static|relative)/.test(this.css("position"))||/absolute/.test(this.css("position"))?b=this.parents().filter(function(){return/(relative|absolute|fixed)/.test(a.curCSS(this,"position",1))&&/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0):b=this.parents().filter(function(){return/(auto|scroll)/.test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0);return/fixed/.test(this.css("position"))||!b.length?a(document):b},zIndex:function(c){if(c!==b)return this.css("zIndex",c);if(this.length){var d=a(this[0]),e,f;while(d.length&&d[0]!==document){e=d.css("position");if(e==="absolute"||e==="relative"||e==="fixed"){f=parseInt(d.css("zIndex"),10);if(!isNaN(f)&&f!==0)return f}d=d.parent()}}return 0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(a){a.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}}),a.each(["Width","Height"],function(c,d){function h(b,c,d,f){a.each(e,function(){c-=parseFloat(a.curCSS(b,"padding"+this,!0))||0,d&&(c-=parseFloat(a.curCSS(b,"border"+this+"Width",!0))||0),f&&(c-=parseFloat(a.curCSS(b,"margin"+this,!0))||0)});return c}var e=d==="Width"?["Left","Right"]:["Top","Bottom"],f=d.toLowerCase(),g={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};a.fn["inner"+d]=function(c){if(c===b)return g["inner"+d].call(this);return this.each(function(){a(this).css(f,h(this,c)+"px")})},a.fn["outer"+d]=function(b,c){if(typeof b!="number")return g["outer"+d].call(this,b);return this.each(function(){a(this).css(f,h(this,b,!0,c)+"px")})}}),a.extend(a.expr[":"],{data:function(b,c,d){return!!a.data(b,d[3])},focusable:function(b){return c(b,!isNaN(a.attr(b,"tabindex")))},tabbable:function(b){var d=a.attr(b,"tabindex"),e=isNaN(d);return(e||d>=0)&&c(b,!e)}}),a(function(){var b=document.body,c=b.appendChild(c=document.createElement("div"));c.offsetHeight,a.extend(c.style,{minHeight:"100px",height:"auto",padding:0,borderWidth:0}),a.support.minHeight=c.offsetHeight===100,a.support.selectstart="onselectstart"in c,b.removeChild(c).style.display="none"}),a.extend(a.ui,{plugin:{add:function(b,c,d){var e=a.ui[b].prototype;for(var f in d)e.plugins[f]=e.plugins[f]||[],e.plugins[f].push([c,d[f]])},call:function(a,b,c){var d=a.plugins[b];if(!!d&&!!a.element[0].parentNode)for(var e=0;e<d.length;e++)a.options[d[e][0]]&&d[e][1].apply(a.element,c)}},contains:function(a,b){return document.compareDocumentPosition?a.compareDocumentPosition(b)&16:a!==b&&a.contains(b)},hasScroll:function(b,c){if(a(b).css("overflow")==="hidden")return!1;var d=c&&c==="left"?"scrollLeft":"scrollTop",e=!1;if(b[d]>0)return!0;b[d]=1,e=b[d]>0,b[d]=0;return e},isOverAxis:function(a,b,c){return a>b&&a<b+c},isOver:function(b,c,d,e,f,g){return a.ui.isOverAxis(b,d,f)&&a.ui.isOverAxis(c,e,g)}}))})(jQuery);
+/*!
+ * jQuery UI Widget 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Widget
+ */
+(function(a,b){if(a.cleanData){var c=a.cleanData;a.cleanData=function(b){for(var d=0,e;(e=b[d])!=null;d++)try{a(e).triggerHandler("remove")}catch(f){}c(b)}}else{var d=a.fn.remove;a.fn.remove=function(b,c){return this.each(function(){c||(!b||a.filter(b,[this]).length)&&a("*",this).add([this]).each(function(){try{a(this).triggerHandler("remove")}catch(b){}});return d.call(a(this),b,c)})}}a.widget=function(b,c,d){var e=b.split(".")[0],f;b=b.split(".")[1],f=e+"-"+b,d||(d=c,c=a.Widget),a.expr[":"][f]=function(c){return!!a.data(c,b)},a[e]=a[e]||{},a[e][b]=function(a,b){arguments.length&&this._createWidget(a,b)};var g=new c;g.options=a.extend(!0,{},g.options),a[e][b].prototype=a.extend(!0,g,{namespace:e,widgetName:b,widgetEventPrefix:a[e][b].prototype.widgetEventPrefix||b,widgetBaseClass:f},d),a.widget.bridge(b,a[e][b])},a.widget.bridge=function(c,d){a.fn[c]=function(e){var f=typeof e=="string",g=Array.prototype.slice.call(arguments,1),h=this;e=!f&&g.length?a.extend.apply(null,[!0,e].concat(g)):e;if(f&&e.charAt(0)==="_")return h;f?this.each(function(){var d=a.data(this,c),f=d&&a.isFunction(d[e])?d[e].apply(d,g):d;if(f!==d&&f!==b){h=f;return!1}}):this.each(function(){var b=a.data(this,c);b?b.option(e||{})._init():a.data(this,c,new d(e,this))});return h}},a.Widget=function(a,b){arguments.length&&this._createWidget(a,b)},a.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:!1},_createWidget:function(b,c){a.data(c,this.widgetName,this),this.element=a(c),this.options=a.extend(!0,{},this.options,this._getCreateOptions(),b);var d=this;this.element.bind("remove."+this.widgetName,function(){d.destroy()}),this._create(),this._trigger("create"),this._init()},_getCreateOptions:function(){return a.metadata&&a.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName),this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled "+"ui-state-disabled")},widget:function(){return this.element},option:function(c,d){var e=c;if(arguments.length===0)return a.extend({},this.options);if(typeof c=="string"){if(d===b)return this.options[c];e={},e[c]=d}this._setOptions(e);return this},_setOptions:function(b){var c=this;a.each(b,function(a,b){c._setOption(a,b)});return this},_setOption:function(a,b){this.options[a]=b,a==="disabled"&&this.widget()[b?"addClass":"removeClass"](this.widgetBaseClass+"-disabled"+" "+"ui-state-disabled").attr("aria-disabled",b);return this},enable:function(){return this._setOption("disabled",!1)},disable:function(){return this._setOption("disabled",!0)},_trigger:function(b,c,d){var e,f,g=this.options[b];d=d||{},c=a.Event(c),c.type=(b===this.widgetEventPrefix?b:this.widgetEventPrefix+b).toLowerCase(),c.target=this.element[0],f=c.originalEvent;if(f)for(e in f)e in c||(c[e]=f[e]);this.element.trigger(c,d);return!(a.isFunction(g)&&g.call(this.element[0],c,d)===!1||c.isDefaultPrevented())}}})(jQuery);
+/*!
+ * jQuery UI Mouse 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Mouse
+ *
+ * Depends:
+ *	jquery.ui.widget.js
+ */
+(function(a,b){var c=!1;a(document).mouseup(function(a){c=!1}),a.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var b=this;this.element.bind("mousedown."+this.widgetName,function(a){return b._mouseDown(a)}).bind("click."+this.widgetName,function(c){if(!0===a.data(c.target,b.widgetName+".preventClickEvent")){a.removeData(c.target,b.widgetName+".preventClickEvent"),c.stopImmediatePropagation();return!1}}),this.started=!1},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(b){if(!c){this._mouseStarted&&this._mouseUp(b),this._mouseDownEvent=b;var d=this,e=b.which==1,f=typeof this.options.cancel=="string"&&b.target.nodeName?a(b.target).closest(this.options.cancel).length:!1;if(!e||f||!this._mouseCapture(b))return!0;this.mouseDelayMet=!this.options.delay,this.mouseDelayMet||(this._mouseDelayTimer=setTimeout(function(){d.mouseDelayMet=!0},this.options.delay));if(this._mouseDistanceMet(b)&&this._mouseDelayMet(b)){this._mouseStarted=this._mouseStart(b)!==!1;if(!this._mouseStarted){b.preventDefault();return!0}}!0===a.data(b.target,this.widgetName+".preventClickEvent")&&a.removeData(b.target,this.widgetName+".preventClickEvent"),this._mouseMoveDelegate=function(a){return d._mouseMove(a)},this._mouseUpDelegate=function(a){return d._mouseUp(a)},a(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate),b.preventDefault(),c=!0;return!0}},_mouseMove:function(b){if(a.browser.msie&&!(document.documentMode>=9)&&!b.button)return this._mouseUp(b);if(this._mouseStarted){this._mouseDrag(b);return b.preventDefault()}this._mouseDistanceMet(b)&&this._mouseDelayMet(b)&&(this._mouseStarted=this._mouseStart(this._mouseDownEvent,b)!==!1,this._mouseStarted?this._mouseDrag(b):this._mouseUp(b));return!this._mouseStarted},_mouseUp:function(b){a(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate),this._mouseStarted&&(this._mouseStarted=!1,b.target==this._mouseDownEvent.target&&a.data(b.target,this.widgetName+".preventClickEvent",!0),this._mouseStop(b));return!1},_mouseDistanceMet:function(a){return Math.max(Math.abs(this._mouseDownEvent.pageX-a.pageX),Math.abs(this._mouseDownEvent.pageY-a.pageY))>=this.options.distance},_mouseDelayMet:function(a){return this.mouseDelayMet},_mouseStart:function(a){},_mouseDrag:function(a){},_mouseStop:function(a){},_mouseCapture:function(a){return!0}})})(jQuery);
+/*
+ * jQuery UI Resizable 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Resizables
+ *
+ * Depends:
+ *	jquery.ui.core.js
+ *	jquery.ui.mouse.js
+ *	jquery.ui.widget.js
+ */
+(function(a,b){a.widget("ui.resizable",a.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:!1,animate:!1,animateDuration:"slow",animateEasing:"swing",aspectRatio:!1,autoHide:!1,containment:!1,ghost:!1,grid:!1,handles:"e,s,se",helper:!1,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1e3},_create:function(){var b=this,c=this.options;this.element.addClass("ui-resizable"),a.extend(this,{_aspectRatio:!!c.aspectRatio,aspectRatio:c.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:c.helper||c.ghost||c.animate?c.helper||"ui-resizable-helper":null}),this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)&&(this.element.wrap(a('<div class="ui-wrapper" style="overflow: hidden;"></div>').css({position:this.element.css("position"),width:this.element.outerWidth(),height:this.element.outerHeight(),top:this.element.css("top"),left:this.element.css("left")})),this.element=this.element.parent().data("resizable",this.element.data("resizable")),this.elementIsWrapper=!0,this.element.css({marginLeft:this.originalElement.css("marginLeft"),marginTop:this.originalElement.css("marginTop"),marginRight:this.originalElement.css("marginRight"),marginBottom:this.originalElement.css("marginBottom")}),this.originalElement.css({marginLeft:0,marginTop:0,marginRight:0,marginBottom:0}),this.originalResizeStyle=this.originalElement.css("resize"),this.originalElement.css("resize","none"),this._proportionallyResizeElements.push(this.originalElement.css({position:"static",zoom:1,display:"block"})),this.originalElement.css({margin:this.originalElement.css("margin")}),this._proportionallyResize()),this.handles=c.handles||(a(".ui-resizable-handle",this.element).length?{n:".ui-resizable-n",e:".ui-resizable-e",s:".ui-resizable-s",w:".ui-resizable-w",se:".ui-resizable-se",sw:".ui-resizable-sw",ne:".ui-resizable-ne",nw:".ui-resizable-nw"}:"e,s,se");if(this.handles.constructor==String){this.handles=="all"&&(this.handles="n,e,s,w,se,sw,ne,nw");var d=this.handles.split(",");this.handles={};for(var e=0;e<d.length;e++){var f=a.trim(d[e]),g="ui-resizable-"+f,h=a('<div class="ui-resizable-handle '+g+'"></div>');/sw|se|ne|nw/.test(f)&&h.css({zIndex:++c.zIndex}),"se"==f&&h.addClass("ui-icon ui-icon-gripsmall-diagonal-se"),this.handles[f]=".ui-resizable-"+f,this.element.append(h)}}this._renderAxis=function(b){b=b||this.element;for(var c in this.handles){this.handles[c].constructor==String&&(this.handles[c]=a(this.handles[c],this.element).show());if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var d=a(this.handles[c],this.element),e=0;e=/sw|ne|nw|se|n|s/.test(c)?d.outerHeight():d.outerWidth();var f=["padding",/ne|nw|n/.test(c)?"Top":/se|sw|s/.test(c)?"Bottom":/^e$/.test(c)?"Right":"Left"].join("");b.css(f,e),this._proportionallyResize()}if(!a(this.handles[c]).length)continue}},this._renderAxis(this.element),this._handles=a(".ui-resizable-handle",this.element).disableSelection(),this._handles.mouseover(function(){if(!b.resizing){if(this.className)var a=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i);b.axis=a&&a[1]?a[1]:"se"}}),c.autoHide&&(this._handles.hide(),a(this.element).addClass("ui-resizable-autohide").hover(function(){c.disabled||(a(this).removeClass("ui-resizable-autohide"),b._handles.show())},function(){c.disabled||b.resizing||(a(this).addClass("ui-resizable-autohide"),b._handles.hide())})),this._mouseInit()},destroy:function(){this._mouseDestroy();var b=function(b){a(b).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){b(this.element);var c=this.element;c.after(this.originalElement.css({position:c.css("position"),width:c.outerWidth(),height:c.outerHeight(),top:c.css("top"),left:c.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle),b(this.originalElement);return this},_mouseCapture:function(b){var c=!1;for(var d in this.handles)a(this.handles[d])[0]==b.target&&(c=!0);return!this.options.disabled&&c},_mouseStart:function(b){var d=this.options,e=this.element.position(),f=this.element;this.resizing=!0,this.documentScroll={top:a(document).scrollTop(),left:a(document).scrollLeft()},(f.is(".ui-draggable")||/absolute/.test(f.css("position")))&&f.css({position:"absolute",top:e.top,left:e.left}),this._renderProxy();var g=c(this.helper.css("left")),h=c(this.helper.css("top"));d.containment&&(g+=a(d.containment).scrollLeft()||0,h+=a(d.containment).scrollTop()||0),this.offset=this.helper.offset(),this.position={left:g,top:h},this.size=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalSize=this._helper?{width:f.outerWidth(),height:f.outerHeight()}:{width:f.width(),height:f.height()},this.originalPosition={left:g,top:h},this.sizeDiff={width:f.outerWidth()-f.width(),height:f.outerHeight()-f.height()},this.originalMousePosition={left:b.pageX,top:b.pageY},this.aspectRatio=typeof d.aspectRatio=="number"?d.aspectRatio:this.originalSize.width/this.originalSize.height||1;var i=a(".ui-resizable-"+this.axis).css("cursor");a("body").css("cursor",i=="auto"?this.axis+"-resize":i),f.addClass("ui-resizable-resizing"),this._propagate("start",b);return!0},_mouseDrag:function(b){var c=this.helper,d=this.options,e={},f=this,g=this.originalMousePosition,h=this.axis,i=b.pageX-g.left||0,j=b.pageY-g.top||0,k=this._change[h];if(!k)return!1;var l=k.apply(this,[b,i,j]),m=a.browser.msie&&a.browser.version<7,n=this.sizeDiff;this._updateVirtualBoundaries(b.shiftKey);if(this._aspectRatio||b.shiftKey)l=this._updateRatio(l,b);l=this._respectSize(l,b),this._propagate("resize",b),c.css({top:this.position.top+"px",left:this.position.left+"px",width:this.size.width+"px",height:this.size.height+"px"}),!this._helper&&this._proportionallyResizeElements.length&&this._proportionallyResize(),this._updateCache(l),this._trigger("resize",b,this.ui());return!1},_mouseStop:function(b){this.resizing=!1;var c=this.options,d=this;if(this._helper){var e=this._proportionallyResizeElements,f=e.length&&/textarea/i.test(e[0].nodeName),g=f&&a.ui.hasScroll(e[0],"left")?0:d.sizeDiff.height,h=f?0:d.sizeDiff.width,i={width:d.helper.width()-h,height:d.helper.height()-g},j=parseInt(d.element.css("left"),10)+(d.position.left-d.originalPosition.left)||null,k=parseInt(d.element.css("top"),10)+(d.position.top-d.originalPosition.top)||null;c.animate||this.element.css(a.extend(i,{top:k,left:j})),d.helper.height(d.size.height),d.helper.width(d.size.width),this._helper&&!c.animate&&this._proportionallyResize()}a("body").css("cursor","auto"),this.element.removeClass("ui-resizable-resizing"),this._propagate("stop",b),this._helper&&this.helper.remove();return!1},_updateVirtualBoundaries:function(a){var b=this.options,c,e,f,g,h;h={minWidth:d(b.minWidth)?b.minWidth:0,maxWidth:d(b.maxWidth)?b.maxWidth:Infinity,minHeight:d(b.minHeight)?b.minHeight:0,maxHeight:d(b.maxHeight)?b.maxHeight:Infinity};if(this._aspectRatio||a)c=h.minHeight*this.aspectRatio,f=h.minWidth/this.aspectRatio,e=h.maxHeight*this.aspectRatio,g=h.maxWidth/this.aspectRatio,c>h.minWidth&&(h.minWidth=c),f>h.minHeight&&(h.minHeight=f),e<h.maxWidth&&(h.maxWidth=e),g<h.maxHeight&&(h.maxHeight=g);this._vBoundaries=h},_updateCache:function(a){var b=this.options;this.offset=this.helper.offset(),d(a.left)&&(this.position.left=a.left),d(a.top)&&(this.position.top=a.top),d(a.height)&&(this.size.height=a.height),d(a.width)&&(this.size.width=a.width)},_updateRatio:function(a,b){var c=this.options,e=this.position,f=this.size,g=this.axis;d(a.height)?a.width=a.height*this.aspectRatio:d(a.width)&&(a.height=a.width/this.aspectRatio),g=="sw"&&(a.left=e.left+(f.width-a.width),a.top=null),g=="nw"&&(a.top=e.top+(f.height-a.height),a.left=e.left+(f.width-a.width));return a},_respectSize:function(a,b){var c=this.helper,e=this._vBoundaries,f=this._aspectRatio||b.shiftKey,g=this.axis,h=d(a.width)&&e.maxWidth&&e.maxWidth<a.width,i=d(a.height)&&e.maxHeight&&e.maxHeight<a.height,j=d(a.width)&&e.minWidth&&e.minWidth>a.width,k=d(a.height)&&e.minHeight&&e.minHeight>a.height;j&&(a.width=e.minWidth),k&&(a.height=e.minHeight),h&&(a.width=e.maxWidth),i&&(a.height=e.maxHeight);var l=this.originalPosition.left+this.originalSize.width,m=this.position.top+this.size.height,n=/sw|nw|w/.test(g),o=/nw|ne|n/.test(g);j&&n&&(a.left=l-e.minWidth),h&&n&&(a.left=l-e.maxWidth),k&&o&&(a.top=m-e.minHeight),i&&o&&(a.top=m-e.maxHeight);var p=!a.width&&!a.height;p&&!a.left&&a.top?a.top=null:p&&!a.top&&a.left&&(a.left=null);return a},_proportionallyResize:function(){var b=this.options;if(!!this._proportionallyResizeElements.length){var c=this.helper||this.element;for(var d=0;d<this._proportionallyResizeElements.length;d++){var e=this._proportionallyResizeElements[d];if(!this.borderDif){var f=[e.css("borderTopWidth"),e.css("borderRightWidth"),e.css("borderBottomWidth"),e.css("borderLeftWidth")],g=[e.css("paddingTop"),e.css("paddingRight"),e.css("paddingBottom"),e.css("paddingLeft")];this.borderDif=a.map(f,function(a,b){var c=parseInt(a,10)||0,d=parseInt(g[b],10)||0;return c+d})}if(a.browser.msie&&(!!a(c).is(":hidden")||!!a(c).parents(":hidden").length))continue;e.css({height:c.height()-this.borderDif[0]-this.borderDif[2]||0,width:c.width()-this.borderDif[1]-this.borderDif[3]||0})}}},_renderProxy:function(){var b=this.element,c=this.options;this.elementOffset=b.offset();if(this._helper){this.helper=this.helper||a('<div style="overflow:hidden;"></div>');var d=a.browser.msie&&a.browser.version<7,e=d?1:0,f=d?2:-1;this.helper.addClass(this._helper).css({width:this.element.outerWidth()+f,height:this.element.outerHeight()+f,position:"absolute",left:this.elementOffset.left-e+"px",top:this.elementOffset.top-e+"px",zIndex:++c.zIndex}),this.helper.appendTo("body").disableSelection()}else this.helper=this.element},_change:{e:function(a,b,c){return{width:this.originalSize.width+b}},w:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{left:f.left+b,width:e.width-b}},n:function(a,b,c){var d=this.options,e=this.originalSize,f=this.originalPosition;return{top:f.top+c,height:e.height-c}},s:function(a,b,c){return{height:this.originalSize.height+c}},se:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},sw:function(b,c,d){return a.extend(this._change.s.apply(this,arguments),this._change.w.apply(this,[b,c,d]))},ne:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.e.apply(this,[b,c,d]))},nw:function(b,c,d){return a.extend(this._change.n.apply(this,arguments),this._change.w.apply(this,[b,c,d]))}},_propagate:function(b,c){a.ui.plugin.call(this,b,[c,this.ui()]),b!="resize"&&this._trigger(b,c,this.ui())},plugins:{},ui:function(){return{originalElement:this.originalElement,element:this.element,helper:this.helper,position:this.position,size:this.size,originalSize:this.originalSize,originalPosition:this.originalPosition}}}),a.extend(a.ui.resizable,{version:"1.8.18"}),a.ui.plugin.add("resizable","alsoResize",{start:function(b,c){var d=a(this).data("resizable"),e=d.options,f=function(b){a(b).each(function(){var b=a(this);b.data("resizable-alsoresize",{width:parseInt(b.width(),10),height:parseInt(b.height(),10),left:parseInt(b.css("left"),10),top:parseInt(b.css("top"),10)})})};typeof e.alsoResize=="object"&&!e.alsoResize.parentNode?e.alsoResize.length?(e.alsoResize=e.alsoResize[0],f(e.alsoResize)):a.each(e.alsoResize,function(a){f(a)}):f(e.alsoResize)},resize:function(b,c){var d=a(this).data("resizable"),e=d.options,f=d.originalSize,g=d.originalPosition,h={height:d.size.height-f.height||0,width:d.size.width-f.width||0,top:d.position.top-g.top||0,left:d.position.left-g.left||0},i=function(b,d){a(b).each(function(){var b=a(this),e=a(this).data("resizable-alsoresize"),f={},g=d&&d.length?d:b.parents(c.originalElement[0]).length?["width","height"]:["width","height","top","left"];a.each(g,function(a,b){var c=(e[b]||0)+(h[b]||0);c&&c>=0&&(f[b]=c||null)}),b.css(f)})};typeof e.alsoResize=="object"&&!e.alsoResize.nodeType?a.each(e.alsoResize,function(a,b){i(a,b)}):i(e.alsoResize)},stop:function(b,c){a(this).removeData("resizable-alsoresize")}}),a.ui.plugin.add("resizable","animate",{stop:function(b,c){var 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diff --git a/Documentation/RTOS/html/modules.html b/Documentation/RTOS/html/modules.html
new file mode 100644
index 0000000..f358757
--- /dev/null
+++ b/Documentation/RTOS/html/modules.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Reference</title>
+<title>CMSIS-RTOS: Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
+		writeComponentTabs.call(this);
+		//-->
+      </script>
+	  </ul>
+</div>
+<!-- Generated by Doxygen 1.8.2 -->
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li class="current"><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('modules.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock">Here is a list of all modules:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span><span onclick="javascript:toggleLevel(3);">3</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><img id="arr_0_" src="ftv2mlastnode.png" alt="\" width="16" height="22" onclick="toggleFolder('0_')"/><a class="el" href="group___c_m_s_i_s___r_t_o_s.html" target="_self">CMSIS-RTOS API</a></td><td class="desc">This section describes the CMSIS-RTOS API</td></tr>
+<tr id="row_0_0_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html" target="_self">Kernel Information and Control</a></td><td class="desc">Provide version/system information and start the RTOS Kernel</td></tr>
+<tr id="row_0_1_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html" target="_self">Thread Management</a></td><td class="desc">Define, create, and control thread functions</td></tr>
+<tr id="row_0_2_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___wait.html" target="_self">Generic Wait Functions</a></td><td class="desc">Wait for a time period or unspecified events</td></tr>
+<tr id="row_0_3_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html" target="_self">Timer Management</a></td><td class="desc">Create and control timer and timer callback functions</td></tr>
+<tr id="row_0_4_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img id="arr_0_4_" src="ftv2mnode.png" alt="o" width="16" height="22" onclick="toggleFolder('0_4_')"/><a class="el" href="group___c_m_s_i_s___r_t_o_s___inter_thread.html" target="_self">Inter-Thread Communication and Resource Sharing</a></td><td class="desc">Functions for inter-thread communication</td></tr>
+<tr id="row_0_4_0_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___signal_mgmt.html" target="_self">Signal Events</a></td><td class="desc">Synchronize threads using signals</td></tr>
+<tr id="row_0_4_1_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___message.html" target="_self">Message Queue</a></td><td class="desc">Exchange messages between threads in a FIFO-like operation</td></tr>
+<tr id="row_0_4_2_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___pool_mgmt.html" target="_self">Memory Pool</a></td><td class="desc">Manage thread-safe fixed-size blocks of dynamic memory</td></tr>
+<tr id="row_0_4_3_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___mail.html" target="_self">Mail Queue</a></td><td class="desc">Exchange data between threads using a queue of memory blocks</td></tr>
+<tr id="row_0_4_4_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html" target="_self">Mutexes</a></td><td class="desc">Synchronize resource access using Mutual Exclusion (Mutex)</td></tr>
+<tr id="row_0_4_5_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2vertline.png" alt="|" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html" target="_self">Semaphores</a></td><td class="desc">Access shared resources simultaneously from different threads</td></tr>
+<tr id="row_0_5_" class="even"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___definitions.html" target="_self">Generic Data Types and Definitions</a></td><td class="desc">Data Type Definitions used by the CMSIS-RTOS API functions</td></tr>
+<tr id="row_0_6_"><td class="entry"><img src="ftv2blank.png" alt="&#160;" width="16" height="22" /><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="group___c_m_s_i_s___r_t_o_s___status.html" target="_self">Status and Error Codes</a></td><td class="desc">Status and Error Codes returned by CMSIS-RTOS API functions</td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
+	</li>
+  </ul>
+</div>
+</body>
+</html>
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new file mode 100644
index 0000000..909dd3d
--- /dev/null
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+[
+    [ "CMSIS-RTOS API", "group___c_m_s_i_s___r_t_o_s.html", "group___c_m_s_i_s___r_t_o_s" ]
+];
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+
+#nav-tree .label a {
+  padding:2px;
+}
+
+#nav-tree .selected a {
+  text-decoration:none;
+  color:#fff;
+}
+
+#nav-tree .children_ul {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree .item {
+  margin:0px;
+  padding:0px;
+}
+
+#nav-tree {
+  padding: 0px 0px;
+  background-color: #FAFAFF; 
+  font-size:14px;
+  overflow:auto;
+}
+
+#doc-content {
+  overflow:auto;
+  display:block;
+  padding:0px;
+  margin:0px;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#side-nav {
+  padding:0 6px 0 0;
+  margin: 0px;
+  display:block;
+  position: absolute;
+  left: 0px;
+  width: 300px;
+}
+
+.ui-resizable .ui-resizable-handle {
+  display:block;
+}
+
+.ui-resizable-e {
+  background:url("ftv2splitbar.png") repeat scroll right center transparent;
+  cursor:e-resize;
+  height:100%;
+  right:0;
+  top:0;
+  width:6px;
+}
+
+.ui-resizable-handle {
+  display:none;
+  font-size:0.1px;
+  position:absolute;
+  z-index:1;
+}
+
+#nav-tree-contents {
+  margin: 6px 0px 0px 0px;
+}
+
+#nav-tree {
+  background-image:url('nav_h.png');
+  background-repeat:repeat-x;
+  background-color: #F9FAFC;
+  -webkit-overflow-scrolling : touch; /* iOS 5+ */
+}
+
+#nav-sync {
+  position:absolute;
+  top:5px;
+  right:24px;
+  z-index:0;
+}
+
+#nav-sync img {
+  opacity:0.3;
+}
+
+#nav-sync img:hover {
+  opacity:0.9;
+}
+
+@media print
+{
+  #nav-tree { display: none; }
+  div.ui-resizable-handle { display: none; position: relative; }
+}
+
diff --git a/Documentation/RTOS/html/navtree.js b/Documentation/RTOS/html/navtree.js
new file mode 100644
index 0000000..1a0a6a6
--- /dev/null
+++ b/Documentation/RTOS/html/navtree.js
@@ -0,0 +1,527 @@
+var NAVTREE =
+[
+  [ "CMSIS-RTOS", "index.html", [
+    [ "Overview", "index.html", null ],
+    [ "Revision History", "rtos_revision_history.html", null ],
+    [ "Using a CMSIS-RTOS Implementation", "_using_o_s.html", null ],
+    [ "Function Overview", "_function_overview.html", [
+      [ "Timout Value", "_function_overview.html#CMSIS_RTOS_TimeOutValue", null ],
+      [ "Calls from Interrupt Service Routines", "_function_overview.html#CMSIS_RTOS_ISR_Calls", null ]
+    ] ],
+    [ "Header File Template: cmsis_os.h", "cmsis_os_h.html", null ],
+    [ "RTOS Validation", "_rtos_validation.html", [
+      [ "Sample Test Output", "_rtos_validation.html#test_output", null ]
+    ] ],
+    [ "Reference", "modules.html", "modules" ],
+    [ "Data Structures", "annotated.html", "annotated" ],
+    [ "Data Structure Index", "classes.html", null ],
+    [ "Data Fields", "functions.html", [
+      [ "All", "functions.html", null ],
+      [ "Variables", "functions_vars.html", null ]
+    ] ]
+  ] ]
+];
+
+var NAVTREEINDEX =
+[
+"_function_overview.html"
+];
+
+var SYNCONMSG = 'click to disable panel synchronisation';
+var SYNCOFFMSG = 'click to enable panel synchronisation';
+var navTreeSubIndices = new Array();
+
+function getData(varName)
+{
+  var i = varName.lastIndexOf('/');
+  var n = i>=0 ? varName.substring(i+1) : varName;
+  return eval(n.replace(/\-/g,'_'));
+}
+
+function stripPath(uri)
+{
+  return uri.substring(uri.lastIndexOf('/')+1);
+}
+
+function stripPath2(uri)
+{
+  var i = uri.lastIndexOf('/');
+  var s = uri.substring(i+1);
+  var m = uri.substring(0,i+1).match(/\/d\w\/d\w\w\/$/);
+  return m ? uri.substring(i-6) : s;
+}
+
+function localStorageSupported()
+{
+  try {
+    return 'localStorage' in window && window['localStorage'] !== null && window.localStorage.getItem;
+  }
+  catch(e) {
+    return false;
+  }
+}
+
+
+function storeLink(link)
+{
+  if (!$("#nav-sync").hasClass('sync') && localStorageSupported()) {
+      window.localStorage.setItem('navpath',link);
+  }
+}
+
+function deleteLink()
+{
+  if (localStorageSupported()) {
+    window.localStorage.setItem('navpath','');
+  } 
+}
+
+function cachedLink()
+{
+  if (localStorageSupported()) {
+    return window.localStorage.getItem('navpath');
+  } else {
+    return '';
+  }
+}
+
+function getScript(scriptName,func,show)
+{
+  var head = document.getElementsByTagName("head")[0]; 
+  var script = document.createElement('script');
+  script.id = scriptName;
+  script.type = 'text/javascript';
+  script.onload = func; 
+  script.src = scriptName+'.js'; 
+  if ($.browser.msie && $.browser.version<=8) { 
+    // script.onload does work with older versions of IE
+    script.onreadystatechange = function() {
+      if (script.readyState=='complete' || script.readyState=='loaded') { 
+        func(); if (show) showRoot(); 
+      }
+    }
+  }
+  head.appendChild(script); 
+}
+
+function createIndent(o,domNode,node,level)
+{
+  if (node.parentNode && node.parentNode.parentNode) {
+    createIndent(o,domNode,node.parentNode,level+1);
+  }
+  var imgNode = document.createElement("img");
+  imgNode.width = 16;
+  imgNode.height = 22;
+  if (level==0 && node.childrenData) {
+    node.plus_img = imgNode;
+    node.expandToggle = document.createElement("a");
+    node.expandToggle.href = "javascript:void(0)";
+    node.expandToggle.onclick = function() {
+      if (node.expanded) {
+        $(node.getChildrenUL()).slideUp("fast");
+        if (node.isLast) {
+          node.plus_img.src = node.relpath+"ftv2plastnode.png";
+        } else {
+          node.plus_img.src = node.relpath+"ftv2pnode.png";
+        }
+        node.expanded = false;
+      } else {
+        expandNode(o, node, false, false);
+      }
+    }
+    node.expandToggle.appendChild(imgNode);
+    domNode.appendChild(node.expandToggle);
+  } else {
+    domNode.appendChild(imgNode);
+  }
+  if (level==0) {
+    if (node.isLast) {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2plastnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2lastnode.png";
+        domNode.appendChild(imgNode);
+      }
+    } else {
+      if (node.childrenData) {
+        imgNode.src = node.relpath+"ftv2pnode.png";
+      } else {
+        imgNode.src = node.relpath+"ftv2node.png";
+        domNode.appendChild(imgNode);
+      }
+    }
+  } else {
+    if (node.isLast) {
+      imgNode.src = node.relpath+"ftv2blank.png";
+    } else {
+      imgNode.src = node.relpath+"ftv2vertline.png";
+    }
+  }
+  imgNode.border = "0";
+}
+
+function newNode(o, po, text, link, childrenData, lastNode)
+{
+  var node = new Object();
+  node.children = Array();
+  node.childrenData = childrenData;
+  node.depth = po.depth + 1;
+  node.relpath = po.relpath;
+  node.isLast = lastNode;
+
+  node.li = document.createElement("li");
+  po.getChildrenUL().appendChild(node.li);
+  node.parentNode = po;
+
+  node.itemDiv = document.createElement("div");
+  node.itemDiv.className = "item";
+
+  node.labelSpan = document.createElement("span");
+  node.labelSpan.className = "label";
+
+  createIndent(o,node.itemDiv,node,0);
+  node.itemDiv.appendChild(node.labelSpan);
+  node.li.appendChild(node.itemDiv);
+
+  var a = document.createElement("a");
+  node.labelSpan.appendChild(a);
+  node.label = document.createTextNode(text);
+  node.expanded = false;
+  a.appendChild(node.label);
+  if (link) {
+    var url;
+    if (link.substring(0,1)=='^') {
+      url = link.substring(1);
+      link = url;
+    } else {
+      url = node.relpath+link;
+    }
+    a.className = stripPath(link.replace('#',':'));
+    if (link.indexOf('#')!=-1) {
+      var aname = '#'+link.split('#')[1];
+      var srcPage = stripPath($(location).attr('pathname'));
+      var targetPage = stripPath(link.split('#')[0]);
+      a.href = srcPage!=targetPage ? url : '#';
+      a.onclick = function(){
+        storeLink(link);
+        if (!$(a).parent().parent().hasClass('selected'))
+        {
+          $('.item').removeClass('selected');
+          $('.item').removeAttr('id');
+          $(a).parent().parent().addClass('selected');
+          $(a).parent().parent().attr('id','selected');
+        }
+        var pos, anchor = $(aname), docContent = $('#doc-content');
+        if (anchor.parent().attr('class')=='memItemLeft') {
+          pos = anchor.parent().position().top;
+        } else if (anchor.position()) {
+          pos = anchor.position().top;
+        }
+        if (pos) {
+          var dist = Math.abs(Math.min(
+                     pos-docContent.offset().top,
+                     docContent[0].scrollHeight-
+                     docContent.height()-docContent.scrollTop()));
+          docContent.animate({
+            scrollTop: pos + docContent.scrollTop() - docContent.offset().top
+          },Math.max(50,Math.min(500,dist)),function(){
+            window.location.replace(aname);
+          });
+        }
+      };
+    } else {
+      a.href = url;
+      a.onclick = function() { storeLink(link); }
+    }
+  } else {
+    if (childrenData != null) 
+    {
+      a.className = "nolink";
+      a.href = "javascript:void(0)";
+      a.onclick = node.expandToggle.onclick;
+    }
+  }
+
+  node.childrenUL = null;
+  node.getChildrenUL = function() {
+    if (!node.childrenUL) {
+      node.childrenUL = document.createElement("ul");
+      node.childrenUL.className = "children_ul";
+      node.childrenUL.style.display = "none";
+      node.li.appendChild(node.childrenUL);
+    }
+    return node.childrenUL;
+  };
+
+  return node;
+}
+
+function showRoot()
+{
+  var headerHeight = $("#top").height();
+  var footerHeight = $("#nav-path").height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  (function (){ // retry until we can scroll to the selected item
+    try {
+      var navtree=$('#nav-tree');
+      navtree.scrollTo('#selected',0,{offset:-windowHeight/2});
+    } catch (err) {
+      setTimeout(arguments.callee, 0);
+    }
+  })();
+}
+
+function expandNode(o, node, imm, showRoot)
+{
+  if (node.childrenData && !node.expanded) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        expandNode(o, node, imm, showRoot);
+      }, showRoot);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      } if (imm || ($.browser.msie && $.browser.version>8)) { 
+        // somehow slideDown jumps to the start of tree for IE9 :-(
+        $(node.getChildrenUL()).show();
+      } else {
+        $(node.getChildrenUL()).slideDown("fast");
+      }
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+    }
+  }
+}
+
+function glowEffect(n,duration)
+{
+  n.addClass('glow').delay(duration).queue(function(next){
+    $(this).removeClass('glow');next();
+  });
+}
+
+function highlightAnchor()
+{
+  var anchor = $($(location).attr('hash'));
+  if (anchor.parent().attr('class')=='memItemLeft'){
+    var rows = $('.memberdecls tr[class$="'+
+               window.location.hash.substring(1)+'"]');
+    glowEffect(rows.children(),300); // member without details
+  } else if (anchor.parents().slice(2).prop('tagName')=='TR') {
+    glowEffect(anchor.parents('div.memitem'),1000); // enum value
+  } else if (anchor.parent().attr('class')=='fieldtype'){
+    glowEffect(anchor.parent().parent(),1000); // struct field
+  } else if (anchor.parent().is(":header")) {
+    glowEffect(anchor.parent(),1000); // section header
+  } else {
+    glowEffect(anchor.next(),1000); // normal member
+  }
+}
+
+function selectAndHighlight(hash,n)
+{
+  var a;
+  if (hash) {
+    var link=stripPath($(location).attr('pathname'))+':'+hash.substring(1);
+    a=$('.item a[class$="'+link+'"]');
+  }
+  if (a && a.length) {
+    a.parent().parent().addClass('selected');
+    a.parent().parent().attr('id','selected');
+    highlightAnchor();
+  } else if (n) {
+    $(n.itemDiv).addClass('selected');
+    $(n.itemDiv).attr('id','selected');
+  }
+  showRoot();
+}
+
+function showNode(o, node, index, hash)
+{
+  if (node && node.childrenData) {
+    if (typeof(node.childrenData)==='string') {
+      var varName    = node.childrenData;
+      getScript(node.relpath+varName,function(){
+        node.childrenData = getData(varName);
+        showNode(o,node,index,hash);
+      },true);
+    } else {
+      if (!node.childrenVisited) {
+        getNode(o, node);
+      }
+      $(node.getChildrenUL()).show();
+      if (node.isLast) {
+        node.plus_img.src = node.relpath+"ftv2mlastnode.png";
+      } else {
+        node.plus_img.src = node.relpath+"ftv2mnode.png";
+      }
+      node.expanded = true;
+      var n = node.children[o.breadcrumbs[index]];
+      if (index+1<o.breadcrumbs.length) {
+        showNode(o,n,index+1,hash);
+      } else {
+        if (typeof(n.childrenData)==='string') {
+          var varName = n.childrenData;
+          getScript(n.relpath+varName,function(){
+            n.childrenData = getData(varName);
+            node.expanded=false;
+            showNode(o,node,index,hash); // retry with child node expanded
+          },true);
+        } else {
+          var rootBase = stripPath(o.toroot.replace(/\..+$/, ''));
+          if (rootBase=="index" || rootBase=="pages") {
+            expandNode(o, n, true, true);
+          }
+          selectAndHighlight(hash,n);
+        }
+      }
+    }
+  } else {
+    selectAndHighlight(hash);
+  }
+}
+
+function getNode(o, po)
+{
+  po.childrenVisited = true;
+  var l = po.childrenData.length-1;
+  for (var i in po.childrenData) {
+    var nodeData = po.childrenData[i];
+    po.children[i] = newNode(o, po, nodeData[0], nodeData[1], nodeData[2],
+      i==l);
+  }
+}
+
+function gotoNode(o,subIndex,root,hash,relpath)
+{
+  var nti = navTreeSubIndices[subIndex][root+hash];
+  o.breadcrumbs = $.extend(true, [], nti ? nti : navTreeSubIndices[subIndex][root]);
+  if (!o.breadcrumbs && root!=NAVTREE[0][1]) { // fallback: show index
+    navTo(o,NAVTREE[0][1],"",relpath);
+    $('.item').removeClass('selected');
+    $('.item').removeAttr('id');
+  }
+  if (o.breadcrumbs) {
+    o.breadcrumbs.unshift(0); // add 0 for root node
+    showNode(o, o.node, 0, hash);
+  }
+}
+
+function navTo(o,root,hash,relpath)
+{
+  var link = cachedLink();
+  if (link) {
+    var parts = link.split('#');
+    root = parts[0];
+    if (parts.length>1) hash = '#'+parts[1];
+    else hash='';
+  }
+  if (root==NAVTREE[0][1]) {
+    $('#nav-sync').css('top','30px');
+  } else {
+    $('#nav-sync').css('top','5px');
+  }
+  if (hash.match(/^#l\d+$/)) {
+    var anchor=$('a[name='+hash.substring(1)+']');
+    glowEffect(anchor.parent(),1000); // line number
+    hash=''; // strip line number anchors
+    //root=root.replace(/_source\./,'.'); // source link to doc link
+  }
+  var url=root+hash;
+  var i=-1;
+  while (NAVTREEINDEX[i+1]<=url) i++;
+  if (navTreeSubIndices[i]) {
+    gotoNode(o,i,root,hash,relpath)
+  } else {
+    getScript(relpath+'navtreeindex'+i,function(){
+      navTreeSubIndices[i] = eval('NAVTREEINDEX'+i);
+      if (navTreeSubIndices[i]) {
+        gotoNode(o,i,root,hash,relpath);
+      }
+    },true);
+  }
+}
+
+function showSyncOff(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_off.png" title="'+SYNCOFFMSG+'"/>');
+}
+
+function showSyncOn(n,relpath)
+{
+    n.html('<img src="'+relpath+'sync_on.png"/ title="'+SYNCONMSG+'">');
+}
+
+function toggleSyncButton(relpath)
+{
+  var navSync = $('#nav-sync');
+  if (navSync.hasClass('sync')) {
+    navSync.removeClass('sync');
+    showSyncOff(navSync,relpath);
+    storeLink(stripPath2($(location).attr('pathname'))+$(location).attr('hash'));
+  } else {
+    navSync.addClass('sync');
+    showSyncOn(navSync,relpath);
+    deleteLink();
+  }
+}
+
+function initNavTree(toroot,relpath)
+{
+  var o = new Object();
+  o.toroot = toroot;
+  o.node = new Object();
+  o.node.li = document.getElementById("nav-tree-contents");
+  o.node.childrenData = NAVTREE;
+  o.node.children = new Array();
+  o.node.childrenUL = document.createElement("ul");
+  o.node.getChildrenUL = function() { return o.node.childrenUL; };
+  o.node.li.appendChild(o.node.childrenUL);
+  o.node.depth = 0;
+  o.node.relpath = relpath;
+  o.node.expanded = false;
+  o.node.isLast = true;
+  o.node.plus_img = document.createElement("img");
+  o.node.plus_img.src = relpath+"ftv2pnode.png";
+  o.node.plus_img.width = 16;
+  o.node.plus_img.height = 22;
+
+  if (localStorageSupported()) {
+    var navSync = $('#nav-sync');
+    if (cachedLink()) {
+      showSyncOff(navSync,relpath);
+      navSync.removeClass('sync');
+    } else {
+      showSyncOn(navSync,relpath);
+    }
+    navSync.click(function(){ toggleSyncButton(relpath); });
+  }
+
+  navTo(o,toroot,window.location.hash,relpath);
+
+  $(window).bind('hashchange', function(){
+     if (window.location.hash && window.location.hash.length>1){
+       var a;
+       if ($(location).attr('hash')){
+         var clslink=stripPath($(location).attr('pathname'))+':'+
+                               $(location).attr('hash').substring(1);
+         a=$('.item a[class$="'+clslink+'"]');
+       }
+       if (a==null || !$(a).parent().parent().hasClass('selected')){
+         $('.item').removeClass('selected');
+         $('.item').removeAttr('id');
+       }
+       var link=stripPath2($(location).attr('pathname'));
+       navTo(o,link,$(location).attr('hash'),relpath);
+     }
+  })
+
+  $(window).load(showRoot);
+}
+
diff --git a/Documentation/RTOS/html/navtreeindex0.js b/Documentation/RTOS/html/navtreeindex0.js
new file mode 100644
index 0000000..0e8fe7d
--- /dev/null
+++ b/Documentation/RTOS/html/navtreeindex0.js
@@ -0,0 +1,161 @@
+var NAVTREEINDEX0 =
+{
+"_function_overview.html":[3],
+"_function_overview.html#CMSIS_RTOS_ISR_Calls":[3,1],
+"_function_overview.html#CMSIS_RTOS_TimeOutValue":[3,0],
+"_rtos_validation.html":[5],
+"_rtos_validation.html#test_output":[5,0],
+"_using_o_s.html":[2],
+"annotated.html":[7],
+"classes.html":[8],
+"cmsis_os_h.html":[4],
+"functions.html":[9,0],
+"functions_vars.html":[9,1],
+"group___c_m_s_i_s___r_t_o_s.html":[6,0],
+"group___c_m_s_i_s___r_t_o_s___definitions.html":[6,0,5],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#a0b9f8fd3645f01d8cb09cae82add2d7f":[6,0,5,0,7],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#a117104b82864d3b23ec174af6d392709":[6,0,5,0,3],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#a596b6d55c3321db19239256bbe403df6":[6,0,5,0,0],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#a9e0a00edabf3b8a5dafff624fff7bbfc":[6,0,5,0,6],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#ac86175a4b1706bee596f3018322df26e":[6,0,5,0,1],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#ad0dda1bf7e74f1576261d493fba232b6":[6,0,5,0,4],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#ad477a289f1f03ac45407b64268d707d3":[6,0,5,0,5],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#af394cbe21dde7377974e63af38cd87b0":[6,0,5,0,2],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#structos__mail_q":[6,0,5,1],
+"group___c_m_s_i_s___r_t_o_s___definitions.html#structos_event":[6,0,5,0],
+"group___c_m_s_i_s___r_t_o_s___inter_thread.html":[6,0,4],
+"group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html":[6,0,0],
+"group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga22f7d235bc9f783933bd5a981fd79696":[6,0,0,2],
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+<tr id="row_0_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="rtos_revision_history.html" target="_self">Revision History</a></td><td class="desc"></td></tr>
+<tr id="row_1_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="_using_o_s.html" target="_self">Using a CMSIS-RTOS Implementation</a></td><td class="desc"></td></tr>
+<tr id="row_2_" class="even"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="_function_overview.html" target="_self">Function Overview</a></td><td class="desc"></td></tr>
+<tr id="row_3_"><td class="entry"><img src="ftv2node.png" alt="o" width="16" height="22" /><a class="el" href="cmsis_os_h.html" target="_self">Header File Template: cmsis_os.h</a></td><td class="desc"></td></tr>
+<tr id="row_4_" class="even"><td class="entry"><img src="ftv2lastnode.png" alt="\" width="16" height="22" /><a class="el" href="_rtos_validation.html" target="_self">RTOS Validation</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
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+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:44 for CMSIS-RTOS by ARM Ltd. All rights reserved.
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+
+// constuctor for the array of objects
+function tabElement(id, folderName, tabTxt )  {
+	this.id = id;                                       // elementID as needed in html; 
+	this.folderName = folderName;                       // folder name of the component 
+    this.tabTxt = tabTxt;                               // Text displayed as menu on the web
+	this.currentListItem = '<li id="' + this.id + '" class="current"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+	this.listItem = '<li id="' + this.id + '"> <a href="../..' + this.folderName + 'index.html"><span>' + this.tabTxt + '</span></a></li>';
+};
+
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+
+// fill array
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+ arr.push( new tabElement( "CORE",   "/Core/html/",        "Core")      );
+ arr.push( new tabElement( "DRV",    "/Driver/html/",      "Driver")    );
+ arr.push( new tabElement( "DSP",    "/DSP/html/",         "DSP")       );
+ arr.push( new tabElement( "RTOS",   "/RTOS/html/",        "RTOS API")  );
+ arr.push( new tabElement( "RTX",    "/RTX/html/",         "RTX")       );
+ arr.push( new tabElement( "PACK",   "/Pack/html/",        "Pack")      );
+ arr.push( new tabElement( "SVD",    "/SVD/html/",         "SVD")       );
+ arr.push( new tabElement( "DAP",    "/DAP/html/",         "DAP")       );
+ 
+// write tabs
+// called from the header file.
+function writeComponentTabs()  {
+  for ( var i=0; i < arr.length; i++ ) {
+    if (strgURL.search(arr[i].folderName) > 0) {                    // if this is the current folder
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+  }
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+}
+
+function restoreWidth(navWidth)
+{
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+  content.css({marginLeft:parseInt(navWidth)+6+"px"});
+  sidenav.css({width:navWidth + "px"});
+}
+
+function resizeHeight() 
+{
+  var headerHeight = header.height();
+  var footerHeight = footer.height();
+  var windowHeight = $(window).height() - headerHeight - footerHeight;
+  content.css({height:windowHeight + "px"});
+  navtree.css({height:windowHeight + "px"});
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diff --git a/Documentation/RTOS/html/rtos_revision_history.html b/Documentation/RTOS/html/rtos_revision_history.html
new file mode 100644
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>Revision History</title>
+<title>CMSIS-RTOS: Revision History</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="resize.js"></script>
+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
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+    </div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('rtos_revision_history.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="headertitle">
+<div class="title">Revision History </div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><table  class="cmtable" summary="Revision History">
+<tr>
+<th>Version </th><th>Description  </th></tr>
+<tr>
+<td>V1.02 - only documentation changes </td><td>Added: Overview of the <a class="el" href="_rtos_validation.html">CMSIS-RTOS Validation</a> Software Pack.<br/>
+ Clarified: Behaviour of <a class="el" href="_function_overview.html#CMSIS_RTOS_TimeOutValue">Timout Value</a>.   </td></tr>
+<tr>
+<td>V1.02 </td><td>Added: New control functions for short timeouts in microsecond resolution <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gad0262e4688e95d1e9038afd9bcc16001">osKernelSysTick</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga9e0954d52722673e2031233a2ab99960">osKernelSysTickFrequency</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gae12c190af42d7310d8006d64f4ed5a88">osKernelSysTickMicroSec</a>.<br/>
+ Removed: osSignalGet.   </td></tr>
+<tr>
+<td>V1.01 </td><td>Added capabilities for C++, kernel initialization and object deletion.<br/>
+ Prepared for C++ class interface. In this context to <em>const</em> attribute has been moved from osXxxxDef_t typedefs to the osXxxxDef macros.<br/>
+ Added: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga746b8043d906849bd65e3900fcb483cf">osTimerDelete</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___mutex_mgmt.html#gac27e24135185d51d18f3dabc20910219">osMutexDelete</a>, <a class="el" href="group___c_m_s_i_s___r_t_o_s___semaphore_mgmt.html#gabae2801ac2c096f6e8c69a264908f595">osSemaphoreDelete</a>.<br/>
+ Added: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#ga53d078a801022e202e8115c083ece68e">osKernelInitialize</a> that prepares the Kernel for object creation.<br/>
+   </td></tr>
+<tr>
+<td>V1.00 </td><td>First official Release.<br/>
+ Added: <a class="el" href="group___c_m_s_i_s___r_t_o_s___kernel_ctrl.html#gaab668ffd2ea76bb0a77ab0ab385eaef2">osKernelStart</a>; starting 'main' as a thread is now an optional feature.<br/>
+ Semaphores have now the standard behavior.<br/>
+ <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#gaedd312bfdca04e0b8162b666e09a1ae6">osTimerCreate</a> does no longer start the timer. Added: <a class="el" href="group___c_m_s_i_s___r_t_o_s___timer_mgmt.html#ga27a797a401b068e2644d1125f22a07ca">osTimerStart</a> (replaces osTimerRestart).<br/>
+ Changed: osThreadPass is renamed to <a class="el" href="group___c_m_s_i_s___r_t_o_s___thread_mgmt.html#gaf13a667493c5d629a90c13e113b99233">osThreadYield</a>.   </td></tr>
+<tr>
+<td>V0.02 </td><td>Preview Release.  </td></tr>
+</table>
+</div></div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
+	-->
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+  </ul>
+</div>
+</body>
+</html>
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diff --git a/Documentation/RTOS/html/structos_mail_q_def__t.html b/Documentation/RTOS/html/structos_mail_q_def__t.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>osMailQDef_t Struct Reference</title>
+<title>CMSIS-RTOS: osMailQDef_t Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
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+    </div>
+  </div>
+  <div id="splitbar" style="-moz-user-select:none;" 
+       class="ui-resizable-handle">
+  </div>
+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('structos_mail_q_def__t.html','');});
+</script>
+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">osMailQDef_t Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Definition structure for mail queue.  
+ <a href="structos_mail_q_def__t.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a8a83a3a8c0aa8057b13807d2a54077e0"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structos_mail_q_def__t.html#a8a83a3a8c0aa8057b13807d2a54077e0">queue_sz</a></td></tr>
+<tr class="memdesc:a8a83a3a8c0aa8057b13807d2a54077e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">number of elements in the queue  <a href="#a8a83a3a8c0aa8057b13807d2a54077e0"></a><br/></td></tr>
+<tr class="separator:a8a83a3a8c0aa8057b13807d2a54077e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c2a0c691de3365c00ecd22d8102811f"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structos_mail_q_def__t.html#a4c2a0c691de3365c00ecd22d8102811f">item_sz</a></td></tr>
+<tr class="memdesc:a4c2a0c691de3365c00ecd22d8102811f"><td class="mdescLeft">&#160;</td><td class="mdescRight">size of an item  <a href="#a4c2a0c691de3365c00ecd22d8102811f"></a><br/></td></tr>
+<tr class="separator:a4c2a0c691de3365c00ecd22d8102811f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a269c3935f8bc66db70bccdd02cb05e3c"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structos_mail_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c">pool</a></td></tr>
+<tr class="memdesc:a269c3935f8bc66db70bccdd02cb05e3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">memory array for mail  <a href="#a269c3935f8bc66db70bccdd02cb05e3c"></a><br/></td></tr>
+<tr class="separator:a269c3935f8bc66db70bccdd02cb05e3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_mailQ_def</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+</div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a4c2a0c691de3365c00ecd22d8102811f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">uint32_t item_sz</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a269c3935f8bc66db70bccdd02cb05e3c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void* pool</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
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+          <td class="memname">uint32_t queue_sz</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structos_mail_q_def__t.html">osMailQDef_t</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+    [ "pool", "structos_mail_q_def__t.html#a269c3935f8bc66db70bccdd02cb05e3c", null ],
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+];
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>osMessageQDef_t Struct Reference</title>
+<title>CMSIS-RTOS: osMessageQDef_t Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
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+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
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+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">osMessageQDef_t Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Definition structure for message queue.  
+ <a href="structos_message_q_def__t.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
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+</div><h2 class="groupheader">Field Documentation</h2>
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+<div class="memitem">
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+<div class="memitem">
+<div class="memproto">
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+      </table>
+</div><div class="memdoc">
+
+</div>
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+<a class="anchor" id="a8a83a3a8c0aa8057b13807d2a54077e0"></a>
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+      </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="structos_message_q_def__t.html">osMessageQDef_t</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.2 
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
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+<title>CMSIS-RTOS: osMutexDef_t Struct Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="printComponentTabs.js"></script>
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+<script type="text/javascript">
+  $(document).ready(initResizable);
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+<link href="stylsheetf" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
+      <script type="text/javascript">
+		<!--
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
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+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">osMutexDef_t Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Mutex Definition structure contains setup information for a mutex.  
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_mutex_def</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+</div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a44b7a3baf02bac7ad707e8f2f5eca1ca"></a>
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+  <ul>
+    <li class="navelem"><a class="el" href="structos_mutex_def__t.html">osMutexDef_t</a></li>
+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
+    <a href="http://www.doxygen.org/index.html">
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+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>osPoolDef_t Struct Reference</title>
+<title>CMSIS-RTOS: osPoolDef_t Struct Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<link href="cmsis.css" rel="stylesheet" type="text/css" />
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<script type="text/javascript" src="printComponentTabs.js"></script>
+<link href="navtree.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="navtree.js"></script>
+<script type="text/javascript">
+  $(document).ready(initResizable);
+</script>
+<link href="stylsheetf" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
+   &#160;<span id="projectnumber">Version 1.02</span>
+   </div>
+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<div id="CMSISnav" class="tabs1">
+    <ul class="tablist">
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+      <li><a href="pages.html"><span>Usage&#160;and&#160;Description</span></a></li>
+      <li><a href="modules.html"><span>Reference</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Data&#160;Structures</span></a></li>
+      <li><a href="classes.html"><span>Data&#160;Structure&#160;Index</span></a></li>
+      <li><a href="functions.html"><span>Data&#160;Fields</span></a></li>
+    </ul>
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+</div><!-- top -->
+<div id="side-nav" class="ui-resizable side-nav-resizable">
+  <div id="nav-tree">
+    <div id="nav-tree-contents">
+      <div id="nav-sync" class="sync"></div>
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+  <div id="splitbar" style="-moz-user-select:none;" 
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+</div>
+<script type="text/javascript">
+$(document).ready(function(){initNavTree('structos_pool_def__t.html','');});
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+<div id="doc-content">
+<div class="header">
+  <div class="summary">
+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">osPoolDef_t Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Definition structure for memory block allocation.  
+ <a href="structos_pool_def__t.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
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+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
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+<p>Semaphore Definition structure contains setup information for a semaphore.  
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+	<!--
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>CMSIS-RTOS: osThreadDef_t Struct Reference</title>
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+<link href="cmsis.css" rel="stylesheet" type="text/css" />
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+ <tr style="height: 46px;">
+  <td id="projectlogo"><img alt="Logo" src="CMSIS_Logo_Final.png"/></td>
+  <td style="padding-left: 0.5em;">
+   <div id="projectname">CMSIS-RTOS
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+<div class="title">osThreadDef_t Struct Reference</div>  </div>
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+<div class="contents">
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+  <ul>
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+    <li class="footer">Generated on Tue Oct 27 2015 14:35:43 for CMSIS-RTOS by ARM Ltd. All rights reserved.
+	<!--
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<title>osTimerDef_t Struct Reference</title>
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+   <div id="projectbrief">CMSIS-RTOS API: Generic RTOS interface for Cortex-M processor-based devices.</div>
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+<a href="#pub-attribs">Data Fields</a>  </div>
+  <div class="headertitle">
+<div class="title">osTimerDef_t Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Timer Definition structure contains timer parameters.  
+ <a href="structos_timer_def__t.html#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Data Fields</h2></td></tr>
+<tr class="memitem:a15773df83aba93f8e61f3737af5fae47"><td class="memItemLeft" align="right" valign="top"><a class="el" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065">os_ptimer</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structos_timer_def__t.html#a15773df83aba93f8e61f3737af5fae47">ptimer</a></td></tr>
+<tr class="memdesc:a15773df83aba93f8e61f3737af5fae47"><td class="mdescLeft">&#160;</td><td class="mdescRight">start address of a timer function  <a href="#a15773df83aba93f8e61f3737af5fae47"></a><br/></td></tr>
+<tr class="separator:a15773df83aba93f8e61f3737af5fae47"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
+<div class="textblock"><dl class="section note"><dt>Note</dt><dd>CAN BE CHANGED: <b>os_timer_def</b> is implementation specific in every CMSIS-RTOS. </dd></dl>
+</div><h2 class="groupheader">Field Documentation</h2>
+<a class="anchor" id="a15773df83aba93f8e61f3737af5fae47"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="cmsis__os_8h.html#aa2d85e49bde9f6951ff3545cd323f065">os_ptimer</a> ptimer</td>
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diff --git a/Include/arm_common_tables.h b/Include/arm_common_tables.h
new file mode 100644
index 0000000..8742a56
--- /dev/null
+++ b/Include/arm_common_tables.h
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        19. October 2015
+* $Revision: 	V.1.4.5 a
+*
+* Project: 	    CMSIS DSP Library
+* Title:	    arm_common_tables.h
+*
+* Description:	This file has extern declaration for common tables like Bitreverse, reciprocal etc which are used across different functions
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#ifndef _ARM_COMMON_TABLES_H
+#define _ARM_COMMON_TABLES_H
+
+#include "arm_math.h"
+
+extern const uint16_t armBitRevTable[1024];
+extern const q15_t armRecipTableQ15[64];
+extern const q31_t armRecipTableQ31[64];
+/* extern const q31_t realCoefAQ31[1024]; */
+/* extern const q31_t realCoefBQ31[1024]; */
+extern const float32_t twiddleCoef_16[32];
+extern const float32_t twiddleCoef_32[64];
+extern const float32_t twiddleCoef_64[128];
+extern const float32_t twiddleCoef_128[256];
+extern const float32_t twiddleCoef_256[512];
+extern const float32_t twiddleCoef_512[1024];
+extern const float32_t twiddleCoef_1024[2048];
+extern const float32_t twiddleCoef_2048[4096];
+extern const float32_t twiddleCoef_4096[8192];
+#define twiddleCoef twiddleCoef_4096
+extern const q31_t twiddleCoef_16_q31[24];
+extern const q31_t twiddleCoef_32_q31[48];
+extern const q31_t twiddleCoef_64_q31[96];
+extern const q31_t twiddleCoef_128_q31[192];
+extern const q31_t twiddleCoef_256_q31[384];
+extern const q31_t twiddleCoef_512_q31[768];
+extern const q31_t twiddleCoef_1024_q31[1536];
+extern const q31_t twiddleCoef_2048_q31[3072];
+extern const q31_t twiddleCoef_4096_q31[6144];
+extern const q15_t twiddleCoef_16_q15[24];
+extern const q15_t twiddleCoef_32_q15[48];
+extern const q15_t twiddleCoef_64_q15[96];
+extern const q15_t twiddleCoef_128_q15[192];
+extern const q15_t twiddleCoef_256_q15[384];
+extern const q15_t twiddleCoef_512_q15[768];
+extern const q15_t twiddleCoef_1024_q15[1536];
+extern const q15_t twiddleCoef_2048_q15[3072];
+extern const q15_t twiddleCoef_4096_q15[6144];
+extern const float32_t twiddleCoef_rfft_32[32];
+extern const float32_t twiddleCoef_rfft_64[64];
+extern const float32_t twiddleCoef_rfft_128[128];
+extern const float32_t twiddleCoef_rfft_256[256];
+extern const float32_t twiddleCoef_rfft_512[512];
+extern const float32_t twiddleCoef_rfft_1024[1024];
+extern const float32_t twiddleCoef_rfft_2048[2048];
+extern const float32_t twiddleCoef_rfft_4096[4096];
+
+
+/* floating-point bit reversal tables */
+#define ARMBITREVINDEXTABLE__16_TABLE_LENGTH ((uint16_t)20  )
+#define ARMBITREVINDEXTABLE__32_TABLE_LENGTH ((uint16_t)48  )
+#define ARMBITREVINDEXTABLE__64_TABLE_LENGTH ((uint16_t)56  )
+#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208 )
+#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440 )
+#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448 )
+#define ARMBITREVINDEXTABLE1024_TABLE_LENGTH ((uint16_t)1800)
+#define ARMBITREVINDEXTABLE2048_TABLE_LENGTH ((uint16_t)3808)
+#define ARMBITREVINDEXTABLE4096_TABLE_LENGTH ((uint16_t)4032)
+
+extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH];
+
+/* fixed-point bit reversal tables */
+#define ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH ((uint16_t)12  )
+#define ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH ((uint16_t)24  )
+#define ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH ((uint16_t)56  )
+#define ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH ((uint16_t)112 )
+#define ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH ((uint16_t)240 )
+#define ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH ((uint16_t)480 )
+#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992 )
+#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
+#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
+
+extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
+
+/* Tables for Fast Math Sine and Cosine */
+extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
+extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
+extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
+
+#endif /*  ARM_COMMON_TABLES_H */
diff --git a/Include/arm_const_structs.h b/Include/arm_const_structs.h
new file mode 100644
index 0000000..726d06e
--- /dev/null
+++ b/Include/arm_const_structs.h
@@ -0,0 +1,79 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date:        19. March 2015
+* $Revision: 	V.1.4.5
+*
+* Project: 	    CMSIS DSP Library
+* Title:	    arm_const_structs.h
+*
+* Description:	This file has constant structs that are initialized for
+*              user convenience.  For example, some can be given as
+*              arguments to the arm_cfft_f32() function.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#ifndef _ARM_CONST_STRUCTS_H
+#define _ARM_CONST_STRUCTS_H
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
+
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
+
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
+
+#endif
diff --git a/Include/arm_math.h b/Include/arm_math.h
new file mode 100644
index 0000000..d33f8a9
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@@ -0,0 +1,7154 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2015 ARM Limited. All rights reserved.
+*
+* $Date:        20. October 2015
+* $Revision:    V1.4.5 b
+*
+* Project:      CMSIS DSP Library
+* Title:        arm_math.h
+*
+* Description:  Public header file for CMSIS DSP Library
+*
+* Target Processor: Cortex-M7/Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+   \mainpage CMSIS DSP Software Library
+   *
+   * Introduction
+   * ------------
+   *
+   * This user manual describes the CMSIS DSP software library,
+   * a suite of common signal processing functions for use on Cortex-M processor based devices.
+   *
+   * The library is divided into a number of functions each covering a specific category:
+   * - Basic math functions
+   * - Fast math functions
+   * - Complex math functions
+   * - Filters
+   * - Matrix functions
+   * - Transforms
+   * - Motor control functions
+   * - Statistical functions
+   * - Support functions
+   * - Interpolation functions
+   *
+   * The library has separate functions for operating on 8-bit integers, 16-bit integers,
+   * 32-bit integer and 32-bit floating-point values.
+   *
+   * Using the Library
+   * ------------
+   *
+   * The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.
+   * - arm_cortexM7lfdp_math.lib (Little endian and Double Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7bfdp_math.lib (Big endian and Double Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7lfsp_math.lib (Little endian and Single Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7bfsp_math.lib (Big endian and Single Precision Floating Point Unit on Cortex-M7)
+   * - arm_cortexM7l_math.lib (Little endian on Cortex-M7)
+   * - arm_cortexM7b_math.lib (Big endian on Cortex-M7)
+   * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4)
+   * - arm_cortexM4bf_math.lib (Big endian and Floating Point Unit on Cortex-M4)
+   * - arm_cortexM4l_math.lib (Little endian on Cortex-M4)
+   * - arm_cortexM4b_math.lib (Big endian on Cortex-M4)
+   * - arm_cortexM3l_math.lib (Little endian on Cortex-M3)
+   * - arm_cortexM3b_math.lib (Big endian on Cortex-M3)
+   * - arm_cortexM0l_math.lib (Little endian on Cortex-M0 / CortexM0+)
+   * - arm_cortexM0b_math.lib (Big endian on Cortex-M0 / CortexM0+)
+   *
+   * The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.
+   * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
+   * public header file <code> arm_math.h</code> for Cortex-M7/M4/M3/M0/M0+ with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
+   * Define the appropriate pre processor MACRO ARM_MATH_CM7 or ARM_MATH_CM4 or  ARM_MATH_CM3 or
+   * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.
+   *
+   * Examples
+   * --------
+   *
+   * The library ships with a number of examples which demonstrate how to use the library functions.
+   *
+   * Toolchain Support
+   * ------------
+   *
+   * The library has been developed and tested with MDK-ARM version 5.14.0.0
+   * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
+   *
+   * Building the Library
+   * ------------
+   *
+   * The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder.
+   * - arm_cortexM_math.uvprojx
+   *
+   *
+   * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above.
+   *
+   * Pre-processor Macros
+   * ------------
+   *
+   * Each library project have differant pre-processor macros.
+   *
+   * - UNALIGNED_SUPPORT_DISABLE:
+   *
+   * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access
+   *
+   * - ARM_MATH_BIG_ENDIAN:
+   *
+   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+   *
+   * - ARM_MATH_MATRIX_CHECK:
+   *
+   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+   *
+   * - ARM_MATH_ROUNDING:
+   *
+   * Define macro ARM_MATH_ROUNDING for rounding on support functions
+   *
+   * - ARM_MATH_CMx:
+   *
+   * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target
+   * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and
+   * ARM_MATH_CM7 for building the library on cortex-M7.
+   *
+   * - __FPU_PRESENT:
+   *
+   * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries
+   *
+   * <hr>
+   * CMSIS-DSP in ARM::CMSIS Pack
+   * -----------------------------
+   *
+   * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:
+   * |File/Folder                   |Content                                                                 |
+   * |------------------------------|------------------------------------------------------------------------|
+   * |\b CMSIS\\Documentation\\DSP  | This documentation                                                     |
+   * |\b CMSIS\\DSP_Lib             | Software license agreement (license.txt)                               |
+   * |\b CMSIS\\DSP_Lib\\Examples   | Example projects demonstrating the usage of the library functions      |
+   * |\b CMSIS\\DSP_Lib\\Source     | Source files for rebuilding the library                                |
+   *
+   * <hr>
+   * Revision History of CMSIS-DSP
+   * ------------
+   * Please refer to \ref ChangeLog_pg.
+   *
+   * Copyright Notice
+   * ------------
+   *
+   * Copyright (C) 2010-2015 ARM Limited. All rights reserved.
+   */
+
+
+/**
+ * @defgroup groupMath Basic Math Functions
+ */
+
+/**
+ * @defgroup groupFastMath Fast Math Functions
+ * This set of functions provides a fast approximation to sine, cosine, and square root.
+ * As compared to most of the other functions in the CMSIS math library, the fast math functions
+ * operate on individual values and not arrays.
+ * There are separate functions for Q15, Q31, and floating-point data.
+ *
+ */
+
+/**
+ * @defgroup groupCmplxMath Complex Math Functions
+ * This set of functions operates on complex data vectors.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * In the API functions, the number of samples in a complex array refers
+ * to the number of complex values; the array contains twice this number of
+ * real values.
+ */
+
+/**
+ * @defgroup groupFilters Filtering Functions
+ */
+
+/**
+ * @defgroup groupMatrix Matrix Functions
+ *
+ * This set of functions provides basic matrix math operations.
+ * The functions operate on matrix data structures.  For example,
+ * the type
+ * definition for the floating-point matrix structure is shown
+ * below:
+ * <pre>
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ * </pre>
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data.  The array is of size <code>numRows X numCols</code>
+ * and the values are arranged in row order.  That is, the
+ * matrix element (i, j) is stored at:
+ * <pre>
+ *     pData[i*numCols + j]
+ * </pre>
+ *
+ * \par Init Functions
+ * There is an associated initialization function for each type of matrix
+ * data structure.
+ * The initialization function sets the values of the internal structure fields.
+ * Refer to the function <code>arm_mat_init_f32()</code>, <code>arm_mat_init_q31()</code>
+ * and <code>arm_mat_init_q15()</code> for floating-point, Q31 and Q15 types,  respectively.
+ *
+ * \par
+ * Use of the initialization function is optional. However, if initialization function is used
+ * then the instance structure cannot be placed into a const data section.
+ * To place the instance structure in a const data
+ * section, manually initialize the data structure.  For example:
+ * <pre>
+ * <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
+ * </pre>
+ * where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
+ * specifies the number of columns, and <code>pData</code> points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices.  For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns.  If the size check fails the functions return:
+ * <pre>
+ *     ARM_MATH_SIZE_MISMATCH
+ * </pre>
+ * Otherwise the functions return
+ * <pre>
+ *     ARM_MATH_SUCCESS
+ * </pre>
+ * There is some overhead associated with this matrix size checking.
+ * The matrix size checking is enabled via the \#define
+ * <pre>
+ *     ARM_MATH_MATRIX_CHECK
+ * </pre>
+ * within the library project settings.  By default this macro is defined
+ * and size checking is enabled.  By changing the project settings and
+ * undefining this macro size checking is eliminated and the functions
+ * run a bit faster.  With size checking disabled the functions always
+ * return <code>ARM_MATH_SUCCESS</code>.
+ */
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+/**
+ * @defgroup groupController Controller Functions
+ */
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+/**
+ * @defgroup groupExamples Examples
+ */
+#ifndef _ARM_MATH_H
+#define _ARM_MATH_H
+
+/* ignore some GCC warnings */
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wsign-conversion"
+#pragma GCC diagnostic ignored "-Wconversion"
+#pragma GCC diagnostic ignored "-Wunused-parameter"
+#endif
+
+#define __CMSIS_GENERIC         /* disable NVIC and Systick functions */
+
+#if defined(ARM_MATH_CM7)
+  #include "core_cm7.h"
+#elif defined (ARM_MATH_CM4)
+  #include "core_cm4.h"
+#elif defined (ARM_MATH_CM3)
+  #include "core_cm3.h"
+#elif defined (ARM_MATH_CM0)
+  #include "core_cm0.h"
+  #define ARM_MATH_CM0_FAMILY
+#elif defined (ARM_MATH_CM0PLUS)
+  #include "core_cm0plus.h"
+  #define ARM_MATH_CM0_FAMILY
+#else
+  #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS or ARM_MATH_CM0"
+#endif
+
+#undef  __CMSIS_GENERIC         /* enable NVIC and Systick functions */
+#include "string.h"
+#include "math.h"
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+  /**
+   * @brief Macros required for reciprocal calculation in Normalized LMS
+   */
+
+#define DELTA_Q31          (0x100)
+#define DELTA_Q15          0x5
+#define INDEX_MASK         0x0000003F
+#ifndef PI
+#define PI                 3.14159265358979f
+#endif
+
+  /**
+   * @brief Macros required for SINE and COSINE Fast math approximations
+   */
+
+#define FAST_MATH_TABLE_SIZE  512
+#define FAST_MATH_Q31_SHIFT   (32 - 10)
+#define FAST_MATH_Q15_SHIFT   (16 - 10)
+#define CONTROLLER_Q31_SHIFT  (32 - 9)
+#define TABLE_SIZE  256
+#define TABLE_SPACING_Q31     0x400000
+#define TABLE_SPACING_Q15     0x80
+
+  /**
+   * @brief Macros required for SINE and COSINE Controller functions
+   */
+  /* 1.31(q31) Fixed value of 2/360 */
+  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
+#define INPUT_SPACING         0xB60B61
+
+  /**
+   * @brief Macro for Unaligned Support
+   */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+    #define ALIGN4
+#else
+  #if defined  (__GNUC__)
+    #define ALIGN4 __attribute__((aligned(4)))
+  #else
+    #define ALIGN4 __align(4)
+  #endif
+#endif   /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+  /**
+   * @brief Error status returned by some functions in the library.
+   */
+
+  typedef enum
+  {
+    ARM_MATH_SUCCESS = 0,                /**< No error */
+    ARM_MATH_ARGUMENT_ERROR = -1,        /**< One or more arguments are incorrect */
+    ARM_MATH_LENGTH_ERROR = -2,          /**< Length of data buffer is incorrect */
+    ARM_MATH_SIZE_MISMATCH = -3,         /**< Size of matrices is not compatible with the operation. */
+    ARM_MATH_NANINF = -4,                /**< Not-a-number (NaN) or infinity is generated */
+    ARM_MATH_SINGULAR = -5,              /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */
+    ARM_MATH_TEST_FAILURE = -6           /**< Test Failed  */
+  } arm_status;
+
+  /**
+   * @brief 8-bit fractional data type in 1.7 format.
+   */
+  typedef int8_t q7_t;
+
+  /**
+   * @brief 16-bit fractional data type in 1.15 format.
+   */
+  typedef int16_t q15_t;
+
+  /**
+   * @brief 32-bit fractional data type in 1.31 format.
+   */
+  typedef int32_t q31_t;
+
+  /**
+   * @brief 64-bit fractional data type in 1.63 format.
+   */
+  typedef int64_t q63_t;
+
+  /**
+   * @brief 32-bit floating-point type definition.
+   */
+  typedef float float32_t;
+
+  /**
+   * @brief 64-bit floating-point type definition.
+   */
+  typedef double float64_t;
+
+  /**
+   * @brief definition to read/write two 16 bit values.
+   */
+#if defined __CC_ARM
+  #define __SIMD32_TYPE int32_t __packed
+  #define CMSIS_UNUSED __attribute__((unused))
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED __attribute__((unused))
+
+#elif defined __GNUC__
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED __attribute__((unused))
+
+#elif defined __ICCARM__
+  #define __SIMD32_TYPE int32_t __packed
+  #define CMSIS_UNUSED
+
+#elif defined __CSMC__
+  #define __SIMD32_TYPE int32_t
+  #define CMSIS_UNUSED
+
+#elif defined __TASKING__
+  #define __SIMD32_TYPE __unaligned int32_t
+  #define CMSIS_UNUSED
+
+#else
+  #error Unknown compiler
+#endif
+
+#define __SIMD32(addr)        (*(__SIMD32_TYPE **) & (addr))
+#define __SIMD32_CONST(addr)  ((__SIMD32_TYPE *)(addr))
+#define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE *)  (addr))
+#define __SIMD64(addr)        (*(int64_t **) & (addr))
+
+#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY)
+  /**
+   * @brief definition to pack two 16 bit values.
+   */
+#define __PKHBT(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0x0000FFFF) | \
+                                         (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )
+#define __PKHTB(ARG1, ARG2, ARG3)      ( (((int32_t)(ARG1) <<  0) & (int32_t)0xFFFF0000) | \
+                                         (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )
+
+#endif
+
+
+   /**
+   * @brief definition to pack four 8 bit values.
+   */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) | \
+                                (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) | \
+                                (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+                                (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
+#else
+
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) | \
+                                (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) | \
+                                (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+                                (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
+
+#endif
+
+
+  /**
+   * @brief Clips Q63 to Q31 values.
+   */
+  static __INLINE q31_t clip_q63_to_q31(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
+  }
+
+  /**
+   * @brief Clips Q63 to Q15 values.
+   */
+  static __INLINE q15_t clip_q63_to_q15(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
+  }
+
+  /**
+   * @brief Clips Q31 to Q7 values.
+   */
+  static __INLINE q7_t clip_q31_to_q7(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
+      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
+  }
+
+  /**
+   * @brief Clips Q31 to Q15 values.
+   */
+  static __INLINE q15_t clip_q31_to_q15(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
+  }
+
+  /**
+   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
+   */
+
+  static __INLINE q63_t mult32x64(
+  q63_t x,
+  q31_t y)
+  {
+    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
+            (((q63_t) (x >> 32) * y)));
+  }
+
+/*
+  #if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM   )
+  #define __CLZ __clz
+  #endif
+ */
+/* note: function can be removed when all toolchain support __CLZ for Cortex-M0 */
+#if defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__))  )
+  static __INLINE uint32_t __CLZ(
+  q31_t data);
+
+  static __INLINE uint32_t __CLZ(
+  q31_t data)
+  {
+    uint32_t count = 0;
+    uint32_t mask = 0x80000000;
+
+    while((data & mask) == 0)
+    {
+      count += 1u;
+      mask = mask >> 1u;
+    }
+
+    return (count);
+  }
+#endif
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
+   */
+
+  static __INLINE uint32_t arm_recip_q31(
+  q31_t in,
+  q31_t * dst,
+  q31_t * pRecipTable)
+  {
+    q31_t out;
+    uint32_t tempVal;
+    uint32_t index, i;
+    uint32_t signBits;
+
+    if(in > 0)
+    {
+      signBits = ((uint32_t) (__CLZ( in) - 1));
+    }
+    else
+    {
+      signBits = ((uint32_t) (__CLZ(-in) - 1));
+    }
+
+    /* Convert input sample to 1.31 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >> 24);
+    index = (index & INDEX_MASK);
+
+    /* 1.31 with exp 1 */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0u; i < 2u; i++)
+    {
+      tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+      tempVal = 0x7FFFFFFFu - tempVal;
+      /*      1.31 with exp 1 */
+      /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+      out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1u);
+  }
+
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
+   */
+  static __INLINE uint32_t arm_recip_q15(
+  q15_t in,
+  q15_t * dst,
+  q15_t * pRecipTable)
+  {
+    q15_t out = 0;
+    uint32_t tempVal = 0;
+    uint32_t index = 0, i = 0;
+    uint32_t signBits = 0;
+
+    if(in > 0)
+    {
+      signBits = ((uint32_t)(__CLZ( in) - 17));
+    }
+    else
+    {
+      signBits = ((uint32_t)(__CLZ(-in) - 17));
+    }
+
+    /* Convert input sample to 1.15 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >>  8);
+    index = (index & INDEX_MASK);
+
+    /*      1.15 with exp 1  */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0u; i < 2u; i++)
+    {
+      tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+      tempVal = 0x7FFFu - tempVal;
+      /*      1.15 with exp 1 */
+      out = (q15_t) (((q31_t) out * tempVal) >> 14);
+      /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1);
+  }
+
+
+  /*
+   * @brief C custom defined intrinisic function for only M0 processors
+   */
+#if defined(ARM_MATH_CM0_FAMILY)
+  static __INLINE q31_t __SSAT(
+  q31_t x,
+  uint32_t y)
+  {
+    int32_t posMax, negMin;
+    uint32_t i;
+
+    posMax = 1;
+    for (i = 0; i < (y - 1); i++)
+    {
+      posMax = posMax * 2;
+    }
+
+    if(x > 0)
+    {
+      posMax = (posMax - 1);
+
+      if(x > posMax)
+      {
+        x = posMax;
+      }
+    }
+    else
+    {
+      negMin = -posMax;
+
+      if(x < negMin)
+      {
+        x = negMin;
+      }
+    }
+    return (x);
+  }
+#endif /* end of ARM_MATH_CM0_FAMILY */
+
+
+  /*
+   * @brief C custom defined intrinsic function for M3 and M0 processors
+   */
+#if defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY)
+
+  /*
+   * @brief C custom defined QADD8 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QADD8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) + (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) + (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB8 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QSUB8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) - (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) - (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QADD16 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+/*  q31_t r,     s;  without initialisation 'arm_offset_q15 test' fails  but 'intrinsic' tests pass! for armCC */
+    q31_t r = 0, s = 0;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHADD16 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SHADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB16 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSUB16 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SHSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QASX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHASX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SHASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSAX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __QSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSAX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SHSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSDX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMUSDX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+  /*
+   * @brief C custom defined SMUADX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMUADX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined QADD for M3 and M0 processors
+   */
+  static __INLINE int32_t __QADD(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB for M3 and M0 processors
+   */
+  static __INLINE int32_t __QSUB(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined SMLAD for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMLAD(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLADX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMLADX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLSDX for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMLSDX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALD for M3 and M0 processors
+   */
+  static __INLINE uint64_t __SMLALD(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALDX for M3 and M0 processors
+   */
+  static __INLINE uint64_t __SMLALDX(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUAD for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMUAD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSD for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SMUSD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SXTB16 for M3 and M0 processors
+   */
+  static __INLINE uint32_t __SXTB16(
+  uint32_t x)
+  {
+    return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+                       ((((q31_t)x <<  8) >>  8) & (q31_t)0xFFFF0000)  ));
+  }
+
+#endif /* defined (ARM_MATH_CM3) || defined (ARM_MATH_CM0_FAMILY) */
+
+
+  /**
+   * @brief Instance structure for the Q7 FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;        /**< number of filter coefficients in the filter. */
+    q7_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q7_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+  } arm_fir_instance_q7;
+
+  /**
+   * @brief Instance structure for the Q15 FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
+    q15_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q15_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+  } arm_fir_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;         /**< number of filter coefficients in the filter. */
+    q31_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q31_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps. */
+  } arm_fir_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;     /**< number of filter coefficients in the filter. */
+    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
+  } arm_fir_instance_f32;
+
+
+  /**
+   * @brief Processing function for the Q7 FIR filter.
+   * @param[in]  S          points to an instance of the Q7 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q7(
+  const arm_fir_instance_q7 * S,
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q7 FIR filter.
+   * @param[in,out] S          points to an instance of the Q7 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed.
+   */
+  void arm_fir_init_q7(
+  arm_fir_instance_q7 * S,
+  uint16_t numTaps,
+  q7_t * pCoeffs,
+  q7_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR filter.
+   * @param[in]  S          points to an instance of the Q15 FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 FIR filter.
+   * @param[in,out] S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if
+   * <code>numTaps</code> is not a supported value.
+   */
+  arm_status arm_fir_init_q15(
+  arm_fir_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR filter.
+   * @param[in]  S          points to an instance of the Q31 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q31 FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 FIR filter.
+   * @param[in,out] S          points to an instance of the Q31 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   */
+  void arm_fir_init_q31(
+  arm_fir_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point FIR filter.
+   * @param[in]  S          points to an instance of the floating-point FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_f32(
+  const arm_fir_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point FIR filter.
+   * @param[in,out] S          points to an instance of the floating-point FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   */
+  void arm_fir_init_f32(
+  arm_fir_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 Biquad cascade filter.
+   */
+  typedef struct
+  {
+    int8_t numStages;        /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    q15_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    q15_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+    int8_t postShift;        /**< Additional shift, in bits, applied to each output sample. */
+  } arm_biquad_casd_df1_inst_q15;
+
+  /**
+   * @brief Instance structure for the Q31 Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+    uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */
+  } arm_biquad_casd_df1_inst_q31;
+
+  /**
+   * @brief Instance structure for the floating-point Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float32_t *pState;       /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    float32_t *pCoeffs;      /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_casd_df1_inst_f32;
+
+
+  /**
+   * @brief Processing function for the Q15 Biquad cascade filter.
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cascade_df1_init_q15(
+  arm_biquad_casd_df1_inst_q15 * S,
+  uint8_t numStages,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  int8_t postShift);
+
+
+  /**
+   * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 Biquad cascade filter
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cascade_df1_init_q31(
+  arm_biquad_casd_df1_inst_q31 * S,
+  uint8_t numStages,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  int8_t postShift);
+
+
+  /**
+   * @brief Processing function for the floating-point Biquad cascade filter.
+   * @param[in]  S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df1_init_f32(
+  arm_biquad_casd_df1_inst_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState);
+
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float32_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f32;
+
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float64_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f64;
+
+  /**
+   * @brief Instance structure for the Q15 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q15_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q31_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q31;
+
+
+  /**
+   * @brief Floating-point matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix addition.
+   * @param[in]   pSrcA  points to the first input matrix structure
+   * @param[in]   pSrcB  points to the second input matrix structure
+   * @param[out]  pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+
+  /**
+   * @brief Q31 matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15, complex,  matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pScratch);
+
+
+  /**
+   * @brief Q31, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  arm_matrix_instance_q15 * pDst);
+
+
+  /**
+   * @brief Q31 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix multiplication
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pState);
+
+
+  /**
+   * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_mult_fast_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst,
+  q15_t * pState);
+
+
+  /**
+   * @brief Q31 matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_mult_fast_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+
+  /**
+   * @brief Q31 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief Floating-point matrix scaling.
+   * @param[in]  pSrc   points to the input matrix
+   * @param[in]  scale  scale factor
+   * @param[out] pDst   points to the output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  float32_t scale,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  q15_t scaleFract,
+  int32_t shift,
+  arm_matrix_instance_q15 * pDst);
+
+
+  /**
+   * @brief Q31 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+  arm_status arm_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  q31_t scaleFract,
+  int32_t shift,
+  arm_matrix_instance_q31 * pDst);
+
+
+  /**
+   * @brief  Q31 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+  void arm_mat_init_q31(
+  arm_matrix_instance_q31 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q31_t * pData);
+
+
+  /**
+   * @brief  Q15 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+  void arm_mat_init_q15(
+  arm_matrix_instance_q15 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q15_t * pData);
+
+
+  /**
+   * @brief  Floating-point matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+  void arm_mat_init_f32(
+  arm_matrix_instance_f32 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  float32_t * pData);
+
+
+
+  /**
+   * @brief Instance structure for the Q15 PID Control.
+   */
+  typedef struct
+  {
+    q15_t A0;           /**< The derived gain, A0 = Kp + Ki + Kd . */
+#ifdef ARM_MATH_CM0_FAMILY
+    q15_t A1;
+    q15_t A2;
+#else
+    q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
+#endif
+    q15_t state[3];     /**< The state array of length 3. */
+    q15_t Kp;           /**< The proportional gain. */
+    q15_t Ki;           /**< The integral gain. */
+    q15_t Kd;           /**< The derivative gain. */
+  } arm_pid_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 PID Control.
+   */
+  typedef struct
+  {
+    q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */
+    q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */
+    q31_t A2;            /**< The derived gain, A2 = Kd . */
+    q31_t state[3];      /**< The state array of length 3. */
+    q31_t Kp;            /**< The proportional gain. */
+    q31_t Ki;            /**< The integral gain. */
+    q31_t Kd;            /**< The derivative gain. */
+  } arm_pid_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point PID Control.
+   */
+  typedef struct
+  {
+    float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */
+    float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
+    float32_t A2;          /**< The derived gain, A2 = Kd . */
+    float32_t state[3];    /**< The state array of length 3. */
+    float32_t Kp;          /**< The proportional gain. */
+    float32_t Ki;          /**< The integral gain. */
+    float32_t Kd;          /**< The derivative gain. */
+  } arm_pid_instance_f32;
+
+
+
+  /**
+   * @brief  Initialization function for the floating-point PID Control.
+   * @param[in,out] S               points to an instance of the PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_f32(
+  arm_pid_instance_f32 * S,
+  int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the floating-point PID Control.
+   * @param[in,out] S  is an instance of the floating-point PID Control structure
+   */
+  void arm_pid_reset_f32(
+  arm_pid_instance_f32 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q31 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q31(
+  arm_pid_instance_q31 * S,
+  int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q31 PID Control.
+   * @param[in,out] S   points to an instance of the Q31 PID Control structure
+   */
+
+  void arm_pid_reset_q31(
+  arm_pid_instance_q31 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q15 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q15(
+  arm_pid_instance_q15 * S,
+  int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q15 PID Control.
+   * @param[in,out] S  points to an instance of the q15 PID Control structure
+   */
+  void arm_pid_reset_q15(
+  arm_pid_instance_q15 * S);
+
+
+  /**
+   * @brief Instance structure for the floating-point Linear Interpolate function.
+   */
+  typedef struct
+  {
+    uint32_t nValues;           /**< nValues */
+    float32_t x1;               /**< x1 */
+    float32_t xSpacing;         /**< xSpacing */
+    float32_t *pYData;          /**< pointer to the table of Y values */
+  } arm_linear_interp_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point bilinear interpolation function.
+   */
+  typedef struct
+  {
+    uint16_t numRows;   /**< number of rows in the data table. */
+    uint16_t numCols;   /**< number of columns in the data table. */
+    float32_t *pData;   /**< points to the data table. */
+  } arm_bilinear_interp_instance_f32;
+
+   /**
+   * @brief Instance structure for the Q31 bilinear interpolation function.
+   */
+  typedef struct
+  {
+    uint16_t numRows;   /**< number of rows in the data table. */
+    uint16_t numCols;   /**< number of columns in the data table. */
+    q31_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q31;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+    uint16_t numRows;   /**< number of rows in the data table. */
+    uint16_t numCols;   /**< number of columns in the data table. */
+    q15_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q15;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+    uint16_t numRows;   /**< number of rows in the data table. */
+    uint16_t numCols;   /**< number of columns in the data table. */
+    q7_t *pData;        /**< points to the data table. */
+  } arm_bilinear_interp_instance_q7;
+
+
+  /**
+   * @brief Q7 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                 /**< length of the FFT. */
+    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    q15_t *pTwiddle;                 /**< points to the Sin twiddle factor table. */
+    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q15(
+  arm_cfft_radix2_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q15(
+  const arm_cfft_radix2_instance_q15 * S,
+  q15_t * pSrc);
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                 /**< length of the FFT. */
+    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    q15_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q15(
+  arm_cfft_radix4_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_q15(
+  const arm_cfft_radix4_instance_q15 * S,
+  q15_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                 /**< length of the FFT. */
+    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    q31_t *pTwiddle;                 /**< points to the Twiddle factor table. */
+    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q31(
+  arm_cfft_radix2_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q31(
+  const arm_cfft_radix2_instance_q31 * S,
+  q31_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                 /**< length of the FFT. */
+    uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    q31_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+  void arm_cfft_radix4_q31(
+  const arm_cfft_radix4_instance_q31 * S,
+  q31_t * pSrc);
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q31(
+  arm_cfft_radix4_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+    float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix2_instance_f32;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_f32(
+  arm_cfft_radix2_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_f32(
+  const arm_cfft_radix2_instance_f32 * S,
+  float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+    uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+    uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+    float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix4_instance_f32;
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_f32(
+  arm_cfft_radix4_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_f32(
+  const arm_cfft_radix4_instance_f32 * S,
+  float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+    uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q15;
+
+void arm_cfft_q15(
+    const arm_cfft_instance_q15 * S,
+    q15_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+    uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q31;
+
+void arm_cfft_q31(
+    const arm_cfft_instance_q31 * S,
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+    uint16_t fftLen;                   /**< length of the FFT. */
+    const float32_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+    uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_f32;
+
+  void arm_cfft_f32(
+  const arm_cfft_instance_f32 * S,
+  float32_t * p1,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the Q15 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+    uint32_t fftLenReal;                      /**< length of the real FFT. */
+    uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+    uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+    uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
+    q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
+    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */
+  } arm_rfft_instance_q15;
+
+  arm_status arm_rfft_init_q15(
+  arm_rfft_instance_q15 * S,
+  uint32_t fftLenReal,
+  uint32_t ifftFlagR,
+  uint32_t bitReverseFlag);
+
+  void arm_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst);
+
+  /**
+   * @brief Instance structure for the Q31 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+    uint32_t fftLenReal;                        /**< length of the real FFT. */
+    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+    uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
+    q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
+    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */
+  } arm_rfft_instance_q31;
+
+  arm_status arm_rfft_init_q31(
+  arm_rfft_instance_q31 * S,
+  uint32_t fftLenReal,
+  uint32_t ifftFlagR,
+  uint32_t bitReverseFlag);
+
+  void arm_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+    uint32_t fftLenReal;                        /**< length of the real FFT. */
+    uint16_t fftLenBy2;                         /**< length of the complex FFT. */
+    uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+    uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+    uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */
+    float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */
+    arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */
+  } arm_rfft_instance_f32;
+
+  arm_status arm_rfft_init_f32(
+  arm_rfft_instance_f32 * S,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint32_t fftLenReal,
+  uint32_t ifftFlagR,
+  uint32_t bitReverseFlag);
+
+  void arm_rfft_f32(
+  const arm_rfft_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+    arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */
+    uint16_t fftLenRFFT;             /**< length of the real sequence */
+    float32_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+   arm_rfft_fast_instance_f32 * S,
+   uint16_t fftLen);
+
+void arm_rfft_fast_f32(
+  arm_rfft_fast_instance_f32 * S,
+  float32_t * p, float32_t * pOut,
+  uint8_t ifftFlag);
+
+  /**
+   * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    float32_t normalize;                 /**< normalizing factor. */
+    float32_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    float32_t *pCosFactor;               /**< points to the cosFactor table. */
+    arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
+    arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_f32;
+
+
+  /**
+   * @brief  Initialization function for the floating-point DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_f32(
+  arm_dct4_instance_f32 * S,
+  arm_rfft_instance_f32 * S_RFFT,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  float32_t normalize);
+
+
+  /**
+   * @brief Processing function for the floating-point DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the floating-point DCT4/IDCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+  float32_t * pState,
+  float32_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    q31_t normalize;                     /**< normalizing factor. */
+    q31_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    q31_t *pCosFactor;                   /**< points to the cosFactor table. */
+    arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
+    arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q31;
+
+
+  /**
+   * @brief  Initialization function for the Q31 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure
+   * @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q31(
+  arm_dct4_instance_q31 * S,
+  arm_rfft_instance_q31 * S_RFFT,
+  arm_cfft_radix4_instance_q31 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q31_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q31 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q31 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+  q31_t * pState,
+  q31_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+    uint16_t N;                          /**< length of the DCT4. */
+    uint16_t Nby2;                       /**< half of the length of the DCT4. */
+    q15_t normalize;                     /**< normalizing factor. */
+    q15_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    q15_t *pCosFactor;                   /**< points to the cosFactor table. */
+    arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
+    arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q15;
+
+
+  /**
+   * @brief  Initialization function for the Q15 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q15 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q15 RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of Q15 CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q15(
+  arm_dct4_instance_q15 * S,
+  arm_rfft_instance_q15 * S_RFFT,
+  arm_cfft_radix4_instance_q15 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q15_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q15 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q15 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+  q15_t * pState,
+  q15_t * pInlineBuffer);
+
+
+  /**
+   * @brief Floating-point vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a floating-point vector by a scalar.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_scale_f32(
+  float32_t * pSrc,
+  float32_t scale,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q7 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q7(
+  q7_t * pSrc,
+  q7_t scaleFract,
+  int8_t shift,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q15 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q15(
+  q15_t * pSrc,
+  q15_t scaleFract,
+  int8_t shift,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q31 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q31(
+  q31_t * pSrc,
+  q31_t scaleFract,
+  int8_t shift,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Dot product of floating-point vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t blockSize,
+  float32_t * result);
+
+
+  /**
+   * @brief Dot product of Q7 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  uint32_t blockSize,
+  q31_t * result);
+
+
+  /**
+   * @brief Dot product of Q15 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result);
+
+
+  /**
+   * @brief Dot product of Q31 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result);
+
+
+  /**
+   * @brief  Shifts the elements of a Q7 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q7(
+  q7_t * pSrc,
+  int8_t shiftBits,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q15 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q15(
+  q15_t * pSrc,
+  int8_t shiftBits,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q31 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q31(
+  q31_t * pSrc,
+  int8_t shiftBits,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_f32(
+  float32_t * pSrc,
+  float32_t offset,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q7(
+  q7_t * pSrc,
+  q7_t offset,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q15(
+  q15_t * pSrc,
+  q15_t offset,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q31(
+  q31_t * pSrc,
+  q31_t offset,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a floating-point vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q7 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a floating-point vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q7 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q7(
+  q7_t value,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q15 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q15(
+  q15_t value,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q31 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q31(
+  q31_t value,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+/**
+ * @brief Convolution of floating-point sequences.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
+ */
+  void arm_conv_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
+  void arm_conv_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+/**
+ * @brief Convolution of Q15 sequences.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
+ */
+  void arm_conv_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_fast_q15(
+          q15_t * pSrcA,
+          uint32_t srcALen,
+          q15_t * pSrcB,
+          uint32_t srcBLen,
+          q15_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
+  void arm_conv_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+  /**
+   * @brief Convolution of Q31 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+
+    /**
+   * @brief Convolution of Q7 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
+  void arm_conv_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+  /**
+   * @brief Convolution of Q7 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst);
+
+
+  /**
+   * @brief Partial convolution of floating-point sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+  /**
+   * @brief Partial convolution of Q31 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q7 sequences
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+/**
+   * @brief Partial convolution of Q7 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR decimator.
+   */
+  typedef struct
+  {
+    uint8_t M;                  /**< decimation factor. */
+    uint16_t numTaps;           /**< number of coefficients in the filter. */
+    q15_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+    q15_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR decimator.
+   */
+  typedef struct
+  {
+    uint8_t M;                  /**< decimation factor. */
+    uint16_t numTaps;           /**< number of coefficients in the filter. */
+    q31_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+    q31_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR decimator.
+   */
+  typedef struct
+  {
+    uint8_t M;                  /**< decimation factor. */
+    uint16_t numTaps;           /**< number of coefficients in the filter. */
+    float32_t *pCoeffs;         /**< points to the coefficient array. The array is of length numTaps.*/
+    float32_t *pState;          /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_f32;
+
+
+  /**
+   * @brief Processing function for the floating-point FIR decimator.
+   * @param[in]  S          points to an instance of the floating-point FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point FIR decimator.
+   * @param[in,out] S          points to an instance of the floating-point FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * <code>blockSize</code> is not a multiple of <code>M</code>.
+   */
+  arm_status arm_fir_decimate_init_f32(
+  arm_fir_decimate_instance_f32 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR decimator.
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 FIR decimator.
+   * @param[in,out] S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * <code>blockSize</code> is not a multiple of <code>M</code>.
+   */
+  arm_status arm_fir_decimate_init_q15(
+  arm_fir_decimate_instance_q15 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR decimator.
+   * @param[in]  S     points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc  points to the block of input data.
+   * @param[out] pDst  points to the block of output data
+   * @param[in] blockSize number of input samples to process per call.
+   */
+  void arm_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_fast_q31(
+  arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 FIR decimator.
+   * @param[in,out] S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * <code>blockSize</code> is not a multiple of <code>M</code>.
+   */
+  arm_status arm_fir_decimate_init_q31(
+  arm_fir_decimate_instance_q31 * S,
+  uint16_t numTaps,
+  uint8_t M,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR interpolator.
+   */
+  typedef struct
+  {
+    uint8_t L;                      /**< upsample factor. */
+    uint16_t phaseLength;           /**< length of each polyphase filter component. */
+    q15_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
+    q15_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+  } arm_fir_interpolate_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR interpolator.
+   */
+  typedef struct
+  {
+    uint8_t L;                      /**< upsample factor. */
+    uint16_t phaseLength;           /**< length of each polyphase filter component. */
+    q31_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
+    q31_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+  } arm_fir_interpolate_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR interpolator.
+   */
+  typedef struct
+  {
+    uint8_t L;                     /**< upsample factor. */
+    uint16_t phaseLength;          /**< length of each polyphase filter component. */
+    float32_t *pCoeffs;            /**< points to the coefficient array. The array is of length L*phaseLength. */
+    float32_t *pState;             /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+  } arm_fir_interpolate_instance_f32;
+
+
+  /**
+   * @brief Processing function for the Q15 FIR interpolator.
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 FIR interpolator.
+   * @param[in,out] S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_q15(
+  arm_fir_interpolate_instance_q15 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR interpolator.
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 FIR interpolator.
+   * @param[in,out] S          points to an instance of the Q31 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_q31(
+  arm_fir_interpolate_instance_q31 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point FIR interpolator.
+   * @param[in]  S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point FIR interpolator.
+   * @param[in,out] S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_f32(
+  arm_fir_interpolate_instance_f32 * S,
+  uint8_t L,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the high precision Q31 Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */
+    uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */
+  } arm_biquad_cas_df1_32x64_ins_q31;
+
+
+  /**
+   * @param[in]  S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @param[in,out] S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cas_df1_32x64_init_q31(
+  arm_biquad_cas_df1_32x64_ins_q31 * S,
+  uint8_t numStages,
+  q31_t * pCoeffs,
+  q63_t * pState,
+  uint8_t postShift);
+
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+    uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+    float64_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+    float64_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f64;
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f32(
+  const arm_biquad_cascade_df2T_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_stereo_df2T_f32(
+  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f64(
+  const arm_biquad_cascade_df2T_instance_f64 * S,
+  float64_t * pSrc,
+  float64_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f32(
+  arm_biquad_cascade_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_stereo_df2T_init_f32(
+  arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f64(
+  arm_biquad_cascade_df2T_instance_f64 * S,
+  uint8_t numStages,
+  float64_t * pCoeffs,
+  float64_t * pState);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of filter stages. */
+    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    q15_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of filter stages. */
+    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    q31_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of filter stages. */
+    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages. */
+    float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_f32;
+
+
+  /**
+   * @brief Initialization function for the Q15 FIR lattice filter.
+   * @param[in] S          points to an instance of the Q15 FIR lattice structure.
+   * @param[in] numStages  number of filter stages.
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages.
+   */
+  void arm_fir_lattice_init_q15(
+  arm_fir_lattice_instance_q15 * S,
+  uint16_t numStages,
+  q15_t * pCoeffs,
+  q15_t * pState);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR lattice filter.
+   * @param[in]  S          points to an instance of the Q15 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the Q31 FIR lattice filter.
+   * @param[in] S          points to an instance of the Q31 FIR lattice structure.
+   * @param[in] numStages  number of filter stages.
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.   The array is of length numStages.
+   */
+  void arm_fir_lattice_init_q31(
+  arm_fir_lattice_instance_q31 * S,
+  uint16_t numStages,
+  q31_t * pCoeffs,
+  q31_t * pState);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR lattice filter.
+   * @param[in]  S          points to an instance of the Q31 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the floating-point FIR lattice filter.
+ * @param[in] S          points to an instance of the floating-point FIR lattice structure.
+ * @param[in] numStages  number of filter stages.
+ * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+ * @param[in] pState     points to the state buffer.  The array is of length numStages.
+ */
+  void arm_fir_lattice_init_f32(
+  arm_fir_lattice_instance_f32 * S,
+  uint16_t numStages,
+  float32_t * pCoeffs,
+  float32_t * pState);
+
+
+  /**
+   * @brief Processing function for the floating-point FIR lattice filter.
+   * @param[in]  S          points to an instance of the floating-point FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 IIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    q15_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+    q15_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+    q15_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 IIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    q31_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+    q31_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+    q31_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point IIR lattice filter.
+   */
+  typedef struct
+  {
+    uint16_t numStages;                  /**< number of stages in the filter. */
+    float32_t *pState;                   /**< points to the state variable array. The array is of length numStages+blockSize. */
+    float32_t *pkCoeffs;                 /**< points to the reflection coefficient array. The array is of length numStages. */
+    float32_t *pvCoeffs;                 /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_f32;
+
+
+  /**
+   * @brief Processing function for the floating-point IIR lattice filter.
+   * @param[in]  S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the floating-point IIR lattice filter.
+   * @param[in] S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize-1.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_init_f32(
+  arm_iir_lattice_instance_f32 * S,
+  uint16_t numStages,
+  float32_t * pkCoeffs,
+  float32_t * pvCoeffs,
+  float32_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 IIR lattice filter.
+   * @param[in]  S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the Q31 IIR lattice filter.
+   * @param[in] S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_init_q31(
+  arm_iir_lattice_instance_q31 * S,
+  uint16_t numStages,
+  q31_t * pkCoeffs,
+  q31_t * pvCoeffs,
+  q31_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 IIR lattice filter.
+   * @param[in]  S          points to an instance of the Q15 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the Q15 IIR lattice filter.
+ * @param[in] S          points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] numStages  number of stages in the filter.
+ * @param[in] pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages.
+ * @param[in] pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1.
+ * @param[in] pState     points to state buffer.  The array is of length numStages+blockSize.
+ * @param[in] blockSize  number of samples to process per call.
+ */
+  void arm_iir_lattice_init_q15(
+  arm_iir_lattice_instance_q15 * S,
+  uint16_t numStages,
+  q15_t * pkCoeffs,
+  q15_t * pvCoeffs,
+  q15_t * pState,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the floating-point LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;    /**< number of coefficients in the filter. */
+    float32_t *pState;   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    float32_t *pCoeffs;  /**< points to the coefficient array. The array is of length numTaps. */
+    float32_t mu;        /**< step size that controls filter coefficient updates. */
+  } arm_lms_instance_f32;
+
+
+  /**
+   * @brief Processing function for floating-point LMS filter.
+   * @param[in]  S          points to an instance of the floating-point LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_f32(
+  const arm_lms_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for floating-point LMS filter.
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_lms_init_f32(
+  arm_lms_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  float32_t mu,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;    /**< number of coefficients in the filter. */
+    q15_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q15_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
+    q15_t mu;            /**< step size that controls filter coefficient updates. */
+    uint32_t postShift;  /**< bit shift applied to coefficients. */
+  } arm_lms_instance_q15;
+
+
+  /**
+   * @brief Initialization function for the Q15 LMS filter.
+   * @param[in] S          points to an instance of the Q15 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to the state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_init_q15(
+  arm_lms_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  q15_t mu,
+  uint32_t blockSize,
+  uint32_t postShift);
+
+
+  /**
+   * @brief Processing function for Q15 LMS filter.
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_q15(
+  const arm_lms_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q31 LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;    /**< number of coefficients in the filter. */
+    q31_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
+    q31_t mu;            /**< step size that controls filter coefficient updates. */
+    uint32_t postShift;  /**< bit shift applied to coefficients. */
+  } arm_lms_instance_q31;
+
+
+  /**
+   * @brief Processing function for Q31 LMS filter.
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_q31(
+  const arm_lms_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q31 LMS filter.
+   * @param[in] S          points to an instance of the Q31 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_init_q31(
+  arm_lms_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  q31_t mu,
+  uint32_t blockSize,
+  uint32_t postShift);
+
+
+  /**
+   * @brief Instance structure for the floating-point normalized LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;     /**< number of coefficients in the filter. */
+    float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
+    float32_t mu;         /**< step size that control filter coefficient updates. */
+    float32_t energy;     /**< saves previous frame energy. */
+    float32_t x0;         /**< saves previous input sample. */
+  } arm_lms_norm_instance_f32;
+
+
+  /**
+   * @brief Processing function for floating-point normalized LMS filter.
+   * @param[in]  S          points to an instance of the floating-point normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_f32(
+  arm_lms_norm_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for floating-point normalized LMS filter.
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_lms_norm_init_f32(
+  arm_lms_norm_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  float32_t mu,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q31 normalized LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;     /**< number of coefficients in the filter. */
+    q31_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q31_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
+    q31_t mu;             /**< step size that controls filter coefficient updates. */
+    uint8_t postShift;    /**< bit shift applied to coefficients. */
+    q31_t *recipTable;    /**< points to the reciprocal initial value table. */
+    q31_t energy;         /**< saves previous frame energy. */
+    q31_t x0;             /**< saves previous input sample. */
+  } arm_lms_norm_instance_q31;
+
+
+  /**
+   * @brief Processing function for Q31 normalized LMS filter.
+   * @param[in]  S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_q31(
+  arm_lms_norm_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q31 normalized LMS filter.
+   * @param[in] S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_norm_init_q31(
+  arm_lms_norm_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  q31_t mu,
+  uint32_t blockSize,
+  uint8_t postShift);
+
+
+  /**
+   * @brief Instance structure for the Q15 normalized LMS filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;     /**< Number of coefficients in the filter. */
+    q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
+    q15_t mu;             /**< step size that controls filter coefficient updates. */
+    uint8_t postShift;    /**< bit shift applied to coefficients. */
+    q15_t *recipTable;    /**< Points to the reciprocal initial value table. */
+    q15_t energy;         /**< saves previous frame energy. */
+    q15_t x0;             /**< saves previous input sample. */
+  } arm_lms_norm_instance_q15;
+
+
+  /**
+   * @brief Processing function for Q15 normalized LMS filter.
+   * @param[in]  S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_q15(
+  arm_lms_norm_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q15 normalized LMS filter.
+   * @param[in] S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_norm_init_q15(
+  arm_lms_norm_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  q15_t mu,
+  uint32_t blockSize,
+  uint8_t postShift);
+
+
+  /**
+   * @brief Correlation of floating-point sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst);
+
+
+   /**
+   * @brief Correlation of Q15 sequences
+   * @param[in]  pSrcA     points to the first input sequence.
+   * @param[in]  srcALen   length of the first input sequence.
+   * @param[in]  pSrcB     points to the second input sequence.
+   * @param[in]  srcBLen   length of the second input sequence.
+   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   */
+  void arm_correlate_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch);
+
+
+  /**
+   * @brief Correlation of Q15 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+
+  void arm_correlate_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+
+  /**
+   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+
+  void arm_correlate_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+
+  /**
+   * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
+   * @param[in]  pSrcA     points to the first input sequence.
+   * @param[in]  srcALen   length of the first input sequence.
+   * @param[in]  pSrcB     points to the second input sequence.
+   * @param[in]  srcBLen   length of the second input sequence.
+   * @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   */
+  void arm_correlate_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch);
+
+
+  /**
+   * @brief Correlation of Q31 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+
+  /**
+   * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+
+ /**
+   * @brief Correlation of Q7 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
+  void arm_correlate_opt_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+
+  /**
+   * @brief Correlation of Q7 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst);
+
+
+  /**
+   * @brief Instance structure for the floating-point sparse FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;             /**< number of coefficients in the filter. */
+    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+    float32_t *pState;            /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    float32_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_f32;
+
+  /**
+   * @brief Instance structure for the Q31 sparse FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;             /**< number of coefficients in the filter. */
+    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+    q31_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    q31_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
+    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q31;
+
+  /**
+   * @brief Instance structure for the Q15 sparse FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;             /**< number of coefficients in the filter. */
+    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+    q15_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    q15_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
+    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q7 sparse FIR filter.
+   */
+  typedef struct
+  {
+    uint16_t numTaps;             /**< number of coefficients in the filter. */
+    uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+    q7_t *pState;                 /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    q7_t *pCoeffs;                /**< points to the coefficient array. The array is of length numTaps.*/
+    uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+    int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q7;
+
+
+  /**
+   * @brief Processing function for the floating-point sparse FIR filter.
+   * @param[in]  S           points to an instance of the floating-point sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize   number of input samples to process per call.
+   */
+  void arm_fir_sparse_f32(
+  arm_fir_sparse_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  float32_t * pScratchIn,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point sparse FIR filter.
+   * @param[in,out] S          points to an instance of the floating-point sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_f32(
+  arm_fir_sparse_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 sparse FIR filter.
+   * @param[in]  S           points to an instance of the Q31 sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize   number of input samples to process per call.
+   */
+  void arm_fir_sparse_q31(
+  arm_fir_sparse_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  q31_t * pScratchIn,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q31 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q31(
+  arm_fir_sparse_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 sparse FIR filter.
+   * @param[in]  S            points to an instance of the Q15 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize    number of input samples to process per call.
+   */
+  void arm_fir_sparse_q15(
+  arm_fir_sparse_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  q15_t * pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q15 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q15(
+  arm_fir_sparse_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q7 sparse FIR filter.
+   * @param[in]  S            points to an instance of the Q7 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize    number of input samples to process per call.
+   */
+  void arm_fir_sparse_q7(
+  arm_fir_sparse_instance_q7 * S,
+  q7_t * pSrc,
+  q7_t * pDst,
+  q7_t * pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q7 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q7 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q7(
+  arm_fir_sparse_instance_q7 * S,
+  uint16_t numTaps,
+  q7_t * pCoeffs,
+  q7_t * pState,
+  int32_t * pTapDelay,
+  uint16_t maxDelay,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Floating-point sin_cos function.
+   * @param[in]  theta   input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cos output.
+   */
+  void arm_sin_cos_f32(
+  float32_t theta,
+  float32_t * pSinVal,
+  float32_t * pCosVal);
+
+
+  /**
+   * @brief  Q31 sin_cos function.
+   * @param[in]  theta    scaled input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cosine output.
+   */
+  void arm_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal);
+
+
+  /**
+   * @brief  Floating-point complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+  /**
+   * @brief  Q31 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+
+ /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup PID PID Motor Control
+   *
+   * A Proportional Integral Derivative (PID) controller is a generic feedback control
+   * loop mechanism widely used in industrial control systems.
+   * A PID controller is the most commonly used type of feedback controller.
+   *
+   * This set of functions implements (PID) controllers
+   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample
+   * of data and each call to the function returns a single processed value.
+   * <code>S</code> points to an instance of the PID control data structure.  <code>in</code>
+   * is the input sample value. The functions return the output value.
+   *
+   * \par Algorithm:
+   * <pre>
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd  </pre>
+   *
+   * \par
+   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
+   *
+   * \par
+   * \image html PID.gif "Proportional Integral Derivative Controller"
+   *
+   * \par
+   * The PID controller calculates an "error" value as the difference between
+   * the measured output and the reference input.
+   * The controller attempts to minimize the error by adjusting the process control inputs.
+   * The proportional value determines the reaction to the current error,
+   * the integral value determines the reaction based on the sum of recent errors,
+   * and the derivative value determines the reaction based on the rate at which the error has been changing.
+   *
+   * \par Instance Structure
+   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.
+   * A separate instance structure must be defined for each PID Controller.
+   * There are separate instance structure declarations for each of the 3 supported data types.
+   *
+   * \par Reset Functions
+   * There is also an associated reset function for each data type which clears the state array.
+   *
+   * \par Initialization Functions
+   * There is also an associated initialization function for each data type.
+   * The initialization function performs the following operations:
+   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
+   * - Zeros out the values in the state buffer.
+   *
+   * \par
+   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+   *
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the fixed-point versions of the PID Controller functions.
+   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup PID
+   * @{
+   */
+
+  /**
+   * @brief  Process function for the floating-point PID Control.
+   * @param[in,out] S   is an instance of the floating-point PID Control structure
+   * @param[in]     in  input sample to process
+   * @return out processed output sample.
+   */
+  static __INLINE float32_t arm_pid_f32(
+  arm_pid_instance_f32 * S,
+  float32_t in)
+  {
+    float32_t out;
+
+    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
+    out = (S->A0 * in) +
+      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+
+  }
+
+  /**
+   * @brief  Process function for the Q31 PID Control.
+   * @param[in,out] S  points to an instance of the Q31 PID Control structure
+   * @param[in]     in  input sample to process
+   * @return out processed output sample.
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using an internal 64-bit accumulator.
+   * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+   * Thus, if the accumulator result overflows it wraps around rather than clip.
+   * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
+   * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+   */
+  static __INLINE q31_t arm_pid_q31(
+  arm_pid_instance_q31 * S,
+  q31_t in)
+  {
+    q63_t acc;
+    q31_t out;
+
+    /* acc = A0 * x[n]  */
+    acc = (q63_t) S->A0 * in;
+
+    /* acc += A1 * x[n-1] */
+    acc += (q63_t) S->A1 * S->state[0];
+
+    /* acc += A2 * x[n-2]  */
+    acc += (q63_t) S->A2 * S->state[1];
+
+    /* convert output to 1.31 format to add y[n-1] */
+    out = (q31_t) (acc >> 31u);
+
+    /* out += y[n-1] */
+    out += S->state[2];
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+
+  /**
+   * @brief  Process function for the Q15 PID Control.
+   * @param[in,out] S   points to an instance of the Q15 PID Control structure
+   * @param[in]     in  input sample to process
+   * @return out processed output sample.
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using a 64-bit internal accumulator.
+   * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+   * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+   * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+   * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+   * Lastly, the accumulator is saturated to yield a result in 1.15 format.
+   */
+  static __INLINE q15_t arm_pid_q15(
+  arm_pid_instance_q15 * S,
+  q15_t in)
+  {
+    q63_t acc;
+    q15_t out;
+
+#ifndef ARM_MATH_CM0_FAMILY
+    __SIMD32_TYPE *vstate;
+
+    /* Implementation of PID controller */
+
+    /* acc = A0 * x[n]  */
+    acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    vstate = __SIMD32_CONST(S->state);
+    acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)*vstate, (uint64_t)acc);
+#else
+    /* acc = A0 * x[n]  */
+    acc = ((q31_t) S->A0) * in;
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    acc += (q31_t) S->A1 * S->state[0];
+    acc += (q31_t) S->A2 * S->state[1];
+#endif
+
+    /* acc += y[n-1] */
+    acc += (q31_t) S->state[2] << 15;
+
+    /* saturate the output */
+    out = (q15_t) (__SSAT((acc >> 15), 16));
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+  /**
+   * @} end of PID group
+   */
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * src,
+  arm_matrix_instance_f32 * dst);
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * dst);
+
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup clarke Vector Clarke Transform
+   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
+   * Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents
+   * in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.
+   * When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below
+   * \image html clarke.gif Stator current space vector and its components in (a,b).
+   * and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>
+   * can be calculated using only <code>Ia</code> and <code>Ib</code>.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeFormula.gif
+   * where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and
+   * <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup clarke
+   * @{
+   */
+
+  /**
+   *
+   * @brief  Floating-point Clarke transform
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   */
+  static __INLINE void arm_clarke_f32(
+  float32_t Ia,
+  float32_t Ib,
+  float32_t * pIalpha,
+  float32_t * pIbeta)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+    *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
+  }
+
+
+  /**
+   * @brief  Clarke transform for Q31 version
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using an internal 32-bit accumulator.
+   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+   * There is saturation on the addition, hence there is no risk of overflow.
+   */
+  static __INLINE void arm_clarke_q31(
+  q31_t Ia,
+  q31_t Ib,
+  q31_t * pIalpha,
+  q31_t * pIbeta)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+    /* pIbeta is calculated by adding the intermediate products */
+    *pIbeta = __QADD(product1, product2);
+  }
+
+  /**
+   * @} end of clarke group
+   */
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q31(
+  q7_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_clarke Vector Inverse Clarke Transform
+   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeInvFormula.gif
+   * where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and
+   * <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_clarke
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Clarke transform
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
+   */
+  static __INLINE void arm_inv_clarke_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pIa,
+  float32_t * pIb)
+  {
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+    *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+  }
+
+
+  /**
+   * @brief  Inverse Clarke transform for Q31 version
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using an internal 32-bit accumulator.
+   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+   * There is saturation on the subtraction, hence there is no risk of overflow.
+   */
+  static __INLINE void arm_inv_clarke_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pIa,
+  q31_t * pIb)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+    /* pIb is calculated by subtracting the products */
+    *pIb = __QSUB(product2, product1);
+  }
+
+  /**
+   * @} end of inv_clarke group
+   */
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q15(
+  q7_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup park Vector Park Transform
+   *
+   * Forward Park transform converts the input two-coordinate vector to flux and torque components.
+   * The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents
+   * from the stationary to the moving reference frame and control the spatial relationship between
+   * the stator vector current and rotor flux vector.
+   * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+   * current vector and the relationship from the two reference frames:
+   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkFormula.gif
+   * where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,
+   * <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup park
+   * @{
+   */
+
+  /**
+   * @brief Floating-point Park transform
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output   rotor reference frame d
+   * @param[out] pIq     points to output   rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
+   *
+   * The function implements the forward Park transform.
+   *
+   */
+  static __INLINE void arm_park_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pId,
+  float32_t * pIq,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+    *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+    *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+  }
+
+
+  /**
+   * @brief  Park transform for Q31 version
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output rotor reference frame d
+   * @param[out] pIq     points to output rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using an internal 32-bit accumulator.
+   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+   * There is saturation on the addition and subtraction, hence there is no risk of overflow.
+   */
+  static __INLINE void arm_park_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pId,
+  q31_t * pIq,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Ialpha * cosVal) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * sinVal) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Ialpha * sinVal) */
+    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * cosVal) */
+    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+    /* Calculate pId by adding the two intermediate products 1 and 2 */
+    *pId = __QADD(product1, product2);
+
+    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+    *pIq = __QSUB(product4, product3);
+  }
+
+  /**
+   * @} end of park group
+   */
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q7_to_float(
+  q7_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_park Vector Inverse Park transform
+   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkInvFormula.gif
+   * where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,
+   * <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_park
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Park transform
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
+   */
+  static __INLINE void arm_inv_park_f32(
+  float32_t Id,
+  float32_t Iq,
+  float32_t * pIalpha,
+  float32_t * pIbeta,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+    *pIalpha = Id * cosVal - Iq * sinVal;
+
+    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+    *pIbeta = Id * sinVal + Iq * cosVal;
+  }
+
+
+  /**
+   * @brief  Inverse Park transform for   Q31 version
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
+   *
+   * <b>Scaling and Overflow Behavior:</b>
+   * \par
+   * The function is implemented using an internal 32-bit accumulator.
+   * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+   * There is saturation on the addition, hence there is no risk of overflow.
+   */
+  static __INLINE void arm_inv_park_q31(
+  q31_t Id,
+  q31_t Iq,
+  q31_t * pIalpha,
+  q31_t * pIbeta,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Id * cosVal) */
+    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * sinVal) */
+    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Id * sinVal) */
+    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * cosVal) */
+    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+    /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+    *pIalpha = __QSUB(product1, product2);
+
+    /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+    *pIbeta = __QADD(product4, product3);
+  }
+
+  /**
+   * @} end of Inverse park group
+   */
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_float(
+  q31_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+  /**
+   * @defgroup LinearInterpolate Linear Interpolation
+   *
+   * Linear interpolation is a method of curve fitting using linear polynomials.
+   * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
+   *
+   * \par
+   * \image html LinearInterp.gif "Linear interpolation"
+   *
+   * \par
+   * A  Linear Interpolate function calculates an output value(y), for the input(x)
+   * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
+   *
+   * \par Algorithm:
+   * <pre>
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   * </pre>
+   *
+   * \par
+   * This set of functions implements Linear interpolation process
+   * for Q7, Q15, Q31, and floating-point data types.  The functions operate on a single
+   * sample of data and each call to the function returns a single processed value.
+   * <code>S</code> points to an instance of the Linear Interpolate function data structure.
+   * <code>x</code> is the input sample value. The functions returns the output value.
+   *
+   * \par
+   * if x is outside of the table boundary, Linear interpolation returns first value of the table
+   * if x is below input range and returns last value of table if x is above range.
+   */
+
+  /**
+   * @addtogroup LinearInterpolate
+   * @{
+   */
+
+  /**
+   * @brief  Process function for the floating-point Linear Interpolation Function.
+   * @param[in,out] S  is an instance of the floating-point Linear Interpolation structure
+   * @param[in]     x  input sample to process
+   * @return y processed output sample.
+   *
+   */
+  static __INLINE float32_t arm_linear_interp_f32(
+  arm_linear_interp_instance_f32 * S,
+  float32_t x)
+  {
+    float32_t y;
+    float32_t x0, x1;                            /* Nearest input values */
+    float32_t y0, y1;                            /* Nearest output values */
+    float32_t xSpacing = S->xSpacing;            /* spacing between input values */
+    int32_t i;                                   /* Index variable */
+    float32_t *pYData = S->pYData;               /* pointer to output table */
+
+    /* Calculation of index */
+    i = (int32_t) ((x - S->x1) / xSpacing);
+
+    if(i < 0)
+    {
+      /* Iniatilize output for below specified range as least output value of table */
+      y = pYData[0];
+    }
+    else if((uint32_t)i >= S->nValues)
+    {
+      /* Iniatilize output for above specified range as last output value of table */
+      y = pYData[S->nValues - 1];
+    }
+    else
+    {
+      /* Calculation of nearest input values */
+      x0 = S->x1 +  i      * xSpacing;
+      x1 = S->x1 + (i + 1) * xSpacing;
+
+      /* Read of nearest output values */
+      y0 = pYData[i];
+      y1 = pYData[i + 1];
+
+      /* Calculation of output */
+      y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
+
+    }
+
+    /* returns output value */
+    return (y);
+  }
+
+
+   /**
+   *
+   * @brief  Process function for the Q31 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q31 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  static __INLINE q31_t arm_linear_interp_q31(
+  q31_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q31_t y;                                     /* output */
+    q31_t y0, y1;                                /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    int32_t index;                               /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    index = ((x & (q31_t)0xFFF00000) >> 20);
+
+    if(index >= (int32_t)(nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else if(index < 0)
+    {
+      return (pYData[0]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* shift left by 11 to keep fract in 1.31 format */
+      fract = (x & 0x000FFFFF) << 11;
+
+      /* Read two nearest output values from the index in 1.31(q31) format */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract) and y is in 2.30 format */
+      y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
+
+      /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
+      y += ((q31_t) (((q63_t) y1 * fract) >> 32));
+
+      /* Convert y to 1.31 format */
+      return (y << 1u);
+    }
+  }
+
+
+  /**
+   *
+   * @brief  Process function for the Q15 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q15 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  static __INLINE q15_t arm_linear_interp_q15(
+  q15_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q63_t y;                                     /* output */
+    q15_t y0, y1;                                /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    int32_t index;                               /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    index = ((x & (int32_t)0xFFF00000) >> 20);
+
+    if(index >= (int32_t)(nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else if(index < 0)
+    {
+      return (pYData[0]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* fract is in 12.20 format */
+      fract = (x & 0x000FFFFF);
+
+      /* Read two nearest output values from the index */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract) and y is in 13.35 format */
+      y = ((q63_t) y0 * (0xFFFFF - fract));
+
+      /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
+      y += ((q63_t) y1 * (fract));
+
+      /* convert y to 1.15 format */
+      return (q15_t) (y >> 20);
+    }
+  }
+
+
+  /**
+   *
+   * @brief  Process function for the Q7 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q7 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   */
+  static __INLINE q7_t arm_linear_interp_q7(
+  q7_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q31_t y;                                     /* output */
+    q7_t y0, y1;                                 /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    uint32_t index;                              /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    if (x < 0)
+    {
+      return (pYData[0]);
+    }
+    index = (x >> 20) & 0xfff;
+
+    if(index >= (nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* fract is in 12.20 format */
+      fract = (x & 0x000FFFFF);
+
+      /* Read two nearest output values from the index and are in 1.7(q7) format */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
+      y = ((y0 * (0xFFFFF - fract)));
+
+      /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
+      y += (y1 * fract);
+
+      /* convert y to 1.7(q7) format */
+      return (q7_t) (y >> 20);
+     }
+  }
+
+  /**
+   * @} end of LinearInterpolate group
+   */
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  sin(x).
+   */
+  float32_t arm_sin_f32(
+  float32_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q31_t arm_sin_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q15_t arm_sin_q15(
+  q15_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  cos(x).
+   */
+  float32_t arm_cos_f32(
+  float32_t x);
+
+
+  /**
+   * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q31_t arm_cos_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q15_t arm_cos_q15(
+  q15_t x);
+
+
+  /**
+   * @ingroup groupFastMath
+   */
+
+
+  /**
+   * @defgroup SQRT Square Root
+   *
+   * Computes the square root of a number.
+   * There are separate functions for Q15, Q31, and floating-point data types.
+   * The square root function is computed using the Newton-Raphson algorithm.
+   * This is an iterative algorithm of the form:
+   * <pre>
+   *      x1 = x0 - f(x0)/f'(x0)
+   * </pre>
+   * where <code>x1</code> is the current estimate,
+   * <code>x0</code> is the previous estimate, and
+   * <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.
+   * For the square root function, the algorithm reduces to:
+   * <pre>
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   * </pre>
+   */
+
+
+  /**
+   * @addtogroup SQRT
+   * @{
+   */
+
+  /**
+   * @brief  Floating-point square root function.
+   * @param[in]  in    input value.
+   * @param[out] pOut  square root of input value.
+   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+   * <code>in</code> is negative value and returns zero output for negative values.
+   */
+  static __INLINE arm_status arm_sqrt_f32(
+  float32_t in,
+  float32_t * pOut)
+  {
+    if(in >= 0.0f)
+    {
+
+#if   (__FPU_USED == 1) && defined ( __CC_ARM   )
+      *pOut = __sqrtf(in);
+#elif (__FPU_USED == 1) && (defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050))
+      *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined(__GNUC__)
+      *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined ( __ICCARM__ ) && (__VER__ >= 6040000)
+      __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));
+#else
+      *pOut = sqrtf(in);
+#endif
+
+      return (ARM_MATH_SUCCESS);
+    }
+    else
+    {
+      *pOut = 0.0f;
+      return (ARM_MATH_ARGUMENT_ERROR);
+    }
+  }
+
+
+  /**
+   * @brief Q31 square root function.
+   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
+   * @param[out] pOut  square root of input value.
+   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+   * <code>in</code> is negative value and returns zero output for negative values.
+   */
+  arm_status arm_sqrt_q31(
+  q31_t in,
+  q31_t * pOut);
+
+
+  /**
+   * @brief  Q15 square root function.
+   * @param[in]  in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
+   * @param[out] pOut  square root of input value.
+   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+   * <code>in</code> is negative value and returns zero output for negative values.
+   */
+  arm_status arm_sqrt_q15(
+  q15_t in,
+  q15_t * pOut);
+
+  /**
+   * @} end of SQRT group
+   */
+
+
+  /**
+   * @brief floating-point Circular write function.
+   */
+  static __INLINE void arm_circularWrite_f32(
+  int32_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const int32_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0u;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if(wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+
+  /**
+   * @brief floating-point Circular Read function.
+   */
+  static __INLINE void arm_circularRead_f32(
+  int32_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  int32_t * dst,
+  int32_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0u;
+    int32_t rOffset, dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+    dst_end = (int32_t) (dst_base + dst_length);
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if(dst == (int32_t *) dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update rOffset.  Watch out for positive and negative value  */
+      rOffset += bufferInc;
+
+      if(rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief Q15 Circular write function.
+   */
+  static __INLINE void arm_circularWrite_q15(
+  q15_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const q15_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0u;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if(wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+  /**
+   * @brief Q15 Circular Read function.
+   */
+  static __INLINE void arm_circularRead_q15(
+  q15_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  q15_t * dst,
+  q15_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0;
+    int32_t rOffset, dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+
+    dst_end = (int32_t) (dst_base + dst_length);
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if(dst == (q15_t *) dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      rOffset += bufferInc;
+
+      if(rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief Q7 Circular write function.
+   */
+  static __INLINE void arm_circularWrite_q7(
+  q7_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const q7_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0u;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if(wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+  /**
+   * @brief Q7 Circular Read function.
+   */
+  static __INLINE void arm_circularRead_q7(
+  q7_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  q7_t * dst,
+  q7_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0;
+    int32_t rOffset, dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+
+    dst_end = (int32_t) (dst_base + dst_length);
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while(i > 0u)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if(dst == (q7_t *) dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update rOffset.  Watch out for positive and negative value */
+      rOffset += bufferInc;
+
+      if(rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+
+  /**
+   * @brief  Floating-point complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t numSamples,
+  q31_t * realResult,
+  q31_t * imagResult);
+
+
+  /**
+   * @brief  Q31 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t numSamples,
+  q63_t * realResult,
+  q63_t * imagResult);
+
+
+  /**
+   * @brief  Floating-point complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t numSamples,
+  float32_t * realResult,
+  float32_t * imagResult);
+
+
+  /**
+   * @brief  Q15 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q15(
+  q15_t * pSrcCmplx,
+  q15_t * pSrcReal,
+  q15_t * pCmplxDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q31(
+  q31_t * pSrcCmplx,
+  q31_t * pSrcReal,
+  q31_t * pCmplxDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_f32(
+  float32_t * pSrcCmplx,
+  float32_t * pSrcReal,
+  float32_t * pCmplxDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Minimum value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   * @param[in]  index      is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * result,
+  uint32_t * index);
+
+
+  /**
+   * @brief  Minimum value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex);
+
+
+  /**
+   * @brief  Minimum value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex);
+
+
+  /**
+   * @brief  Minimum value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex);
+
+
+  /**
+   * @brief  Q15 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q31 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q31(
+  float32_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q15 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q15 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q15(
+  float32_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q7 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q7 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q7(
+  float32_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q15(
+  q31_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q7(
+  q31_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_float(
+  q15_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q31(
+  q15_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q7(
+  q15_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+  /**
+   * @defgroup BilinearInterpolate Bilinear Interpolation
+   *
+   * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
+   * The underlying function <code>f(x, y)</code> is sampled on a regular grid and the interpolation process
+   * determines values between the grid points.
+   * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+   * Bilinear interpolation is often used in image processing to rescale images.
+   * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+   *
+   * <b>Algorithm</b>
+   * \par
+   * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+   * For floating-point, the instance structure is defined as:
+   * <pre>
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   * </pre>
+   *
+   * \par
+   * where <code>numRows</code> specifies the number of rows in the table;
+   * <code>numCols</code> specifies the number of columns in the table;
+   * and <code>pData</code> points to an array of size <code>numRows*numCols</code> values.
+   * The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes.
+   * That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.
+   *
+   * \par
+   * Let <code>(x, y)</code> specify the desired interpolation point.  Then define:
+   * <pre>
+   *     XF = floor(x)
+   *     YF = floor(y)
+   * </pre>
+   * \par
+   * The interpolated output point is computed as:
+   * <pre>
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   * </pre>
+   * Note that the coordinates (x, y) contain integer and fractional components.
+   * The integer components specify which portion of the table to use while the
+   * fractional components control the interpolation processor.
+   *
+   * \par
+   * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output.
+   */
+
+  /**
+   * @addtogroup BilinearInterpolate
+   * @{
+   */
+
+
+  /**
+  *
+  * @brief  Floating-point bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate.
+  * @param[in]     Y  interpolation coordinate.
+  * @return out interpolated value.
+  */
+  static __INLINE float32_t arm_bilinear_interp_f32(
+  const arm_bilinear_interp_instance_f32 * S,
+  float32_t X,
+  float32_t Y)
+  {
+    float32_t out;
+    float32_t f00, f01, f10, f11;
+    float32_t *pData = S->pData;
+    int32_t xIndex, yIndex, index;
+    float32_t xdiff, ydiff;
+    float32_t b1, b2, b3, b4;
+
+    xIndex = (int32_t) X;
+    yIndex = (int32_t) Y;
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if(xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0 || yIndex > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* Calculation of index for two nearest points in X-direction */
+    index = (xIndex - 1) + (yIndex - 1) * S->numCols;
+
+
+    /* Read two nearest points in X-direction */
+    f00 = pData[index];
+    f01 = pData[index + 1];
+
+    /* Calculation of index for two nearest points in Y-direction */
+    index = (xIndex - 1) + (yIndex) * S->numCols;
+
+
+    /* Read two nearest points in Y-direction */
+    f10 = pData[index];
+    f11 = pData[index + 1];
+
+    /* Calculation of intermediate values */
+    b1 = f00;
+    b2 = f01 - f00;
+    b3 = f10 - f00;
+    b4 = f00 - f01 - f10 + f11;
+
+    /* Calculation of fractional part in X */
+    xdiff = X - xIndex;
+
+    /* Calculation of fractional part in Y */
+    ydiff = Y - yIndex;
+
+    /* Calculation of bi-linear interpolated output */
+    out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff;
+
+    /* return to application */
+    return (out);
+  }
+
+
+  /**
+  *
+  * @brief  Q31 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  static __INLINE q31_t arm_bilinear_interp_q31(
+  arm_bilinear_interp_instance_q31 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q31_t out;                                   /* Temporary output */
+    q31_t acc = 0;                               /* output */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    q31_t x1, x2, y1, y2;                        /* Nearest output values */
+    int32_t rI, cI;                              /* Row and column indices */
+    q31_t *pYData = S->pData;                    /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* shift left xfract by 11 to keep 1.31 format */
+    xfract = (X & 0x000FFFFF) << 11u;
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[(rI) + (int32_t)nCols * (cI)    ];
+    x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* shift left yfract by 11 to keep 1.31 format */
+    yfract = (Y & 0x000FFFFF) << 11u;
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[(rI) + (int32_t)nCols * (cI + 1)    ];
+    y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */
+    out = ((q31_t) (((q63_t) x1  * (0x7FFFFFFF - xfract)) >> 32));
+    acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));
+
+    /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (xfract) >> 32));
+
+    /* y1 * (1 - xfract) * (yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
+
+    /* y2 * (xfract) * (yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) y2 * (xfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
+
+    /* Convert acc to 1.31(q31) format */
+    return ((q31_t)(acc << 2));
+  }
+
+
+  /**
+  * @brief  Q15 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  static __INLINE q15_t arm_bilinear_interp_q15(
+  arm_bilinear_interp_instance_q15 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q63_t acc = 0;                               /* output */
+    q31_t out;                                   /* Temporary output */
+    q15_t x1, x2, y1, y2;                        /* Nearest output values */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    int32_t rI, cI;                              /* Row and column indices */
+    q15_t *pYData = S->pData;                    /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* xfract should be in 12.20 format */
+    xfract = (X & 0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* yfract should be in 12.20 format */
+    yfract = (Y & 0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */
+
+    /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */
+    /* convert 13.35 to 13.31 by right shifting  and out is in 1.31 */
+    out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4u);
+    acc = ((q63_t) out * (0xFFFFF - yfract));
+
+    /* x2 * (xfract) * (1-yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4u);
+    acc += ((q63_t) out * (xfract));
+
+    /* y1 * (1 - xfract) * (yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4u);
+    acc += ((q63_t) out * (yfract));
+
+    /* y2 * (xfract) * (yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) y2 * (xfract)) >> 4u);
+    acc += ((q63_t) out * (yfract));
+
+    /* acc is in 13.51 format and down shift acc by 36 times */
+    /* Convert out to 1.15 format */
+    return ((q15_t)(acc >> 36));
+  }
+
+
+  /**
+  * @brief  Q7 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  static __INLINE q7_t arm_bilinear_interp_q7(
+  arm_bilinear_interp_instance_q7 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q63_t acc = 0;                               /* output */
+    q31_t out;                                   /* Temporary output */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    q7_t x1, x2, y1, y2;                         /* Nearest output values */
+    int32_t rI, cI;                              /* Row and column indices */
+    q7_t *pYData = S->pData;                     /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if(rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* xfract should be in 12.20 format */
+    xfract = (X & (q31_t)0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* yfract should be in 12.20 format */
+    yfract = (Y & (q31_t)0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
+    out = ((x1 * (0xFFFFF - xfract)));
+    acc = (((q63_t) out * (0xFFFFF - yfract)));
+
+    /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */
+    out = ((x2 * (0xFFFFF - yfract)));
+    acc += (((q63_t) out * (xfract)));
+
+    /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */
+    out = ((y1 * (0xFFFFF - xfract)));
+    acc += (((q63_t) out * (yfract)));
+
+    /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */
+    out = ((y2 * (yfract)));
+    acc += (((q63_t) out * (xfract)));
+
+    /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
+    return ((q7_t)(acc >> 40));
+  }
+
+  /**
+   * @} end of BilinearInterpolate group
+   */
+
+
+/* SMMLAR */
+#define multAcc_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMLSR */
+#define multSub_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMULR */
+#define mult_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
+
+/* SMMLA */
+#define multAcc_32x32_keep32(a, x, y) \
+    a += (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMLS */
+#define multSub_32x32_keep32(a, x, y) \
+    a -= (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMUL */
+#define mult_32x32_keep32(a, x, y) \
+    a = (q31_t) (((q63_t) x * y ) >> 32)
+
+
+#if defined ( __CC_ARM )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("push")         \
+       _Pragma ("O1")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_EXIT \
+       _Pragma ("pop")
+  #else
+    #define LOW_OPTIMIZATION_EXIT
+  #endif
+
+  /* Enter low optimization region - place directly above function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__GNUC__)
+  #define LOW_OPTIMIZATION_ENTER __attribute__(( optimize("-O1") ))
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__ICCARM__)
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define LOW_OPTIMIZATION_EXIT
+
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( ARM_MATH_CM4 ) || defined( ARM_MATH_CM7)
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__CSMC__)
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined(__TASKING__)
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#endif
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic pop
+#endif
+
+#endif /* _ARM_MATH_H */
+
+/**
+ *
+ * End of file.
+ */
diff --git a/Include/cmsis_armcc.h b/Include/cmsis_armcc.h
new file mode 100644
index 0000000..74c49c6
--- /dev/null
+++ b/Include/cmsis_armcc.h
@@ -0,0 +1,734 @@
+/**************************************************************************//**
+ * @file     cmsis_armcc.h
+ * @brief    CMSIS Cortex-M Core Function/Instruction Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#ifndef __CMSIS_ARMCC_H
+#define __CMSIS_ARMCC_H
+
+
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 400677)
+  #error "Please use ARM Compiler Toolchain V4.0.677 or later!"
+#endif
+
+/* ###########################  Core Function Access  ########################### */
+/** \ingroup  CMSIS_Core_FunctionInterface
+    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
+  @{
+ */
+
+/* intrinsic void __enable_irq();     */
+/* intrinsic void __disable_irq();    */
+
+/**
+  \brief   Get Control Register
+  \details Returns the content of the Control Register.
+  \return               Control Register value
+ */
+__STATIC_INLINE uint32_t __get_CONTROL(void)
+{
+  register uint32_t __regControl         __ASM("control");
+  return(__regControl);
+}
+
+
+/**
+  \brief   Set Control Register
+  \details Writes the given value to the Control Register.
+  \param [in]    control  Control Register value to set
+ */
+__STATIC_INLINE void __set_CONTROL(uint32_t control)
+{
+  register uint32_t __regControl         __ASM("control");
+  __regControl = control;
+}
+
+
+/**
+  \brief   Get IPSR Register
+  \details Returns the content of the IPSR Register.
+  \return               IPSR Register value
+ */
+__STATIC_INLINE uint32_t __get_IPSR(void)
+{
+  register uint32_t __regIPSR          __ASM("ipsr");
+  return(__regIPSR);
+}
+
+
+/**
+  \brief   Get APSR Register
+  \details Returns the content of the APSR Register.
+  \return               APSR Register value
+ */
+__STATIC_INLINE uint32_t __get_APSR(void)
+{
+  register uint32_t __regAPSR          __ASM("apsr");
+  return(__regAPSR);
+}
+
+
+/**
+  \brief   Get xPSR Register
+  \details Returns the content of the xPSR Register.
+  \return               xPSR Register value
+ */
+__STATIC_INLINE uint32_t __get_xPSR(void)
+{
+  register uint32_t __regXPSR          __ASM("xpsr");
+  return(__regXPSR);
+}
+
+
+/**
+  \brief   Get Process Stack Pointer
+  \details Returns the current value of the Process Stack Pointer (PSP).
+  \return               PSP Register value
+ */
+__STATIC_INLINE uint32_t __get_PSP(void)
+{
+  register uint32_t __regProcessStackPointer  __ASM("psp");
+  return(__regProcessStackPointer);
+}
+
+
+/**
+  \brief   Set Process Stack Pointer
+  \details Assigns the given value to the Process Stack Pointer (PSP).
+  \param [in]    topOfProcStack  Process Stack Pointer value to set
+ */
+__STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
+{
+  register uint32_t __regProcessStackPointer  __ASM("psp");
+  __regProcessStackPointer = topOfProcStack;
+}
+
+
+/**
+  \brief   Get Main Stack Pointer
+  \details Returns the current value of the Main Stack Pointer (MSP).
+  \return               MSP Register value
+ */
+__STATIC_INLINE uint32_t __get_MSP(void)
+{
+  register uint32_t __regMainStackPointer     __ASM("msp");
+  return(__regMainStackPointer);
+}
+
+
+/**
+  \brief   Set Main Stack Pointer
+  \details Assigns the given value to the Main Stack Pointer (MSP).
+  \param [in]    topOfMainStack  Main Stack Pointer value to set
+ */
+__STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
+{
+  register uint32_t __regMainStackPointer     __ASM("msp");
+  __regMainStackPointer = topOfMainStack;
+}
+
+
+/**
+  \brief   Get Priority Mask
+  \details Returns the current state of the priority mask bit from the Priority Mask Register.
+  \return               Priority Mask value
+ */
+__STATIC_INLINE uint32_t __get_PRIMASK(void)
+{
+  register uint32_t __regPriMask         __ASM("primask");
+  return(__regPriMask);
+}
+
+
+/**
+  \brief   Set Priority Mask
+  \details Assigns the given value to the Priority Mask Register.
+  \param [in]    priMask  Priority Mask
+ */
+__STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
+{
+  register uint32_t __regPriMask         __ASM("primask");
+  __regPriMask = (priMask);
+}
+
+
+#if       (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U)
+
+/**
+  \brief   Enable FIQ
+  \details Enables FIQ interrupts by clearing the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+#define __enable_fault_irq                __enable_fiq
+
+
+/**
+  \brief   Disable FIQ
+  \details Disables FIQ interrupts by setting the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+#define __disable_fault_irq               __disable_fiq
+
+
+/**
+  \brief   Get Base Priority
+  \details Returns the current value of the Base Priority register.
+  \return               Base Priority register value
+ */
+__STATIC_INLINE uint32_t  __get_BASEPRI(void)
+{
+  register uint32_t __regBasePri         __ASM("basepri");
+  return(__regBasePri);
+}
+
+
+/**
+  \brief   Set Base Priority
+  \details Assigns the given value to the Base Priority register.
+  \param [in]    basePri  Base Priority value to set
+ */
+__STATIC_INLINE void __set_BASEPRI(uint32_t basePri)
+{
+  register uint32_t __regBasePri         __ASM("basepri");
+  __regBasePri = (basePri & 0xFFU);
+}
+
+
+/**
+  \brief   Set Base Priority with condition
+  \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled,
+           or the new value increases the BASEPRI priority level.
+  \param [in]    basePri  Base Priority value to set
+ */
+__STATIC_INLINE void __set_BASEPRI_MAX(uint32_t basePri)
+{
+  register uint32_t __regBasePriMax      __ASM("basepri_max");
+  __regBasePriMax = (basePri & 0xFFU);
+}
+
+
+/**
+  \brief   Get Fault Mask
+  \details Returns the current value of the Fault Mask register.
+  \return               Fault Mask register value
+ */
+__STATIC_INLINE uint32_t __get_FAULTMASK(void)
+{
+  register uint32_t __regFaultMask       __ASM("faultmask");
+  return(__regFaultMask);
+}
+
+
+/**
+  \brief   Set Fault Mask
+  \details Assigns the given value to the Fault Mask register.
+  \param [in]    faultMask  Fault Mask value to set
+ */
+__STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
+{
+  register uint32_t __regFaultMask       __ASM("faultmask");
+  __regFaultMask = (faultMask & (uint32_t)1);
+}
+
+#endif /* (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U) */
+
+
+#if       (__CORTEX_M == 0x04U) || (__CORTEX_M == 0x07U)
+
+/**
+  \brief   Get FPSCR
+  \details Returns the current value of the Floating Point Status/Control register.
+  \return               Floating Point Status/Control register value
+ */
+__STATIC_INLINE uint32_t __get_FPSCR(void)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  register uint32_t __regfpscr         __ASM("fpscr");
+  return(__regfpscr);
+#else
+   return(0U);
+#endif
+}
+
+
+/**
+  \brief   Set FPSCR
+  \details Assigns the given value to the Floating Point Status/Control register.
+  \param [in]    fpscr  Floating Point Status/Control value to set
+ */
+__STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  register uint32_t __regfpscr         __ASM("fpscr");
+  __regfpscr = (fpscr);
+#endif
+}
+
+#endif /* (__CORTEX_M == 0x04U) || (__CORTEX_M == 0x07U) */
+
+
+
+/*@} end of CMSIS_Core_RegAccFunctions */
+
+
+/* ##########################  Core Instruction Access  ######################### */
+/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
+  Access to dedicated instructions
+  @{
+*/
+
+/**
+  \brief   No Operation
+  \details No Operation does nothing. This instruction can be used for code alignment purposes.
+ */
+#define __NOP                             __nop
+
+
+/**
+  \brief   Wait For Interrupt
+  \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs.
+ */
+#define __WFI                             __wfi
+
+
+/**
+  \brief   Wait For Event
+  \details Wait For Event is a hint instruction that permits the processor to enter
+           a low-power state until one of a number of events occurs.
+ */
+#define __WFE                             __wfe
+
+
+/**
+  \brief   Send Event
+  \details Send Event is a hint instruction. It causes an event to be signaled to the CPU.
+ */
+#define __SEV                             __sev
+
+
+/**
+  \brief   Instruction Synchronization Barrier
+  \details Instruction Synchronization Barrier flushes the pipeline in the processor,
+           so that all instructions following the ISB are fetched from cache or memory,
+           after the instruction has been completed.
+ */
+#define __ISB() do {\
+                   __schedule_barrier();\
+                   __isb(0xF);\
+                   __schedule_barrier();\
+                } while (0U)
+
+/**
+  \brief   Data Synchronization Barrier
+  \details Acts as a special kind of Data Memory Barrier.
+           It completes when all explicit memory accesses before this instruction complete.
+ */
+#define __DSB() do {\
+                   __schedule_barrier();\
+                   __dsb(0xF);\
+                   __schedule_barrier();\
+                } while (0U)
+
+/**
+  \brief   Data Memory Barrier
+  \details Ensures the apparent order of the explicit memory operations before
+           and after the instruction, without ensuring their completion.
+ */
+#define __DMB() do {\
+                   __schedule_barrier();\
+                   __dmb(0xF);\
+                   __schedule_barrier();\
+                } while (0U)
+
+/**
+  \brief   Reverse byte order (32 bit)
+  \details Reverses the byte order in integer value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#define __REV                             __rev
+
+
+/**
+  \brief   Reverse byte order (16 bit)
+  \details Reverses the byte order in two unsigned short values.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#ifndef __NO_EMBEDDED_ASM
+__attribute__((section(".rev16_text"))) __STATIC_INLINE __ASM uint32_t __REV16(uint32_t value)
+{
+  rev16 r0, r0
+  bx lr
+}
+#endif
+
+/**
+  \brief   Reverse byte order in signed short value
+  \details Reverses the byte order in a signed short value with sign extension to integer.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#ifndef __NO_EMBEDDED_ASM
+__attribute__((section(".revsh_text"))) __STATIC_INLINE __ASM int32_t __REVSH(int32_t value)
+{
+  revsh r0, r0
+  bx lr
+}
+#endif
+
+
+/**
+  \brief   Rotate Right in unsigned value (32 bit)
+  \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
+  \param [in]    value  Value to rotate
+  \param [in]    value  Number of Bits to rotate
+  \return               Rotated value
+ */
+#define __ROR                             __ror
+
+
+/**
+  \brief   Breakpoint
+  \details Causes the processor to enter Debug state.
+           Debug tools can use this to investigate system state when the instruction at a particular address is reached.
+  \param [in]    value  is ignored by the processor.
+                 If required, a debugger can use it to store additional information about the breakpoint.
+ */
+#define __BKPT(value)                       __breakpoint(value)
+
+
+/**
+  \brief   Reverse bit order of value
+  \details Reverses the bit order of the given value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#if       (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U)
+  #define __RBIT                          __rbit
+#else
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
+{
+  uint32_t result;
+  int32_t s = 4 /*sizeof(v)*/ * 8 - 1; /* extra shift needed at end */
+
+  result = value;                      /* r will be reversed bits of v; first get LSB of v */
+  for (value >>= 1U; value; value >>= 1U)
+  {
+    result <<= 1U;
+    result |= value & 1U;
+    s--;
+  }
+  result <<= s;                        /* shift when v's highest bits are zero */
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Count leading zeros
+  \details Counts the number of leading zeros of a data value.
+  \param [in]  value  Value to count the leading zeros
+  \return             number of leading zeros in value
+ */
+#define __CLZ                             __clz
+
+
+#if       (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U)
+
+/**
+  \brief   LDR Exclusive (8 bit)
+  \details Executes a exclusive LDR instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __LDREXB(ptr)                                                        ((uint8_t ) __ldrex(ptr))
+#else
+  #define __LDREXB(ptr)          _Pragma("push") _Pragma("diag_suppress 3731") ((uint8_t ) __ldrex(ptr))  _Pragma("pop")
+#endif
+
+
+/**
+  \brief   LDR Exclusive (16 bit)
+  \details Executes a exclusive LDR instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __LDREXH(ptr)                                                        ((uint16_t) __ldrex(ptr))
+#else
+  #define __LDREXH(ptr)          _Pragma("push") _Pragma("diag_suppress 3731") ((uint16_t) __ldrex(ptr))  _Pragma("pop")
+#endif
+
+
+/**
+  \brief   LDR Exclusive (32 bit)
+  \details Executes a exclusive LDR instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __LDREXW(ptr)                                                        ((uint32_t ) __ldrex(ptr))
+#else
+  #define __LDREXW(ptr)          _Pragma("push") _Pragma("diag_suppress 3731") ((uint32_t ) __ldrex(ptr))  _Pragma("pop")
+#endif
+
+
+/**
+  \brief   STR Exclusive (8 bit)
+  \details Executes a exclusive STR instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __STREXB(value, ptr)                                                 __strex(value, ptr)
+#else
+  #define __STREXB(value, ptr)   _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr)        _Pragma("pop")
+#endif
+
+
+/**
+  \brief   STR Exclusive (16 bit)
+  \details Executes a exclusive STR instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __STREXH(value, ptr)                                                 __strex(value, ptr)
+#else
+  #define __STREXH(value, ptr)   _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr)        _Pragma("pop")
+#endif
+
+
+/**
+  \brief   STR Exclusive (32 bit)
+  \details Executes a exclusive STR instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020)
+  #define __STREXW(value, ptr)                                                 __strex(value, ptr)
+#else
+  #define __STREXW(value, ptr)   _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr)        _Pragma("pop")
+#endif
+
+
+/**
+  \brief   Remove the exclusive lock
+  \details Removes the exclusive lock which is created by LDREX.
+ */
+#define __CLREX                           __clrex
+
+
+/**
+  \brief   Signed Saturate
+  \details Saturates a signed value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (1..32)
+  \return             Saturated value
+ */
+#define __SSAT                            __ssat
+
+
+/**
+  \brief   Unsigned Saturate
+  \details Saturates an unsigned value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (0..31)
+  \return             Saturated value
+ */
+#define __USAT                            __usat
+
+
+/**
+  \brief   Rotate Right with Extend (32 bit)
+  \details Moves each bit of a bitstring right by one bit.
+           The carry input is shifted in at the left end of the bitstring.
+  \param [in]    value  Value to rotate
+  \return               Rotated value
+ */
+#ifndef __NO_EMBEDDED_ASM
+__attribute__((section(".rrx_text"))) __STATIC_INLINE __ASM uint32_t __RRX(uint32_t value)
+{
+  rrx r0, r0
+  bx lr
+}
+#endif
+
+
+/**
+  \brief   LDRT Unprivileged (8 bit)
+  \details Executes a Unprivileged LDRT instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+#define __LDRBT(ptr)                      ((uint8_t )  __ldrt(ptr))
+
+
+/**
+  \brief   LDRT Unprivileged (16 bit)
+  \details Executes a Unprivileged LDRT instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+#define __LDRHT(ptr)                      ((uint16_t)  __ldrt(ptr))
+
+
+/**
+  \brief   LDRT Unprivileged (32 bit)
+  \details Executes a Unprivileged LDRT instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+#define __LDRT(ptr)                       ((uint32_t ) __ldrt(ptr))
+
+
+/**
+  \brief   STRT Unprivileged (8 bit)
+  \details Executes a Unprivileged STRT instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+#define __STRBT(value, ptr)               __strt(value, ptr)
+
+
+/**
+  \brief   STRT Unprivileged (16 bit)
+  \details Executes a Unprivileged STRT instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+#define __STRHT(value, ptr)               __strt(value, ptr)
+
+
+/**
+  \brief   STRT Unprivileged (32 bit)
+  \details Executes a Unprivileged STRT instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+#define __STRT(value, ptr)                __strt(value, ptr)
+
+#endif /* (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U) */
+
+/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
+
+
+/* ###################  Compiler specific Intrinsics  ########################### */
+/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
+  Access to dedicated SIMD instructions
+  @{
+*/
+
+#if (__CORTEX_M >= 0x04U)  /* only for Cortex-M4 and above */
+
+#define __SADD8                           __sadd8
+#define __QADD8                           __qadd8
+#define __SHADD8                          __shadd8
+#define __UADD8                           __uadd8
+#define __UQADD8                          __uqadd8
+#define __UHADD8                          __uhadd8
+#define __SSUB8                           __ssub8
+#define __QSUB8                           __qsub8
+#define __SHSUB8                          __shsub8
+#define __USUB8                           __usub8
+#define __UQSUB8                          __uqsub8
+#define __UHSUB8                          __uhsub8
+#define __SADD16                          __sadd16
+#define __QADD16                          __qadd16
+#define __SHADD16                         __shadd16
+#define __UADD16                          __uadd16
+#define __UQADD16                         __uqadd16
+#define __UHADD16                         __uhadd16
+#define __SSUB16                          __ssub16
+#define __QSUB16                          __qsub16
+#define __SHSUB16                         __shsub16
+#define __USUB16                          __usub16
+#define __UQSUB16                         __uqsub16
+#define __UHSUB16                         __uhsub16
+#define __SASX                            __sasx
+#define __QASX                            __qasx
+#define __SHASX                           __shasx
+#define __UASX                            __uasx
+#define __UQASX                           __uqasx
+#define __UHASX                           __uhasx
+#define __SSAX                            __ssax
+#define __QSAX                            __qsax
+#define __SHSAX                           __shsax
+#define __USAX                            __usax
+#define __UQSAX                           __uqsax
+#define __UHSAX                           __uhsax
+#define __USAD8                           __usad8
+#define __USADA8                          __usada8
+#define __SSAT16                          __ssat16
+#define __USAT16                          __usat16
+#define __UXTB16                          __uxtb16
+#define __UXTAB16                         __uxtab16
+#define __SXTB16                          __sxtb16
+#define __SXTAB16                         __sxtab16
+#define __SMUAD                           __smuad
+#define __SMUADX                          __smuadx
+#define __SMLAD                           __smlad
+#define __SMLADX                          __smladx
+#define __SMLALD                          __smlald
+#define __SMLALDX                         __smlaldx
+#define __SMUSD                           __smusd
+#define __SMUSDX                          __smusdx
+#define __SMLSD                           __smlsd
+#define __SMLSDX                          __smlsdx
+#define __SMLSLD                          __smlsld
+#define __SMLSLDX                         __smlsldx
+#define __SEL                             __sel
+#define __QADD                            __qadd
+#define __QSUB                            __qsub
+
+#define __PKHBT(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0x0000FFFFUL) |  \
+                                           ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL)  )
+
+#define __PKHTB(ARG1,ARG2,ARG3)          ( ((((uint32_t)(ARG1))          ) & 0xFFFF0000UL) |  \
+                                           ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL)  )
+
+#define __SMMLA(ARG1,ARG2,ARG3)          ( (int32_t)((((int64_t)(ARG1) * (ARG2)) + \
+                                                      ((int64_t)(ARG3) << 32U)     ) >> 32U))
+
+#endif /* (__CORTEX_M >= 0x04) */
+/*@} end of group CMSIS_SIMD_intrinsics */
+
+
+#endif /* __CMSIS_ARMCC_H */
diff --git a/Include/cmsis_armcc_V6.h b/Include/cmsis_armcc_V6.h
new file mode 100644
index 0000000..cd13240
--- /dev/null
+++ b/Include/cmsis_armcc_V6.h
@@ -0,0 +1,1800 @@
+/**************************************************************************//**
+ * @file     cmsis_armcc_V6.h
+ * @brief    CMSIS Cortex-M Core Function/Instruction Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#ifndef __CMSIS_ARMCC_V6_H
+#define __CMSIS_ARMCC_V6_H
+
+
+/* ###########################  Core Function Access  ########################### */
+/** \ingroup  CMSIS_Core_FunctionInterface
+    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
+  @{
+ */
+
+/**
+  \brief   Enable IRQ Interrupts
+  \details Enables IRQ interrupts by clearing the I-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __enable_irq(void)
+{
+  __ASM volatile ("cpsie i" : : : "memory");
+}
+
+
+/**
+  \brief   Disable IRQ Interrupts
+  \details Disables IRQ interrupts by setting the I-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __disable_irq(void)
+{
+  __ASM volatile ("cpsid i" : : : "memory");
+}
+
+
+/**
+  \brief   Get Control Register
+  \details Returns the content of the Control Register.
+  \return               Control Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_CONTROL(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, control" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Control Register (non-secure)
+  \details Returns the content of the non-secure Control Register when in secure mode.
+  \return               non-secure Control Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_CONTROL_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, control_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Control Register
+  \details Writes the given value to the Control Register.
+  \param [in]    control  Control Register value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_CONTROL(uint32_t control)
+{
+  __ASM volatile ("MSR control, %0" : : "r" (control) : "memory");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Control Register (non-secure)
+  \details Writes the given value to the non-secure Control Register when in secure state.
+  \param [in]    control  Control Register value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_CONTROL_NS(uint32_t control)
+{
+  __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory");
+}
+#endif
+
+
+/**
+  \brief   Get IPSR Register
+  \details Returns the content of the IPSR Register.
+  \return               IPSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_IPSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, ipsr" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get IPSR Register (non-secure)
+  \details Returns the content of the non-secure IPSR Register when in secure state.
+  \return               IPSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_IPSR_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, ipsr_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Get APSR Register
+  \details Returns the content of the APSR Register.
+  \return               APSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_APSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, apsr" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get APSR Register (non-secure)
+  \details Returns the content of the non-secure APSR Register when in secure state.
+  \return               APSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_APSR_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, apsr_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Get xPSR Register
+  \details Returns the content of the xPSR Register.
+  \return               xPSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_xPSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, xpsr" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get xPSR Register (non-secure)
+  \details Returns the content of the non-secure xPSR Register when in secure state.
+  \return               xPSR Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_xPSR_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, xpsr_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Get Process Stack Pointer
+  \details Returns the current value of the Process Stack Pointer (PSP).
+  \return               PSP Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_PSP(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, psp"  : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Process Stack Pointer (non-secure)
+  \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state.
+  \return               PSP Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_PSP_NS(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, psp_ns"  : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Process Stack Pointer
+  \details Assigns the given value to the Process Stack Pointer (PSP).
+  \param [in]    topOfProcStack  Process Stack Pointer value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
+{
+  __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : "sp");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Process Stack Pointer (non-secure)
+  \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state.
+  \param [in]    topOfProcStack  Process Stack Pointer value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack)
+{
+  __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : "sp");
+}
+#endif
+
+
+/**
+  \brief   Get Main Stack Pointer
+  \details Returns the current value of the Main Stack Pointer (MSP).
+  \return               MSP Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_MSP(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, msp" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Main Stack Pointer (non-secure)
+  \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state.
+  \return               MSP Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_MSP_NS(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, msp_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Main Stack Pointer
+  \details Assigns the given value to the Main Stack Pointer (MSP).
+  \param [in]    topOfMainStack  Main Stack Pointer value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
+{
+  __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : "sp");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Main Stack Pointer (non-secure)
+  \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state.
+  \param [in]    topOfMainStack  Main Stack Pointer value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack)
+{
+  __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : "sp");
+}
+#endif
+
+
+/**
+  \brief   Get Priority Mask
+  \details Returns the current state of the priority mask bit from the Priority Mask Register.
+  \return               Priority Mask value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_PRIMASK(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, primask" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Priority Mask (non-secure)
+  \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state.
+  \return               Priority Mask value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_PRIMASK_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, primask_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Priority Mask
+  \details Assigns the given value to the Priority Mask Register.
+  \param [in]    priMask  Priority Mask
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
+{
+  __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Priority Mask (non-secure)
+  \details Assigns the given value to the non-secure Priority Mask Register when in secure state.
+  \param [in]    priMask  Priority Mask
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_PRIMASK_NS(uint32_t priMask)
+{
+  __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory");
+}
+#endif
+
+
+#if ((__ARM_ARCH_7M__ == 1U) || (__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U))  /* ToDo:  ARMCC_V6: check if this is ok for cortex >=3 */
+
+/**
+  \brief   Enable FIQ
+  \details Enables FIQ interrupts by clearing the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __enable_fault_irq(void)
+{
+  __ASM volatile ("cpsie f" : : : "memory");
+}
+
+
+/**
+  \brief   Disable FIQ
+  \details Disables FIQ interrupts by setting the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __disable_fault_irq(void)
+{
+  __ASM volatile ("cpsid f" : : : "memory");
+}
+
+
+/**
+  \brief   Get Base Priority
+  \details Returns the current value of the Base Priority register.
+  \return               Base Priority register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_BASEPRI(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, basepri" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Base Priority (non-secure)
+  \details Returns the current value of the non-secure Base Priority register when in secure state.
+  \return               Base Priority register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_BASEPRI_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Base Priority
+  \details Assigns the given value to the Base Priority register.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_BASEPRI(uint32_t value)
+{
+  __ASM volatile ("MSR basepri, %0" : : "r" (value) : "memory");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Base Priority (non-secure)
+  \details Assigns the given value to the non-secure Base Priority register when in secure state.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_BASEPRI_NS(uint32_t value)
+{
+  __ASM volatile ("MSR basepri_ns, %0" : : "r" (value) : "memory");
+}
+#endif
+
+
+/**
+  \brief   Set Base Priority with condition
+  \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled,
+           or the new value increases the BASEPRI priority level.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_BASEPRI_MAX(uint32_t value)
+{
+  __ASM volatile ("MSR basepri_max, %0" : : "r" (value) : "memory");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Base Priority with condition (non_secure)
+  \details Assigns the given value to the non-secure Base Priority register when in secure state only if BASEPRI masking is disabled,
+	       or the new value increases the BASEPRI priority level.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_BASEPRI_MAX_NS(uint32_t value)
+{
+  __ASM volatile ("MSR basepri_max_ns, %0" : : "r" (value) : "memory");
+}
+#endif
+
+
+/**
+  \brief   Get Fault Mask
+  \details Returns the current value of the Fault Mask register.
+  \return               Fault Mask register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_FAULTMASK(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, faultmask" : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get Fault Mask (non-secure)
+  \details Returns the current value of the non-secure Fault Mask register when in secure state.
+  \return               Fault Mask register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_FAULTMASK_NS(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Fault Mask
+  \details Assigns the given value to the Fault Mask register.
+  \param [in]    faultMask  Fault Mask value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
+{
+  __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory");
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set Fault Mask (non-secure)
+  \details Assigns the given value to the non-secure Fault Mask register when in secure state.
+  \param [in]    faultMask  Fault Mask value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask)
+{
+  __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory");
+}
+#endif
+
+
+#endif /* ((__ARM_ARCH_7M__ == 1U) || (__ARM_ARCH_8M__ == 1U)) */
+
+
+#if (__ARM_ARCH_8M__ == 1U)
+
+/**
+  \brief   Get Process Stack Pointer Limit
+  \details Returns the current value of the Process Stack Pointer Limit (PSPLIM).
+  \return               PSPLIM Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_PSPLIM(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, psplim"  : "=r" (result) );
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U) && (__ARM_ARCH_PROFILE == 'M')     /* ToDo:  ARMCC_V6: check predefined macro for mainline */
+/**
+  \brief   Get Process Stack Pointer Limit (non-secure)
+  \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state.
+  \return               PSPLIM Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_PSPLIM_NS(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, psplim_ns"  : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Process Stack Pointer Limit
+  \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM).
+  \param [in]    ProcStackPtrLimit  Process Stack Pointer Limit value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit)
+{
+  __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit));
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U) && (__ARM_ARCH_PROFILE == 'M')     /* ToDo:  ARMCC_V6: check predefined macro for mainline */
+/**
+  \brief   Set Process Stack Pointer (non-secure)
+  \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state.
+  \param [in]    ProcStackPtrLimit  Process Stack Pointer Limit value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit)
+{
+  __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit));
+}
+#endif
+
+
+/**
+  \brief   Get Main Stack Pointer Limit
+  \details Returns the current value of the Main Stack Pointer Limit (MSPLIM).
+  \return               MSPLIM Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_MSPLIM(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, msplim" : "=r" (result) );
+
+  return(result);
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U) && (__ARM_ARCH_PROFILE == 'M')     /* ToDo:  ARMCC_V6: check predefined macro for mainline */
+/**
+  \brief   Get Main Stack Pointer Limit (non-secure)
+  \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state.
+  \return               MSPLIM Register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_MSPLIM_NS(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Set Main Stack Pointer Limit
+  \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM).
+  \param [in]    MainStackPtrLimit  Main Stack Pointer Limit value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __set_MSPLIM(uint32_t MainStackPtrLimit)
+{
+  __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit));
+}
+
+
+#if  (__ARM_FEATURE_CMSE == 3U) && (__ARM_ARCH_PROFILE == 'M')     /* ToDo:  ARMCC_V6: check predefined macro for mainline */
+/**
+  \brief   Set Main Stack Pointer Limit (non-secure)
+  \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state.
+  \param [in]    MainStackPtrLimit  Main Stack Pointer value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit)
+{
+  __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit));
+}
+#endif
+
+#endif /* (__ARM_ARCH_8M__ == 1U) */
+
+
+#if ((__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U))  /* ToDo:  ARMCC_V6: check if this is ok for cortex >=4 */
+
+/**
+  \brief   Get FPSCR
+  \details eturns the current value of the Floating Point Status/Control register.
+  \return               Floating Point Status/Control register value
+ */
+#define __get_FPSCR      __builtin_arm_get_fpscr
+#if 0
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __get_FPSCR(void)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  uint32_t result;
+
+  __ASM volatile ("");                                 /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("VMRS %0, fpscr" : "=r" (result) );
+  __ASM volatile ("");
+  return(result);
+#else
+   return(0);
+#endif
+}
+#endif
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Get FPSCR (non-secure)
+  \details Returns the current value of the non-secure Floating Point Status/Control register when in secure state.
+  \return               Floating Point Status/Control register value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __TZ_get_FPSCR_NS(void)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  uint32_t result;
+
+  __ASM volatile ("");                                 /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("VMRS %0, fpscr_ns" : "=r" (result) );
+  __ASM volatile ("");
+  return(result);
+#else
+   return(0);
+#endif
+}
+#endif
+
+
+/**
+  \brief   Set FPSCR
+  \details Assigns the given value to the Floating Point Status/Control register.
+  \param [in]    fpscr  Floating Point Status/Control value to set
+ */
+#define __set_FPSCR      __builtin_arm_set_fpscr
+#if 0
+__attribute__((always_inline)) __STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  __ASM volatile ("");                                 /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc");
+  __ASM volatile ("");
+#endif
+}
+#endif
+
+#if  (__ARM_FEATURE_CMSE == 3U)
+/**
+  \brief   Set FPSCR (non-secure)
+  \details Assigns the given value to the non-secure Floating Point Status/Control register when in secure state.
+  \param [in]    fpscr  Floating Point Status/Control value to set
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __TZ_set_FPSCR_NS(uint32_t fpscr)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  __ASM volatile ("");                                 /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("VMSR fpscr_ns, %0" : : "r" (fpscr) : "vfpcc");
+  __ASM volatile ("");
+#endif
+}
+#endif
+
+#endif /* ((__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U)) */
+
+
+
+/*@} end of CMSIS_Core_RegAccFunctions */
+
+
+/* ##########################  Core Instruction Access  ######################### */
+/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
+  Access to dedicated instructions
+  @{
+*/
+
+/* Define macros for porting to both thumb1 and thumb2.
+ * For thumb1, use low register (r0-r7), specified by constraint "l"
+ * Otherwise, use general registers, specified by constraint "r" */
+#if defined (__thumb__) && !defined (__thumb2__)
+#define __CMSIS_GCC_OUT_REG(r) "=l" (r)
+#define __CMSIS_GCC_USE_REG(r) "l" (r)
+#else
+#define __CMSIS_GCC_OUT_REG(r) "=r" (r)
+#define __CMSIS_GCC_USE_REG(r) "r" (r)
+#endif
+
+/**
+  \brief   No Operation
+  \details No Operation does nothing. This instruction can be used for code alignment purposes.
+ */
+#define __NOP          __builtin_arm_nop
+
+/**
+  \brief   Wait For Interrupt
+  \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs.
+ */
+#define __WFI          __builtin_arm_wfi
+
+
+/**
+  \brief   Wait For Event
+  \details Wait For Event is a hint instruction that permits the processor to enter
+           a low-power state until one of a number of events occurs.
+ */
+#define __WFE          __builtin_arm_wfe
+
+
+/**
+  \brief   Send Event
+  \details Send Event is a hint instruction. It causes an event to be signaled to the CPU.
+ */
+#define __SEV          __builtin_arm_sev
+
+
+/**
+  \brief   Instruction Synchronization Barrier
+  \details Instruction Synchronization Barrier flushes the pipeline in the processor,
+           so that all instructions following the ISB are fetched from cache or memory,
+           after the instruction has been completed.
+ */
+#define __ISB()        __builtin_arm_isb(0xF);
+
+/**
+  \brief   Data Synchronization Barrier
+  \details Acts as a special kind of Data Memory Barrier.
+           It completes when all explicit memory accesses before this instruction complete.
+ */
+#define __DSB()        __builtin_arm_dsb(0xF);
+
+
+/**
+  \brief   Data Memory Barrier
+  \details Ensures the apparent order of the explicit memory operations before
+           and after the instruction, without ensuring their completion.
+ */
+#define __DMB()        __builtin_arm_dmb(0xF);
+
+
+/**
+  \brief   Reverse byte order (32 bit)
+  \details Reverses the byte order in integer value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#define __REV          __builtin_bswap32
+
+
+/**
+  \brief   Reverse byte order (16 bit)
+  \details Reverses the byte order in two unsigned short values.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+#define __REV16          __builtin_bswap16                           /* ToDo:  ARMCC_V6: check if __builtin_bswap16 could be used */
+#if 0
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __REV16(uint32_t value)
+{
+  uint32_t result;
+
+  __ASM volatile ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+}
+#endif
+
+
+/**
+  \brief   Reverse byte order in signed short value
+  \details Reverses the byte order in a signed short value with sign extension to integer.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+                                                          /* ToDo:  ARMCC_V6: check if __builtin_bswap16 could be used */
+__attribute__((always_inline)) __STATIC_INLINE int32_t __REVSH(int32_t value)
+{
+  int32_t result;
+
+  __ASM volatile ("revsh %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+}
+
+
+/**
+  \brief   Rotate Right in unsigned value (32 bit)
+  \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
+  \param [in]    op1  Value to rotate
+  \param [in]    op2  Number of Bits to rotate
+  \return               Rotated value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
+{
+  return (op1 >> op2) | (op1 << (32U - op2));
+}
+
+
+/**
+  \brief   Breakpoint
+  \details Causes the processor to enter Debug state.
+            Debug tools can use this to investigate system state when the instruction at a particular address is reached.
+    \param [in]    value  is ignored by the processor.
+                   If required, a debugger can use it to store additional information about the breakpoint.
+ */
+#define __BKPT(value)                       __ASM volatile ("bkpt "#value)
+
+
+/**
+  \brief   Reverse bit order of value
+  \details Reverses the bit order of the given value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+                                                          /* ToDo:  ARMCC_V6: check if __builtin_arm_rbit is supported */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
+{
+  uint32_t result;
+
+#if ((__ARM_ARCH_7M__ == 1U) || (__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U))  /* ToDo:  ARMCC_V6: check if this is ok for cortex >=3 */
+   __ASM volatile ("rbit %0, %1" : "=r" (result) : "r" (value) );
+#else
+  int32_t s = 4 /*sizeof(v)*/ * 8 - 1; /* extra shift needed at end */
+
+  result = value;                      /* r will be reversed bits of v; first get LSB of v */
+  for (value >>= 1U; value; value >>= 1U)
+  {
+    result <<= 1U;
+    result |= value & 1U;
+    s--;
+  }
+  result <<= s;                        /* shift when v's highest bits are zero */
+#endif
+  return(result);
+}
+
+
+/**
+  \brief   Count leading zeros
+  \details Counts the number of leading zeros of a data value.
+  \param [in]  value  Value to count the leading zeros
+  \return             number of leading zeros in value
+ */
+#define __CLZ             __builtin_clz
+
+
+#if ((__ARM_ARCH_7M__ == 1U) || (__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U))  /* ToDo:  ARMCC_V6: check if this is ok for cortex >=3 */
+
+/**
+  \brief   LDR Exclusive (8 bit)
+  \details Executes a exclusive LDR instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+#define __LDREXB        (uint8_t)__builtin_arm_ldrex
+
+
+/**
+  \brief   LDR Exclusive (16 bit)
+  \details Executes a exclusive LDR instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+#define __LDREXH        (uint16_t)__builtin_arm_ldrex
+
+
+/**
+  \brief   LDR Exclusive (32 bit)
+  \details Executes a exclusive LDR instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+#define __LDREXW        (uint32_t)__builtin_arm_ldrex
+
+
+/**
+  \brief   STR Exclusive (8 bit)
+  \details Executes a exclusive STR instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define __STREXB        (uint32_t)__builtin_arm_strex
+
+
+/**
+  \brief   STR Exclusive (16 bit)
+  \details Executes a exclusive STR instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define __STREXH        (uint32_t)__builtin_arm_strex
+
+
+/**
+  \brief   STR Exclusive (32 bit)
+  \details Executes a exclusive STR instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define __STREXW        (uint32_t)__builtin_arm_strex
+
+
+/**
+  \brief   Remove the exclusive lock
+  \details Removes the exclusive lock which is created by LDREX.
+ */
+#define __CLREX             __builtin_arm_clrex
+
+
+/**
+  \brief   Signed Saturate
+  \details Saturates a signed value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (1..32)
+  \return             Saturated value
+ */
+/*#define __SSAT             __builtin_arm_ssat*/
+#define __SSAT(ARG1,ARG2) \
+({                          \
+  int32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("ssat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+
+/**
+  \brief   Unsigned Saturate
+  \details Saturates an unsigned value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (0..31)
+  \return             Saturated value
+ */
+#define __USAT             __builtin_arm_usat
+#if 0
+#define __USAT(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("usat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+#endif
+
+
+/**
+  \brief   Rotate Right with Extend (32 bit)
+  \details Moves each bit of a bitstring right by one bit.
+           The carry input is shifted in at the left end of the bitstring.
+  \param [in]    value  Value to rotate
+  \return               Rotated value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __RRX(uint32_t value)
+{
+  uint32_t result;
+
+  __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+}
+
+
+/**
+  \brief   LDRT Unprivileged (8 bit)
+  \details Executes a Unprivileged LDRT instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDRBT(volatile uint8_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return ((uint8_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDRT Unprivileged (16 bit)
+  \details Executes a Unprivileged LDRT instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDRHT(volatile uint16_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return ((uint16_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDRT Unprivileged (32 bit)
+  \details Executes a Unprivileged LDRT instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDRT(volatile uint32_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return(result);
+}
+
+
+/**
+  \brief   STRT Unprivileged (8 bit)
+  \details Executes a Unprivileged STRT instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRBT(uint8_t value, volatile uint8_t *ptr)
+{
+   __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   STRT Unprivileged (16 bit)
+  \details Executes a Unprivileged STRT instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRHT(uint16_t value, volatile uint16_t *ptr)
+{
+   __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   STRT Unprivileged (32 bit)
+  \details Executes a Unprivileged STRT instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRT(uint32_t value, volatile uint32_t *ptr)
+{
+   __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) );
+}
+
+#endif /* ((__ARM_ARCH_7M__ == 1U) || (__ARM_ARCH_7EM__ == 1U) || (__ARM_ARCH_8M__ == 1U)) */
+
+
+#if (__ARM_ARCH_8M__ == 1U)
+
+/**
+  \brief   Load-Acquire (8 bit)
+  \details Executes a LDAB instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDAB(volatile uint8_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return ((uint8_t) result);
+}
+
+
+/**
+  \brief   Load-Acquire (16 bit)
+  \details Executes a LDAH instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDAH(volatile uint16_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return ((uint16_t) result);
+}
+
+
+/**
+  \brief   Load-Acquire (32 bit)
+  \details Executes a LDA instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDA(volatile uint32_t *ptr)
+{
+    uint32_t result;
+
+   __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) );
+   return(result);
+}
+
+
+/**
+  \brief   Store-Release (8 bit)
+  \details Executes a STLB instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STLB(uint8_t value, volatile uint8_t *ptr)
+{
+   __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   Store-Release (16 bit)
+  \details Executes a STLH instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STLH(uint16_t value, volatile uint16_t *ptr)
+{
+   __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   Store-Release (32 bit)
+  \details Executes a STL instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STL(uint32_t value, volatile uint32_t *ptr)
+{
+   __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   Load-Acquire Exclusive (8 bit)
+  \details Executes a LDAB exclusive instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+#define     __LDAEXB                 (uint8_t)__builtin_arm_ldaex
+
+
+/**
+  \brief   Load-Acquire Exclusive (16 bit)
+  \details Executes a LDAH exclusive instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+#define     __LDAEXH                 (uint16_t)__builtin_arm_ldaex
+
+
+/**
+  \brief   Load-Acquire Exclusive (32 bit)
+  \details Executes a LDA exclusive instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+#define     __LDAEX                  (uint32_t)__builtin_arm_ldaex
+
+
+/**
+  \brief   Store-Release Exclusive (8 bit)
+  \details Executes a STLB exclusive instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define     __STLEXB                 (uint32_t)__builtin_arm_stlex
+
+
+/**
+  \brief   Store-Release Exclusive (16 bit)
+  \details Executes a STLH exclusive instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define     __STLEXH                 (uint32_t)__builtin_arm_stlex
+
+
+/**
+  \brief   Store-Release Exclusive (32 bit)
+  \details Executes a STL exclusive instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+#define     __STLEX                  (uint32_t)__builtin_arm_stlex
+
+#endif /* (__ARM_ARCH_8M__ == 1U) */
+
+/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
+
+
+/* ###################  Compiler specific Intrinsics  ########################### */
+/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
+  Access to dedicated SIMD instructions
+  @{
+*/
+
+#if (__ARM_FEATURE_DSP == 1U)        /* ToDo:  ARMCC_V6: This should be ARCH >= ARMv7-M + SIMD */
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __USUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __USUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __QSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __USAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __USAD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+#define __SSAT16(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("ssat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+#define __USAT16(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("usat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UXTB16(uint32_t op1)
+{
+  uint32_t result;
+
+  __ASM volatile ("uxtb16 %0, %1" : "=r" (result) : "r" (op1));
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SXTB16(uint32_t op1)
+{
+  uint32_t result;
+
+  __ASM volatile ("sxtb16 %0, %1" : "=r" (result) : "r" (op1));
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMUAD  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMUSD  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SEL  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE  int32_t __QADD( int32_t op1,  int32_t op2)
+{
+  int32_t result;
+
+  __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__((always_inline)) __STATIC_INLINE  int32_t __QSUB( int32_t op1,  int32_t op2)
+{
+  int32_t result;
+
+  __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+#define __PKHBT(ARG1,ARG2,ARG3) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
+  __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
+  __RES; \
+ })
+
+#define __PKHTB(ARG1,ARG2,ARG3) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
+  if (ARG3 == 0) \
+    __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2)  ); \
+  else \
+    __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
+  __RES; \
+ })
+
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3)
+{
+ int32_t result;
+
+ __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r"  (op1), "r" (op2), "r" (op3) );
+ return(result);
+}
+
+#endif /* (__ARM_FEATURE_DSP == 1U) */
+/*@} end of group CMSIS_SIMD_intrinsics */
+
+
+#endif /* __CMSIS_ARMCC_V6_H */
diff --git a/Include/cmsis_gcc.h b/Include/cmsis_gcc.h
new file mode 100644
index 0000000..bb89fbb
--- /dev/null
+++ b/Include/cmsis_gcc.h
@@ -0,0 +1,1373 @@
+/**************************************************************************//**
+ * @file     cmsis_gcc.h
+ * @brief    CMSIS Cortex-M Core Function/Instruction Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#ifndef __CMSIS_GCC_H
+#define __CMSIS_GCC_H
+
+/* ignore some GCC warnings */
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wsign-conversion"
+#pragma GCC diagnostic ignored "-Wconversion"
+#pragma GCC diagnostic ignored "-Wunused-parameter"
+#endif
+
+
+/* ###########################  Core Function Access  ########################### */
+/** \ingroup  CMSIS_Core_FunctionInterface
+    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
+  @{
+ */
+
+/**
+  \brief   Enable IRQ Interrupts
+  \details Enables IRQ interrupts by clearing the I-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_irq(void)
+{
+  __ASM volatile ("cpsie i" : : : "memory");
+}
+
+
+/**
+  \brief   Disable IRQ Interrupts
+  \details Disables IRQ interrupts by setting the I-bit in the CPSR.
+  Can only be executed in Privileged modes.
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_irq(void)
+{
+  __ASM volatile ("cpsid i" : : : "memory");
+}
+
+
+/**
+  \brief   Get Control Register
+  \details Returns the content of the Control Register.
+  \return               Control Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_CONTROL(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, control" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Control Register
+  \details Writes the given value to the Control Register.
+  \param [in]    control  Control Register value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_CONTROL(uint32_t control)
+{
+  __ASM volatile ("MSR control, %0" : : "r" (control) : "memory");
+}
+
+
+/**
+  \brief   Get IPSR Register
+  \details Returns the content of the IPSR Register.
+  \return               IPSR Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_IPSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, ipsr" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Get APSR Register
+  \details Returns the content of the APSR Register.
+  \return               APSR Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_APSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, apsr" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Get xPSR Register
+  \details Returns the content of the xPSR Register.
+
+    \return               xPSR Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_xPSR(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, xpsr" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Get Process Stack Pointer
+  \details Returns the current value of the Process Stack Pointer (PSP).
+  \return               PSP Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PSP(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, psp\n"  : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Process Stack Pointer
+  \details Assigns the given value to the Process Stack Pointer (PSP).
+  \param [in]    topOfProcStack  Process Stack Pointer value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PSP(uint32_t topOfProcStack)
+{
+  __ASM volatile ("MSR psp, %0\n" : : "r" (topOfProcStack) : "sp");
+}
+
+
+/**
+  \brief   Get Main Stack Pointer
+  \details Returns the current value of the Main Stack Pointer (MSP).
+  \return               MSP Register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_MSP(void)
+{
+  register uint32_t result;
+
+  __ASM volatile ("MRS %0, msp\n" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Main Stack Pointer
+  \details Assigns the given value to the Main Stack Pointer (MSP).
+
+    \param [in]    topOfMainStack  Main Stack Pointer value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_MSP(uint32_t topOfMainStack)
+{
+  __ASM volatile ("MSR msp, %0\n" : : "r" (topOfMainStack) : "sp");
+}
+
+
+/**
+  \brief   Get Priority Mask
+  \details Returns the current state of the priority mask bit from the Priority Mask Register.
+  \return               Priority Mask value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_PRIMASK(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, primask" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Priority Mask
+  \details Assigns the given value to the Priority Mask Register.
+  \param [in]    priMask  Priority Mask
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_PRIMASK(uint32_t priMask)
+{
+  __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory");
+}
+
+
+#if       (__CORTEX_M >= 0x03U)
+
+/**
+  \brief   Enable FIQ
+  \details Enables FIQ interrupts by clearing the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __enable_fault_irq(void)
+{
+  __ASM volatile ("cpsie f" : : : "memory");
+}
+
+
+/**
+  \brief   Disable FIQ
+  \details Disables FIQ interrupts by setting the F-bit in the CPSR.
+           Can only be executed in Privileged modes.
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __disable_fault_irq(void)
+{
+  __ASM volatile ("cpsid f" : : : "memory");
+}
+
+
+/**
+  \brief   Get Base Priority
+  \details Returns the current value of the Base Priority register.
+  \return               Base Priority register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_BASEPRI(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, basepri" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Base Priority
+  \details Assigns the given value to the Base Priority register.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_BASEPRI(uint32_t value)
+{
+  __ASM volatile ("MSR basepri, %0" : : "r" (value) : "memory");
+}
+
+
+/**
+  \brief   Set Base Priority with condition
+  \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled,
+           or the new value increases the BASEPRI priority level.
+  \param [in]    basePri  Base Priority value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_BASEPRI_MAX(uint32_t value)
+{
+  __ASM volatile ("MSR basepri_max, %0" : : "r" (value) : "memory");
+}
+
+
+/**
+  \brief   Get Fault Mask
+  \details Returns the current value of the Fault Mask register.
+  \return               Fault Mask register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FAULTMASK(void)
+{
+  uint32_t result;
+
+  __ASM volatile ("MRS %0, faultmask" : "=r" (result) );
+  return(result);
+}
+
+
+/**
+  \brief   Set Fault Mask
+  \details Assigns the given value to the Fault Mask register.
+  \param [in]    faultMask  Fault Mask value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask)
+{
+  __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory");
+}
+
+#endif /* (__CORTEX_M >= 0x03U) */
+
+
+#if       (__CORTEX_M == 0x04U) || (__CORTEX_M == 0x07U)
+
+/**
+  \brief   Get FPSCR
+  \details Returns the current value of the Floating Point Status/Control register.
+  \return               Floating Point Status/Control register value
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __get_FPSCR(void)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  uint32_t result;
+
+  /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("");
+  __ASM volatile ("VMRS %0, fpscr" : "=r" (result) );
+  __ASM volatile ("");
+  return(result);
+#else
+   return(0);
+#endif
+}
+
+
+/**
+  \brief   Set FPSCR
+  \details Assigns the given value to the Floating Point Status/Control register.
+  \param [in]    fpscr  Floating Point Status/Control value to set
+ */
+__attribute__( ( always_inline ) ) __STATIC_INLINE void __set_FPSCR(uint32_t fpscr)
+{
+#if (__FPU_PRESENT == 1U) && (__FPU_USED == 1U)
+  /* Empty asm statement works as a scheduling barrier */
+  __ASM volatile ("");
+  __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc");
+  __ASM volatile ("");
+#endif
+}
+
+#endif /* (__CORTEX_M == 0x04U) || (__CORTEX_M == 0x07U) */
+
+
+
+/*@} end of CMSIS_Core_RegAccFunctions */
+
+
+/* ##########################  Core Instruction Access  ######################### */
+/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
+  Access to dedicated instructions
+  @{
+*/
+
+/* Define macros for porting to both thumb1 and thumb2.
+ * For thumb1, use low register (r0-r7), specified by constraint "l"
+ * Otherwise, use general registers, specified by constraint "r" */
+#if defined (__thumb__) && !defined (__thumb2__)
+#define __CMSIS_GCC_OUT_REG(r) "=l" (r)
+#define __CMSIS_GCC_USE_REG(r) "l" (r)
+#else
+#define __CMSIS_GCC_OUT_REG(r) "=r" (r)
+#define __CMSIS_GCC_USE_REG(r) "r" (r)
+#endif
+
+/**
+  \brief   No Operation
+  \details No Operation does nothing. This instruction can be used for code alignment purposes.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __NOP(void)
+{
+  __ASM volatile ("nop");
+}
+
+
+/**
+  \brief   Wait For Interrupt
+  \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __WFI(void)
+{
+  __ASM volatile ("wfi");
+}
+
+
+/**
+  \brief   Wait For Event
+  \details Wait For Event is a hint instruction that permits the processor to enter
+    a low-power state until one of a number of events occurs.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __WFE(void)
+{
+  __ASM volatile ("wfe");
+}
+
+
+/**
+  \brief   Send Event
+  \details Send Event is a hint instruction. It causes an event to be signaled to the CPU.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __SEV(void)
+{
+  __ASM volatile ("sev");
+}
+
+
+/**
+  \brief   Instruction Synchronization Barrier
+  \details Instruction Synchronization Barrier flushes the pipeline in the processor,
+           so that all instructions following the ISB are fetched from cache or memory,
+           after the instruction has been completed.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __ISB(void)
+{
+  __ASM volatile ("isb 0xF":::"memory");
+}
+
+
+/**
+  \brief   Data Synchronization Barrier
+  \details Acts as a special kind of Data Memory Barrier.
+           It completes when all explicit memory accesses before this instruction complete.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __DSB(void)
+{
+  __ASM volatile ("dsb 0xF":::"memory");
+}
+
+
+/**
+  \brief   Data Memory Barrier
+  \details Ensures the apparent order of the explicit memory operations before
+           and after the instruction, without ensuring their completion.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __DMB(void)
+{
+  __ASM volatile ("dmb 0xF":::"memory");
+}
+
+
+/**
+  \brief   Reverse byte order (32 bit)
+  \details Reverses the byte order in integer value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __REV(uint32_t value)
+{
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5)
+  return __builtin_bswap32(value);
+#else
+  uint32_t result;
+
+  __ASM volatile ("rev %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+#endif
+}
+
+
+/**
+  \brief   Reverse byte order (16 bit)
+  \details Reverses the byte order in two unsigned short values.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __REV16(uint32_t value)
+{
+  uint32_t result;
+
+  __ASM volatile ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+}
+
+
+/**
+  \brief   Reverse byte order in signed short value
+  \details Reverses the byte order in a signed short value with sign extension to integer.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+__attribute__((always_inline)) __STATIC_INLINE int32_t __REVSH(int32_t value)
+{
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
+  return (short)__builtin_bswap16(value);
+#else
+  int32_t result;
+
+  __ASM volatile ("revsh %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+#endif
+}
+
+
+/**
+  \brief   Rotate Right in unsigned value (32 bit)
+  \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
+  \param [in]    value  Value to rotate
+  \param [in]    value  Number of Bits to rotate
+  \return               Rotated value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
+{
+  return (op1 >> op2) | (op1 << (32U - op2));
+}
+
+
+/**
+  \brief   Breakpoint
+  \details Causes the processor to enter Debug state.
+           Debug tools can use this to investigate system state when the instruction at a particular address is reached.
+  \param [in]    value  is ignored by the processor.
+                 If required, a debugger can use it to store additional information about the breakpoint.
+ */
+#define __BKPT(value)                       __ASM volatile ("bkpt "#value)
+
+
+/**
+  \brief   Reverse bit order of value
+  \details Reverses the bit order of the given value.
+  \param [in]    value  Value to reverse
+  \return               Reversed value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value)
+{
+  uint32_t result;
+
+#if       (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U)
+   __ASM volatile ("rbit %0, %1" : "=r" (result) : "r" (value) );
+#else
+  int32_t s = 4 /*sizeof(v)*/ * 8 - 1; /* extra shift needed at end */
+
+  result = value;                      /* r will be reversed bits of v; first get LSB of v */
+  for (value >>= 1U; value; value >>= 1U)
+  {
+    result <<= 1U;
+    result |= value & 1U;
+    s--;
+  }
+  result <<= s;                        /* shift when v's highest bits are zero */
+#endif
+  return(result);
+}
+
+
+/**
+  \brief   Count leading zeros
+  \details Counts the number of leading zeros of a data value.
+  \param [in]  value  Value to count the leading zeros
+  \return             number of leading zeros in value
+ */
+#define __CLZ             __builtin_clz
+
+
+#if       (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U)
+
+/**
+  \brief   LDR Exclusive (8 bit)
+  \details Executes a exclusive LDR instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDREXB(volatile uint8_t *addr)
+{
+    uint32_t result;
+
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
+   __ASM volatile ("ldrexb %0, %1" : "=r" (result) : "Q" (*addr) );
+#else
+    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
+       accepted by assembler. So has to use following less efficient pattern.
+    */
+   __ASM volatile ("ldrexb %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
+#endif
+   return ((uint8_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDR Exclusive (16 bit)
+  \details Executes a exclusive LDR instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDREXH(volatile uint16_t *addr)
+{
+    uint32_t result;
+
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
+   __ASM volatile ("ldrexh %0, %1" : "=r" (result) : "Q" (*addr) );
+#else
+    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
+       accepted by assembler. So has to use following less efficient pattern.
+    */
+   __ASM volatile ("ldrexh %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
+#endif
+   return ((uint16_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDR Exclusive (32 bit)
+  \details Executes a exclusive LDR instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDREXW(volatile uint32_t *addr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldrex %0, %1" : "=r" (result) : "Q" (*addr) );
+   return(result);
+}
+
+
+/**
+  \brief   STR Exclusive (8 bit)
+  \details Executes a exclusive STR instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr)
+{
+   uint32_t result;
+
+   __ASM volatile ("strexb %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) );
+   return(result);
+}
+
+
+/**
+  \brief   STR Exclusive (16 bit)
+  \details Executes a exclusive STR instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr)
+{
+   uint32_t result;
+
+   __ASM volatile ("strexh %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) );
+   return(result);
+}
+
+
+/**
+  \brief   STR Exclusive (32 bit)
+  \details Executes a exclusive STR instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+  \return          0  Function succeeded
+  \return          1  Function failed
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr)
+{
+   uint32_t result;
+
+   __ASM volatile ("strex %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" (value) );
+   return(result);
+}
+
+
+/**
+  \brief   Remove the exclusive lock
+  \details Removes the exclusive lock which is created by LDREX.
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __CLREX(void)
+{
+  __ASM volatile ("clrex" ::: "memory");
+}
+
+
+/**
+  \brief   Signed Saturate
+  \details Saturates a signed value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (1..32)
+  \return             Saturated value
+ */
+#define __SSAT(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("ssat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+
+/**
+  \brief   Unsigned Saturate
+  \details Saturates an unsigned value.
+  \param [in]  value  Value to be saturated
+  \param [in]    sat  Bit position to saturate to (0..31)
+  \return             Saturated value
+ */
+#define __USAT(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("usat %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+
+/**
+  \brief   Rotate Right with Extend (32 bit)
+  \details Moves each bit of a bitstring right by one bit.
+           The carry input is shifted in at the left end of the bitstring.
+  \param [in]    value  Value to rotate
+  \return               Rotated value
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __RRX(uint32_t value)
+{
+  uint32_t result;
+
+  __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) );
+  return(result);
+}
+
+
+/**
+  \brief   LDRT Unprivileged (8 bit)
+  \details Executes a Unprivileged LDRT instruction for 8 bit value.
+  \param [in]    ptr  Pointer to data
+  \return             value of type uint8_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint8_t __LDRBT(volatile uint8_t *addr)
+{
+    uint32_t result;
+
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
+   __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*addr) );
+#else
+    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
+       accepted by assembler. So has to use following less efficient pattern.
+    */
+   __ASM volatile ("ldrbt %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
+#endif
+   return ((uint8_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDRT Unprivileged (16 bit)
+  \details Executes a Unprivileged LDRT instruction for 16 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint16_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint16_t __LDRHT(volatile uint16_t *addr)
+{
+    uint32_t result;
+
+#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8)
+   __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*addr) );
+#else
+    /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not
+       accepted by assembler. So has to use following less efficient pattern.
+    */
+   __ASM volatile ("ldrht %0, [%1]" : "=r" (result) : "r" (addr) : "memory" );
+#endif
+   return ((uint16_t) result);    /* Add explicit type cast here */
+}
+
+
+/**
+  \brief   LDRT Unprivileged (32 bit)
+  \details Executes a Unprivileged LDRT instruction for 32 bit values.
+  \param [in]    ptr  Pointer to data
+  \return        value of type uint32_t at (*ptr)
+ */
+__attribute__((always_inline)) __STATIC_INLINE uint32_t __LDRT(volatile uint32_t *addr)
+{
+    uint32_t result;
+
+   __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*addr) );
+   return(result);
+}
+
+
+/**
+  \brief   STRT Unprivileged (8 bit)
+  \details Executes a Unprivileged STRT instruction for 8 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRBT(uint8_t value, volatile uint8_t *addr)
+{
+   __ASM volatile ("strbt %1, %0" : "=Q" (*addr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   STRT Unprivileged (16 bit)
+  \details Executes a Unprivileged STRT instruction for 16 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRHT(uint16_t value, volatile uint16_t *addr)
+{
+   __ASM volatile ("strht %1, %0" : "=Q" (*addr) : "r" ((uint32_t)value) );
+}
+
+
+/**
+  \brief   STRT Unprivileged (32 bit)
+  \details Executes a Unprivileged STRT instruction for 32 bit values.
+  \param [in]  value  Value to store
+  \param [in]    ptr  Pointer to location
+ */
+__attribute__((always_inline)) __STATIC_INLINE void __STRT(uint32_t value, volatile uint32_t *addr)
+{
+   __ASM volatile ("strt %1, %0" : "=Q" (*addr) : "r" (value) );
+}
+
+#endif /* (__CORTEX_M >= 0x03U) || (__CORTEX_SC >= 300U) */
+
+/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
+
+
+/* ###################  Compiler specific Intrinsics  ########################### */
+/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
+  Access to dedicated SIMD instructions
+  @{
+*/
+
+#if (__CORTEX_M >= 0x04U)  /* only for Cortex-M4 and above */
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHASX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __QSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USAD8(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+#define __SSAT16(ARG1,ARG2) \
+({                          \
+  int32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("ssat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+#define __USAT16(ARG1,ARG2) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1); \
+  __ASM ("usat16 %0, %1, %2" : "=r" (__RES) :  "I" (ARG2), "r" (__ARG1) ); \
+  __RES; \
+ })
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTB16(uint32_t op1)
+{
+  uint32_t result;
+
+  __ASM volatile ("uxtb16 %0, %1" : "=r" (result) : "r" (op1));
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTB16(uint32_t op1)
+{
+  uint32_t result;
+
+  __ASM volatile ("sxtb16 %0, %1" : "=r" (result) : "r" (op1));
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUAD  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSD  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3)
+{
+  uint32_t result;
+
+  __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc)
+{
+  union llreg_u{
+    uint32_t w32[2];
+    uint64_t w64;
+  } llr;
+  llr.w64 = acc;
+
+#ifndef __ARMEB__   /* Little endian */
+  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) );
+#else               /* Big endian */
+  __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) );
+#endif
+
+  return(llr.w64);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SEL  (uint32_t op1, uint32_t op2)
+{
+  uint32_t result;
+
+  __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE  int32_t __QADD( int32_t op1,  int32_t op2)
+{
+  int32_t result;
+
+  __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE  int32_t __QSUB( int32_t op1,  int32_t op2)
+{
+  int32_t result;
+
+  __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) );
+  return(result);
+}
+
+#define __PKHBT(ARG1,ARG2,ARG3) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
+  __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
+  __RES; \
+ })
+
+#define __PKHTB(ARG1,ARG2,ARG3) \
+({                          \
+  uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \
+  if (ARG3 == 0) \
+    __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2)  ); \
+  else \
+    __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) :  "r" (__ARG1), "r" (__ARG2), "I" (ARG3)  ); \
+  __RES; \
+ })
+
+__attribute__( ( always_inline ) ) __STATIC_INLINE uint32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3)
+{
+ int32_t result;
+
+ __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r"  (op1), "r" (op2), "r" (op3) );
+ return(result);
+}
+
+#endif /* (__CORTEX_M >= 0x04) */
+/*@} end of group CMSIS_SIMD_intrinsics */
+
+
+#if defined ( __GNUC__ )
+#pragma GCC diagnostic pop
+#endif
+
+#endif /* __CMSIS_GCC_H */
diff --git a/Include/core_cm0.h b/Include/core_cm0.h
new file mode 100644
index 0000000..711dad5
--- /dev/null
+++ b/Include/core_cm0.h
@@ -0,0 +1,798 @@
+/**************************************************************************//**
+ * @file     core_cm0.h
+ * @brief    CMSIS Cortex-M0 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CM0_H_GENERIC
+#define __CORE_CM0_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup Cortex_M0
+  @{
+ */
+
+/*  CMSIS CM0 definitions */
+#define __CM0_CMSIS_VERSION_MAIN  (0x04U)                                      /*!< [31:16] CMSIS HAL main version */
+#define __CM0_CMSIS_VERSION_SUB   (0x1EU)                                      /*!< [15:0]  CMSIS HAL sub version */
+#define __CM0_CMSIS_VERSION       ((__CM0_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM0_CMSIS_VERSION_SUB           )        /*!< CMSIS HAL version number */
+
+#define __CORTEX_M                (0x00U)                                      /*!< Cortex-M Core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    This core does not support an FPU at all
+*/
+#define __FPU_USED       0U
+
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM0_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_CM0_H_DEPENDANT
+#define __CORE_CM0_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __CM0_REV
+    #define __CM0_REV               0x0000U
+    #warning "__CM0_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          2U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group Cortex_M0 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:1;               /*!< bit:      0  Reserved */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
+}  NVIC_Type;
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+        uint32_t RESERVED0;
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED1;
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Cortex-M0 Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the Cortex-M0 header file.
+  @{
+ */
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M0 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+/* The following MACROS handle generation of the register offset and byte masks */
+#define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
+#define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
+#define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                 SCB_AIRCR_SYSRESETREQ_Msk);
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM0_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_cm0plus.h b/Include/core_cm0plus.h
new file mode 100644
index 0000000..b04aa39
--- /dev/null
+++ b/Include/core_cm0plus.h
@@ -0,0 +1,914 @@
+/**************************************************************************//**
+ * @file     core_cm0plus.h
+ * @brief    CMSIS Cortex-M0+ Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CM0PLUS_H_GENERIC
+#define __CORE_CM0PLUS_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup Cortex-M0+
+  @{
+ */
+
+/*  CMSIS CM0+ definitions */
+#define __CM0PLUS_CMSIS_VERSION_MAIN (0x04U)                                   /*!< [31:16] CMSIS HAL main version */
+#define __CM0PLUS_CMSIS_VERSION_SUB  (0x1EU)                                   /*!< [15:0]  CMSIS HAL sub version */
+#define __CM0PLUS_CMSIS_VERSION      ((__CM0PLUS_CMSIS_VERSION_MAIN << 16U) | \
+                                       __CM0PLUS_CMSIS_VERSION_SUB           ) /*!< CMSIS HAL version number */
+
+#define __CORTEX_M                (0x00U)                                      /*!< Cortex-M Core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    This core does not support an FPU at all
+*/
+#define __FPU_USED       0U
+
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM0PLUS_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_CM0PLUS_H_DEPENDANT
+#define __CORE_CM0PLUS_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __CM0PLUS_REV
+    #define __CM0PLUS_REV             0x0000U
+    #warning "__CM0PLUS_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __VTOR_PRESENT
+    #define __VTOR_PRESENT            0U
+    #warning "__VTOR_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          2U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group Cortex-M0+ */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core MPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
+}  NVIC_Type;
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+#if (__VTOR_PRESENT == 1U)
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+#else
+        uint32_t RESERVED0;
+#endif
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED1;
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+#if (__VTOR_PRESENT == 1U)
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_VTOR_TBLOFF_Pos                 8U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0xFFFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
+#endif
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   8U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0xFFFFFFUL << MPU_RBAR_ADDR_Pos)              /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Cortex-M0+ Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the Cortex-M0+ header file.
+  @{
+ */
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M0+ Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+/* The following MACROS handle generation of the register offset and byte masks */
+#define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
+#define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
+#define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                 SCB_AIRCR_SYSRESETREQ_Msk);
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM0PLUS_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_cm3.h b/Include/core_cm3.h
new file mode 100644
index 0000000..b4ac4c7
--- /dev/null
+++ b/Include/core_cm3.h
@@ -0,0 +1,1763 @@
+/**************************************************************************//**
+ * @file     core_cm3.h
+ * @brief    CMSIS Cortex-M3 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CM3_H_GENERIC
+#define __CORE_CM3_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup Cortex_M3
+  @{
+ */
+
+/*  CMSIS CM3 definitions */
+#define __CM3_CMSIS_VERSION_MAIN  (0x04U)                                      /*!< [31:16] CMSIS HAL main version */
+#define __CM3_CMSIS_VERSION_SUB   (0x1EU)                                      /*!< [15:0]  CMSIS HAL sub version */
+#define __CM3_CMSIS_VERSION       ((__CM3_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM3_CMSIS_VERSION_SUB           )        /*!< CMSIS HAL version number */
+
+#define __CORTEX_M                (0x03U)                                      /*!< Cortex-M Core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    This core does not support an FPU at all
+*/
+#define __FPU_USED       0U
+
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM3_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_CM3_H_DEPENDANT
+#define __CORE_CM3_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __CM3_REV
+    #define __CM3_REV               0x0200U
+    #warning "__CM3_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          4U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group Cortex_M3 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core Debug Register
+  - Core MPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
+#define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0) */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
+#define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
+
+#define xPSR_IT_Pos                        25U                                            /*!< xPSR: IT Position */
+#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
+}  NVIC_Type;
+
+/* Software Triggered Interrupt Register Definitions */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Vector Table Offset Register Definitions */
+#if (__CM3_REV < 0x0201U)                   /* core r2p1 */
+#define SCB_VTOR_TBLBASE_Pos               29U                                            /*!< SCB VTOR: TBLBASE Position */
+#define SCB_VTOR_TBLBASE_Msk               (1UL << SCB_VTOR_TBLBASE_Pos)                  /*!< SCB VTOR: TBLBASE Mask */
+
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x3FFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
+#else
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
+#endif
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
+
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
+
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
+
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
+
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
+
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
+
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
+
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
+
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
+
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
+
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
+
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
+
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
+
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
+
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
+
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
+#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
+
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
+
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
+#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
+
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
+
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
+
+/* SCB Debug Fault Status Register Definitions */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
+
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
+
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
+
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
+
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+#if ((defined __CM3_REV) && (__CM3_REV >= 0x200U))
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
+#else
+        uint32_t RESERVED1[1U];
+#endif
+} SCnSCB_Type;
+
+/* Interrupt Controller Type Register Definitions */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
+
+/* Auxiliary Control Register Definitions */
+
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
+
+#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1U                                         /*!< ACTLR: DISDEFWBUF Position */
+#define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
+
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
+
+/*@} end of group CMSIS_SCnotSCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+ */
+typedef struct
+{
+  __OM  union
+  {
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+} ITM_Type;
+
+/* ITM Trace Privilege Register Definitions */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+
+/* ITM Trace Control Register Definitions */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
+
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
+
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
+
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
+
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
+
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
+
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
+
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
+
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
+
+/* ITM Integration Write Register Definitions */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
+
+/* ITM Integration Read Register Definitions */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
+
+/* ITM Integration Mode Control Register Definitions */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
+
+/* ITM Lock Status Register Definitions */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
+
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
+
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
+
+/*@}*/ /* end of group CMSIS_ITM */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
+} DWT_Type;
+
+/* DWT Control Register Definitions */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
+
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
+
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
+
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
+
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
+
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
+
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
+
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
+
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
+
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
+
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
+
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
+
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
+
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
+
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
+
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
+
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
+
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
+
+/* DWT CPI Count Register Definitions */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
+
+/* DWT Exception Overhead Count Register Definitions */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
+
+/* DWT Sleep Count Register Definitions */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
+
+/* DWT LSU Count Register Definitions */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
+
+/* DWT Folded-instruction Count Register Definitions */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
+
+/* DWT Comparator Mask Register Definitions */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
+
+/* DWT Comparator Function Register Definitions */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
+
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
+
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
+
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
+
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
+
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
+
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
+
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
+
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
+
+/*@}*/ /* end of group CMSIS_DWT */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
+ */
+typedef struct
+{
+  __IOM uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+} TPI_Type;
+
+/* TPI Asynchronous Clock Prescaler Register Definitions */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
+
+/* TPI Selected Pin Protocol Register Definitions */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
+
+/* TPI Formatter and Flush Status Register Definitions */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
+
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
+
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
+
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
+
+/* TPI Formatter and Flush Control Register Definitions */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
+
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
+
+/* TPI TRIGGER Register Definitions */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
+
+/* TPI Integration ETM Data Register Definitions (FIFO0) */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
+
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
+
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
+
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
+
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
+
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
+
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
+
+/* TPI ITATBCTR2 Register Definitions */
+#define TPI_ITATBCTR2_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR2: ATREADY Position */
+#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+
+/* TPI Integration ITM Data Register Definitions (FIFO1) */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
+
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
+
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
+
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
+
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
+
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
+
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
+
+/* TPI ITATBCTR0 Register Definitions */
+#define TPI_ITATBCTR0_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR0: ATREADY Position */
+#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+
+/* TPI Integration Mode Control Register Definitions */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+
+/* TPI DEVID Register Definitions */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
+
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
+
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
+
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
+
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
+
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
+
+/* TPI DEVTYPE Register Definitions */
+#define TPI_DEVTYPE_MajorType_Pos           4U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
+#define TPI_DEVTYPE_SubType_Pos             0U                                         /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
+
+/*@}*/ /* end of group CMSIS_TPI */
+
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
+ */
+typedef struct
+{
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+} CoreDebug_Type;
+
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
+#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
+
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
+
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
+
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
+
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
+
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
+
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
+
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
+
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
+
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
+
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
+
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
+
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
+#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
+
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
+
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
+#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
+
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
+
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
+
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
+
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
+
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
+
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
+
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
+
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
+
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
+
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
+
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
+
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
+
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M3 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Debug Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
+ */
+__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+{
+  uint32_t reg_value;
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
+
+  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
+  reg_value  =  (reg_value                                   |
+                ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                (PriorityGroupTmp << 8U)                      );              /* Insert write key and priorty group */
+  SCB->AIRCR =  reg_value;
+}
+
+
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+{
+  return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
+}
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in NVIC and returns the active bit.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+ */
+__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
+
+
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
+ */
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = (uint32_t)((0x5FAUL << SCB_AIRCR_VECTKEY_Pos)    |
+                           (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
+                            SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+/* ##################################### Debug In/Output function ########################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
+  @{
+ */
+
+extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY   0x5AA55AA5U /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
+
+
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
+ */
+__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
+{
+  if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
+      ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
+  {
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
+  }
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
+ */
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
+  int32_t ch = -1;                           /* no character available */
+
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
+    ch = ITM_RxBuffer;
+    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
+  }
+
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
+ */
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
+
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
+  }
+}
+
+/*@} end of CMSIS_core_DebugFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM3_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_cm4.h b/Include/core_cm4.h
new file mode 100644
index 0000000..dc840eb
--- /dev/null
+++ b/Include/core_cm4.h
@@ -0,0 +1,1937 @@
+/**************************************************************************//**
+ * @file     core_cm4.h
+ * @brief    CMSIS Cortex-M4 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CM4_H_GENERIC
+#define __CORE_CM4_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup Cortex_M4
+  @{
+ */
+
+/*  CMSIS CM4 definitions */
+#define __CM4_CMSIS_VERSION_MAIN  (0x04U)                                      /*!< [31:16] CMSIS HAL main version */
+#define __CM4_CMSIS_VERSION_SUB   (0x1EU)                                      /*!< [15:0]  CMSIS HAL sub version */
+#define __CM4_CMSIS_VERSION       ((__CM4_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM4_CMSIS_VERSION_SUB           )        /*!< CMSIS HAL version number */
+
+#define __CORTEX_M                (0x04U)                                      /*!< Cortex-M Core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions.
+*/
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #if (__FPU_PRESENT == 1)
+      #define __FPU_USED       1U
+    #else
+      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+#include "core_cmSimd.h"                 /* Compiler specific SIMD Intrinsics */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM4_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_CM4_H_DEPENDANT
+#define __CORE_CM4_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __CM4_REV
+    #define __CM4_REV               0x0000U
+    #warning "__CM4_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __FPU_PRESENT
+    #define __FPU_PRESENT             0U
+    #warning "__FPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          4U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group Cortex_M4 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core Debug Register
+  - Core MPU Register
+  - Core FPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
+#define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
+
+#define APSR_GE_Pos                        16U                                            /*!< APSR: GE Position */
+#define APSR_GE_Msk                        (0xFUL << APSR_GE_Pos)                         /*!< APSR: GE Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0) */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
+#define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
+
+#define xPSR_IT_Pos                        25U                                            /*!< xPSR: IT Position */
+#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_GE_Pos                        16U                                            /*!< xPSR: GE Position */
+#define xPSR_GE_Msk                        (0xFUL << xPSR_GE_Pos)                         /*!< xPSR: GE Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag */
+    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_FPCA_Pos                    2U                                            /*!< CONTROL: FPCA Position */
+#define CONTROL_FPCA_Msk                   (1UL << CONTROL_FPCA_Pos)                      /*!< CONTROL: FPCA Mask */
+
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
+}  NVIC_Type;
+
+/* Software Triggered Interrupt Register Definitions */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Vector Table Offset Register Definitions */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
+
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
+
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
+
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
+
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
+
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
+
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
+
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
+
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
+
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
+
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
+
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
+
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
+
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
+
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
+
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
+#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
+
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
+
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
+#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
+
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
+
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
+
+/* SCB Debug Fault Status Register Definitions */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
+
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
+
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
+
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
+
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
+} SCnSCB_Type;
+
+/* Interrupt Controller Type Register Definitions */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
+
+/* Auxiliary Control Register Definitions */
+#define SCnSCB_ACTLR_DISOOFP_Pos            9U                                         /*!< ACTLR: DISOOFP Position */
+#define SCnSCB_ACTLR_DISOOFP_Msk           (1UL << SCnSCB_ACTLR_DISOOFP_Pos)           /*!< ACTLR: DISOOFP Mask */
+
+#define SCnSCB_ACTLR_DISFPCA_Pos            8U                                         /*!< ACTLR: DISFPCA Position */
+#define SCnSCB_ACTLR_DISFPCA_Msk           (1UL << SCnSCB_ACTLR_DISFPCA_Pos)           /*!< ACTLR: DISFPCA Mask */
+
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
+
+#define SCnSCB_ACTLR_DISDEFWBUF_Pos         1U                                         /*!< ACTLR: DISDEFWBUF Position */
+#define SCnSCB_ACTLR_DISDEFWBUF_Msk        (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos)        /*!< ACTLR: DISDEFWBUF Mask */
+
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
+
+/*@} end of group CMSIS_SCnotSCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+ */
+typedef struct
+{
+  __OM  union
+  {
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+} ITM_Type;
+
+/* ITM Trace Privilege Register Definitions */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+
+/* ITM Trace Control Register Definitions */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
+
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
+
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
+
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
+
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
+
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
+
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
+
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
+
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
+
+/* ITM Integration Write Register Definitions */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
+
+/* ITM Integration Read Register Definitions */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
+
+/* ITM Integration Mode Control Register Definitions */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
+
+/* ITM Lock Status Register Definitions */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
+
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
+
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
+
+/*@}*/ /* end of group CMSIS_ITM */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
+} DWT_Type;
+
+/* DWT Control Register Definitions */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
+
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
+
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
+
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
+
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
+
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
+
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
+
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
+
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
+
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
+
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
+
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
+
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
+
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
+
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
+
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
+
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
+
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
+
+/* DWT CPI Count Register Definitions */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
+
+/* DWT Exception Overhead Count Register Definitions */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
+
+/* DWT Sleep Count Register Definitions */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
+
+/* DWT LSU Count Register Definitions */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
+
+/* DWT Folded-instruction Count Register Definitions */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
+
+/* DWT Comparator Mask Register Definitions */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
+
+/* DWT Comparator Function Register Definitions */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
+
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
+
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
+
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
+
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
+
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
+
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
+
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
+
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
+
+/*@}*/ /* end of group CMSIS_DWT */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
+ */
+typedef struct
+{
+  __IOM uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+} TPI_Type;
+
+/* TPI Asynchronous Clock Prescaler Register Definitions */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
+
+/* TPI Selected Pin Protocol Register Definitions */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
+
+/* TPI Formatter and Flush Status Register Definitions */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
+
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
+
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
+
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
+
+/* TPI Formatter and Flush Control Register Definitions */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
+
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
+
+/* TPI TRIGGER Register Definitions */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
+
+/* TPI Integration ETM Data Register Definitions (FIFO0) */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
+
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
+
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
+
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
+
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
+
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
+
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
+
+/* TPI ITATBCTR2 Register Definitions */
+#define TPI_ITATBCTR2_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR2: ATREADY Position */
+#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+
+/* TPI Integration ITM Data Register Definitions (FIFO1) */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
+
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
+
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
+
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
+
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
+
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
+
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
+
+/* TPI ITATBCTR0 Register Definitions */
+#define TPI_ITATBCTR0_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR0: ATREADY Position */
+#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+
+/* TPI Integration Mode Control Register Definitions */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+
+/* TPI DEVID Register Definitions */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
+
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
+
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
+
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
+
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
+
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
+
+/* TPI DEVTYPE Register Definitions */
+#define TPI_DEVTYPE_MajorType_Pos           4U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
+#define TPI_DEVTYPE_SubType_Pos             0U                                         /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
+
+/*@}*/ /* end of group CMSIS_TPI */
+
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+#if (__FPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_FPU     Floating Point Unit (FPU)
+  \brief    Type definitions for the Floating Point Unit (FPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Floating Point Unit (FPU).
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t FPCCR;                  /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register */
+  __IOM uint32_t FPCAR;                  /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register */
+  __IOM uint32_t FPDSCR;                 /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register */
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1 */
+} FPU_Type;
+
+/* Floating-Point Context Control Register Definitions */
+#define FPU_FPCCR_ASPEN_Pos                31U                                            /*!< FPCCR: ASPEN bit Position */
+#define FPU_FPCCR_ASPEN_Msk                (1UL << FPU_FPCCR_ASPEN_Pos)                   /*!< FPCCR: ASPEN bit Mask */
+
+#define FPU_FPCCR_LSPEN_Pos                30U                                            /*!< FPCCR: LSPEN Position */
+#define FPU_FPCCR_LSPEN_Msk                (1UL << FPU_FPCCR_LSPEN_Pos)                   /*!< FPCCR: LSPEN bit Mask */
+
+#define FPU_FPCCR_MONRDY_Pos                8U                                            /*!< FPCCR: MONRDY Position */
+#define FPU_FPCCR_MONRDY_Msk               (1UL << FPU_FPCCR_MONRDY_Pos)                  /*!< FPCCR: MONRDY bit Mask */
+
+#define FPU_FPCCR_BFRDY_Pos                 6U                                            /*!< FPCCR: BFRDY Position */
+#define FPU_FPCCR_BFRDY_Msk                (1UL << FPU_FPCCR_BFRDY_Pos)                   /*!< FPCCR: BFRDY bit Mask */
+
+#define FPU_FPCCR_MMRDY_Pos                 5U                                            /*!< FPCCR: MMRDY Position */
+#define FPU_FPCCR_MMRDY_Msk                (1UL << FPU_FPCCR_MMRDY_Pos)                   /*!< FPCCR: MMRDY bit Mask */
+
+#define FPU_FPCCR_HFRDY_Pos                 4U                                            /*!< FPCCR: HFRDY Position */
+#define FPU_FPCCR_HFRDY_Msk                (1UL << FPU_FPCCR_HFRDY_Pos)                   /*!< FPCCR: HFRDY bit Mask */
+
+#define FPU_FPCCR_THREAD_Pos                3U                                            /*!< FPCCR: processor mode bit Position */
+#define FPU_FPCCR_THREAD_Msk               (1UL << FPU_FPCCR_THREAD_Pos)                  /*!< FPCCR: processor mode active bit Mask */
+
+#define FPU_FPCCR_USER_Pos                  1U                                            /*!< FPCCR: privilege level bit Position */
+#define FPU_FPCCR_USER_Msk                 (1UL << FPU_FPCCR_USER_Pos)                    /*!< FPCCR: privilege level bit Mask */
+
+#define FPU_FPCCR_LSPACT_Pos                0U                                            /*!< FPCCR: Lazy state preservation active bit Position */
+#define FPU_FPCCR_LSPACT_Msk               (1UL /*<< FPU_FPCCR_LSPACT_Pos*/)              /*!< FPCCR: Lazy state preservation active bit Mask */
+
+/* Floating-Point Context Address Register Definitions */
+#define FPU_FPCAR_ADDRESS_Pos               3U                                            /*!< FPCAR: ADDRESS bit Position */
+#define FPU_FPCAR_ADDRESS_Msk              (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos)        /*!< FPCAR: ADDRESS bit Mask */
+
+/* Floating-Point Default Status Control Register Definitions */
+#define FPU_FPDSCR_AHP_Pos                 26U                                            /*!< FPDSCR: AHP bit Position */
+#define FPU_FPDSCR_AHP_Msk                 (1UL << FPU_FPDSCR_AHP_Pos)                    /*!< FPDSCR: AHP bit Mask */
+
+#define FPU_FPDSCR_DN_Pos                  25U                                            /*!< FPDSCR: DN bit Position */
+#define FPU_FPDSCR_DN_Msk                  (1UL << FPU_FPDSCR_DN_Pos)                     /*!< FPDSCR: DN bit Mask */
+
+#define FPU_FPDSCR_FZ_Pos                  24U                                            /*!< FPDSCR: FZ bit Position */
+#define FPU_FPDSCR_FZ_Msk                  (1UL << FPU_FPDSCR_FZ_Pos)                     /*!< FPDSCR: FZ bit Mask */
+
+#define FPU_FPDSCR_RMode_Pos               22U                                            /*!< FPDSCR: RMode bit Position */
+#define FPU_FPDSCR_RMode_Msk               (3UL << FPU_FPDSCR_RMode_Pos)                  /*!< FPDSCR: RMode bit Mask */
+
+/* Media and FP Feature Register 0 Definitions */
+#define FPU_MVFR0_FP_rounding_modes_Pos    28U                                            /*!< MVFR0: FP rounding modes bits Position */
+#define FPU_MVFR0_FP_rounding_modes_Msk    (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos)     /*!< MVFR0: FP rounding modes bits Mask */
+
+#define FPU_MVFR0_Short_vectors_Pos        24U                                            /*!< MVFR0: Short vectors bits Position */
+#define FPU_MVFR0_Short_vectors_Msk        (0xFUL << FPU_MVFR0_Short_vectors_Pos)         /*!< MVFR0: Short vectors bits Mask */
+
+#define FPU_MVFR0_Square_root_Pos          20U                                            /*!< MVFR0: Square root bits Position */
+#define FPU_MVFR0_Square_root_Msk          (0xFUL << FPU_MVFR0_Square_root_Pos)           /*!< MVFR0: Square root bits Mask */
+
+#define FPU_MVFR0_Divide_Pos               16U                                            /*!< MVFR0: Divide bits Position */
+#define FPU_MVFR0_Divide_Msk               (0xFUL << FPU_MVFR0_Divide_Pos)                /*!< MVFR0: Divide bits Mask */
+
+#define FPU_MVFR0_FP_excep_trapping_Pos    12U                                            /*!< MVFR0: FP exception trapping bits Position */
+#define FPU_MVFR0_FP_excep_trapping_Msk    (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos)     /*!< MVFR0: FP exception trapping bits Mask */
+
+#define FPU_MVFR0_Double_precision_Pos      8U                                            /*!< MVFR0: Double-precision bits Position */
+#define FPU_MVFR0_Double_precision_Msk     (0xFUL << FPU_MVFR0_Double_precision_Pos)      /*!< MVFR0: Double-precision bits Mask */
+
+#define FPU_MVFR0_Single_precision_Pos      4U                                            /*!< MVFR0: Single-precision bits Position */
+#define FPU_MVFR0_Single_precision_Msk     (0xFUL << FPU_MVFR0_Single_precision_Pos)      /*!< MVFR0: Single-precision bits Mask */
+
+#define FPU_MVFR0_A_SIMD_registers_Pos      0U                                            /*!< MVFR0: A_SIMD registers bits Position */
+#define FPU_MVFR0_A_SIMD_registers_Msk     (0xFUL /*<< FPU_MVFR0_A_SIMD_registers_Pos*/)  /*!< MVFR0: A_SIMD registers bits Mask */
+
+/* Media and FP Feature Register 1 Definitions */
+#define FPU_MVFR1_FP_fused_MAC_Pos         28U                                            /*!< MVFR1: FP fused MAC bits Position */
+#define FPU_MVFR1_FP_fused_MAC_Msk         (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos)          /*!< MVFR1: FP fused MAC bits Mask */
+
+#define FPU_MVFR1_FP_HPFP_Pos              24U                                            /*!< MVFR1: FP HPFP bits Position */
+#define FPU_MVFR1_FP_HPFP_Msk              (0xFUL << FPU_MVFR1_FP_HPFP_Pos)               /*!< MVFR1: FP HPFP bits Mask */
+
+#define FPU_MVFR1_D_NaN_mode_Pos            4U                                            /*!< MVFR1: D_NaN mode bits Position */
+#define FPU_MVFR1_D_NaN_mode_Msk           (0xFUL << FPU_MVFR1_D_NaN_mode_Pos)            /*!< MVFR1: D_NaN mode bits Mask */
+
+#define FPU_MVFR1_FtZ_mode_Pos              0U                                            /*!< MVFR1: FtZ mode bits Position */
+#define FPU_MVFR1_FtZ_mode_Msk             (0xFUL /*<< FPU_MVFR1_FtZ_mode_Pos*/)          /*!< MVFR1: FtZ mode bits Mask */
+
+/*@} end of group CMSIS_FPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
+ */
+typedef struct
+{
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+} CoreDebug_Type;
+
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
+#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
+
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
+
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
+
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
+
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
+
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
+
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
+
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
+
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
+
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
+
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
+
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
+
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
+#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
+
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
+
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
+#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
+
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
+
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
+
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
+
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
+
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
+
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
+
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
+
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
+
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
+
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
+
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
+
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
+
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M4 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+#if (__FPU_PRESENT == 1U)
+  #define FPU_BASE          (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit */
+  #define FPU               ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Debug Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
+ */
+__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+{
+  uint32_t reg_value;
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
+
+  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
+  reg_value  =  (reg_value                                   |
+                ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                (PriorityGroupTmp << 8U)                      );              /* Insert write key and priorty group */
+  SCB->AIRCR =  reg_value;
+}
+
+
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+{
+  return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
+}
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in NVIC and returns the active bit.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+ */
+__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
+
+
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
+ */
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = (uint32_t)((0x5FAUL << SCB_AIRCR_VECTKEY_Pos)    |
+                           (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
+                            SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+/* ##################################### Debug In/Output function ########################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
+  @{
+ */
+
+extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY   0x5AA55AA5U /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
+
+
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
+ */
+__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
+{
+  if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
+      ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
+  {
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
+  }
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
+ */
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
+  int32_t ch = -1;                           /* no character available */
+
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
+    ch = ITM_RxBuffer;
+    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
+  }
+
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
+ */
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
+
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
+  }
+}
+
+/*@} end of CMSIS_core_DebugFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM4_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_cm7.h b/Include/core_cm7.h
new file mode 100644
index 0000000..3b7530a
--- /dev/null
+++ b/Include/core_cm7.h
@@ -0,0 +1,2512 @@
+/**************************************************************************//**
+ * @file     core_cm7.h
+ * @brief    CMSIS Cortex-M7 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CM7_H_GENERIC
+#define __CORE_CM7_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup Cortex_M7
+  @{
+ */
+
+/*  CMSIS CM7 definitions */
+#define __CM7_CMSIS_VERSION_MAIN  (0x04U)                                      /*!< [31:16] CMSIS HAL main version */
+#define __CM7_CMSIS_VERSION_SUB   (0x1EU)                                      /*!< [15:0]  CMSIS HAL sub version */
+#define __CM7_CMSIS_VERSION       ((__CM7_CMSIS_VERSION_MAIN << 16U) | \
+                                    __CM7_CMSIS_VERSION_SUB           )        /*!< CMSIS HAL version number */
+
+#define __CORTEX_M                (0x07U)                                      /*!< Cortex-M Core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions.
+*/
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #if (__FPU_PRESENT == 1)
+      #define __FPU_USED       1U
+    #else
+      #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #if (__FPU_PRESENT == 1U)
+      #define __FPU_USED       1U
+    #else
+      #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+      #define __FPU_USED       0U
+    #endif
+  #else
+    #define __FPU_USED         0U
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+#include "core_cmSimd.h"                 /* Compiler specific SIMD Intrinsics */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM7_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_CM7_H_DEPENDANT
+#define __CORE_CM7_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __CM7_REV
+    #define __CM7_REV               0x0000U
+    #warning "__CM7_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __FPU_PRESENT
+    #define __FPU_PRESENT             0U
+    #warning "__FPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __ICACHE_PRESENT
+    #define __ICACHE_PRESENT          0U
+    #warning "__ICACHE_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __DCACHE_PRESENT
+    #define __DCACHE_PRESENT          0U
+    #warning "__DCACHE_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __DTCM_PRESENT
+    #define __DTCM_PRESENT            0U
+    #warning "__DTCM_PRESENT        not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          3U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group Cortex_M7 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core Debug Register
+  - Core MPU Register
+  - Core FPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:16;              /*!< bit:  0..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:7;               /*!< bit: 20..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
+#define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
+
+#define APSR_GE_Pos                        16U                                            /*!< APSR: GE Position */
+#define APSR_GE_Msk                        (0xFUL << APSR_GE_Pos)                         /*!< APSR: GE Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:7;               /*!< bit:  9..15  Reserved */
+    uint32_t GE:4;                       /*!< bit: 16..19  Greater than or Equal flags */
+    uint32_t _reserved1:4;               /*!< bit: 20..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0) */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
+#define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
+
+#define xPSR_IT_Pos                        25U                                            /*!< xPSR: IT Position */
+#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_GE_Pos                        16U                                            /*!< xPSR: GE Position */
+#define xPSR_GE_Msk                        (0xFUL << xPSR_GE_Pos)                         /*!< xPSR: GE Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t FPCA:1;                     /*!< bit:      2  FP extension active flag */
+    uint32_t _reserved0:29;              /*!< bit:  3..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_FPCA_Pos                    2U                                            /*!< CONTROL: FPCA Position */
+#define CONTROL_FPCA_Msk                   (1UL << CONTROL_FPCA_Pos)                      /*!< CONTROL: FPCA Mask */
+
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
+}  NVIC_Type;
+
+/* Software Triggered Interrupt Register Definitions */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHPR[12U];              /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t ID_PFR[2U];             /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t ID_DFR;                 /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ID_AFR;                 /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t ID_MFR[4U];             /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ID_ISAR[5U];            /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t CLIDR;                  /*!< Offset: 0x078 (R/ )  Cache Level ID register */
+  __IM  uint32_t CTR;                    /*!< Offset: 0x07C (R/ )  Cache Type register */
+  __IM  uint32_t CCSIDR;                 /*!< Offset: 0x080 (R/ )  Cache Size ID Register */
+  __IOM uint32_t CSSELR;                 /*!< Offset: 0x084 (R/W)  Cache Size Selection Register */
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+        uint32_t RESERVED3[93U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0x200 ( /W)  Software Triggered Interrupt Register */
+        uint32_t RESERVED4[15U];
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x240 (R/ )  Media and VFP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x244 (R/ )  Media and VFP Feature Register 1 */
+  __IM  uint32_t MVFR2;                  /*!< Offset: 0x248 (R/ )  Media and VFP Feature Register 1 */
+        uint32_t RESERVED5[1U];
+  __OM  uint32_t ICIALLU;                /*!< Offset: 0x250 ( /W)  I-Cache Invalidate All to PoU */
+        uint32_t RESERVED6[1U];
+  __OM  uint32_t ICIMVAU;                /*!< Offset: 0x258 ( /W)  I-Cache Invalidate by MVA to PoU */
+  __OM  uint32_t DCIMVAC;                /*!< Offset: 0x25C ( /W)  D-Cache Invalidate by MVA to PoC */
+  __OM  uint32_t DCISW;                  /*!< Offset: 0x260 ( /W)  D-Cache Invalidate by Set-way */
+  __OM  uint32_t DCCMVAU;                /*!< Offset: 0x264 ( /W)  D-Cache Clean by MVA to PoU */
+  __OM  uint32_t DCCMVAC;                /*!< Offset: 0x268 ( /W)  D-Cache Clean by MVA to PoC */
+  __OM  uint32_t DCCSW;                  /*!< Offset: 0x26C ( /W)  D-Cache Clean by Set-way */
+  __OM  uint32_t DCCIMVAC;               /*!< Offset: 0x270 ( /W)  D-Cache Clean and Invalidate by MVA to PoC */
+  __OM  uint32_t DCCISW;                 /*!< Offset: 0x274 ( /W)  D-Cache Clean and Invalidate by Set-way */
+        uint32_t RESERVED7[6U];
+  __IOM uint32_t ITCMCR;                 /*!< Offset: 0x290 (R/W)  Instruction Tightly-Coupled Memory Control Register */
+  __IOM uint32_t DTCMCR;                 /*!< Offset: 0x294 (R/W)  Data Tightly-Coupled Memory Control Registers */
+  __IOM uint32_t AHBPCR;                 /*!< Offset: 0x298 (R/W)  AHBP Control Register */
+  __IOM uint32_t CACR;                   /*!< Offset: 0x29C (R/W)  L1 Cache Control Register */
+  __IOM uint32_t AHBSCR;                 /*!< Offset: 0x2A0 (R/W)  AHB Slave Control Register */
+        uint32_t RESERVED8[1U];
+  __IOM uint32_t ABFSR;                  /*!< Offset: 0x2A8 (R/W)  Auxiliary Bus Fault Status Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Vector Table Offset Register Definitions */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_BP_Pos                      18U                                           /*!< SCB CCR: Branch prediction enable bit Position */
+#define SCB_CCR_BP_Msk                     (1UL << SCB_CCR_BP_Pos)                        /*!< SCB CCR: Branch prediction enable bit Mask */
+
+#define SCB_CCR_IC_Pos                      17U                                           /*!< SCB CCR: Instruction cache enable bit Position */
+#define SCB_CCR_IC_Msk                     (1UL << SCB_CCR_IC_Pos)                        /*!< SCB CCR: Instruction cache enable bit Mask */
+
+#define SCB_CCR_DC_Pos                      16U                                           /*!< SCB CCR: Cache enable bit Position */
+#define SCB_CCR_DC_Msk                     (1UL << SCB_CCR_DC_Pos)                        /*!< SCB CCR: Cache enable bit Mask */
+
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
+
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
+
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
+
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
+
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
+
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
+
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
+
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
+
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
+
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
+
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
+
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
+
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
+
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
+
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
+
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
+#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
+
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
+
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
+#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
+
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
+
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
+
+/* SCB Debug Fault Status Register Definitions */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
+
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
+
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
+
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
+
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
+
+/* SCB Cache Level ID Register Definitions */
+#define SCB_CLIDR_LOUU_Pos                 27U                                            /*!< SCB CLIDR: LoUU Position */
+#define SCB_CLIDR_LOUU_Msk                 (7UL << SCB_CLIDR_LOUU_Pos)                    /*!< SCB CLIDR: LoUU Mask */
+
+#define SCB_CLIDR_LOC_Pos                  24U                                            /*!< SCB CLIDR: LoC Position */
+#define SCB_CLIDR_LOC_Msk                  (7UL << SCB_CLIDR_LOC_Pos)                     /*!< SCB CLIDR: LoC Mask */
+
+/* SCB Cache Type Register Definitions */
+#define SCB_CTR_FORMAT_Pos                 29U                                            /*!< SCB CTR: Format Position */
+#define SCB_CTR_FORMAT_Msk                 (7UL << SCB_CTR_FORMAT_Pos)                    /*!< SCB CTR: Format Mask */
+
+#define SCB_CTR_CWG_Pos                    24U                                            /*!< SCB CTR: CWG Position */
+#define SCB_CTR_CWG_Msk                    (0xFUL << SCB_CTR_CWG_Pos)                     /*!< SCB CTR: CWG Mask */
+
+#define SCB_CTR_ERG_Pos                    20U                                            /*!< SCB CTR: ERG Position */
+#define SCB_CTR_ERG_Msk                    (0xFUL << SCB_CTR_ERG_Pos)                     /*!< SCB CTR: ERG Mask */
+
+#define SCB_CTR_DMINLINE_Pos               16U                                            /*!< SCB CTR: DminLine Position */
+#define SCB_CTR_DMINLINE_Msk               (0xFUL << SCB_CTR_DMINLINE_Pos)                /*!< SCB CTR: DminLine Mask */
+
+#define SCB_CTR_IMINLINE_Pos                0U                                            /*!< SCB CTR: ImInLine Position */
+#define SCB_CTR_IMINLINE_Msk               (0xFUL /*<< SCB_CTR_IMINLINE_Pos*/)            /*!< SCB CTR: ImInLine Mask */
+
+/* SCB Cache Size ID Register Definitions */
+#define SCB_CCSIDR_WT_Pos                  31U                                            /*!< SCB CCSIDR: WT Position */
+#define SCB_CCSIDR_WT_Msk                  (1UL << SCB_CCSIDR_WT_Pos)                     /*!< SCB CCSIDR: WT Mask */
+
+#define SCB_CCSIDR_WB_Pos                  30U                                            /*!< SCB CCSIDR: WB Position */
+#define SCB_CCSIDR_WB_Msk                  (1UL << SCB_CCSIDR_WB_Pos)                     /*!< SCB CCSIDR: WB Mask */
+
+#define SCB_CCSIDR_RA_Pos                  29U                                            /*!< SCB CCSIDR: RA Position */
+#define SCB_CCSIDR_RA_Msk                  (1UL << SCB_CCSIDR_RA_Pos)                     /*!< SCB CCSIDR: RA Mask */
+
+#define SCB_CCSIDR_WA_Pos                  28U                                            /*!< SCB CCSIDR: WA Position */
+#define SCB_CCSIDR_WA_Msk                  (1UL << SCB_CCSIDR_WA_Pos)                     /*!< SCB CCSIDR: WA Mask */
+
+#define SCB_CCSIDR_NUMSETS_Pos             13U                                            /*!< SCB CCSIDR: NumSets Position */
+#define SCB_CCSIDR_NUMSETS_Msk             (0x7FFFUL << SCB_CCSIDR_NUMSETS_Pos)           /*!< SCB CCSIDR: NumSets Mask */
+
+#define SCB_CCSIDR_ASSOCIATIVITY_Pos        3U                                            /*!< SCB CCSIDR: Associativity Position */
+#define SCB_CCSIDR_ASSOCIATIVITY_Msk       (0x3FFUL << SCB_CCSIDR_ASSOCIATIVITY_Pos)      /*!< SCB CCSIDR: Associativity Mask */
+
+#define SCB_CCSIDR_LINESIZE_Pos             0U                                            /*!< SCB CCSIDR: LineSize Position */
+#define SCB_CCSIDR_LINESIZE_Msk            (7UL /*<< SCB_CCSIDR_LINESIZE_Pos*/)           /*!< SCB CCSIDR: LineSize Mask */
+
+/* SCB Cache Size Selection Register Definitions */
+#define SCB_CSSELR_LEVEL_Pos                1U                                            /*!< SCB CSSELR: Level Position */
+#define SCB_CSSELR_LEVEL_Msk               (7UL << SCB_CSSELR_LEVEL_Pos)                  /*!< SCB CSSELR: Level Mask */
+
+#define SCB_CSSELR_IND_Pos                  0U                                            /*!< SCB CSSELR: InD Position */
+#define SCB_CSSELR_IND_Msk                 (1UL /*<< SCB_CSSELR_IND_Pos*/)                /*!< SCB CSSELR: InD Mask */
+
+/* SCB Software Triggered Interrupt Register Definitions */
+#define SCB_STIR_INTID_Pos                  0U                                            /*!< SCB STIR: INTID Position */
+#define SCB_STIR_INTID_Msk                 (0x1FFUL /*<< SCB_STIR_INTID_Pos*/)            /*!< SCB STIR: INTID Mask */
+
+/* SCB D-Cache Invalidate by Set-way Register Definitions */
+#define SCB_DCISW_WAY_Pos                  30U                                            /*!< SCB DCISW: Way Position */
+#define SCB_DCISW_WAY_Msk                  (3UL << SCB_DCISW_WAY_Pos)                     /*!< SCB DCISW: Way Mask */
+
+#define SCB_DCISW_SET_Pos                   5U                                            /*!< SCB DCISW: Set Position */
+#define SCB_DCISW_SET_Msk                  (0x1FFUL << SCB_DCISW_SET_Pos)                 /*!< SCB DCISW: Set Mask */
+
+/* SCB D-Cache Clean by Set-way Register Definitions */
+#define SCB_DCCSW_WAY_Pos                  30U                                            /*!< SCB DCCSW: Way Position */
+#define SCB_DCCSW_WAY_Msk                  (3UL << SCB_DCCSW_WAY_Pos)                     /*!< SCB DCCSW: Way Mask */
+
+#define SCB_DCCSW_SET_Pos                   5U                                            /*!< SCB DCCSW: Set Position */
+#define SCB_DCCSW_SET_Msk                  (0x1FFUL << SCB_DCCSW_SET_Pos)                 /*!< SCB DCCSW: Set Mask */
+
+/* SCB D-Cache Clean and Invalidate by Set-way Register Definitions */
+#define SCB_DCCISW_WAY_Pos                 30U                                            /*!< SCB DCCISW: Way Position */
+#define SCB_DCCISW_WAY_Msk                 (3UL << SCB_DCCISW_WAY_Pos)                    /*!< SCB DCCISW: Way Mask */
+
+#define SCB_DCCISW_SET_Pos                  5U                                            /*!< SCB DCCISW: Set Position */
+#define SCB_DCCISW_SET_Msk                 (0x1FFUL << SCB_DCCISW_SET_Pos)                /*!< SCB DCCISW: Set Mask */
+
+/* Instruction Tightly-Coupled Memory Control Register Definitions */
+#define SCB_ITCMCR_SZ_Pos                   3U                                            /*!< SCB ITCMCR: SZ Position */
+#define SCB_ITCMCR_SZ_Msk                  (0xFUL << SCB_ITCMCR_SZ_Pos)                   /*!< SCB ITCMCR: SZ Mask */
+
+#define SCB_ITCMCR_RETEN_Pos                2U                                            /*!< SCB ITCMCR: RETEN Position */
+#define SCB_ITCMCR_RETEN_Msk               (1UL << SCB_ITCMCR_RETEN_Pos)                  /*!< SCB ITCMCR: RETEN Mask */
+
+#define SCB_ITCMCR_RMW_Pos                  1U                                            /*!< SCB ITCMCR: RMW Position */
+#define SCB_ITCMCR_RMW_Msk                 (1UL << SCB_ITCMCR_RMW_Pos)                    /*!< SCB ITCMCR: RMW Mask */
+
+#define SCB_ITCMCR_EN_Pos                   0U                                            /*!< SCB ITCMCR: EN Position */
+#define SCB_ITCMCR_EN_Msk                  (1UL /*<< SCB_ITCMCR_EN_Pos*/)                 /*!< SCB ITCMCR: EN Mask */
+
+/* Data Tightly-Coupled Memory Control Register Definitions */
+#define SCB_DTCMCR_SZ_Pos                   3U                                            /*!< SCB DTCMCR: SZ Position */
+#define SCB_DTCMCR_SZ_Msk                  (0xFUL << SCB_DTCMCR_SZ_Pos)                   /*!< SCB DTCMCR: SZ Mask */
+
+#define SCB_DTCMCR_RETEN_Pos                2U                                            /*!< SCB DTCMCR: RETEN Position */
+#define SCB_DTCMCR_RETEN_Msk               (1UL << SCB_DTCMCR_RETEN_Pos)                   /*!< SCB DTCMCR: RETEN Mask */
+
+#define SCB_DTCMCR_RMW_Pos                  1U                                            /*!< SCB DTCMCR: RMW Position */
+#define SCB_DTCMCR_RMW_Msk                 (1UL << SCB_DTCMCR_RMW_Pos)                    /*!< SCB DTCMCR: RMW Mask */
+
+#define SCB_DTCMCR_EN_Pos                   0U                                            /*!< SCB DTCMCR: EN Position */
+#define SCB_DTCMCR_EN_Msk                  (1UL /*<< SCB_DTCMCR_EN_Pos*/)                 /*!< SCB DTCMCR: EN Mask */
+
+/* AHBP Control Register Definitions */
+#define SCB_AHBPCR_SZ_Pos                   1U                                            /*!< SCB AHBPCR: SZ Position */
+#define SCB_AHBPCR_SZ_Msk                  (7UL << SCB_AHBPCR_SZ_Pos)                     /*!< SCB AHBPCR: SZ Mask */
+
+#define SCB_AHBPCR_EN_Pos                   0U                                            /*!< SCB AHBPCR: EN Position */
+#define SCB_AHBPCR_EN_Msk                  (1UL /*<< SCB_AHBPCR_EN_Pos*/)                 /*!< SCB AHBPCR: EN Mask */
+
+/* L1 Cache Control Register Definitions */
+#define SCB_CACR_FORCEWT_Pos                2U                                            /*!< SCB CACR: FORCEWT Position */
+#define SCB_CACR_FORCEWT_Msk               (1UL << SCB_CACR_FORCEWT_Pos)                  /*!< SCB CACR: FORCEWT Mask */
+
+#define SCB_CACR_ECCEN_Pos                  1U                                            /*!< SCB CACR: ECCEN Position */
+#define SCB_CACR_ECCEN_Msk                 (1UL << SCB_CACR_ECCEN_Pos)                    /*!< SCB CACR: ECCEN Mask */
+
+#define SCB_CACR_SIWT_Pos                   0U                                            /*!< SCB CACR: SIWT Position */
+#define SCB_CACR_SIWT_Msk                  (1UL /*<< SCB_CACR_SIWT_Pos*/)                 /*!< SCB CACR: SIWT Mask */
+
+/* AHBS Control Register Definitions */
+#define SCB_AHBSCR_INITCOUNT_Pos           11U                                            /*!< SCB AHBSCR: INITCOUNT Position */
+#define SCB_AHBSCR_INITCOUNT_Msk           (0x1FUL << SCB_AHBPCR_INITCOUNT_Pos)           /*!< SCB AHBSCR: INITCOUNT Mask */
+
+#define SCB_AHBSCR_TPRI_Pos                 2U                                            /*!< SCB AHBSCR: TPRI Position */
+#define SCB_AHBSCR_TPRI_Msk                (0x1FFUL << SCB_AHBPCR_TPRI_Pos)               /*!< SCB AHBSCR: TPRI Mask */
+
+#define SCB_AHBSCR_CTL_Pos                  0U                                            /*!< SCB AHBSCR: CTL Position*/
+#define SCB_AHBSCR_CTL_Msk                 (3UL /*<< SCB_AHBPCR_CTL_Pos*/)                /*!< SCB AHBSCR: CTL Mask */
+
+/* Auxiliary Bus Fault Status Register Definitions */
+#define SCB_ABFSR_AXIMTYPE_Pos              8U                                            /*!< SCB ABFSR: AXIMTYPE Position*/
+#define SCB_ABFSR_AXIMTYPE_Msk             (3UL << SCB_ABFSR_AXIMTYPE_Pos)                /*!< SCB ABFSR: AXIMTYPE Mask */
+
+#define SCB_ABFSR_EPPB_Pos                  4U                                            /*!< SCB ABFSR: EPPB Position*/
+#define SCB_ABFSR_EPPB_Msk                 (1UL << SCB_ABFSR_EPPB_Pos)                    /*!< SCB ABFSR: EPPB Mask */
+
+#define SCB_ABFSR_AXIM_Pos                  3U                                            /*!< SCB ABFSR: AXIM Position*/
+#define SCB_ABFSR_AXIM_Msk                 (1UL << SCB_ABFSR_AXIM_Pos)                    /*!< SCB ABFSR: AXIM Mask */
+
+#define SCB_ABFSR_AHBP_Pos                  2U                                            /*!< SCB ABFSR: AHBP Position*/
+#define SCB_ABFSR_AHBP_Msk                 (1UL << SCB_ABFSR_AHBP_Pos)                    /*!< SCB ABFSR: AHBP Mask */
+
+#define SCB_ABFSR_DTCM_Pos                  1U                                            /*!< SCB ABFSR: DTCM Position*/
+#define SCB_ABFSR_DTCM_Msk                 (1UL << SCB_ABFSR_DTCM_Pos)                    /*!< SCB ABFSR: DTCM Mask */
+
+#define SCB_ABFSR_ITCM_Pos                  0U                                            /*!< SCB ABFSR: ITCM Position*/
+#define SCB_ABFSR_ITCM_Msk                 (1UL /*<< SCB_ABFSR_ITCM_Pos*/)                /*!< SCB ABFSR: ITCM Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
+} SCnSCB_Type;
+
+/* Interrupt Controller Type Register Definitions */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
+
+/* Auxiliary Control Register Definitions */
+#define SCnSCB_ACTLR_DISITMATBFLUSH_Pos    12U                                         /*!< ACTLR: DISITMATBFLUSH Position */
+#define SCnSCB_ACTLR_DISITMATBFLUSH_Msk    (1UL << SCnSCB_ACTLR_DISITMATBFLUSH_Pos)    /*!< ACTLR: DISITMATBFLUSH Mask */
+
+#define SCnSCB_ACTLR_DISRAMODE_Pos         11U                                         /*!< ACTLR: DISRAMODE Position */
+#define SCnSCB_ACTLR_DISRAMODE_Msk         (1UL << SCnSCB_ACTLR_DISRAMODE_Pos)         /*!< ACTLR: DISRAMODE Mask */
+
+#define SCnSCB_ACTLR_FPEXCODIS_Pos         10U                                         /*!< ACTLR: FPEXCODIS Position */
+#define SCnSCB_ACTLR_FPEXCODIS_Msk         (1UL << SCnSCB_ACTLR_FPEXCODIS_Pos)         /*!< ACTLR: FPEXCODIS Mask */
+
+#define SCnSCB_ACTLR_DISFOLD_Pos            2U                                         /*!< ACTLR: DISFOLD Position */
+#define SCnSCB_ACTLR_DISFOLD_Msk           (1UL << SCnSCB_ACTLR_DISFOLD_Pos)           /*!< ACTLR: DISFOLD Mask */
+
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
+
+/*@} end of group CMSIS_SCnotSCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+ */
+typedef struct
+{
+  __OM  union
+  {
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+} ITM_Type;
+
+/* ITM Trace Privilege Register Definitions */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+
+/* ITM Trace Control Register Definitions */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
+
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
+
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
+
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
+
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
+
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
+
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
+
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
+
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
+
+/* ITM Integration Write Register Definitions */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
+
+/* ITM Integration Read Register Definitions */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
+
+/* ITM Integration Mode Control Register Definitions */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
+
+/* ITM Lock Status Register Definitions */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
+
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
+
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
+
+/*@}*/ /* end of group CMSIS_ITM */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
+        uint32_t RESERVED3[981U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 (  W)  Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R  )  Lock Status Register */
+} DWT_Type;
+
+/* DWT Control Register Definitions */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
+
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
+
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
+
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
+
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
+
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
+
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
+
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
+
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
+
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
+
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
+
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
+
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
+
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
+
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
+
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
+
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
+
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
+
+/* DWT CPI Count Register Definitions */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
+
+/* DWT Exception Overhead Count Register Definitions */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
+
+/* DWT Sleep Count Register Definitions */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
+
+/* DWT LSU Count Register Definitions */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
+
+/* DWT Folded-instruction Count Register Definitions */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
+
+/* DWT Comparator Mask Register Definitions */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
+
+/* DWT Comparator Function Register Definitions */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
+
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
+
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
+
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
+
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
+
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
+
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
+
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
+
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
+
+/*@}*/ /* end of group CMSIS_DWT */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
+ */
+typedef struct
+{
+  __IOM uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+} TPI_Type;
+
+/* TPI Asynchronous Clock Prescaler Register Definitions */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
+
+/* TPI Selected Pin Protocol Register Definitions */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
+
+/* TPI Formatter and Flush Status Register Definitions */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
+
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
+
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
+
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
+
+/* TPI Formatter and Flush Control Register Definitions */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
+
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
+
+/* TPI TRIGGER Register Definitions */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
+
+/* TPI Integration ETM Data Register Definitions (FIFO0) */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
+
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
+
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
+
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
+
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
+
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
+
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
+
+/* TPI ITATBCTR2 Register Definitions */
+#define TPI_ITATBCTR2_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR2: ATREADY Position */
+#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+
+/* TPI Integration ITM Data Register Definitions (FIFO1) */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
+
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
+
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
+
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
+
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
+
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
+
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
+
+/* TPI ITATBCTR0 Register Definitions */
+#define TPI_ITATBCTR0_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR0: ATREADY Position */
+#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+
+/* TPI Integration Mode Control Register Definitions */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+
+/* TPI DEVID Register Definitions */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
+
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
+
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
+
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
+
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
+
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
+
+/* TPI DEVTYPE Register Definitions */
+#define TPI_DEVTYPE_MajorType_Pos           4U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
+#define TPI_DEVTYPE_SubType_Pos             0U                                         /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
+
+/*@}*/ /* end of group CMSIS_TPI */
+
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+#if (__FPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_FPU     Floating Point Unit (FPU)
+  \brief    Type definitions for the Floating Point Unit (FPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Floating Point Unit (FPU).
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t FPCCR;                  /*!< Offset: 0x004 (R/W)  Floating-Point Context Control Register */
+  __IOM uint32_t FPCAR;                  /*!< Offset: 0x008 (R/W)  Floating-Point Context Address Register */
+  __IOM uint32_t FPDSCR;                 /*!< Offset: 0x00C (R/W)  Floating-Point Default Status Control Register */
+  __IM  uint32_t MVFR0;                  /*!< Offset: 0x010 (R/ )  Media and FP Feature Register 0 */
+  __IM  uint32_t MVFR1;                  /*!< Offset: 0x014 (R/ )  Media and FP Feature Register 1 */
+  __IM  uint32_t MVFR2;                  /*!< Offset: 0x018 (R/ )  Media and FP Feature Register 2 */
+} FPU_Type;
+
+/* Floating-Point Context Control Register Definitions */
+#define FPU_FPCCR_ASPEN_Pos                31U                                            /*!< FPCCR: ASPEN bit Position */
+#define FPU_FPCCR_ASPEN_Msk                (1UL << FPU_FPCCR_ASPEN_Pos)                   /*!< FPCCR: ASPEN bit Mask */
+
+#define FPU_FPCCR_LSPEN_Pos                30U                                            /*!< FPCCR: LSPEN Position */
+#define FPU_FPCCR_LSPEN_Msk                (1UL << FPU_FPCCR_LSPEN_Pos)                   /*!< FPCCR: LSPEN bit Mask */
+
+#define FPU_FPCCR_MONRDY_Pos                8U                                            /*!< FPCCR: MONRDY Position */
+#define FPU_FPCCR_MONRDY_Msk               (1UL << FPU_FPCCR_MONRDY_Pos)                  /*!< FPCCR: MONRDY bit Mask */
+
+#define FPU_FPCCR_BFRDY_Pos                 6U                                            /*!< FPCCR: BFRDY Position */
+#define FPU_FPCCR_BFRDY_Msk                (1UL << FPU_FPCCR_BFRDY_Pos)                   /*!< FPCCR: BFRDY bit Mask */
+
+#define FPU_FPCCR_MMRDY_Pos                 5U                                            /*!< FPCCR: MMRDY Position */
+#define FPU_FPCCR_MMRDY_Msk                (1UL << FPU_FPCCR_MMRDY_Pos)                   /*!< FPCCR: MMRDY bit Mask */
+
+#define FPU_FPCCR_HFRDY_Pos                 4U                                            /*!< FPCCR: HFRDY Position */
+#define FPU_FPCCR_HFRDY_Msk                (1UL << FPU_FPCCR_HFRDY_Pos)                   /*!< FPCCR: HFRDY bit Mask */
+
+#define FPU_FPCCR_THREAD_Pos                3U                                            /*!< FPCCR: processor mode bit Position */
+#define FPU_FPCCR_THREAD_Msk               (1UL << FPU_FPCCR_THREAD_Pos)                  /*!< FPCCR: processor mode active bit Mask */
+
+#define FPU_FPCCR_USER_Pos                  1U                                            /*!< FPCCR: privilege level bit Position */
+#define FPU_FPCCR_USER_Msk                 (1UL << FPU_FPCCR_USER_Pos)                    /*!< FPCCR: privilege level bit Mask */
+
+#define FPU_FPCCR_LSPACT_Pos                0U                                            /*!< FPCCR: Lazy state preservation active bit Position */
+#define FPU_FPCCR_LSPACT_Msk               (1UL /*<< FPU_FPCCR_LSPACT_Pos*/)              /*!< FPCCR: Lazy state preservation active bit Mask */
+
+/* Floating-Point Context Address Register Definitions */
+#define FPU_FPCAR_ADDRESS_Pos               3U                                            /*!< FPCAR: ADDRESS bit Position */
+#define FPU_FPCAR_ADDRESS_Msk              (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos)        /*!< FPCAR: ADDRESS bit Mask */
+
+/* Floating-Point Default Status Control Register Definitions */
+#define FPU_FPDSCR_AHP_Pos                 26U                                            /*!< FPDSCR: AHP bit Position */
+#define FPU_FPDSCR_AHP_Msk                 (1UL << FPU_FPDSCR_AHP_Pos)                    /*!< FPDSCR: AHP bit Mask */
+
+#define FPU_FPDSCR_DN_Pos                  25U                                            /*!< FPDSCR: DN bit Position */
+#define FPU_FPDSCR_DN_Msk                  (1UL << FPU_FPDSCR_DN_Pos)                     /*!< FPDSCR: DN bit Mask */
+
+#define FPU_FPDSCR_FZ_Pos                  24U                                            /*!< FPDSCR: FZ bit Position */
+#define FPU_FPDSCR_FZ_Msk                  (1UL << FPU_FPDSCR_FZ_Pos)                     /*!< FPDSCR: FZ bit Mask */
+
+#define FPU_FPDSCR_RMode_Pos               22U                                            /*!< FPDSCR: RMode bit Position */
+#define FPU_FPDSCR_RMode_Msk               (3UL << FPU_FPDSCR_RMode_Pos)                  /*!< FPDSCR: RMode bit Mask */
+
+/* Media and FP Feature Register 0 Definitions */
+#define FPU_MVFR0_FP_rounding_modes_Pos    28U                                            /*!< MVFR0: FP rounding modes bits Position */
+#define FPU_MVFR0_FP_rounding_modes_Msk    (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos)     /*!< MVFR0: FP rounding modes bits Mask */
+
+#define FPU_MVFR0_Short_vectors_Pos        24U                                            /*!< MVFR0: Short vectors bits Position */
+#define FPU_MVFR0_Short_vectors_Msk        (0xFUL << FPU_MVFR0_Short_vectors_Pos)         /*!< MVFR0: Short vectors bits Mask */
+
+#define FPU_MVFR0_Square_root_Pos          20U                                            /*!< MVFR0: Square root bits Position */
+#define FPU_MVFR0_Square_root_Msk          (0xFUL << FPU_MVFR0_Square_root_Pos)           /*!< MVFR0: Square root bits Mask */
+
+#define FPU_MVFR0_Divide_Pos               16U                                            /*!< MVFR0: Divide bits Position */
+#define FPU_MVFR0_Divide_Msk               (0xFUL << FPU_MVFR0_Divide_Pos)                /*!< MVFR0: Divide bits Mask */
+
+#define FPU_MVFR0_FP_excep_trapping_Pos    12U                                            /*!< MVFR0: FP exception trapping bits Position */
+#define FPU_MVFR0_FP_excep_trapping_Msk    (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos)     /*!< MVFR0: FP exception trapping bits Mask */
+
+#define FPU_MVFR0_Double_precision_Pos      8U                                            /*!< MVFR0: Double-precision bits Position */
+#define FPU_MVFR0_Double_precision_Msk     (0xFUL << FPU_MVFR0_Double_precision_Pos)      /*!< MVFR0: Double-precision bits Mask */
+
+#define FPU_MVFR0_Single_precision_Pos      4U                                            /*!< MVFR0: Single-precision bits Position */
+#define FPU_MVFR0_Single_precision_Msk     (0xFUL << FPU_MVFR0_Single_precision_Pos)      /*!< MVFR0: Single-precision bits Mask */
+
+#define FPU_MVFR0_A_SIMD_registers_Pos      0U                                            /*!< MVFR0: A_SIMD registers bits Position */
+#define FPU_MVFR0_A_SIMD_registers_Msk     (0xFUL /*<< FPU_MVFR0_A_SIMD_registers_Pos*/)  /*!< MVFR0: A_SIMD registers bits Mask */
+
+/* Media and FP Feature Register 1 Definitions */
+#define FPU_MVFR1_FP_fused_MAC_Pos         28U                                            /*!< MVFR1: FP fused MAC bits Position */
+#define FPU_MVFR1_FP_fused_MAC_Msk         (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos)          /*!< MVFR1: FP fused MAC bits Mask */
+
+#define FPU_MVFR1_FP_HPFP_Pos              24U                                            /*!< MVFR1: FP HPFP bits Position */
+#define FPU_MVFR1_FP_HPFP_Msk              (0xFUL << FPU_MVFR1_FP_HPFP_Pos)               /*!< MVFR1: FP HPFP bits Mask */
+
+#define FPU_MVFR1_D_NaN_mode_Pos            4U                                            /*!< MVFR1: D_NaN mode bits Position */
+#define FPU_MVFR1_D_NaN_mode_Msk           (0xFUL << FPU_MVFR1_D_NaN_mode_Pos)            /*!< MVFR1: D_NaN mode bits Mask */
+
+#define FPU_MVFR1_FtZ_mode_Pos              0U                                            /*!< MVFR1: FtZ mode bits Position */
+#define FPU_MVFR1_FtZ_mode_Msk             (0xFUL /*<< FPU_MVFR1_FtZ_mode_Pos*/)          /*!< MVFR1: FtZ mode bits Mask */
+
+/* Media and FP Feature Register 2 Definitions */
+
+/*@} end of group CMSIS_FPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
+ */
+typedef struct
+{
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+} CoreDebug_Type;
+
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
+#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
+
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
+
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
+
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
+
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
+
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
+
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
+
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
+
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
+
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
+
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
+
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
+
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
+#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
+
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
+
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
+#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
+
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
+
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
+
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
+
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
+
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
+
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
+
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
+
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
+
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
+
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
+
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
+
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
+
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M4 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+#if (__FPU_PRESENT == 1U)
+  #define FPU_BASE          (SCS_BASE +  0x0F30UL)                    /*!< Floating Point Unit */
+  #define FPU               ((FPU_Type       *)     FPU_BASE      )   /*!< Floating Point Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Debug Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
+ */
+__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+{
+  uint32_t reg_value;
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
+
+  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
+  reg_value  =  (reg_value                                   |
+                ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                (PriorityGroupTmp << 8U)                      );              /* Insert write key and priorty group */
+  SCB->AIRCR =  reg_value;
+}
+
+
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+{
+  return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
+}
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in NVIC and returns the active bit.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+ */
+__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHPR[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    NVIC->IP[((uint32_t)(int32_t)IRQn)]                = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return(((uint32_t)SCB->SHPR[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]                >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
+
+
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
+ */
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = (uint32_t)((0x5FAUL << SCB_AIRCR_VECTKEY_Pos)    |
+                           (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
+                            SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+/* ##########################  FPU functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_FpuFunctions FPU Functions
+  \brief    Function that provides FPU type.
+  @{
+ */
+
+/**
+  \brief   get FPU type
+  \details returns the FPU type
+  \returns
+   - \b  0: No FPU
+   - \b  1: Single precision FPU
+   - \b  2: Double + Single precision FPU
+ */
+__STATIC_INLINE uint32_t SCB_GetFPUType(void)
+{
+  uint32_t mvfr0;
+
+  mvfr0 = SCB->MVFR0;
+  if        ((mvfr0 & 0x00000FF0UL) == 0x220UL)
+  {
+    return 2UL;           /* Double + Single precision FPU */
+  }
+  else if ((mvfr0 & 0x00000FF0UL) == 0x020UL)
+  {
+    return 1UL;           /* Single precision FPU */
+  }
+  else
+  {
+    return 0UL;           /* No FPU */
+  }
+}
+
+
+/*@} end of CMSIS_Core_FpuFunctions */
+
+
+
+/* ##########################  Cache functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_CacheFunctions Cache Functions
+  \brief    Functions that configure Instruction and Data cache.
+  @{
+ */
+
+/* Cache Size ID Register Macros */
+#define CCSIDR_WAYS(x)         (((x) & SCB_CCSIDR_ASSOCIATIVITY_Msk) >> SCB_CCSIDR_ASSOCIATIVITY_Pos)
+#define CCSIDR_SETS(x)         (((x) & SCB_CCSIDR_NUMSETS_Msk      ) >> SCB_CCSIDR_NUMSETS_Pos      )
+
+
+/**
+  \brief   Enable I-Cache
+  \details Turns on I-Cache
+  */
+__STATIC_INLINE void SCB_EnableICache (void)
+{
+  #if (__ICACHE_PRESENT == 1U)
+    __DSB();
+    __ISB();
+    SCB->ICIALLU = 0UL;                     /* invalidate I-Cache */
+    SCB->CCR |=  (uint32_t)SCB_CCR_IC_Msk;  /* enable I-Cache */
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Disable I-Cache
+  \details Turns off I-Cache
+  */
+__STATIC_INLINE void SCB_DisableICache (void)
+{
+  #if (__ICACHE_PRESENT == 1U)
+    __DSB();
+    __ISB();
+    SCB->CCR &= ~(uint32_t)SCB_CCR_IC_Msk;  /* disable I-Cache */
+    SCB->ICIALLU = 0UL;                     /* invalidate I-Cache */
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Invalidate I-Cache
+  \details Invalidates I-Cache
+  */
+__STATIC_INLINE void SCB_InvalidateICache (void)
+{
+  #if (__ICACHE_PRESENT == 1U)
+    __DSB();
+    __ISB();
+    SCB->ICIALLU = 0UL;
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Enable D-Cache
+  \details Turns on D-Cache
+  */
+__STATIC_INLINE void SCB_EnableDCache (void)
+{
+  #if (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+    SCB->CSSELR = (0U << 1U) | 0U;          /* Level 1 data cache */
+    __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+                                            /* invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCISW = (((sets << SCB_DCISW_SET_Pos) & SCB_DCISW_SET_Msk) |
+                      ((ways << SCB_DCISW_WAY_Pos) & SCB_DCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways--);
+    } while(sets--);
+    __DSB();
+
+    SCB->CCR |=  (uint32_t)SCB_CCR_DC_Msk;  /* enable D-Cache */
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Disable D-Cache
+  \details Turns off D-Cache
+  */
+__STATIC_INLINE void SCB_DisableDCache (void)
+{
+  #if (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+    SCB->CSSELR = (0U << 1U) | 0U;          /* Level 1 data cache */
+    __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+    SCB->CCR &= ~(uint32_t)SCB_CCR_DC_Msk;  /* disable D-Cache */
+
+                                            /* clean & invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCISW = (((sets << SCB_DCCISW_SET_Pos) & SCB_DCCISW_SET_Msk) |
+                       ((ways << SCB_DCCISW_WAY_Pos) & SCB_DCCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways--);
+    } while(sets--);
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Invalidate D-Cache
+  \details Invalidates D-Cache
+  */
+__STATIC_INLINE void SCB_InvalidateDCache (void)
+{
+  #if (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+    SCB->CSSELR = (0U << 1U) | 0U;          /* Level 1 data cache */
+    __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+                                            /* invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCISW = (((sets << SCB_DCISW_SET_Pos) & SCB_DCISW_SET_Msk) |
+                      ((ways << SCB_DCISW_WAY_Pos) & SCB_DCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways--);
+    } while(sets--);
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Clean D-Cache
+  \details Cleans D-Cache
+  */
+__STATIC_INLINE void SCB_CleanDCache (void)
+{
+  #if (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+    SCB->CSSELR = (0U << 1U) | 0U;          /* Level 1 data cache */
+    __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+                                            /* clean D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCSW = (((sets << SCB_DCCSW_SET_Pos) & SCB_DCCSW_SET_Msk) |
+                      ((ways << SCB_DCCSW_WAY_Pos) & SCB_DCCSW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways--);
+    } while(sets--);
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   Clean & Invalidate D-Cache
+  \details Cleans and Invalidates D-Cache
+  */
+__STATIC_INLINE void SCB_CleanInvalidateDCache (void)
+{
+  #if (__DCACHE_PRESENT == 1U)
+    uint32_t ccsidr;
+    uint32_t sets;
+    uint32_t ways;
+
+    SCB->CSSELR = (0U << 1U) | 0U;          /* Level 1 data cache */
+    __DSB();
+
+    ccsidr = SCB->CCSIDR;
+
+                                            /* clean & invalidate D-Cache */
+    sets = (uint32_t)(CCSIDR_SETS(ccsidr));
+    do {
+      ways = (uint32_t)(CCSIDR_WAYS(ccsidr));
+      do {
+        SCB->DCCISW = (((sets << SCB_DCCISW_SET_Pos) & SCB_DCCISW_SET_Msk) |
+                       ((ways << SCB_DCCISW_WAY_Pos) & SCB_DCCISW_WAY_Msk)  );
+        #if defined ( __CC_ARM )
+          __schedule_barrier();
+        #endif
+      } while (ways--);
+    } while(sets--);
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   D-Cache Invalidate by address
+  \details Invalidates D-Cache for the given address
+  \param[in]   addr    address (aligned to 32-byte boundary)
+  \param[in]   dsize   size of memory block (in number of bytes)
+*/
+__STATIC_INLINE void SCB_InvalidateDCache_by_Addr (uint32_t *addr, int32_t dsize)
+{
+  #if (__DCACHE_PRESENT == 1U)
+     int32_t op_size = dsize;
+    uint32_t op_addr = (uint32_t)addr;
+     int32_t linesize = 32U;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
+
+    __DSB();
+
+    while (op_size > 0) {
+      SCB->DCIMVAC = op_addr;
+      op_addr += linesize;
+      op_size -= linesize;
+    }
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   D-Cache Clean by address
+  \details Cleans D-Cache for the given address
+  \param[in]   addr    address (aligned to 32-byte boundary)
+  \param[in]   dsize   size of memory block (in number of bytes)
+*/
+__STATIC_INLINE void SCB_CleanDCache_by_Addr (uint32_t *addr, int32_t dsize)
+{
+  #if (__DCACHE_PRESENT == 1)
+     int32_t op_size = dsize;
+    uint32_t op_addr = (uint32_t) addr;
+     int32_t linesize = 32U;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
+
+    __DSB();
+
+    while (op_size > 0) {
+      SCB->DCCMVAC = op_addr;
+      op_addr += linesize;
+      op_size -= linesize;
+    }
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/**
+  \brief   D-Cache Clean and Invalidate by address
+  \details Cleans and invalidates D_Cache for the given address
+  \param[in]   addr    address (aligned to 32-byte boundary)
+  \param[in]   dsize   size of memory block (in number of bytes)
+*/
+__STATIC_INLINE void SCB_CleanInvalidateDCache_by_Addr (uint32_t *addr, int32_t dsize)
+{
+  #if (__DCACHE_PRESENT == 1U)
+     int32_t op_size = dsize;
+    uint32_t op_addr = (uint32_t) addr;
+     int32_t linesize = 32U;                /* in Cortex-M7 size of cache line is fixed to 8 words (32 bytes) */
+
+    __DSB();
+
+    while (op_size > 0) {
+      SCB->DCCIMVAC = op_addr;
+      op_addr += linesize;
+      op_size -= linesize;
+    }
+
+    __DSB();
+    __ISB();
+  #endif
+}
+
+
+/*@} end of CMSIS_Core_CacheFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+/* ##################################### Debug In/Output function ########################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
+  @{
+ */
+
+extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY   0x5AA55AA5U /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
+
+
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
+ */
+__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
+{
+  if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
+      ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
+  {
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
+  }
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
+ */
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
+  int32_t ch = -1;                           /* no character available */
+
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
+    ch = ITM_RxBuffer;
+    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
+  }
+
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
+ */
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
+
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
+  }
+}
+
+/*@} end of CMSIS_core_DebugFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CM7_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_cmFunc.h b/Include/core_cmFunc.h
new file mode 100644
index 0000000..652a48a
--- /dev/null
+++ b/Include/core_cmFunc.h
@@ -0,0 +1,87 @@
+/**************************************************************************//**
+ * @file     core_cmFunc.h
+ * @brief    CMSIS Cortex-M Core Function Access Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CMFUNC_H
+#define __CORE_CMFUNC_H
+
+
+/* ###########################  Core Function Access  ########################### */
+/** \ingroup  CMSIS_Core_FunctionInterface
+    \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions
+  @{
+*/
+
+/*------------------ RealView Compiler -----------------*/
+#if   defined ( __CC_ARM )
+  #include "cmsis_armcc.h"
+
+/*------------------ ARM Compiler V6 -------------------*/
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #include "cmsis_armcc_V6.h"
+
+/*------------------ GNU Compiler ----------------------*/
+#elif defined ( __GNUC__ )
+  #include "cmsis_gcc.h"
+
+/*------------------ ICC Compiler ----------------------*/
+#elif defined ( __ICCARM__ )
+  #include <cmsis_iar.h>
+
+/*------------------ TI CCS Compiler -------------------*/
+#elif defined ( __TMS470__ )
+  #include <cmsis_ccs.h>
+
+/*------------------ TASKING Compiler ------------------*/
+#elif defined ( __TASKING__ )
+  /*
+   * The CMSIS functions have been implemented as intrinsics in the compiler.
+   * Please use "carm -?i" to get an up to date list of all intrinsics,
+   * Including the CMSIS ones.
+   */
+
+/*------------------ COSMIC Compiler -------------------*/
+#elif defined ( __CSMC__ )
+  #include <cmsis_csm.h>
+
+#endif
+
+/*@} end of CMSIS_Core_RegAccFunctions */
+
+#endif /* __CORE_CMFUNC_H */
diff --git a/Include/core_cmInstr.h b/Include/core_cmInstr.h
new file mode 100644
index 0000000..f474b0e
--- /dev/null
+++ b/Include/core_cmInstr.h
@@ -0,0 +1,87 @@
+/**************************************************************************//**
+ * @file     core_cmInstr.h
+ * @brief    CMSIS Cortex-M Core Instruction Access Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CMINSTR_H
+#define __CORE_CMINSTR_H
+
+
+/* ##########################  Core Instruction Access  ######################### */
+/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface
+  Access to dedicated instructions
+  @{
+*/
+
+/*------------------ RealView Compiler -----------------*/
+#if   defined ( __CC_ARM )
+  #include "cmsis_armcc.h"
+
+/*------------------ ARM Compiler V6 -------------------*/
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #include "cmsis_armcc_V6.h"
+
+/*------------------ GNU Compiler ----------------------*/
+#elif defined ( __GNUC__ )
+  #include "cmsis_gcc.h"
+
+/*------------------ ICC Compiler ----------------------*/
+#elif defined ( __ICCARM__ )
+  #include <cmsis_iar.h>
+
+/*------------------ TI CCS Compiler -------------------*/
+#elif defined ( __TMS470__ )
+  #include <cmsis_ccs.h>
+
+/*------------------ TASKING Compiler ------------------*/
+#elif defined ( __TASKING__ )
+  /*
+   * The CMSIS functions have been implemented as intrinsics in the compiler.
+   * Please use "carm -?i" to get an up to date list of all intrinsics,
+   * Including the CMSIS ones.
+   */
+
+/*------------------ COSMIC Compiler -------------------*/
+#elif defined ( __CSMC__ )
+  #include <cmsis_csm.h>
+
+#endif
+
+/*@}*/ /* end of group CMSIS_Core_InstructionInterface */
+
+#endif /* __CORE_CMINSTR_H */
diff --git a/Include/core_cmSimd.h b/Include/core_cmSimd.h
new file mode 100644
index 0000000..66bf5c2
--- /dev/null
+++ b/Include/core_cmSimd.h
@@ -0,0 +1,96 @@
+/**************************************************************************//**
+ * @file     core_cmSimd.h
+ * @brief    CMSIS Cortex-M SIMD Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_CMSIMD_H
+#define __CORE_CMSIMD_H
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+
+/* ###################  Compiler specific Intrinsics  ########################### */
+/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics
+  Access to dedicated SIMD instructions
+  @{
+*/
+
+/*------------------ RealView Compiler -----------------*/
+#if   defined ( __CC_ARM )
+  #include "cmsis_armcc.h"
+
+/*------------------ ARM Compiler V6 -------------------*/
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #include "cmsis_armcc_V6.h"
+
+/*------------------ GNU Compiler ----------------------*/
+#elif defined ( __GNUC__ )
+  #include "cmsis_gcc.h"
+
+/*------------------ ICC Compiler ----------------------*/
+#elif defined ( __ICCARM__ )
+  #include <cmsis_iar.h>
+
+/*------------------ TI CCS Compiler -------------------*/
+#elif defined ( __TMS470__ )
+  #include <cmsis_ccs.h>
+
+/*------------------ TASKING Compiler ------------------*/
+#elif defined ( __TASKING__ )
+  /*
+   * The CMSIS functions have been implemented as intrinsics in the compiler.
+   * Please use "carm -?i" to get an up to date list of all intrinsics,
+   * Including the CMSIS ones.
+   */
+
+/*------------------ COSMIC Compiler -------------------*/
+#elif defined ( __CSMC__ )
+  #include <cmsis_csm.h>
+
+#endif
+
+/*@} end of group CMSIS_SIMD_intrinsics */
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_CMSIMD_H */
diff --git a/Include/core_sc000.h b/Include/core_sc000.h
new file mode 100644
index 0000000..514dbd8
--- /dev/null
+++ b/Include/core_sc000.h
@@ -0,0 +1,926 @@
+/**************************************************************************//**
+ * @file     core_sc000.h
+ * @brief    CMSIS SC000 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_SC000_H_GENERIC
+#define __CORE_SC000_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup SC000
+  @{
+ */
+
+/*  CMSIS SC000 definitions */
+#define __SC000_CMSIS_VERSION_MAIN  (0x04U)                                    /*!< [31:16] CMSIS HAL main version */
+#define __SC000_CMSIS_VERSION_SUB   (0x1EU)                                    /*!< [15:0]  CMSIS HAL sub version */
+#define __SC000_CMSIS_VERSION       ((__SC000_CMSIS_VERSION_MAIN << 16U) | \
+                                      __SC000_CMSIS_VERSION_SUB           )    /*!< CMSIS HAL version number */
+
+#define __CORTEX_SC                 (000U)                                     /*!< Cortex secure core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    This core does not support an FPU at all
+*/
+#define __FPU_USED       0U
+
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_SC000_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_SC000_H_DEPENDANT
+#define __CORE_SC000_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __SC000_REV
+    #define __SC000_REV             0x0000U
+    #warning "__SC000_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          2U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group SC000 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core MPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:28;              /*!< bit:  0..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t _reserved1:3;               /*!< bit: 25..27  Reserved */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:1;               /*!< bit:      0  Reserved */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[1U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[31U];
+  __IOM uint32_t ICER[1U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[31U];
+  __IOM uint32_t ISPR[1U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[31U];
+  __IOM uint32_t ICPR[1U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[31U];
+        uint32_t RESERVED4[64U];
+  __IOM uint32_t IP[8U];                 /*!< Offset: 0x300 (R/W)  Interrupt Priority Register */
+}  NVIC_Type;
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t SHP[2U];                /*!< Offset: 0x01C (R/W)  System Handlers Priority Registers. [0] is RESERVED */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+        uint32_t RESERVED1[154U];
+  __IOM uint32_t SFCR;                   /*!< Offset: 0x290 (R/W)  Security Features Control Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos)           /*!< SCB VTOR: TBLOFF Mask */
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
+ */
+typedef struct
+{
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACTLR;                  /*!< Offset: 0x008 (R/W)  Auxiliary Control Register */
+} SCnSCB_Type;
+
+/* Auxiliary Control Register Definitions */
+#define SCnSCB_ACTLR_DISMCYCINT_Pos         0U                                         /*!< ACTLR: DISMCYCINT Position */
+#define SCnSCB_ACTLR_DISMCYCINT_Msk        (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/)    /*!< ACTLR: DISMCYCINT Mask */
+
+/*@} end of group CMSIS_SCnotSCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   8U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0xFFFFFFUL << MPU_RBAR_ADDR_Pos)              /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    SC000 Core Debug Registers (DCB registers, SHCSR, and DFSR) are only accessible over DAP and not via processor.
+            Therefore they are not covered by the SC000 header file.
+  @{
+ */
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of SC000 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/* Interrupt Priorities are WORD accessible only under ARMv6M                   */
+/* The following MACROS handle generation of the register offset and byte masks */
+#define _BIT_SHIFT(IRQn)         (  ((((uint32_t)(int32_t)(IRQn))         )      &  0x03UL) * 8UL)
+#define _SHP_IDX(IRQn)           ( (((((uint32_t)(int32_t)(IRQn)) & 0x0FUL)-8UL) >>    2UL)      )
+#define _IP_IDX(IRQn)            (   (((uint32_t)(int32_t)(IRQn))                >>    2UL)      )
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[0U] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[0U] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[_SHP_IDX(IRQn)] = ((uint32_t)(SCB->SHP[_SHP_IDX(IRQn)] & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+  else
+  {
+    NVIC->IP[_IP_IDX(IRQn)]  = ((uint32_t)(NVIC->IP[_IP_IDX(IRQn)]  & ~(0xFFUL << _BIT_SHIFT(IRQn))) |
+       (((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL) << _BIT_SHIFT(IRQn)));
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return((uint32_t)(((SCB->SHP[_SHP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return((uint32_t)(((NVIC->IP[ _IP_IDX(IRQn)] >> _BIT_SHIFT(IRQn) ) & (uint32_t)0xFFUL) >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = ((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                 SCB_AIRCR_SYSRESETREQ_Msk);
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_SC000_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Include/core_sc300.h b/Include/core_sc300.h
new file mode 100644
index 0000000..8bd18aa
--- /dev/null
+++ b/Include/core_sc300.h
@@ -0,0 +1,1745 @@
+/**************************************************************************//**
+ * @file     core_sc300.h
+ * @brief    CMSIS SC300 Core Peripheral Access Layer Header File
+ * @version  V4.30
+ * @date     20. October 2015
+ ******************************************************************************/
+/* Copyright (c) 2009 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+#if   defined ( __ICCARM__ )
+ #pragma system_include         /* treat file as system include file for MISRA check */
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #pragma clang system_header   /* treat file as system include file */
+#endif
+
+#ifndef __CORE_SC300_H_GENERIC
+#define __CORE_SC300_H_GENERIC
+
+#include <stdint.h>
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/**
+  \page CMSIS_MISRA_Exceptions  MISRA-C:2004 Compliance Exceptions
+  CMSIS violates the following MISRA-C:2004 rules:
+
+   \li Required Rule 8.5, object/function definition in header file.<br>
+     Function definitions in header files are used to allow 'inlining'.
+
+   \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.<br>
+     Unions are used for effective representation of core registers.
+
+   \li Advisory Rule 19.7, Function-like macro defined.<br>
+     Function-like macros are used to allow more efficient code.
+ */
+
+
+/*******************************************************************************
+ *                 CMSIS definitions
+ ******************************************************************************/
+/**
+  \ingroup SC3000
+  @{
+ */
+
+/*  CMSIS SC300 definitions */
+#define __SC300_CMSIS_VERSION_MAIN  (0x04U)                                    /*!< [31:16] CMSIS HAL main version */
+#define __SC300_CMSIS_VERSION_SUB   (0x1EU)                                    /*!< [15:0]  CMSIS HAL sub version */
+#define __SC300_CMSIS_VERSION       ((__SC300_CMSIS_VERSION_MAIN << 16U) | \
+                                      __SC300_CMSIS_VERSION_SUB           )    /*!< CMSIS HAL version number */
+
+#define __CORTEX_SC                 (300U)                                     /*!< Cortex secure core */
+
+
+#if   defined ( __CC_ARM )
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #define __ASM            __asm                                      /*!< asm keyword for ARM Compiler */
+  #define __INLINE         __inline                                   /*!< inline keyword for ARM Compiler */
+  #define __STATIC_INLINE  static __inline
+
+#elif defined ( __GNUC__ )
+  #define __ASM            __asm                                      /*!< asm keyword for GNU Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for GNU Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __ICCARM__ )
+  #define __ASM            __asm                                      /*!< asm keyword for IAR Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for IAR Compiler. Only available in High optimization mode! */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TMS470__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TI CCS Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __TASKING__ )
+  #define __ASM            __asm                                      /*!< asm keyword for TASKING Compiler */
+  #define __INLINE         inline                                     /*!< inline keyword for TASKING Compiler */
+  #define __STATIC_INLINE  static inline
+
+#elif defined ( __CSMC__ )
+  #define __packed
+  #define __ASM            _asm                                      /*!< asm keyword for COSMIC Compiler */
+  #define __INLINE         inline                                    /*!< inline keyword for COSMIC Compiler. Use -pc99 on compile line */
+  #define __STATIC_INLINE  static inline
+
+#else
+  #error Unknown compiler
+#endif
+
+/** __FPU_USED indicates whether an FPU is used or not.
+    This core does not support an FPU at all
+*/
+#define __FPU_USED       0U
+
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if defined __ARM_PCS_VFP
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __GNUC__ )
+  #if defined (__VFP_FP__) && !defined(__SOFTFP__)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TMS470__ )
+  #if defined __TI_VFP_SUPPORT__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __TASKING__ )
+  #if defined __FPU_VFP__
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#elif defined ( __CSMC__ )
+  #if ( __CSMC__ & 0x400U)
+    #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)"
+  #endif
+
+#endif
+
+#include "core_cmInstr.h"                /* Core Instruction Access */
+#include "core_cmFunc.h"                 /* Core Function Access */
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_SC300_H_GENERIC */
+
+#ifndef __CMSIS_GENERIC
+
+#ifndef __CORE_SC300_H_DEPENDANT
+#define __CORE_SC300_H_DEPENDANT
+
+#ifdef __cplusplus
+ extern "C" {
+#endif
+
+/* check device defines and use defaults */
+#if defined __CHECK_DEVICE_DEFINES
+  #ifndef __SC300_REV
+    #define __SC300_REV               0x0000U
+    #warning "__SC300_REV not defined in device header file; using default!"
+  #endif
+
+  #ifndef __MPU_PRESENT
+    #define __MPU_PRESENT             0U
+    #warning "__MPU_PRESENT not defined in device header file; using default!"
+  #endif
+
+  #ifndef __NVIC_PRIO_BITS
+    #define __NVIC_PRIO_BITS          4U
+    #warning "__NVIC_PRIO_BITS not defined in device header file; using default!"
+  #endif
+
+  #ifndef __Vendor_SysTickConfig
+    #define __Vendor_SysTickConfig    0U
+    #warning "__Vendor_SysTickConfig not defined in device header file; using default!"
+  #endif
+#endif
+
+/* IO definitions (access restrictions to peripheral registers) */
+/**
+    \defgroup CMSIS_glob_defs CMSIS Global Defines
+
+    <strong>IO Type Qualifiers</strong> are used
+    \li to specify the access to peripheral variables.
+    \li for automatic generation of peripheral register debug information.
+*/
+#ifdef __cplusplus
+  #define   __I     volatile             /*!< Defines 'read only' permissions */
+#else
+  #define   __I     volatile const       /*!< Defines 'read only' permissions */
+#endif
+#define     __O     volatile             /*!< Defines 'write only' permissions */
+#define     __IO    volatile             /*!< Defines 'read / write' permissions */
+
+/* following defines should be used for structure members */
+#define     __IM     volatile const      /*! Defines 'read only' structure member permissions */
+#define     __OM     volatile            /*! Defines 'write only' structure member permissions */
+#define     __IOM    volatile            /*! Defines 'read / write' structure member permissions */
+
+/*@} end of group SC300 */
+
+
+
+/*******************************************************************************
+ *                 Register Abstraction
+  Core Register contain:
+  - Core Register
+  - Core NVIC Register
+  - Core SCB Register
+  - Core SysTick Register
+  - Core Debug Register
+  - Core MPU Register
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_core_register Defines and Type Definitions
+  \brief Type definitions and defines for Cortex-M processor based devices.
+*/
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_CORE  Status and Control Registers
+  \brief      Core Register type definitions.
+  @{
+ */
+
+/**
+  \brief  Union type to access the Application Program Status Register (APSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t _reserved0:27;              /*!< bit:  0..26  Reserved */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} APSR_Type;
+
+/* APSR Register Definitions */
+#define APSR_N_Pos                         31U                                            /*!< APSR: N Position */
+#define APSR_N_Msk                         (1UL << APSR_N_Pos)                            /*!< APSR: N Mask */
+
+#define APSR_Z_Pos                         30U                                            /*!< APSR: Z Position */
+#define APSR_Z_Msk                         (1UL << APSR_Z_Pos)                            /*!< APSR: Z Mask */
+
+#define APSR_C_Pos                         29U                                            /*!< APSR: C Position */
+#define APSR_C_Msk                         (1UL << APSR_C_Pos)                            /*!< APSR: C Mask */
+
+#define APSR_V_Pos                         28U                                            /*!< APSR: V Position */
+#define APSR_V_Msk                         (1UL << APSR_V_Pos)                            /*!< APSR: V Mask */
+
+#define APSR_Q_Pos                         27U                                            /*!< APSR: Q Position */
+#define APSR_Q_Msk                         (1UL << APSR_Q_Pos)                            /*!< APSR: Q Mask */
+
+
+/**
+  \brief  Union type to access the Interrupt Program Status Register (IPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:23;              /*!< bit:  9..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} IPSR_Type;
+
+/* IPSR Register Definitions */
+#define IPSR_ISR_Pos                        0U                                            /*!< IPSR: ISR Position */
+#define IPSR_ISR_Msk                       (0x1FFUL /*<< IPSR_ISR_Pos*/)                  /*!< IPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Special-Purpose Program Status Registers (xPSR).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t ISR:9;                      /*!< bit:  0.. 8  Exception number */
+    uint32_t _reserved0:15;              /*!< bit:  9..23  Reserved */
+    uint32_t T:1;                        /*!< bit:     24  Thumb bit        (read 0) */
+    uint32_t IT:2;                       /*!< bit: 25..26  saved IT state   (read 0) */
+    uint32_t Q:1;                        /*!< bit:     27  Saturation condition flag */
+    uint32_t V:1;                        /*!< bit:     28  Overflow condition code flag */
+    uint32_t C:1;                        /*!< bit:     29  Carry condition code flag */
+    uint32_t Z:1;                        /*!< bit:     30  Zero condition code flag */
+    uint32_t N:1;                        /*!< bit:     31  Negative condition code flag */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} xPSR_Type;
+
+/* xPSR Register Definitions */
+#define xPSR_N_Pos                         31U                                            /*!< xPSR: N Position */
+#define xPSR_N_Msk                         (1UL << xPSR_N_Pos)                            /*!< xPSR: N Mask */
+
+#define xPSR_Z_Pos                         30U                                            /*!< xPSR: Z Position */
+#define xPSR_Z_Msk                         (1UL << xPSR_Z_Pos)                            /*!< xPSR: Z Mask */
+
+#define xPSR_C_Pos                         29U                                            /*!< xPSR: C Position */
+#define xPSR_C_Msk                         (1UL << xPSR_C_Pos)                            /*!< xPSR: C Mask */
+
+#define xPSR_V_Pos                         28U                                            /*!< xPSR: V Position */
+#define xPSR_V_Msk                         (1UL << xPSR_V_Pos)                            /*!< xPSR: V Mask */
+
+#define xPSR_Q_Pos                         27U                                            /*!< xPSR: Q Position */
+#define xPSR_Q_Msk                         (1UL << xPSR_Q_Pos)                            /*!< xPSR: Q Mask */
+
+#define xPSR_IT_Pos                        25U                                            /*!< xPSR: IT Position */
+#define xPSR_IT_Msk                        (3UL << xPSR_IT_Pos)                           /*!< xPSR: IT Mask */
+
+#define xPSR_T_Pos                         24U                                            /*!< xPSR: T Position */
+#define xPSR_T_Msk                         (1UL << xPSR_T_Pos)                            /*!< xPSR: T Mask */
+
+#define xPSR_ISR_Pos                        0U                                            /*!< xPSR: ISR Position */
+#define xPSR_ISR_Msk                       (0x1FFUL /*<< xPSR_ISR_Pos*/)                  /*!< xPSR: ISR Mask */
+
+
+/**
+  \brief  Union type to access the Control Registers (CONTROL).
+ */
+typedef union
+{
+  struct
+  {
+    uint32_t nPRIV:1;                    /*!< bit:      0  Execution privilege in Thread mode */
+    uint32_t SPSEL:1;                    /*!< bit:      1  Stack to be used */
+    uint32_t _reserved1:30;              /*!< bit:  2..31  Reserved */
+  } b;                                   /*!< Structure used for bit  access */
+  uint32_t w;                            /*!< Type      used for word access */
+} CONTROL_Type;
+
+/* CONTROL Register Definitions */
+#define CONTROL_SPSEL_Pos                   1U                                            /*!< CONTROL: SPSEL Position */
+#define CONTROL_SPSEL_Msk                  (1UL << CONTROL_SPSEL_Pos)                     /*!< CONTROL: SPSEL Mask */
+
+#define CONTROL_nPRIV_Pos                   0U                                            /*!< CONTROL: nPRIV Position */
+#define CONTROL_nPRIV_Msk                  (1UL /*<< CONTROL_nPRIV_Pos*/)                 /*!< CONTROL: nPRIV Mask */
+
+/*@} end of group CMSIS_CORE */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_NVIC  Nested Vectored Interrupt Controller (NVIC)
+  \brief      Type definitions for the NVIC Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Nested Vectored Interrupt Controller (NVIC).
+ */
+typedef struct
+{
+  __IOM uint32_t ISER[8U];               /*!< Offset: 0x000 (R/W)  Interrupt Set Enable Register */
+        uint32_t RESERVED0[24U];
+  __IOM uint32_t ICER[8U];               /*!< Offset: 0x080 (R/W)  Interrupt Clear Enable Register */
+        uint32_t RSERVED1[24U];
+  __IOM uint32_t ISPR[8U];               /*!< Offset: 0x100 (R/W)  Interrupt Set Pending Register */
+        uint32_t RESERVED2[24U];
+  __IOM uint32_t ICPR[8U];               /*!< Offset: 0x180 (R/W)  Interrupt Clear Pending Register */
+        uint32_t RESERVED3[24U];
+  __IOM uint32_t IABR[8U];               /*!< Offset: 0x200 (R/W)  Interrupt Active bit Register */
+        uint32_t RESERVED4[56U];
+  __IOM uint8_t  IP[240U];               /*!< Offset: 0x300 (R/W)  Interrupt Priority Register (8Bit wide) */
+        uint32_t RESERVED5[644U];
+  __OM  uint32_t STIR;                   /*!< Offset: 0xE00 ( /W)  Software Trigger Interrupt Register */
+}  NVIC_Type;
+
+/* Software Triggered Interrupt Register Definitions */
+#define NVIC_STIR_INTID_Pos                 0U                                         /*!< STIR: INTLINESNUM Position */
+#define NVIC_STIR_INTID_Msk                (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/)        /*!< STIR: INTLINESNUM Mask */
+
+/*@} end of group CMSIS_NVIC */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCB     System Control Block (SCB)
+  \brief    Type definitions for the System Control Block Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control Block (SCB).
+ */
+typedef struct
+{
+  __IM  uint32_t CPUID;                  /*!< Offset: 0x000 (R/ )  CPUID Base Register */
+  __IOM uint32_t ICSR;                   /*!< Offset: 0x004 (R/W)  Interrupt Control and State Register */
+  __IOM uint32_t VTOR;                   /*!< Offset: 0x008 (R/W)  Vector Table Offset Register */
+  __IOM uint32_t AIRCR;                  /*!< Offset: 0x00C (R/W)  Application Interrupt and Reset Control Register */
+  __IOM uint32_t SCR;                    /*!< Offset: 0x010 (R/W)  System Control Register */
+  __IOM uint32_t CCR;                    /*!< Offset: 0x014 (R/W)  Configuration Control Register */
+  __IOM uint8_t  SHP[12U];               /*!< Offset: 0x018 (R/W)  System Handlers Priority Registers (4-7, 8-11, 12-15) */
+  __IOM uint32_t SHCSR;                  /*!< Offset: 0x024 (R/W)  System Handler Control and State Register */
+  __IOM uint32_t CFSR;                   /*!< Offset: 0x028 (R/W)  Configurable Fault Status Register */
+  __IOM uint32_t HFSR;                   /*!< Offset: 0x02C (R/W)  HardFault Status Register */
+  __IOM uint32_t DFSR;                   /*!< Offset: 0x030 (R/W)  Debug Fault Status Register */
+  __IOM uint32_t MMFAR;                  /*!< Offset: 0x034 (R/W)  MemManage Fault Address Register */
+  __IOM uint32_t BFAR;                   /*!< Offset: 0x038 (R/W)  BusFault Address Register */
+  __IOM uint32_t AFSR;                   /*!< Offset: 0x03C (R/W)  Auxiliary Fault Status Register */
+  __IM  uint32_t PFR[2U];                /*!< Offset: 0x040 (R/ )  Processor Feature Register */
+  __IM  uint32_t DFR;                    /*!< Offset: 0x048 (R/ )  Debug Feature Register */
+  __IM  uint32_t ADR;                    /*!< Offset: 0x04C (R/ )  Auxiliary Feature Register */
+  __IM  uint32_t MMFR[4U];               /*!< Offset: 0x050 (R/ )  Memory Model Feature Register */
+  __IM  uint32_t ISAR[5U];               /*!< Offset: 0x060 (R/ )  Instruction Set Attributes Register */
+        uint32_t RESERVED0[5U];
+  __IOM uint32_t CPACR;                  /*!< Offset: 0x088 (R/W)  Coprocessor Access Control Register */
+        uint32_t RESERVED1[129U];
+  __IOM uint32_t SFCR;                   /*!< Offset: 0x290 (R/W)  Security Features Control Register */
+} SCB_Type;
+
+/* SCB CPUID Register Definitions */
+#define SCB_CPUID_IMPLEMENTER_Pos          24U                                            /*!< SCB CPUID: IMPLEMENTER Position */
+#define SCB_CPUID_IMPLEMENTER_Msk          (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos)          /*!< SCB CPUID: IMPLEMENTER Mask */
+
+#define SCB_CPUID_VARIANT_Pos              20U                                            /*!< SCB CPUID: VARIANT Position */
+#define SCB_CPUID_VARIANT_Msk              (0xFUL << SCB_CPUID_VARIANT_Pos)               /*!< SCB CPUID: VARIANT Mask */
+
+#define SCB_CPUID_ARCHITECTURE_Pos         16U                                            /*!< SCB CPUID: ARCHITECTURE Position */
+#define SCB_CPUID_ARCHITECTURE_Msk         (0xFUL << SCB_CPUID_ARCHITECTURE_Pos)          /*!< SCB CPUID: ARCHITECTURE Mask */
+
+#define SCB_CPUID_PARTNO_Pos                4U                                            /*!< SCB CPUID: PARTNO Position */
+#define SCB_CPUID_PARTNO_Msk               (0xFFFUL << SCB_CPUID_PARTNO_Pos)              /*!< SCB CPUID: PARTNO Mask */
+
+#define SCB_CPUID_REVISION_Pos              0U                                            /*!< SCB CPUID: REVISION Position */
+#define SCB_CPUID_REVISION_Msk             (0xFUL /*<< SCB_CPUID_REVISION_Pos*/)          /*!< SCB CPUID: REVISION Mask */
+
+/* SCB Interrupt Control State Register Definitions */
+#define SCB_ICSR_NMIPENDSET_Pos            31U                                            /*!< SCB ICSR: NMIPENDSET Position */
+#define SCB_ICSR_NMIPENDSET_Msk            (1UL << SCB_ICSR_NMIPENDSET_Pos)               /*!< SCB ICSR: NMIPENDSET Mask */
+
+#define SCB_ICSR_PENDSVSET_Pos             28U                                            /*!< SCB ICSR: PENDSVSET Position */
+#define SCB_ICSR_PENDSVSET_Msk             (1UL << SCB_ICSR_PENDSVSET_Pos)                /*!< SCB ICSR: PENDSVSET Mask */
+
+#define SCB_ICSR_PENDSVCLR_Pos             27U                                            /*!< SCB ICSR: PENDSVCLR Position */
+#define SCB_ICSR_PENDSVCLR_Msk             (1UL << SCB_ICSR_PENDSVCLR_Pos)                /*!< SCB ICSR: PENDSVCLR Mask */
+
+#define SCB_ICSR_PENDSTSET_Pos             26U                                            /*!< SCB ICSR: PENDSTSET Position */
+#define SCB_ICSR_PENDSTSET_Msk             (1UL << SCB_ICSR_PENDSTSET_Pos)                /*!< SCB ICSR: PENDSTSET Mask */
+
+#define SCB_ICSR_PENDSTCLR_Pos             25U                                            /*!< SCB ICSR: PENDSTCLR Position */
+#define SCB_ICSR_PENDSTCLR_Msk             (1UL << SCB_ICSR_PENDSTCLR_Pos)                /*!< SCB ICSR: PENDSTCLR Mask */
+
+#define SCB_ICSR_ISRPREEMPT_Pos            23U                                            /*!< SCB ICSR: ISRPREEMPT Position */
+#define SCB_ICSR_ISRPREEMPT_Msk            (1UL << SCB_ICSR_ISRPREEMPT_Pos)               /*!< SCB ICSR: ISRPREEMPT Mask */
+
+#define SCB_ICSR_ISRPENDING_Pos            22U                                            /*!< SCB ICSR: ISRPENDING Position */
+#define SCB_ICSR_ISRPENDING_Msk            (1UL << SCB_ICSR_ISRPENDING_Pos)               /*!< SCB ICSR: ISRPENDING Mask */
+
+#define SCB_ICSR_VECTPENDING_Pos           12U                                            /*!< SCB ICSR: VECTPENDING Position */
+#define SCB_ICSR_VECTPENDING_Msk           (0x1FFUL << SCB_ICSR_VECTPENDING_Pos)          /*!< SCB ICSR: VECTPENDING Mask */
+
+#define SCB_ICSR_RETTOBASE_Pos             11U                                            /*!< SCB ICSR: RETTOBASE Position */
+#define SCB_ICSR_RETTOBASE_Msk             (1UL << SCB_ICSR_RETTOBASE_Pos)                /*!< SCB ICSR: RETTOBASE Mask */
+
+#define SCB_ICSR_VECTACTIVE_Pos             0U                                            /*!< SCB ICSR: VECTACTIVE Position */
+#define SCB_ICSR_VECTACTIVE_Msk            (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/)       /*!< SCB ICSR: VECTACTIVE Mask */
+
+/* SCB Vector Table Offset Register Definitions */
+#define SCB_VTOR_TBLBASE_Pos               29U                                            /*!< SCB VTOR: TBLBASE Position */
+#define SCB_VTOR_TBLBASE_Msk               (1UL << SCB_VTOR_TBLBASE_Pos)                  /*!< SCB VTOR: TBLBASE Mask */
+
+#define SCB_VTOR_TBLOFF_Pos                 7U                                            /*!< SCB VTOR: TBLOFF Position */
+#define SCB_VTOR_TBLOFF_Msk                (0x3FFFFFUL << SCB_VTOR_TBLOFF_Pos)            /*!< SCB VTOR: TBLOFF Mask */
+
+/* SCB Application Interrupt and Reset Control Register Definitions */
+#define SCB_AIRCR_VECTKEY_Pos              16U                                            /*!< SCB AIRCR: VECTKEY Position */
+#define SCB_AIRCR_VECTKEY_Msk              (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos)            /*!< SCB AIRCR: VECTKEY Mask */
+
+#define SCB_AIRCR_VECTKEYSTAT_Pos          16U                                            /*!< SCB AIRCR: VECTKEYSTAT Position */
+#define SCB_AIRCR_VECTKEYSTAT_Msk          (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos)        /*!< SCB AIRCR: VECTKEYSTAT Mask */
+
+#define SCB_AIRCR_ENDIANESS_Pos            15U                                            /*!< SCB AIRCR: ENDIANESS Position */
+#define SCB_AIRCR_ENDIANESS_Msk            (1UL << SCB_AIRCR_ENDIANESS_Pos)               /*!< SCB AIRCR: ENDIANESS Mask */
+
+#define SCB_AIRCR_PRIGROUP_Pos              8U                                            /*!< SCB AIRCR: PRIGROUP Position */
+#define SCB_AIRCR_PRIGROUP_Msk             (7UL << SCB_AIRCR_PRIGROUP_Pos)                /*!< SCB AIRCR: PRIGROUP Mask */
+
+#define SCB_AIRCR_SYSRESETREQ_Pos           2U                                            /*!< SCB AIRCR: SYSRESETREQ Position */
+#define SCB_AIRCR_SYSRESETREQ_Msk          (1UL << SCB_AIRCR_SYSRESETREQ_Pos)             /*!< SCB AIRCR: SYSRESETREQ Mask */
+
+#define SCB_AIRCR_VECTCLRACTIVE_Pos         1U                                            /*!< SCB AIRCR: VECTCLRACTIVE Position */
+#define SCB_AIRCR_VECTCLRACTIVE_Msk        (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos)           /*!< SCB AIRCR: VECTCLRACTIVE Mask */
+
+#define SCB_AIRCR_VECTRESET_Pos             0U                                            /*!< SCB AIRCR: VECTRESET Position */
+#define SCB_AIRCR_VECTRESET_Msk            (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/)           /*!< SCB AIRCR: VECTRESET Mask */
+
+/* SCB System Control Register Definitions */
+#define SCB_SCR_SEVONPEND_Pos               4U                                            /*!< SCB SCR: SEVONPEND Position */
+#define SCB_SCR_SEVONPEND_Msk              (1UL << SCB_SCR_SEVONPEND_Pos)                 /*!< SCB SCR: SEVONPEND Mask */
+
+#define SCB_SCR_SLEEPDEEP_Pos               2U                                            /*!< SCB SCR: SLEEPDEEP Position */
+#define SCB_SCR_SLEEPDEEP_Msk              (1UL << SCB_SCR_SLEEPDEEP_Pos)                 /*!< SCB SCR: SLEEPDEEP Mask */
+
+#define SCB_SCR_SLEEPONEXIT_Pos             1U                                            /*!< SCB SCR: SLEEPONEXIT Position */
+#define SCB_SCR_SLEEPONEXIT_Msk            (1UL << SCB_SCR_SLEEPONEXIT_Pos)               /*!< SCB SCR: SLEEPONEXIT Mask */
+
+/* SCB Configuration Control Register Definitions */
+#define SCB_CCR_STKALIGN_Pos                9U                                            /*!< SCB CCR: STKALIGN Position */
+#define SCB_CCR_STKALIGN_Msk               (1UL << SCB_CCR_STKALIGN_Pos)                  /*!< SCB CCR: STKALIGN Mask */
+
+#define SCB_CCR_BFHFNMIGN_Pos               8U                                            /*!< SCB CCR: BFHFNMIGN Position */
+#define SCB_CCR_BFHFNMIGN_Msk              (1UL << SCB_CCR_BFHFNMIGN_Pos)                 /*!< SCB CCR: BFHFNMIGN Mask */
+
+#define SCB_CCR_DIV_0_TRP_Pos               4U                                            /*!< SCB CCR: DIV_0_TRP Position */
+#define SCB_CCR_DIV_0_TRP_Msk              (1UL << SCB_CCR_DIV_0_TRP_Pos)                 /*!< SCB CCR: DIV_0_TRP Mask */
+
+#define SCB_CCR_UNALIGN_TRP_Pos             3U                                            /*!< SCB CCR: UNALIGN_TRP Position */
+#define SCB_CCR_UNALIGN_TRP_Msk            (1UL << SCB_CCR_UNALIGN_TRP_Pos)               /*!< SCB CCR: UNALIGN_TRP Mask */
+
+#define SCB_CCR_USERSETMPEND_Pos            1U                                            /*!< SCB CCR: USERSETMPEND Position */
+#define SCB_CCR_USERSETMPEND_Msk           (1UL << SCB_CCR_USERSETMPEND_Pos)              /*!< SCB CCR: USERSETMPEND Mask */
+
+#define SCB_CCR_NONBASETHRDENA_Pos          0U                                            /*!< SCB CCR: NONBASETHRDENA Position */
+#define SCB_CCR_NONBASETHRDENA_Msk         (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/)        /*!< SCB CCR: NONBASETHRDENA Mask */
+
+/* SCB System Handler Control and State Register Definitions */
+#define SCB_SHCSR_USGFAULTENA_Pos          18U                                            /*!< SCB SHCSR: USGFAULTENA Position */
+#define SCB_SHCSR_USGFAULTENA_Msk          (1UL << SCB_SHCSR_USGFAULTENA_Pos)             /*!< SCB SHCSR: USGFAULTENA Mask */
+
+#define SCB_SHCSR_BUSFAULTENA_Pos          17U                                            /*!< SCB SHCSR: BUSFAULTENA Position */
+#define SCB_SHCSR_BUSFAULTENA_Msk          (1UL << SCB_SHCSR_BUSFAULTENA_Pos)             /*!< SCB SHCSR: BUSFAULTENA Mask */
+
+#define SCB_SHCSR_MEMFAULTENA_Pos          16U                                            /*!< SCB SHCSR: MEMFAULTENA Position */
+#define SCB_SHCSR_MEMFAULTENA_Msk          (1UL << SCB_SHCSR_MEMFAULTENA_Pos)             /*!< SCB SHCSR: MEMFAULTENA Mask */
+
+#define SCB_SHCSR_SVCALLPENDED_Pos         15U                                            /*!< SCB SHCSR: SVCALLPENDED Position */
+#define SCB_SHCSR_SVCALLPENDED_Msk         (1UL << SCB_SHCSR_SVCALLPENDED_Pos)            /*!< SCB SHCSR: SVCALLPENDED Mask */
+
+#define SCB_SHCSR_BUSFAULTPENDED_Pos       14U                                            /*!< SCB SHCSR: BUSFAULTPENDED Position */
+#define SCB_SHCSR_BUSFAULTPENDED_Msk       (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos)          /*!< SCB SHCSR: BUSFAULTPENDED Mask */
+
+#define SCB_SHCSR_MEMFAULTPENDED_Pos       13U                                            /*!< SCB SHCSR: MEMFAULTPENDED Position */
+#define SCB_SHCSR_MEMFAULTPENDED_Msk       (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos)          /*!< SCB SHCSR: MEMFAULTPENDED Mask */
+
+#define SCB_SHCSR_USGFAULTPENDED_Pos       12U                                            /*!< SCB SHCSR: USGFAULTPENDED Position */
+#define SCB_SHCSR_USGFAULTPENDED_Msk       (1UL << SCB_SHCSR_USGFAULTPENDED_Pos)          /*!< SCB SHCSR: USGFAULTPENDED Mask */
+
+#define SCB_SHCSR_SYSTICKACT_Pos           11U                                            /*!< SCB SHCSR: SYSTICKACT Position */
+#define SCB_SHCSR_SYSTICKACT_Msk           (1UL << SCB_SHCSR_SYSTICKACT_Pos)              /*!< SCB SHCSR: SYSTICKACT Mask */
+
+#define SCB_SHCSR_PENDSVACT_Pos            10U                                            /*!< SCB SHCSR: PENDSVACT Position */
+#define SCB_SHCSR_PENDSVACT_Msk            (1UL << SCB_SHCSR_PENDSVACT_Pos)               /*!< SCB SHCSR: PENDSVACT Mask */
+
+#define SCB_SHCSR_MONITORACT_Pos            8U                                            /*!< SCB SHCSR: MONITORACT Position */
+#define SCB_SHCSR_MONITORACT_Msk           (1UL << SCB_SHCSR_MONITORACT_Pos)              /*!< SCB SHCSR: MONITORACT Mask */
+
+#define SCB_SHCSR_SVCALLACT_Pos             7U                                            /*!< SCB SHCSR: SVCALLACT Position */
+#define SCB_SHCSR_SVCALLACT_Msk            (1UL << SCB_SHCSR_SVCALLACT_Pos)               /*!< SCB SHCSR: SVCALLACT Mask */
+
+#define SCB_SHCSR_USGFAULTACT_Pos           3U                                            /*!< SCB SHCSR: USGFAULTACT Position */
+#define SCB_SHCSR_USGFAULTACT_Msk          (1UL << SCB_SHCSR_USGFAULTACT_Pos)             /*!< SCB SHCSR: USGFAULTACT Mask */
+
+#define SCB_SHCSR_BUSFAULTACT_Pos           1U                                            /*!< SCB SHCSR: BUSFAULTACT Position */
+#define SCB_SHCSR_BUSFAULTACT_Msk          (1UL << SCB_SHCSR_BUSFAULTACT_Pos)             /*!< SCB SHCSR: BUSFAULTACT Mask */
+
+#define SCB_SHCSR_MEMFAULTACT_Pos           0U                                            /*!< SCB SHCSR: MEMFAULTACT Position */
+#define SCB_SHCSR_MEMFAULTACT_Msk          (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/)         /*!< SCB SHCSR: MEMFAULTACT Mask */
+
+/* SCB Configurable Fault Status Register Definitions */
+#define SCB_CFSR_USGFAULTSR_Pos            16U                                            /*!< SCB CFSR: Usage Fault Status Register Position */
+#define SCB_CFSR_USGFAULTSR_Msk            (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos)          /*!< SCB CFSR: Usage Fault Status Register Mask */
+
+#define SCB_CFSR_BUSFAULTSR_Pos             8U                                            /*!< SCB CFSR: Bus Fault Status Register Position */
+#define SCB_CFSR_BUSFAULTSR_Msk            (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos)            /*!< SCB CFSR: Bus Fault Status Register Mask */
+
+#define SCB_CFSR_MEMFAULTSR_Pos             0U                                            /*!< SCB CFSR: Memory Manage Fault Status Register Position */
+#define SCB_CFSR_MEMFAULTSR_Msk            (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/)        /*!< SCB CFSR: Memory Manage Fault Status Register Mask */
+
+/* SCB Hard Fault Status Register Definitions */
+#define SCB_HFSR_DEBUGEVT_Pos              31U                                            /*!< SCB HFSR: DEBUGEVT Position */
+#define SCB_HFSR_DEBUGEVT_Msk              (1UL << SCB_HFSR_DEBUGEVT_Pos)                 /*!< SCB HFSR: DEBUGEVT Mask */
+
+#define SCB_HFSR_FORCED_Pos                30U                                            /*!< SCB HFSR: FORCED Position */
+#define SCB_HFSR_FORCED_Msk                (1UL << SCB_HFSR_FORCED_Pos)                   /*!< SCB HFSR: FORCED Mask */
+
+#define SCB_HFSR_VECTTBL_Pos                1U                                            /*!< SCB HFSR: VECTTBL Position */
+#define SCB_HFSR_VECTTBL_Msk               (1UL << SCB_HFSR_VECTTBL_Pos)                  /*!< SCB HFSR: VECTTBL Mask */
+
+/* SCB Debug Fault Status Register Definitions */
+#define SCB_DFSR_EXTERNAL_Pos               4U                                            /*!< SCB DFSR: EXTERNAL Position */
+#define SCB_DFSR_EXTERNAL_Msk              (1UL << SCB_DFSR_EXTERNAL_Pos)                 /*!< SCB DFSR: EXTERNAL Mask */
+
+#define SCB_DFSR_VCATCH_Pos                 3U                                            /*!< SCB DFSR: VCATCH Position */
+#define SCB_DFSR_VCATCH_Msk                (1UL << SCB_DFSR_VCATCH_Pos)                   /*!< SCB DFSR: VCATCH Mask */
+
+#define SCB_DFSR_DWTTRAP_Pos                2U                                            /*!< SCB DFSR: DWTTRAP Position */
+#define SCB_DFSR_DWTTRAP_Msk               (1UL << SCB_DFSR_DWTTRAP_Pos)                  /*!< SCB DFSR: DWTTRAP Mask */
+
+#define SCB_DFSR_BKPT_Pos                   1U                                            /*!< SCB DFSR: BKPT Position */
+#define SCB_DFSR_BKPT_Msk                  (1UL << SCB_DFSR_BKPT_Pos)                     /*!< SCB DFSR: BKPT Mask */
+
+#define SCB_DFSR_HALTED_Pos                 0U                                            /*!< SCB DFSR: HALTED Position */
+#define SCB_DFSR_HALTED_Msk                (1UL /*<< SCB_DFSR_HALTED_Pos*/)               /*!< SCB DFSR: HALTED Mask */
+
+/*@} end of group CMSIS_SCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB)
+  \brief    Type definitions for the System Control and ID Register not in the SCB
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Control and ID Register not in the SCB.
+ */
+typedef struct
+{
+        uint32_t RESERVED0[1U];
+  __IM  uint32_t ICTR;                   /*!< Offset: 0x004 (R/ )  Interrupt Controller Type Register */
+        uint32_t RESERVED1[1U];
+} SCnSCB_Type;
+
+/* Interrupt Controller Type Register Definitions */
+#define SCnSCB_ICTR_INTLINESNUM_Pos         0U                                         /*!< ICTR: INTLINESNUM Position */
+#define SCnSCB_ICTR_INTLINESNUM_Msk        (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/)  /*!< ICTR: INTLINESNUM Mask */
+
+/*@} end of group CMSIS_SCnotSCB */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_SysTick     System Tick Timer (SysTick)
+  \brief    Type definitions for the System Timer Registers.
+  @{
+ */
+
+/**
+  \brief  Structure type to access the System Timer (SysTick).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  SysTick Control and Status Register */
+  __IOM uint32_t LOAD;                   /*!< Offset: 0x004 (R/W)  SysTick Reload Value Register */
+  __IOM uint32_t VAL;                    /*!< Offset: 0x008 (R/W)  SysTick Current Value Register */
+  __IM  uint32_t CALIB;                  /*!< Offset: 0x00C (R/ )  SysTick Calibration Register */
+} SysTick_Type;
+
+/* SysTick Control / Status Register Definitions */
+#define SysTick_CTRL_COUNTFLAG_Pos         16U                                            /*!< SysTick CTRL: COUNTFLAG Position */
+#define SysTick_CTRL_COUNTFLAG_Msk         (1UL << SysTick_CTRL_COUNTFLAG_Pos)            /*!< SysTick CTRL: COUNTFLAG Mask */
+
+#define SysTick_CTRL_CLKSOURCE_Pos          2U                                            /*!< SysTick CTRL: CLKSOURCE Position */
+#define SysTick_CTRL_CLKSOURCE_Msk         (1UL << SysTick_CTRL_CLKSOURCE_Pos)            /*!< SysTick CTRL: CLKSOURCE Mask */
+
+#define SysTick_CTRL_TICKINT_Pos            1U                                            /*!< SysTick CTRL: TICKINT Position */
+#define SysTick_CTRL_TICKINT_Msk           (1UL << SysTick_CTRL_TICKINT_Pos)              /*!< SysTick CTRL: TICKINT Mask */
+
+#define SysTick_CTRL_ENABLE_Pos             0U                                            /*!< SysTick CTRL: ENABLE Position */
+#define SysTick_CTRL_ENABLE_Msk            (1UL /*<< SysTick_CTRL_ENABLE_Pos*/)           /*!< SysTick CTRL: ENABLE Mask */
+
+/* SysTick Reload Register Definitions */
+#define SysTick_LOAD_RELOAD_Pos             0U                                            /*!< SysTick LOAD: RELOAD Position */
+#define SysTick_LOAD_RELOAD_Msk            (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/)    /*!< SysTick LOAD: RELOAD Mask */
+
+/* SysTick Current Register Definitions */
+#define SysTick_VAL_CURRENT_Pos             0U                                            /*!< SysTick VAL: CURRENT Position */
+#define SysTick_VAL_CURRENT_Msk            (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/)    /*!< SysTick VAL: CURRENT Mask */
+
+/* SysTick Calibration Register Definitions */
+#define SysTick_CALIB_NOREF_Pos            31U                                            /*!< SysTick CALIB: NOREF Position */
+#define SysTick_CALIB_NOREF_Msk            (1UL << SysTick_CALIB_NOREF_Pos)               /*!< SysTick CALIB: NOREF Mask */
+
+#define SysTick_CALIB_SKEW_Pos             30U                                            /*!< SysTick CALIB: SKEW Position */
+#define SysTick_CALIB_SKEW_Msk             (1UL << SysTick_CALIB_SKEW_Pos)                /*!< SysTick CALIB: SKEW Mask */
+
+#define SysTick_CALIB_TENMS_Pos             0U                                            /*!< SysTick CALIB: TENMS Position */
+#define SysTick_CALIB_TENMS_Msk            (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/)    /*!< SysTick CALIB: TENMS Mask */
+
+/*@} end of group CMSIS_SysTick */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_ITM     Instrumentation Trace Macrocell (ITM)
+  \brief    Type definitions for the Instrumentation Trace Macrocell (ITM)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Instrumentation Trace Macrocell Register (ITM).
+ */
+typedef struct
+{
+  __OM  union
+  {
+    __OM  uint8_t    u8;                 /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 8-bit */
+    __OM  uint16_t   u16;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 16-bit */
+    __OM  uint32_t   u32;                /*!< Offset: 0x000 ( /W)  ITM Stimulus Port 32-bit */
+  }  PORT [32U];                         /*!< Offset: 0x000 ( /W)  ITM Stimulus Port Registers */
+        uint32_t RESERVED0[864U];
+  __IOM uint32_t TER;                    /*!< Offset: 0xE00 (R/W)  ITM Trace Enable Register */
+        uint32_t RESERVED1[15U];
+  __IOM uint32_t TPR;                    /*!< Offset: 0xE40 (R/W)  ITM Trace Privilege Register */
+        uint32_t RESERVED2[15U];
+  __IOM uint32_t TCR;                    /*!< Offset: 0xE80 (R/W)  ITM Trace Control Register */
+        uint32_t RESERVED3[29U];
+  __OM  uint32_t IWR;                    /*!< Offset: 0xEF8 ( /W)  ITM Integration Write Register */
+  __IM  uint32_t IRR;                    /*!< Offset: 0xEFC (R/ )  ITM Integration Read Register */
+  __IOM uint32_t IMCR;                   /*!< Offset: 0xF00 (R/W)  ITM Integration Mode Control Register */
+        uint32_t RESERVED4[43U];
+  __OM  uint32_t LAR;                    /*!< Offset: 0xFB0 ( /W)  ITM Lock Access Register */
+  __IM  uint32_t LSR;                    /*!< Offset: 0xFB4 (R/ )  ITM Lock Status Register */
+        uint32_t RESERVED5[6U];
+  __IM  uint32_t PID4;                   /*!< Offset: 0xFD0 (R/ )  ITM Peripheral Identification Register #4 */
+  __IM  uint32_t PID5;                   /*!< Offset: 0xFD4 (R/ )  ITM Peripheral Identification Register #5 */
+  __IM  uint32_t PID6;                   /*!< Offset: 0xFD8 (R/ )  ITM Peripheral Identification Register #6 */
+  __IM  uint32_t PID7;                   /*!< Offset: 0xFDC (R/ )  ITM Peripheral Identification Register #7 */
+  __IM  uint32_t PID0;                   /*!< Offset: 0xFE0 (R/ )  ITM Peripheral Identification Register #0 */
+  __IM  uint32_t PID1;                   /*!< Offset: 0xFE4 (R/ )  ITM Peripheral Identification Register #1 */
+  __IM  uint32_t PID2;                   /*!< Offset: 0xFE8 (R/ )  ITM Peripheral Identification Register #2 */
+  __IM  uint32_t PID3;                   /*!< Offset: 0xFEC (R/ )  ITM Peripheral Identification Register #3 */
+  __IM  uint32_t CID0;                   /*!< Offset: 0xFF0 (R/ )  ITM Component  Identification Register #0 */
+  __IM  uint32_t CID1;                   /*!< Offset: 0xFF4 (R/ )  ITM Component  Identification Register #1 */
+  __IM  uint32_t CID2;                   /*!< Offset: 0xFF8 (R/ )  ITM Component  Identification Register #2 */
+  __IM  uint32_t CID3;                   /*!< Offset: 0xFFC (R/ )  ITM Component  Identification Register #3 */
+} ITM_Type;
+
+/* ITM Trace Privilege Register Definitions */
+#define ITM_TPR_PRIVMASK_Pos                0U                                            /*!< ITM TPR: PRIVMASK Position */
+#define ITM_TPR_PRIVMASK_Msk               (0xFUL /*<< ITM_TPR_PRIVMASK_Pos*/)            /*!< ITM TPR: PRIVMASK Mask */
+
+/* ITM Trace Control Register Definitions */
+#define ITM_TCR_BUSY_Pos                   23U                                            /*!< ITM TCR: BUSY Position */
+#define ITM_TCR_BUSY_Msk                   (1UL << ITM_TCR_BUSY_Pos)                      /*!< ITM TCR: BUSY Mask */
+
+#define ITM_TCR_TraceBusID_Pos             16U                                            /*!< ITM TCR: ATBID Position */
+#define ITM_TCR_TraceBusID_Msk             (0x7FUL << ITM_TCR_TraceBusID_Pos)             /*!< ITM TCR: ATBID Mask */
+
+#define ITM_TCR_GTSFREQ_Pos                10U                                            /*!< ITM TCR: Global timestamp frequency Position */
+#define ITM_TCR_GTSFREQ_Msk                (3UL << ITM_TCR_GTSFREQ_Pos)                   /*!< ITM TCR: Global timestamp frequency Mask */
+
+#define ITM_TCR_TSPrescale_Pos              8U                                            /*!< ITM TCR: TSPrescale Position */
+#define ITM_TCR_TSPrescale_Msk             (3UL << ITM_TCR_TSPrescale_Pos)                /*!< ITM TCR: TSPrescale Mask */
+
+#define ITM_TCR_SWOENA_Pos                  4U                                            /*!< ITM TCR: SWOENA Position */
+#define ITM_TCR_SWOENA_Msk                 (1UL << ITM_TCR_SWOENA_Pos)                    /*!< ITM TCR: SWOENA Mask */
+
+#define ITM_TCR_DWTENA_Pos                  3U                                            /*!< ITM TCR: DWTENA Position */
+#define ITM_TCR_DWTENA_Msk                 (1UL << ITM_TCR_DWTENA_Pos)                    /*!< ITM TCR: DWTENA Mask */
+
+#define ITM_TCR_SYNCENA_Pos                 2U                                            /*!< ITM TCR: SYNCENA Position */
+#define ITM_TCR_SYNCENA_Msk                (1UL << ITM_TCR_SYNCENA_Pos)                   /*!< ITM TCR: SYNCENA Mask */
+
+#define ITM_TCR_TSENA_Pos                   1U                                            /*!< ITM TCR: TSENA Position */
+#define ITM_TCR_TSENA_Msk                  (1UL << ITM_TCR_TSENA_Pos)                     /*!< ITM TCR: TSENA Mask */
+
+#define ITM_TCR_ITMENA_Pos                  0U                                            /*!< ITM TCR: ITM Enable bit Position */
+#define ITM_TCR_ITMENA_Msk                 (1UL /*<< ITM_TCR_ITMENA_Pos*/)                /*!< ITM TCR: ITM Enable bit Mask */
+
+/* ITM Integration Write Register Definitions */
+#define ITM_IWR_ATVALIDM_Pos                0U                                            /*!< ITM IWR: ATVALIDM Position */
+#define ITM_IWR_ATVALIDM_Msk               (1UL /*<< ITM_IWR_ATVALIDM_Pos*/)              /*!< ITM IWR: ATVALIDM Mask */
+
+/* ITM Integration Read Register Definitions */
+#define ITM_IRR_ATREADYM_Pos                0U                                            /*!< ITM IRR: ATREADYM Position */
+#define ITM_IRR_ATREADYM_Msk               (1UL /*<< ITM_IRR_ATREADYM_Pos*/)              /*!< ITM IRR: ATREADYM Mask */
+
+/* ITM Integration Mode Control Register Definitions */
+#define ITM_IMCR_INTEGRATION_Pos            0U                                            /*!< ITM IMCR: INTEGRATION Position */
+#define ITM_IMCR_INTEGRATION_Msk           (1UL /*<< ITM_IMCR_INTEGRATION_Pos*/)          /*!< ITM IMCR: INTEGRATION Mask */
+
+/* ITM Lock Status Register Definitions */
+#define ITM_LSR_ByteAcc_Pos                 2U                                            /*!< ITM LSR: ByteAcc Position */
+#define ITM_LSR_ByteAcc_Msk                (1UL << ITM_LSR_ByteAcc_Pos)                   /*!< ITM LSR: ByteAcc Mask */
+
+#define ITM_LSR_Access_Pos                  1U                                            /*!< ITM LSR: Access Position */
+#define ITM_LSR_Access_Msk                 (1UL << ITM_LSR_Access_Pos)                    /*!< ITM LSR: Access Mask */
+
+#define ITM_LSR_Present_Pos                 0U                                            /*!< ITM LSR: Present Position */
+#define ITM_LSR_Present_Msk                (1UL /*<< ITM_LSR_Present_Pos*/)               /*!< ITM LSR: Present Mask */
+
+/*@}*/ /* end of group CMSIS_ITM */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_DWT     Data Watchpoint and Trace (DWT)
+  \brief    Type definitions for the Data Watchpoint and Trace (DWT)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Data Watchpoint and Trace Register (DWT).
+ */
+typedef struct
+{
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x000 (R/W)  Control Register */
+  __IOM uint32_t CYCCNT;                 /*!< Offset: 0x004 (R/W)  Cycle Count Register */
+  __IOM uint32_t CPICNT;                 /*!< Offset: 0x008 (R/W)  CPI Count Register */
+  __IOM uint32_t EXCCNT;                 /*!< Offset: 0x00C (R/W)  Exception Overhead Count Register */
+  __IOM uint32_t SLEEPCNT;               /*!< Offset: 0x010 (R/W)  Sleep Count Register */
+  __IOM uint32_t LSUCNT;                 /*!< Offset: 0x014 (R/W)  LSU Count Register */
+  __IOM uint32_t FOLDCNT;                /*!< Offset: 0x018 (R/W)  Folded-instruction Count Register */
+  __IM  uint32_t PCSR;                   /*!< Offset: 0x01C (R/ )  Program Counter Sample Register */
+  __IOM uint32_t COMP0;                  /*!< Offset: 0x020 (R/W)  Comparator Register 0 */
+  __IOM uint32_t MASK0;                  /*!< Offset: 0x024 (R/W)  Mask Register 0 */
+  __IOM uint32_t FUNCTION0;              /*!< Offset: 0x028 (R/W)  Function Register 0 */
+        uint32_t RESERVED0[1U];
+  __IOM uint32_t COMP1;                  /*!< Offset: 0x030 (R/W)  Comparator Register 1 */
+  __IOM uint32_t MASK1;                  /*!< Offset: 0x034 (R/W)  Mask Register 1 */
+  __IOM uint32_t FUNCTION1;              /*!< Offset: 0x038 (R/W)  Function Register 1 */
+        uint32_t RESERVED1[1U];
+  __IOM uint32_t COMP2;                  /*!< Offset: 0x040 (R/W)  Comparator Register 2 */
+  __IOM uint32_t MASK2;                  /*!< Offset: 0x044 (R/W)  Mask Register 2 */
+  __IOM uint32_t FUNCTION2;              /*!< Offset: 0x048 (R/W)  Function Register 2 */
+        uint32_t RESERVED2[1U];
+  __IOM uint32_t COMP3;                  /*!< Offset: 0x050 (R/W)  Comparator Register 3 */
+  __IOM uint32_t MASK3;                  /*!< Offset: 0x054 (R/W)  Mask Register 3 */
+  __IOM uint32_t FUNCTION3;              /*!< Offset: 0x058 (R/W)  Function Register 3 */
+} DWT_Type;
+
+/* DWT Control Register Definitions */
+#define DWT_CTRL_NUMCOMP_Pos               28U                                         /*!< DWT CTRL: NUMCOMP Position */
+#define DWT_CTRL_NUMCOMP_Msk               (0xFUL << DWT_CTRL_NUMCOMP_Pos)             /*!< DWT CTRL: NUMCOMP Mask */
+
+#define DWT_CTRL_NOTRCPKT_Pos              27U                                         /*!< DWT CTRL: NOTRCPKT Position */
+#define DWT_CTRL_NOTRCPKT_Msk              (0x1UL << DWT_CTRL_NOTRCPKT_Pos)            /*!< DWT CTRL: NOTRCPKT Mask */
+
+#define DWT_CTRL_NOEXTTRIG_Pos             26U                                         /*!< DWT CTRL: NOEXTTRIG Position */
+#define DWT_CTRL_NOEXTTRIG_Msk             (0x1UL << DWT_CTRL_NOEXTTRIG_Pos)           /*!< DWT CTRL: NOEXTTRIG Mask */
+
+#define DWT_CTRL_NOCYCCNT_Pos              25U                                         /*!< DWT CTRL: NOCYCCNT Position */
+#define DWT_CTRL_NOCYCCNT_Msk              (0x1UL << DWT_CTRL_NOCYCCNT_Pos)            /*!< DWT CTRL: NOCYCCNT Mask */
+
+#define DWT_CTRL_NOPRFCNT_Pos              24U                                         /*!< DWT CTRL: NOPRFCNT Position */
+#define DWT_CTRL_NOPRFCNT_Msk              (0x1UL << DWT_CTRL_NOPRFCNT_Pos)            /*!< DWT CTRL: NOPRFCNT Mask */
+
+#define DWT_CTRL_CYCEVTENA_Pos             22U                                         /*!< DWT CTRL: CYCEVTENA Position */
+#define DWT_CTRL_CYCEVTENA_Msk             (0x1UL << DWT_CTRL_CYCEVTENA_Pos)           /*!< DWT CTRL: CYCEVTENA Mask */
+
+#define DWT_CTRL_FOLDEVTENA_Pos            21U                                         /*!< DWT CTRL: FOLDEVTENA Position */
+#define DWT_CTRL_FOLDEVTENA_Msk            (0x1UL << DWT_CTRL_FOLDEVTENA_Pos)          /*!< DWT CTRL: FOLDEVTENA Mask */
+
+#define DWT_CTRL_LSUEVTENA_Pos             20U                                         /*!< DWT CTRL: LSUEVTENA Position */
+#define DWT_CTRL_LSUEVTENA_Msk             (0x1UL << DWT_CTRL_LSUEVTENA_Pos)           /*!< DWT CTRL: LSUEVTENA Mask */
+
+#define DWT_CTRL_SLEEPEVTENA_Pos           19U                                         /*!< DWT CTRL: SLEEPEVTENA Position */
+#define DWT_CTRL_SLEEPEVTENA_Msk           (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos)         /*!< DWT CTRL: SLEEPEVTENA Mask */
+
+#define DWT_CTRL_EXCEVTENA_Pos             18U                                         /*!< DWT CTRL: EXCEVTENA Position */
+#define DWT_CTRL_EXCEVTENA_Msk             (0x1UL << DWT_CTRL_EXCEVTENA_Pos)           /*!< DWT CTRL: EXCEVTENA Mask */
+
+#define DWT_CTRL_CPIEVTENA_Pos             17U                                         /*!< DWT CTRL: CPIEVTENA Position */
+#define DWT_CTRL_CPIEVTENA_Msk             (0x1UL << DWT_CTRL_CPIEVTENA_Pos)           /*!< DWT CTRL: CPIEVTENA Mask */
+
+#define DWT_CTRL_EXCTRCENA_Pos             16U                                         /*!< DWT CTRL: EXCTRCENA Position */
+#define DWT_CTRL_EXCTRCENA_Msk             (0x1UL << DWT_CTRL_EXCTRCENA_Pos)           /*!< DWT CTRL: EXCTRCENA Mask */
+
+#define DWT_CTRL_PCSAMPLENA_Pos            12U                                         /*!< DWT CTRL: PCSAMPLENA Position */
+#define DWT_CTRL_PCSAMPLENA_Msk            (0x1UL << DWT_CTRL_PCSAMPLENA_Pos)          /*!< DWT CTRL: PCSAMPLENA Mask */
+
+#define DWT_CTRL_SYNCTAP_Pos               10U                                         /*!< DWT CTRL: SYNCTAP Position */
+#define DWT_CTRL_SYNCTAP_Msk               (0x3UL << DWT_CTRL_SYNCTAP_Pos)             /*!< DWT CTRL: SYNCTAP Mask */
+
+#define DWT_CTRL_CYCTAP_Pos                 9U                                         /*!< DWT CTRL: CYCTAP Position */
+#define DWT_CTRL_CYCTAP_Msk                (0x1UL << DWT_CTRL_CYCTAP_Pos)              /*!< DWT CTRL: CYCTAP Mask */
+
+#define DWT_CTRL_POSTINIT_Pos               5U                                         /*!< DWT CTRL: POSTINIT Position */
+#define DWT_CTRL_POSTINIT_Msk              (0xFUL << DWT_CTRL_POSTINIT_Pos)            /*!< DWT CTRL: POSTINIT Mask */
+
+#define DWT_CTRL_POSTPRESET_Pos             1U                                         /*!< DWT CTRL: POSTPRESET Position */
+#define DWT_CTRL_POSTPRESET_Msk            (0xFUL << DWT_CTRL_POSTPRESET_Pos)          /*!< DWT CTRL: POSTPRESET Mask */
+
+#define DWT_CTRL_CYCCNTENA_Pos              0U                                         /*!< DWT CTRL: CYCCNTENA Position */
+#define DWT_CTRL_CYCCNTENA_Msk             (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/)       /*!< DWT CTRL: CYCCNTENA Mask */
+
+/* DWT CPI Count Register Definitions */
+#define DWT_CPICNT_CPICNT_Pos               0U                                         /*!< DWT CPICNT: CPICNT Position */
+#define DWT_CPICNT_CPICNT_Msk              (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/)       /*!< DWT CPICNT: CPICNT Mask */
+
+/* DWT Exception Overhead Count Register Definitions */
+#define DWT_EXCCNT_EXCCNT_Pos               0U                                         /*!< DWT EXCCNT: EXCCNT Position */
+#define DWT_EXCCNT_EXCCNT_Msk              (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/)       /*!< DWT EXCCNT: EXCCNT Mask */
+
+/* DWT Sleep Count Register Definitions */
+#define DWT_SLEEPCNT_SLEEPCNT_Pos           0U                                         /*!< DWT SLEEPCNT: SLEEPCNT Position */
+#define DWT_SLEEPCNT_SLEEPCNT_Msk          (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/)   /*!< DWT SLEEPCNT: SLEEPCNT Mask */
+
+/* DWT LSU Count Register Definitions */
+#define DWT_LSUCNT_LSUCNT_Pos               0U                                         /*!< DWT LSUCNT: LSUCNT Position */
+#define DWT_LSUCNT_LSUCNT_Msk              (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/)       /*!< DWT LSUCNT: LSUCNT Mask */
+
+/* DWT Folded-instruction Count Register Definitions */
+#define DWT_FOLDCNT_FOLDCNT_Pos             0U                                         /*!< DWT FOLDCNT: FOLDCNT Position */
+#define DWT_FOLDCNT_FOLDCNT_Msk            (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/)     /*!< DWT FOLDCNT: FOLDCNT Mask */
+
+/* DWT Comparator Mask Register Definitions */
+#define DWT_MASK_MASK_Pos                   0U                                         /*!< DWT MASK: MASK Position */
+#define DWT_MASK_MASK_Msk                  (0x1FUL /*<< DWT_MASK_MASK_Pos*/)           /*!< DWT MASK: MASK Mask */
+
+/* DWT Comparator Function Register Definitions */
+#define DWT_FUNCTION_MATCHED_Pos           24U                                         /*!< DWT FUNCTION: MATCHED Position */
+#define DWT_FUNCTION_MATCHED_Msk           (0x1UL << DWT_FUNCTION_MATCHED_Pos)         /*!< DWT FUNCTION: MATCHED Mask */
+
+#define DWT_FUNCTION_DATAVADDR1_Pos        16U                                         /*!< DWT FUNCTION: DATAVADDR1 Position */
+#define DWT_FUNCTION_DATAVADDR1_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos)      /*!< DWT FUNCTION: DATAVADDR1 Mask */
+
+#define DWT_FUNCTION_DATAVADDR0_Pos        12U                                         /*!< DWT FUNCTION: DATAVADDR0 Position */
+#define DWT_FUNCTION_DATAVADDR0_Msk        (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos)      /*!< DWT FUNCTION: DATAVADDR0 Mask */
+
+#define DWT_FUNCTION_DATAVSIZE_Pos         10U                                         /*!< DWT FUNCTION: DATAVSIZE Position */
+#define DWT_FUNCTION_DATAVSIZE_Msk         (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos)       /*!< DWT FUNCTION: DATAVSIZE Mask */
+
+#define DWT_FUNCTION_LNK1ENA_Pos            9U                                         /*!< DWT FUNCTION: LNK1ENA Position */
+#define DWT_FUNCTION_LNK1ENA_Msk           (0x1UL << DWT_FUNCTION_LNK1ENA_Pos)         /*!< DWT FUNCTION: LNK1ENA Mask */
+
+#define DWT_FUNCTION_DATAVMATCH_Pos         8U                                         /*!< DWT FUNCTION: DATAVMATCH Position */
+#define DWT_FUNCTION_DATAVMATCH_Msk        (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos)      /*!< DWT FUNCTION: DATAVMATCH Mask */
+
+#define DWT_FUNCTION_CYCMATCH_Pos           7U                                         /*!< DWT FUNCTION: CYCMATCH Position */
+#define DWT_FUNCTION_CYCMATCH_Msk          (0x1UL << DWT_FUNCTION_CYCMATCH_Pos)        /*!< DWT FUNCTION: CYCMATCH Mask */
+
+#define DWT_FUNCTION_EMITRANGE_Pos          5U                                         /*!< DWT FUNCTION: EMITRANGE Position */
+#define DWT_FUNCTION_EMITRANGE_Msk         (0x1UL << DWT_FUNCTION_EMITRANGE_Pos)       /*!< DWT FUNCTION: EMITRANGE Mask */
+
+#define DWT_FUNCTION_FUNCTION_Pos           0U                                         /*!< DWT FUNCTION: FUNCTION Position */
+#define DWT_FUNCTION_FUNCTION_Msk          (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/)    /*!< DWT FUNCTION: FUNCTION Mask */
+
+/*@}*/ /* end of group CMSIS_DWT */
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_TPI     Trace Port Interface (TPI)
+  \brief    Type definitions for the Trace Port Interface (TPI)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Trace Port Interface Register (TPI).
+ */
+typedef struct
+{
+  __IOM uint32_t SSPSR;                  /*!< Offset: 0x000 (R/ )  Supported Parallel Port Size Register */
+  __IOM uint32_t CSPSR;                  /*!< Offset: 0x004 (R/W)  Current Parallel Port Size Register */
+        uint32_t RESERVED0[2U];
+  __IOM uint32_t ACPR;                   /*!< Offset: 0x010 (R/W)  Asynchronous Clock Prescaler Register */
+        uint32_t RESERVED1[55U];
+  __IOM uint32_t SPPR;                   /*!< Offset: 0x0F0 (R/W)  Selected Pin Protocol Register */
+        uint32_t RESERVED2[131U];
+  __IM  uint32_t FFSR;                   /*!< Offset: 0x300 (R/ )  Formatter and Flush Status Register */
+  __IOM uint32_t FFCR;                   /*!< Offset: 0x304 (R/W)  Formatter and Flush Control Register */
+  __IM  uint32_t FSCR;                   /*!< Offset: 0x308 (R/ )  Formatter Synchronization Counter Register */
+        uint32_t RESERVED3[759U];
+  __IM  uint32_t TRIGGER;                /*!< Offset: 0xEE8 (R/ )  TRIGGER */
+  __IM  uint32_t FIFO0;                  /*!< Offset: 0xEEC (R/ )  Integration ETM Data */
+  __IM  uint32_t ITATBCTR2;              /*!< Offset: 0xEF0 (R/ )  ITATBCTR2 */
+        uint32_t RESERVED4[1U];
+  __IM  uint32_t ITATBCTR0;              /*!< Offset: 0xEF8 (R/ )  ITATBCTR0 */
+  __IM  uint32_t FIFO1;                  /*!< Offset: 0xEFC (R/ )  Integration ITM Data */
+  __IOM uint32_t ITCTRL;                 /*!< Offset: 0xF00 (R/W)  Integration Mode Control */
+        uint32_t RESERVED5[39U];
+  __IOM uint32_t CLAIMSET;               /*!< Offset: 0xFA0 (R/W)  Claim tag set */
+  __IOM uint32_t CLAIMCLR;               /*!< Offset: 0xFA4 (R/W)  Claim tag clear */
+        uint32_t RESERVED7[8U];
+  __IM  uint32_t DEVID;                  /*!< Offset: 0xFC8 (R/ )  TPIU_DEVID */
+  __IM  uint32_t DEVTYPE;                /*!< Offset: 0xFCC (R/ )  TPIU_DEVTYPE */
+} TPI_Type;
+
+/* TPI Asynchronous Clock Prescaler Register Definitions */
+#define TPI_ACPR_PRESCALER_Pos              0U                                         /*!< TPI ACPR: PRESCALER Position */
+#define TPI_ACPR_PRESCALER_Msk             (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/)    /*!< TPI ACPR: PRESCALER Mask */
+
+/* TPI Selected Pin Protocol Register Definitions */
+#define TPI_SPPR_TXMODE_Pos                 0U                                         /*!< TPI SPPR: TXMODE Position */
+#define TPI_SPPR_TXMODE_Msk                (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/)          /*!< TPI SPPR: TXMODE Mask */
+
+/* TPI Formatter and Flush Status Register Definitions */
+#define TPI_FFSR_FtNonStop_Pos              3U                                         /*!< TPI FFSR: FtNonStop Position */
+#define TPI_FFSR_FtNonStop_Msk             (0x1UL << TPI_FFSR_FtNonStop_Pos)           /*!< TPI FFSR: FtNonStop Mask */
+
+#define TPI_FFSR_TCPresent_Pos              2U                                         /*!< TPI FFSR: TCPresent Position */
+#define TPI_FFSR_TCPresent_Msk             (0x1UL << TPI_FFSR_TCPresent_Pos)           /*!< TPI FFSR: TCPresent Mask */
+
+#define TPI_FFSR_FtStopped_Pos              1U                                         /*!< TPI FFSR: FtStopped Position */
+#define TPI_FFSR_FtStopped_Msk             (0x1UL << TPI_FFSR_FtStopped_Pos)           /*!< TPI FFSR: FtStopped Mask */
+
+#define TPI_FFSR_FlInProg_Pos               0U                                         /*!< TPI FFSR: FlInProg Position */
+#define TPI_FFSR_FlInProg_Msk              (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/)        /*!< TPI FFSR: FlInProg Mask */
+
+/* TPI Formatter and Flush Control Register Definitions */
+#define TPI_FFCR_TrigIn_Pos                 8U                                         /*!< TPI FFCR: TrigIn Position */
+#define TPI_FFCR_TrigIn_Msk                (0x1UL << TPI_FFCR_TrigIn_Pos)              /*!< TPI FFCR: TrigIn Mask */
+
+#define TPI_FFCR_EnFCont_Pos                1U                                         /*!< TPI FFCR: EnFCont Position */
+#define TPI_FFCR_EnFCont_Msk               (0x1UL << TPI_FFCR_EnFCont_Pos)             /*!< TPI FFCR: EnFCont Mask */
+
+/* TPI TRIGGER Register Definitions */
+#define TPI_TRIGGER_TRIGGER_Pos             0U                                         /*!< TPI TRIGGER: TRIGGER Position */
+#define TPI_TRIGGER_TRIGGER_Msk            (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/)      /*!< TPI TRIGGER: TRIGGER Mask */
+
+/* TPI Integration ETM Data Register Definitions (FIFO0) */
+#define TPI_FIFO0_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO0: ITM_ATVALID Position */
+#define TPI_FIFO0_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ITM_ATVALID_Pos)        /*!< TPI FIFO0: ITM_ATVALID Mask */
+
+#define TPI_FIFO0_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO0: ITM_bytecount Position */
+#define TPI_FIFO0_ITM_bytecount_Msk        (0x3UL << TPI_FIFO0_ITM_bytecount_Pos)      /*!< TPI FIFO0: ITM_bytecount Mask */
+
+#define TPI_FIFO0_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO0: ETM_ATVALID Position */
+#define TPI_FIFO0_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO0_ETM_ATVALID_Pos)        /*!< TPI FIFO0: ETM_ATVALID Mask */
+
+#define TPI_FIFO0_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO0: ETM_bytecount Position */
+#define TPI_FIFO0_ETM_bytecount_Msk        (0x3UL << TPI_FIFO0_ETM_bytecount_Pos)      /*!< TPI FIFO0: ETM_bytecount Mask */
+
+#define TPI_FIFO0_ETM2_Pos                 16U                                         /*!< TPI FIFO0: ETM2 Position */
+#define TPI_FIFO0_ETM2_Msk                 (0xFFUL << TPI_FIFO0_ETM2_Pos)              /*!< TPI FIFO0: ETM2 Mask */
+
+#define TPI_FIFO0_ETM1_Pos                  8U                                         /*!< TPI FIFO0: ETM1 Position */
+#define TPI_FIFO0_ETM1_Msk                 (0xFFUL << TPI_FIFO0_ETM1_Pos)              /*!< TPI FIFO0: ETM1 Mask */
+
+#define TPI_FIFO0_ETM0_Pos                  0U                                         /*!< TPI FIFO0: ETM0 Position */
+#define TPI_FIFO0_ETM0_Msk                 (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/)          /*!< TPI FIFO0: ETM0 Mask */
+
+/* TPI ITATBCTR2 Register Definitions */
+#define TPI_ITATBCTR2_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR2: ATREADY Position */
+#define TPI_ITATBCTR2_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR2_ATREADY_Pos*/)    /*!< TPI ITATBCTR2: ATREADY Mask */
+
+/* TPI Integration ITM Data Register Definitions (FIFO1) */
+#define TPI_FIFO1_ITM_ATVALID_Pos          29U                                         /*!< TPI FIFO1: ITM_ATVALID Position */
+#define TPI_FIFO1_ITM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ITM_ATVALID_Pos)        /*!< TPI FIFO1: ITM_ATVALID Mask */
+
+#define TPI_FIFO1_ITM_bytecount_Pos        27U                                         /*!< TPI FIFO1: ITM_bytecount Position */
+#define TPI_FIFO1_ITM_bytecount_Msk        (0x3UL << TPI_FIFO1_ITM_bytecount_Pos)      /*!< TPI FIFO1: ITM_bytecount Mask */
+
+#define TPI_FIFO1_ETM_ATVALID_Pos          26U                                         /*!< TPI FIFO1: ETM_ATVALID Position */
+#define TPI_FIFO1_ETM_ATVALID_Msk          (0x3UL << TPI_FIFO1_ETM_ATVALID_Pos)        /*!< TPI FIFO1: ETM_ATVALID Mask */
+
+#define TPI_FIFO1_ETM_bytecount_Pos        24U                                         /*!< TPI FIFO1: ETM_bytecount Position */
+#define TPI_FIFO1_ETM_bytecount_Msk        (0x3UL << TPI_FIFO1_ETM_bytecount_Pos)      /*!< TPI FIFO1: ETM_bytecount Mask */
+
+#define TPI_FIFO1_ITM2_Pos                 16U                                         /*!< TPI FIFO1: ITM2 Position */
+#define TPI_FIFO1_ITM2_Msk                 (0xFFUL << TPI_FIFO1_ITM2_Pos)              /*!< TPI FIFO1: ITM2 Mask */
+
+#define TPI_FIFO1_ITM1_Pos                  8U                                         /*!< TPI FIFO1: ITM1 Position */
+#define TPI_FIFO1_ITM1_Msk                 (0xFFUL << TPI_FIFO1_ITM1_Pos)              /*!< TPI FIFO1: ITM1 Mask */
+
+#define TPI_FIFO1_ITM0_Pos                  0U                                         /*!< TPI FIFO1: ITM0 Position */
+#define TPI_FIFO1_ITM0_Msk                 (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/)          /*!< TPI FIFO1: ITM0 Mask */
+
+/* TPI ITATBCTR0 Register Definitions */
+#define TPI_ITATBCTR0_ATREADY_Pos           0U                                         /*!< TPI ITATBCTR0: ATREADY Position */
+#define TPI_ITATBCTR0_ATREADY_Msk          (0x1UL /*<< TPI_ITATBCTR0_ATREADY_Pos*/)    /*!< TPI ITATBCTR0: ATREADY Mask */
+
+/* TPI Integration Mode Control Register Definitions */
+#define TPI_ITCTRL_Mode_Pos                 0U                                         /*!< TPI ITCTRL: Mode Position */
+#define TPI_ITCTRL_Mode_Msk                (0x1UL /*<< TPI_ITCTRL_Mode_Pos*/)          /*!< TPI ITCTRL: Mode Mask */
+
+/* TPI DEVID Register Definitions */
+#define TPI_DEVID_NRZVALID_Pos             11U                                         /*!< TPI DEVID: NRZVALID Position */
+#define TPI_DEVID_NRZVALID_Msk             (0x1UL << TPI_DEVID_NRZVALID_Pos)           /*!< TPI DEVID: NRZVALID Mask */
+
+#define TPI_DEVID_MANCVALID_Pos            10U                                         /*!< TPI DEVID: MANCVALID Position */
+#define TPI_DEVID_MANCVALID_Msk            (0x1UL << TPI_DEVID_MANCVALID_Pos)          /*!< TPI DEVID: MANCVALID Mask */
+
+#define TPI_DEVID_PTINVALID_Pos             9U                                         /*!< TPI DEVID: PTINVALID Position */
+#define TPI_DEVID_PTINVALID_Msk            (0x1UL << TPI_DEVID_PTINVALID_Pos)          /*!< TPI DEVID: PTINVALID Mask */
+
+#define TPI_DEVID_MinBufSz_Pos              6U                                         /*!< TPI DEVID: MinBufSz Position */
+#define TPI_DEVID_MinBufSz_Msk             (0x7UL << TPI_DEVID_MinBufSz_Pos)           /*!< TPI DEVID: MinBufSz Mask */
+
+#define TPI_DEVID_AsynClkIn_Pos             5U                                         /*!< TPI DEVID: AsynClkIn Position */
+#define TPI_DEVID_AsynClkIn_Msk            (0x1UL << TPI_DEVID_AsynClkIn_Pos)          /*!< TPI DEVID: AsynClkIn Mask */
+
+#define TPI_DEVID_NrTraceInput_Pos          0U                                         /*!< TPI DEVID: NrTraceInput Position */
+#define TPI_DEVID_NrTraceInput_Msk         (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/)  /*!< TPI DEVID: NrTraceInput Mask */
+
+/* TPI DEVTYPE Register Definitions */
+#define TPI_DEVTYPE_MajorType_Pos           4U                                         /*!< TPI DEVTYPE: MajorType Position */
+#define TPI_DEVTYPE_MajorType_Msk          (0xFUL << TPI_DEVTYPE_MajorType_Pos)        /*!< TPI DEVTYPE: MajorType Mask */
+
+#define TPI_DEVTYPE_SubType_Pos             0U                                         /*!< TPI DEVTYPE: SubType Position */
+#define TPI_DEVTYPE_SubType_Msk            (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/)      /*!< TPI DEVTYPE: SubType Mask */
+
+/*@}*/ /* end of group CMSIS_TPI */
+
+
+#if (__MPU_PRESENT == 1U)
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_MPU     Memory Protection Unit (MPU)
+  \brief    Type definitions for the Memory Protection Unit (MPU)
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Memory Protection Unit (MPU).
+ */
+typedef struct
+{
+  __IM  uint32_t TYPE;                   /*!< Offset: 0x000 (R/ )  MPU Type Register */
+  __IOM uint32_t CTRL;                   /*!< Offset: 0x004 (R/W)  MPU Control Register */
+  __IOM uint32_t RNR;                    /*!< Offset: 0x008 (R/W)  MPU Region RNRber Register */
+  __IOM uint32_t RBAR;                   /*!< Offset: 0x00C (R/W)  MPU Region Base Address Register */
+  __IOM uint32_t RASR;                   /*!< Offset: 0x010 (R/W)  MPU Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A1;                /*!< Offset: 0x014 (R/W)  MPU Alias 1 Region Base Address Register */
+  __IOM uint32_t RASR_A1;                /*!< Offset: 0x018 (R/W)  MPU Alias 1 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A2;                /*!< Offset: 0x01C (R/W)  MPU Alias 2 Region Base Address Register */
+  __IOM uint32_t RASR_A2;                /*!< Offset: 0x020 (R/W)  MPU Alias 2 Region Attribute and Size Register */
+  __IOM uint32_t RBAR_A3;                /*!< Offset: 0x024 (R/W)  MPU Alias 3 Region Base Address Register */
+  __IOM uint32_t RASR_A3;                /*!< Offset: 0x028 (R/W)  MPU Alias 3 Region Attribute and Size Register */
+} MPU_Type;
+
+/* MPU Type Register Definitions */
+#define MPU_TYPE_IREGION_Pos               16U                                            /*!< MPU TYPE: IREGION Position */
+#define MPU_TYPE_IREGION_Msk               (0xFFUL << MPU_TYPE_IREGION_Pos)               /*!< MPU TYPE: IREGION Mask */
+
+#define MPU_TYPE_DREGION_Pos                8U                                            /*!< MPU TYPE: DREGION Position */
+#define MPU_TYPE_DREGION_Msk               (0xFFUL << MPU_TYPE_DREGION_Pos)               /*!< MPU TYPE: DREGION Mask */
+
+#define MPU_TYPE_SEPARATE_Pos               0U                                            /*!< MPU TYPE: SEPARATE Position */
+#define MPU_TYPE_SEPARATE_Msk              (1UL /*<< MPU_TYPE_SEPARATE_Pos*/)             /*!< MPU TYPE: SEPARATE Mask */
+
+/* MPU Control Register Definitions */
+#define MPU_CTRL_PRIVDEFENA_Pos             2U                                            /*!< MPU CTRL: PRIVDEFENA Position */
+#define MPU_CTRL_PRIVDEFENA_Msk            (1UL << MPU_CTRL_PRIVDEFENA_Pos)               /*!< MPU CTRL: PRIVDEFENA Mask */
+
+#define MPU_CTRL_HFNMIENA_Pos               1U                                            /*!< MPU CTRL: HFNMIENA Position */
+#define MPU_CTRL_HFNMIENA_Msk              (1UL << MPU_CTRL_HFNMIENA_Pos)                 /*!< MPU CTRL: HFNMIENA Mask */
+
+#define MPU_CTRL_ENABLE_Pos                 0U                                            /*!< MPU CTRL: ENABLE Position */
+#define MPU_CTRL_ENABLE_Msk                (1UL /*<< MPU_CTRL_ENABLE_Pos*/)               /*!< MPU CTRL: ENABLE Mask */
+
+/* MPU Region Number Register Definitions */
+#define MPU_RNR_REGION_Pos                  0U                                            /*!< MPU RNR: REGION Position */
+#define MPU_RNR_REGION_Msk                 (0xFFUL /*<< MPU_RNR_REGION_Pos*/)             /*!< MPU RNR: REGION Mask */
+
+/* MPU Region Base Address Register Definitions */
+#define MPU_RBAR_ADDR_Pos                   5U                                            /*!< MPU RBAR: ADDR Position */
+#define MPU_RBAR_ADDR_Msk                  (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos)             /*!< MPU RBAR: ADDR Mask */
+
+#define MPU_RBAR_VALID_Pos                  4U                                            /*!< MPU RBAR: VALID Position */
+#define MPU_RBAR_VALID_Msk                 (1UL << MPU_RBAR_VALID_Pos)                    /*!< MPU RBAR: VALID Mask */
+
+#define MPU_RBAR_REGION_Pos                 0U                                            /*!< MPU RBAR: REGION Position */
+#define MPU_RBAR_REGION_Msk                (0xFUL /*<< MPU_RBAR_REGION_Pos*/)             /*!< MPU RBAR: REGION Mask */
+
+/* MPU Region Attribute and Size Register Definitions */
+#define MPU_RASR_ATTRS_Pos                 16U                                            /*!< MPU RASR: MPU Region Attribute field Position */
+#define MPU_RASR_ATTRS_Msk                 (0xFFFFUL << MPU_RASR_ATTRS_Pos)               /*!< MPU RASR: MPU Region Attribute field Mask */
+
+#define MPU_RASR_XN_Pos                    28U                                            /*!< MPU RASR: ATTRS.XN Position */
+#define MPU_RASR_XN_Msk                    (1UL << MPU_RASR_XN_Pos)                       /*!< MPU RASR: ATTRS.XN Mask */
+
+#define MPU_RASR_AP_Pos                    24U                                            /*!< MPU RASR: ATTRS.AP Position */
+#define MPU_RASR_AP_Msk                    (0x7UL << MPU_RASR_AP_Pos)                     /*!< MPU RASR: ATTRS.AP Mask */
+
+#define MPU_RASR_TEX_Pos                   19U                                            /*!< MPU RASR: ATTRS.TEX Position */
+#define MPU_RASR_TEX_Msk                   (0x7UL << MPU_RASR_TEX_Pos)                    /*!< MPU RASR: ATTRS.TEX Mask */
+
+#define MPU_RASR_S_Pos                     18U                                            /*!< MPU RASR: ATTRS.S Position */
+#define MPU_RASR_S_Msk                     (1UL << MPU_RASR_S_Pos)                        /*!< MPU RASR: ATTRS.S Mask */
+
+#define MPU_RASR_C_Pos                     17U                                            /*!< MPU RASR: ATTRS.C Position */
+#define MPU_RASR_C_Msk                     (1UL << MPU_RASR_C_Pos)                        /*!< MPU RASR: ATTRS.C Mask */
+
+#define MPU_RASR_B_Pos                     16U                                            /*!< MPU RASR: ATTRS.B Position */
+#define MPU_RASR_B_Msk                     (1UL << MPU_RASR_B_Pos)                        /*!< MPU RASR: ATTRS.B Mask */
+
+#define MPU_RASR_SRD_Pos                    8U                                            /*!< MPU RASR: Sub-Region Disable Position */
+#define MPU_RASR_SRD_Msk                   (0xFFUL << MPU_RASR_SRD_Pos)                   /*!< MPU RASR: Sub-Region Disable Mask */
+
+#define MPU_RASR_SIZE_Pos                   1U                                            /*!< MPU RASR: Region Size Field Position */
+#define MPU_RASR_SIZE_Msk                  (0x1FUL << MPU_RASR_SIZE_Pos)                  /*!< MPU RASR: Region Size Field Mask */
+
+#define MPU_RASR_ENABLE_Pos                 0U                                            /*!< MPU RASR: Region enable bit Position */
+#define MPU_RASR_ENABLE_Msk                (1UL /*<< MPU_RASR_ENABLE_Pos*/)               /*!< MPU RASR: Region enable bit Disable Mask */
+
+/*@} end of group CMSIS_MPU */
+#endif
+
+
+/**
+  \ingroup  CMSIS_core_register
+  \defgroup CMSIS_CoreDebug       Core Debug Registers (CoreDebug)
+  \brief    Type definitions for the Core Debug Registers
+  @{
+ */
+
+/**
+  \brief  Structure type to access the Core Debug Register (CoreDebug).
+ */
+typedef struct
+{
+  __IOM uint32_t DHCSR;                  /*!< Offset: 0x000 (R/W)  Debug Halting Control and Status Register */
+  __OM  uint32_t DCRSR;                  /*!< Offset: 0x004 ( /W)  Debug Core Register Selector Register */
+  __IOM uint32_t DCRDR;                  /*!< Offset: 0x008 (R/W)  Debug Core Register Data Register */
+  __IOM uint32_t DEMCR;                  /*!< Offset: 0x00C (R/W)  Debug Exception and Monitor Control Register */
+} CoreDebug_Type;
+
+/* Debug Halting Control and Status Register Definitions */
+#define CoreDebug_DHCSR_DBGKEY_Pos         16U                                            /*!< CoreDebug DHCSR: DBGKEY Position */
+#define CoreDebug_DHCSR_DBGKEY_Msk         (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos)       /*!< CoreDebug DHCSR: DBGKEY Mask */
+
+#define CoreDebug_DHCSR_S_RESET_ST_Pos     25U                                            /*!< CoreDebug DHCSR: S_RESET_ST Position */
+#define CoreDebug_DHCSR_S_RESET_ST_Msk     (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos)        /*!< CoreDebug DHCSR: S_RESET_ST Mask */
+
+#define CoreDebug_DHCSR_S_RETIRE_ST_Pos    24U                                            /*!< CoreDebug DHCSR: S_RETIRE_ST Position */
+#define CoreDebug_DHCSR_S_RETIRE_ST_Msk    (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos)       /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */
+
+#define CoreDebug_DHCSR_S_LOCKUP_Pos       19U                                            /*!< CoreDebug DHCSR: S_LOCKUP Position */
+#define CoreDebug_DHCSR_S_LOCKUP_Msk       (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos)          /*!< CoreDebug DHCSR: S_LOCKUP Mask */
+
+#define CoreDebug_DHCSR_S_SLEEP_Pos        18U                                            /*!< CoreDebug DHCSR: S_SLEEP Position */
+#define CoreDebug_DHCSR_S_SLEEP_Msk        (1UL << CoreDebug_DHCSR_S_SLEEP_Pos)           /*!< CoreDebug DHCSR: S_SLEEP Mask */
+
+#define CoreDebug_DHCSR_S_HALT_Pos         17U                                            /*!< CoreDebug DHCSR: S_HALT Position */
+#define CoreDebug_DHCSR_S_HALT_Msk         (1UL << CoreDebug_DHCSR_S_HALT_Pos)            /*!< CoreDebug DHCSR: S_HALT Mask */
+
+#define CoreDebug_DHCSR_S_REGRDY_Pos       16U                                            /*!< CoreDebug DHCSR: S_REGRDY Position */
+#define CoreDebug_DHCSR_S_REGRDY_Msk       (1UL << CoreDebug_DHCSR_S_REGRDY_Pos)          /*!< CoreDebug DHCSR: S_REGRDY Mask */
+
+#define CoreDebug_DHCSR_C_SNAPSTALL_Pos     5U                                            /*!< CoreDebug DHCSR: C_SNAPSTALL Position */
+#define CoreDebug_DHCSR_C_SNAPSTALL_Msk    (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos)       /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */
+
+#define CoreDebug_DHCSR_C_MASKINTS_Pos      3U                                            /*!< CoreDebug DHCSR: C_MASKINTS Position */
+#define CoreDebug_DHCSR_C_MASKINTS_Msk     (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos)        /*!< CoreDebug DHCSR: C_MASKINTS Mask */
+
+#define CoreDebug_DHCSR_C_STEP_Pos          2U                                            /*!< CoreDebug DHCSR: C_STEP Position */
+#define CoreDebug_DHCSR_C_STEP_Msk         (1UL << CoreDebug_DHCSR_C_STEP_Pos)            /*!< CoreDebug DHCSR: C_STEP Mask */
+
+#define CoreDebug_DHCSR_C_HALT_Pos          1U                                            /*!< CoreDebug DHCSR: C_HALT Position */
+#define CoreDebug_DHCSR_C_HALT_Msk         (1UL << CoreDebug_DHCSR_C_HALT_Pos)            /*!< CoreDebug DHCSR: C_HALT Mask */
+
+#define CoreDebug_DHCSR_C_DEBUGEN_Pos       0U                                            /*!< CoreDebug DHCSR: C_DEBUGEN Position */
+#define CoreDebug_DHCSR_C_DEBUGEN_Msk      (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/)     /*!< CoreDebug DHCSR: C_DEBUGEN Mask */
+
+/* Debug Core Register Selector Register Definitions */
+#define CoreDebug_DCRSR_REGWnR_Pos         16U                                            /*!< CoreDebug DCRSR: REGWnR Position */
+#define CoreDebug_DCRSR_REGWnR_Msk         (1UL << CoreDebug_DCRSR_REGWnR_Pos)            /*!< CoreDebug DCRSR: REGWnR Mask */
+
+#define CoreDebug_DCRSR_REGSEL_Pos          0U                                            /*!< CoreDebug DCRSR: REGSEL Position */
+#define CoreDebug_DCRSR_REGSEL_Msk         (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/)     /*!< CoreDebug DCRSR: REGSEL Mask */
+
+/* Debug Exception and Monitor Control Register Definitions */
+#define CoreDebug_DEMCR_TRCENA_Pos         24U                                            /*!< CoreDebug DEMCR: TRCENA Position */
+#define CoreDebug_DEMCR_TRCENA_Msk         (1UL << CoreDebug_DEMCR_TRCENA_Pos)            /*!< CoreDebug DEMCR: TRCENA Mask */
+
+#define CoreDebug_DEMCR_MON_REQ_Pos        19U                                            /*!< CoreDebug DEMCR: MON_REQ Position */
+#define CoreDebug_DEMCR_MON_REQ_Msk        (1UL << CoreDebug_DEMCR_MON_REQ_Pos)           /*!< CoreDebug DEMCR: MON_REQ Mask */
+
+#define CoreDebug_DEMCR_MON_STEP_Pos       18U                                            /*!< CoreDebug DEMCR: MON_STEP Position */
+#define CoreDebug_DEMCR_MON_STEP_Msk       (1UL << CoreDebug_DEMCR_MON_STEP_Pos)          /*!< CoreDebug DEMCR: MON_STEP Mask */
+
+#define CoreDebug_DEMCR_MON_PEND_Pos       17U                                            /*!< CoreDebug DEMCR: MON_PEND Position */
+#define CoreDebug_DEMCR_MON_PEND_Msk       (1UL << CoreDebug_DEMCR_MON_PEND_Pos)          /*!< CoreDebug DEMCR: MON_PEND Mask */
+
+#define CoreDebug_DEMCR_MON_EN_Pos         16U                                            /*!< CoreDebug DEMCR: MON_EN Position */
+#define CoreDebug_DEMCR_MON_EN_Msk         (1UL << CoreDebug_DEMCR_MON_EN_Pos)            /*!< CoreDebug DEMCR: MON_EN Mask */
+
+#define CoreDebug_DEMCR_VC_HARDERR_Pos     10U                                            /*!< CoreDebug DEMCR: VC_HARDERR Position */
+#define CoreDebug_DEMCR_VC_HARDERR_Msk     (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos)        /*!< CoreDebug DEMCR: VC_HARDERR Mask */
+
+#define CoreDebug_DEMCR_VC_INTERR_Pos       9U                                            /*!< CoreDebug DEMCR: VC_INTERR Position */
+#define CoreDebug_DEMCR_VC_INTERR_Msk      (1UL << CoreDebug_DEMCR_VC_INTERR_Pos)         /*!< CoreDebug DEMCR: VC_INTERR Mask */
+
+#define CoreDebug_DEMCR_VC_BUSERR_Pos       8U                                            /*!< CoreDebug DEMCR: VC_BUSERR Position */
+#define CoreDebug_DEMCR_VC_BUSERR_Msk      (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos)         /*!< CoreDebug DEMCR: VC_BUSERR Mask */
+
+#define CoreDebug_DEMCR_VC_STATERR_Pos      7U                                            /*!< CoreDebug DEMCR: VC_STATERR Position */
+#define CoreDebug_DEMCR_VC_STATERR_Msk     (1UL << CoreDebug_DEMCR_VC_STATERR_Pos)        /*!< CoreDebug DEMCR: VC_STATERR Mask */
+
+#define CoreDebug_DEMCR_VC_CHKERR_Pos       6U                                            /*!< CoreDebug DEMCR: VC_CHKERR Position */
+#define CoreDebug_DEMCR_VC_CHKERR_Msk      (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos)         /*!< CoreDebug DEMCR: VC_CHKERR Mask */
+
+#define CoreDebug_DEMCR_VC_NOCPERR_Pos      5U                                            /*!< CoreDebug DEMCR: VC_NOCPERR Position */
+#define CoreDebug_DEMCR_VC_NOCPERR_Msk     (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos)        /*!< CoreDebug DEMCR: VC_NOCPERR Mask */
+
+#define CoreDebug_DEMCR_VC_MMERR_Pos        4U                                            /*!< CoreDebug DEMCR: VC_MMERR Position */
+#define CoreDebug_DEMCR_VC_MMERR_Msk       (1UL << CoreDebug_DEMCR_VC_MMERR_Pos)          /*!< CoreDebug DEMCR: VC_MMERR Mask */
+
+#define CoreDebug_DEMCR_VC_CORERESET_Pos    0U                                            /*!< CoreDebug DEMCR: VC_CORERESET Position */
+#define CoreDebug_DEMCR_VC_CORERESET_Msk   (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/)  /*!< CoreDebug DEMCR: VC_CORERESET Mask */
+
+/*@} end of group CMSIS_CoreDebug */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_bitfield     Core register bit field macros
+  \brief      Macros for use with bit field definitions (xxx_Pos, xxx_Msk).
+  @{
+ */
+
+/**
+  \brief   Mask and shift a bit field value for use in a register bit range.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of the bit field.
+  \return           Masked and shifted value.
+*/
+#define _VAL2FLD(field, value)    ((value << field ## _Pos) & field ## _Msk)
+
+/**
+  \brief     Mask and shift a register value to extract a bit filed value.
+  \param[in] field  Name of the register bit field.
+  \param[in] value  Value of register.
+  \return           Masked and shifted bit field value.
+*/
+#define _FLD2VAL(field, value)    ((value & field ## _Msk) >> field ## _Pos)
+
+/*@} end of group CMSIS_core_bitfield */
+
+
+/**
+  \ingroup    CMSIS_core_register
+  \defgroup   CMSIS_core_base     Core Definitions
+  \brief      Definitions for base addresses, unions, and structures.
+  @{
+ */
+
+/* Memory mapping of Cortex-M3 Hardware */
+#define SCS_BASE            (0xE000E000UL)                            /*!< System Control Space Base Address */
+#define ITM_BASE            (0xE0000000UL)                            /*!< ITM Base Address */
+#define DWT_BASE            (0xE0001000UL)                            /*!< DWT Base Address */
+#define TPI_BASE            (0xE0040000UL)                            /*!< TPI Base Address */
+#define CoreDebug_BASE      (0xE000EDF0UL)                            /*!< Core Debug Base Address */
+#define SysTick_BASE        (SCS_BASE +  0x0010UL)                    /*!< SysTick Base Address */
+#define NVIC_BASE           (SCS_BASE +  0x0100UL)                    /*!< NVIC Base Address */
+#define SCB_BASE            (SCS_BASE +  0x0D00UL)                    /*!< System Control Block Base Address */
+
+#define SCnSCB              ((SCnSCB_Type    *)     SCS_BASE      )   /*!< System control Register not in SCB */
+#define SCB                 ((SCB_Type       *)     SCB_BASE      )   /*!< SCB configuration struct */
+#define SysTick             ((SysTick_Type   *)     SysTick_BASE  )   /*!< SysTick configuration struct */
+#define NVIC                ((NVIC_Type      *)     NVIC_BASE     )   /*!< NVIC configuration struct */
+#define ITM                 ((ITM_Type       *)     ITM_BASE      )   /*!< ITM configuration struct */
+#define DWT                 ((DWT_Type       *)     DWT_BASE      )   /*!< DWT configuration struct */
+#define TPI                 ((TPI_Type       *)     TPI_BASE      )   /*!< TPI configuration struct */
+#define CoreDebug           ((CoreDebug_Type *)     CoreDebug_BASE)   /*!< Core Debug configuration struct */
+
+#if (__MPU_PRESENT == 1U)
+  #define MPU_BASE          (SCS_BASE +  0x0D90UL)                    /*!< Memory Protection Unit */
+  #define MPU               ((MPU_Type       *)     MPU_BASE      )   /*!< Memory Protection Unit */
+#endif
+
+/*@} */
+
+
+
+/*******************************************************************************
+ *                Hardware Abstraction Layer
+  Core Function Interface contains:
+  - Core NVIC Functions
+  - Core SysTick Functions
+  - Core Debug Functions
+  - Core Register Access Functions
+ ******************************************************************************/
+/**
+  \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference
+*/
+
+
+
+/* ##########################   NVIC functions  #################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_NVICFunctions NVIC Functions
+  \brief    Functions that manage interrupts and exceptions via the NVIC.
+  @{
+ */
+
+/**
+  \brief   Set Priority Grouping
+  \details Sets the priority grouping field using the required unlock sequence.
+           The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field.
+           Only values from 0..7 are used.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]      PriorityGroup  Priority grouping field.
+ */
+__STATIC_INLINE void NVIC_SetPriorityGrouping(uint32_t PriorityGroup)
+{
+  uint32_t reg_value;
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);             /* only values 0..7 are used          */
+
+  reg_value  =  SCB->AIRCR;                                                   /* read old register configuration    */
+  reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change               */
+  reg_value  =  (reg_value                                   |
+                ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) |
+                (PriorityGroupTmp << 8U)                      );              /* Insert write key and priorty group */
+  SCB->AIRCR =  reg_value;
+}
+
+
+/**
+  \brief   Get Priority Grouping
+  \details Reads the priority grouping field from the NVIC Interrupt Controller.
+  \return                Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field).
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriorityGrouping(void)
+{
+  return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos));
+}
+
+
+/**
+  \brief   Enable External Interrupt
+  \details Enables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_EnableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Disable External Interrupt
+  \details Disables a device-specific interrupt in the NVIC interrupt controller.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_DisableIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICER[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Pending Interrupt
+  \details Reads the pending register in the NVIC and returns the pending bit for the specified interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not pending.
+  \return             1  Interrupt status is pending.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPendingIRQ(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Pending Interrupt
+  \details Sets the pending bit of an external interrupt.
+  \param [in]      IRQn  Interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_SetPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ISPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Clear Pending Interrupt
+  \details Clears the pending bit of an external interrupt.
+  \param [in]      IRQn  External interrupt number. Value cannot be negative.
+ */
+__STATIC_INLINE void NVIC_ClearPendingIRQ(IRQn_Type IRQn)
+{
+  NVIC->ICPR[(((uint32_t)(int32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL));
+}
+
+
+/**
+  \brief   Get Active Interrupt
+  \details Reads the active register in NVIC and returns the active bit.
+  \param [in]      IRQn  Interrupt number.
+  \return             0  Interrupt status is not active.
+  \return             1  Interrupt status is active.
+ */
+__STATIC_INLINE uint32_t NVIC_GetActive(IRQn_Type IRQn)
+{
+  return((uint32_t)(((NVIC->IABR[(((uint32_t)(int32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)(int32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL));
+}
+
+
+/**
+  \brief   Set Interrupt Priority
+  \details Sets the priority of an interrupt.
+  \note    The priority cannot be set for every core interrupt.
+  \param [in]      IRQn  Interrupt number.
+  \param [in]  priority  Priority to set.
+ */
+__STATIC_INLINE void NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority)
+{
+  if ((int32_t)(IRQn) < 0)
+  {
+    SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+  else
+  {
+    NVIC->IP[((uint32_t)(int32_t)IRQn)]               = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL);
+  }
+}
+
+
+/**
+  \brief   Get Interrupt Priority
+  \details Reads the priority of an interrupt.
+           The interrupt number can be positive to specify an external (device specific) interrupt,
+           or negative to specify an internal (core) interrupt.
+  \param [in]   IRQn  Interrupt number.
+  \return             Interrupt Priority.
+                      Value is aligned automatically to the implemented priority bits of the microcontroller.
+ */
+__STATIC_INLINE uint32_t NVIC_GetPriority(IRQn_Type IRQn)
+{
+
+  if ((int32_t)(IRQn) < 0)
+  {
+    return(((uint32_t)SCB->SHP[(((uint32_t)(int32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS)));
+  }
+  else
+  {
+    return(((uint32_t)NVIC->IP[((uint32_t)(int32_t)IRQn)]               >> (8U - __NVIC_PRIO_BITS)));
+  }
+}
+
+
+/**
+  \brief   Encode Priority
+  \details Encodes the priority for an interrupt with the given priority group,
+           preemptive priority value, and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set.
+  \param [in]     PriorityGroup  Used priority group.
+  \param [in]   PreemptPriority  Preemptive priority value (starting from 0).
+  \param [in]       SubPriority  Subpriority value (starting from 0).
+  \return                        Encoded priority. Value can be used in the function \ref NVIC_SetPriority().
+ */
+__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  return (
+           ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) |
+           ((SubPriority     & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL)))
+         );
+}
+
+
+/**
+  \brief   Decode Priority
+  \details Decodes an interrupt priority value with a given priority group to
+           preemptive priority value and subpriority value.
+           In case of a conflict between priority grouping and available
+           priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set.
+  \param [in]         Priority   Priority value, which can be retrieved with the function \ref NVIC_GetPriority().
+  \param [in]     PriorityGroup  Used priority group.
+  \param [out] pPreemptPriority  Preemptive priority value (starting from 0).
+  \param [out]     pSubPriority  Subpriority value (starting from 0).
+ */
+__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority)
+{
+  uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL);   /* only values 0..7 are used          */
+  uint32_t PreemptPriorityBits;
+  uint32_t SubPriorityBits;
+
+  PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp);
+  SubPriorityBits     = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS));
+
+  *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL);
+  *pSubPriority     = (Priority                   ) & (uint32_t)((1UL << (SubPriorityBits    )) - 1UL);
+}
+
+
+/**
+  \brief   System Reset
+  \details Initiates a system reset request to reset the MCU.
+ */
+__STATIC_INLINE void NVIC_SystemReset(void)
+{
+  __DSB();                                                          /* Ensure all outstanding memory accesses included
+                                                                       buffered write are completed before reset */
+  SCB->AIRCR  = (uint32_t)((0x5FAUL << SCB_AIRCR_VECTKEY_Pos)    |
+                           (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) |
+                            SCB_AIRCR_SYSRESETREQ_Msk    );         /* Keep priority group unchanged */
+  __DSB();                                                          /* Ensure completion of memory access */
+
+  for(;;)                                                           /* wait until reset */
+  {
+    __NOP();
+  }
+}
+
+/*@} end of CMSIS_Core_NVICFunctions */
+
+
+
+/* ##################################    SysTick function  ############################################ */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_Core_SysTickFunctions SysTick Functions
+  \brief    Functions that configure the System.
+  @{
+ */
+
+#if (__Vendor_SysTickConfig == 0U)
+
+/**
+  \brief   System Tick Configuration
+  \details Initializes the System Timer and its interrupt, and starts the System Tick Timer.
+           Counter is in free running mode to generate periodic interrupts.
+  \param [in]  ticks  Number of ticks between two interrupts.
+  \return          0  Function succeeded.
+  \return          1  Function failed.
+  \note    When the variable <b>__Vendor_SysTickConfig</b> is set to 1, then the
+           function <b>SysTick_Config</b> is not included. In this case, the file <b><i>device</i>.h</b>
+           must contain a vendor-specific implementation of this function.
+ */
+__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks)
+{
+  if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk)
+  {
+    return (1UL);                                                   /* Reload value impossible */
+  }
+
+  SysTick->LOAD  = (uint32_t)(ticks - 1UL);                         /* set reload register */
+  NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */
+  SysTick->VAL   = 0UL;                                             /* Load the SysTick Counter Value */
+  SysTick->CTRL  = SysTick_CTRL_CLKSOURCE_Msk |
+                   SysTick_CTRL_TICKINT_Msk   |
+                   SysTick_CTRL_ENABLE_Msk;                         /* Enable SysTick IRQ and SysTick Timer */
+  return (0UL);                                                     /* Function successful */
+}
+
+#endif
+
+/*@} end of CMSIS_Core_SysTickFunctions */
+
+
+
+/* ##################################### Debug In/Output function ########################################### */
+/**
+  \ingroup  CMSIS_Core_FunctionInterface
+  \defgroup CMSIS_core_DebugFunctions ITM Functions
+  \brief    Functions that access the ITM debug interface.
+  @{
+ */
+
+extern volatile int32_t ITM_RxBuffer;                    /*!< External variable to receive characters. */
+#define                 ITM_RXBUFFER_EMPTY   0x5AA55AA5U /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */
+
+
+/**
+  \brief   ITM Send Character
+  \details Transmits a character via the ITM channel 0, and
+           \li Just returns when no debugger is connected that has booked the output.
+           \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted.
+  \param [in]     ch  Character to transmit.
+  \returns            Character to transmit.
+ */
+__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch)
+{
+  if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) &&      /* ITM enabled */
+      ((ITM->TER & 1UL               ) != 0UL)   )     /* ITM Port #0 enabled */
+  {
+    while (ITM->PORT[0U].u32 == 0UL)
+    {
+      __NOP();
+    }
+    ITM->PORT[0U].u8 = (uint8_t)ch;
+  }
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Receive Character
+  \details Inputs a character via the external variable \ref ITM_RxBuffer.
+  \return             Received character.
+  \return         -1  No character pending.
+ */
+__STATIC_INLINE int32_t ITM_ReceiveChar (void)
+{
+  int32_t ch = -1;                           /* no character available */
+
+  if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY)
+  {
+    ch = ITM_RxBuffer;
+    ITM_RxBuffer = ITM_RXBUFFER_EMPTY;       /* ready for next character */
+  }
+
+  return (ch);
+}
+
+
+/**
+  \brief   ITM Check Character
+  \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer.
+  \return          0  No character available.
+  \return          1  Character available.
+ */
+__STATIC_INLINE int32_t ITM_CheckChar (void)
+{
+
+  if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY)
+  {
+    return (0);                              /* no character available */
+  }
+  else
+  {
+    return (1);                              /*    character available */
+  }
+}
+
+/*@} end of CMSIS_core_DebugFunctions */
+
+
+
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __CORE_SC300_H_DEPENDANT */
+
+#endif /* __CMSIS_GENERIC */
diff --git a/Lib/ARM/arm_cortexM4b_math.lib b/Lib/ARM/arm_cortexM4b_math.lib
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diff --git a/Lib/ARM/arm_cortexM4bf_math.lib b/Lib/ARM/arm_cortexM4bf_math.lib
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+++ b/Lib/ARM/arm_cortexM4bf_math.lib
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diff --git a/Lib/ARM/arm_cortexM4l_math.lib b/Lib/ARM/arm_cortexM4l_math.lib
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+++ b/Lib/ARM/arm_cortexM4l_math.lib
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diff --git a/Lib/ARM/arm_cortexM4lf_math.lib b/Lib/ARM/arm_cortexM4lf_math.lib
new file mode 100644
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--- /dev/null
+++ b/Lib/ARM/arm_cortexM4lf_math.lib
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diff --git a/Lib/GCC/libarm_cortexM4l_math.a b/Lib/GCC/libarm_cortexM4l_math.a
new file mode 100644
index 0000000..b1d6da7
--- /dev/null
+++ b/Lib/GCC/libarm_cortexM4l_math.a
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diff --git a/Lib/GCC/libarm_cortexM4lf_math.a b/Lib/GCC/libarm_cortexM4lf_math.a
new file mode 100644
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diff --git a/Lib/license.txt b/Lib/license.txt
new file mode 100644
index 0000000..139c1ff
--- /dev/null
+++ b/Lib/license.txt
@@ -0,0 +1,28 @@
+All pre-build libraries contained in the folders "ARM" and "GCC"
+are guided by the following license:
+
+Copyright (C) 2009-2014 ARM Limited. 
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ - Redistributions of source code must retain the above copyright
+   notice, this list of conditions and the following disclaimer.
+ - Redistributions in binary form must reproduce the above copyright
+   notice, this list of conditions and the following disclaimer in the
+   documentation and/or other materials provided with the distribution.
+ - Neither the name of ARM nor the names of its contributors may be used 
+   to endorse or promote products derived from this software without 
+   specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" 
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF 
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS 
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN 
+CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 
+ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.
diff --git a/RTOS/Template/cmsis_os.h b/RTOS/Template/cmsis_os.h
new file mode 100644
index 0000000..5fcfad2
--- /dev/null
+++ b/RTOS/Template/cmsis_os.h
@@ -0,0 +1,707 @@
+/* ----------------------------------------------------------------------
+ * $Date:        5. February 2013
+ * $Revision:    V1.02
+ *
+ * Project:      CMSIS-RTOS API
+ * Title:        cmsis_os.h template header file
+ *
+ * Version 0.02
+ *    Initial Proposal Phase
+ * Version 0.03
+ *    osKernelStart added, optional feature: main started as thread
+ *    osSemaphores have standard behavior
+ *    osTimerCreate does not start the timer, added osTimerStart
+ *    osThreadPass is renamed to osThreadYield
+ * Version 1.01
+ *    Support for C++ interface
+ *     - const attribute removed from the osXxxxDef_t typedef's
+ *     - const attribute added to the osXxxxDef macros
+ *    Added: osTimerDelete, osMutexDelete, osSemaphoreDelete
+ *    Added: osKernelInitialize
+ * Version 1.02
+ *    Control functions for short timeouts in microsecond resolution:
+ *    Added: osKernelSysTick, osKernelSysTickFrequency, osKernelSysTickMicroSec
+ *    Removed: osSignalGet 
+ *----------------------------------------------------------------------------
+ *
+ * Copyright (c) 2013 ARM LIMITED
+ * All rights reserved.
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *  - Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ *  - Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *  - Neither the name of ARM  nor the names of its contributors may be used
+ *    to endorse or promote products derived from this software without
+ *    specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+ * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ *---------------------------------------------------------------------------*/
+ 
+ 
+#ifndef _CMSIS_OS_H
+#define _CMSIS_OS_H
+ 
+/// \note MUST REMAIN UNCHANGED: \b osCMSIS identifies the CMSIS-RTOS API version.
+#define osCMSIS           0x10002      ///< API version (main [31:16] .sub [15:0])
+ 
+/// \note CAN BE CHANGED: \b osCMSIS_KERNEL identifies the underlying RTOS kernel and version number.
+#define osCMSIS_KERNEL    0x10000	   ///< RTOS identification and version (main [31:16] .sub [15:0])
+ 
+/// \note MUST REMAIN UNCHANGED: \b osKernelSystemId shall be consistent in every CMSIS-RTOS.
+#define osKernelSystemId "KERNEL V1.00"   ///< RTOS identification string
+ 
+/// \note MUST REMAIN UNCHANGED: \b osFeature_xxx shall be consistent in every CMSIS-RTOS.
+#define osFeature_MainThread   1       ///< main thread      1=main can be thread, 0=not available
+#define osFeature_Pool         1       ///< Memory Pools:    1=available, 0=not available
+#define osFeature_MailQ        1       ///< Mail Queues:     1=available, 0=not available
+#define osFeature_MessageQ     1       ///< Message Queues:  1=available, 0=not available
+#define osFeature_Signals      8       ///< maximum number of Signal Flags available per thread
+#define osFeature_Semaphore    30      ///< maximum count for \ref osSemaphoreCreate function
+#define osFeature_Wait         1       ///< osWait function: 1=available, 0=not available
+#define osFeature_SysTick      1       ///< osKernelSysTick functions: 1=available, 0=not available
+ 
+#include <stdint.h>
+#include <stddef.h>
+ 
+#ifdef  __cplusplus
+extern "C"
+{
+#endif
+ 
+ 
+// ==== Enumeration, structures, defines ====
+ 
+/// Priority used for thread control.
+/// \note MUST REMAIN UNCHANGED: \b osPriority shall be consistent in every CMSIS-RTOS.
+typedef enum  {
+  osPriorityIdle          = -3,          ///< priority: idle (lowest)
+  osPriorityLow           = -2,          ///< priority: low
+  osPriorityBelowNormal   = -1,          ///< priority: below normal
+  osPriorityNormal        =  0,          ///< priority: normal (default)
+  osPriorityAboveNormal   = +1,          ///< priority: above normal
+  osPriorityHigh          = +2,          ///< priority: high
+  osPriorityRealtime      = +3,          ///< priority: realtime (highest)
+  osPriorityError         =  0x84        ///< system cannot determine priority or thread has illegal priority
+} osPriority;
+ 
+/// Timeout value.
+/// \note MUST REMAIN UNCHANGED: \b osWaitForever shall be consistent in every CMSIS-RTOS.
+#define osWaitForever     0xFFFFFFFF     ///< wait forever timeout value
+ 
+/// Status code values returned by CMSIS-RTOS functions.
+/// \note MUST REMAIN UNCHANGED: \b osStatus shall be consistent in every CMSIS-RTOS.
+typedef enum  {
+  osOK                    =     0,       ///< function completed; no error or event occurred.
+  osEventSignal           =  0x08,       ///< function completed; signal event occurred.
+  osEventMessage          =  0x10,       ///< function completed; message event occurred.
+  osEventMail             =  0x20,       ///< function completed; mail event occurred.
+  osEventTimeout          =  0x40,       ///< function completed; timeout occurred.
+  osErrorParameter        =  0x80,       ///< parameter error: a mandatory parameter was missing or specified an incorrect object.
+  osErrorResource         =  0x81,       ///< resource not available: a specified resource was not available.
+  osErrorTimeoutResource  =  0xC1,       ///< resource not available within given time: a specified resource was not available within the timeout period.
+  osErrorISR              =  0x82,       ///< not allowed in ISR context: the function cannot be called from interrupt service routines.
+  osErrorISRRecursive     =  0x83,       ///< function called multiple times from ISR with same object.
+  osErrorPriority         =  0x84,       ///< system cannot determine priority or thread has illegal priority.
+  osErrorNoMemory         =  0x85,       ///< system is out of memory: it was impossible to allocate or reserve memory for the operation.
+  osErrorValue            =  0x86,       ///< value of a parameter is out of range.
+  osErrorOS               =  0xFF,       ///< unspecified RTOS error: run-time error but no other error message fits.
+  os_status_reserved      =  0x7FFFFFFF  ///< prevent from enum down-size compiler optimization.
+} osStatus;
+ 
+ 
+/// Timer type value for the timer definition.
+/// \note MUST REMAIN UNCHANGED: \b os_timer_type shall be consistent in every CMSIS-RTOS.
+typedef enum  {
+  osTimerOnce             =     0,       ///< one-shot timer
+  osTimerPeriodic         =     1        ///< repeating timer
+} os_timer_type;
+ 
+/// Entry point of a thread.
+/// \note MUST REMAIN UNCHANGED: \b os_pthread shall be consistent in every CMSIS-RTOS.
+typedef void (*os_pthread) (void const *argument);
+ 
+/// Entry point of a timer call back function.
+/// \note MUST REMAIN UNCHANGED: \b os_ptimer shall be consistent in every CMSIS-RTOS.
+typedef void (*os_ptimer) (void const *argument);
+ 
+// >>> the following data type definitions may shall adapted towards a specific RTOS
+ 
+/// Thread ID identifies the thread (pointer to a thread control block).
+/// \note CAN BE CHANGED: \b os_thread_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_thread_cb *osThreadId;
+ 
+/// Timer ID identifies the timer (pointer to a timer control block).
+/// \note CAN BE CHANGED: \b os_timer_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_timer_cb *osTimerId;
+ 
+/// Mutex ID identifies the mutex (pointer to a mutex control block).
+/// \note CAN BE CHANGED: \b os_mutex_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_mutex_cb *osMutexId;
+ 
+/// Semaphore ID identifies the semaphore (pointer to a semaphore control block).
+/// \note CAN BE CHANGED: \b os_semaphore_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_semaphore_cb *osSemaphoreId;
+ 
+/// Pool ID identifies the memory pool (pointer to a memory pool control block).
+/// \note CAN BE CHANGED: \b os_pool_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_pool_cb *osPoolId;
+ 
+/// Message ID identifies the message queue (pointer to a message queue control block).
+/// \note CAN BE CHANGED: \b os_messageQ_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_messageQ_cb *osMessageQId;
+ 
+/// Mail ID identifies the mail queue (pointer to a mail queue control block).
+/// \note CAN BE CHANGED: \b os_mailQ_cb is implementation specific in every CMSIS-RTOS.
+typedef struct os_mailQ_cb *osMailQId;
+ 
+ 
+/// Thread Definition structure contains startup information of a thread.
+/// \note CAN BE CHANGED: \b os_thread_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_thread_def  {
+  os_pthread               pthread;    ///< start address of thread function
+  osPriority             tpriority;    ///< initial thread priority
+  uint32_t               instances;    ///< maximum number of instances of that thread function
+  uint32_t               stacksize;    ///< stack size requirements in bytes; 0 is default stack size
+} osThreadDef_t;
+ 
+/// Timer Definition structure contains timer parameters.
+/// \note CAN BE CHANGED: \b os_timer_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_timer_def  {
+  os_ptimer                 ptimer;    ///< start address of a timer function
+} osTimerDef_t;
+ 
+/// Mutex Definition structure contains setup information for a mutex.
+/// \note CAN BE CHANGED: \b os_mutex_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_mutex_def  {
+  uint32_t                   dummy;    ///< dummy value.
+} osMutexDef_t;
+ 
+/// Semaphore Definition structure contains setup information for a semaphore.
+/// \note CAN BE CHANGED: \b os_semaphore_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_semaphore_def  {
+  uint32_t                   dummy;    ///< dummy value.
+} osSemaphoreDef_t;
+ 
+/// Definition structure for memory block allocation.
+/// \note CAN BE CHANGED: \b os_pool_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_pool_def  {
+  uint32_t                 pool_sz;    ///< number of items (elements) in the pool
+  uint32_t                 item_sz;    ///< size of an item
+  void                       *pool;    ///< pointer to memory for pool
+} osPoolDef_t;
+ 
+/// Definition structure for message queue.
+/// \note CAN BE CHANGED: \b os_messageQ_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_messageQ_def  {
+  uint32_t                queue_sz;    ///< number of elements in the queue
+  uint32_t                 item_sz;    ///< size of an item
+  void                       *pool;    ///< memory array for messages
+} osMessageQDef_t;
+ 
+/// Definition structure for mail queue.
+/// \note CAN BE CHANGED: \b os_mailQ_def is implementation specific in every CMSIS-RTOS.
+typedef struct os_mailQ_def  {
+  uint32_t                queue_sz;    ///< number of elements in the queue
+  uint32_t                 item_sz;    ///< size of an item
+  void                       *pool;    ///< memory array for mail
+} osMailQDef_t;
+ 
+/// Event structure contains detailed information about an event.
+/// \note MUST REMAIN UNCHANGED: \b os_event shall be consistent in every CMSIS-RTOS.
+///       However the struct may be extended at the end.
+typedef struct  {
+  osStatus                 status;     ///< status code: event or error information
+  union  {
+    uint32_t                    v;     ///< message as 32-bit value
+    void                       *p;     ///< message or mail as void pointer
+    int32_t               signals;     ///< signal flags
+  } value;                             ///< event value
+  union  {
+    osMailQId             mail_id;     ///< mail id obtained by \ref osMailCreate
+    osMessageQId       message_id;     ///< message id obtained by \ref osMessageCreate
+  } def;                               ///< event definition
+} osEvent;
+ 
+ 
+//  ==== Kernel Control Functions ====
+ 
+/// Initialize the RTOS Kernel for creating objects.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osKernelInitialize shall be consistent in every CMSIS-RTOS.
+osStatus osKernelInitialize (void);
+ 
+/// Start the RTOS Kernel.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osKernelStart shall be consistent in every CMSIS-RTOS.
+osStatus osKernelStart (void);
+ 
+/// Check if the RTOS kernel is already started.
+/// \note MUST REMAIN UNCHANGED: \b osKernelRunning shall be consistent in every CMSIS-RTOS.
+/// \return 0 RTOS is not started, 1 RTOS is started.
+int32_t osKernelRunning(void);
+ 
+#if (defined (osFeature_SysTick)  &&  (osFeature_SysTick != 0))     // System Timer available
+ 
+/// Get the RTOS kernel system timer counter 
+/// \note MUST REMAIN UNCHANGED: \b osKernelSysTick shall be consistent in every CMSIS-RTOS.
+/// \return RTOS kernel system timer as 32-bit value 
+uint32_t osKernelSysTick (void);
+ 
+/// The RTOS kernel system timer frequency in Hz
+/// \note Reflects the system timer setting and is typically defined in a configuration file.
+#define osKernelSysTickFrequency 100000000
+ 
+/// Convert a microseconds value to a RTOS kernel system timer value.
+/// \param         microsec     time value in microseconds.
+/// \return time value normalized to the \ref osKernelSysTickFrequency
+#define osKernelSysTickMicroSec(microsec) (((uint64_t)microsec * (osKernelSysTickFrequency)) / 1000000)
+ 
+#endif    // System Timer available
+ 
+//  ==== Thread Management ====
+ 
+/// Create a Thread Definition with function, priority, and stack requirements.
+/// \param         name         name of the thread function.
+/// \param         priority     initial priority of the thread function.
+/// \param         instances    number of possible thread instances.
+/// \param         stacksz      stack size (in bytes) requirements for the thread function.
+/// \note CAN BE CHANGED: The parameters to \b osThreadDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osThreadDef(name, priority, instances, stacksz)  \
+extern const osThreadDef_t os_thread_def_##name
+#else                            // define the object
+#define osThreadDef(name, priority, instances, stacksz)  \
+const osThreadDef_t os_thread_def_##name = \
+{ (name), (priority), (instances), (stacksz)  }
+#endif
+ 
+/// Access a Thread definition.
+/// \param         name          name of the thread definition object.
+/// \note CAN BE CHANGED: The parameter to \b osThread shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osThread(name)  \
+&os_thread_def_##name
+ 
+/// Create a thread and add it to Active Threads and set it to state READY.
+/// \param[in]     thread_def    thread definition referenced with \ref osThread.
+/// \param[in]     argument      pointer that is passed to the thread function as start argument.
+/// \return thread ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osThreadCreate shall be consistent in every CMSIS-RTOS.
+osThreadId osThreadCreate (const osThreadDef_t *thread_def, void *argument);
+ 
+/// Return the thread ID of the current running thread.
+/// \return thread ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osThreadGetId shall be consistent in every CMSIS-RTOS.
+osThreadId osThreadGetId (void);
+ 
+/// Terminate execution of a thread and remove it from Active Threads.
+/// \param[in]     thread_id   thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osThreadTerminate shall be consistent in every CMSIS-RTOS.
+osStatus osThreadTerminate (osThreadId thread_id);
+ 
+/// Pass control to next thread that is in state \b READY.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osThreadYield shall be consistent in every CMSIS-RTOS.
+osStatus osThreadYield (void);
+ 
+/// Change priority of an active thread.
+/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.
+/// \param[in]     priority      new priority value for the thread function.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osThreadSetPriority shall be consistent in every CMSIS-RTOS.
+osStatus osThreadSetPriority (osThreadId thread_id, osPriority priority);
+ 
+/// Get current priority of an active thread.
+/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.
+/// \return current priority value of the thread function.
+/// \note MUST REMAIN UNCHANGED: \b osThreadGetPriority shall be consistent in every CMSIS-RTOS.
+osPriority osThreadGetPriority (osThreadId thread_id);
+ 
+ 
+//  ==== Generic Wait Functions ====
+ 
+/// Wait for Timeout (Time Delay).
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue "time delay" value
+/// \return status code that indicates the execution status of the function.
+osStatus osDelay (uint32_t millisec);
+ 
+#if (defined (osFeature_Wait)  &&  (osFeature_Wait != 0))     // Generic Wait available
+ 
+/// Wait for Signal, Message, Mail, or Timeout.
+/// \param[in] millisec          \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out
+/// \return event that contains signal, message, or mail information or error code.
+/// \note MUST REMAIN UNCHANGED: \b osWait shall be consistent in every CMSIS-RTOS.
+osEvent osWait (uint32_t millisec);
+ 
+#endif  // Generic Wait available
+ 
+ 
+//  ==== Timer Management Functions ====
+/// Define a Timer object.
+/// \param         name          name of the timer object.
+/// \param         function      name of the timer call back function.
+/// \note CAN BE CHANGED: The parameter to \b osTimerDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osTimerDef(name, function)  \
+extern const osTimerDef_t os_timer_def_##name
+#else                            // define the object
+#define osTimerDef(name, function)  \
+const osTimerDef_t os_timer_def_##name = \
+{ (function) }
+#endif
+ 
+/// Access a Timer definition.
+/// \param         name          name of the timer object.
+/// \note CAN BE CHANGED: The parameter to \b osTimer shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osTimer(name) \
+&os_timer_def_##name
+ 
+/// Create a timer.
+/// \param[in]     timer_def     timer object referenced with \ref osTimer.
+/// \param[in]     type          osTimerOnce for one-shot or osTimerPeriodic for periodic behavior.
+/// \param[in]     argument      argument to the timer call back function.
+/// \return timer ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osTimerCreate shall be consistent in every CMSIS-RTOS.
+osTimerId osTimerCreate (const osTimerDef_t *timer_def, os_timer_type type, void *argument);
+ 
+/// Start or restart a timer.
+/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue "time delay" value of the timer.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osTimerStart shall be consistent in every CMSIS-RTOS.
+osStatus osTimerStart (osTimerId timer_id, uint32_t millisec);
+ 
+/// Stop the timer.
+/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osTimerStop shall be consistent in every CMSIS-RTOS.
+osStatus osTimerStop (osTimerId timer_id);
+ 
+/// Delete a timer that was created by \ref osTimerCreate.
+/// \param[in]     timer_id      timer ID obtained by \ref osTimerCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osTimerDelete shall be consistent in every CMSIS-RTOS.
+osStatus osTimerDelete (osTimerId timer_id);
+ 
+ 
+//  ==== Signal Management ====
+ 
+/// Set the specified Signal Flags of an active thread.
+/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.
+/// \param[in]     signals       specifies the signal flags of the thread that should be set.
+/// \return previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters.
+/// \note MUST REMAIN UNCHANGED: \b osSignalSet shall be consistent in every CMSIS-RTOS.
+int32_t osSignalSet (osThreadId thread_id, int32_t signals);
+ 
+/// Clear the specified Signal Flags of an active thread.
+/// \param[in]     thread_id     thread ID obtained by \ref osThreadCreate or \ref osThreadGetId.
+/// \param[in]     signals       specifies the signal flags of the thread that shall be cleared.
+/// \return previous signal flags of the specified thread or 0x80000000 in case of incorrect parameters or call from ISR.
+/// \note MUST REMAIN UNCHANGED: \b osSignalClear shall be consistent in every CMSIS-RTOS.
+int32_t osSignalClear (osThreadId thread_id, int32_t signals);
+ 
+/// Wait for one or more Signal Flags to become signaled for the current \b RUNNING thread.
+/// \param[in]     signals       wait until all specified signal flags set or 0 for any single signal flag.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.
+/// \return event flag information or error code.
+/// \note MUST REMAIN UNCHANGED: \b osSignalWait shall be consistent in every CMSIS-RTOS.
+osEvent osSignalWait (int32_t signals, uint32_t millisec);
+ 
+ 
+//  ==== Mutex Management ====
+ 
+/// Define a Mutex.
+/// \param         name          name of the mutex object.
+/// \note CAN BE CHANGED: The parameter to \b osMutexDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osMutexDef(name)  \
+extern const osMutexDef_t os_mutex_def_##name
+#else                            // define the object
+#define osMutexDef(name)  \
+const osMutexDef_t os_mutex_def_##name = { 0 }
+#endif
+ 
+/// Access a Mutex definition.
+/// \param         name          name of the mutex object.
+/// \note CAN BE CHANGED: The parameter to \b osMutex shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osMutex(name)  \
+&os_mutex_def_##name
+ 
+/// Create and Initialize a Mutex object.
+/// \param[in]     mutex_def     mutex definition referenced with \ref osMutex.
+/// \return mutex ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osMutexCreate shall be consistent in every CMSIS-RTOS.
+osMutexId osMutexCreate (const osMutexDef_t *mutex_def);
+ 
+/// Wait until a Mutex becomes available.
+/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMutexWait shall be consistent in every CMSIS-RTOS.
+osStatus osMutexWait (osMutexId mutex_id, uint32_t millisec);
+ 
+/// Release a Mutex that was obtained by \ref osMutexWait.
+/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMutexRelease shall be consistent in every CMSIS-RTOS.
+osStatus osMutexRelease (osMutexId mutex_id);
+ 
+/// Delete a Mutex that was created by \ref osMutexCreate.
+/// \param[in]     mutex_id      mutex ID obtained by \ref osMutexCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMutexDelete shall be consistent in every CMSIS-RTOS.
+osStatus osMutexDelete (osMutexId mutex_id);
+ 
+ 
+//  ==== Semaphore Management Functions ====
+ 
+#if (defined (osFeature_Semaphore)  &&  (osFeature_Semaphore != 0))     // Semaphore available
+ 
+/// Define a Semaphore object.
+/// \param         name          name of the semaphore object.
+/// \note CAN BE CHANGED: The parameter to \b osSemaphoreDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osSemaphoreDef(name)  \
+extern const osSemaphoreDef_t os_semaphore_def_##name
+#else                            // define the object
+#define osSemaphoreDef(name)  \
+const osSemaphoreDef_t os_semaphore_def_##name = { 0 }
+#endif
+ 
+/// Access a Semaphore definition.
+/// \param         name          name of the semaphore object.
+/// \note CAN BE CHANGED: The parameter to \b osSemaphore shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osSemaphore(name)  \
+&os_semaphore_def_##name
+ 
+/// Create and Initialize a Semaphore object used for managing resources.
+/// \param[in]     semaphore_def semaphore definition referenced with \ref osSemaphore.
+/// \param[in]     count         number of available resources.
+/// \return semaphore ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osSemaphoreCreate shall be consistent in every CMSIS-RTOS.
+osSemaphoreId osSemaphoreCreate (const osSemaphoreDef_t *semaphore_def, int32_t count);
+ 
+/// Wait until a Semaphore token becomes available.
+/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.
+/// \return number of available tokens, or -1 in case of incorrect parameters.
+/// \note MUST REMAIN UNCHANGED: \b osSemaphoreWait shall be consistent in every CMSIS-RTOS.
+int32_t osSemaphoreWait (osSemaphoreId semaphore_id, uint32_t millisec);
+ 
+/// Release a Semaphore token.
+/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osSemaphoreRelease shall be consistent in every CMSIS-RTOS.
+osStatus osSemaphoreRelease (osSemaphoreId semaphore_id);
+ 
+/// Delete a Semaphore that was created by \ref osSemaphoreCreate.
+/// \param[in]     semaphore_id  semaphore object referenced with \ref osSemaphoreCreate.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osSemaphoreDelete shall be consistent in every CMSIS-RTOS.
+osStatus osSemaphoreDelete (osSemaphoreId semaphore_id);
+ 
+#endif     // Semaphore available
+ 
+ 
+//  ==== Memory Pool Management Functions ====
+ 
+#if (defined (osFeature_Pool)  &&  (osFeature_Pool != 0))  // Memory Pool Management available
+ 
+/// \brief Define a Memory Pool.
+/// \param         name          name of the memory pool.
+/// \param         no            maximum number of blocks (objects) in the memory pool.
+/// \param         type          data type of a single block (object).
+/// \note CAN BE CHANGED: The parameter to \b osPoolDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osPoolDef(name, no, type)   \
+extern const osPoolDef_t os_pool_def_##name
+#else                            // define the object
+#define osPoolDef(name, no, type)   \
+const osPoolDef_t os_pool_def_##name = \
+{ (no), sizeof(type), NULL }
+#endif
+ 
+/// \brief Access a Memory Pool definition.
+/// \param         name          name of the memory pool
+/// \note CAN BE CHANGED: The parameter to \b osPool shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osPool(name) \
+&os_pool_def_##name
+ 
+/// Create and Initialize a memory pool.
+/// \param[in]     pool_def      memory pool definition referenced with \ref osPool.
+/// \return memory pool ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osPoolCreate shall be consistent in every CMSIS-RTOS.
+osPoolId osPoolCreate (const osPoolDef_t *pool_def);
+ 
+/// Allocate a memory block from a memory pool.
+/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.
+/// \return address of the allocated memory block or NULL in case of no memory available.
+/// \note MUST REMAIN UNCHANGED: \b osPoolAlloc shall be consistent in every CMSIS-RTOS.
+void *osPoolAlloc (osPoolId pool_id);
+ 
+/// Allocate a memory block from a memory pool and set memory block to zero.
+/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.
+/// \return address of the allocated memory block or NULL in case of no memory available.
+/// \note MUST REMAIN UNCHANGED: \b osPoolCAlloc shall be consistent in every CMSIS-RTOS.
+void *osPoolCAlloc (osPoolId pool_id);
+ 
+/// Return an allocated memory block back to a specific memory pool.
+/// \param[in]     pool_id       memory pool ID obtain referenced with \ref osPoolCreate.
+/// \param[in]     block         address of the allocated memory block that is returned to the memory pool.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osPoolFree shall be consistent in every CMSIS-RTOS.
+osStatus osPoolFree (osPoolId pool_id, void *block);
+ 
+#endif   // Memory Pool Management available
+ 
+ 
+//  ==== Message Queue Management Functions ====
+ 
+#if (defined (osFeature_MessageQ)  &&  (osFeature_MessageQ != 0))     // Message Queues available
+ 
+/// \brief Create a Message Queue Definition.
+/// \param         name          name of the queue.
+/// \param         queue_sz      maximum number of messages in the queue.
+/// \param         type          data type of a single message element (for debugger).
+/// \note CAN BE CHANGED: The parameter to \b osMessageQDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osMessageQDef(name, queue_sz, type)   \
+extern const osMessageQDef_t os_messageQ_def_##name
+#else                            // define the object
+#define osMessageQDef(name, queue_sz, type)   \
+const osMessageQDef_t os_messageQ_def_##name = \
+{ (queue_sz), sizeof (type)  }
+#endif
+ 
+/// \brief Access a Message Queue Definition.
+/// \param         name          name of the queue
+/// \note CAN BE CHANGED: The parameter to \b osMessageQ shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osMessageQ(name) \
+&os_messageQ_def_##name
+ 
+/// Create and Initialize a Message Queue.
+/// \param[in]     queue_def     queue definition referenced with \ref osMessageQ.
+/// \param[in]     thread_id     thread ID (obtained by \ref osThreadCreate or \ref osThreadGetId) or NULL.
+/// \return message queue ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osMessageCreate shall be consistent in every CMSIS-RTOS.
+osMessageQId osMessageCreate (const osMessageQDef_t *queue_def, osThreadId thread_id);
+ 
+/// Put a Message to a Queue.
+/// \param[in]     queue_id      message queue ID obtained with \ref osMessageCreate.
+/// \param[in]     info          message information.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMessagePut shall be consistent in every CMSIS-RTOS.
+osStatus osMessagePut (osMessageQId queue_id, uint32_t info, uint32_t millisec);
+ 
+/// Get a Message or Wait for a Message from a Queue.
+/// \param[in]     queue_id      message queue ID obtained with \ref osMessageCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out.
+/// \return event information that includes status code.
+/// \note MUST REMAIN UNCHANGED: \b osMessageGet shall be consistent in every CMSIS-RTOS.
+osEvent osMessageGet (osMessageQId queue_id, uint32_t millisec);
+ 
+#endif     // Message Queues available
+ 
+ 
+//  ==== Mail Queue Management Functions ====
+ 
+#if (defined (osFeature_MailQ)  &&  (osFeature_MailQ != 0))     // Mail Queues available
+ 
+/// \brief Create a Mail Queue Definition.
+/// \param         name          name of the queue
+/// \param         queue_sz      maximum number of messages in queue
+/// \param         type          data type of a single message element
+/// \note CAN BE CHANGED: The parameter to \b osMailQDef shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#if defined (osObjectsExternal)  // object is external
+#define osMailQDef(name, queue_sz, type) \
+extern const osMailQDef_t os_mailQ_def_##name
+#else                            // define the object
+#define osMailQDef(name, queue_sz, type) \
+const osMailQDef_t os_mailQ_def_##name =  \
+{ (queue_sz), sizeof (type) }
+#endif
+ 
+/// \brief Access a Mail Queue Definition.
+/// \param         name          name of the queue
+/// \note CAN BE CHANGED: The parameter to \b osMailQ shall be consistent but the
+///       macro body is implementation specific in every CMSIS-RTOS.
+#define osMailQ(name)  \
+&os_mailQ_def_##name
+ 
+/// Create and Initialize mail queue.
+/// \param[in]     queue_def     reference to the mail queue definition obtain with \ref osMailQ
+/// \param[in]     thread_id     thread ID (obtained by \ref osThreadCreate or \ref osThreadGetId) or NULL.
+/// \return mail queue ID for reference by other functions or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osMailCreate shall be consistent in every CMSIS-RTOS.
+osMailQId osMailCreate (const osMailQDef_t *queue_def, osThreadId thread_id);
+ 
+/// Allocate a memory block from a mail.
+/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out
+/// \return pointer to memory block that can be filled with mail or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osMailAlloc shall be consistent in every CMSIS-RTOS.
+void *osMailAlloc (osMailQId queue_id, uint32_t millisec);
+ 
+/// Allocate a memory block from a mail and set memory block to zero.
+/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out
+/// \return pointer to memory block that can be filled with mail or NULL in case of error.
+/// \note MUST REMAIN UNCHANGED: \b osMailCAlloc shall be consistent in every CMSIS-RTOS.
+void *osMailCAlloc (osMailQId queue_id, uint32_t millisec);
+ 
+/// Put a mail to a queue.
+/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.
+/// \param[in]     mail          memory block previously allocated with \ref osMailAlloc or \ref osMailCAlloc.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMailPut shall be consistent in every CMSIS-RTOS.
+osStatus osMailPut (osMailQId queue_id, void *mail);
+ 
+/// Get a mail from a queue.
+/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.
+/// \param[in]     millisec      \ref CMSIS_RTOS_TimeOutValue or 0 in case of no time-out
+/// \return event that contains mail information or error code.
+/// \note MUST REMAIN UNCHANGED: \b osMailGet shall be consistent in every CMSIS-RTOS.
+osEvent osMailGet (osMailQId queue_id, uint32_t millisec);
+ 
+/// Free a memory block from a mail.
+/// \param[in]     queue_id      mail queue ID obtained with \ref osMailCreate.
+/// \param[in]     mail          pointer to the memory block that was obtained with \ref osMailGet.
+/// \return status code that indicates the execution status of the function.
+/// \note MUST REMAIN UNCHANGED: \b osMailFree shall be consistent in every CMSIS-RTOS.
+osStatus osMailFree (osMailQId queue_id, void *mail);
+ 
+#endif  // Mail Queues available
+ 
+ 
+#ifdef  __cplusplus
+}
+#endif
+ 
+#endif  // _CMSIS_OS_H
diff --git a/index.html b/index.html
new file mode 100644
index 0000000..c6da080
--- /dev/null
+++ b/index.html
@@ -0,0 +1,14 @@
+﻿<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<title>Redirect to the CMSIS main page after 0 seconds</title>
+<meta http-equiv="refresh" content="0; URL=Documentation/General/html/index.html">
+<meta name="keywords" content="automatic redirection">
+</head>
+
+<body>
+
+If the automatic redirection is failing, click <a href="Documentation/General/html/index.html">open CMSIS Documentation</a>.
+
+</body>
+</html>